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-b + 0*k = o*k - 17, 4*b - 2*k - 40 = 0. What is the units digit of b?
1
Suppose -5*q + 0*q + 50 = 0. What is the tens digit of q?
1
Let u(w) = w**2 - 2*w + 3. Let r = 8 + -3. What is the units digit of u(r)?
8
Let j = 7 - 3. Suppose 4*o = -4*s + 20, -j*o + 4*s + s - 25 = 0. Suppose o = -f + 16 - 5. What is the units digit of f?
1
Suppose -d = q - 166, 0 = -2*d - d + 5*q + 506. What is the units digit of d?
7
Let i be (-16)/(-24) + (-20)/(-6). Suppose 3*o + j - 3*j = 32, 4*j - 56 = -i*o. What is the tens digit of o?
1
Suppose 627 = 11*y - 8*y. What is the hundreds digit of y?
2
Let f be 12/(-3) + 0 - -6. Suppose 2*s - 2*c = -5*c + 19, -3*s + 2*c = 4. Suppose -s*k = q - 27, 2*q - 6 = f*k - 3*k. What is the units digit of k?
6
Let l(i) = -i - 13. Let q be l(-7). Let d be 24/q + (-1 - 0). Let c = d - -6. What is the units digit of c?
1
Let q = 5 + -3. Suppose 4*s - q = 10. What is the units digit of s?
3
Suppose s + 4*s + 20 = 0. Let u = s + 1. Let m = u + 6. What is the units digit of m?
3
Let l be (-10)/(-30) - (-16)/6. Suppose 5*x + 3*g - 132 = 0, -l*x + 0*x + 2*g + 64 = 0. What is the units digit of x?
4
Let y(o) = -33*o - 8. What is the tens digit of y(-4)?
2
Suppose 76 = 4*x - 20. Suppose 0 = -3*g + 2*p - x, 0 = -3*p + 11 - 2. Let b(u) = -u**2 - 7*u + 2. What is the units digit of b(g)?
8
Let v = 0 + -38. Let t be 3/(-9) + v/(-6). What is the units digit of (3 + -5)/((-4)/t)?
3
What is the units digit of ((-22)/1 + -3)*-1?
5
Let a = 63 + 6. What is the units digit of a?
9
Suppose -k = 2*g - 42, 3*k - 210 = -2*k + 5*g. What is the units digit of k?
2
What is the units digit of (27/12)/((-9)/(-24))?
6
Let a(h) = -3*h + 9. Let x(r) = 6*r - 16. Let p(c) = 7*a(c) + 4*x(c). Suppose 0 + 2 = k. What is the units digit of p(k)?
5
Suppose -32 - 43 = 5*z. Let o be -2 + (2 - z)/1. Suppose n + 5 - o = 0. What is the tens digit of n?
1
Suppose 3*i = 4 + 11. Suppose -p + 2 = 0, h - p + i*p = 23. What is the tens digit of h?
1
Suppose -5*h - 8 = -h + s, 0 = 3*h - s + 6. Let k = h - -5. Suppose -k*m - 4*b + 0*b = -18, 4*m - 2*b = 46. What is the tens digit of m?
1
Suppose k - 4*o = 28, 0*o - 4*o - 60 = -5*k. Let w be -4 + (-1)/(2/(-34)). Let s = w - k. What is the units digit of s?
5
Suppose -4*k - 24 = -2*c, 5*k = -0*c - c - 16. Suppose 4*y - 1 = t, 4*y = c*t - 0*t + 4. Suppose 3 = p - y. What is the units digit of p?
3
Let f be 2/(-10) + 16/5. Suppose -4 = -f*b + 32. What is the units digit of b?
2
Let v = -5 + 11. Let x(w) be the third derivative of -w**6/120 + w**5/12 + w**4/4 + 4*w**3/3 - 2*w**2. What is the units digit of x(v)?
8
What is the tens digit of (-3 - 2/(2/(-7))) + 50?
5
Let l(o) = o**2 - 3*o + 2. Let b be l(2). Suppose 17*g + 18 = 26*g. Suppose -4*c - g*d + 52 = b, 2*c + 0*d - 20 = 2*d. What is the units digit of c?
2
What is the units digit of (0 - (-1 - -2))*(-4 + -2)?
6
Let z be (-21)/3 - (0 - -1). What is the units digit of (84/9)/(z/(-12))?
4
Let h(s) = s**2 + 12. Let a be (12/21)/((-4)/(-14)). Let x = 2 - a. What is the units digit of h(x)?
2
Let w = 3 + -3. Let q be (-21)/((-2)/(2 - w)). What is the units digit of q*((-3)/(-9))/1?
7
Suppose 0*v + 5*v - 5 = 0, 3*f - 506 = -2*v. What is the units digit of f?
8
Let i = 70 - 10. Let n(v) = -8*v. Let o be n(-1). What is the units digit of o/(-6)*i/(-8)?
0
Let o(c) = -4*c - 5. Let f(i) = i. Let r(p) = 6*f(p) + o(p). Let s = -3 - -9. What is the units digit of r(s)?
7
Let y be ((-18)/10)/((-10)/50). Let j(k) = 9*k - 26. Let r(f) = -3*f + 9. Let a(v) = -2*j(v) - 7*r(v). What is the units digit of a(y)?
6
Let j(q) = -q**3 + 5*q**2 - 3*q + 2. Let a = -4 + 6. What is the units digit of j(a)?
8
Suppose 9 + 5 = 4*k + 2*v, -4*k + 9 = 3*v. Suppose 0 = 5*g + 5, 3*g - 37 = -2*b + k*g. Let w = b - 12. What is the units digit of w?
5
Let g(r) = r**2 + 10*r + 12. Let y be g(-9). Suppose 3*w + 5*l - 6 = 0, 5*l + 4 = w + w. Suppose 3*t = -3, y*t + 9 = -k + w*k. What is the units digit of k?
6
Let a = 30 + -50. Let j = -3 - a. What is the units digit of j?
7
Let r be 1 + 0 - -3 - 2. Let o(b) = -3*b + 0*b**2 + b**r + 3*b + 6 - 6*b. What is the units digit of o(6)?
6
Let j(i) = 7*i**3 - i**2 - i + 1. Let b be j(1). Let p = b + -4. What is the units digit of (1 - -5)/(p - 1)?
6
Let o = -2 + 1. Let f be 7*(o - (-5 + 3)). Suppose 7 = m - f. What is the tens digit of m?
1
Let p = 8 + -6. Suppose -2 = p*f - 6. What is the units digit of f?
2
Suppose z - 8 = -0*z. What is the units digit of z?
8
Let s be (-2)/(-2) + -1 + 2. Suppose -5*x + 53 = -s. What is the units digit of 0*2/(-6) + x?
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the second biggest value in -4/7, 1, b, -2?
b
Let x = -2.23 - -2.2. Let k = -344.1 - -344. Which is the third biggest value? (a) x (b) k (c) 0.07
b
Let h be ((-3)/6)/(3/(-4)). Let l = -138.1 - 2.9. Let q = 141.2 + l. Which is the second smallest value? (a) -1 (b) h (c) q (d) -3
a
Let m = -1355767/263 + 5155. What is the fourth smallest value in 0.3, 3, 2/5, 1/5, m?
2/5
Let c be -4 + 6 + (-14)/8. Suppose -6*y + 4*a = -2*y + 28, -y = -5*a + 35. What is the biggest value in -1, c, y, 0.3?
0.3
Let f be 5/(-15) - 5/(-33). Let y = -10.89 + 11. Let k = 0.05 - y. Which is the second biggest value? (a) f (b) -2 (c) k
a
Let l = -3.533 - -0.033. Let t = -6.1 - l. Let p = t + 2.4. Which is the fourth biggest value? (a) 4 (b) p (c) -3 (d) 0
c
Suppose -4*l - 10 = -0*p - 2*p, -3*p = -l - 15. Let s = 175039/3 - 58346. Which is the smallest value? (a) s (b) 1/34 (c) l
c
Let p = 1.0694 + -0.8694. What is the biggest value in -0.07, p, 24/5, 2?
24/5
Suppose -41*w + 160 = -9*w. Let s be (0 - 1)/(1/(-9)*-6). What is the biggest value in s, w, -0.9?
w
Suppose 41 = -11*n - 14. Let k = 479.7 + -480. What is the second smallest value in n, k, -2, 0.09?
-2
Let l = -1.82 + 1.32. Let y = 16/15 + -2/3. Which is the smallest value? (a) 1 (b) 2 (c) y (d) l
d
Let u = -0.16 + 2.16. Let k = -259.238 + 0.338. Let f = -259 - k. Which is the third smallest value? (a) 1/7 (b) 1 (c) u (d) f
b
Let q = -14795 - -73976/5. Which is the fourth smallest value? (a) -2/9 (b) -0.03 (c) 2 (d) q (e) -1/7
d
Let j = 4310 + -4320. What is the second smallest value in 197, j, 0.2?
0.2
Let x = -47631.05 + 47631. Which is the second smallest value? (a) x (b) -6 (c) 33
a
Let l = -698 + 694. Let o = -1 + 5. Let r = o + -4.3. What is the fourth biggest value in r, -2, -2/5, l?
l
Let j be (96/8)/6 + (-1 - 1). Suppose -3*r + 32 = -j*r + 4*d, 0 = 5*r + d - 42. What is the biggest value in r, 1, 2?
r
Let u = 69/2 - 106/3. Let w = 0.54718 - 0.04718. What is the third smallest value in 0, u, w?
w
Let j be (-7)/(252/486) - -12. What is the third smallest value in -1/2, -2/17, -254, 2, j?
-1/2
Let o = -55 - 1. Let g = o - -58. Let u = -29 + 204/7. Which is the smallest value? (a) 14 (b) g (c) u
c
Let q be 4/48*168/112. What is the fifth smallest value in -5, 0, q, 4, 0.4?
4
Let y be (2/(-3))/((-154)/(-66)). Which is the second biggest value? (a) y (b) 4 (c) 0.37
c
Let q be ((-11)/(-6))/(-1) - -2. Let z = -237 + 233. Let a be -4 + 2*((-30)/z - 4). What is the second biggest value in a, q, 16?
a
Suppose -32*x + 4*x - 56924 = 0. Let y be x/2140 + (6/8)/3. Which is the third biggest value? (a) 5 (b) y (c) -1
c
Let h be (12/10)/((-80)/600) - -7. Let z be (6/(-5))/((-27)/2340). Which is the third smallest value? (a) h (b) z (c) -3/2
b
Let v(z) = -z**3 + 5*z + 6. Let i be v(-2). Suppose -11 = -i*j - 15. Let t be (7 + 1)*-1*5. Which is the smallest value? (a) -1/2 (b) j (c) t
c
Let k be 1*(-2)/(-36)*-2. Let p = -4789/45 + 956/9. Which is the second biggest value? (a) -0.6 (b) k (c) p
c
Let z = 17 - -9. Suppose 4*a - z = 2*h, -h + 18 = 3*a + 1. Let g be (a/(-8) + 0)/(1 + 2). What is the third smallest value in 2, 1/7, 2/3, g?
2/3
Let y = -1794 + 1796. Let b = -2 + -2. Let n = 7 + b. What is the third biggest value in y, n, -2?
-2
Let o = 3 - -2. Suppose 2*i + 0*i + 22 = -4*p, p = o*i - 33. Let s = -247 + 247. Which is the third smallest value? (a) p (b) -5 (c) s
c
Let n = -15621 - -15623. What is the biggest value in -3, n, 91/5?
91/5
Let t = -0.43 - -0.33. Let u = t + 28.1. Let q = -23 + u. Which is the smallest value? (a) q (b) -2 (c) -0.2
b
Let s = -22 + -4. Let i = 30 + s. Let m = -34 + 36. Which is the smallest value? (a) i (b) -1/8 (c) m
b
Let x = -726.95 - -727. Suppose -2*l + 3*v = -22, 2*l - 4 = -4*v - 10. What is the third biggest value in x, l, 2?
x
Let l = -111 + 111.1. Let s(t) = -t + 8. Let v be s(7). Which is the second smallest value? (a) -28 (b) v (c) l
c
Let r = 717 - 721.53. Let f = r + 0.53. What is the third smallest value in f, 5, -7?
5
Let i = -24/19 + 26/19. Let z be (-50)/12 - (-1)/(-2) - (71 + 9825/(-131)). Which is the second biggest value? (a) 38.4 (b) i (c) z
b
Let y = 0.1 - -1.9. Let v = -7.491 - -7.54. Let s = v - 1.049. What is the smallest value in 1/8, y, s?
s
Let h = 4.5 - 9.5. What is the fourth biggest value in 2, -6, h, -0.3?
-6
Let h = -1611 - -892. Let z = -696 - h. What is the third smallest value in 0.04, 2/9, z?
z
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
e third smallest value? (a) 11 (b) 97/5 (c) -52
b
Which is the smallest value? (a) -61 (b) 5 (c) 85
a
What is the third biggest value in 48830, 4, 5, 0.1, 3/7?
4
Which is the sixth biggest value? (a) 0 (b) -0.9 (c) 3 (d) -2 (e) -1/508 (f) 5
d
What is the smallest value in -1/3, 2/11, 1/4, 0, 5/3, -18/23?
-18/23
Which is the second biggest value? (a) -7/3 (b) 2/211 (c) -2 (d) 0.2
b
What is the second smallest value in 2/85, 0.141, -4, 2?
2/85
Which is the third biggest value? (a) 4/5 (b) 2546 (c) 2.22 (d) 2
d
What is the third smallest value in -2, 3, 0.8, 19/5?
3
Which is the biggest value? (a) 0 (b) -19/3 (c) 6 (d) -5/7
c
What is the fifth biggest value in -14/3, -5, -2, -0.06, 2, -4?
-14/3
Which is the fourth smallest value? (a) -1 (b) 12 (c) -0.42219 (d) 4
b
Which is the third biggest value? (a) -0.4 (b) 0.03249 (c) -3/17
a
Which is the biggest value? (a) -1 (b) 78 (c) -90
b
Which is the fifth biggest value? (a) -11 (b) 3/5 (c) 3 (d) 0.8 (e) -6/29
a
Which is the second smallest value? (a) -2/9 (b) -4 (c) 260/97
a
What is the fourth smallest value in -4/5, 5, 2, 1/61?
5
Which is the third biggest value? (a) 2/5 (b) -0.17 (c) -0.1 (d) -4133/2
b
Which is the smallest value? (a) 3 (b) -12 (c) -7 (d) 6/7
b
Which is the third biggest value? (a) -52 (b) -8/11 (c) -5 (d) -0.5
c
What is the fourth smallest value in 0.02, -1.6, 2/13, 298?
298
What is the second smallest value in 0.05, -0.15, 687?
0.05
What is the third biggest value in -0.3652, 1/9, 11, -0.2, 2?
1/9
What is the third smallest value in 0.5, 1, -5, -19, -4/5?
-4/5
Which is the third biggest value? (a) 1/7 (b) 2/547 (c) 22/5
b
Which is the smallest value? (a) 0 (b) -35862 (c) -0.4 (d) 4
b
Which is the third smallest value? (a) -1.05 (b) -3 (c) 0.199 (d) -0.3
d
Which is the fifth biggest value? (a) 487 (b) 1/6 (c) -3/2 (d) -0.4 (e) -0.3
c
Which is the fourth smallest value? (a) 4.3 (b) 62 (c) -3 (d) 2/17
b
What is the second smallest value in -1/6, 160/93, -0.2?
-1/6
Which is the smallest value? (a) -2/13 (b) -1/10 (c) 18 (d) 4 (e) 1537
a
Which is the biggest value? (a) 0.7 (b) -2 (c) 0.1 (d) -33
a
Which is the second smallest value? (a) 0.1 (b) -0.4 (c) -2 (d) 709
b
Which is the second biggest value? (a) -159.9 (b) 2/387 (c) -3
c
What is the fourth smallest value in -2, 0.6, -1201.4, -1?
0.6
What is the third biggest value in -908, 0, 5?
-908
Which is the biggest value? (a) -3 (b) 4 (c) -1 (d) -5 (e) -0.618 (f) -0.1
b
Which is the sixth biggest value? (a) 0.381 (b) 5 (c) 0.1 (d) 0 (e) -3/2 (f) -4
f
What is the smallest value in 2/19, -2, 1/13, -1/46?
-2
What is the smallest value in -56/3, -210, -2?
-210
Which is the third smallest value? (a) 4 (b) 928 (c) 4/5 (d) 30
d
What is the smallest value in -1, 1/4, -2.49, -0.4, -4/5?
-2.49
Which is the second biggest value? (a) 3/4 (b) 60227/4 (c) 2
c
What is the biggest value in -1/7, 3, -5, 51, -0.28?
51
Which is the biggest value? (a) 1786 (b) -16/3 (c) 1 (d) -4
a
What is the third smallest value in 5, 0.1, 0.4, 18/7, -5?
0.4
What is the second smallest value in -2/39, 0.53, -2, 0.5?
-2/39
Which is the third smallest value? (a) -0.3 (b) 0.01 (c) 187/2 (d) 3
d
What is the biggest value in -1, -5/3, 4392?
4392
What is the smallest value in 1/8, -0.1, -25, 0.018?
-25
What is the second smallest value in 5, 0.4, -1/121, 8/7?
0.4
What is the sixth biggest value in -3/4, -7, 0.6, 1/4, -102, -0.1?
-102
Which is the third biggest value? (a) 4/9 (b) -870 (c) 0.3
b
What is the third biggest value in -0.62, -4, 7.23?
-4
What is the second biggest value in 4, -1/2, 3, -8, 624, -1?
4
Which is the second smallest value? (a) 0.8 (b) -0.22 (c) 1/9 (d) 0.1
d
What is the smallest value in 0.02, -2/21, -0.2, -128, 0.12, 0.5?
-128
What is the third biggest value in 3, 1/3, 17, -1.08, -1, -5?
1/3
Which is the fourth smallest value? (a) 0 (b) -74 (c) 3/8 (d) 77
d
Which is the fifth smallest value? (a) -48 (b) -0.2 (c) -794 (d) 4 (e) 3
d
What is the second smallest value in -5, 313, 1/5, -0.05, 0.4?
-0.05
Which is the second smallest value? (a) -0.4 (b) -195050 (c) -4 (d) 4
c
What is the second biggest value in 1/2, 19/7, 1/5, -5/2, -14, -4/9?
1/2
What is the smallest value in -0.21, -0.07,
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{
"pile_set_name": "DM Mathematics"
}
|
k(d).
44
Calculate the common denominator of (-683791)/1582275 - (-2)/(-75) and 4/18 + (-1574)/36.
170
Suppose 5*k = -26 - 19. Let n = 499/21 + -55/14. What is the common denominator of n and (k - -22)/(6/(-11))?
6
Let h = 472/31 - 35833/2046. What is the common denominator of h and -70/99?
198
Let o = -1464 - -2106. Let x be o/55371*(4067/(-62) + 3). Let k = x - 1/36914. Calculate the common denominator of k and 1/2.
62
Let x = -27731/39622545 - -4/8055. Calculate the common denominator of x and -83/10.
49190
Suppose v = 20*v - 18544. What is the common denominator of 90/150 - v/810 and -145/36?
324
Let w = 4112 + -4082. What is the smallest common multiple of 615 and w?
1230
Let r = -8233/286416 - -9/208. Calculate the common denominator of r and -13/36.
5508
Let f = -11519632 - -2096565895/182. Let v = f + -30/91. Let q = -345/7 + 445/14. Calculate the common denominator of q and v.
2
Suppose -d + 8*p - 4*p - 10 = 0, 2*d + 2 = 2*p. Let x(g) = -g**2 - 3*g + 1. Calculate the smallest common multiple of 19/(-38)*(-10)/(2/d) and x(-2).
15
Suppose t - 17*z + 15*z - 1063 = 211, z = 0. What is the smallest common multiple of t and 28?
2548
Suppose 4*g = q - 3, -g + 3*g - 5*q = -15. Find the common denominator of -91/6 and 1 + g - (-728)/(-429).
66
Let f = 75 + -68. Suppose -264 = -19*j + f*j. Suppose -23 = -4*x + 41. What is the smallest common multiple of x and j?
176
Suppose -6 = 3*x - 6*x. Suppose 2*v - x*a = 20, 3*v = -a - 3*a + 23. Suppose 5*n = 4*k + 101, 2*n - 4*k = 34 + 4. What is the least common multiple of n and v?
63
Calculate the common denominator of (-2 + (-115)/(-10) + -13)*-9 and -91/2140.
2140
Let r = 342 + -292. Calculate the smallest common multiple of r and 210.
1050
Suppose -2*v = 1909 + 871. Find the common denominator of (-6)/(-21) - v/84 and 1*((-92)/16)/((-77)/(-88)).
42
Let r = -90169/10 + 9027. Let i be 38861/33*27/2. Let p = -15902 + i. What is the common denominator of r and p?
110
Let o be 1683742/(-187074) + (11 - 2). Let x = o + 35014/14769. What is the common denominator of x and -133/78?
702
Find the common denominator of -125/1032 and (4*((-4)/8)/(-1))/(48/(-972)).
1032
Calculate the smallest common multiple of 48 and 12/120*-136*-20.
816
Suppose -b - 50 = -2*b. What is the lowest common multiple of (-1015)/(-435) - 1152/(-27) and b?
450
Let g be (-24)/(-1 + 5) - (4 - -5590). Let m = -89641/16 - g. What is the common denominator of m and 9/80?
80
Find the common denominator of 19/8 and 12/(-14) - 1220/1104880*-796.
15784
Suppose h - 7 = -c, -3*h + 29 = -4*c + 1. Suppose 3*i - 1 = h. What is the lowest common multiple of 5 and i*(-3 + 85/15)?
40
Calculate the common denominator of ((-6)/108)/((1/(-2))/(428/80)) and 125/72.
360
Let f(c) = -c**3 + 14*c**2 + 14*c + 13. Let v be f(15). Let b be (-2 - (2 + v))/((-2)/5). Suppose 3*u - 13 = b. Calculate the least common multiple of 2 and u.
6
Let j(y) = 5*y - 37. Let g be j(8). Suppose -4*p + 3*p - 5*l + 27 = 0, -g*p = -2*l + 4. Find the common denominator of -19/42 and -6 + 179/12 + -5 + p.
84
Suppose 0 = 3*q + 36. Let h = 12/211 - -12329/2110. Find the common denominator of ((-273)/216)/(3/q) and h.
90
Let u = 5107 + -8595. Calculate the common denominator of (-8)/(-4) - (-7464)/u and 87/20.
2180
Let s = -233/22 + 41/4. Let q = 1703/220 + s. Calculate the common denominator of q and -133/120.
120
Suppose -89*p + 76*p - 4836 = 0. Let y = p - -374. Calculate the least common multiple of y and 22.
22
Let c = -2198/3 - -7269/10. What is the common denominator of c and (2*(-221)/1170)/((-4)/(-33))?
60
Suppose -3*o + j = -300, -4*o + j + 376 + 23 = 0. Calculate the least common multiple of 495 and o.
495
Let r = -1100 + 11069/10. Let x be (-2 - -302)*4/12. What is the common denominator of (-2)/(-8) - (-885)/x and r?
10
Let g = 13460 + -107701/8. Calculate the common denominator of 43/9083 and g.
72664
Let a be (9 - 5 - -1)/((-1)/(-5)). Suppose -a*b + 222 = 72. Calculate the smallest common multiple of 72 and b.
72
Let i = 6682 + -681557/102. What is the common denominator of 11/68 and i?
204
Suppose 9 = -2*i + 3, -3*l + i + 2685 = 0. Let v be l/4 + 3/(-3). Let y = 2297/10 - v. What is the common denominator of 25/7 and y?
35
Let l = -13 + 28. Let q be 66/18*(-102)/l. Let g = 3754/165 + q. Find the common denominator of -61/3 and g.
33
Let i = 18/1187 + -35217/208912. Find the common denominator of i and -53/8.
176
Let f(y) = -y**3 - 6*y**2 + 291*y + 1717. Find the common denominator of -23/980 and f(-6).
980
Let i(o) = 41*o**2 - 1. Let t = 83 + -31. Suppose t*f - 13 = 195. What is the smallest common multiple of i(-1) and f?
40
Let a = 316 + -131. Let w = a - 184. Calculate the lowest common multiple of 206 and w.
206
Let l be 1*206/9*17502/(-108). Let f = -3709 - l. Calculate the common denominator of f and -49/9.
81
Suppose -168 = -l - 3*l. Suppose 0 = -d - 16*d - 2771. Let y = 173 + d. Calculate the least common multiple of y and l.
210
Let w(i) = -i**3 - 6*i**2 + 13*i + 22. Let d be w(-7). Let r be -13 - 0/(d/(-4)). Let z = r - -17. Calculate the least common multiple of z and 2.
4
Let s(c) = -49*c + c**2 + 22*c - 22 + 22*c + 21*c. Let n be s(-19). Suppose -2*a + 21 = z, -4*a = -2*z - n - 3. What is the least common multiple of a and 20?
20
Suppose -3*r + 860*k - 863*k + 246 = 0, 5*r - k = 350. Let t = -75 + 123. What is the least common multiple of r and t?
144
Suppose -26*b -
|
{
"pile_set_name": "DM Mathematics"
}
|
*w/5 - 4418 = 0.
-11045, 1
Factor 55*h**3 - 300*h**2 + 455*h - 150.
5*(h - 3)*(h - 2)*(11*h - 5)
What is b in -5*b**4 - 525020*b**3 - 13782825030*b**2 - 27564075020*b - 13781775005 = 0?
-52501, -1
Find n such that 9*n**5/2 + 177*n**4/2 - 1641*n**3/2 - 39057*n**2/2 - 19344*n + 247680 = 0.
-16, -5, 3, 43/3
Factor -212*v**2/5 + 10904*v + 45408/5.
-4*(v - 258)*(53*v + 44)/5
Factor 3*k**3 + 247*k**2/2 - 1240*k - 2950.
(k - 10)*(k + 2)*(6*k + 295)/2
Suppose 4*l**4 - 244*l**3 + 1352*l**2 - 1760*l = 0. What is l?
0, 2, 4, 55
Factor -29770*y**2 + 29768*y + 2.
-2*(y - 1)*(14885*y + 1)
Determine g so that 15*g**3 - 3760*g**2 - 19265*g + 23010 = 0.
-6, 1, 767/3
Suppose -w**5/10 + 15*w**4 - 3682*w**3/5 + 12951*w**2 - 137295*w/2 - 82350 = 0. What is w?
-1, 15, 60, 61
Factor x**3 + 72*x**2 - 16995*x - 1421606.
(x - 134)*(x + 103)**2
Factor -c**2/3 - 55*c + 2896/3.
-(c - 16)*(c + 181)/3
Factor -3*d**3/2 + 273*d**2/2 + 564*d + 570.
-3*(d - 95)*(d + 2)**2/2
Factor 2*h**3 - 520*h**2 + 4064*h - 8064.
2*(h - 252)*(h - 4)**2
Factor 2*a**3/3 + 720*a**2 + 7150*a + 53500/3.
2*(a + 5)**2*(a + 1070)/3
Factor c**2/4 + 1503337*c/2 + 2260022135569/4.
(c + 1503337)**2/4
Factor -g**3 + 167*g**2 + 12826*g - 12992.
-(g - 224)*(g - 1)*(g + 58)
Factor -2*l**2/7 + 186552*l/7 - 559638/7.
-2*(l - 93273)*(l - 3)/7
Find n such that 4*n**5 - 88*n**4 + 236*n**3 - 152*n**2 = 0.
0, 1, 2, 19
Determine l so that 4*l**3/3 + 816*l**2 + 267692*l/3 - 90048 = 0.
-469, -144, 1
What is r in r**4 - 79151*r**3 + 158298*r**2 = 0?
0, 2, 79149
Factor 4*a**2/11 - 29474*a/11 + 14736/11.
2*(a - 7368)*(2*a - 1)/11
Factor t**3/3 - 5810*t**2/3 - 34888*t/3 - 46528/3.
(t - 5816)*(t + 2)*(t + 4)/3
Find u such that -u**2/3 + 1742*u = 0.
0, 5226
Solve -5*h**4 - 195*h**3 - 215*h**2 + 5595*h - 5180 = 0.
-37, -7, 1, 4
Solve -2*k**3/9 - 6392*k**2/9 + 38438*k/9 + 44828/9 = 0 for k.
-3202, -1, 7
Determine m, given that -4*m**5 + 1544*m**3 + 12672*m**2 + 11132*m = 0.
-11, -1, 0, 23
Factor 3*r**4/4 - 3*r**3 - 9*r**2/4 + 15*r/2 + 6.
3*(r - 4)*(r - 2)*(r + 1)**2/4
Find t, given that 5*t**5 - 980*t**4 + 64290*t**3 - 1424800*t**2 + 612625*t + 16477500 = 0.
-3, 4, 65
Suppose -2*g**4/21 + 2*g**3/7 + 986*g**2/21 + 498*g + 1512 = 0. What is g?
-9, -7, 28
Factor 98*o**4 - 25760*o**3 + 22032*o**2 - 44032*o/7 + 4192/7.
2*(o - 262)*(7*o - 2)**3/7
Find a, given that -4*a**5/3 + 1680*a**4 - 439344*a**3 - 58839552*a**2 = 0.
-96, 0, 678
Factor r**2/8 - 13302*r.
r*(r - 106416)/8
Suppose -4*a**4/3 + 3508*a**3/3 - 177540*a**2 - 36917100*a = 0. What is a?
-113, 0, 495
Determine v so that -79507*v**5 - 97645690*v**4 - 208575112*v**3 - 27836144*v**2 - 1275056*v - 19616 = 0.
-1226, -2, -2/43
Let 3*u**5/2 + 165*u**4/2 - 1095*u**3/2 + 255*u**2/2 + 2220*u + 1464 = 0. What is u?
-61, -1, 4
Solve -1392400*w**4/3 + 4181920*w**3/3 - 14164*w**2/3 + 4*w = 0.
0, 1/590, 3
Factor 2*n**3/15 + 15002*n**2/15 + 1876000*n + 1875000.
2*(n + 1)*(n + 3750)**2/15
Solve 3*c**4/4 + 789*c**3/2 + 1944*c**2 - 10149*c/2 + 10941/4 = 0.
-521, -7, 1
Factor -2*g**2/23 - 30872*g/23.
-2*g*(g + 15436)/23
Determine b, given that 2*b**2/7 + 1076*b/7 + 5330/7 = 0.
-533, -5
Solve 4*l**2/5 + 548*l/5 - 7152/5 = 0 for l.
-149, 12
Determine g, given that g**5 + 7733*g**4 - 46422*g**3 + 92860*g**2 - 61912*g = 0.
-7739, 0, 2
Find a such that -81*a**3/4 - 5337*a**2/2 - 4696*a - 2080 = 0.
-130, -8/9
Find n such that n**4/3 + 325*n**3/3 + 17789*n**2/3 + 285107*n/3 + 167214 = 0.
-261, -31, -2
What is o in -2*o**4 - 164*o**3 - 1610*o**2 - 3408*o = 0?
-71, -8, -3, 0
Factor -a**3/7 + 881*a**2/7 - 201312*a/7 + 3172608/7.
-(a - 432)**2*(a - 17)/7
What is b in -2*b**4/15 - 1108*b**3/15 - 153458*b**2/15 = 0?
-277, 0
Find j such that 3*j**2 - 812136*j = 0.
0, 270712
Factor -l**4/8 - 141*l**3/4 + 9*l**2/8 + 1269*l/4.
-l*(l - 3)*(l + 3)*(l + 282)/8
|
{
"pile_set_name": "DM Mathematics"
}
|
ded by 216349.
5
Calculate the remainder when 687697 is divided by 529.
526
What is the remainder when 4604347 is divided by 2302173?
1
Calculate the remainder when 707073 is divided by 168.
129
Calculate the remainder when 117159204 is divided by 16.
4
Calculate the remainder when 285637 is divided by 1195.
32
What is the remainder when 19360 is divided by 1746?
154
Calculate the remainder when 56553 is divided by 4678.
417
What is the remainder when 25055356 is divided by 57204?
4
What is the remainder when 1119550321 is divided by 53?
51
Calculate the remainder when 696876 is divided by 222.
18
What is the remainder when 2001275 is divided by 1041?
473
What is the remainder when 78248 is divided by 19410?
608
Calculate the remainder when 93083 is divided by 585.
68
What is the remainder when 972668 is divided by 81009?
560
What is the remainder when 834488 is divided by 834418?
70
Calculate the remainder when 32329948 is divided by 58.
52
Calculate the remainder when 104223123 is divided by 1619.
1617
What is the remainder when 4334625 is divided by 2167298?
29
Calculate the remainder when 21288 is divided by 6837.
777
Calculate the remainder when 31667028 is divided by 10555673.
9
Calculate the remainder when 71693 is divided by 17830.
373
Calculate the remainder when 392504218 is divided by 90.
88
Calculate the remainder when 12830 is divided by 633.
170
Calculate the remainder when 1237360 is divided by 65039.
1619
Calculate the remainder when 134417 is divided by 1494.
1451
What is the remainder when 2106226 is divided by 27352?
122
What is the remainder when 1345611 is divided by 112134?
3
Calculate the remainder when 18367005 is divided by 528.
525
Calculate the remainder when 15550653 is divided by 444.
441
Calculate the remainder when 175411044 is divided by 139.
133
Calculate the remainder when 40260 is divided by 1434.
108
What is the remainder when 354354168 is divided by 50622023?
7
Calculate the remainder when 2166313 is divided by 189.
184
Calculate the remainder when 21912 is divided by 21904.
8
What is the remainder when 26961 is divided by 3251?
953
Calculate the remainder when 6788268 is divided by 1771.
25
Calculate the remainder when 103018849 is divided by 83.
79
What is the remainder when 32459531 is divided by 24369?
23
Calculate the remainder when 116290963 is divided by 2009.
2007
Calculate the remainder when 1290168 is divided by 216.
0
What is the remainder when 228853837 is divided by 80?
77
What is the remainder when 7503165 is divided by 388?
21
What is the remainder when 294773174 is divided by 115?
114
Calculate the remainder when 33821 is divided by 413.
368
What is the remainder when 916682 is divided by 48244?
46
Calculate the remainder when 309140802 is divided by 953.
944
Calculate the remainder when 143809 is divided by 8950.
609
What is the remainder when 9441594 is divided by 2360398?
2
Calculate the remainder when 21084953 is divided by 96.
89
Calculate the remainder when 212980 is divided by 26606.
132
Calculate the remainder when 3389550 is divided by 472.
118
What is the remainder when 298991 is divided by 1175?
541
Calculate the remainder when 3663539 is divided by 203.
201
What is the remainder when 795760 is divided by 317?
90
Calculate the remainder when 154509 is divided by 15089.
3619
What is the remainder when 103981 is divided by 17?
9
Calculate the remainder when 1503902 is divided by 24.
14
What is the remainder when 5323131 is divided by 2661563?
5
Calculate the remainder when 5542942 is divided by 1164.
1138
Calculate the remainder when 10161 is divided by 974.
421
What is the remainder when 9823 is divided by 9554?
269
What is the remainder when 25836 is divided by 1365?
1266
Calculate the remainder when 5632665 is divided by 148219.
343
What is the remainder when 5034138 is divided by 1626?
42
Calculate the remainder when 18952102 is divided by 510.
502
What is the remainder when 3682260 is divided by 81?
0
What is the remainder when 54444734 is divided by 938702?
18
What is the remainder when 1158873 is divided by 11040?
10713
Calculate the remainder when 79566 is divided by 11356.
74
Calculate the remainder when 523853 is divided by 6951.
2528
Calculate the remainder when 105220 is divided by 8088.
76
What is the remainder when 4722810 is divided by 938?
918
Calculate the remainder when 870964 is divided by 434346.
2272
Calculate the remainder when 49180 is divided by 13244.
9448
What is the remainder when 1184827 is divided by 543?
1
Calculate the remainder when 1567473 is divided by 265.
263
What is the remainder when 5778448 is divided by 39?
13
What is the remainder when 415106 is divided by 605?
76
What is the remainder when 564013 is divided by 112800?
13
Calculate the remainder when 2178314 is divided by 57.
2
What is the remainder when 594433 is divided by 1581?
1558
What is the remainder when 6640748 is divided by 38?
20
Calculate the remainder when 4453471 is divided by 447.
10
What is the remainder when 750371 is divided by 374727?
917
What is the remainder when 297066 is divided by 149?
109
What is the remainder when 113507 is divided by 113158?
349
What is the remainder when 8384561 is divided by 1579?
71
What is the remainder when 10743488 is divided by 10743465?
23
What is the remainder when 207494 is divided by 5183?
174
Calculate the remainder when 132045 is divided by 692.
565
What is the remainder when 256025 is divided by 84047?
3884
What is the remainder when 42115074 is divided by 28?
22
What is the remainder when 48687 is divided by 1417?
509
Calculate the remainder when 45101 is divided by 1192.
997
Calculate the remainder when 4458278 is divided by 24.
14
Calculate the remainder when 58002 is divided by 19283.
153
What is the remainder when 233864 is divided by 589?
31
What is the remainder when 40537 is divided by 8865?
5077
What is the remainder when 739545 is divided by 30793?
513
Calculate the remainder when 372996 is divided by 93209.
160
What is the remainder when 239991 is divided by 13254?
1419
What is the remainder when 598210 is divided by 197548?
5566
Calculate the remainder when 247384 is divided by 123.
31
Calculate the remainder when 30733 is divided by 4499.
3739
Calculate the remainder when 1801671 is divided by 81893.
25
Calculate the remainder when 1467635 is divided by 548.
91
What is the remainder when 19479286 is divided by 342?
334
Calculate the remainder when 7334759 is divided by 2444895.
74
What is the remainder when 91065 is divided by 12989?
142
What is the remainder when 6485043 is divided by 650?
643
What is the remainder when 8113181 is divided by 1212?
53
What is the remainder when 1647030 is divided by 823507?
16
What is the remainder when 7492 is divided by 7048?
444
What is the remainder when 10232578 is divided by 89?
70
Calculate the remainder when 47535 is divided by 9109.
1990
What is the remainder when 122464 is divided by 180?
64
What is the remainder when 1001353 is divided by 123?
10
What is the remainder when 99647 is divided by 1511?
1432
What is the remainder when 163266 is divided by 495?
411
Calculate the remainder when 432456 is divided by 5924.
4
Calculate the remainder when 31323953 is divided by 31323934.
19
What is the remainder when 2211531 is divided by 315832?
707
What is the remainder when 3525677 is divided by 366?
365
Calculate the remainder when 11160284 is divided by 797162.
16
Calculate the remainder when 9230494 is divided by 28845.
94
|
{
"pile_set_name": "DM Mathematics"
}
|
qg. What is prob of sequence fq?
1/18
Calculate prob of sequence zasz when four letters picked without replacement from zeazxszxaszssaxzez.
1/204
What is prob of sequence vhyh when four letters picked without replacement from jyuhhyuyvjhuhhj?
1/546
Calculate prob of sequence mpmp when four letters picked without replacement from {d: 4, m: 2, p: 2, c: 1, l: 4, n: 1}.
1/6006
Three letters picked without replacement from {o: 4, r: 10, q: 2, w: 1, u: 2}. Give prob of sequence wuq.
2/2907
What is prob of sequence mpo when three letters picked without replacement from {p: 1, w: 2, m: 1, o: 4}?
1/84
What is prob of sequence vm when two letters picked without replacement from vmmm?
1/4
What is prob of sequence nhny when four letters picked without replacement from {n: 3, h: 1, d: 1, y: 3, l: 2}?
1/280
Calculate prob of sequence oyfd when four letters picked without replacement from {y: 3, g: 4, d: 2, o: 2, f: 7}.
7/6120
Calculate prob of sequence nppz when four letters picked without replacement from pzzzppppn.
5/252
Three letters picked without replacement from vvvzzzvzzvzzzvzv. What is prob of sequence vzv?
9/80
What is prob of sequence mttt when four letters picked without replacement from {m: 3, t: 15}?
91/816
What is prob of sequence cc when two letters picked without replacement from mmhawchhphcmpmwamh?
1/153
Three letters picked without replacement from {i: 2, d: 3, o: 7}. Give prob of sequence dio.
7/220
Four letters picked without replacement from {v: 1, u: 7, y: 12}. Give prob of sequence yuvu.
7/1615
Calculate prob of sequence ohhh when four letters picked without replacement from {h: 5, o: 5}.
5/84
Calculate prob of sequence wwwz when four letters picked without replacement from zzlztzxwtltztwtzw.
3/4760
Four letters picked without replacement from {m: 4, x: 4, j: 1, f: 4, c: 3}. What is prob of sequence jffc?
3/3640
Two letters picked without replacement from qqx. Give prob of sequence xq.
1/3
Three letters picked without replacement from qfxzqqn. What is prob of sequence qfz?
1/70
Calculate prob of sequence gp when two letters picked without replacement from wprgweep.
1/28
Two letters picked without replacement from mcwwcwwmmwmww. Give prob of sequence ww.
7/26
Three letters picked without replacement from idyyppiiiyppypisgysi. Give prob of sequence ipp.
1/57
Two letters picked without replacement from {b: 7, t: 1}. What is prob of sequence bb?
3/4
Two letters picked without replacement from ooqcqaojcjoc. Give prob of sequence qq.
1/66
Calculate prob of sequence llp when three letters picked without replacement from pppllpllppp.
14/165
Four letters picked without replacement from {c: 1, k: 4, o: 3, m: 2, n: 6, y: 4}. Give prob of sequence mckc.
0
Three letters picked without replacement from {z: 1, g: 2, s: 1, u: 5, n: 8}. What is prob of sequence uuz?
1/204
Two letters picked without replacement from {p: 1, y: 4, b: 1, u: 1, k: 2}. What is prob of sequence kp?
1/36
Calculate prob of sequence txxx when four letters picked without replacement from {t: 4, x: 7}.
7/66
Two letters picked without replacement from {p: 1, r: 1, l: 1, f: 1, j: 1}. Give prob of sequence lp.
1/20
What is prob of sequence kklk when four letters picked without replacement from lklklklllk?
1/35
Two letters picked without replacement from {m: 5, k: 5}. What is prob of sequence km?
5/18
Calculate prob of sequence yjl when three letters picked without replacement from {c: 4, y: 5, l: 1, j: 1, k: 4}.
1/546
Three letters picked without replacement from nllppvpplllnppmppp. What is prob of sequence ppp?
7/68
What is prob of sequence gg when two letters picked without replacement from gzlzzzzzzzlzg?
1/78
What is prob of sequence uuu when three letters picked without replacement from uuuuuuu?
1
What is prob of sequence zt when two letters picked without replacement from {y: 1, j: 1, t: 2, z: 1, d: 3, f: 4}?
1/66
Four letters picked without replacement from iidkiiddddkdidtdt. What is prob of sequence tddd?
1/85
Four letters picked without replacement from stsslsssssissrittls. Give prob of sequence tlii.
1/7752
Calculate prob of sequence hcc when three letters picked without replacement from ccyhyyhhhcccycchcy.
35/612
Calculate prob of sequence ddg when three letters picked without replacement from ddidgigdddgygdddddg.
275/2907
Four letters picked without replacement from {l: 3, w: 4, j: 6, c: 1}. Give prob of sequence wcwj.
3/1001
Calculate prob of sequence icqi when four letters picked without replacement from {c: 4, i: 3, q: 4}.
2/165
Four letters picked without replacement from {j: 8, o: 2, z: 2, g: 1, y: 1}. Give prob of sequence gozo.
1/6006
Four letters picked without replacement from {z: 3, n: 1, c: 5}. What is prob of sequence czzc?
5/126
Two letters picked without replacement from {g: 4, z: 1, d: 1, a: 1, i: 1, p: 8}. Give prob of sequence ia.
1/240
Calculate prob of sequence wtt when three letters picked without replacement from wwwttwwttqt.
10/99
Calculate prob of sequence yxyc when four letters picked without replacement from {c: 2, y: 5, x: 2}.
5/189
Three letters picked without replacement from zfvffvvzzvffvzv. Give prob of sequence zvz.
12/455
What is prob of sequence zh when two letters picked without replacement from {h: 3, g: 6, v: 1, z: 2, b: 1}?
1/26
Calculate prob of sequence up when two letters picked without replacement from {e: 1, l: 5, u: 1, s: 2, p: 1}.
1/90
What is prob of sequence dkk when three letters picked without replacement from kkkdkddkkd?
1/6
What is prob of sequence vj when two letters picked without replacement from {v: 4, j: 14}?
28/153
Calculate prob of sequence gdd when three letters picked without replacement from gdgddgggddgdg.
35/286
Four letters picked without replacement from {q: 7, r: 7, p: 2, w: 1}. Give prob of sequence rprw.
1/680
Two letters picked without replacement from rqrff. What is prob of sequence rq?
1/10
Four letters picked without replacement from jjjjjjjmjmajmjjjjmmj. Give prob of sequence ajmm.
7/2907
Four letters picked without replacement from xxpxxpxxxpxxpxxpxx. What is prob of sequence xxxp?
143/1224
Three letters picked without replacement from nbbbbdoobdoboonnbbo. Give prob of sequence nnb.
8/969
What is prob of sequence ht when two letters picked without replacement from {g: 4, h: 2, t: 1, p: 3}?
1/45
Two letters picked without replacement from sobyossoboiyoiybiyo. Give prob of sequence iy.
2/57
Calculate prob of sequence dhdc when four letters picked without replacement from cacjchcddaac.
1/1188
Three letters picked without replacement from duudddugmuamxmgudux. What is prob of sequence dud?
20/969
Calculate prob of sequence gdbb when four letters picked without replacement from gdgbddhhgdb.
1/330
Four letters picked
|
{
"pile_set_name": "DM Mathematics"
}
|
(f) be the first derivative of 5*f**2/2 + 4*f + 514. Let t(v) be the first derivative of 3*v**2 + 5*v - 1. Calculate -4*r(y) + 3*t(y).
-2*y - 1
Let a(v) = -11*v**3 - 3*v**2 + 3*v. Let x(f) = 17*f - 122. Let u be x(7). Let p(z) = 10*z**3 + 2*z**2 - 2*z. Determine u*p(l) - 2*a(l).
-8*l**3
Suppose -3*n + 0*n = 15. Let d(p) = -p**2 + 5*p - 2. Let v(u) be the first derivative of u**2/2 - u - 141. Determine n*v(r) + d(r).
-r**2 + 3
Let c(j) = -11*j + 9. Let m(w) = 11*w - 10. Determine 7*c(z) + 6*m(z).
-11*z + 3
Let d(v) = -5*v**2 + 10*v - 11. Let p(h) = 3*h**2 - 6*h + 6. Calculate 4*d(c) + 7*p(c).
c**2 - 2*c - 2
Let s(v) = -v**2 - 4*v. Let o(y) = -y**2 - 5*y. Suppose 2*q + 49 - 39 = 0. What is q*s(p) + 4*o(p)?
p**2
Let g(t) = 11*t**2 + 26*t + 6. Let v(s) = 11*s**2 + 23*s + 6. Let a(y) = -6*g(y) + 7*v(y). Let r(x) = -10*x**2 - 4*x - 5. Give 3*a(f) + 4*r(f).
-7*f**2 - f - 2
Let g(f) = -296*f + 4. Let u(v) = 299*v - 3. Calculate 3*g(z) + 4*u(z).
308*z
Let o(v) = 1 + 2*v - 3*v + 4*v. Let p(u) = -u. Suppose 736*s = 3*l + 741*s + 6, 2*s - 41 = 5*l. Give l*p(y) - 2*o(y).
y - 2
Let p(o) = -3*o - 3. Let g(c) = c**3 - 6*c**2 + 4*c + 4. Let i be g(5). Let w be -1 + i/(3/(-15)). Let r(v) = -3*v - 2 - 3*v + 4*v. Calculate w*r(d) - 3*p(d).
d + 1
Let w(p) = -p**3 + 16*p**2 + p. Let y(i) = 3*i**2. Suppose -64 = -4*q + 4*s, -90 = 3*q + s - 118. Give q*y(v) - 2*w(v).
2*v**3 + v**2 - 2*v
Let p(i) = 911*i. Let n(r) = 912*r. Give 3*n(v) - 4*p(v).
-908*v
Let c(h) = -6*h. Let p(n) = n**2 - 37*n + 1. Let f(g) = 6*c(g) - p(g). Let z(r) = -18*r**3 - 18*r**2 + 18*r - 18. Determine -18*f(k) + z(k).
-18*k**3
Let f be (-7)/(-28) - 31/(-4). Let u(r) = -f + 4 + 3. Let g(y) = 4*y**2 - 1 + 2*y**2 + 2*y**2 - 7*y**2. Calculate -g(a) + 3*u(a).
-a**2 - 2
Let r(p) be the first derivative of p**3/3 + p - 430. Suppose 5*a + 0*a = 15. Let y(u) = -u**3 - 7 - 6*u**2 + 2*u**3 - u**2. Determine a*y(n) + 21*r(n).
3*n**3
Let g(s) = 25*s**3 - 82*s**2 + 11*s + 9. Let o(a) = 13*a**3 - 42*a**2 + 6*a + 5. Determine 6*g(q) - 11*o(q).
7*q**3 - 30*q**2 - 1
Let a = -42 + 41. Let h(q) = -q**3 - q. Let y(s) = 5*s**3 - s**2 + s. Determine a*y(i) - 3*h(i).
-2*i**3 + i**2 + 2*i
Let y(f) = f + 4. Let n(s) be the third derivative of 0 + 0*s - 7/2*s**3 + 21*s**2 - 5/24*s**4. Calculate 2*n(q) + 11*y(q).
q + 2
Let q(d) = 4 - 7 - 33017*d + 33012*d. Let a(l) = 9*l + 5. Let p(f) = f**2 - 2*f + 1. Suppose -5*w + 16 = 1. Let z be p(w). Calculate z*a(k) + 7*q(k).
k - 1
Let v(s) = 2*s**2 + 3*s + 5. Let a(l) = -l**2 - l - 2. Suppose -149*t + 155*t = 24. What is t*v(i) + 10*a(i)?
-2*i**2 + 2*i
Let i(b) = 75*b + 81. Let w(q) = -15*q - 16. Let x(o) = -5*i(o) - 24*w(o). Let a be 14/1*(-609)/406. Let z(d) = 3*d + 4. Give a*z(y) - 4*x(y).
-3*y
Let o(f) = -6*f. Let d = 12 - 7. Let v be 36 + -35 - 5*(-1 + 0). Let z(k) = -7*k. Let x(b) = 7*b. Let q(u) = v*x(u) + 7*z(u). What is d*q(j) - 6*o(j)?
j
Let a(g) = 2*g**2 + g + 22. Let q(k) = -2*k**2 - k - 23. What is -5*a(r) - 4*q(r)?
-2*r**2 - r - 18
Let w(t) = 4*t**2 + 439*t + 20. Let j(c) = 5*c**2 + 441*c + 23. Calculate 6*j(n) - 7*w(n).
2*n**2 - 427*n - 2
Let g(b) = -29*b - 17. Let z(v) = -19*v - 11. Give 5*g(c) - 8*z(c).
7*c + 3
Let b(q) = 5*q**2 - 4*q. Suppose -2*u + 5*y = -3, 19 = 4*u - y + 4*y. Let r(t) = t**3 + 11*t**2 - 9*t. What is u*r(h) - 9*b(h)?
4*h**3 - h**2
Let j(s) = 2*s**3 - 4*s**2 - 7*s - 1. Let a(c) be the second derivative of -c**5/20 + c**4/6 + 2*c**3/3 + c**2/2 + 50*c + 1. Calculate 7*a(h) + 4*j(h).
h**3 - 2*h**2 + 3
Let r(z) = -7*z**2 + 4*z - 25. Let y(a) = -9*a**2 + 5*a - 27. Calculate -5*r(u) + 4*y(u).
-u**2 + 17
Let j(k) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
False
Is 2848 a multiple of 89?
True
Is 20262 a multiple of 33?
True
Is 20200 a multiple of 5?
True
Is 90 a factor of 990?
True
Is 15 a factor of 21115?
False
Does 9 divide 1233?
True
Is 4 a factor of 4?
True
Does 42 divide 75699?
False
Is 13 a factor of 1924?
True
Is 107 a factor of 5064?
False
Does 47 divide 14786?
False
Is 16 a factor of 992?
True
Does 5 divide 38506?
False
Is 7076 a multiple of 40?
False
Is 11 a factor of 440?
True
Is 2091 a multiple of 41?
True
Does 7 divide 581?
True
Is 1439 a multiple of 22?
False
Is 3474 a multiple of 16?
False
Is 31 a factor of 8716?
False
Is 1012 a multiple of 32?
False
Is 26 a multiple of 26?
True
Is 8 a factor of 2971?
False
Is 10248 a multiple of 13?
False
Is 3564 a multiple of 81?
True
Is 831 a multiple of 9?
False
Does 78 divide 44558?
False
Is 4 a factor of 668?
True
Does 14 divide 13788?
False
Is 771 a multiple of 40?
False
Does 147 divide 2789?
False
Is 96 a factor of 14976?
True
Does 16 divide 416?
True
Is 23 a factor of 1150?
True
Does 27 divide 56523?
False
Is 2006 a multiple of 34?
True
Does 4 divide 204?
True
Is 1100 a multiple of 22?
True
Is 6 a factor of 283?
False
Does 14 divide 50232?
True
Is 15 a factor of 154?
False
Is 17 a factor of 3621?
True
Is 37702 a multiple of 33?
False
Does 11 divide 241?
False
Is 193 a multiple of 12?
False
Is 125 a multiple of 23?
False
Does 55 divide 5882?
False
Is 16650 a multiple of 30?
True
Is 58 a factor of 3190?
True
Is 12210 a multiple of 10?
True
Is 312 a multiple of 15?
False
Is 1312 a multiple of 34?
False
Does 35 divide 6072?
False
Does 23 divide 21114?
True
Does 20 divide 50080?
True
Is 650 a multiple of 2?
True
Does 11 divide 24871?
True
Does 18 divide 26081?
False
Does 9 divide 13349?
False
Is 2 a factor of 699?
False
Is 30 a factor of 806?
False
Is 17 a factor of 153?
True
Is 3 a factor of 297?
True
Is 17852 a multiple of 29?
False
Is 9 a factor of 56254?
False
Is 872 a multiple of 36?
False
Does 23 divide 9673?
False
Does 16 divide 1184?
True
Does 380 divide 77900?
True
Does 56 divide 3080?
True
Is 271 a factor of 33789?
False
Is 2765 a multiple of 35?
True
Does 15 divide 3999?
False
Is 2499 a multiple of 25?
False
Does 133 divide 13710?
False
Is 25 a factor of 11325?
True
Is 51408 a multiple of 68?
True
Does 9 divide 117225?
True
Does 33 divide 297?
True
Is 739 a multiple of 23?
False
Is 60368 a multiple of 16?
True
Does 165 divide 40095?
True
Is 4176 a multiple of 9?
True
Is 8 a factor of 235?
False
Is 726 a multiple of 66?
True
Is 34 a factor of 1428?
True
Is 16 a factor of 160?
True
Does 33 divide 1023?
True
Does 209 divide 55735?
False
Does 6 divide 11598?
True
Is 61444 a multiple of 8?
False
Does 5 divide 568?
False
Is 7 a factor of 8610?
True
Does 8 divide 2560?
True
Does 43 divide 3479?
False
Is 1579 a multiple of 42?
False
Is 1426 a multiple of 45?
False
Is 7223 a multiple of 31?
True
Is 1550 a multiple of 62?
True
Is 9 a factor of 1134?
True
Is 3573 a multiple of 62?
False
Is 414 a multiple of 18?
True
Does 28 divide 727?
False
Does 11 divide 83?
False
Is 7536 a multiple of 48?
True
Is 33504 a multiple of 48?
True
Is 14 a factor of 277?
False
Does 21 divide 441?
True
Is 10472 a multiple of 22?
True
Does 102 divide 1866?
False
Is 5 a factor of 3940?
True
Is 36 a factor of 8551?
False
Does 5 divide 30?
True
Is 41175 a multiple of 183?
True
Is 8 a factor of 2160?
True
Does 130 divide 13458?
False
Is 58 a factor of 1450?
True
Does 17 divide 33099?
True
Is 65 a factor of 845?
True
Is 794 a multiple of 14?
False
Is 6 a factor of 103?
False
Does 16 divide 1760?
True
Does 10 divide 20350?
True
Is 10 a factor of 9364?
False
Does 13 divide 1521?
True
Is 159 a multiple of 15?
False
Is 10 a factor of 5284?
False
Does 21 divide 4263?
True
Does 10 divide 4719?
False
Does 13 divide 18434?
True
Does 22 divide 1298?
True
Is 8 a factor of 584?
True
Is 39078 a multiple of 6?
True
Does 24 divide 120?
True
Is 6 a factor of 60?
True
Is 13 a factor of 715?
True
Is 11 a factor of 12774?
False
Does 85 divide 5270?
True
Is 9612 a multiple of 36?
True
Is 13 a factor of 19091?
False
Is 104 a factor of 66133?
False
Is 64 a factor of 4560?
False
Is 12 a factor of 2071?
False
Is 46 a factor of 20654?
True
Does 27 divide 1728?
True
Is 4478 a multiple of 15?
False
Is 15215 a multiple of 85?
True
Is 14072 a multiple of 91?
False
Is 126 a multiple of 7?
True
Is 20568 a multiple of 12?
True
Does 30 divide 5364?
False
Does 21 divide 19437?
False
Does 20 divide 197?
False
Is 3467 even?
False
Is 1514 a multiple of 5?
False
Is 28837 a multiple of 164?
False
Is 9508 a multiple of 128?
False
Does 43 divide 387?
True
Is 348 a multiple of 6?
True
Is 1116 a multiple of 9?
True
Does 147 divide 3528?
True
Is 3 a factor of 485?
False
Does 224 divide 15680?
True
Is 137 a multiple of 11?
False
Is 59 a factor of 11470?
False
Does 12 divide 259?
False
Does 2 divide 1388?
True
Is 15252 a multiple of 41?
True
Is 4 a factor of 624?
True
Does 78 divide 2340?
True
Is 11 a factor of 878?
False
Does 22 divide 2926?
True
Is 2033 a multiple of 19?
True
Is 9 a factor of 181?
False
Is 83 a factor of 4565?
True
Does 11 divide 1445?
False
Is 1020 a multiple of 68?
True
Does 37 divide 17945?
True
Is 123 a multiple of 3?
True
Does 32 divide 64?
True
Is 2 a factor of 1511?
False
Does 3 divide 489?
True
Does 21 divide 19566?
False
Is 11426 a multiple of 29?
True
Is 11206 a multiple of 39?
False
Does 38 divide 5906?
False
Does 50 divide 2100?
True
Is 3941 a multiple of 7?
True
Is 25 a factor of 579?
False
Is 74 a factor of 222?
True
Is 5 a factor of 188?
False
Is 319 a multiple of 12?
False
Does 8 divide 913?
False
Is 26776 a multiple of 35?
False
Does 8 divide 2521?
False
Is 8 a factor of 30376?
True
Does 8 divide 136?
True
Does 80 divide 3440?
True
Is 8 a factor of 6114?
False
Is 761 a multiple of 7?
False
Is 210 a multiple of 15?
True
Is 74 a factor of 8658?
True
Is 44 a factor of 792?
True
Does 7 divide 20845?
False
Does
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the least common multiple of 165536 and 6?
496608
What is the common denominator of -101/48960 and -29/1260?
342720
What is the least common multiple of 30771 and 106515?
1384695
Calculate the smallest common multiple of 298 and 946.
140954
What is the lowest common multiple of 5118 and 36?
30708
What is the smallest common multiple of 140080 and 577830?
4622640
Calculate the common denominator of -11/52124 and -41/4.
52124
What is the least common multiple of 728 and 19656?
19656
What is the lowest common multiple of 3403630 and 64393?
23825410
Calculate the lowest common multiple of 2556 and 1827.
518868
Calculate the least common multiple of 47492 and 71238.
142476
What is the smallest common multiple of 20 and 16640?
16640
Find the common denominator of 27/107848 and -37/3172.
107848
Calculate the common denominator of -74/2439 and -61/91.
221949
Find the common denominator of -13/4760 and -73/8.
4760
Calculate the smallest common multiple of 17001 and 137897.
1241073
Calculate the common denominator of -173/6780 and 32/835.
1132260
Find the common denominator of 107/1030 and -10/1339.
13390
Find the common denominator of -95/156 and 73/27950.
167700
What is the lowest common multiple of 7535 and 375?
565125
What is the least common multiple of 7216 and 1804?
7216
Calculate the smallest common multiple of 113206 and 2140.
1132060
Find the common denominator of -13/1130 and 25/8.
4520
What is the common denominator of 23/20448 and 55/72?
20448
What is the common denominator of 73/4650 and 149/6510?
32550
Calculate the least common multiple of 15129 and 243.
408483
Calculate the least common multiple of 34075 and 13475.
18366425
What is the common denominator of -143/543384 and 85/4?
543384
Calculate the least common multiple of 2 and 1076094.
1076094
Calculate the smallest common multiple of 13451 and 4.
53804
Calculate the common denominator of -57/2380 and -33/970.
230860
Find the common denominator of 31/1056 and 83/2332.
55968
What is the common denominator of -91/170 and -103/75820?
75820
What is the common denominator of 87/31328 and -125/18?
281952
What is the smallest common multiple of 48 and 1155032?
6930192
Calculate the least common multiple of 16560 and 28.
115920
Find the common denominator of -5/432608 and -51/44.
432608
Find the common denominator of -127/48 and -91/294368.
883104
Calculate the lowest common multiple of 33 and 66165.
66165
Calculate the lowest common multiple of 22 and 5945990.
65405890
Calculate the lowest common multiple of 193800 and 516800.
1550400
What is the least common multiple of 8 and 48972?
97944
What is the least common multiple of 832 and 368?
19136
Calculate the lowest common multiple of 9872 and 1360.
839120
Find the common denominator of -47/4694 and 21/32.
75104
What is the common denominator of 49/19 and 31/417905?
417905
What is the lowest common multiple of 273880 and 4100?
1369400
Calculate the common denominator of -131/157320 and -131/162.
1415880
Calculate the common denominator of -25/3472 and 87/224.
6944
Calculate the smallest common multiple of 451440 and 34200.
2257200
What is the common denominator of 37/60 and 11/1471200?
1471200
What is the smallest common multiple of 136043 and 11?
1496473
Calculate the lowest common multiple of 569350 and 284675.
569350
Calculate the least common multiple of 93884 and 26824.
187768
Calculate the common denominator of 47/15 and -91/1181930.
3545790
What is the common denominator of 37/17110 and 7/390?
667290
Calculate the common denominator of -119/8370 and -7/80.
66960
Calculate the common denominator of -86/2865 and 113/10.
5730
What is the common denominator of 42/2365 and -77/20?
9460
Calculate the lowest common multiple of 589125 and 10.
1178250
What is the common denominator of -69/16 and 51/25345?
405520
What is the common denominator of 53/2114 and 45/4?
4228
What is the common denominator of 11/421275 and 77/30825?
1263825
Find the common denominator of 28/1065 and -38/105.
7455
What is the lowest common multiple of 4970 and 180?
89460
Find the common denominator of 139/6 and -1/2380554.
2380554
What is the smallest common multiple of 396 and 81?
3564
Calculate the least common multiple of 35740 and 35740.
35740
Calculate the least common multiple of 295011 and 196674.
590022
What is the smallest common multiple of 402 and 96?
6432
What is the common denominator of -63/4765 and -23/4712?
22452680
Calculate the least common multiple of 23440 and 3516.
70320
Find the common denominator of -64/3261 and -47/6522.
6522
Calculate the lowest common multiple of 42 and 8337.
16674
What is the smallest common multiple of 20790 and 1050?
103950
Calculate the smallest common multiple of 65 and 1755.
1755
What is the smallest common multiple of 107 and 532?
56924
Calculate the smallest common multiple of 433714 and 87915.
6505710
Find the common denominator of -125/1494 and 65/291.
144918
Calculate the least common multiple of 4015 and 28910.
23214730
What is the smallest common multiple of 121094 and 1146?
363282
Calculate the common denominator of -83/38522 and 85/8.
154088
What is the smallest common multiple of 54945 and 1440?
1758240
Calculate the lowest common multiple of 31460 and 10.
31460
What is the common denominator of -89/15246 and -169/19404?
213444
Calculate the common denominator of -64/1617 and 52/59367.
415569
What is the least common multiple of 1625 and 1492725?
7463625
Calculate the common denominator of -97/1134 and -107/27216.
27216
Calculate the smallest common multiple of 84600 and 282.
84600
What is the smallest common multiple of 4 and 800092?
800092
What is the common denominator of -67/101392 and -43/14?
709744
Calculate the common denominator of -29/2 and -12/70327.
140654
What is the common denominator of -7/18526 and -49/1062?
166734
What is the common denominator of 45/448 and -107/7154?
228928
What is the common denominator of 109/39032 and -119/18?
351288
What is the common denominator of -43/168726 and 15/854?
1181082
Calculate the common denominator of 59/51891 and 16/86485.
259455
What is the common denominator of 117/2338 and -99/140?
23380
Calculate the smallest common multiple of 912 and 81.
24624
Calculate the smallest common multiple of 19552 and 24.
58656
Calculate the lowest common multiple of 28 and 10560.
73920
What is the common denominator of -5/2 and -8/76143?
152286
What is the common denominator of -125/4866 and 61/30?
24330
What is the common denominator of 55/1008 and 19/154728?
309456
What is the lowest common multiple of 132 and 3108?
34188
Calculate the least common multiple of 4070 and 1529.
565730
Find the common denominator of -41/3680 and 107/96.
11040
Calculate the least common multiple of 249623 and 90772.
998492
What is the smallest common multiple of 783 and 290?
7830
Calculate the lowest common multiple of 224 and 1092.
8736
What is the smallest common multiple of 1348560 and 337140
|
{
"pile_set_name": "DM Mathematics"
}
|
g(y) = y - 5. Let u(s) = s - 4. Let f(w) = -3*g(w) + 4*u(w). What is f(c)?
4
Suppose 4*y + 24 = 4*t, 5*t - 6 = 2*t - 3*y. Let k = 8 + -6. Let w(p) = k*p + t - 3*p - p. Determine w(5).
-6
Let t(j) = -j**2 + 5*j - 1. Let r be 16/2*(-5)/(-10). Give t(r).
3
Suppose -2*q = -4*q. Let s(n) = n**2 + q*n**2 - 1 + 0. Let x = -43 + 41. Calculate s(x).
3
Let q = -4 + 9. Suppose -3 = -4*a - q*w + 11, 14 = a - 4*w. Let m(j) = j**2 - 5*j - 4. Calculate m(a).
2
Let c(n) = -n**3 - 5*n**2 - 2*n - 3. Suppose -4*k + 8 = -2*k. Let j = -4 + k. Suppose j = -2*v + 4*v + 8. What is c(v)?
-11
Let m(k) = -15*k**3 + 8*k**2 + 2*k - 17. Let c(g) = -7*g**3 + 4*g**2 + g - 8. Let x(q) = 13*c(q) - 6*m(q). Suppose -11*a = -10*a - 4. Calculate x(a).
2
Let h = 19 - 19. Let j(s) = s**3 - s + 8. Determine j(h).
8
Let x(d) = -d**2 + d - 3 + 0 + 0*d. Let l = -36 + 18. Let b = -18 - l. Give x(b).
-3
Let s(b) = -b**2 + 5*b + 4. Let u(o) = 5*o + 6*o**2 + 3 - 2*o**2 + 1. Let q be u(-3). Suppose 0 = -0*f - 5*f + q. Give s(f).
4
Suppose -2*z = 3*z - 5*c - 65, -2*z + 26 = 2*c. Let l(p) = z*p - 10*p - 4*p. Determine l(-5).
5
Let s(k) be the second derivative of k**6/720 + k**5/20 + k**4/6 - k. Let d(v) be the third derivative of s(v). Let o be 1 + -1 - 3 - 1. Give d(o).
2
Let r(t) = t**3 - 3*t**2 - 5*t + 5. Let g be 15/20*(18 - -2). Let y(o) = -o + 19. Let a be y(g). What is r(a)?
1
Let n(z) be the second derivative of -z**3/3 - z**2 + z. Let b(v) = v - 12. Let r be b(6). Let q = r + 8. Give n(q).
-6
Suppose 0 = -4*m + q + 12, -8 = -0*m - m - q. Suppose -r + 5*n + 1 = 4, 0 = -4*r + m*n - 12. Let k(j) = -4*j - 11*j**2 + 10*j**2 - 1 + 0*j. Calculate k(r).
2
Let v(n) = -n - 7. Let i be -1*(0 - 2*-2). Let s(o) = -o**3 - 3*o**2 + 5*o + 4. Let t be s(i). Calculate v(t).
-7
Let z(v) = -v**3 - v + 4. Suppose -f = 5*t + f - 33, t = -4*f + 21. Suppose 2*a = b + 4*a, 4*b = t*a + 13. Let m be (0/(-1*b))/(-1). Determine z(m).
4
Let b(t) = t**3 - 7*t**2 + 4*t. Suppose -434*q - 24 = -438*q. Give b(q).
-12
Let m(j) be the third derivative of -j**4/6 - j**3/6 + 18*j**2. Determine m(-1).
3
Let a(l) = -l**3 - 3*l**2 + 5*l - 2. Let d be (-3)/(6/(-1))*-2. Let v = d + -3. What is a(v)?
-6
Let l(f) = 2 - 3 - 1 - f + f**2. What is l(0)?
-2
Let i be (-8)/(-1) - (2 - 0). Let b = i + -4. Let u(h) = -3*h**2 + 6*h**2 - 11*h + b - h**3 + 8*h. Give u(2).
0
Let w(h) be the second derivative of h**4/12 - 5*h**2/2 - 5*h. Suppose 5*g - 2*u - 12 = 0, -2*g + 1 = -5*u + 13. Determine w(g).
11
Let c(m) be the first derivative of -m**3/3 + 5*m**2/2 - 5*m + 9. Determine c(6).
-11
Let v(j) = -2*j**2 - 8*j + 8. Let b(d) = d**2 + 8*d - 8. Let x(t) = 3*b(t) + 2*v(t). Calculate x(8).
-8
Let v(n) = n**3 - 5*n**2 + 5*n + 10. Let y(h) = -h**3 + 6*h**2 - 5*h - 10. Let j(t) = 2*v(t) + 3*y(t). Calculate j(7).
4
Let i = 31 + -22. Let q(t) = -11*t**3 + 10*t**2 + 7*t - 13. Let p(g) = -5*g**3 + 5*g**2 + 3*g - 6. Let u(n) = i*p(n) - 4*q(n). Determine u(5).
-7
Let b(v) = 3 - v + 0*v - v - 40*v**2 + 39*v**2. Determine b(2).
-5
Let t(s) = s - 2. Let w = -31 - -43. Suppose a + 0*j + 4 = j, 0 = 4*a - 5*j + 20. Suppose 4*g + 32 - w = a. Determine t(g).
-7
Suppose 0 = 3*b + 3*n + 12, 3*b + 10 = 4*n - 2. Let s(g) = -g**3 - 3*g**2 + 7*g + 5. What is s(b)?
-7
Let l(y) = -2*y + 8. Let c(f) = -f**2 - 8*f - 7. Let z be c(-8). Let r(i) = -4*i + 15. Let h(d) = z*l(d) + 4*r(d). Calculate h(5).
-6
Let p(x) = x**2 + 7*x + 7. Suppose -l = -2*i - 16, 5*i + 4 = l - 3*l. Let o be l*1/(-1) + 2. Let d = o - -1. What is p(d)?
-3
Let h(n) = -n**2 - 5*n + 5. Let v(f) = 53*f**2 - 1. Let g be v(1). Let t be g/10 + (-4)/20. Suppose -t*m - 33 = -3*s, 5*m = -4*s + 4 - 30. Determine h(m).
-1
Let r(h) = 0*h + 2*h - h - 7. Determine r(8).
1
Let s(j) be the first derivative of -2 - 1/2*j**2 + 2*j. Calculate s(0).
2
Let z(y) be the first derivative of y**2/2 + 2*y - 4. Determine z(-2).
0
Let x(z) = z - 4. Let i be x(
|
{
"pile_set_name": "DM Mathematics"
}
|
- 8*k = -18. Suppose -5*n + 0 = -2*p - 491, -k*n + 294 = -p. What is the tens digit of n?
9
Let k(v) = 8*v**2 + 0*v**3 - v - v**3 - 5*v**2. Let r be k(2). Suppose -r*x = -6*x + 44. What is the units digit of x?
1
Suppose -11*u + 8*u + 5*y + 5519 = 0, 2*u - 3701 = -y. What is the thousands digit of u?
1
Suppose 5*j = -5*j + 940. Suppose 5*y - 616 = j. What is the units digit of y?
2
Let h = 180 + -87. Let d = 28 + h. Suppose 11 - d = -5*o. What is the units digit of o?
2
Let c = 669 + -616. What is the units digit of c?
3
Suppose 3*v = -4*n + 1015, 4*n + v + 3*v - 1016 = 0. What is the hundreds digit of n?
2
What is the thousands digit of 103650/36 - 4/216*9?
2
Suppose 12*u - 36 = 9*u. Let m = 14 + -9. Suppose 2*c = -c - m*h + 16, 0 = 2*c + 2*h - u. What is the units digit of c?
7
Let n(t) = 6*t**2 - 9 - 8*t**2 + t + 3*t**2. Let q be n(-4). What is the units digit of (1220/(-30))/((-2)/q)?
1
Suppose -u - 9 = -3. Suppose 0 = -m + 4*b + 13, -5*m + 0*b + 65 = -4*b. Let n = u + m. What is the units digit of n?
7
What is the units digit of 9/(-6)*13296/(-18)?
8
Let b = -1316 + 1635. What is the units digit of b?
9
Let o(h) = -h**3 - 21*h**2 - 21*h - 19. What is the units digit of o(-20)?
1
Let m(u) = -u**2 - 21*u - 18. Let f be m(-20). Suppose 6*v = f*v + 184. What is the tens digit of v?
4
What is the tens digit of ((-1)/(-3))/((-11)/(-33)) - -350?
5
Suppose 7*g + 2*r - 96 = 3*g, 0 = 3*g + 3*r - 72. What is the tens digit of g?
2
Suppose -17966 + 2327 = -3*c. What is the thousands digit of c?
5
Let u(l) = l**2 + 29. Let j be u(0). Let a = 26 - j. What is the tens digit of a - (-16 - (-5 + 3))?
1
Suppose 2*v = -5*t + 100, 0*t - t = -v - 27. Let x be 19/5 - 11/(-55). Suppose -4*f + x*u + 88 = 0, -f + 0*u + t = -4*u. What is the units digit of f?
2
Let z be 30/165 + (-796)/22. What is the units digit of (-9)/(z/8) - -58?
0
Suppose 0 = 5*h - 3*g + 6*g + 107, 4*h + 91 = 3*g. Let s = -10 - h. What is the tens digit of s?
1
Suppose -10*n - 468 = -4*n. Let q = 138 + n. What is the tens digit of q?
6
Let j be 20/30 - (-4)/(-6). Suppose j = y - 19 + 11. What is the units digit of y?
8
Let i(d) = -d**3 - 8*d**2 + 7. Let s be i(-8). Let o(v) = 11 + 22*v - s*v + 4 - 4*v**3 + 3*v**3 + 13*v**2. What is the tens digit of o(14)?
2
Let l(s) = -s**3 + 6*s**2 + 9*s + 13. Let j be l(-6). Suppose -3*r - 151 = -j. What is the tens digit of r?
8
Suppose -2*t + 8 = 0, -2*f - 5*t = -2034 - 836. What is the thousands digit of f?
1
Suppose 6*u - 9*u - 84 = 0. Let n = u + 93. What is the units digit of n?
5
Suppose -195 = -6*v + v. Suppose -v + 17 = p. What is the units digit of 4/p - 57/(-11)?
5
Let r = 74 - -25. What is the units digit of r?
9
Suppose -4*r - 4 = -8. Let w = r + -1. Suppose 4 = -4*d + 5*o + 39, 5*d + 4*o - 13 = w. What is the units digit of d?
5
Suppose -4*u + 3*w + 1250 = -96, 5*u + 3*w = 1669. Let s be (-15)/(-2)*(-4)/(-5). Suppose -u = -s*n - 53. What is the tens digit of n?
4
Suppose -2*b - 21 = -5*l, l = -2*b - b + 11. Let o(a) = 44*a - 7. What is the tens digit of o(b)?
8
Let s(f) = f**2 + 5*f + 20. Let d = 41 + -52. What is the tens digit of s(d)?
8
Suppose -8*i = -13*i - 1460. Let o = -45 - i. What is the hundreds digit of o?
2
Let q(b) = -b**2 - 6*b - 1. Let g be q(-7). Let f(r) = -9*r + 1 + 5 + 14*r - 8*r. What is the units digit of f(g)?
0
Suppose -4*i - 15 = -7*i. Suppose -i*v = -0*v. Suppose 5*u + 2*f - 94 = 82, v = 3*f + 6. What is the tens digit of u?
3
Suppose -3*u = -6*u + 930. Suppose -4*y = y - u. What is the tens digit of y?
6
Let y(a) = a - 9*a + 7 + 7*a. Let v be y(6). Suppose c = -o + 14, c - 3 = 4*o + v. What is the tens digit of c?
1
Let x = -11 + 4. Let r(b) = b + 5. Let j be r(x). What is the units digit of 35 + (j - (3 + -5))?
5
Suppose -64*v + 141409 + 165023 = 0. What is the units digit of v?
8
Let x be (-1 + 2)/(3/(-6)). Let i be (-4 - -6)/((-1)/x). Suppose i*r - 6*r + 4 = 0. What is the units digit of r?
2
Let q(a) = -2*a**2 + 16*a - 119. Let j be q(6). Let p = -98 - -233. Let o = j + p. What is the tens digit of o?
4
Let x(v) = -v**3 - 4*v - 2. Let y be ((-1)/(-2))/((-1)/(-6)). Let q be (-2 + 3)*(-9)/y. What is the units digit of x(q)?
7
What is the hundreds digit of -3 + -1 + -2 + 558?
5
Let k(x) = -3*x + 20. Suppose 0 = b + b - 4, b - 7 = h. What is the units digit of k(h)?
5
Let n(j) = -23*j**3 - j**2 + 1. Let h be n(-1). Suppose -9*r - h = -689. What is the units digit of r?
4
Let g = 807 + -554. What is the units digit of g?
3
Let x be (4/(-2))/((-4)/(-14)). What is the units digit of (-1660)/(-28) - (6/x)/(-3)?
9
Let z = -1031 - -569. Let q = -311 - z. What is the units digit of q?
1
Let f(d) = 2*d**3
|
{
"pile_set_name": "DM Mathematics"
}
|
t r = 14 - 14. What is the nearest to r in -2/5, k, u?
-2/5
Let n = -58556516/441 + 132781. Let y = 1/147 - n. What is the nearest to y in 1/7, 0, -2/9?
1/7
Suppose 0 = 14*x - 11*x - 81. Let g = -16 + x. Let v = -10 + g. What is the closest to -1 in 2, -2, v?
-2
Let s = -0.0332 + -3.9668. What is the closest to -1/3 in -17, s, 1?
1
Let o be 2*(-2)/(-4)*-1. Suppose 320*w + 33 = 287*w. Which is the nearest to w? (a) 1 (b) o (c) -2
b
Let c = -94/15 - -18/5. Let k = 4.1 - 4. What is the closest to k in -0.5, -2/13, c?
-2/13
Let d = -0.3 - 0.1. Let q = 0.3 + d. Suppose 0 = 5*o - 40, 18*o = k + 13*o + 35. Which is the closest to q? (a) -4 (b) k (c) 4
a
Let f = -202.7 + 204. What is the closest to 6 in 1/7, -5, f?
f
Let i = -112 + 114. Which is the nearest to i? (a) -2/9 (b) 2 (c) 1/6
b
Suppose -21*v + 15 = -6. What is the closest to v in 2, 2/3, 2/9?
2/3
Suppose 26*l - 22*l = 2*i + 14, -2*l + 1 = i. What is the nearest to i in -2/3, 4, -4, 0.2?
-4
Suppose 2*g - 2 - 2 = 0. Let w(q) = -11*q - 16. Let z be w(-8). Let x be 1 - 4 - (6/z + -3). Which is the nearest to 2/7? (a) g (b) -3 (c) x
c
Let n = 19 - 21. Let j = 156 + -1402/9. What is the nearest to n in j, 3/5, 1/14?
1/14
Suppose 216*n - 214*n = -5*q + 6, -n + 2*q - 6 = 0. What is the closest to n in 4, 0.4, 0.09, -0.4?
-0.4
Let c be (-8 - 0) + 108/14. What is the nearest to c in 1, 4, 2/9, 8?
2/9
Let o = -1.2 - -1.4. Let l = 287/3 - 96. Which is the nearest to -1? (a) l (b) o (c) -2
a
Let r = -833 + 835. Let z be (-8)/4 + (-8)/(-6). Which is the closest to 1/2? (a) 3 (b) r (c) z
c
Let g be (0 - -1) + (-3)/4. Let b be (-16)/24 - 92/6. Let a = -15 - b. What is the nearest to g in 3, a, 0.2?
0.2
Let b(q) = 4*q**2 + q + 2. Let o be b(-1). Let d be 4/10 + 56/(-190). Let k = 2/33 - -29/66. What is the nearest to k in d, 1/3, o?
1/3
Let n = 0.13 - -0.49. Let p = n - 0.63. What is the nearest to -1 in 2, 1/6, p?
p
Let f be ((-9)/27)/((-5)/(-5)). What is the closest to -0.1 in -2, f, 7?
f
Let m = 414 - 410. Let j = 0.17 + -0.57. What is the nearest to m in 1/7, j, -4?
1/7
Let l = 12.2 + -13.19. Let g = 1.99 + l. Which is the nearest to g? (a) -4 (b) -0.5 (c) 4/9
c
Suppose -144*i + 168*i = 0. Let y(f) = -f**3 + 6*f**2 + 7*f - 1. Let j be y(7). Which is the nearest to j? (a) -1/6 (b) i (c) -4
a
Let i = 103/3 - 34. What is the closest to i in -1.2, -2/13, -0.5?
-2/13
Let g = 0.06 + -0.06. Let b(i) = 22*i - 265. Let v be b(12). What is the nearest to g in v, 2/5, 2?
2/5
Let v = -17.5 - -3.5. Let r = v + 18. Let l = r - 4.01. Which is the closest to 2/3? (a) l (b) 2/5 (c) -1/4
b
Let d = 1213.3 + -1213. Let q = -1 + 2. What is the closest to q in 6, d, 2?
d
Let a = 3.2 + -0.2. Let l = 28 + 9. Let d = 39 - l. What is the closest to 0 in -4, a, d?
d
Let s = 323.7 - 324. Which is the closest to -1/18? (a) 2 (b) 0.2 (c) -0.1 (d) s
c
Let h = -109/150 - -3/50. Let r = -0.82 + 0.32. What is the closest to h in r, -5, 2/3?
r
Suppose 8*i + 16 = 4*i, -3*b = 3*i - 57. What is the nearest to 0 in b, -2, -0.1, -1?
-0.1
Let f = 0.15 - 7.15. Let s = f + 6.93. Let j = 0.13 - s. Which is the closest to j? (a) -0.4 (b) -1/3 (c) -1
b
Suppose -12*p = -9*p + 27. Let w be (-2 - (-12)/p)/((-4)/6). Which is the closest to -2.4? (a) -2/25 (b) w (c) 0.4
a
Let l be ((-84)/39 - -2)/(-1). Let t = l + -43/26. Let n be (2/16)/(2/(-4)). Which is the closest to 1? (a) t (b) 3/5 (c) n
b
Let i = 12.949 - -0.051. What is the closest to i in -0.5, 0, 0.2?
0.2
Let y = 4.3 - 4. Let j = -1.3 + y. Let f = -0.9 - j. What is the nearest to 2 in f, -1/2, -1?
f
Let f = -1023 + 1019. What is the nearest to 1/52 in 4, -2/5, f?
-2/5
Suppose 226*l - 45 = 217*l. Let m = -0.5 - -0.3. Let h = m - 0. Which is the nearest to -2? (a) l (b) -5 (c) h
c
Let p be 2/6 - 59/177. Let q = 0.58 - 0.08. What is the closest to 0 in q, -2, p?
p
Let z(i) = -i**3 - 4*i**2 - i + 2. Let f be z(-2). Let x be (-3*2/15)/(f - -6). Which is the nearest to -2? (a) -0.4 (b) -0.5 (c) x
b
Let y = -2325.98 - -2326. Which is the nearest to -2/3? (a) y (b) -0.1 (c) -4 (d) 2/35
b
Let o be (-40)/12 - -1*(4 + -1). What is the closest to o in 2/13
|
{
"pile_set_name": "DM Mathematics"
}
|
actor of 868 and 1343912.
124
What is the highest common divisor of 90 and 125453106?
18
Calculate the greatest common factor of 271891 and 113393.
97
Calculate the highest common divisor of 10205540 and 1420.
1420
What is the greatest common divisor of 107981071 and 1507?
1507
Calculate the highest common factor of 42539 and 2524669.
413
What is the greatest common factor of 22831815 and 59424?
1857
What is the highest common factor of 1539 and 23664717?
81
What is the greatest common factor of 12666890 and 10?
10
What is the highest common divisor of 126 and 4264288?
14
Calculate the greatest common divisor of 38461544 and 121.
121
What is the greatest common divisor of 248 and 504578?
2
What is the greatest common divisor of 549 and 450542523?
183
What is the greatest common factor of 34216266 and 61544?
2198
What is the greatest common divisor of 470 and 1189852?
94
Calculate the highest common divisor of 294126977 and 1829.
1829
What is the greatest common divisor of 256 and 9592928?
32
Calculate the highest common divisor of 2318 and 206707650.
2318
Calculate the highest common factor of 30578392 and 312.
104
Calculate the highest common factor of 1445584 and 32368.
112
Calculate the greatest common factor of 295906 and 144742.
494
Calculate the greatest common divisor of 3460 and 8964514.
346
What is the greatest common divisor of 3119484 and 67116?
564
Calculate the greatest common factor of 163759 and 712253.
1973
Calculate the greatest common divisor of 4110315 and 8265.
435
What is the highest common factor of 3339 and 46683?
63
Calculate the greatest common factor of 25200 and 89314848.
1008
Calculate the greatest common factor of 56 and 122397716.
28
What is the greatest common factor of 2843140 and 940?
20
Calculate the highest common divisor of 33085602 and 330.
66
Calculate the greatest common factor of 132064 and 590161.
4127
What is the highest common factor of 61 and 913667?
1
What is the highest common divisor of 3568327 and 441?
49
Calculate the highest common factor of 600 and 70728.
24
What is the highest common factor of 77035868 and 21917?
217
What is the greatest common factor of 1925019 and 450?
9
Calculate the greatest common divisor of 180 and 86952010.
10
What is the highest common divisor of 875 and 8093750?
875
What is the highest common factor of 468390 and 5160?
30
What is the greatest common divisor of 3432988 and 1070?
214
Calculate the greatest common divisor of 168 and 4724520.
24
Calculate the highest common divisor of 21957 and 1959945.
39
What is the greatest common divisor of 236 and 36018438?
118
What is the greatest common divisor of 8722 and 20457451?
4361
What is the highest common factor of 80 and 30591260?
20
Calculate the highest common factor of 2 and 3607022.
2
What is the greatest common factor of 11748969 and 411752?
4679
What is the greatest common factor of 31983 and 16850472?
4569
What is the greatest common factor of 3611172 and 24?
12
Calculate the highest common factor of 28808 and 13000.
104
Calculate the highest common divisor of 8930 and 7547636.
1786
Calculate the greatest common divisor of 714 and 3603582276.
714
What is the greatest common factor of 266194799 and 26?
13
What is the greatest common factor of 1312822 and 163806?
2374
Calculate the greatest common divisor of 34680725 and 175.
25
Calculate the highest common factor of 12 and 18126642.
6
Calculate the greatest common divisor of 984838572 and 6.
6
Calculate the highest common factor of 96891242 and 14.
14
Calculate the highest common divisor of 275241 and 19945.
3989
Calculate the highest common factor of 6044 and 24923945.
1511
Calculate the highest common divisor of 83969820 and 6435.
495
Calculate the greatest common factor of 579139 and 20102.
19
Calculate the greatest common factor of 6 and 29037418.
2
What is the greatest common divisor of 2201 and 34641539?
2201
What is the highest common divisor of 5461 and 7251827?
127
What is the highest common divisor of 605729000 and 8?
8
Calculate the greatest common divisor of 105617164 and 8.
4
Calculate the highest common factor of 5769608 and 2639.
377
What is the highest common factor of 844 and 135722163?
211
Calculate the highest common factor of 354 and 621138.
6
What is the highest common divisor of 27723 and 1517215103?
9241
What is the highest common divisor of 278779 and 13177453?
1871
What is the highest common divisor of 41 and 2578099229?
41
What is the greatest common divisor of 8 and 39295896?
8
Calculate the greatest common factor of 111188 and 390852.
308
What is the highest common divisor of 2299 and 229575841?
2299
Calculate the highest common divisor of 6063704 and 493439.
5087
Calculate the highest common divisor of 2757 and 125724714.
2757
Calculate the greatest common divisor of 22559391 and 8262.
4131
What is the greatest common factor of 3003 and 294844?
11
What is the greatest common divisor of 35507690 and 23844?
3974
Calculate the greatest common factor of 5 and 10396865.
5
What is the greatest common factor of 2684286176 and 416?
416
What is the greatest common factor of 6048 and 143010?
126
What is the greatest common divisor of 500 and 112434500?
500
Calculate the highest common factor of 210 and 12197955.
105
Calculate the greatest common factor of 6288 and 125148.
12
Calculate the highest common factor of 12826 and 197549.
11
What is the highest common divisor of 949662 and 17108?
14
Calculate the greatest common divisor of 28580086 and 17118.
634
What is the greatest common factor of 812039564 and 2989?
2989
Calculate the highest common factor of 40 and 3329720.
40
What is the greatest common divisor of 41 and 315872?
1
What is the highest common factor of 9230346 and 144?
18
Calculate the highest common factor of 14515465 and 8255.
635
Calculate the greatest common divisor of 1503 and 89383410.
1503
What is the highest common factor of 740396 and 16?
4
Calculate the highest common divisor of 40628984 and 1408.
88
Calculate the highest common factor of 444380 and 10938283.
1307
What is the highest common divisor of 85513137 and 3?
3
Calculate the greatest common divisor of 12948 and 557926.
166
Calculate the highest common divisor of 1260 and 340425.
45
What is the highest common divisor of 48572121 and 390?
39
What is the highest common factor of 52171134 and 2505?
501
What is the greatest common divisor of 1083 and 42360918?
57
What is the highest common factor of 31852478 and 8903?
307
Calculate the greatest common divisor of 11644632 and 108.
36
Calculate the greatest common divisor of 118311 and 246453.
339
What is the greatest common factor of 1656897 and 184?
23
What is the greatest common factor of 109426 and 56?
2
Calculate the greatest common factor of 1 and 4447816.
1
What is the greatest common divisor of 6549 and 102129?
177
What is the highest common factor of 62841469 and 136?
17
Calculate the highest common divisor of 750 and 23487250.
250
Calculate the greatest common divisor of 3580665 and 2640.
165
Calculate the highest common divisor of 935622 and 45666.
1062
What is the highest common factor of 1782624 and 36504?
24
What is the greatest common factor of 48 and 156460128?
48
What is the highest common factor of 3153031 and 233145?
157
Calculate the greatest common divisor of 6816393 and 5913.
81
Calculate the highest common divisor of 3411 and 14794644.
1137
Calculate the greatest common divisor of 13836402 and 2163.
309
What is the highest common factor of 112584 and 168?
24
What is the greatest common divisor of 914 and 8113121?
457
Calculate the highest common factor
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let x = 25 + r. Solve -3*b + x + 2 = 0 for b.
5
Let x(b) = b**3 + b**2 - b. Let v(m) = 2*m**3 + 8*m**2 - 5*m - 2. Let j(o) = -v(o) + 3*x(o). Let s be j(5). Suppose -2*d + s = 6. Solve -2*z = d*z for z.
0
Let p = 1131 + -870. Solve 262*f + 5 = p*f for f.
-5
Let g(t) = -t**3 + 5*t**2 + 6*t - 2. Let n be g(6). Let d be -8*(2 + -1)/(n*1). Solve s + 10 = -d*s for s.
-2
Let g = 19 - 19. Let s be ((3 + -3)/(-3))/(-2). Suppose m + s*m - 2 = g. Solve b = -m*b + 9 for b.
3
Suppose -52*j = -23*j - 116. Let a be 1/(-1)*(-2 + 2). Suppose -4*c - 3*g = -19, 2*c = -a*c - j*g + 22. Solve h - 3 - c = 0 for h.
4
Let j be 1/(-2) - (-50)/(-4). Let l(p) = -19*p - 11. Let k(y) = 9*y + 5. Let x(m) = j*k(m) - 6*l(m). Let z be x(-1). Solve z*n - 6 = 10 for n.
4
Let r = -1513 - -1520. Solve -10*v = r*v for v.
0
Let a = -724 + 855. Solve a = 23*c + 16 for c.
5
Suppose d + 0*d - 5 = 0. Suppose 17 = -2*w + d. Let g be w/15*15/(-1). Solve 3*q + 9 = g*q for q.
3
Let v be 1/10 - ((-3102)/(-220) - 17). Let j = 21 - 15. Solve -3 = v*d - j*d for d.
1
Let a = -190 - -192. Solve 13 = -5*k - a for k.
-3
Let r = 15 + -10. Suppose o + 29 = r*p + 2, -2*p = 5*o. Solve 13 - p = 4*z for z.
2
Suppose -2*l - 5*x + 11 = 0, 6*l = 2*l + 3*x + 9. Solve l*v - 4*v + 5 = 0 for v.
5
Suppose 12 = -0*m + 3*m. Let n(u) = -u - 8. Suppose 6*c = 10*c + 80. Let r be n(c). Solve -2*z + m = r for z.
-4
Let l be (44/(-3))/(-1) + (-8)/(-24). Solve l*u = 16*u + 5 for u.
-5
Suppose 0 = -5*z + 9 + 46. Suppose -2*y - 28 + 11 = -k, 0 = -k - y + 8. Let c = z - k. Solve c*v = 4*v + 20 for v.
-5
Suppose -4*x + 31 + 23 = 2*i, 4*x = -5*i + 147. Let t = -23 - -55. Suppose -i*h = -t*h. Solve 3*d = 9 - h for d.
3
Suppose -25 = w + 27. Let k = -50 - w. Solve -n = -k*n - 1 for n.
-1
Suppose -17*w = -5024 - 416. Solve -12 = -w*y + 326*y for y.
-2
Let l be ((-6)/15)/((-49)/245). Let m(c) = c**2 + c. Let p be m(-2). Solve l*f + p*f - 16 = 0 for f.
4
Let v be -2 - (-4 - 0/5). Suppose -4*a = -v*a - 2. Solve -4 - a = -5*x for x.
1
Let r(y) = -y. Let f(x) = -x**3 - 4*x**2 - 2*x - 5. Let l be f(-4). Suppose 2 = -0*n - 2*n + 2*d, -3*n - 15 = l*d. Let m be r(n). Solve -v - 20 = m*v for v.
-5
Suppose 5*u + n - 23 = 0, -2*n + 12 = 4*u - 4. Solve 2*p - 5 - u = 0 for p.
5
Let d be 21/14*((2 - -1) + -1). Solve d*i = 2*i - 2 for i.
-2
Let t = -333 + 338. Solve 0 = -t*b + 9 + 6 for b.
3
Let f = -307 - -308. Solve 7*x - 1 = -f for x.
0
Let u be 14/35*(-195)/(-6). Let b be (6/4)/((-6)/(-16)). Solve 3*f - u = -b for f.
3
Let t(f) = 17*f + 17. Let o(h) = -9*h - 9. Let n(p) = -7*o(p) - 4*t(p). Let z be n(-2). Solve 0 = 3*g - 4*g + z for g.
5
Let b(x) be the third derivative of -x**5/60 + x**4/12 + 5*x**3/6 + 8*x**2 - 1. Let r be b(2). Solve -2 - 3 = r*j for j.
-1
Let i(k) = -k**3 + 5*k**2 - 8*k + 6. Let w be i(2). Solve 0 = w*q + 10 - 14 for q.
2
Suppose 4 = 2*o, 3*b + o - 16 = 5*o. Suppose b - 56 = -4*h. Solve -3*s - s + h = 0 for s.
3
Let n = 57 + -57. Let b = -3 - -15. Solve n = 2*w + w + b for w.
-4
Let w(a) = -a**3 + 6*a**2 + a - 3. Let q be w(6). Let g be 44/(-66) + (11/q - 0). Solve 1 = l - g for l.
4
Let m be -4 - -3*4/12. Let s be (m/1)/(27/(-36)). Solve s = -0*o - 4*o for o.
-1
Let q(v) = v. Let m(d) = d**2 - 2*d - 12. Let t be m(5). Let n be q(t). Let w be (-12)/n*(-3)/12. Solve 0 = -u - 0*u + w for u.
1
Suppose -4*n = 11*n - 75. Solve n*c - 2 = -7 for c.
-1
Suppose -2*f + 10 = 0, -95 = -2*h + h + f. Suppose -4*n - n = -h. Solve 4*m + n = -m for m.
-4
Let p = -3 + 9. Let r = p - 1. Solve -m - r = 4*m for m.
-1
Suppose 246 = -5*r + r - 5*f, -285 = 5*r - 5*f. Let a = r + 64. Solve 10*p - a*p = 0 for p.
0
Suppose 12 = 4*o + 5*n, 3*o + 0*n = 4*n + 9. Suppose x = -5*v - 12, 3*x + o = 3*v + 21. Solve x*q = 2*q - 3 for q.
-3
Let t be 6/4 + (-4)/8. Let l be (3 - (4 - t))/2. Solve -b = -l*b for b.
0
Suppose -24 = -0*k - 6*k. Let t(z) = z + 4. Let a be t(-4). Solve a = -0*j + k*j for j.
0
Let z(u) = 13*u - 22. Let o be z(9). Let c be (0 - 1)/((-19)/o). Solve i = c - 0 for i.
5
Suppose x - 10 = -4*r, -51*x - 19 = -55*x +
|
{
"pile_set_name": "DM Mathematics"
}
|
:07 AM?
354
What is 573 minutes before 3:34 AM?
6:01 PM
How many minutes are there between 8:15 AM and 9:03 AM?
48
What is 41 minutes before 9:26 AM?
8:45 AM
What is 359 minutes before 4:38 AM?
10:39 PM
What is 315 minutes after 1:12 PM?
6:27 PM
How many minutes are there between 4:51 AM and 12:27 PM?
456
How many minutes are there between 11:35 PM and 5:19 AM?
344
What is 528 minutes before 2:18 AM?
5:30 PM
How many minutes are there between 3:43 AM and 9:04 AM?
321
How many minutes are there between 2:20 PM and 2:29 PM?
9
What is 184 minutes after 11:35 AM?
2:39 PM
How many minutes are there between 9:12 AM and 9:31 AM?
19
What is 589 minutes before 6:32 AM?
8:43 PM
What is 120 minutes after 9:57 AM?
11:57 AM
What is 56 minutes after 11:12 AM?
12:08 PM
How many minutes are there between 4:49 PM and 5:28 PM?
39
How many minutes are there between 4:23 PM and 1:32 AM?
549
What is 704 minutes before 7:33 PM?
7:49 AM
How many minutes are there between 7:27 PM and 8:43 PM?
76
How many minutes are there between 1:22 AM and 8:30 AM?
428
How many minutes are there between 6:47 PM and 6:49 PM?
2
How many minutes are there between 7:55 PM and 11:17 PM?
202
How many minutes are there between 2:42 AM and 8:14 AM?
332
What is 458 minutes before 6:45 AM?
11:07 PM
What is 546 minutes before 5:12 AM?
8:06 PM
What is 481 minutes before 2:07 PM?
6:06 AM
What is 52 minutes before 8:57 PM?
8:05 PM
How many minutes are there between 2:47 PM and 10:59 PM?
492
What is 292 minutes before 7:37 PM?
2:45 PM
What is 520 minutes before 8:21 AM?
11:41 PM
What is 310 minutes before 6:38 PM?
1:28 PM
How many minutes are there between 2:42 AM and 7:38 AM?
296
What is 25 minutes before 3:23 PM?
2:58 PM
How many minutes are there between 1:43 AM and 7:57 AM?
374
What is 337 minutes before 4:33 PM?
10:56 AM
What is 643 minutes after 5:31 AM?
4:14 PM
What is 681 minutes after 9:14 AM?
8:35 PM
What is 690 minutes before 6:14 AM?
6:44 PM
How many minutes are there between 7:36 AM and 4:35 PM?
539
What is 373 minutes after 5:20 PM?
11:33 PM
How many minutes are there between 3:13 AM and 7:13 AM?
240
How many minutes are there between 11:58 PM and 10:53 AM?
655
How many minutes are there between 5:47 PM and 8:16 PM?
149
How many minutes are there between 9:45 PM and 4:24 AM?
399
What is 77 minutes before 2:21 PM?
1:04 PM
What is 67 minutes after 10:24 PM?
11:31 PM
What is 91 minutes before 3:04 AM?
1:33 AM
How many minutes are there between 8:18 AM and 1:27 PM?
309
What is 53 minutes after 1:07 AM?
2:00 AM
What is 203 minutes before 3:56 PM?
12:33 PM
How many minutes are there between 9:45 AM and 8:03 PM?
618
What is 144 minutes before 8:46 AM?
6:22 AM
How many minutes are there between 4:41 PM and 7:03 PM?
142
What is 77 minutes before 10:40 PM?
9:23 PM
How many minutes are there between 7:47 AM and 9:19 AM?
92
How many minutes are there between 10:34 AM and 6:13 PM?
459
What is 223 minutes before 10:10 AM?
6:27 AM
How many minutes are there between 10:17 AM and 11:46 AM?
89
How many minutes are there between 9:55 AM and 3:23 PM?
328
How many minutes are there between 3:26 AM and 10:27 AM?
421
How many minutes are there between 1:28 PM and 6:48 PM?
320
How many minutes are there between 8:24 PM and 6:20 AM?
596
What is 51 minutes after 5:02 AM?
5:53 AM
What is 538 minutes before 11:23 PM?
2:25 PM
How many minutes are there between 3:35 PM and 2:39 AM?
664
What is 167 minutes after 11:10 AM?
1:57 PM
What is 243 minutes before 12:12 AM?
8:09 PM
How many minutes are there between 10:56 AM and 1:35 PM?
159
What is 586 minutes before 1:18 AM?
3:32 PM
What is 231 minutes after 4:15 AM?
8:06 AM
What is 480 minutes after 7:29 PM?
3:29 AM
How many minutes are there between 1:38 AM and 3:25 AM?
107
What is 52 minutes after 2:07 PM?
2:59 PM
How many minutes are there between 8:33 AM and 6:20 PM?
587
What is 243 minutes after 3:04 AM?
7:07 AM
How many minutes are there between 5:18 AM and 4:50 PM?
692
What is 611 minutes before 1:08 PM?
2:57 AM
How many minutes are there between 11:40 AM and 1:31 PM?
111
What is 467 minutes after 10:11 AM?
5:58 PM
How many minutes are there between 3:13 AM and 5:59 AM?
166
What is 53 minutes after 3:56 AM?
4:49 AM
What is 309 minutes before 11:31 AM?
6:22 AM
What is 402 minutes before 7:26 AM?
12:44 AM
What is 558 minutes after 12:32 PM?
9:50 PM
What is 676 minutes before 10:30 AM?
11:14 PM
What is 101 minutes before 6:50 AM?
5:09 AM
What is 292 minutes before 12:08 AM?
7:16 PM
What is 597 minutes before 10:53 PM?
12:56 PM
What is 323 minutes before 2:25 AM?
9:02 PM
What is 611 minutes after 1:34 PM?
11:45 PM
What is 156 minutes after 10:24 PM?
1:00 AM
How many minutes are there between 12:02 PM and 9:08 PM?
546
How many minutes are there between 2:48 PM and 6:45 PM?
237
How many minutes are there between 12:05 PM and 2:29 PM?
144
What is 657 minutes after 8:10 PM?
7:07 AM
How many minutes are there between 11:11 AM and 10:42 PM?
691
What is 355 minutes before 3:44 AM?
9:49 PM
What is 315 minutes before 3:43 AM?
10:28 PM
What is 699 minutes after 9:00 PM?
8:39 AM
How many minutes are there between 7:37 PM and 2:31 AM?
414
How many minutes are there between 8:07 AM and 3:07 PM?
420
How many minutes are there between 11:54 PM and 3:11 AM?
197
What is 181 minutes after 11:08 AM?
2:09 PM
What is 439 minutes before 10:29 AM?
3:10 AM
How many minutes are there between 2:41 AM and 6:41 AM?
240
What is 692 minutes after 9:20 PM?
8:52 AM
What is 663 minutes after 2:37 PM?
1:40 AM
What is 90 minutes after 8:12 PM?
9:42 PM
How many minutes are there between 3:33 PM and 2:43 AM?
670
What is 203 minutes after 1:37 PM?
5:00 PM
What is 323 minutes before 11:56 AM?
6:33 AM
How many minutes are there between 1:42 AM and 12:02 PM?
620
What is 572 minutes before 5:05 PM?
7:33 AM
How many minutes are there between 3:19 PM and 12:25 AM?
546
What is 704 minutes after 1:44 PM?
1:28 AM
What is 586 minutes before 1:31 AM?
3:45 PM
What is 597 minutes after 9:56 PM?
7:53 AM
What is 246 minutes before 12:34
|
{
"pile_set_name": "DM Mathematics"
}
|
9/((-45)/4)). Let m = -4.4 - -0.4. Which is the closest to 0.1? (a) m (b) 5 (c) u
c
Let t = -1.5 + -13.5. Let o = 11 + t. Which is the nearest to -0.1? (a) -0.3 (b) -0.2 (c) o
b
Let f(c) = -c**2 + 4*c + 6. Let y be f(5). Let g = 11 - 10.6. What is the closest to 2 in -1/6, g, y?
y
Let r = 128.2 + -129. What is the closest to 0 in -0.4, r, -0.2?
-0.2
Let q = -3.07 + 0.07. Let o be (-4)/(48/27) + 2. Let g be (-3)/2*8/(-42). Which is the nearest to g? (a) o (b) 4 (c) q
a
Let n = 0.1 - 4.1. Let i = 8 - 2. Let p be ((-1)/6)/(-5 + i). Which is the nearest to 0? (a) p (b) -0.1 (c) n
b
Let x = -9 - -8.2. Let k = x + 0.3. What is the closest to 1 in 0.3, 1, k?
1
Let x = 8 + -5. Let q = -262 + 260. What is the closest to -1 in -3, x, q?
q
Let u = 1 - -4. Which is the nearest to -0.1? (a) 4 (b) 1 (c) u
b
Suppose 0 = 2*v - r + 4, 5*r - 27 + 7 = -4*v. What is the nearest to 2/3 in -5, v, -2/3?
v
Let t be ((-8)/(-12))/(2*(-2)/(-6)). Let o = 0.43 - 0.03. Which is the closest to t? (a) -5 (b) o (c) 2/21
b
Let x = -7.7 + 8. Let s = x + -0.2. Let f = -16 + 18. What is the nearest to s in f, 1/5, -3?
1/5
Let x = -62 - -436/7. Let o = x + -13/21. Which is the nearest to 1? (a) 2/3 (b) 3/7 (c) o
a
Let u = 0.34 - 0.3. Let q = 4.04 - u. Let t = -1/32 - -131/96. What is the closest to -0.1 in t, q, 2/13?
2/13
Let t = -9 + 8. Let o be t*(-3)/(-3 + 2). Let v = 0.2 - 0.3. What is the nearest to v in 1, o, -4/7?
-4/7
Let j(i) = -i + 8. Let m be j(5). Suppose 5*o = m*o - 4. What is the closest to 0 in -0.3, o, -3?
-0.3
Let j = 5.085 + -0.085. Let m be (-4)/18 - (-6391)/6120. Let u = m - 3/136. Which is the nearest to -0.1? (a) 2/7 (b) j (c) u
a
Suppose 3*w - 2 - 5 = -k, -w + 2*k = -14. Which is the closest to 1? (a) 0.12 (b) w (c) -1
a
Let o = -26 + 20. What is the closest to 1/3 in -2/21, 5, o?
-2/21
Let a = 3 + -3.5. Let p = 2 + -3. Let g be (-2 - (-10)/3) + p. What is the nearest to g in -0.2, a, 4?
-0.2
Let t = -5 + 0. Let l(v) = v + 10. Let w be l(-8). What is the nearest to -1/4 in w, 0.3, t?
0.3
Let s = -13.1 + 8.1. Let m = 0.08 - -3.92. Which is the nearest to 0? (a) 1/8 (b) s (c) m
a
Let v = 5 - 4.6. Let p = 0.48 - 0.28. What is the nearest to 0 in p, -2/7, v?
p
Let j = -15 + 15. Let k = -0.16 + -0.24. What is the closest to j in -3, k, -2?
k
Suppose 0*m = 3*m + j + 16, 4*m + 3*j + 28 = 0. Let o be m + -3*4/(-12). Which is the closest to 1/2? (a) -2 (b) o (c) -2/13
c
Let d = 390204/119 + -3279. Let i = 205/1309 + d. Which is the closest to 0.2? (a) 4/7 (b) -0.2 (c) i
c
Let g = -0.08 - 2.42. Let k = g - 0.5. Let z = k + 1. Which is the closest to -1/4? (a) -0.5 (b) z (c) 0.3
a
Let c = 1461/19 + -77. Suppose 0 = -4*a + m + 467, -2*a + 4*a = -2*m + 226. Let x = a - 810/7. What is the closest to x in c, -1, 1/2?
1/2
Let a = -23 - -18. What is the closest to 2/7 in a, 0.3, 2?
0.3
Let r = 1605/8 - 201. Suppose -10 = -4*u - 2. Let m = u - 3. What is the closest to m in r, -0.5, -1?
-1
Let n = 1.5 - 1.1. What is the nearest to 0.2 in -1, n, -2?
n
Let v = 0 + -0.2. Let c = 1.2 - 0.9. What is the closest to 0.1 in -5, c, v?
c
Let r = 2 - 1.9. Let q be 3/(-261)*2*3. Let t = -33/58 - q. Which is the nearest to t? (a) -0.3 (b) 3 (c) r
a
Let c = -95/267 + 2/89. What is the nearest to 0 in -4, -0.2, c?
-0.2
Let t(u) = u**2 + 6*u + 5. Let r be t(-5). Let i = 1.1 + -1. Which is the nearest to 0.3? (a) r (b) 1/3 (c) i
b
Let g be -1*(-85)/(-30) - -3. Which is the closest to 0.1? (a) -5 (b) g (c) 0
b
Let c = -11 + 21. Let d be 0*(3 - c/4). What is the closest to d in 3, -4, 0.3?
0.3
Let r = -1 - -2. Suppose 15 = -c + 5*z, -4*z + 13 = -5*c + r. What is the closest to c in -1, -0.1, -2?
-0.1
Let k be (-1)/2*8/22. Suppose -2*y - 2*n - 8 = -0*n, 0 = 5*n + 15. What is the nearest to -0.1 in 1/3, y, k?
k
Let p(h) = -h**3 + 5*h**2 - 4*h + 2. Let s be p(4). Let c be (s/(-27))/(1/(-3)). What is the closest to c in 0.4, -4/5, 1?
0.4
Let p(n) = -n**2 + n. Let v be p(0). Let i = -19/44 + 2/11. Which is the closest to 2? (a) v (b) 5 (c) i
a
Let h = 5.1 + -0.1. Let o be 1*-2
|
{
"pile_set_name": "DM Mathematics"
}
|
- 220*l**4 + 2*l**3 + 5*l**2*y + 730264*y wrt l?
745320*l**3*y - 5280*l + 12
Differentiate 1105060044*c + 841461990.
1105060044
What is the third derivative of 3370296*p**3 - 4459821*p**2 - 2 wrt p?
20221776
Find the second derivative of -4*t**5 - 2972571*t**4 - 4870847*t.
-80*t**3 - 35670852*t**2
What is the third derivative of -36*f**5 + 507824*f**4 - 13113289*f**2 wrt f?
-2160*f**2 + 12187776*f
What is the third derivative of 13*x**6 - 1125*x**4 + 24*x**3 + 9281271*x**2 wrt x?
1560*x**3 - 27000*x + 144
What is the third derivative of 17513982*m**3*n**3 + 3*m**3*n**2*y + m**3*n + 6169*m**2*y + m*n**2 + 10*n**3*y + 36*n*y - 2 wrt n?
105083892*m**3 + 60*y
What is the first derivative of 411116596*m**3*p + 65034*m**3 - 1654*m**2 + 1 wrt p?
411116596*m**3
What is the second derivative of -2947816*x**2 + 5718202*x?
-5895632
Find the third derivative of 12*b*l**5 + 5*b*l**4 + 4782624*b*l**2 - 33415*l**3 + 6*l**2 wrt l.
720*b*l**2 + 120*b*l - 200490
What is the third derivative of -28462837*n**6 - 27453623*n**2?
-3415540440*n**3
What is the third derivative of 38331857*h**5 - 39851990*h**2 wrt h?
2299911420*h**2
Find the first derivative of 31622131*t**2 - 25840266.
63244262*t
Find the second derivative of -33920*d*y**3 - 9*d*y - 16950*d - 513*y**3 + 8*y wrt y.
-203520*d*y - 3078*y
What is the first derivative of -85*i**2*y - 9057043*i**2 + 6*i*y - 145*y wrt y?
-85*i**2 + 6*i - 145
What is the second derivative of 91*g**3*i**3 - 7*g**3*i - 4232*g**3 - 103387*g*i**4 + 68*i wrt i?
546*g**3*i - 1240644*g*i**2
What is the derivative of -239*d**2*m**2 + 161*d**2 - 937*d - 181684708*m**2 wrt d?
-478*d*m**2 + 322*d - 937
What is the second derivative of 5695422*l**2*q**2 - 4*l**2*q + 2*l**2 - 23*l - 449*q + 3 wrt q?
11390844*l**2
Find the second derivative of 3*b**3*h**2 + 28124*b**3*h - 172*b**2*h - 12883164*h**2 wrt h.
6*b**3 - 25766328
Find the third derivative of 93798*c**4*v - 4*c**4 - 2*c**3*v + c**2*v - 57*c**2 - 5*c + 20 wrt c.
2251152*c*v - 96*c - 12*v
What is the second derivative of -7382340*d**2 - 390*d + 137?
-14764680
Find the second derivative of -4812813*t**4 + 2059*t + 31 wrt t.
-57753756*t**2
What is the third derivative of 9085812*y**3 + 677*y**2 - 56*y + 2?
54514872
Find the second derivative of 8554047*b**4*g**2 - 6*b**2*g**3 - 87*b*g**3 - 14827*g**3 wrt b.
102648564*b**2*g**2 - 12*g**3
What is the third derivative of 2133235*m**5 + 815131*m**2?
127994100*m**2
Find the third derivative of 1714*h**6 + 97*h**5 + 18*h**3 - 61839506*h**2 wrt h.
205680*h**3 + 5820*h**2 + 108
What is the first derivative of -v**4 - 247132*v**2 + 4*v - 44355861?
-4*v**3 - 494264*v + 4
Find the third derivative of 5*s**5 + 674658*s**3 + 2173*s**2 + 3*s - 531.
300*s**2 + 4047948
Find the second derivative of 104319*i**3 + 2*i**2*p**3 - 2*i**2*p + 2*i*p**3 + 58*i*p - 2*p + 70 wrt i.
625914*i + 4*p**3 - 4*p
What is the second derivative of 11*o**3*p**4 - 98629*o**3*p + 2*o*p - 65962*p**4 + 1 wrt p?
132*o**3*p**2 - 791544*p**2
What is the first derivative of 2*a*h*k - 60*a*h + 1211*a + 434*h*k**2 + 5*h + 46*k**2 - 1 wrt k?
2*a*h + 868*h*k + 92*k
Find the second derivative of 28869917*f**2 + 3*f + 1965307.
57739834
What is the second derivative of -638338809*c**5 + 29240120*c wrt c?
-12766776180*c**3
What is the third derivative of -9701698*j**3 - 21319261*j**2 wrt j?
-58210188
What is the first derivative of -16955829*c*o - 4067*c + 7*o + 240 wrt o?
-16955829*c + 7
Find the first derivative of 405264*f*i*v**2 - 19*f*i*v - 6*f*i + 19*f*v**2 + 21*f - 182*v**2 + v + 9 wrt i.
405264*f*v**2 - 19*f*v - 6*f
Find the second derivative of -4046*m**3*u**2 - 1121*m**2*u**3 + 50787*m*u**3 + m*u**2 - m - u**2 wrt m.
-24276*m*u**2 - 2242*u**3
What is the first derivative of -14538123*r**4 - 44058735 wrt r?
-58152492*r**3
Find the third derivative of 80486*k**3*l - 77*k**3 - 3523*k**2*l + 5161*k**2 - 2*l wrt k.
482916*l - 462
Find the first derivative of -4160734*o**2 + 2*o - 76117685.
-8321468*o + 2
What is the third derivative of 2*b**6 - 4691668*b**4 - 3*b**2 - 2213*b - 665?
240*b**3 - 112600032*b
Differentiate -5412*u**3 + u**2 - 113*u + 2525508 wrt u.
-16236*u**2 + 2*u - 113
Find the third derivative of -2*i**5 + 3*i**4 - 27711*i**3 + 273162*i**2.
-120*i**2 + 72*i - 166266
Find the second derivative of -24847792*n**3 - 29946071*n wrt n.
-149086752*n
Differentiate 55*b**3 + 2*b**2 + 1617317
|
{
"pile_set_name": "DM Mathematics"
}
|
rue
Is 22 a factor of 30844?
True
Is 99 a factor of 5798?
False
Does 25 divide 10200?
True
Is 124616 a multiple of 222?
False
Is 4 a factor of 6615?
False
Does 75 divide 1923?
False
Is 63 a factor of 63630?
True
Does 6 divide 1842?
True
Is 12 a factor of 30143?
False
Is 65 a factor of 25545?
True
Does 49 divide 441?
True
Is 18 a factor of 668?
False
Does 7 divide 336?
True
Is 13586 a multiple of 34?
False
Does 3 divide 1488?
True
Is 62 a factor of 9414?
False
Does 7 divide 1220?
False
Does 10 divide 14631?
False
Does 5 divide 1340?
True
Is 28 a factor of 29365?
False
Does 19 divide 34124?
True
Does 25 divide 8700?
True
Is 1554 a multiple of 7?
True
Is 12 a factor of 96?
True
Is 12 a factor of 682?
False
Is 196 a multiple of 7?
True
Is 43938 a multiple of 162?
False
Is 2 even?
True
Is 42 a factor of 1470?
True
Is 135 a factor of 14310?
True
Does 8 divide 129?
False
Is 38 a factor of 2105?
False
Does 4 divide 20?
True
Is 11 a factor of 950?
False
Is 63 a factor of 397?
False
Is 68 a factor of 597?
False
Is 69951 a multiple of 45?
False
Is 102 a factor of 2048?
False
Is 24 a factor of 496?
False
Does 60 divide 180?
True
Is 34 a factor of 22490?
False
Is 176 a multiple of 8?
True
Is 41 a factor of 5500?
False
Is 56 a factor of 8448?
False
Does 23 divide 36?
False
Does 4 divide 67?
False
Is 9867 a multiple of 47?
False
Is 111 a factor of 15235?
False
Is 40 a factor of 3920?
True
Does 190 divide 11970?
True
Does 36 divide 14112?
True
Does 112 divide 15657?
False
Does 37 divide 32745?
True
Does 36 divide 14580?
True
Is 80 a factor of 62800?
True
Is 9896 a multiple of 32?
False
Is 18 a factor of 16470?
True
Does 12 divide 204?
True
Is 1097 a multiple of 9?
False
Does 12 divide 813?
False
Does 143 divide 14872?
True
Is 891 a multiple of 30?
False
Does 97 divide 6111?
True
Does 45 divide 2686?
False
Is 9 a factor of 10350?
True
Is 27 a factor of 27027?
True
Is 9 a factor of 13532?
False
Is 72581 a multiple of 43?
False
Does 18 divide 4303?
False
Is 97 a factor of 18839?
False
Does 9 divide 5058?
True
Is 7 a factor of 15787?
False
Is 15296 a multiple of 239?
True
Does 17 divide 2805?
True
Does 65 divide 51025?
True
Does 133 divide 88578?
True
Does 3 divide 1747?
False
Does 3 divide 892?
False
Does 60 divide 22060?
False
Does 14 divide 5432?
True
Is 298 a multiple of 27?
False
Is 94810 a multiple of 38?
True
Does 13 divide 14443?
True
Does 10 divide 5230?
True
Does 33 divide 201?
False
Does 12 divide 10652?
False
Does 38 divide 3135?
False
Does 15 divide 6240?
True
Is 67 a factor of 25326?
True
Is 182 a multiple of 7?
True
Is 1831 a multiple of 27?
False
Does 17 divide 1173?
True
Is 36 a factor of 3205?
False
Is 7 a factor of 5278?
True
Is 1962 a multiple of 9?
True
Is 4669 a multiple of 137?
False
Is 37214 a multiple of 23?
True
Is 598 a multiple of 46?
True
Is 16 a factor of 14064?
True
Is 49 a factor of 4704?
True
Does 24 divide 624?
True
Is 14 a factor of 3986?
False
Is 12 a factor of 804?
True
Is 68451 a multiple of 14?
False
Is 2 a factor of 3885?
False
Does 45 divide 585?
True
Is 29 a factor of 729?
False
Is 10 a factor of 647?
False
Does 9 divide 612?
True
Does 152 divide 31312?
True
Does 20 divide 60?
True
Is 4 a factor of 636?
True
Is 1936 a multiple of 11?
True
Is 1030 a multiple of 10?
True
Does 65 divide 1235?
True
Does 29 divide 261?
True
Does 16 divide 32992?
True
Does 62 divide 4846?
False
Is 15 a factor of 1020?
True
Is 18 a factor of 576?
True
Does 21 divide 31605?
True
Does 14 divide 3892?
True
Is 88 a multiple of 26?
False
Does 6 divide 3788?
False
Is 16 a factor of 624?
True
Is 3 a factor of 3933?
True
Does 2 divide 399?
False
Does 7 divide 20990?
False
Is 2 a factor of 85?
False
Does 232 divide 61480?
True
Does 132 divide 7220?
False
Is 9 a factor of 752?
False
Does 18 divide 1188?
True
Is 16 a factor of 663?
False
Is 57 a factor of 171?
True
Does 26 divide 21034?
True
Is 3 a factor of 1438?
False
Does 470 divide 55600?
False
Is 15 a factor of 54?
False
Does 8 divide 4393?
False
Does 22 divide 2332?
True
Is 1191 a multiple of 20?
False
Does 3 divide 54?
True
Is 159 a factor of 29733?
True
Does 69 divide 113022?
True
Does 69 divide 5848?
False
Is 5038 a multiple of 4?
False
Is 27 a factor of 2757?
False
Is 55860 a multiple of 181?
False
Is 9510 a multiple of 15?
True
Does 15 divide 532?
False
Does 42 divide 1092?
True
Does 77 divide 1957?
False
Does 194 divide 9465?
False
Is 57 a factor of 33402?
True
Does 59 divide 11314?
False
Is 214 a factor of 71853?
False
Does 13 divide 3237?
True
Is 28766 a multiple of 69?
False
Is 120 a factor of 31080?
True
Is 2789 a multiple of 24?
False
Is 32 a factor of 48?
False
Is 30 a factor of 23002?
False
Does 37 divide 19018?
True
Is 301 a multiple of 9?
False
Does 18 divide 7829?
False
Is 16 a factor of 26?
False
Does 48 divide 4896?
True
Is 79749 a multiple of 9?
True
Is 411 a multiple of 31?
False
Is 76124 a multiple of 263?
False
Is 2 a factor of 3?
False
Does 10 divide 2240?
True
Does 118 divide 7188?
False
Does 71 divide 71?
True
Does 5 divide 2035?
True
Does 7 divide 2863?
True
Is 13156 a multiple of 5?
False
Is 7 a factor of 302?
False
Does 29 divide 2281?
False
Is 32848 a multiple of 8?
True
Does 12 divide 2496?
True
Does 27 divide 4628?
False
Is 611 even?
False
Is 11 a factor of 91476?
True
Does 23 divide 11224?
True
Does 7 divide 304?
False
Is 142 a multiple of 3?
False
Does 19 divide 1387?
True
Does 18 divide 2160?
True
Is 40 a factor of 520?
True
Is 2 a factor of 8?
True
Is 108 a factor of 20775?
False
Is 28 a factor of 46355?
False
Is 405 a multiple of 77?
False
Does 17 divide 30?
False
Does 18 divide 234?
True
Is 1485 a multiple of 11?
True
Does 76 divide 1322?
False
Is 16830 a multiple of 34?
True
Is 7898 a multiple of 17?
False
Does 17 divide 80317?
False
Is 94 a multiple of 10?
False
Is 13858 a multiple of 43?
False
Is 7 a factor of 6567?
False
Does 7 divide 413?
True
Is 37 a factor of 2849?
True
Is 180 a multiple
|
{
"pile_set_name": "DM Mathematics"
}
|
. Calculate the greatest common divisor of 10 and b.
10
Let p(h) = h**3 + 4*h**2 + 4. Let a be p(-4). Suppose 0 = 2*z - 40 + a. Let t(w) = -w - 3. Let b be t(-5). Calculate the highest common divisor of b and z.
2
Let o(p) = -p**3 + 7*p**2 + 11*p - 8. Let l be o(8). Calculate the highest common divisor of 4 and l.
4
Let o(n) be the first derivative of -n**2 + 5*n + 5. Let c be o(-7). Calculate the highest common divisor of 19 and c.
19
Suppose -4*q - 2 + 22 = 0. Suppose 3*k = 6, 3*v + q*k = v + 42. What is the greatest common divisor of v and 24?
8
Let l(u) = -u**3 + u**2. Let a(s) = 2*s**3 - s**2 - 4*s + 2. Let k(o) = -a(o) - 5*l(o). Let t be k(2). Calculate the greatest common factor of 42 and t.
14
Suppose 86 = -5*x - 4. Let r be (x/21)/((-1)/42). What is the greatest common divisor of r and 54?
18
Suppose 5*l - 3*l - 10 = 0. Let u be -3 + (l - 0) + 15. What is the greatest common divisor of 187 and u?
17
Suppose 0 = -5*r - 4*l + 177, -5*r - 6*l + 180 = -l. What is the greatest common factor of 22 and r?
11
Suppose 3*y = y. Let j = 42 - y. Calculate the highest common divisor of 14 and j.
14
Suppose -764 = -3*h - h. Suppose -4*k + h = -69. Suppose 5 = -5*c + k. What is the greatest common divisor of c and 48?
12
Let h = 208 - 78. What is the greatest common factor of 10 and h?
10
Let d be (-4)/(-8)*54 - -3. Suppose -2*h - 3*h + d = 0. What is the highest common divisor of 15 and h?
3
Let k be ((-1)/2)/((-3)/192). Suppose -25 = -2*a - 9. What is the highest common factor of a and k?
8
Suppose 0 = -3*w - 0*w + 3. Suppose -4*l - w = -53. Calculate the greatest common factor of l and 91.
13
Let t(v) = 3*v**2 - 8*v + 21. Let m be t(-7). Calculate the highest common factor of 28 and m.
28
Let p = 184 - 58. Calculate the highest common factor of p and 18.
18
Let u(h) = 2*h + 6. Let q be u(-6). Let f be (-24)/(-2)*(-16)/q. Calculate the highest common factor of 4 and f.
4
Let k = 41 + -33. Let j = -4 - -6. Let p = k - j. Calculate the greatest common divisor of 30 and p.
6
Suppose -13 = -z - 0*z + 3*j, 5*j = 2*z - 24. What is the greatest common factor of 63 and z?
7
Let i = 5 + -2. Let q(u) = u**3 - u**2 - 5*u + 4. Let w be q(i). What is the greatest common divisor of 7 and w?
7
Let q = 9 - 1. Let a(j) = -j**2 + 10*j + 4. Let s be a(8). What is the highest common divisor of q and s?
4
Let y(g) = 2*g**2 + g - 8. Let v be y(-4). Calculate the greatest common factor of 5 and v.
5
Suppose c = -2*s + 3, -c - 2*c = -2*s - 1. Let f be (0 - -9)*5/15. Suppose -4*d = -3*d - f. Calculate the greatest common factor of s and d.
1
Let g be (-1)/(12/220)*-6. Calculate the greatest common divisor of g and 10.
10
Suppose -4*c + 1 = 4*i - 7, -8 = -4*i - 3*c. Let y be (10/25)/(i/20). Calculate the highest common factor of 28 and y.
4
Suppose 0 = 4*r - 66 + 6. Let p be -5*(-3)/r*4. Suppose -5*b = -41 - p. What is the highest common factor of b and 9?
9
Let m = 3 - -63. What is the greatest common divisor of 44 and m?
22
Suppose 0*l = -4*l + 28. Let u = -53 + 81. Calculate the highest common factor of u and l.
7
Suppose -9 = -4*b + 47. Let o(g) = 6*g + 1. Let d(n) = -n. Let s(t) = -3*d(t) + o(t). Let m be s(3). What is the greatest common factor of b and m?
14
Let k(j) = -4*j + 4. Let w = -13 + 8. Let c be k(w). What is the highest common factor of 120 and c?
24
Let t(c) = c**3 + 2*c**2 - 6*c + 7. Let l be t(5). Calculate the highest common factor of l and 19.
19
Suppose 142 = 3*v - 4*g, 0 = -2*v - 4*g + 63 + 65. Calculate the greatest common divisor of 6 and v.
6
Let d = 1 - 0. Let b be (-1 + 3 - d) + 16. What is the greatest common divisor of 119 and b?
17
Let f(q) = q**3 - 4*q**2 + 5*q - 3. Let m be f(3). Suppose 0*c - 5*c = -75. Let n = c + 12. What is the greatest common divisor of m and n?
3
Let c(a) = a**3 + a**2 + a + 8. Let w(n) = -n - 4. Let b be w(-4). Let d be c(b). What is the highest common divisor of d and 16?
8
Let c be (-13)/((-28)/(-10) + -3). What is the greatest common factor of c and 26?
13
Suppose 3*g - 142 = -2*o, 5*g = 2*o + o + 205. Suppose -7*m + 3*m = -g. What is the highest common divisor of m and 55?
11
Let y be 2/(-6)*24/(-2). Suppose 54 - 6 = y*b. What is the greatest common factor of 18 and b?
6
Let z = -12 + 75. Let a be 2/(-2) - (-2 + -17). Let r = a - 9. Calculate the greatest common factor of z and r.
9
Let t = 10 + -7. Let j(d) = -d + 6. Let m(g) = -g + 5. Let y(v) = t*m(v) - 2*j(v). Let i be y(-5). What is the highest common divisor of i and 12?
4
Let d(v) = -v**3 - 6*v**2 - 6*v + 1. Let w be d(-5). Suppose 3*h + 2*r = 136, -2*h - h = r - 131. Calculate the highest common factor of w and h.
6
Suppose -3*t + 27 = -4*a - 0*a, 2*t - 18 = -a. Let v = t + -6. Let o = v - -11. Calculate the greatest common factor of 7 and o.
7
Let y be (3/2)/(3/(-8)). Let l be 212/18 - y/18. Calculate the highest common divisor of l and 8.
4
Suppose 2*f - 35 = -3*f. What is the highest common factor of 1 and f?
1
Let p(a) = a**2 + 14. Let b be p(0). Let l = b + -10. Suppose 3*q = -5*o + 4 + 45, -2*q = l. What is the greatest common divisor of o and 11?
11
Let o(n) = -n**3 - 3*n**2 - 3*n + 1. Let d be o(-3). Let i be (-2)/((-4)/42) - 1. Suppose -5*t + i = -0*t. Calculate the greatest common factor of t and d.
|
{
"pile_set_name": "DM Mathematics"
}
|
se 3) in base 6?
15
3 (base 14) to base 9
3
Convert 25 (base 16) to base 13.
2b
Convert -22 (base 3) to base 7.
-11
Convert -47 (base 8) to base 9.
-43
Convert e (base 16) to base 10.
14
a0 (base 14) to base 10
140
-300 (base 5) to base 9
-83
-a (base 12) to base 9
-11
What is -3 (base 16) in base 8?
-3
What is 1314 (base 6) in base 10?
334
2 (base 3) to base 6
2
Convert 101 (base 2) to base 3.
12
Convert 13 (base 7) to base 14.
a
Convert -11 (base 7) to base 6.
-12
What is 2 (base 16) in base 8?
2
Convert 4 (base 7) to base 13.
4
Convert 1031 (base 4) to base 3.
2212
7 (base 8) to base 7
10
Convert 11 (base 16) to base 9.
18
What is -8 (base 11) in base 9?
-8
-4 (base 14) to base 7
-4
What is 7 (base 15) in base 10?
7
b (base 16) to base 6
15
Convert 12 (base 6) to base 12.
8
Convert -48 (base 9) to base 5.
-134
-ca (base 15) to base 3
-21001
Convert 3 (base 14) to base 8.
3
-202 (base 3) to base 14
-16
Convert -15 (base 8) to base 10.
-13
What is -26 (base 8) in base 14?
-18
Convert 68 (base 13) to base 2.
1010110
-2 (base 6) to base 10
-2
Convert 13 (base 12) to base 13.
12
57 (base 10) to base 2
111001
1211 (base 3) to base 10
49
What is -2 (base 9) in base 2?
-10
What is -14 (base 13) in base 7?
-23
Convert b2 (base 14) to base 12.
110
What is -10 (base 12) in base 7?
-15
Convert -8 (base 16) to base 7.
-11
-4 (base 10) to base 4
-10
What is 27 (base 8) in base 6?
35
100001110 (base 2) to base 5
2040
What is 103 (base 8) in base 7?
124
1 (base 7) to base 5
1
What is -1 (base 13) in base 8?
-1
Convert 4 (base 16) to base 10.
4
What is -48 (base 11) in base 10?
-52
Convert -1130 (base 4) to base 12.
-78
106 (base 11) to base 7
241
12 (base 6) to base 16
8
What is -6 (base 14) in base 4?
-12
10 (base 10) to base 5
20
Convert -2 (base 12) to base 3.
-2
What is 15 (base 9) in base 5?
24
-10 (base 13) to base 10
-13
4 (base 7) to base 2
100
What is -2 (base 12) in base 6?
-2
1043 (base 5) to base 6
404
What is 29 (base 13) in base 14?
27
Convert -2 (base 7) to base 13.
-2
-3 (base 5) to base 12
-3
-57 (base 11) to base 14
-46
-13 (base 5) to base 2
-1000
What is 2 (base 13) in base 6?
2
-12 (base 8) to base 6
-14
109 (base 12) to base 11
12a
-11 (base 15) to base 6
-24
What is 19 (base 10) in base 16?
13
Convert c (base 15) to base 13.
c
Convert -2 (base 9) to base 5.
-2
What is 0 (base 14) in base 10?
0
Convert -20 (base 9) to base 15.
-13
What is 10 (base 2) in base 16?
2
-123 (base 4) to base 8
-33
What is -3 (base 6) in base 16?
-3
Convert 1 (base 14) to base 6.
1
What is -14a (base 11) in base 10?
-175
Convert 4 (base 7) to base 12.
4
Convert 3 (base 8) to base 16.
3
Convert -2 (base 9) to base 8.
-2
What is 12 (base 14) in base 4?
100
Convert -20 (base 9) to base 11.
-17
What is -102 (base 4) in base 2?
-10010
-59 (base 10) to base 9
-65
Convert -1a (base 12) to base 7.
-31
What is 30 (base 12) in base 15?
26
1 (base 4) to base 12
1
-52 (base 8) to base 6
-110
3 (base 12) to base 3
10
-67 (base 10) to base 7
-124
Convert -a (base 11) to base 14.
-a
Convert 303 (base 4) to base 7.
102
Convert 1220 (base 3) to base 12.
43
Convert 0 (base 12) to base 11.
0
1 (base 7) to base 2
1
Convert -2 (base 12) to base 11.
-2
What is -6 (base 13) in base 2?
-110
What is 1 (base 12) in base 6?
1
What is -6 (base 13) in base 14?
-6
Convert 111 (base 2) to base 14.
7
-112 (base 3) to base 5
-24
Convert -12112 (base 3) to base 16.
-95
What is -b (base 15) in base 14?
-b
Convert -1 (base 12) to base 5.
-1
What is 23 (base 7) in base 6?
25
What is 1 (base 12) in base 15?
1
b (base 14) to base 9
12
Convert 13 (base 9) to base 16.
c
What is 1 (base 2) in base 12?
1
What is 110011 (base 2) in base 8?
63
What is -10 (base 3) in base 12?
-3
6 (base 7) to base 16
6
-11221 (base 3) to base 14
-97
What is 2 (base 13) in base 3?
2
10110 (base 3) to base 4
1131
Convert -6 (base 7) to base 5.
-11
-2 (base 8) to base 5
-2
What is -8 (base 16) in base 7?
-11
What is -e (base 15) in base 7?
-20
What is 3 (base 4) in base 2?
11
Convert -1 (base 8) to base 2.
-1
What is 27 (base 12) in base 3?
1011
Convert 5 (base 14) to base 7.
5
2 (base 11) to base 10
2
-21 (base 10) to base 4
-111
What is -10 (base 14) in base 9?
-15
Convert 32 (base 12) to base 16.
26
What is -14 (base 14) in base 4?
-102
2102 (base 4) to base 2
10010010
1 (base 14) to base 3
1
-62 (base 11) to base 6
-152
What is 11a (base 12) in base 4?
2212
What is 1 (base 3) in base 11?
1
17 (base 11) to base 5
33
Convert -2a (base 16) to base 6.
-110
Convert -6 (base 10) to base 16.
-6
What is -540 (base 6) in base 15?
-d9
Convert 8 (base 11) to base 2.
1000
What is 0 (base 9) in base 16?
0
-6 (base 9) to base 10
-6
Convert 37 (base 14) to base 5.
144
154 (base 13) to base 8
356
Convert 4 (base 14) to base 11.
4
Convert -2 (base 14) to base 4.
-2
What is 1231 (base 5) in base 10?
191
What is 70 (base 11) in base 12?
65
What is -153 (base
|
{
"pile_set_name": "DM Mathematics"
}
|
he second derivative of h(i). Let s(q) = 2*q - 5*q + 5*q. What is s(u(v))?
78*v
Let n(x) = 5866080*x - 34340. Let f(h) = 1025*h - 6. Let l(g) = 34340*f(g) - 6*n(g). Let q(k) = k. Calculate l(q(m)).
2020*m
Let f(x) = 11*x - 572*x**2 + 574*x**2 - 11*x. Let g(i) = -526*i. Give f(g(v)).
553352*v**2
Let k(l) = 19*l. Suppose -48 = -15*w + 5*d - 13, -3*d = -3*w + 21. Let r(v) be the second derivative of 0*v**2 + 0*v**3 + w - 1/6*v**4 + v. Calculate k(r(h)).
-38*h**2
Let g(l) = -139*l. Let q(k) = 38053*k**2. What is q(g(j))?
735222013*j**2
Let h(b) = -95*b**2. Let v(l) be the second derivative of l**6/360 + l**4/12 - 98*l**2 + 39*l. Let d(p) be the third derivative of v(p). Give h(d(t)).
-380*t**2
Let r(i) = i**2. Let k(l) be the third derivative of -l**5/30 + 176*l**3/3 + 10*l**2 - 1. Give r(k(w)).
4*w**4 - 1408*w**2 + 123904
Let x(v) = 190*v**2 + 211*v**2 + 40*v**2. Let l(n) = 5*n**2. Calculate x(l(b)).
11025*b**4
Let k = -178 + 222. Let w(o) = -k*o + 13*o + 0*o. Let u(f) = -2*f**2. Give u(w(d)).
-1922*d**2
Let t(d) be the first derivative of -d**3/3 - 7. Let o(y) = 109*y + 8. Let u(w) = 218*w + 14. Let f(r) = 7*o(r) - 4*u(r). Give f(t(z)).
109*z**2
Let l(t) = 9*t + t - 6*t - 5*t - t. Let g(o) be the third derivative of 0 + 0*o**3 - 4*o**2 + 0*o - 1/24*o**4. Give l(g(f)).
2*f
Let l(t) = 19655313*t - 4. Let d(g) = -2*g**2. Give l(d(f)).
-39310626*f**2 - 4
Let w(b) = 31989*b. Let v(d) = -1584*d. What is w(v(a))?
-50670576*a
Let b(h) = 6791*h**2 - 16. Let r(p) = 31*p. Give b(r(v)).
6526151*v**2 - 16
Let p(o) = -12*o. Let l(s) = -7074985*s**2. Give l(p(w)).
-1018797840*w**2
Let t(v) be the first derivative of -v**3/3 + 3215. Let i(j) = 280*j. Determine i(t(c)).
-280*c**2
Let a(s) = -47*s - 17. Let d(z) = 3*z - 46. What is a(d(u))?
-141*u + 2145
Let s(h) be the second derivative of 14 - 4*h + 0*h**2 + 331/12*h**4 + 0*h**3. Let a(o) = -2*o**2. Determine a(s(r)).
-219122*r**4
Let n(m) be the second derivative of -14*m**4 + 548*m. Let w(h) = -h. Determine n(w(d)).
-168*d**2
Let p(b) = -12*b**2. Let u(w) = -2*w**2. Let s(o) be the third derivative of -13*o**5/60 - 12*o**2 + 3*o. Let t(d) = -2*s(d) + 14*u(d). Determine p(t(y)).
-48*y**4
Let z(v) = 81158*v. Let g(n) = 232*n**2. Determine z(g(i)).
18828656*i**2
Let l(j) = -58*j - 1. Let r(q) = -64*q - 44. Let a(i) = 24*i + 15. Let p(n) = -11*a(n) - 4*r(n). Calculate p(l(y)).
464*y + 19
Let c(j) = -j**2. Let b be (-7 + 3/1)*9/(-18). Let n(g) = 374 - 764 - g**b + 376. What is c(n(m))?
-m**4 - 28*m**2 - 196
Let o(m) = 58*m**2 - 10320*m. Let c(z) = -2*z**2. Give o(c(h)).
232*h**4 + 20640*h**2
Let d(t) = -3*t**2. Let c(r) = r**3 - 26*r**2 - 18*r - 94. Let g be c(27). Let z(l) = g*l - 1 - 170*l + 1. Calculate z(d(o)).
63*o**2
Let f(b) = -5*b + 100. Let i(o) = -o + 13. Let w(k) = -f(k) + 4*i(k). Let s(c) = -2*c. Give w(s(d)).
-2*d - 48
Let v(r) = 396*r + 24. Let b(o) = 331*o + 20. Let y(c) = -6*b(c) + 5*v(c). Let f(t) = 0 - 1 + 0. Let k(l) = 3*l + 2. Let n(m) = -2*f(m) - k(m). Give y(n(d)).
18*d
Let t(w) = -w**2 - 43*w + 682. Let z be t(-55). Let h(f) be the first derivative of 0*f**2 + z + 0*f + 4/3*f**3. Let n(m) = 2*m**2. What is n(h(b))?
32*b**4
Let p(h) = 30*h**2 - h. Let q(b) = 120600*b. What is q(p(k))?
3618000*k**2 - 120600*k
Let p(i) = 24*i**2. Let u(z) be the third derivative of -11*z**5/30 + z**2 + 377*z. Give u(p(a)).
-12672*a**4
Let l(z) be the third derivative of -z**5/20 - 966*z**2. Let x(q) = 0 + 0 + 24*q. Determine l(x(i)).
-1728*i**2
Let a(w) = -2843*w - 70. Let o(r) = -441*r**2. Give a(o(x)).
1253763*x**2 - 70
Let y(c) be the second derivative of 3*c**3/2 - 1910*c. Let u(k) = 42*k**2 - 3*k. Give y(u(h)).
378*h**2 - 27*h
Let q = 1139 + -1137. Let h(d) be the second derivative of 0 + 1/6*d**3 - 7*d + 0*d**q. Let v(z) = 46*z**2. What is h(v(b))?
46*b**2
Let m = 29 + -24. Suppose m*h = 3*j + 6, j + 3 = 5*h - 3*j. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
ere in 1583.885 millilitres?
1.583885
Convert 43360.28ns to seconds.
0.00004336028
How many months are there in 34/5 of a millennium?
81600
How many seconds are there in 1/4 of a hour?
900
Convert 284154.3 microseconds to nanoseconds.
284154300
How many seconds are there in 1/15 of a hour?
240
Convert 0.2030429ug to milligrams.
0.0002030429
Convert 1859.814 decades to millennia.
18.59814
What is 85.00361 millennia in centuries?
850.0361
How many millilitres are there in 27/5 of a litre?
5400
How many nanograms are there in one fifth of a microgram?
200
How many milliseconds are there in 12/25 of a second?
480
What is five quarters of a litre in millilitres?
1250
What is 82793.02ug in tonnes?
0.00000008279302
How many millilitres are there in 0.463525 litres?
463.525
How many micrograms are there in 541340.1ng?
541.3401
What is 43/2 of a kilogram in grams?
21500
How many grams are there in twenty-one quarters of a kilogram?
5250
What is 5.955812 millilitres in litres?
0.005955812
Convert 0.4822512 micrograms to grams.
0.0000004822512
How many months are there in 714386.3 centuries?
857263560
How many minutes are there in 61/3 of a day?
29280
How many millilitres are there in seven quarters of a litre?
1750
Convert 57.74916ng to tonnes.
0.00000000000005774916
How many millilitres are there in twenty-one eighths of a litre?
2625
How many kilometers are there in 176.7502nm?
0.0000000001767502
What is 2531.17 kilograms in nanograms?
2531170000000000
What is 560554.7 kilometers in micrometers?
560554700000000
What is six fifths of a kilometer in meters?
1200
Convert 25564.257 months to millennia.
2.13035475
What is eighteen fifths of a second in milliseconds?
3600
What is 58.63052ug in milligrams?
0.05863052
What is twenty-five quarters of a meter in millimeters?
6250
What is thirteen fifths of a tonne in kilograms?
2600
What is twenty-seven quarters of a millennium in months?
81000
What is 7.349053m in centimeters?
734.9053
How many months are there in 4/15 of a decade?
32
How many grams are there in 7698.512 milligrams?
7.698512
What is fourty-nine fifths of a tonne in kilograms?
9800
How many nanograms are there in 9/25 of a microgram?
360
What is 9/10 of a hour in minutes?
54
What is 52.00832 years in centuries?
0.5200832
What is 0.042988mm in nanometers?
42988
How many millilitres are there in eighteen fifths of a litre?
3600
What is 7435.641 grams in tonnes?
0.007435641
Convert 443.8915 days to hours.
10653.396
What is sixty-seven thirds of a year in months?
268
How many centimeters are there in one fifth of a meter?
20
What is 208113.111s in days?
2.4087165625
How many months are there in 38645.88 millennia?
463750560
How many seconds are there in 568663.2 days?
49132500480
How many micrograms are there in 3/10 of a milligram?
300
How many grams are there in 3/40 of a kilogram?
75
Convert 109566.7t to milligrams.
109566700000000
What is three fifths of a decade in months?
72
Convert 292.0512ng to grams.
0.0000002920512
How many years are there in 7/2 of a century?
350
How many hours are there in 101292.6 days?
2431022.4
What is four thirds of a day in hours?
32
Convert 772034.8ml to litres.
772.0348
How many days are there in 26131420.8ms?
0.302447
How many minutes are there in fifty sevenths of a week?
72000
What is 0.0850979 days in hours?
2.0423496
How many years are there in 6/5 of a decade?
12
What is 480552.4 decades in centuries?
48055.24
What is 41862.08 hours in nanoseconds?
150703488000000000
What is 0.6023399l in millilitres?
602.3399
How many micrograms are there in 46/5 of a milligram?
9200
How many nanometers are there in 1/20 of a micrometer?
50
What is 77.9746 decades in millennia?
0.779746
How many kilometers are there in 0.6765843nm?
0.0000000000006765843
What is 302.1871 years in decades?
30.21871
What is 1.71243m in millimeters?
1712.43
What is 5/4 of a week in hours?
210
What is one sixteenth of a gram in micrograms?
62500
How many millilitres are there in fifty-two fifths of a litre?
10400
What is six fifths of a litre in millilitres?
1200
Convert 5598.648m to centimeters.
559864.8
How many milligrams are there in seven halves of a gram?
3500
How many nanograms are there in 86872.54 grams?
86872540000000
Convert 3.172605ng to grams.
0.000000003172605
What is fifty-two fifths of a minute in seconds?
624
What is 462.9868 minutes in microseconds?
27779208000
What is 1/10 of a micrometer in nanometers?
100
What is 5.325649 litres in millilitres?
5325.649
How many nanograms are there in one twentieth of a milligram?
50000
Convert 0.7448735mg to nanograms.
744873.5
How many micrometers are there in 11/2 of a millimeter?
5500
What is 273.2987 tonnes in kilograms?
273298.7
What is five quarters of a litre in millilitres?
1250
Convert 238.121991 seconds to days.
0.0027560415625
Convert 1.0203243s to minutes.
0.017005405
What is 9/14 of a week in minutes?
6480
What is 9.856712 years in decades?
0.9856712
How many seconds are there in 512.5395 weeks?
309983889.6
How many millilitres are there in 0.8480238 litres?
848.0238
How many millilitres are there in 3.034955 litres?
3034.955
How many millilitres are there in twenty-nine fifths of a litre?
5800
What is 3/40 of a litre in millilitres?
75
How many hours are there in 1/4 of a day?
6
How many nanometers are there in 7.797036 micrometers?
7797.036
Convert 4.9886955us to days.
0.00000000005773953125
How many seconds are there in eleven tenths of a day?
95040
How many litres are there in 7.276483ml?
0.007276483
What is six fifths of a microgram in nanograms?
1200
What is 28.23917 micrograms in milligrams?
0.02823917
How many nanoseconds are there in 3/10 of a microsecond?
300
What is 8.728286 kilograms in milligrams?
8728286
What is 11170.89 hours in seconds?
40215204
Convert 8335.897 grams to nanograms.
8335897000000
What is 0.2070399 centuries in years?
20.70399
How many seconds are there in twenty-nine thirds of a minute?
580
How many meters are there in 421.974 kilometers?
421974
How many seconds are there in 1/24 of a hour?
150
Convert 119.571mm to nanometers.
119571000
How many minutes are there in 32/5 of a day?
9216
What is 84.7379l in millilitres?
84737.9
What is fifty-one halves of a litre in millilitres?
25500
What is 3194.295s in microseconds?
3194295000
What is 1/
|
{
"pile_set_name": "DM Mathematics"
}
|
ose 20*a + 285 = 23*a. Let k(n) = -2*n**2 + 23*n - 24. Calculate the remainder when a is divided by k(6).
11
Suppose 231 = 104*t - 115*t. Calculate the remainder when (-11409)/t - (-14)/(-49) is divided by 42.
39
Suppose -16*j - 12308 = -84*j. Calculate the remainder when j is divided by 115.
66
Let a = -3045 - -3466. Calculate the remainder when 1263 is divided by a.
0
Let a(r) = -99*r**3 + 12*r**2 + 11*r - 2. Calculate the remainder when 263 is divided by a(-1).
67
Suppose -4*f + 3*f + 5 = 0. Suppose -f*r = 4*p - 20 - 17, -2*r = 3*p - 26. Calculate the remainder when 27 is divided by (-20)/(p/(-2 + -2)).
7
Let l(u) = -49*u**2 - 23*u - 62. Let p be l(-3). Let i = -414 - p. What is the remainder when 39 is divided by i?
19
Let g = -306 - -336. Calculate the remainder when g is divided by ((-3)/(-2))/(289/238 + -1).
2
Let c(o) = -3*o + 2*o - 78*o**2 + 170*o**2 - o**3 + 0*o - 80*o**2 - 78. Calculate the remainder when c(10) is divided by 35.
7
Let a = 9732 + -9598. What is the remainder when 657 is divided by a?
121
Let l(o) = -12 + o + 2 + 5*o + 28*o. Calculate the remainder when 231 is divided by l(2).
57
Let p = -1182 + 9346. Calculate the remainder when p is divided by 6.
4
Let j be (8*(-2)/(-4))/(14/91). Suppose 0 = -5*z + 129 + j. What is the remainder when 556 is divided by z?
29
Calculate the remainder when ((-4 - -6) + 0)*(-64719)/(-54) is divided by 30.
27
What is the remainder when 713 + (12 - -52)/16 is divided by 51?
3
Let n(x) = x**3 + 10*x**2 - 39*x - 19. What is the remainder when n(-12) is divided by 54?
53
Calculate the remainder when 30 is divided by 124/93*(17 - -1).
6
Let a(h) = 8*h - 56. Let v(z) = 16*z - 15. Let p be v(6). Let y = p + -36. Calculate the remainder when y is divided by a(9).
13
Let g(b) = -2*b**2 - 23*b - 26. Let u(r) be the third derivative of -r**4/24 + r**3/2 - 7*r**2. Calculate the remainder when g(-8) is divided by u(-5).
6
Let a = 20404 - 20226. What is the remainder when 1251 is divided by a?
5
Calculate the remainder when 1123 is divided by (827 - -1)/(1/2 - (-9 - -8)).
19
Let i = -2740 + 2890. What is the remainder when 897 is divided by i?
147
Suppose -606*g = -645*g + 229749. Calculate the remainder when g is divided by 20.
11
Suppose 7 - 2 = 5*p - 5*v, -9 = -2*p - 5*v. Suppose 2*t - 25 = -p*r + r, -4*t + 35 = r. Suppose -s - 2*s = -126. What is the remainder when s is divided by r?
12
Let d(l) = -15*l - 53. Suppose 2*t + 4*q - 60 = 0, -3*t + 4*q - 11 = -71. What is the remainder when d(-16) is divided by t?
19
Let i(k) = k**3 - 18*k**2 + 7*k - 21. Let z be i(18). What is the remainder when 177 is divided by (-5*98/z)/((-2)/6)?
9
Calculate the remainder when 2305 is divided by (-7)/((4/6)/(-11 - -9)).
16
Calculate the remainder when -14 - -16 - (1 + -635) is divided by 313.
10
Let d be 8 + -8 + (4 - 0). Suppose -69 - 59 = -d*t. Suppose -5*o + 4*w + 645 = -w, 0 = 5*w + 15. What is the remainder when o is divided by t?
30
Let l be (455 - 1/(-1))*(-10)/20. Let b = l + 231. What is the remainder when 24 is divided by b?
0
Suppose -w - 5*d = -41, 2*d + 2*d - 16 = 0. Suppose -1047*t + 1371*t = 12312. Calculate the remainder when t is divided by w.
17
Let i = 11568 - 11557. Calculate the remainder when 1032 is divided by i.
9
Suppose -8 = -2*z - 2. Suppose -g - 2*f - z = 3*f, 5*g - 39 = 2*f. Suppose 5*l - 22 + g = 0. What is the remainder when 13 is divided by l?
1
Let f be ((-1)/(-3))/(4/(-168)). Let i be (-1)/(4/3)*232. Calculate the remainder when 22 is divided by i/f - 4/(56/6).
10
Let i be 6/(-8) + (-66)/(-24). Suppose -i*t = 2*t - 12. Suppose -5*v = w - 23, -115 = -5*w - v - t*v. What is the remainder when 67 is divided by w?
21
Suppose 0 = -48*u + 2726 + 154. Calculate the remainder when 5638 is divided by u.
58
Let p(z) = z + 64. Let h be p(15). Suppose v + 4*v = 2*w + 148, 0 = -4*w + 5*v - 296. Let q = w + h. Calculate the remainder when 18 is divided by q.
3
Suppose -558*m - t = -560*m + 68, 5*t + 30 = 0. Calculate the remainder when -3*((-61)/3 + -2) is divided by m.
5
Suppose -6*g - 36*g = -g - 3813. What is the remainder when 154 is divided by g?
61
Suppose 238 = -6*b + 7*b. Let x(w) = w**3 + 21*w**2 - w + 19. Calculate the remainder when b is divided by x(-21).
38
Let o(q) = -q**3 - 10*q**2 - 9*q - 6. Let j be o(-8). What is the remainder when 137 is divided by (2 - j/(-7))/((-8)/56)?
41
Let q(t) = 2*t**2 - 239*t + 6743. Calculate the remainder when q(45) is divided by (-36)/(-10) + 10/25.
2
What is the remainder when 7 + -7 + -1 + (1 - -3619) is divided by 1203?
10
Let k = -1472 + 1458. Let q = 4 - 7. Calculate the remainder when 62 is divided by 1*q + 4*(-91)/k.
16
Suppose -1215*a = -1391*a + 31680. Calculate the remainder when 699 is divided by a.
159
Suppose 2*l - 4 = -t, -2*l + 13 = 5*t - 7. Suppose -5*x + 8 - 48 = -5*q, 4 = -q + t*x. What is the remainder when (-14*(-19)/266)/((-1)/(-31)) is divided by q?
7
Let b(p) = p**2 + 1. Let d(h) = 7*h**2 + 4. Let j(o) = -3*b(o) + d(o). Let f be 0 - -6 - (7 - 2). What is the remainder when 24 is divided by j(f)?
4
Let q(y) = 12*y**2 + 65*y + 394. Calculate the remainder when q(-8) is divided by 110.
92
Let c = -8590 - -9175. Calculate the remainder when c is divided by 7.
4
Let k = 132 - 129. Suppose -k*j + 47 + 73 = 0. Suppose 0 = 6*c - 14 - j. Calculate the remainder when 69 is divided by c.
6
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 86 for l.
3
Solve -2*t = -d, 5*t = 2*d + 9 - 10 for d.
-2
Solve 9*a + 168 = -z + 58, -4*a = -5*z + 38 for z.
-2
Solve 10*g = 7*g - 3*w + 24, -2*w + 25 = 5*g for g.
3
Solve 0 = 3973*s - 3978*s + 5*y + 45, 20 = 3*s - 2*y for s.
2
Solve 8 = 2*k + n, 4*k + 5*n = -5 + 15 for k.
5
Solve 0 = 4*f + 5*m + 17, -3*m - 902 = 4*f - 895 for f.
2
Solve -4*x - 24 = 3*j, -8*j + 9*j + 5 = -3*x + 2*j for x.
-3
Solve 2*o = -62*d + 57*d + 17, 4*o + 4*d - 4 = 0 for o.
-4
Solve 5*p + 18*w + 36 = 0, 0 = -5*p - w + 18 - 20 for p.
0
Solve 4*n + 1035*d = 1034*d + 7, 5*d + 5 = 0 for n.
2
Solve -60 = 5*a + 5*b, -4*b - 22 = 3*a + 19 for a.
-7
Solve -16 = 2*s + 3*j, -15*s + 4*j + 3 = -14*s for s.
-5
Solve -19*m + 28*m - 31 = -2*b, 3*b - 9 = -m for b.
2
Solve -2*u + 14 = 10*n, 18*u - 17*u - 3*n = -9 for u.
-3
Solve 1195 = -5*r - 5*q + 1210, -5*r = -q + 3 for r.
0
Solve -49 = -5*f - 3*v, 4*v - 246 = 3*f - 229 for f.
5
Solve 0 = -5*a + 180 - 170, 4*i + 25*a - 66 = 0 for i.
4
Solve -33*b + 3*v = -36*b + 27, -5*v = -2*b + 53 for b.
14
Solve -3*c - 44*o + 40*o = -33, c + 4*o - 19 = 0 for c.
7
Solve 5*w + 4*z = -3, -29*z + 3 = -3*w - 31*z for w.
-3
Solve -3*i + 3*z - 24 = 0, -2*z - 41 = 7*i - 4*z for i.
-5
Solve -116*v - 6 = 2*o - 112*v, -2 = v for o.
1
Solve 3*l + 50*h - 52*h + 17 = 0, -3*l - 3*h = 27 for l.
-7
Solve 2*t + 10 = -0*t, -3*w = 26*t + 33*t + 286 for w.
3
Solve -21*b + 16*b - 3*q = -15, 13*b = -2*q + 10 for b.
0
Solve n - 4 = z, 77*n - 81*n + 16 = 0 for z.
0
Solve -14 = 3*r - 5*q, -4*r - 2*q = -516 + 526 for r.
-3
Solve 4*r = -620*d + 622*d - 28, 5*d - 22 = 2*r for d.
2
Solve 3*w - 9 = 0, -3*a + 9*w = -a + 4*w - 31 for a.
23
Solve 3*g - 9 = -3*w, -1841*g + 4*w = -1843*g + 4 for g.
4
Solve 0 = -4*w + 10*z - 12, 7*w - 9*w + z + 2 = 0 for w.
2
Solve 15 = -4*c + 807*n - 804*n, -4*n + 39 = c for c.
3
Solve -3*v - a + 440 = 466, 2*v + 6 = -12*a for v.
-9
Solve 3*v + 2*d = 5, -43*v + 7*d - 2 = -38*v for v.
1
Solve 0 = -5*c + 2*k - 5, -23*k = -129*c + 131*c - 117 for c.
1
Solve 19 = -4*d - 139*a + 142*a, 3*d + 14 = 2*a for d.
-4
Solve 4*y + 3*t = -49, -11 + 4 = -y + t for y.
-4
Solve 368*s - 365*s + 11 = -x, x - 1 = 0 for s.
-4
Solve -5*g = 15, -14 = m + 4*g + 6 - 12 for m.
4
Solve 5*q + 64 - 15 = -c, -29*q + 28*q = 9 for c.
-4
Solve 4*p + 938 - 962 = 5*f, 2*p = 4*f + 12 for f.
0
Solve 0 = z + 4*t - 8, -14 = -3*z + 8103*t - 8110*t for z.
0
Solve -a + 3*z - 7 = 0, 5*a - z - 622 = -629 for a.
-1
Solve -f = -2*x - 33849 + 33883, -4*x = -3*f - 66 for x.
18
Solve 149279*o - 149276*o - 5*w + 20 = 0, 0 = -4*o - w - 19 for o.
-5
Solve -20 = 2*m + 4*h, -9*m = -7*m + 3*h + 15 for m.
0
Solve 3*v - r - 15 = 0, 19*v + 4*r + 60 = 23*v for v.
0
Solve 320*u = -a + 321*u + 5, a - 4 = 2*u for a.
6
Solve 321*a - 320*a - 4*g - 8 = 0, 2*g = 5*a + 32 for a.
-8
Solve 6 = -24*o + 23*o + 4*m, 4*m = 2*o + 8 for o.
-2
Solve 2*o - 15 + 19 = 0, -5*x - 5*o - 10 = 0 for x.
0
Solve u = -2*s + 4, -2*s = -135*u + 131*u - 4 for u.
0
Solve -4*d = 81 + 74 - 175, 0 = -3*n - d - 10 for n.
-5
Solve g + 14944 = 4*w + 14921, -2*g = -5*w + 31 for g.
-3
Solve -4*i + 2*a = -40, 0 = i + 5*a + 7626 - 7559 for i.
3
Solve 2*k + 8 = -6*t + 4*t, -2*k + 4*t = -22 for k.
1
Solve -9 = -8213*v + 8214*v + 4*u, 8*u + 13 = 3*v for v.
-1
Solve 9*p + 3*v - 39 = 0, -37*v + 40*v + 17 = 5*p for p.
4
Solve 52 = 2*m - 4*f, -409*m + 404*m = -3*f - 102 for m.
18
Solve -11*o - 9 = -8*o + 3*m, 70 = -10*m for o.
4
Solve -4*l - 32 = -5*c - 79, 26*c - 56 = -4*l + 22*c for l.
13
Solve 10 = f + 3*d, -3*d + 17 = 429*f - 427*f for f.
7
Solve -n - y + 25 = 22, -y - 2 = 0 for n.
5
Solve -3*z + 22939*s - 22934*s - 15 = 0, -4*z = 5*s - 50 for z.
5
Solve -q + 7 = 164*k - 156*k, k - 4*q = 5 for k.
1
Solve 4*v + 9 = -
|
{
"pile_set_name": "DM Mathematics"
}
|
ut replacement from {q: 1, a: 4, y: 2, v: 2, x: 3}.
1/55
Four letters picked without replacement from llellfllfeeelleeelf. Give prob of sequence eefe.
35/5168
Two letters picked without replacement from mmbbbmmbmmbbm. What is prob of sequence mb?
7/26
Two letters picked without replacement from {q: 5, a: 11}. Give prob of sequence aa.
11/24
Calculate prob of sequence quu when three letters picked without replacement from byuibugyyiggygqgiig.
1/2907
Four letters picked without replacement from yamaccmmcycm. What is prob of sequence cmay?
8/1485
What is prob of sequence zrff when four letters picked without replacement from {z: 2, f: 7, r: 6}?
1/65
What is prob of sequence hqq when three letters picked without replacement from qqjjeshjhhqqhr?
2/91
Two letters picked without replacement from {p: 8, d: 2}. Give prob of sequence pp.
28/45
Three letters picked without replacement from ykkysujskymjmkms. What is prob of sequence sjj?
1/560
What is prob of sequence ufe when three letters picked without replacement from {t: 3, e: 5, f: 5, j: 1, u: 4}?
25/1224
Three letters picked without replacement from {c: 9, t: 1, i: 1}. Give prob of sequence cic.
4/55
Calculate prob of sequence qx when two letters picked without replacement from {v: 4, c: 4, q: 3, x: 1, r: 2}.
3/182
What is prob of sequence ryr when three letters picked without replacement from {y: 1, r: 2}?
1/3
Two letters picked without replacement from mxnxifixfmix. Give prob of sequence fx.
2/33
Calculate prob of sequence ukuu when four letters picked without replacement from {k: 15, u: 3}.
1/816
Four letters picked without replacement from kiikrw. Give prob of sequence wkir.
1/90
Calculate prob of sequence qi when two letters picked without replacement from {q: 1, p: 3, b: 3, g: 1, i: 3, x: 2}.
1/52
Three letters picked without replacement from uikipkzpkppppppkp. Give prob of sequence iuz.
1/2040
Two letters picked without replacement from nmmuuunmumu. What is prob of sequence mn?
4/55
Three letters picked without replacement from {o: 1, m: 1, f: 2, b: 3, r: 1, y: 3}. Give prob of sequence fyr.
1/165
Calculate prob of sequence bbb when three letters picked without replacement from {b: 5, c: 8}.
5/143
What is prob of sequence vkvk when four letters picked without replacement from {k: 2, v: 16}?
1/153
Three letters picked without replacement from {r: 1, c: 1, n: 4, w: 3, q: 8}. Give prob of sequence qnq.
14/255
Calculate prob of sequence pp when two letters picked without replacement from {r: 3, s: 4, p: 8, w: 1, y: 3}.
28/171
Two letters picked without replacement from {b: 2, q: 2, l: 4, v: 3, i: 2}. What is prob of sequence bb?
1/78
Calculate prob of sequence id when two letters picked without replacement from difiifhli.
1/18
Calculate prob of sequence it when two letters picked without replacement from {t: 2, b: 3, n: 4, i: 2, h: 1}.
1/33
Two letters picked without replacement from mtymhpphmhypppw. Give prob of sequence th.
1/70
Calculate prob of sequence nnn when three letters picked without replacement from {x: 5, n: 14}.
364/969
Two letters picked without replacement from {t: 1, s: 8, y: 6, g: 1, r: 1}. What is prob of sequence gt?
1/272
Calculate prob of sequence ee when two letters picked without replacement from ddeevo.
1/15
What is prob of sequence xuui when four letters picked without replacement from viuuxkxuxkiuxxvxxvku?
7/2907
What is prob of sequence tz when two letters picked without replacement from {z: 1, y: 5, t: 6, j: 2, m: 5}?
1/57
Four letters picked without replacement from {q: 5, o: 15}. Give prob of sequence qoqo.
35/969
What is prob of sequence jqq when three letters picked without replacement from jqdqjjjjnqnqqndnnjj?
70/2907
Two letters picked without replacement from mmuuuumummmuu. Give prob of sequence um.
7/26
Calculate prob of sequence yyy when three letters picked without replacement from yyyy.
1
Two letters picked without replacement from {h: 1, w: 2, c: 1, e: 1, j: 1, z: 2}. Give prob of sequence zh.
1/28
Two letters picked without replacement from {p: 1, c: 7, j: 1, g: 7}. Give prob of sequence pg.
7/240
What is prob of sequence qa when two letters picked without replacement from {q: 2, a: 1, p: 1}?
1/6
Calculate prob of sequence pib when three letters picked without replacement from byrpsip.
1/105
What is prob of sequence ppxx when four letters picked without replacement from xxxwxxxppxtptxjxbt?
1/170
Three letters picked without replacement from {o: 2, z: 2, e: 3, t: 6, a: 2}. Give prob of sequence zeo.
2/455
Two letters picked without replacement from {y: 3, s: 1}. What is prob of sequence ys?
1/4
Three letters picked without replacement from {v: 3, k: 5, s: 3, e: 7, u: 2}. What is prob of sequence vek?
7/456
Calculate prob of sequence eede when four letters picked without replacement from {p: 1, l: 6, d: 2, e: 9}.
7/510
What is prob of sequence hbh when three letters picked without replacement from {s: 7, h: 6, b: 1}?
5/364
Calculate prob of sequence nk when two letters picked without replacement from nnnnnnnknnnn.
1/12
Four letters picked without replacement from mvmmmmv. Give prob of sequence mmmv.
1/7
Calculate prob of sequence qn when two letters picked without replacement from qqqqnqqnqtqvvq.
9/91
Two letters picked without replacement from {x: 4}. What is prob of sequence xx?
1
Three letters picked without replacement from {i: 1, p: 1, d: 1, h: 1, s: 1}. Give prob of sequence idh.
1/60
Two letters picked without replacement from {v: 11, f: 1}. What is prob of sequence vf?
1/12
Calculate prob of sequence ppqa when four letters picked without replacement from {a: 6, q: 1, p: 7}.
3/286
What is prob of sequence yifi when four letters picked without replacement from fxihxxixyhxhxii?
1/2730
What is prob of sequence bbnb when four letters picked without replacement from {n: 7, y: 4, b: 6, d: 1}?
7/612
Four letters picked without replacement from {t: 4, g: 2, o: 3, e: 1, q: 4}. Give prob of sequence etqe.
0
Three letters picked without replacement from evdvndrvvrvzrrv. Give prob of sequence rzd.
4/1365
Calculate prob of sequence mf when two letters picked without replacement from {y: 1, f: 11, m: 5}.
55/272
Three letters picked without replacement from {d: 1, w: 7, b: 3, c: 3}. Give prob of sequence cbw.
3/104
What is prob of sequence pvpm when four letters picked without replacement from mvmpmyymavlp?
2/1485
Two letters picked without replacement from sssu. What is prob of sequence su?
1/4
Two letters picked without replacement from hhhhhjjhhh. Give prob of sequence hj.
8/45
Two letters picked without replacement from ggjjlwj. Give prob of sequence jl.
1/14
Calculate prob of sequence ww when two letters picked without replacement from wppwwpwwhbwpyye.
1/7
Two letters picked without replacement from {y: 2, p: 1
|
{
"pile_set_name": "DM Mathematics"
}
|
27 divided by -330
-9/110
3482 divided by -4
-1741/2
Divide -750 by 5.
-150
What is -2398 divided by -22?
109
328 divided by 41
8
-625 divided by -25
25
Divide 192 by -6.
-32
4287 divided by -1
-4287
Divide -275 by -2.
275/2
What is -710 divided by -4?
355/2
-52 divided by 52
-1
Divide 2300 by 2.
1150
What is -1 divided by 4?
-1/4
-4965 divided by 993
-5
Calculate 896 divided by -2.
-448
Calculate -4 divided by -123.
4/123
Divide -486 by -54.
9
-3514 divided by 7
-502
What is -15138 divided by -58?
261
-354 divided by -6
59
What is 777 divided by -21?
-37
What is -3 divided by -1496?
3/1496
What is 1905 divided by -381?
-5
Calculate -9 divided by 3.
-3
Calculate 3 divided by -70.
-3/70
What is 50 divided by 5?
10
Calculate -3 divided by 25.
-3/25
310 divided by -3
-310/3
What is 984 divided by -246?
-4
What is 2906 divided by 2906?
1
Divide 66 by 6.
11
Divide -52 by 4.
-13
Calculate -4 divided by -1996.
1/499
Divide -3152 by -6.
1576/3
10 divided by -1
-10
-108 divided by 4
-27
Divide -3894 by -33.
118
Calculate 4 divided by 108.
1/27
Calculate -3 divided by 595.
-3/595
Divide -23 by -1028.
23/1028
Divide -275 by 5.
-55
16994 divided by -58
-293
Divide -4 by -395.
4/395
-2525 divided by -3
2525/3
-779 divided by -4
779/4
Calculate 0 divided by 2554.
0
522 divided by -2
-261
1096 divided by -274
-4
-4510 divided by 110
-41
What is -930 divided by 186?
-5
-8005 divided by 6
-8005/6
What is -52 divided by -24?
13/6
-2924 divided by 4
-731
What is -10578 divided by 2?
-5289
-5 divided by -121
5/121
What is 935 divided by -187?
-5
-351 divided by 3
-117
Calculate 0 divided by 275.
0
Calculate 628 divided by 4.
157
What is 321 divided by 3?
107
What is 0 divided by -276?
0
-7 divided by 1499
-7/1499
Divide 605 by 6.
605/6
Divide -79 by -131.
79/131
What is -600 divided by 30?
-20
Divide -138 by -6.
23
Divide -5 by 237.
-5/237
Calculate 282 divided by -47.
-6
What is -1357 divided by -19?
1357/19
Divide -1 by 1046.
-1/1046
Calculate -388 divided by -4.
97
Calculate 484 divided by -4.
-121
What is 235 divided by 1?
235
Divide -216 by 12.
-18
What is -4 divided by -1703?
4/1703
What is -6 divided by -2312?
3/1156
-24 divided by 6
-4
-5430 divided by -362
15
What is -29 divided by 81?
-29/81
What is -4833 divided by 1611?
-3
Calculate 0 divided by -104.
0
Divide 510 by -102.
-5
What is 52 divided by 13?
4
Calculate -43 divided by -2.
43/2
Divide 300 by -30.
-10
Divide 26 by -1.
-26
What is -770 divided by 70?
-11
What is 1488 divided by 62?
24
0 divided by -100
0
Divide -19 by 11.
-19/11
What is 4772 divided by -4?
-1193
162 divided by 162
1
Divide 4 by 4.
1
Calculate -24 divided by 7.
-24/7
What is 125 divided by 25?
5
-2010 divided by -6
335
-5 divided by -156
5/156
Divide -2366 by 13.
-182
Calculate 14 divided by 4.
7/2
Divide -7 by 88.
-7/88
-1918 divided by -7
274
14 divided by -6
-7/3
-6 divided by -2236
3/1118
What is -38 divided by 19?
-2
Divide 9444 by 2.
4722
Calculate 9060 divided by 4.
2265
Calculate -175 divided by 1.
-175
Calculate -49 divided by 1.
-49
Divide -46 by -23.
2
What is -84 divided by -160?
21/40
Calculate 236 divided by -4.
-59
What is -238 divided by 2?
-119
Calculate 10 divided by 1148.
5/574
What is 22116 divided by -19?
-1164
What is 2 divided by 2852?
1/1426
What is -13 divided by -24?
13/24
Calculate -1465 divided by -2.
1465/2
Calculate -29 divided by -29.
1
Calculate -4 divided by -3117.
4/3117
Divide 6 by 98.
3/49
Divide -10152 by 376.
-27
Divide -578 by -2.
289
-798 divided by -57
14
Calculate 5 divided by -8.
-5/8
Calculate 90 divided by 10.
9
-1402 divided by 701
-2
Calculate -214 divided by 5.
-214/5
Calculate 99 divided by 1.
99
What is 52886 divided by -2?
-26443
Divide 2778 by -1389.
-2
Divide 284 by -71.
-4
80 divided by 40
2
Divide -69 by -6.
23/2
Divide -663 by -17.
39
152 divided by 7
152/7
0 divided by -34
0
What is 8325 divided by -5?
-1665
Calculate -23 divided by 8.
-23/8
Calculate 55 divided by -55.
-1
What is -7 divided by 7?
-1
Divide 220 by 28.
55/7
Divide 3 by -90.
-1/30
Divide -856 by -7.
856/7
What is -748 divided by 374?
-2
What is 31 divided by 13?
31/13
Divide -1356 by -4.
339
Divide 715 by -55.
-13
Divide -678 by 2.
-339
756 divided by -14
-54
Divide -5 by 689.
-5/689
Divide 2304 by 48.
48
Calculate -6 divided by -457.
6/457
Calculate 20 divided by -2.
-10
-32 divided by 166
-16/83
60 divided by -12
-5
What is 313 divided by 1?
313
-1219 divided by -1
1219
What is 21816 divided by -216?
-101
Calculate 10962 divided by -4.
-5481/2
Divide 3 by -1959.
-1/653
Divide -256 by -6.
128/3
Calculate 144 divided by 2.
72
Calculate -27 divided by -3.
9
Calculate -10 divided by -198.
5/99
What is 208 divided by 8?
26
Calculate -2 divided by -54.
1/27
Divide -246 by 3.
-82
2634 divided by 3
878
What is 164 divided by -41?
-4
Calculate 93 divided by -2.
-93/2
Calculate -7128 divided by -1.
7128
-4 divided by 511
-4/511
Divide -477 by 53.
-9
-7 divided by 178
-7/178
Calculate 4 divided by -583.
-4/583
-1454 divided by -1
1454
What is -320 divided by -13?
320/13
Calculate 1 divided by 162.
1/162
What is -36 divided by 4?
-9
Calculate -1463 divided by -77.
19
Calculate 7592
|
{
"pile_set_name": "DM Mathematics"
}
|
t - 116. Give p(7).
-4
Let b(s) = s + 8. Give b(9).
17
Let g(j) = j - 29. Calculate g(6).
-23
Let t(q) = 7*q + 44. Determine t(-18).
-82
Let q(c) = c**3 + 26*c**2 + 91*c + 37. What is q(-22)?
-29
Let x(a) = 23*a - 121. Calculate x(9).
86
Let c(b) = -b**2 - 3*b + 1. Determine c(-3).
1
Let f(l) = -3*l + 16. Calculate f(13).
-23
Let z(s) = 15*s + 7. What is z(3)?
52
Let s(k) = k**2 + 9*k - 10. Determine s(-8).
-18
Let a(k) = 20*k - 6. Give a(-2).
-46
Let h(k) = 6*k - 297. What is h(54)?
27
Let t(g) = 4*g - 18. Calculate t(-2).
-26
Let c(g) = -g**3 + 4*g + 1. Calculate c(0).
1
Let h(x) = 5*x**3 + 2*x**2 + 3*x + 1. Calculate h(-1).
-5
Let d(c) = c**3 - 7*c**2 - 7*c + 14. What is d(7)?
-35
Let a(d) = -d**2 + 20*d + 23. What is a(21)?
2
Let t(d) = -d. What is t(-3)?
3
Let k(p) = -4*p**3 - 162*p**2 - 80*p + 1. Give k(-40).
1
Let c(w) = w**2 + 28*w + 31. Give c(-27).
4
Let k(b) = -6*b**3 + 4*b**2 - 2*b - 2. Calculate k(2).
-38
Let m(r) = r**3 + 11*r**2 + 3*r + 2. Determine m(-11).
-31
Let b(v) = v**3 - 12*v**2 - 11*v - 18. Give b(13).
8
Let m(r) = 2*r**2 + 8*r - 18. Calculate m(-6).
6
Let s(n) = n**3 + 6*n**2 - 8*n - 6. What is s(-4)?
58
Let r(y) = -y**3 - 11*y**2 - 14*y - 7. Determine r(-10).
33
Let k(r) = 2*r**2 + 3*r + 1. Determine k(1).
6
Let y(j) = 10*j + 82. Determine y(-8).
2
Let x(y) = 2*y**3 + 6*y**2 - 6*y + 2. Calculate x(-5).
-68
Let f(n) = -n**2 - 7*n + 25. Determine f(-10).
-5
Let g(h) = 2*h + 66. Calculate g(-27).
12
Let p(l) = l**3 - 6*l**2 - 2*l + 1. Give p(6).
-11
Let h(u) = 3*u**2 - 32*u + 6. What is h(10)?
-14
Let g(j) = 2*j**3 + 9*j**2 + 3*j + 9. Calculate g(-4).
13
Let b(q) = -13*q - 293. Calculate b(-22).
-7
Let i(a) = -a**3 - 4*a**2 - 8*a - 33. What is i(-4)?
-1
Let a(g) = -60*g - 10. Calculate a(-3).
170
Let j(l) = 4*l - 17. Determine j(9).
19
Let p(t) = 7*t - 1. What is p(0)?
-1
Let o(y) = 7*y**3 + 1. Determine o(1).
8
Let q(s) = s**3 - 6*s**2 + 7*s + 6. What is q(4)?
2
Let h(v) = v**3 + 8*v**2 + 13*v - 8. Calculate h(-7).
-50
Let k(z) = -11*z + 1. Determine k(2).
-21
Let v(q) = 13*q + 62. Give v(-10).
-68
Let y(i) = i**3 + 16*i**2 + 7. Determine y(-16).
7
Let p(o) = o**2 + 8*o + 26. What is p(-7)?
19
Let c(t) = 22*t + 1. Calculate c(1).
23
Let z(l) = -l**3 + l**2 - 2*l + 13. Calculate z(3).
-11
Let f(b) = 2*b**2 + 3*b - 3. What is f(6)?
87
Let u(z) = -z**3 - 5*z**2 + 6*z - 4. Determine u(-6).
-4
Let w(t) = 40*t - 5. Calculate w(1).
35
Let l(r) = -r**3 + 4*r**2 + 7*r + 3. Calculate l(5).
13
Let h(k) = 19*k - 34. Calculate h(6).
80
Let l(c) = -3*c**2 + c + 19. Calculate l(-3).
-11
Let t(n) = n**2 + 15*n - 19. Calculate t(-13).
-45
Let y(j) = -12*j**3 + 5*j**2 + 7*j + 5. Determine y(-2).
107
Let z(k) = -k**3 + 19*k**2 - 15*k - 49. What is z(18)?
5
Let r(z) = z**3 - 6*z**2 - 11*z + 22. Calculate r(7).
-6
Let b(j) = 13*j - 3. Give b(2).
23
Let j(q) = -8*q + 272. Calculate j(34).
0
Let w(k) = -k**2 - 7*k + 1. What is w(-11)?
-43
Let z(x) = 9*x + 23. Determine z(-6).
-31
Let s(n) = n**2 - 10*n - 12. Calculate s(11).
-1
Let t(m) = m**2 - 4. What is t(-5)?
21
Let j(r) = -2*r**3 - 38*r**2 - 35*r + 17. What is j(-18)?
-1
Let s(g) = g**3 + 5*g**2 + 2. Give s(-5).
2
Let t(h) = 2*h**2 - 30*h + 6. Determine t(14).
-22
Let x(p) = p**2 + 7*p + 15. What is x(-6)?
9
Let h(v) = -v**2 + 2*v + 8. Determine h(5).
-7
Let n(r) = 112*r - 456. What is n(4)?
-8
Let q(b) = 10*b + 106. Calculate q(-11).
-4
Let p(m) = m**3 - 12*m**2 + 12*m - 9. Calculate p(11).
2
Let q(h) = -h**3 + 43*h**2 - 46*h + 176. Determine q(42).
8
Let f(o) = 25*o + 57. Determine f(-2).
7
Let b(y) = y**2 - 4*y. What is b(4)?
0
Let r(n) = n**2 - 4*n - 2. Give r(3).
-5
Let t(q) = -q**3 + 7*q**2 - 13*q + 5. Calculate t(5).
-10
Let v(s) = -10*s - 17. Determine v(-4).
23
Let o(q) = q**3 - 3*q**2 + 2*q + 1. Give o(3).
7
Let k(h) = h**2 + 11*h - 96. Give k(-16).
-16
Let n
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4*c, w*c - 9 = -3*x + 2*c. Let i(f) = 1 - 4*f - f - 3*f**2 + x*f**2 - f**2. Determine i(-6).
-5
Let j(y) be the first derivative of -y**5/60 + 7*y**4/24 + 4*y**3/3 - 3*y**2 - 30. Let b(s) be the second derivative of j(s). What is b(6)?
14
Let q(v) = -6*v**3 + 8*v**2 + v - 8. Let k(i) = -i**3 + i**2 - 1. Suppose 10*m - 35 = 3*m. Let t(f) = m*k(f) - q(f). Let s = 7 + -4. Determine t(s).
0
Let m(o) = -19*o + 28. Let p(d) = -7*d + 14. Let k(f) = 2*m(f) - 5*p(f). What is k(-7)?
7
Let u(w) = 16*w**2 + 6*w + 56. Let v be -1 - 20/(-5)*(-2)/8. Let r(j) = -3*j**2 - j - 11. Let x(d) = v*u(d) - 11*r(d). Give x(0).
9
Suppose 0 = -4*n + 149 + 35. Let z(p) = -n + p**2 + 22 - 5*p + 16. Suppose -2 = l - 2*w, 4 = 3*l - l - 2*w. What is z(l)?
-2
Suppose 17 - 101 = 3*b. Let i = b + 20. Let c(t) = 5*t**2 - 3*t + 3. Let k(r) = 2*r**2 - r + 1. Let m(u) = i*k(u) + 3*c(u). Calculate m(-4).
-11
Let o(b) = -2*b + 4. Let m = -1854 - -1862. Determine o(m).
-12
Let z(p) = -26*p - 36. Let c(j) = -10*j - 18. Let i(k) = 5*c(k) - 2*z(k). Give i(6).
-6
Let t(l) be the first derivative of l**4/4 + 4*l**3/3 - l**2 + l - 2. Let k(b) be the first derivative of 3*b**2/2 + 23*b - 9. Let s be k(-9). Give t(s).
9
Let p(n) = n**3 - 10*n**2 + 7*n + 12. Let q = 216 - 207. What is p(q)?
-6
Suppose -5*o - 15 = -0*o. Let u(w) be the second derivative of -w**4/12 - w**3/3 + 2*w**2 + w. Let a be u(o). Let r(h) = 9*h + 1. Determine r(a).
10
Let t(i) = i**2 - i - 1. Let q(p) = -2*p + 3. Let a be q(-6). Let d(k) = -4*k + 3*k + a*k**2 - 13*k**2 - 2. Let h(y) = -d(y) + t(y). What is h(1)?
0
Let u(g) = g**3 + 6*g**2 + 7*g + 5. Let w be u(-5). Let i(q) = -7 + 1767*q**2 - 1766*q**2 + 3*q + 2*q. What is i(w)?
-7
Suppose l - x = -2, -12 = l + 2*l - 5*x. Let s(v) be the first derivative of -2*v**2 - v - 64. Determine s(l).
-5
Let w = -1 - 2. Suppose p + 15 = 3*y, 3*p = -y + 8*p - 9. Let u(l) = 0 - 4 + y - l + 3*l. Give u(w).
-4
Let w(p) = -p**3 + 4*p**2 + 6*p + 1. Let c be w(5). Let h be c*(-8 + 3)/5. Let b be 620/(-120) - 1/h. Let n(z) = z - 2. Calculate n(b).
-7
Let k(w) be the first derivative of -6*w**2 + w + 2. Suppose 0 = -o + 2*j + 11, o - 2*o + 4*j = -21. Calculate k(o).
-11
Suppose t + 3*f = -9, -27 = 3*t - 5*t + 3*f. Let u(m) = 17*m**2 - 3*m + 13. Let b(d) = -21*d**2 + 2*d - 14. Let l(r) = 4*b(r) + 5*u(r). What is l(t)?
3
Let h(g) = g**2 + g + 1. Let u(x) = -5*x**3 + 3*x**3 + 5 + 133*x**2 + 7*x + 3*x**3 - 125*x**2. Let n(v) = 4*h(v) - u(v). Determine n(-3).
-1
Let m(v) be the first derivative of v**3/3 - 7*v**2/2 + 6*v - 772. Let j(a) = -2*a**2 - 3*a - 3. Let i be j(-2). Let y = i + 9. Give m(y).
-6
Let t be ((-4)/(-6))/(8/276). Suppose q - 12 = -3*q, 4*m - t = -5*q. Let h(v) = -8 + 9*v + 5 - 3*v - v**3 + 8*v**2 - 3*v**m. Give h(6).
-3
Let t = -163 + 169. Let w(m) = m**3 - 6*m**2 - 2*m + 9. Give w(t).
-3
Let q(a) = 12*a**2 - 4*a + 4. Suppose -5*j + 5 = 0, -b - 3*j - 1 = -6. Calculate q(b).
44
Let s(l) = l**3 - l**2 - l + 16. Let n = 307 - 307. Calculate s(n).
16
Let u(x) = x**3 + 7*x**2 + x - 7. Let l be (-1 + 72/(-168))/((-2)/(-7)). Calculate u(l).
38
Suppose 0*o + 4*u + 24 = -4*o, -5*o = 2*u + 27. Let l be ((-11)/15 - 2/o)*-3. Let g(c) be the second derivative of 2*c**5/5 - c**2/2 + 5*c. What is g(l)?
7
Let o(r) be the first derivative of r**3/3 + 8*r + 11. Determine o(8).
72
Let b(c) = 4*c + 5*c**2 + c**2 - 3*c**2 - 2*c**2 + 3. Let p(h) = -h**2 + h + 3. Let a be p(3). Determine b(a).
0
Let o(f) = -f**2 + 11*f - 3. Let q be ((-148)/9)/(-2) - (-216)/(-972). Determine o(q).
21
Let m(i) = 8*i - 3. Let j(o) = -15*o + 7. Let b(q) = 6*j(q) + 11*m(q). Let r(c) = c - 4. Let d(t) = 4*b(t) + 9*r(t). Calculate d(-7).
-7
Let b(l) = -l**2 - 7*l + 20. Let h be b(-9). Let r be 12/3 - (-1 + h). Let t(u) = u**2 - 3. What is t(r)?
6
Let a(j) = -j**3 - 7*j**2 - 5*j + 2. Let r be 6*(2/4 - 1)*-2. Suppose -r = f + 3*c + 2*c, 3*f + 18 = -2*c. What is a(f)?
-
|
{
"pile_set_name": "DM Mathematics"
}
|
the third derivative of -21688*l**2*z**3 - 232*l**2 - 13*z**3 - 4*z**2 + 320*z - 1 wrt z.
-130128*l**2 - 78
What is the third derivative of -19292*n**5 + 131*n**3 - 27728*n**2 - 804*n?
-1157520*n**2 + 786
Differentiate 21431042*c**3*t**3 + 319*c**3 - 16092*c**2 wrt t.
64293126*c**3*t**2
What is the second derivative of -4730*c*v**4 + 3*c*v**3 - 93*c*v**2 + 939*c*v - 23*c + 8 wrt v?
-56760*c*v**2 + 18*c*v - 186*c
Find the third derivative of -1509*c*t**4 - c*t**3 + 2*c*t**2 - 4*c*t - 219365*c + 9646*t**4 + 1 wrt t.
-36216*c*t - 6*c + 231504*t
Find the third derivative of 230293*k**5 - 5*k**4 + k**3 + k**2 - 186746*k - 1 wrt k.
13817580*k**2 - 120*k + 6
What is the derivative of 108*c**2*m*r**2 - 1404459*c**2*m*r - 553693*c**2*r - c*r**2 - 30*r**2 wrt m?
108*c**2*r**2 - 1404459*c**2*r
Find the third derivative of -12649173*p**6 + 3463644*p**2 + 2*p - 2.
-1517900760*p**3
What is the derivative of -60550*i**3 - 414*i**2 - 4*i + 1466427089 wrt i?
-181650*i**2 - 828*i - 4
What is the second derivative of -600241024*h**5 - 565292232*h?
-12004820480*h**3
What is the second derivative of 35*m**3*u**2 - 151*m**3*u + m**2*u**2 - 31*m**2*u + 2*m**2 - m*u**2 + 4856*u**2 + 124*u - 1 wrt u?
70*m**3 + 2*m**2 - 2*m + 9712
What is the second derivative of -7628629*s**3*v - s**2*v + 240283*s*v + v + 13 wrt s?
-45771774*s*v - 2*v
What is the third derivative of 510*z**5 - 1467*z**3 - 4*z**2 - 927095?
30600*z**2 - 8802
What is the second derivative of -22513*f**2*s**2 - 4*f**2*s - 2*f**2 - 2*f*s + 15*f - 890*s**3 + s**2 + 671*s - 2 wrt s?
-45026*f**2 - 5340*s + 2
What is the second derivative of 1489728*f**2*i*s**2 - 37537*f**2*i*s + 3*f*s + 18*i*s**2 wrt s?
2979456*f**2*i + 36*i
Differentiate 14946165*m**4 - 15776104 wrt m.
59784660*m**3
What is the second derivative of -244*k**3*y**3 + 1530*k**2*y**2 + 2*k*y + 182*k - y**3 - 31 wrt k?
-1464*k*y**3 + 3060*y**2
What is the second derivative of -3177*g**3*j**2 + 138*g**2*j**3 + 3*g - 17*j**3 - 7879 wrt g?
-19062*g*j**2 + 276*j**3
Differentiate 182860*r**3 + 447*r**2 - 674093617 wrt r.
548580*r**2 + 894*r
Find the second derivative of 307632907*d**5 - 2*d - 11774101 wrt d.
6152658140*d**3
What is the second derivative of 187572095*m**2 + 20701*m + 4670 wrt m?
375144190
What is the second derivative of 19*g**3*l + 1394*g**3 + 33*g**2*l + 5*g**2 + 1067*g*l - 3*g + 7*l - 50 wrt g?
114*g*l + 8364*g + 66*l + 10
What is the first derivative of -143254*t**4 - 34*t - 710382?
-573016*t**3 - 34
Find the second derivative of -8*c*o**4 + 33410*c*o**2 - 30*c*o + o**3 + 56269 wrt o.
-96*c*o**2 + 66820*c + 6*o
What is the second derivative of 4163223*r**3 + 9539137*r?
24979338*r
Differentiate s**3 + 13086969*s**2 + 45358923 wrt s.
3*s**2 + 26173938*s
What is the second derivative of -4481252*o**4 + 702507*o wrt o?
-53775024*o**2
What is the third derivative of -9*a**4*q - 159*a**4 + 39*a**3*q + 4*a**2 + 3*a - 88*q - 99 wrt a?
-216*a*q - 3816*a + 234*q
What is the third derivative of 385109666*t**4 + 364193999*t**2 wrt t?
9242631984*t
Find the second derivative of -14768451*w**2 + 19433*w + 212.
-29536902
Find the third derivative of 111*o**6 + 474916*o**3 + 363561644*o**2 wrt o.
13320*o**3 + 2849496
Differentiate k**3*z + 46*k**3 - 82701*k*z + 25341529*z with respect to k.
3*k**2*z + 138*k**2 - 82701*z
What is the derivative of -2655772*d**4 + 39234030?
-10623088*d**3
Find the second derivative of -59471481*y**2 - 164029*y - 79.
-118942962
What is the second derivative of 7*b**3 - 23748702*b**2 - 428330702*b wrt b?
42*b - 47497404
What is the derivative of 13317520*n**2*s + 3670454*n**2 wrt s?
13317520*n**2
What is the first derivative of 8*k**3 - 896613*k + 104547337?
24*k**2 - 896613
Differentiate -i*v**3 + 14*i*v**2 - 2*i*v - 120281*i - 158744300*v**3 wrt i.
-v**3 + 14*v**2 - 2*v - 120281
What is the first derivative of 1412*t**2 + 993*t - 1696003?
2824*t + 993
Find the third derivative of 775*h**5 + 3*h**4 - 2351*h**3 - 87*h**2 - 19*h - 532.
46500*h**2 + 72*h - 14106
Find the first derivative of -30*g**4 - 23032*g**2 + 13118608 wrt g.
-120*g**3 - 46064*g
What is the first derivative of -63637*v**2 - 140*v + 210776690 wrt v?
-127274*v - 140
Find the third derivative of 3*g**6 + 88974383*g**5 + 1054987616*g**2.
360*g**3 + 5338462980*g**2
Differentiate -67*o**2*s*z - 6*o**2*s + 3006*o*s**2*z - 277556*o*s**2 wrt z.
-67*o**2*s + 3006*o*s**2
Find the second derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
5, -7*m + 12*m = -5*k - 5075025. What is m rounded to the nearest 100000?
-1000000
Let d = 131.7 + -20.7. Let g = -110.9999435 + d. What is g rounded to 5 decimal places?
0.00006
Let g = -143.8662461101 + -0.1337756899. Let k = -100 + -44. Let r = k - g. What is r rounded to six decimal places?
0.000022
Let y = 0.34119 + -0.3226. What is y rounded to three dps?
0.019
Let l(r) = -r**3 + 4*r**2 + r - 3. Let y(m) = m**2 + 3*m - 6. Let z be y(-5). Let c be l(z). Let g be 103*3 + 5/c. Round g to the nearest ten.
310
Let k = 1764 + -783. Let y = 980.999999061 - k. What is y rounded to seven dps?
-0.0000009
Let s(q) be the first derivative of -225003*q**2/2 + 3*q + 3. Suppose -25 = 2*y - 7*y, 4*y - 24 = -4*m. Let o be s(m). Round o to the nearest 10000.
-230000
Suppose 2*m = 31*m - 1189. Suppose -m = 5*y + 219. Round y to the nearest 100.
-100
Let t = 585 + -452. Let g = t - 133.194. What is g rounded to 0 dps?
0
Let u = -279.483 - -0.483. Let b = -239.2 - u. What is b rounded to the nearest ten?
40
Let i(u) = -59 - 19 + 2889523*u + 11 - 158 + 1043302*u. Let s be i(-7). Round s to the nearest 1000000.
-28000000
Suppose -2*n + 21*d = 18*d - 795, 0 = 3*n + 5*d - 1164. Let o be n/((-12)/(-28)*7). What is o rounded to the nearest ten?
130
Let m = -384.99981214 - -385. What is m rounded to 5 decimal places?
0.00019
Let a = 3715.408 - 3733. Round a to zero decimal places.
-18
Let n = -240554561.10000161 - -240554590. Let r = -28.9 + n. What is r rounded to 7 dps?
-0.0000016
Suppose 0 = -4*s, 458*k - 462*k + 3*s = 1807200. Round k to the nearest 100000.
-500000
Let a = 413728.0115 + -413567. Let k = 161 - a. Round k to 2 dps.
-0.01
Let p = -708 - -1220. Let l = -511.99792 + p. What is l rounded to four decimal places?
0.0021
Let d = 793 + -1326. Let q = 116328.266121 - 116861.2659. Let t = d - q. Round t to five decimal places.
-0.00022
Let c = -126193.3700176 + 126193. Let z = c - -0.37. Round z to five dps.
-0.00002
Let y = -3474793788 + 3474793610.2265829. Let d = -83.773427 - y. Let c = d + -94. Round c to 6 dps.
-0.00001
Let s = 4210 + -4209.99990215. Round s to five decimal places.
0.0001
Let r = -17932 + 17946.167. What is r rounded to one dp?
14.2
Let x = 1311.3 + -1137. Let r = x + -156. Let h = r - 17. What is h rounded to the nearest integer?
1
Let j = -0.092897217 + 0.159397916. Let f = -0.0665 + j. What is f rounded to 7 decimal places?
0.0000007
Let y = -29498.5829 + 5.5829. Let v = -29493.031682 - y. Let d = v - -0.032. Round d to 4 decimal places.
0.0003
Let f = -3418 + 3388.78. Let s = -22 - f. Round s to zero dps.
7
Let d = -105841.13012 + 106090.14. Let z = d - 249. What is z rounded to three decimal places?
0.01
Let n be (-7048)/(-14) - 16/(-28). What is n rounded to the nearest one thousand?
1000
Let x = 21069738 + -8889738. Suppose 19*j + x = 20*j. Round j to the nearest one million.
12000000
Let z = -2587.5 - -2585.9051. What is z rounded to 1 decimal place?
-1.6
Let n = 2969.7761 - 2970. Round n to 2 dps.
-0.22
Let o = -38317.0049566 - -38317. What is o rounded to three decimal places?
-0.005
Let a = 2.4674 + 1457.8326. What is a rounded to the nearest ten?
1460
Suppose -6083199 = -128*x + 1966721. What is x rounded to the nearest ten thousand?
60000
Let t = 34654136391.999669 - 35356547523. Let j = 702411498 + t. Let z = 367 - j. Round z to 4 dps.
0.0003
Let l = 765 + -1217. Let u = -449.11 - l. Round u to the nearest integer.
3
Suppose -5*w + 10 = -0*w, x - 4*w - 92 = 0. Suppose -109*p + x*p = 81900000. What is p rounded to the nearest one million?
-9000000
Let z = 39129.60016 + -39127. Let v = 715 + -717.6. Let u = z + v. Round u to 4 dps.
0.0002
Let t = -118 - -66. Let b = t - -162. Let p = b - 110.029. Round p to one dp.
0
Let i = -144 - -146. Suppose 0 = 4*w - i*w - 5*f - 1200, 0 = 3*w - 4*f - 1786. What is w rounded to the nearest one hundred?
600
Let t = 94.1 + -5.1. Let u = -7 + t. Let i = u + -82.0000158. What is i rounded to 6 decimal places?
-0.000016
Let o(i) = i**3 - 18*i**2 - 3*i - 22. Let y be o(-18). Let u = y + 25531. Suppose 5*l + g = -u, -l - 3*g + 15 = 2792. Round l to the nearest one thousand.
-3000
Let r = 36432 - 33938.1. Let x = 2350 - r. Round x to the nearest ten.
-140
Let h = 1428113046 + -1428113050.975337672. Let n = 0.024666928 - h. Let p = n + -5. What is p rounded to 6 dps?
0.000005
Let j be ((-984)/36)/(((-20)/(-5472))/(-5)). What is j rounded to the nearest 1000?
37000
Suppose -219*k + 214*k + u - 73201 = 0, -3*k - u - 43919 = 0. What is k rounded to the nearest 1000?
-15000
Let u = 1366.9557 - 1367. Round u to 1 decimal place.
0
Let r = 11.14 - -719.86. Let u = -690.9 + r. What is u rounded to 0 decimal places?
40
Let f = -11.411 + 11.410994701. Round f to 6 dps.
-0.000005
Let n = -54078.7117 - -54184.8. Let t = n - 106. Round t to three decimal places.
0.088
Let d be 2*((-21)/(-6))/7. Let z(y) = -46*y**3 - 430*y**3 - y + 0 + 3*y + d - 2*y**2. Let g be z(1). What is g rounded to the nearest one hundred?
-500
Let p = -9120.23421708 + 10187.2342257. Let o =
|
{
"pile_set_name": "DM Mathematics"
}
|
terms in 3*j**2 - 20*j**3 - 8*j**2 + 5*j**2.
-20*j**3
Collect the terms in 35*m + 34*m + 60*m - 128*m.
m
Collect the terms in -10*n**2 - 270*n + 270*n.
-10*n**2
Collect the terms in -2998*b**2 + 1129*b**2 - 1184*b**2.
-3053*b**2
Collect the terms in 2*l + 27739 - 27739.
2*l
Collect the terms in -10*r**3 - 3*r**3 + 5*r**3 - r**3.
-9*r**3
Collect the terms in 486341 + f + 486341 - 972682.
f
Collect the terms in 6*n**2 + 482 - 2*n + 2*n - 482.
6*n**2
Collect the terms in -32 - 38 + 70 - 10*z.
-10*z
Collect the terms in -4 + 20*c - 7 + 23 - 10.
20*c + 2
Collect the terms in -10 - 15*m + 2 + 8.
-15*m
Collect the terms in 25*y + 35*y + 32*y - 118*y + 30*y.
4*y
Collect the terms in -58 - 25 + y + 152 - 54 - 50.
y - 35
Collect the terms in 0*g**2 - 1752 + 0*g**2 - g**3.
-g**3 - 1752
Collect the terms in -11*i**3 - 15*i**3 - 62*i**3 + i**3.
-87*i**3
Collect the terms in -159*g**3 + 460*g**3 - 140*g**3 - 158*g**3.
3*g**3
Collect the terms in -v**2 + 18954 - 18954.
-v**2
Collect the terms in -15*v**3 - 46*v**3 + 3*v**3.
-58*v**3
Collect the terms in v - 18*v**2 - 2*v**2 - v.
-20*v**2
Collect the terms in 143*f - 45*f - 43*f - 49*f.
6*f
Collect the terms in 9*n - 8*n + 6*n + 5*n.
12*n
Collect the terms in -2 + 0 - 13*m - 1 + 4.
-13*m + 1
Collect the terms in -2 + 8690*o**2 + 2 + 0 - 8691*o**2.
-o**2
Collect the terms in 12*m - 12*m - 60 + 2*m**2.
2*m**2 - 60
Collect the terms in -9*p + 120*p**2 - 9*p + 20*p.
120*p**2 + 2*p
Collect the terms in 0*r**3 + 799*r**2 - 799*r**2 + 4*r**3.
4*r**3
Collect the terms in 24*g - 10*g - 30*g.
-16*g
Collect the terms in 28 + 33 - 61 + 8*o**2 - 2*o**2.
6*o**2
Collect the terms in -b**2 - 129 + 129.
-b**2
Collect the terms in 165*h - 85*h + 8*h**2 - 80*h - 20*h**2.
-12*h**2
Collect the terms in 5*j**3 - 76*j + 76*j.
5*j**3
Collect the terms in 0 - 7 - 9 + 124*d.
124*d - 16
Collect the terms in 27*o**2 + 26*o**2 - 5 - 8*o**2.
45*o**2 - 5
Collect the terms in -6*p + 8*p - 4*p + 3*p.
p
Collect the terms in 58*p**2 + 0*p**3 - 58*p**2 - 2*p**3 - 3*p**3.
-5*p**3
Collect the terms in -7*i + 6*i + 7*i + 6*i.
12*i
Collect the terms in 3*j**3 - 316*j + 316*j.
3*j**3
Collect the terms in 0*g**2 - g**2 + 8*g**2 + 5*g**2.
12*g**2
Collect the terms in -2 + 6*a - 23*a - 4*a - 4*a.
-25*a - 2
Collect the terms in -427*r**2 + 56 - 56 - 5*r**3 + 427*r**2.
-5*r**3
Collect the terms in 2 - 17*t**3 + 12*t**3 - 2.
-5*t**3
Collect the terms in 1671 + 2*h**3 - 1671.
2*h**3
Collect the terms in -2*w**3 - w**3 - 5*w**3 - 70*w.
-8*w**3 - 70*w
Collect the terms in -62*c**3 - 205*c**3 - 581*c**3.
-848*c**3
Collect the terms in 192*c**3 - 22943 - 193*c**3 + 22943.
-c**3
Collect the terms in 12*f - f + 5*f + 8*f.
24*f
Collect the terms in -83*z**2 - 119*z**2 + 17*z**2.
-185*z**2
Collect the terms in 81*g**3 - 48*g**3 - 43*g**3.
-10*g**3
Collect the terms in -2*p**2 + 20*p + 4*p**2 - 20*p.
2*p**2
Collect the terms in -3*k + 1729*k**2 + 3*k - 1731*k**2.
-2*k**2
Collect the terms in 2*j**2 - 5*j**2 - 16*j**2.
-19*j**2
Collect the terms in 3*z - 97*z**2 + 125*z**2 - 3*z.
28*z**2
Collect the terms in -639 - 2*c**2 + 410 + 229.
-2*c**2
Collect the terms in -97 + 2*f + 10 - 38 + 0*f.
2*f - 125
Collect the terms in 20*s**2 - 38*s + 12*s**2 + 36*s.
32*s**2 - 2*s
Collect the terms in o + o**3 + 5*o - 4*o**3.
-3*o**3 + 6*o
Collect the terms in -23*y**3 + 2 - 2 + 35*y**3 - 17*y**3.
-5*y**3
Collect the terms in -82*r**2 + 4*r**3 + 82*r**2.
4*r**3
Collect the terms in 22*c**3 - 10*c**3 + 18*c**3.
30*c**3
Collect the terms in 17*o**3 - 8*o**3 + 1 - 11*o - 1.
9*o**3 - 11*o
Collect the terms in 0*n**2 + 57*n - 7 + 7 + n**2.
n**2 + 57*n
Collect the terms in 12*g**2 + 21*g - 48*g + 27*g - 10*g**2.
2*g**2
Collect the terms in -9*s + 1 - 1 + 4*s.
-5*s
Collect the terms in -6 + 26 + 4*c**2 - 7 - 14.
4*c**2 - 1
Collect the terms in -1 + 6 + 5*q - 6*q + 8.
-q + 13
Collect the terms in -40*q**3 + 85*q**3 - 41*q**3.
4*q**3
Collect the terms in 0*u**2 + u**2 + 13 + 3*u**2 - u**2.
3*u**2 + 13
Collect the terms in 3*x - 7*x - 4*x - 4*x.
-12*x
Collect the terms in -22*l**2 - 27*l**2 + 40*l**2.
-9*l**2
Collect the terms in -1512 + 1512 - k.
-k
Collect the terms in -30910 + 5*g + 30910 - 4*g.
g
Collect the terms in -12*b +
|
{
"pile_set_name": "DM Mathematics"
}
|
32 divided by 476
107
118515 divided by -1
-118515
What is -399 divided by -9?
133/3
Divide 5 by -33087.
-5/33087
Calculate -2537 divided by -14.
2537/14
What is 1176213 divided by 3?
392071
38617 divided by 38617
1
What is 1171500 divided by -6?
-195250
Divide 126437 by -1.
-126437
What is 0 divided by 49221?
0
-45120 divided by 376
-120
Calculate -151500 divided by -15.
10100
Calculate -22229 divided by -4.
22229/4
Calculate 809088 divided by -24.
-33712
69633 divided by -2579
-27
Divide 331128 by 1533.
216
What is 66080 divided by -1652?
-40
Divide 13 by -3342.
-13/3342
1 divided by -120096
-1/120096
What is -1119005 divided by -223801?
5
Calculate -146484 divided by 18.
-8138
Divide -1918682 by -461.
4162
Divide 14029 by 14029.
1
Calculate -1767147 divided by -589049.
3
What is -39116 divided by -3556?
11
Calculate 150051 divided by -33.
-4547
What is 6282 divided by 7?
6282/7
-17080 divided by -1708
10
Calculate -1252120 divided by 92.
-13610
16590 divided by 105
158
What is 602300 divided by 4?
150575
What is 1 divided by -45065?
-1/45065
-139472 divided by -69736
2
65 divided by -53
-65/53
-3137 divided by -1344
3137/1344
-247 divided by 95
-13/5
What is 348150 divided by -34815?
-10
Divide 3 by 92695.
3/92695
Divide 626 by 3.
626/3
-35215 divided by 1
-35215
What is -730290 divided by 121715?
-6
Divide 63152 by -8.
-7894
Calculate -17339 divided by -1.
17339
What is 34119 divided by 223?
153
Calculate 51473 divided by 3.
51473/3
What is -50274 divided by -126?
399
Calculate 435949 divided by 4.
435949/4
What is 23898 divided by -3414?
-7
What is 2 divided by 9315?
2/9315
What is 11040 divided by -48?
-230
Calculate 257 divided by 10806.
257/10806
Divide -482816 by -11776.
41
-4718060 divided by 4
-1179515
0 divided by 34767
0
Calculate 3007 divided by -790.
-3007/790
Divide 29326 by 75.
29326/75
56655 divided by -1
-56655
Calculate -11840 divided by -74.
160
-5847948 divided by -23967
244
-2057 divided by -242
17/2
Divide -3677536 by -8.
459692
-13 divided by -1270
13/1270
60510 divided by 6
10085
Calculate -21204 divided by 684.
-31
Calculate 498632 divided by 397.
1256
What is 3925680 divided by -220?
-17844
Calculate -741240 divided by -24708.
30
Calculate -2691870 divided by -448645.
6
Calculate 1568420 divided by -156842.
-10
-2 divided by -20149
2/20149
Divide -39 by 17468.
-39/17468
What is -154 divided by -669?
154/669
Divide 582960 by 4164.
140
What is -13 divided by -754?
1/58
116304 divided by -3
-38768
Divide 2388 by 738.
398/123
What is -1793 divided by 10?
-1793/10
What is -357 divided by 5?
-357/5
Divide 119603 by -83.
-1441
1206548 divided by -7
-172364
-20 divided by -451
20/451
Divide 0 by 79525.
0
26700 divided by 5340
5
What is 393 divided by -635?
-393/635
What is -155122 divided by 242?
-641
Calculate 1896426 divided by -126.
-15051
What is -114576 divided by -3?
38192
Divide 101 by -3272.
-101/3272
Divide 42 by 602.
3/43
-203752 divided by 8
-25469
132003 divided by -3
-44001
Divide 28434 by -4.
-14217/2
What is 6877 divided by -2?
-6877/2
Divide 983 by 2308.
983/2308
What is -4 divided by 221885?
-4/221885
Divide 4 by -23206.
-2/11603
Calculate -1 divided by -2326.
1/2326
-38646 divided by 19323
-2
Calculate -69600 divided by 24.
-2900
What is -67021 divided by 4?
-67021/4
What is 50364 divided by -6?
-8394
Divide -4170255 by -5.
834051
Calculate -24128 divided by 3016.
-8
What is 272091 divided by -90697?
-3
47264 divided by -5908
-8
Divide -234570 by 10.
-23457
Divide 7384 by -330.
-3692/165
Calculate 31 divided by -3201.
-31/3201
-31 divided by -949
31/949
Divide -308950 by 6.
-154475/3
What is -4587501 divided by 3?
-1529167
Divide -4 by -99903.
4/99903
Divide 339614 by -718.
-473
Calculate -6613 divided by -15.
6613/15
46452 divided by -4
-11613
Divide -2699570 by 10.
-269957
What is 26910 divided by -8970?
-3
What is -4 divided by -138595?
4/138595
Calculate -495796 divided by 35414.
-14
What is -161311 divided by 4?
-161311/4
What is -4 divided by -15545?
4/15545
Calculate 63652 divided by -1.
-63652
Calculate 9280 divided by 1160.
8
What is 97 divided by 1780?
97/1780
What is -184242 divided by 2?
-92121
-111984 divided by -6
18664
Calculate 157147 divided by -5.
-157147/5
What is 657104 divided by 4?
164276
Divide 233 by 99.
233/99
What is -3659415 divided by 10607?
-345
Calculate 15 divided by 588.
5/196
-12290 divided by 2458
-5
Divide -695520 by 8.
-86940
Calculate 1537181 divided by 3.
1537181/3
Calculate -27 divided by -80.
27/80
-224345 divided by -5
44869
Calculate 114 divided by -323.
-6/17
Calculate 21814 divided by 3.
21814/3
What is 198 divided by 318?
33/53
699798 divided by 6
116633
-4 divided by -15905
4/15905
What is -282838 divided by 103?
-2746
-480344 divided by 120086
-4
134580 divided by 4486
30
Divide -2814 by 5.
-2814/5
Divide -72 by -4195.
72/4195
858568 divided by -17
-50504
What is 5748 divided by -21?
-1916/7
18007824 divided by -4
-4501956
Calculate -27820 divided by -535.
52
What is -15 divided by -11248?
15/11248
Divide -204066 by 7558.
-27
Divide -126930 by 10.
-12693
-8241 divided by -6
2747/2
What is 350 divided by -3503?
-350/3503
662061 divided by -1
-662061
What is -82234
|
{
"pile_set_name": "DM Mathematics"
}
|
4 + 2*f - 12 + 5/2*f**2 - 1/5*f**5 + f**3. Factor l(j).
-(j - 2)*(j + 1)**3
Factor 16/5 + 8/5*d + 1/5*d**2.
(d + 4)**2/5
Let w(x) = 2*x**2 + 1. Let c(a) = -10*a**2 - 10*a - 18. Let o(l) = c(l) + 6*w(l). Let o(t) = 0. Calculate t.
-1, 6
Suppose 10*c - 15*c = 30. Let x(u) = 43*u**2 + 22*u**3 - 8*u**2 - 17*u + 4*u**3. Let h(m) = -9*m**3 - 12*m**2 + 6*m. Let r(d) = c*x(d) - 17*h(d). Factor r(f).
-3*f**2*(f + 2)
Let f(m) = 30*m - 87. Let n be f(3). Let z(s) be the first derivative of -5 + 3*s**2 + 1/10*s**5 + 3/4*s**4 + 2*s + 13/6*s**n. Solve z(b) = 0 for b.
-2, -1
Factor -x**5 + 263*x**2 - 132*x**3 - 729 - 4*x**4 + 62*x**2 + 377*x**2 + 31*x**4 - 110*x**3 + 243*x.
-(x - 9)**3*(x - 1)*(x + 1)
Let v be -6*(6/4 + -2). Let y be (-15)/(-9) + 1/v. Factor -2*a**4 - 25*a**2 + 27*a**y + 2*a**4 - 2*a**4.
-2*a**2*(a - 1)*(a + 1)
Let f(u) be the second derivative of -16*u + 0 + 7/4*u**3 + 7/8*u**4 + 3/20*u**5 + 3/2*u**2. Let f(g) = 0. What is g?
-2, -1, -1/2
Let v be (-36)/(-112)*42 + (-13)/1. Factor w - 1/2 - v*w**2.
-(w - 1)**2/2
Let b(y) be the second derivative of 37*y - 4/9*y**3 + 0 - 1/36*y**4 + 3/2*y**2. Suppose b(g) = 0. What is g?
-9, 1
Suppose 57 - 49 = 4*o. Let v(c) be the second derivative of -1/10*c**5 + 0 + 1/6*c**4 - 1/15*c**6 + 0*c**o + c + 1/3*c**3. Find f, given that v(f) = 0.
-1, 0, 1
Let h be (1053/65 + -15)*(-1 - -6). Let y(s) be the second derivative of 2*s + 0*s**3 + 0 + 0*s**2 - 1/42*s**4 + 0*s**5 + 1/105*s**h. Solve y(i) = 0.
-1, 0, 1
Let t(i) be the second derivative of i**7/315 - 8*i**6/75 + 24*i**5/25 - 35*i. Solve t(a) = 0.
0, 12
Determine h so that 7*h**2 + 841*h - 10*h**3 + 11*h**3 - 842*h - 6 - h**4 = 0.
-2, -1, 1, 3
Let s be ((-5)/60*-1)/(15/45). Factor 0 - s*y - 1/4*y**3 - 1/2*y**2.
-y*(y + 1)**2/4
Let l(g) = g**2 - g - 1. Let q(u) = 4*u**2 - 3*u - 4. Let f = -11 - -17. Suppose -f*k + 10*k = -24. Let d(x) = k*l(x) + 2*q(x). What is s in d(s) = 0?
-1, 1
Let r(m) be the first derivative of -4/11*m - 12 + 3/11*m**2 + 0*m**3 - 1/22*m**4. Factor r(o).
-2*(o - 1)**2*(o + 2)/11
Let z be ((-2)/5)/((-18)/(-360)). Let p be 63/12 + (-6)/z. Determine l, given that -2*l**4 - 6*l**2 - 8*l + 18*l**2 + 3*l**4 - p*l**3 = 0.
0, 2
Let m = 15681 - 15679. Factor -1/2*n**m + 2*n - 2.
-(n - 2)**2/2
Factor 0 + 0*k**3 + 8/23*k**2 - 2/23*k**4 + 0*k.
-2*k**2*(k - 2)*(k + 2)/23
Let w(l) = -l**3 - 4*l**2 + 3. Suppose 0 = 3*y + 4*q, 8 = y - q + 5*q. Let v be w(y). Factor v*j + 4*j**3 + 8*j**2 - 4*j + j.
4*j**2*(j + 2)
Let c be (-58 + 58)*(-2)/6*36/48. Factor 0*i**4 + 2/9*i**5 - 2/9*i**3 + 0*i + 0 + c*i**2.
2*i**3*(i - 1)*(i + 1)/9
Suppose 4*s - 21 = w, -5*w + 39 = s + 3*s. Let j(l) = l**2 - 6*l + 3. Let t be j(6). What is g in -s*g**2 + g**4 + 9*g**2 - 4*g**2 - g**t + g**5 = 0?
-1, 0, 1
Suppose 1280*i - 115/2*i**4 - 420*i**3 + 0 - 800*i**2 - 5/2*i**5 = 0. What is i?
-8, 0, 1
Let m(b) = -b**4 + 16*b + 2 + 3*b**3 + 3*b**2 - 2*b**2 - 19*b. Let y(h) = h**4 - 6*h**3 - h**2 + 6*h - 5. Let x(z) = 5*m(z) + 2*y(z). Solve x(u) = 0.
-1, 0, 1
Suppose 15*r - 18*r**3 - 272*r**5 + 11 + 275*r**5 - 2 + 0*r**4 - 6*r**2 - 3*r**4 = 0. Calculate r.
-1, 1, 3
Let b = 445/6 + -74. Suppose 0 = -z - 3 + 5. Factor 1/6*f + b - 1/6*f**z - 1/6*f**3.
-(f - 1)*(f + 1)**2/6
Let y(m) be the third derivative of -2/21*m**3 + 0 - 2/35*m**5 - 11/84*m**4 + 6*m**2 + 3/140*m**6 + 0*m. Suppose y(p) = 0. What is p?
-1/3, 2
Let t(f) = -10*f - 188. Let r be t(-19). Factor -3/2*c**r - 9/2*c + 0.
-3*c*(c + 3)/2
Let h(i) be the third derivative of i**8/33600 - i**7/6300 + i**6/3600 - i**4/2 - 16*i**2. Let u(v) be the second derivative of h(v). Find w such that u(w) = 0.
0, 1
Let x(h) be the third derivative of -h**6/240 + 47*h**5/30 - 373*h**4/48 + 31*h**3/2 + 96*h**2. Let x(c) = 0. Calculate c.
1, 186
Let b(s) = -s. Let d(h) = -2
|
{
"pile_set_name": "DM Mathematics"
}
|
Let u be 4/3*(-3)/b. Solve 3*c - u*w + 13 = -w, k*w = -3*c - 23 for c.
-5
Let n be 10/(-4)*-3*18 + -3. Let y = n - 122. Solve 3*w - 4 = 11, y = -r + 2*w for r.
0
Let v(f) = -3*f**2 - 2*f + 24. Let s be v(0). Let d be ((-5)/20)/((-2)/s). Solve -4*h + 20 = 0, -3*g - d*h - 9 = -6*h for g.
2
Suppose -7 = -0*x + 7*x. Let n(v) = v**3 + 1. Let k be n(x). Solve 2*q - 1 = 4*r - 19, k = 4*r + 4*q - 12 for r.
4
Suppose 2*k = -4*b - 12, 0 = -3*k - k - 2*b. Let d be 1 + 4 + (1 - (k - 3)). Solve -d*h + 2*h = -3*y + 15, 0 = -h for y.
5
Suppose 5*r - 98 = -2*x - 72, -2*r = -4*x + 4. Solve 10 = -x*q - 5*u, -q - 1 - 4 = 2*u for q.
5
Let b be 18/5 + (-2 - (-21)/15). Suppose 4*z + 4*g = 36, -z + g = -b*g - 9. Solve 3*i + 1 = -3*t - 2, -z = 4*i + 5*t for i.
4
Suppose -5 = -u + w, -5*w = -4*u - 0*w + 23. Let t be 1/u*320/32. Solve 22 = 3*z + 2*g, -3*z + t*g - 1 = 12 for z.
4
Suppose -c - 4*m + 969 = 0, c - 3*m - 136 = 805. Solve -5*h - d + 22 = 0, -3*h - 956*d = -c*d - 6 for h.
5
Let q = -306 - -77. Let w = q - -232. Suppose 0 = t + 5*y - 8, -3*y + 86 = 5*t - y. Solve -2*m - 3*u = t, -3*m + w*u = -m - 6 for m.
-3
Let u(r) = 49*r + 4024. Let c be u(-82). Solve 0 = -n - b - c + 15, 4*b = 3*n + 8 for n.
4
Let h be 2/(-8) - 252/(-48). Let g be (h/(-2))/(1/(-4)). Let r = g + -7. Solve -4*n = v, -v + 4*n = r*n for v.
0
Suppose -53 = 3*f - 3*q + 13, 3*q - 24 = f. Let y be (3/(-2))/(f/56). Solve -y*s + 4*m = 8, -3*s + 4*m - 8 = -0*s for s.
0
Suppose -24*p + 16*p = -120. Suppose p*d = -5*u + 12*d + 12, 3*u = 5*d - 20. Solve -3*i + 5*n - 18 = -2*i, -2*i + 2*n - 4 = u for i.
2
Let v be 3/78*4 - (-640)/(-104). Let w be (2/4)/(1*v/(-12)). Solve 5*z = -c + 5, 4*c - z = -w + 21 for c.
5
Let r be 0 + (-3)/6 + (-780)/(-24). Let o be 0 - r/24*-3. Solve 0 = -5*u - 4*j + 6, u + o*j - 10 = -2*u for u.
-2
Suppose -197 + 161 = b. Suppose -p + 3*p = 82. Let t = p + b. Solve -t*j = 5*g - 15, -3*g - 2*g + 15 = 0 for j.
0
Let l = 92 - 89. Suppose -12 = z + l*w, 4*w + 5 = -4*z - z. Let o be 0*((-2)/(-12))/(1/z). Solve -5*t - 3*f = -7*f + 7, o = 3*f - 9 for t.
1
Suppose 5*i = 5*z - 8*z + 445, 5*i = 2*z - 280. Let p = 150 - z. Solve -4*j = 6*g - 5*g + 10, p = -3*j - 2*g for j.
-3
Let z(t) = t**3 + 8*t**2 - 7*t - 28. Let s be z(-2). Solve c - 2*j = 1, 2*c + j - 2 = -s for c.
-3
Let i be (-25)/(-10)*2 - (-185 + -3). Let s = i + -188. Solve 0 = -3*l + s*v - 40, 10 = -3*v + 25 for l.
-5
Suppose 7*y = 13*y - 1848. Let h = 311 - y. Solve 5*a + h*p = -11, -2*a - 8 = 3*a + 4*p for a.
-4
Let b be (0 - -3) + 1/(-1). Let l = 22 + -18. Suppose 5*n = -l*o + 25, n + 3*o + o - 5 = 0. Solve -2*q = 3*p - 1, -1 - 2 = -n*p - b*q for p.
1
Suppose 2*f - 8*u = -3*u, 8 = 4*u. Suppose -15982*b + 15962*b + 45 + 55 = 0. Solve f*n = -2*t - 19, -t - b = -5*n - 18 for t.
-2
Let h be (-441)/153 + 3 + 49/17 + 2. Solve -3*m = -h*c, 0 = -76*c + 71*c for m.
0
Let s(p) = 2*p**2 - 1866*p - 3730. Let a be s(-2). Suppose -5*y - 5*g = 10, -2*y - 2*g = g + 8. Solve a = 5*h + 5*d, -y*h - 1 = 3*d - 5 for h.
2
Let r(n) = -28*n**2 - n - 1. Let s be r(1). Let c be 75/s*6/(-5). Suppose -2*b + 22 = 10. Solve -c*i = -u + b + 8, 22 = -3*i + 5*u for i.
-4
Let l = 214 + -211. Let o be (-1)/(5/(-75)*l). Let h be 3*1/3*0. Solve h*v - 10 = -o*v, 2*y + v - 4 = 0 for y.
1
Suppose -2*t = 3*d - 5, -d + 3*t + 12 = d. Let j(q) = -12*q**2 - 2*q + 49. Let y be j(-8). Let c = 703 + y. Solve -d*h - 5*g = -0*h + 10, c = g + 5 for h.
5
Suppose -14 = 4*d + 3*i, -d - 3*i = 7 + 1. Let r be 4524/406 - (4/(-14))/d. Solve -m + 2*p = -r, -m - 3*m - 2*p = -4 for m.
3
Suppose 4*g = -8, -4*b + g = -0*g - 18. Let s be 6/(-5)*-5 - (0 - -2). Let h be ((-16)/4)/s - (-3 - 1). Solve -a + 16 = -4*z, h*a = b*a + 4*z + 16 for a.
0
Suppose -249 + 254 = j. Suppose 18*f + j = 41. Solve 2*s - 3*t = -s + 9, 19 = -f*s - 3*t for s.
-2
Suppose 0 = -5*h - 2*b + 18, -3*b + 20 = 10*h - 6*h. Solve -8 = 2*w + 4*x, -8 = -w - h*w - x
|
{
"pile_set_name": "DM Mathematics"
}
|
ere between 6:23 PM and 10:57 PM?
274
What is 530 minutes after 6:49 AM?
3:39 PM
How many minutes are there between 11:28 AM and 5:54 PM?
386
How many minutes are there between 12:09 AM and 11:57 AM?
708
How many minutes are there between 4:32 PM and 10:03 PM?
331
What is 704 minutes after 3:41 PM?
3:25 AM
What is 127 minutes after 11:23 AM?
1:30 PM
How many minutes are there between 1:04 AM and 7:15 AM?
371
How many minutes are there between 5:35 AM and 4:02 PM?
627
How many minutes are there between 6:26 PM and 4:35 AM?
609
What is 644 minutes before 5:44 PM?
7:00 AM
What is 204 minutes after 1:37 AM?
5:01 AM
What is 92 minutes after 5:08 AM?
6:40 AM
What is 444 minutes after 9:53 AM?
5:17 PM
What is 300 minutes after 1:30 AM?
6:30 AM
What is 611 minutes before 9:30 AM?
11:19 PM
How many minutes are there between 6:58 AM and 9:33 AM?
155
What is 525 minutes after 10:57 PM?
7:42 AM
How many minutes are there between 4:38 AM and 10:02 AM?
324
How many minutes are there between 8:34 AM and 5:24 PM?
530
What is 153 minutes after 5:04 AM?
7:37 AM
What is 101 minutes before 8:32 PM?
6:51 PM
What is 376 minutes after 10:11 AM?
4:27 PM
What is 429 minutes before 1:03 AM?
5:54 PM
What is 707 minutes before 11:48 AM?
12:01 AM
What is 296 minutes before 2:52 AM?
9:56 PM
What is 345 minutes before 4:14 AM?
10:29 PM
How many minutes are there between 1:45 AM and 10:54 AM?
549
What is 423 minutes before 7:56 PM?
12:53 PM
What is 211 minutes before 5:14 AM?
1:43 AM
How many minutes are there between 1:52 PM and 7:34 PM?
342
What is 165 minutes after 11:33 AM?
2:18 PM
What is 137 minutes after 7:39 PM?
9:56 PM
What is 430 minutes after 9:21 AM?
4:31 PM
What is 128 minutes after 12:14 AM?
2:22 AM
What is 559 minutes after 2:54 PM?
12:13 AM
How many minutes are there between 9:09 PM and 11:12 PM?
123
What is 12 minutes after 7:07 AM?
7:19 AM
How many minutes are there between 7:28 PM and 12:52 AM?
324
How many minutes are there between 12:38 PM and 12:48 PM?
10
How many minutes are there between 1:02 AM and 8:30 AM?
448
What is 4 minutes before 2:33 PM?
2:29 PM
How many minutes are there between 4:03 PM and 8:42 PM?
279
How many minutes are there between 2:59 AM and 1:11 PM?
612
How many minutes are there between 7:39 PM and 3:25 AM?
466
How many minutes are there between 10:39 PM and 3:42 AM?
303
What is 60 minutes after 3:27 PM?
4:27 PM
What is 303 minutes before 10:04 PM?
5:01 PM
How many minutes are there between 8:36 AM and 12:13 PM?
217
How many minutes are there between 7:23 AM and 5:57 PM?
634
How many minutes are there between 7:06 AM and 1:22 PM?
376
How many minutes are there between 12:07 AM and 7:16 AM?
429
How many minutes are there between 6:11 AM and 3:43 PM?
572
How many minutes are there between 2:14 AM and 10:35 AM?
501
What is 203 minutes before 7:17 PM?
3:54 PM
How many minutes are there between 5:47 PM and 3:36 AM?
589
What is 675 minutes after 12:39 AM?
11:54 AM
What is 612 minutes after 12:46 PM?
10:58 PM
What is 405 minutes after 5:31 AM?
12:16 PM
What is 439 minutes after 12:29 PM?
7:48 PM
What is 40 minutes after 6:10 AM?
6:50 AM
What is 154 minutes after 11:08 PM?
1:42 AM
What is 675 minutes after 1:31 PM?
12:46 AM
What is 547 minutes after 3:07 AM?
12:14 PM
What is 456 minutes after 8:09 AM?
3:45 PM
What is 660 minutes before 9:45 AM?
10:45 PM
What is 394 minutes after 11:00 PM?
5:34 AM
How many minutes are there between 1:26 PM and 6:21 PM?
295
What is 246 minutes after 10:49 PM?
2:55 AM
What is 439 minutes before 1:07 PM?
5:48 AM
How many minutes are there between 8:02 AM and 10:09 AM?
127
What is 428 minutes before 9:22 AM?
2:14 AM
What is 149 minutes before 8:48 PM?
6:19 PM
What is 532 minutes after 1:01 PM?
9:53 PM
What is 148 minutes before 2:34 PM?
12:06 PM
What is 324 minutes before 5:00 AM?
11:36 PM
How many minutes are there between 1:05 PM and 5:31 PM?
266
How many minutes are there between 1:44 AM and 4:55 AM?
191
What is 277 minutes before 12:51 PM?
8:14 AM
How many minutes are there between 2:14 AM and 3:30 AM?
76
How many minutes are there between 6:58 AM and 6:29 PM?
691
How many minutes are there between 12:45 PM and 12:56 PM?
11
How many minutes are there between 10:59 AM and 11:11 AM?
12
What is 310 minutes before 6:54 AM?
1:44 AM
How many minutes are there between 4:10 AM and 6:11 AM?
121
How many minutes are there between 8:33 PM and 2:27 AM?
354
How many minutes are there between 1:09 PM and 1:51 PM?
42
What is 607 minutes before 8:05 AM?
9:58 PM
What is 2 minutes before 2:15 AM?
2:13 AM
How many minutes are there between 9:38 AM and 8:03 PM?
625
How many minutes are there between 10:11 AM and 7:58 PM?
587
What is 703 minutes before 7:39 PM?
7:56 AM
What is 98 minutes before 5:08 PM?
3:30 PM
How many minutes are there between 11:01 AM and 1:35 PM?
154
What is 35 minutes before 3:45 AM?
3:10 AM
What is 564 minutes after 11:43 PM?
9:07 AM
How many minutes are there between 3:45 PM and 8:50 PM?
305
How many minutes are there between 10:17 AM and 6:39 PM?
502
What is 175 minutes before 6:30 AM?
3:35 AM
How many minutes are there between 10:01 AM and 6:24 PM?
503
What is 318 minutes after 11:48 AM?
5:06 PM
What is 553 minutes before 10:37 AM?
1:24 AM
How many minutes are there between 3:19 PM and 4:50 PM?
91
How many minutes are there between 2:00 AM and 11:38 AM?
578
What is 398 minutes before 12:34 AM?
5:56 PM
How many minutes are there between 10:38 AM and 4:00 PM?
322
How many minutes are there between 8:10 AM and 9:19 AM?
69
What is 453 minutes after 6:52 AM?
2:25 PM
How many minutes are there between 7:45 PM and 7:10 AM?
685
What is 543 minutes after 7:50 PM?
4:53 AM
How many minutes are there between 12:03 AM and 4:15 AM?
252
What is 197 minutes before 11:46 PM?
8:29 PM
What is 715 minutes before 9:32 PM?
9:37 AM
What is 416 minutes before 4:46 PM?
9:50 AM
What is 623 minutes after 10:42 AM?
9:05 PM
What is 195 minutes after 3:44 AM?
6:59 AM
What is 706 minutes before 6:00 PM?
6:14 AM
What is 324 minutes before 11:38 AM?
6:14 AM
How many minutes are there between 3:31 PM
|
{
"pile_set_name": "DM Mathematics"
}
|
t common factor of 404 and 20705?
101
Calculate the highest common factor of 1207233 and 6.
3
Calculate the highest common divisor of 1400 and 6328.
56
Calculate the highest common factor of 1050 and 1694.
14
Calculate the greatest common factor of 1010658 and 6.
6
Calculate the greatest common divisor of 2337 and 478101.
123
What is the greatest common factor of 34934 and 24?
2
What is the highest common factor of 2 and 1994?
2
Calculate the greatest common divisor of 770699 and 3188.
797
What is the highest common divisor of 467 and 2978993?
467
Calculate the greatest common factor of 16 and 61112.
8
Calculate the highest common divisor of 118100 and 10.
10
Calculate the greatest common divisor of 44 and 1095116.
44
Calculate the highest common factor of 52 and 1901497.
13
Calculate the highest common factor of 6768 and 42192.
144
Calculate the greatest common divisor of 20762 and 126.
14
What is the highest common divisor of 1802 and 62222?
106
Calculate the highest common divisor of 649 and 18953.
11
What is the greatest common divisor of 27 and 98616?
3
What is the greatest common factor of 6575 and 825?
25
Calculate the highest common factor of 432 and 415008.
144
Calculate the greatest common divisor of 153444 and 48.
12
Calculate the greatest common divisor of 1106 and 22309.
7
Calculate the highest common factor of 12878784 and 464.
464
What is the greatest common factor of 8991 and 13851?
243
Calculate the greatest common divisor of 23 and 859211.
23
What is the greatest common factor of 59 and 37?
1
What is the highest common factor of 85957 and 86?
43
Calculate the greatest common divisor of 48 and 109698.
6
What is the highest common factor of 1587157 and 242?
121
Calculate the highest common factor of 1243 and 10021.
11
What is the greatest common factor of 22432 and 192?
32
What is the highest common factor of 610 and 41968?
122
Calculate the greatest common factor of 7112 and 9352.
56
What is the greatest common divisor of 754 and 754?
754
Calculate the greatest common divisor of 274 and 69733.
137
Calculate the highest common factor of 9 and 51669.
9
Calculate the highest common divisor of 137 and 419357.
137
Calculate the greatest common factor of 302 and 1386784.
302
What is the highest common divisor of 7831 and 1025?
41
Calculate the greatest common divisor of 720 and 375216.
48
What is the highest common divisor of 840 and 8967?
21
What is the greatest common divisor of 11692 and 790?
158
Calculate the greatest common divisor of 1488 and 78492.
372
Calculate the highest common factor of 19337 and 4121.
317
What is the greatest common factor of 37202 and 10324?
178
Calculate the greatest common divisor of 1876 and 117116.
268
What is the highest common factor of 1247 and 41296?
29
What is the greatest common factor of 113175 and 160?
5
Calculate the greatest common factor of 5790 and 960.
30
Calculate the highest common divisor of 14013 and 417.
3
What is the greatest common factor of 265839 and 21?
21
What is the highest common divisor of 96 and 3504?
48
Calculate the highest common divisor of 3401 and 2470.
19
Calculate the greatest common divisor of 52559 and 338.
169
What is the highest common factor of 105692 and 8?
4
Calculate the greatest common factor of 15265 and 16125.
215
Calculate the highest common divisor of 13053 and 1311.
57
What is the greatest common divisor of 330 and 2089670?
110
What is the highest common factor of 744 and 15996?
372
What is the highest common factor of 4482 and 9504?
54
What is the greatest common divisor of 1074933 and 747?
747
Calculate the greatest common divisor of 472576 and 312.
104
Calculate the greatest common divisor of 3482 and 68.
2
Calculate the highest common factor of 140514 and 84.
6
What is the greatest common factor of 606 and 13137474?
606
What is the highest common divisor of 87 and 24099?
87
Calculate the highest common divisor of 191052 and 696.
348
Calculate the highest common divisor of 702069 and 741.
57
What is the highest common factor of 3242 and 1522?
2
Calculate the highest common divisor of 4395040 and 26.
26
Calculate the greatest common divisor of 8832 and 1242.
138
Calculate the greatest common factor of 1732214 and 110.
22
Calculate the highest common divisor of 8 and 114152.
8
Calculate the greatest common divisor of 147 and 1487542.
49
What is the greatest common factor of 40850 and 50?
50
Calculate the greatest common divisor of 532 and 54376.
28
Calculate the highest common factor of 1137345 and 366.
183
Calculate the highest common divisor of 3745 and 298851.
749
Calculate the greatest common factor of 1782 and 22.
22
Calculate the greatest common factor of 49881 and 351.
39
What is the highest common factor of 2215 and 10?
5
What is the greatest common divisor of 300 and 3583800?
300
What is the greatest common factor of 45746 and 66820?
514
Calculate the highest common divisor of 4950 and 16742.
22
Calculate the greatest common divisor of 5688 and 303676.
316
What is the greatest common divisor of 72098 and 19552?
1222
What is the highest common divisor of 153180 and 3105?
1035
What is the greatest common factor of 87950 and 10?
10
What is the greatest common factor of 69839 and 308?
77
What is the greatest common factor of 76340 and 1265?
55
What is the greatest common factor of 148 and 2528654?
74
Calculate the highest common divisor of 1938432 and 2304.
768
Calculate the highest common factor of 54 and 47808.
18
Calculate the greatest common divisor of 52488 and 144.
72
Calculate the greatest common divisor of 1223650 and 950.
50
Calculate the highest common divisor of 33 and 800415.
33
What is the highest common divisor of 344300 and 440?
220
Calculate the highest common factor of 51 and 62781.
51
Calculate the highest common factor of 1474 and 389873.
737
Calculate the greatest common divisor of 571359 and 2043.
681
What is the greatest common divisor of 45914 and 132?
22
Calculate the greatest common factor of 846156 and 14124.
1284
Calculate the greatest common divisor of 1116 and 158751.
279
Calculate the greatest common divisor of 5797410 and 45.
15
What is the highest common factor of 140540 and 340?
20
What is the greatest common factor of 946 and 4378?
22
What is the highest common divisor of 105 and 1869?
21
Calculate the greatest common divisor of 41 and 173881.
41
Calculate the greatest common factor of 502 and 304714.
502
What is the highest common factor of 36179 and 69?
23
Calculate the greatest common factor of 48815 and 78.
13
Calculate the greatest common divisor of 63610 and 230.
10
What is the highest common divisor of 2064 and 84?
12
Calculate the highest common factor of 189 and 69606.
27
Calculate the greatest common divisor of 490672 and 520.
104
What is the highest common divisor of 752 and 23923?
47
What is the greatest common factor of 201 and 96614?
67
Calculate the highest common factor of 12375 and 297.
99
Calculate the highest common factor of 1036790 and 10.
10
What is the greatest common factor of 329 and 7943?
47
What is the greatest common divisor of 5038810 and 28?
14
What is the greatest common divisor of 1138102 and 2?
2
What is the highest common divisor of 553625 and 1648?
103
Calculate the highest common divisor of 380 and 2274984.
76
What is the highest common divisor of 2596 and 16676?
44
What is the highest common divisor of 413 and 37660?
7
Calculate the greatest common divisor of 481 and 4958.
37
What is the greatest common divisor of 9992 and 888?
8
Calculate the greatest common factor of 9856 and 374.
22
What is the greatest common divisor of 9779 and 781?
11
What is the highest common factor of 36 and 284061?
3
What is the greatest common divisor of 19224 and 672?
24
Calculate the greatest common factor of 100 and 242300.
100
Calculate the highest common factor of 56287 and 4515.
301
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
10?
150
-3 (base 9) to base 8
-3
-3 (base 8) to base 3
-10
-124 (base 6) to base 8
-64
What is -7d (base 16) in base 13?
-98
Convert -142 (base 13) to base 14.
-11d
Convert 102110 (base 3) to base 16.
135
115 (base 6) to base 2
101111
Convert 1b (base 14) to base 7.
34
49 (base 11) to base 13
41
What is 73 (base 11) in base 7?
143
-2 (base 3) to base 8
-2
-7 (base 11) to base 14
-7
-21 (base 9) to base 5
-34
-414 (base 8) to base 4
-10030
Convert -6 (base 13) to base 6.
-10
4 (base 10) to base 15
4
What is 1 (base 6) in base 15?
1
Convert 0 (base 16) to base 10.
0
Convert -2 (base 16) to base 12.
-2
Convert -1 (base 5) to base 9.
-1
What is -317 (base 8) in base 15?
-dc
What is -3 (base 4) in base 14?
-3
Convert -4 (base 9) to base 13.
-4
-7 (base 11) to base 12
-7
What is 4 (base 7) in base 8?
4
1 (base 8) to base 11
1
-2 (base 4) to base 6
-2
What is 100101001 (base 2) in base 14?
173
Convert 22 (base 4) to base 2.
1010
2 (base 7) to base 4
2
Convert 5 (base 13) to base 3.
12
What is -1 (base 15) in base 9?
-1
What is -15 (base 6) in base 13?
-b
What is 27 (base 10) in base 5?
102
Convert 23 (base 7) to base 6.
25
6 (base 10) to base 11
6
-23a (base 11) to base 5
-2120
Convert 20 (base 12) to base 6.
40
Convert -221 (base 6) to base 11.
-78
What is -40 (base 6) in base 11?
-22
What is -110011 (base 2) in base 3?
-1220
Convert -13 (base 5) to base 16.
-8
What is 5 (base 6) in base 7?
5
What is 84 (base 11) in base 15?
62
What is 101 (base 2) in base 9?
5
3 (base 6) to base 7
3
Convert -3 (base 13) to base 9.
-3
What is -17 (base 12) in base 6?
-31
aa (base 13) to base 3
12012
7 (base 13) to base 12
7
What is 33 (base 16) in base 10?
51
Convert -11 (base 4) to base 10.
-5
145 (base 11) to base 3
20022
111 (base 3) to base 9
14
Convert -65 (base 7) to base 3.
-1202
5 (base 10) to base 16
5
What is 1223 (base 5) in base 15?
c8
Convert 3 (base 12) to base 13.
3
What is -1101 (base 2) in base 5?
-23
-1011 (base 2) to base 14
-b
Convert -37 (base 11) to base 14.
-2c
-24 (base 11) to base 13
-20
What is -2 (base 9) in base 11?
-2
Convert -9b (base 16) to base 15.
-a5
What is -3 (base 10) in base 13?
-3
What is 5 (base 14) in base 7?
5
-54 (base 13) to base 11
-63
What is -2 (base 6) in base 14?
-2
Convert 106 (base 10) to base 6.
254
Convert -8 (base 14) to base 9.
-8
What is -1 (base 6) in base 12?
-1
202 (base 4) to base 10
34
5 (base 7) to base 10
5
What is 1110001 (base 2) in base 12?
95
What is 21 (base 3) in base 12?
7
-22 (base 6) to base 3
-112
Convert -2 (base 15) to base 8.
-2
Convert 313 (base 4) to base 14.
3d
Convert -101010011 (base 2) to base 8.
-523
What is -10100 (base 2) in base 8?
-24
What is -10 (base 2) in base 10?
-2
Convert 11112 (base 3) to base 14.
8a
Convert 1001101 (base 2) to base 8.
115
What is 1 (base 10) in base 16?
1
-62 (base 16) to base 9
-118
-1 (base 3) to base 11
-1
Convert -3 (base 14) to base 7.
-3
Convert -4 (base 15) to base 16.
-4
What is 72 (base 14) in base 11?
91
What is -2001 (base 3) in base 4?
-313
1a (base 15) to base 7
34
Convert -10 (base 14) to base 4.
-32
Convert -34 (base 9) to base 3.
-1011
Convert -148 (base 9) to base 3.
-11122
What is 44 (base 10) in base 13?
35
What is 4 (base 13) in base 14?
4
56 (base 10) to base 12
48
What is -11110 (base 3) in base 8?
-170
Convert 1342 (base 5) to base 14.
11c
Convert -1010 (base 2) to base 14.
-a
-21 (base 11) to base 4
-113
Convert -2 (base 7) to base 2.
-10
Convert 3 (base 5) to base 13.
3
What is -51 (base 7) in base 9?
-40
Convert -1 (base 9) to base 8.
-1
What is -6 (base 16) in base 2?
-110
Convert 2 (base 6) to base 3.
2
What is 6 (base 9) in base 3?
20
Convert 264 (base 10) to base 7.
525
What is 10 (base 5) in base 9?
5
-2 (base 13) to base 9
-2
What is 0 (base 2) in base 8?
0
Convert -7 (base 15) to base 14.
-7
Convert -152 (base 12) to base 9.
-248
What is -13 (base 6) in base 14?
-9
Convert -6 (base 7) to base 6.
-10
Convert -18 (base 12) to base 6.
-32
What is 11 (base 2) in base 3?
10
Convert -221 (base 5) to base 3.
-2021
Convert 1 (base 11) to base 13.
1
13 (base 8) to base 5
21
Convert -1043 (base 5) to base 8.
-224
What is 20 (base 10) in base 5?
40
What is -3 (base 13) in base 15?
-3
-10 (base 7) to base 10
-7
-100 (base 3) to base 14
-9
1230 (base 4) to base 10
108
Convert -2 (base 7) to base 9.
-2
-43 (base 6) to base 15
-1c
Convert 4 (base 14) to base 6.
4
20 (base 5) to base 7
13
Convert 7 (base 8) to base 10.
7
What is 27 (base 13) in base 4?
201
What is 7 (base 14) in base 11?
7
-b1 (base 16) to base 5
-1202
Convert -3 (base 4) to base 6.
-3
Convert -7 (base 13) to base 15.
-7
3 (base 4) to base 15
3
-1 (base 15) to base 16
-1
23 (base 4) to base 6
15
-10010110 (base 2) to base 14
-aa
8 (base 11) to base 3
22
What is 1 (base 14) in base 7?
1
Convert 90 (base 14) to base 13.
99
0 (base 5) to base 7
0
Convert -28 (base 9)
|
{
"pile_set_name": "DM Mathematics"
}
|
2*k**2 - 3*k**2 to f*k**2 + y*k + c and give f.
13
Express (-2*u + u + 2*u)*(-1 - 28*u + 11*u - 14*u) as x + j*u**2 + g*u and give j.
-31
Rearrange -13*g + 6 - 10*g + 33*g to b*g + r and give b.
10
Express 22*d + 2*d**3 - 23*d + d**3 as n*d + i*d**3 + c*d**2 + y and give n.
-1
Rearrange 9*a + 11*a - 9*a + 5*a to i*a + v and give v.
0
Express (-6*o**2 + 0 + 0)*(-5 + 2*o + 5) + (-4*o**3 + 4*o**3 - o**3)*(3 - 4 - 1) as t*o**2 + w*o + b*o**3 + k and give w.
0
Express 2*w + 19*w**3 + 2*w**4 + 2*w - 22*w**3 as q*w**2 + c*w**4 + x + k*w + m*w**3 and give k.
4
Rearrange (4*h - 6*h + 3*h)*(-4 - 1 - 2)*(3 - 1 - 1)*(0*h + 5*h - 4*h) to b + c*h + l*h**2 and give l.
-7
Express (0 + 2 + 2)*(2*w**2 + 0*w**2 - w**2)*(3*w - 3*w - 2*w) in the form x*w**3 + c*w**2 + t + p*w and give x.
-8
Rearrange (-1 + 4 - 4)*(-a + 5*a - 5*a) + (13 - 13 + 3*a)*(10 - 1 - 1) + 2*a - 1 + 1 to f + t*a and give t.
27
Express -27 + 27 - 9*n as h*n + u and give h.
-9
Express -21*s**2 - 33*s**2 + 11*s**2 - 19*s**2 in the form u*s + i*s**2 + t and give i.
-62
Express (-3*b - 3*b + 7*b)*(-1 + 1 - 2*b**2) + 3*b**3 - 15*b**2 - 1241 + 1241 - 2*b in the form n*b + o + m*b**3 + r*b**2 and give o.
0
Express (-1 - 3 + 1)*(0*u - 2*u + u) + (1 + 0 + 1)*(-1 + 1 + 2*u) in the form p + b*u and give b.
7
Rearrange -23*m + 3*m - 14*m to the form l + v*m and give v.
-34
Rearrange (-222 + 23*s + 222)*((3*s + 0*s - s)*(0 - 2 + 1) - s + s - s) to the form u + d*s**2 + x*s and give d.
-69
Express (51*c - 3*c - 13*c)*(-1 + 2 - 2) in the form y + l*c and give l.
-35
Express -5*d**2 + 5*d**2 - 4*d**3 + (3*d - 5*d + 0*d)*(7*d**2 + 0*d**2 - 12*d**2) in the form x + y*d + s*d**3 + q*d**2 and give s.
6
Express (10 - 17 - 20)*(d - 3*d - 2*d) + 4*d - 4*d + 2*d in the form g*d + n and give n.
0
Rearrange (-3*w - 4*w + 5*w)*(306 + 2*w - 306 + (w - 5*w + 2*w)*(4 + 1 - 2)) to the form a*w**2 + s*w + j and give a.
8
Rearrange 5*b**4 + 2*b**4 - 4*b**4 + (-4*b**2 + b**2 + 2*b**2)*(3*b - 3*b - 2*b**2) to n + u*b**3 + j*b**2 + q*b**4 + m*b and give q.
5
Express (36*j**2 + 295 - 295)*(-3*j - 2*j - 2 + 4*j) in the form v*j**3 + p*j + d*j**2 + f and give d.
-72
Rearrange -6*l**2 - 2*l + 2*l**2 - l**3 + 2*l**3 + 3*l**4 + l**3 to i*l**3 + k*l + p*l**2 + q*l**4 + a and give p.
-4
Rearrange (-3 + 4 + 1)*(-3*a + a + 3*a)*(4*a**3 - a + a) to r*a**4 + s + j*a**2 + k*a**3 + m*a and give r.
8
Rearrange (-2 + 15 - 5)*(5*l + 0*l + l) - l - 3 + 3 to the form p*l + k and give p.
47
Express -2 + 7*h**3 + 3 - 3*h**3 in the form c*h**2 + k + a*h**3 + w*h and give a.
4
Express -w + 17*w**2 - 32 - 10*w**2 - 8*w**2 in the form i + v*w + k*w**2 and give v.
-1
Express (-2 - 1 + 6)*(5 - 5 + 45*f**2) in the form i*f + h*f**2 + t and give h.
135
Rearrange 11*f**2 - 13*f**2 + 3 + 16*f**2 to the form q + o*f + g*f**2 and give q.
3
Express 0*b - 5*b - 2*b + (-3 + 4 - 2)*(b - 3*b + 4*b) + 9*b + 5 - 11*b - 3 in the form l*b + g and give l.
-11
Rearrange -1 + 11 - 2 + 2*l**2 - 4*l**2 to the form i*l**2 + b + k*l and give b.
8
Express ((0 - t + 0)*(-1 - 4 + 4) + 2 - 2 + t)*(-97*t - 336 + 336) as n + q*t**2 + h*t and give q.
-194
Express (4*g - 5*g + 2*g)*(0 + 0 + 2*g) - 1 + 2*g**2 + 1 + (-2*g + 2*g - 8*g)*(2*g - 3*g - 2*g) - 4 - 2*g**2 + 4 as y + s*g**2 + b*g and give s.
26
Rearrange ((0 + 1 + 0)*(6*u + 0*u - 2*u) + (1 - 1 + 1)*(2*u - 5*u + 4*u) - 2*u + 2*u - 2*u)*(2*u + 0*u + 3*u) to the form y*u**2 + h*u + x and give y.
15
Rearrange (31*i**3 - 392*i**2 + 392*i**2)*(3*i - 2 - 4 + 3) to j*i**2 + u*i + d*i**3 + o*i**4 + n and give d.
-93
Express -1 - 6*v**3 + 5 - v - 3 in the form a*v + y + n*v**3 + z*v**2 and give y.
1
Rearrange 3 + 4*f**3 - 1 - 1 to the form z*f**3 + s*f**2 + q + d*f and give q.
1
Express 3 + 0*y**4 - y**4 - 7*y + 8*y as q*y**4 + h*y + p*y**3 + o*y**2 + f and give h.
1
Rearrange -45 - f**4 - 86*f**3 - 84*f**3 - f + 169*f**3 to d*f**3 + x*f + t*f**2 + w*f**4 + r and give x.
-1
Rearrange 4*a - 3*a**2 - 14*a - 9*a to j*a**2 + p + f
|
{
"pile_set_name": "DM Mathematics"
}
|
Let q = -50.79 - -51.19. Let o = -0.6 + -0.1. Which is the closest to o? (a) q (b) 1/4 (c) 3
b
Let q = -0.04 - 0.16. Let i = -41/2 + 21. What is the nearest to -2 in -3, i, q?
-3
Let n = 663 - 660. What is the closest to -2/7 in n, -0.1, -3?
-0.1
Let x = -0.9 + 1.4. Let w = x + 25.5. Let c = -26.2 + w. What is the nearest to c in 3, -0.4, 4?
-0.4
Let h = 556 + -2781/5. Which is the closest to 13? (a) h (b) -3 (c) 0.5
c
Let s = 51.77 + -0.77. Let r = s - 54. Let z be 4/2 - (3 + -1). Which is the closest to z? (a) 0 (b) r (c) -0.3
a
Suppose -10*d = -0*d + 6*d. Let m = -9/68 - 2/17. Which is the nearest to m? (a) d (b) -2/3 (c) -4
a
Let l = 3 - 70. Let q = -67.4 - l. Let k = 0.2 - 0.1. What is the nearest to -2/3 in q, k, -3?
q
Let m = -288 - -293. What is the closest to -1 in 2/7, -2, m?
-2
Let x = 383 + -381. Which is the closest to 0? (a) -0.4 (b) x (c) 3
a
Let p be (-9 + 153/18)*2*3. What is the closest to 0.1 in 0.1, p, 0.02?
0.1
Let l = -61 - -37. Let g = l + 23.5. Let d be 3 - (12/(-22) + 3). What is the nearest to 0.2 in -2, g, d?
d
Suppose -7*g - 34 = -6. Let y = -0.497 + -0.303. Which is the nearest to 2/5? (a) g (b) 0.3 (c) y
b
Let i = -264 + 263.5. Let s = 2.6 + -2.3. Which is the closest to -12? (a) i (b) s (c) 3
a
Let f = -12048.1 - -12048. Let r = -2 - -2. Let v = r - -4. Which is the closest to f? (a) -2 (b) v (c) 0.5
c
Let m be 253/(-299)*(-8)/44. Let q = -0.1 - -0.5. What is the nearest to 1/2 in -10, m, q?
q
Let a = -1525 + 6101/4. Let v(f) = -f - 4. Let t be v(-5). What is the nearest to -1/4 in a, t, -4?
a
Let j = -128 + 509/4. Let g = 2495 + -2522. Which is the nearest to -1? (a) j (b) -1/8 (c) g
a
Let x = -240 + 241. Which is the nearest to 1? (a) -1/2 (b) x (c) 1/4
b
Let s = 12 + -9.9. Let f = s + -2. Let x = -265 + 270. Which is the nearest to 0? (a) -2 (b) f (c) x
b
Let l be ((-6)/12)/(8/(224/49)). What is the closest to 0.04 in -3, l, 5, -1?
l
Let h = 0.048 - 1.048. Let t = 239/330 - 13/22. What is the closest to -1 in 0.1, t, h?
h
Let f = 0.77 + -4.07. Let v = -2.8 - f. What is the nearest to 0 in v, -5, 2?
v
Let m = 37 - 37.2. Let g = 13.5 + -13.4. What is the closest to m in 0.3, -2, g?
g
Let x = -6 - -45. Let o = x - 38.9. Which is the closest to o? (a) -3 (b) -1 (c) 2/7
c
Let s = 85.2 - 85. Which is the nearest to 0? (a) s (b) -0.1 (c) 5 (d) 0.3
b
Let x = 8.3 - 8.264. Let p = -0.436 + x. What is the closest to -1 in 0.4, -2/13, p?
p
Let t be (0 - -1)*138/897. What is the nearest to -1 in -0.5, 2/5, t, -1?
-1
Let z = -1 + 1. Let j be 140/(-150)*(-18)/7. Let m = j - 9/5. What is the closest to -2/3 in m, -4, z?
z
Let q be 3/(-9) + 1/6. Let l = -9 - -12. Let d = l + -1. Which is the closest to 1? (a) -3 (b) d (c) q
b
Let i(r) = -r**3 - 2*r**2 - 7*r - 35. Let o be i(-3). Which is the nearest to -3.4? (a) -0.8 (b) -1/11 (c) o (d) -1
c
Let h = 605.5 + -606. What is the nearest to 0 in h, -2, 1/5?
1/5
Let j = 344 + -348. Let o = -0.89 - -0.09. Let i = o + 1.8. What is the nearest to -0.1 in 0.3, j, i?
0.3
Let p = -21.7 - -13.8. Let u = p - -8. Which is the nearest to -1/2? (a) u (b) -5 (c) -1
c
Let x = 135.15 + -0.15. Let v = 132 - x. Let s be (-3)/(-6)*(7 + 1). Which is the closest to v? (a) -2/3 (b) 5 (c) s
a
Let i(x) = -x**3 - 2*x**2 + x. Let k be i(-3). Suppose j + 3 = k. Which is the closest to -2? (a) -2/11 (b) j (c) 1
a
Let p = 2/99 - 35/99. Let o = -28791/5 - -5758. What is the closest to p in o, 4/7, -3?
o
Let g = -3 + 2.6. Let f = -0.2 - -0.02. Let o = f + 0.08. What is the closest to g in -3, o, -0.3?
-0.3
Let j = 338 - 339. What is the closest to -1/2 in j, 0.2, 0.9?
j
Let u = 37.15 + 10.75. Let b = u + -48. What is the nearest to 3 in 0, b, -3?
0
Let b = -391.1 + 391. What is the nearest to 0.1 in 1, -0.3, b?
b
Let l = 327 - 321. Which is the nearest to -12? (a) l (b) 2 (c) -3
c
Let i = -3576 - -3589. Let k = -0.2 + 0.1. What is the nearest to k in -1/7, i, -2?
-1/7
Let z = 72 - 69. Let t = 4 - -2. Let x be 4/t*3/6. What is the nearest to x in 4, z, 1?
1
Suppose -4*o + 6*o + 3*s + 1 = 0, 5*s + 10 = -5*o. Let w = 23.05 - 23. Let t be -1
|
{
"pile_set_name": "DM Mathematics"
}
|
e c'th term of -673633, -673635, -673637?
-2*c - 673631
What is the h'th term of -90929, -181864, -272799, -363734, -454669?
-90935*h + 6
What is the h'th term of -699, -1381, -2057, -2727, -3391, -4049?
3*h**2 - 691*h - 11
What is the d'th term of 16286, 32518, 48738, 64940, 81118, 97266?
-d**3 + 16239*d + 48
What is the r'th term of -16488, -16490, -16492, -16494?
-2*r - 16486
What is the y'th term of 449, 1758, 3925, 6938, 10785?
-2*y**3 + 441*y**2 + 10
What is the k'th term of -52, 6, 96, 218, 372?
16*k**2 + 10*k - 78
What is the l'th term of -211, -420, -601, -748, -855?
l**3 + 8*l**2 - 240*l + 20
What is the g'th term of -38, -279, -942, -2237, -4374?
-35*g**3 - g**2 + 7*g - 9
What is the a'th term of -671, -601, -531, -461?
70*a - 741
What is the w'th term of 1544, 3113, 4674, 6227?
-4*w**2 + 1581*w - 33
What is the x'th term of -2655, -10628, -23917, -42522?
-2658*x**2 + x + 2
What is the u'th term of 682, 2821, 6430, 11521, 18106?
2*u**3 + 723*u**2 - 44*u + 1
What is the t'th term of -10145, -9949, -9751, -9551, -9349?
t**2 + 193*t - 10339
What is the p'th term of -515180, -515181, -515182, -515183?
-p - 515179
What is the y'th term of 71870, 287474, 646812, 1149884, 1796690, 2587230?
71867*y**2 + 3*y
What is the g'th term of -188143, -188141, -188137, -188131, -188123?
g**2 - g - 188143
What is the c'th term of -2, -2, -14, -44, -98, -182?
-c**3 + 7*c - 8
What is the r'th term of -47, -132, -219, -308, -399, -492?
-r**2 - 82*r + 36
What is the y'th term of -1066, -1057, -1048, -1039, -1030?
9*y - 1075
What is the r'th term of 1618, 1836, 2208, 2740, 3438?
r**3 + 71*r**2 - 2*r + 1548
What is the n'th term of -645, -2283, -4921, -8559, -13197, -18835?
-500*n**2 - 138*n - 7
What is the r'th term of -528, -714, -896, -1074?
2*r**2 - 192*r - 338
What is the k'th term of -447140, -894280, -1341420?
-447140*k
What is the h'th term of 793818, 793815, 793810, 793803, 793794, 793783?
-h**2 + 793819
What is the r'th term of 765, 865, 965, 1065, 1165, 1265?
100*r + 665
What is the y'th term of 5798, 11594, 17404, 23234, 29090, 34978?
y**3 + y**2 + 5786*y + 10
What is the l'th term of -501, -459, -417, -375, -333?
42*l - 543
What is the h'th term of -125, -342, -667, -1100, -1641?
-54*h**2 - 55*h - 16
What is the w'th term of 1126970, 1126967, 1126954, 1126925, 1126874?
-w**3 + w**2 + w + 1126969
What is the j'th term of 418, 426, 436, 448, 462, 478?
j**2 + 5*j + 412
What is the p'th term of 3616, 14335, 32194, 57187, 89308, 128551, 174910, 228379?
-p**3 + 3576*p**2 - 2*p + 43
What is the d'th term of -306768, -306784, -306824, -306900, -307024, -307208, -307464, -307804?
-2*d**3 - 2*d - 306764
What is the i'th term of 2058, 4104, 6146, 8184?
-2*i**2 + 2052*i + 8
What is the m'th term of -16852, -33729, -50606, -67483, -84360, -101237?
-16877*m + 25
What is the f'th term of 564, 1064, 1564, 2064, 2564?
500*f + 64
What is the r'th term of 2058, 8217, 18488, 32871, 51366?
2056*r**2 - 9*r + 11
What is the v'th term of -12614, -12924, -13442, -14168, -15102, -16244, -17594?
-104*v**2 + 2*v - 12512
What is the i'th term of -78599, -314402, -707407, -1257614?
-78601*i**2 + 2
What is the c'th term of -19990, -39858, -59724, -79588, -99450?
c**2 - 19871*c - 120
What is the b'th term of 19967, 19974, 19981, 19988, 19995?
7*b + 19960
What is the k'th term of 798, 1737, 2692, 3669, 4674, 5713, 6792, 7917?
k**3 + 2*k**2 + 926*k - 131
What is the d'th term of -2769, -11096, -24977, -44412?
-2777*d**2 + 4*d + 4
What is the j'th term of -88825, -88808, -88791, -88774?
17*j - 88842
What is the j'th term of -157, -341, -523, -703, -881?
j**2 - 187*j + 29
What is the b'th term of -54, -114, -290, -642, -1230?
-10*b**3 + 2*b**2 + 4*b - 50
What is the a'th term of 16730, 16724, 16714, 16700, 16682, 16660?
-2*a**2 + 16732
What is the q'th term of -318, -292, -286, -300?
-10*q**2 + 56*q - 364
What is the g'th term of 325, 342, 373, 424, 501, 610, 757?
g**3 + g**2 + 7*g + 316
What is the d'th term of -457757, -915515, -1373273, -1831031, -2288789?
-457758*d + 1
What is the t'th term of 3893, 7759, 11661, 15617, 19645, 23763?
3*t**3 + 3845*t + 45
What is the a'th term of -590, -505, -420, -335, -250, -165?
85*a - 675
What is the n'th term of 14, 85, 244, 521, 946, 1549?
5*n**3 + 14*n**2 - 6*n + 1
What is the p
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the second derivative of -214*g**4 - g + 91 wrt g?
-2568*g**2
What is the second derivative of 2*d**2*m**2*t**3 - 45*d**2*m**2 - d**2*m + 66*d*m*t**3 - d*t - m**2 + m*t**3 wrt d?
4*m**2*t**3 - 90*m**2 - 2*m
What is the second derivative of -36*a**3 + 12*a**2 + 500*a + 1?
-216*a + 24
Find the first derivative of 3*h**2*v**2 - 2*h**2*v + 104*h**2 - 93*v**2 + 150 wrt h.
6*h*v**2 - 4*h*v + 208*h
What is the third derivative of 2*d*i**3*l**2 + 4*d*i**3*l + 2*d*i**2*l + 18*d*i*l + 3*i**3*l + 8*i**2*l**2 + 2*i*l**2 wrt i?
12*d*l**2 + 24*d*l + 18*l
What is the derivative of 4512*f*p**2 - 560*p**2 wrt f?
4512*p**2
What is the third derivative of 863*r**3 - 79*r**2 - 3*r + 2?
5178
Differentiate -29*b**4 - b**3 + 449.
-116*b**3 - 3*b**2
Find the second derivative of -451*l**2 - 1599*l.
-902
What is the third derivative of -923*q**3 - 3*q**2 - 4*q - 9?
-5538
What is the first derivative of -265*t**2 + 4161 wrt t?
-530*t
What is the third derivative of 4*c**3*h*y**3 - 254*c**3*h*y**2 + c**2*h - 263*c*h*y**3 - c*y**2 + 2*y**2 wrt y?
24*c**3*h - 1578*c*h
What is the first derivative of 583*a*j**3 - 2*a*j*s - j**3*s**2 - 66*s**2 wrt s?
-2*a*j - 2*j**3*s - 132*s
What is the third derivative of -48*r**2*z**5 - 45*r**2*z**3 - r**2*z**2 - 11*r**2 + 30*r*z - 1 wrt z?
-2880*r**2*z**2 - 270*r**2
What is the third derivative of -70*w**5 + 10*w**3 + 4*w**2 - 60 wrt w?
-4200*w**2 + 60
Find the first derivative of -11*j**4 + 2*j**2 + 44.
-44*j**3 + 4*j
What is the derivative of -31*o**4 + 6*o**3 - 2*o**2 + 14981 wrt o?
-124*o**3 + 18*o**2 - 4*o
What is the derivative of 1424*i - 5253?
1424
What is the second derivative of -2*n**3*v**2 - 45*n**2*v**2 - 3*n*v - 55*n + 2*v**2 wrt n?
-12*n*v**2 - 90*v**2
What is the first derivative of -354*f + 357?
-354
What is the derivative of -1352*b + 49?
-1352
Find the third derivative of -5*x*z**6 + 10*x*z**5 + 17*x*z**2 - 5*z**2 wrt z.
-600*x*z**3 + 600*x*z**2
What is the derivative of 7*i*l*x**2 - 18*i*l*x - i*l + 1271*i + l*x + 2*x**2 wrt l?
7*i*x**2 - 18*i*x - i + x
What is the second derivative of -546*g**2 + 332*g + 2 wrt g?
-1092
Differentiate -32*b**3*u - 23*b**3*y**2 + 5*b*u*y**2 - 11*y**2 with respect to u.
-32*b**3 + 5*b*y**2
What is the derivative of -1414*u + 10001 wrt u?
-1414
Find the third derivative of 69*j**3*x + 2*j**3 + 18*j**2*x + j**2 - 5*j*x wrt j.
414*x + 12
What is the third derivative of -160*t**5 - 13*t**2 - 8 wrt t?
-9600*t**2
Differentiate -385*j - 109 with respect to j.
-385
What is the third derivative of 192*k**3 - 14*k**2 - 7?
1152
Find the third derivative of k**3*r**3 - 112*k**3*x**3 - k**2*r**2*x**2 - k**2*r*x**3 + 7*k*r**3*x**3 + 4*r**3*x**2 wrt k.
6*r**3 - 672*x**3
Find the second derivative of -171*m**5*q - 5*m*q - 2*m + 6*q wrt m.
-3420*m**3*q
What is the second derivative of -206*b*q**2*z - 2*b*q*z**3 + 6*b*z + 5*q**2*z**3 - 46*q*z + q wrt q?
-412*b*z + 10*z**3
Find the third derivative of -o*w**5 - 566*o*w**4 - 1147*o*w**2 wrt w.
-60*o*w**2 - 13584*o*w
What is the second derivative of -33940*f**2 + 7422*f - 2 wrt f?
-67880
What is the derivative of 4*l**2*s**3 + 3*l**2*s**2 - 30*l*s**3 - 523*s**3 wrt l?
8*l*s**3 + 6*l*s**2 - 30*s**3
What is the second derivative of -71*v**5 + 5*v**4*z**2 - 46*v*z**2 - 2*v wrt v?
-1420*v**3 + 60*v**2*z**2
Differentiate -201*u**2*v*y + 5*u**2*y - 2*u*v*y - v*y - 607*y with respect to u.
-402*u*v*y + 10*u*y - 2*v*y
What is the third derivative of d**3*z**3 + 2*d**3 + 6*d**2*z**3 + 22*d**2*z - 19*d*z**4 + d*z**2 wrt z?
6*d**3 + 36*d**2 - 456*d*z
Find the second derivative of 10*q**3*r**2 - 18*q**3*w - 2*q*r**2*w*x - 4*q*w + 11*r**2*x**3 - r*w*x**3 + 5*r*w*x**2 - r*x**3 + 2*x wrt r.
20*q**3 - 4*q*w*x + 22*x**3
Find the second derivative of 11*h**3 - 5*h**2 + 5*h + 14 wrt h.
66*h - 10
What is the third derivative of -2*n**4 + 260*n**3*r**2 + 14*n**3 - 8*n**2*r**2 - n**2 + 16*n*r + 4*r wrt n?
-48*n + 1560*r**2 + 84
What is the second derivative of f*j**2*v - 2*f*j*v**3 - 115*f*j + 3*f*v**3 - 135*j**2*v**3 wrt j?
2*f*v - 270*v**3
What is the third derivative of 5*k**2*r**4 + 3*k**2*r
|
{
"pile_set_name": "DM Mathematics"
}
|
0.
-36/85, 1, 4
What is o in 45*o**5 + 460*o**4 - 935*o**3 + 310*o**2 + 120*o = 0?
-12, -2/9, 0, 1
Let -10*k**5/11 - 64*k**4/11 + 386*k**3/11 + 224*k**2/11 - 376*k/11 - 160/11 = 0. Calculate k.
-10, -1, -2/5, 1, 4
Let -2*d**4 - 354*d**3 + 48550*d**2 - 1266846*d - 1315748 = 0. What is d?
-274, -1, 49
Determine a, given that 2*a**2/3 + 1773772*a/3 + 393283388498/3 = 0.
-443443
Determine f so that f**4/5 - 34*f**3 - 8768*f**2/5 - 16974*f + 338031/5 = 0.
-23, 3, 213
Suppose 4*p**2 - 1744*p - 38388 = 0. What is p?
-21, 457
Factor -20*z**2/3 + 2064*z + 11340.
-4*(z - 315)*(5*z + 27)/3
Determine i so that 3*i**3/7 - 9*i**2/7 - 1794*i/7 = 0.
-23, 0, 26
Let g**3 - 154*g**2 + 7105*g - 102900 = 0. Calculate g.
35, 84
Suppose -867*o**4/2 + 969*o**3 + 2181*o**2/2 - 294*o + 18 = 0. What is o?
-1, 2/17, 3
Determine y, given that -y**3 - 13678*y**2 - 13671*y + 82062 = 0.
-13677, -3, 2
Suppose -25*c**3/3 + 74372*c**2/9 + 27775*c/9 + 992/9 = 0. What is c?
-1/3, -1/25, 992
Suppose -a**5 + 541*a**4 + 5486*a**3 + 13234*a**2 - 5485*a - 13775 = 0. Calculate a.
-5, -1, 1, 551
What is w in -2*w**2/11 + 7704*w/11 - 7418952/11 = 0?
1926
Suppose -3*o**2 - 912*o - 36864 = 0. What is o?
-256, -48
Factor -3*n**3 + 1266*n**2 + 19515*n + 65550.
-3*(n - 437)*(n + 5)*(n + 10)
Find q such that -2*q**3/5 + 140186*q**2/5 - 280366*q/5 + 140182/5 = 0.
1, 70091
Determine i, given that 9*i**4/7 + 17223*i**3 + 80359*i**2/7 - 147349*i/7 - 53580/7 = 0.
-13395, -4/3, -1/3, 1
Find b, given that b**5/4 - 41*b**4/4 + 337*b**3/4 - 839*b**2/4 + 11*b/2 + 310 = 0.
-1, 2, 4, 5, 31
Find a, given that -2*a**4 + 1122*a**3 + 7936*a**2 + 9120*a - 18176 = 0.
-4, 1, 568
Find k such that k**4/2 - 47*k**3/2 - 194*k**2 + 262*k + 432 = 0.
-8, -1, 2, 54
Factor 2*v**2/7 + 14856*v/7 + 27587592/7.
2*(v + 3714)**2/7
Find p such that 2*p**3 - 240072*p**2 + 480138*p - 240068 = 0.
1, 120034
Solve 3*z**5 - 129*z**4 + 789*z**3 - 1203*z**2 + 540*z = 0 for z.
0, 1, 5, 36
Determine q so that -54*q**3/11 - 621678*q**2/11 - 345364*q/11 - 46048/11 = 0.
-11512, -1/3, -2/9
Factor -3*g**4/4 - 570*g**3 - 142848*g**2 - 11403264*g + 100663296.
-3*(g - 8)*(g + 256)**3/4
Let -13813*c**3 - 138128*c**2 - 331492*c + 48 = 0. Calculate c.
-6, -4, 2/13813
Determine z, given that 3*z**3/2 + 216*z**2 + 3669*z/2 + 1620 = 0.
-135, -8, -1
What is a in 4*a**4/7 + 93*a**3/7 - 429*a**2/7 - 653*a/7 - 135/7 = 0?
-27, -1, -1/4, 5
Factor n**3/6 - 88*n**2 + 2245*n/2 - 10300/3.
(n - 515)*(n - 8)*(n - 5)/6
Determine c so that -c**4/7 + 9*c**3 - 1117*c**2/7 + 927*c - 5434/7 = 0.
1, 11, 13, 38
Factor h**3/2 + 589*h**2/2 + 31737*h.
h*(h + 142)*(h + 447)/2
Factor 2*c**2/3 + 434*c/3 + 3200.
2*(c + 25)*(c + 192)/3
Find a such that -1058*a**2 - 67160*a - 1065800 = 0.
-730/23
Factor -j**3 - 967*j**2 + 3884*j.
-j*(j - 4)*(j + 971)
Let -99458*a**3 + 3582272*a**2 - 64232*a + 288 = 0. What is a?
2/223, 36
Find a such that 5*a**2/2 + 664959*a - 265984 = 0.
-265984, 2/5
Suppose -2*j**2 - 133156*j - 133154 = 0. Calculate j.
-66577, -1
Solve -s**4/4 - 43*s**3 + 3133*s**2/4 - 3764*s + 3024 = 0 for s.
-189, 1, 8
Factor -5*j**3 + 9155*j**2 - 4222560*j + 29111040.
-5*(j - 912)**2*(j - 7)
Factor 5*l**2/4 + 362340*l + 26258055120.
5*(l + 144936)**2/4
Suppose -3*v**4 - 11826*v**3 - 15667272*v**2 - 7140984654*v - 219012267573 = 0. Calculate v.
-1303, -33
Determine d so that 3*d**4/7 + 5583*d**3/7 - 16788*d**2/7 - 22368*d/7 = 0.
-1864, -1, 0, 4
Factor o**2 - 72392*o + 1310150416.
(o - 36196)**2
Solve 4*n**5 + 100*n**4 - 848*n**3 + 1536*n**2 = 0.
-32, 0, 3, 4
Find u, given that -3*u**4/5 - 966*u**3/5 + 142281*u**2 - 79339404*u/5 - 80051772/5 = 0.
-709, -1, 194
Factor 2*s**3/9 + 1354*s**2/9 - 1396*s/9 - 9040/3.
2*(s - 5)*(s + 4)*(s + 678)/9
Let -159*y**5/4 - 317*y**4/8 + 1909*y**3/8 + 633*y**2/4 - 637*y/2 + 1 = 0. What is y?
-2, 1/318, 1, 2
Factor -3*m**4 + 206103
|
{
"pile_set_name": "DM Mathematics"
}
|
o*h - 21. Let u(c) = -1 - 5*c + 0*c + 7*c. What is u(h)?
5
Let j be 4/8*(0 + -2). Suppose -150*z - 4 = -148*z. Let x be j*(12/3 - z). Let o(f) = f**2 + 9*f + 3. Calculate o(x).
-15
Let l(a) = a**2 + a + 6. Suppose 21*t - 66 + 3 = 0. Let d(f) be the third derivative of -f**3/6 + f**2. Let b(x) = t*d(x) - l(x). What is b(0)?
-9
Let f(j) = -j**2 - 6*j + 17. Suppose -3*x + 217 - 244 = 0. Determine f(x).
-10
Let g be 6/(-4)*(-6)/(-3). Let o = -3 - g. Suppose -4*n - 3*p = o, 3*p - p = 4*n. Let t(a) = a - 10. What is t(n)?
-10
Let k(z) = z**3 + 5*z**2 + 3*z. Let b(g) = -g**3 + 7*g**2 + g - 3. Let t be b(7). Suppose t*u + 2 + 6 = 0. Calculate k(u).
6
Let m(y) = y**2 + y - 1. Let z(n) = -n**3 + n - 1. Let l = -6 + 5. Let g(r) = l*z(r) + 2*m(r). Determine g(-2).
-3
Let m(g) = -7. Let a(p) = p - 46. Let f(x) = 2*a(x) - 6*m(x). Determine f(26).
2
Let k(b) be the second derivative of -b**4/12 + 5*b**3/6 - 3*b**2/2 - 12*b. Let j(c) = 6*c - 5*c - 2*c. Let a be j(-3). Give k(a).
3
Let n(p) be the first derivative of -1/360*p**6 + 0*p - 4 + 0*p**2 - 1/12*p**4 + 7/3*p**3 + 1/20*p**5. Let y(o) be the third derivative of n(o). What is y(4)?
6
Let g(j) = 837432 - 837432 + 5*j. What is g(-4)?
-20
Let i(d) = 5*d**3 + 3*d**2 - 2*d + 5. Let c(r) = -9*r**3 - 6*r**2 + 4*r - 9. Let k(j) = -6*c(j) - 11*i(j). What is k(2)?
-1
Let x(k) be the second derivative of k**8/6720 + k**7/840 + k**5/60 - k**4/4 - 12*k. Let b(w) be the third derivative of x(w). Give b(-3).
2
Let l(g) = -g**3 - 3*g**2 - 2*g + 4. Suppose -b = -3*b + 18. Let p = -12 + b. Determine l(p).
10
Let n(v) = v**3 + 3*v**2 - 5*v - 5. Let b be n(-4). Let i(l) = 10*l**2 - 5*l**2 + l**2 - 3*l**2 - 2*l**2. Give i(b).
1
Suppose -v = 5*m - 9, -3*v + 9*m + 7 = 4*m. Let d(f) = -6 - 5*f + 11 - v. What is d(2)?
-9
Let b be ((-7)/2)/((-2)/4). Let d = b + -27. Let c = d - -18. Let j(z) = -2*z + 1. What is j(c)?
5
Let k(d) = -d**2 + 5*d + 2. Suppose 0 = -4*f - 3*u + 30, -2*f = -f + u - 8. Suppose 3*z + f = x, -x + 5 = 2*z - 1. Determine k(x).
-4
Suppose -y = -3 - 3. Suppose -2*o + l + l = -10, l + 21 = 3*o. Let i(g) = 0*g - g - 8 + o + 5. What is i(y)?
-1
Let q(k) be the second derivative of k**4/12 - 29*k**3/6 + 50*k**2 + 564*k. Calculate q(25).
0
Let t(s) = -4*s**2 - s - 2. Let b(g) = -3*g**2 - g - 2. Suppose -9*h = -20*h + 55. Let l(r) = h*b(r) - 4*t(r). Calculate l(3).
4
Let y(x) = 2*x**3 + 13*x**2 + 15*x - 32. Let g(a) = -a**3 - 6*a**2 - 7*a + 16. Suppose l + 7 = 1. Let d(i) = l*y(i) - 13*g(i). Determine d(0).
-16
Let a(q) = 2*q**3 + q**2 + 5. Let x(t) = 3*t**3 + t**2 + 4. Let z(w) = 5*a(w) - 6*x(w). Let h = 8 - 7. Let m(b) = -b**2. Let r be m(h). What is z(r)?
8
Let s = -454 + 448. Let d(g) be the second derivative of -g**3/6 - 4*g**2 + 8*g. What is d(s)?
-2
Suppose -5*m = 491 + 309. Let v = m + 163. Let h(b) = -2*b**2 + 4*b. What is h(v)?
-6
Suppose 0 = z - 7 - 1. Suppose -z*d = -13*d - 25. Let w(v) = v**2 + 6*v - 4. Calculate w(d).
-9
Let z(x) = 2*x + 28. Let g(j) = j + 27. Let b(q) = 5*g(q) - 4*z(q). Calculate b(11).
-10
Let g(w) = 13*w**3 - w**2 - w + 1. Let p be g(1). Let s be (8/p)/(2/(-6)*1). Let v(k) = -k**3 - 2*k**2 - 2*k - 1. Give v(s).
3
Let d(h) = 4 + h + 4*h + h**2 + h. Let o(r) = r**3 + 2*r**2 - 2*r - 4. Let y be o(-3). Let g = -10 - y. What is d(g)?
-5
Let g be 23/(-2)*(-1504)/(-8648). Let u(w) be the first derivative of 0*w + 5/2*w**2 - 1. Calculate u(g).
-10
Let c(o) = o**2 - 2*o - 3. Let d be 3 - (2 + 0/(-3) + 17). Let m be (6/(-4))/(2 + 20/d). Determine c(m).
5
Let z(m) = -9*m - m + 6 + 89*m**2 + 3*m - 88*m**2. Suppose -20 = -i - 4*i. Give z(i).
-6
Let v(s) = -5*s - 8. Let k(x) = -2*x. Let l(d) = 2*k(d) - v(d). Determine l(-11).
-3
Let u(t) = t**3 - 4*t**2 - 6*t + 3. Suppose -50 = -18*o + 8*o. Calculate u(o).
-2
Let g(a) be the second derivative of a**3/6 + 4*a**2 - 188*a. Determine g(-8).
0
Let b = -1 - 7. Let t be (1 - 2)/((-12)/(-108)). Let k be t/15 - b/5. Let a(d) = -15*d**
|
{
"pile_set_name": "DM Mathematics"
}
|
3
c
Let u = -15 - -6. Let w = 3920 - 3920.2. What is the nearest to -1/4 in 5, w, u?
w
Let l = -6 + 7. Let h = -535/34 + 2773/170. Let w = -20/17 + h. What is the nearest to w in l, 0.2, 3/2?
0.2
Let z be -1 + (5181/69)/(76 - 1). Let k = -3412/32775 - z. Which is the closest to 1/2? (a) 1/2 (b) -2 (c) k
a
Let g = -0.1 + 0.04. Let p = -1385 + 1382.036. Let r = 0.036 - p. Which is the closest to g? (a) r (b) 0.1 (c) -1/5
c
Let x(r) = -3*r + 149. Let v be x(51). Which is the closest to 2/15? (a) v (b) 2/27 (c) 1/3
b
Let m = 892 + -892.07. Which is the nearest to 24? (a) 0.2 (b) -2 (c) m
a
Let h = -61 + 306/5. Suppose -3*i - 5 = -4*m + 15, 5*m - 2 = -2*i. Which is the nearest to -3? (a) h (b) -2/5 (c) i
c
Let u = -118.09 + 119. Let v = 0.71 - u. Let t = -538/5 - -108. Which is the nearest to -2? (a) v (b) 1 (c) t
a
Let y be (-32)/(-40)*(-89)/(-4). Let x = -91/5 + y. What is the closest to -2 in 2/15, x, -0.3?
x
Let n(i) = -i**2 - 2*i + 90. Let m be n(0). Let x be (-8)/28 - 0 - m/(-21). What is the nearest to 0.2 in 0.5, -1/4, x?
0.5
Let g be 123 + 3 + 2 + 0. Let z be (-2)/((g/12)/(-4)). Which is the closest to -5/9? (a) -2 (b) 1 (c) z
c
Let r be (16/(-32))/((-1)/10). Suppose r + 19 = -6*h. What is the closest to 1/3 in 2/9, h, -0.2?
2/9
Let s = 4.09 - 0.09. Let p = -543523/40 + 13589. Let d = -9/8 + p. Which is the closest to -2/7? (a) d (b) -0.1 (c) s
a
Let s = 123 - 120. Let j = -0.17 - -0.28. Let q = j + -4.11. What is the nearest to -1 in 4, s, q?
q
Let a = -83 - -137. Let j = -52 + a. What is the nearest to -1/3 in -0.3, -17, j?
-0.3
Let b = -0.63 + 0.4. Let k = b - -0.63. What is the closest to -3 in 5, k, 0?
0
Let z = 0.94 - -0.06. Let g = 4.61 + 0.39. What is the nearest to 2/7 in z, g, 0.2?
0.2
Let x = -3 - -3.1. Let i = -4.98046 - 0.01954. Which is the nearest to -2/7? (a) -1/4 (b) i (c) x
a
Let j = 175 - 1227/7. What is the nearest to -0.48 in -0.4, j, -2?
-0.4
Let l = 236.3 - 235.3. What is the nearest to l in 1.1, -3/4, -0.7?
1.1
Let w be (-20)/168 + ((-44)/(-7) - 6). What is the nearest to 0 in w, -0.3, 2, 1?
w
Let i = 1.61 - 243.61. Let h = i - -234. Let s = 0.1 - -1.9. Which is the nearest to h? (a) s (b) 0.5 (c) 0.2
c
Let h = -1 - -4. Let m = -0.14 + 0.2. Let s be (-3)/(-7)*2/3. Which is the nearest to s? (a) m (b) h (c) 0.1
c
Let j = 37 + -36.5. Suppose 4 = 2*w - 0*w. Let q = 2 - w. Which is the nearest to q? (a) -5 (b) -1/4 (c) j
b
Let n = 173 - 177. Which is the nearest to n? (a) 4 (b) 1 (c) 2
b
Suppose -1 = -n - k, 0 = 4*k - 6*k - 10. What is the closest to n in -4, -1, -3, 3?
3
Let i = 12 - 8. Let n be (i/10)/(2/(-10)). Let p(j) = -2*j**2 - 14*j - 21. Let v be p(-5). Which is the nearest to n? (a) -0.4 (b) -2/11 (c) v
c
Let u be (2/9)/((-46)/9 + 6). What is the closest to u in 3/5, -1/4, -5, 1/3?
1/3
Suppose -22 = 2*c - 34. Let d be (3/c - -1)*(5 + -3). What is the closest to 0.3 in -1, d, -1/3?
-1/3
Let f = -24/107 - -417/428. Let s = -2.8 + 3. What is the nearest to 2 in s, f, 2/7?
f
Let z = -0.01 + -1.99. Let d(h) = -h**2 + h. Let w be d(-3). Let t be (w/(-136))/3*4. Which is the nearest to 2? (a) -4 (b) t (c) z
b
Let y = 197 + -198. Which is the closest to y? (a) -1/4 (b) 0 (c) -0.5 (d) -15
c
Suppose 7*m - 4*m = 12. Let y = -22 - -22. What is the nearest to -1/2 in 0.4, m, y?
y
Let f be ((-154)/(-8) - 13) + (3 - 1). Which is the nearest to 2/3? (a) f (b) -0.4 (c) -0.3
c
Suppose -3*k = 2*v - 21, 0*k + k - 2*v = -1. Let i = -469/3 - -157. What is the nearest to 1 in k, i, -1?
i
Let d = -2.449 - 0.071. Let q = -0.48 + d. What is the closest to 2 in q, 1/4, 3?
3
Let f be (-2)/(-4) - 155/6. Let y = -25 - f. Let p = 0.1 + -0.1. What is the nearest to p in 0.2, 2, y?
0.2
Let j = -0.04 - 0.16. Let s = -30 + 29. Which is the nearest to s? (a) 0 (b) j (c) 1
b
Let h = 23/123 + 6/41. What is the closest to 0.9 in 0.01, h, -1/4?
h
Suppose -4*w - 3*o + 4 = 0, 4*w + 16*o - 11*o + 4 = 0. Which is the closest to -4/9? (a) -7 (b) w (c) -2/5
c
Suppose 7*y - 20 = 5*y. Suppose -y - 2 = -4*a. Suppose 12 = 5*k - a. What is the nearest to -0.1 in k, 1, -2/5?
-2/
|
{
"pile_set_name": "DM Mathematics"
}
|
o + 13/6*o**3 - w*o**2 + 0. Differentiate c(n) wrt n.
13
Let k(g) be the second derivative of -2141*g**4/12 + 328*g**3/3 + 681*g. Find the second derivative of k(c) wrt c.
-4282
Let j be 52/234 + (75/27 - 2). Let p(k) = -k**2 - 22*k + 326. Let x(i) = i**2 + i - 6. Let n(y) = j*p(y) - 4*x(y). Differentiate n(v) wrt v.
-10*v - 26
Let v(c) be the first derivative of 41*c**4/2 - 4*c**3/3 - 111*c**2/2 - 83. Find the third derivative of v(h) wrt h.
492
Let h be 4*1/(11/((-44)/(-8))). Find the third derivative of -152 - 35*p**h - 111*p**6 + 80 + 72 wrt p.
-13320*p**3
Suppose -33*g - 25 + 124 = 0. What is the third derivative of -172557*h**g + 22*h**2 + 172557*h**3 - 44*h**5 wrt h?
-2640*h**2
Let b be (-15 - -9) + 5 + 3. Find the second derivative of -b*r + 85*r**5 - 63*r - 126*r wrt r.
1700*r**3
Let s(l) = -l**2 - 55*l - 290. Let q be s(-48). Find the third derivative of -79*m**2 - 24*m**5 - 80*m**5 - q*m**2 wrt m.
-6240*m**2
Let a(i) be the second derivative of -25*i**6 - 531*i**3 + 3010*i. Find the second derivative of a(j) wrt j.
-9000*j**2
Suppose -12 = p + 4*c, -4*p - 15*c = -16*c - 20. What is the third derivative of s + s**3 + p*s**2 - 3*s - 15*s**2 - 3*s**4 + 10*s**2 wrt s?
-72*s + 6
Let w(p) be the third derivative of 0*p**5 + 43/120*p**6 + 0*p**3 + 0*p + 19*p**2 + 7/8*p**4 + 0. Find the second derivative of w(q) wrt q.
258*q
Let a(o) be the second derivative of -7/2*o**2 - 3/10*o**5 + 0*o**4 + 2/15*o**6 - o + 0*o**3 + 24. Differentiate a(u) wrt u.
16*u**3 - 18*u**2
Suppose -2596 = -4*m - 2*v, -5*v + 1290 = 5*m - 3*m. Find the second derivative of -34*t + 650 - 97*t**4 - m wrt t.
-1164*t**2
Let x(i) = 2294*i**3 + 204*i**2 + 11. Let o(b) = -1147*b**3 - 103*b**2 - 5. Let d(n) = 10*o(n) + 6*x(n). Find the third derivative of d(w) wrt w.
13764
Let u(t) be the second derivative of -19/6*t**3 + 0*t**5 + 1/15*t**6 + 1 + 1/2*t**2 + 7*t + 1/6*t**4. What is the second derivative of u(a) wrt a?
24*a**2 + 4
Let f(g) be the second derivative of 99*g**5/4 - 331*g**2/2 - 486*g. Differentiate f(a) wrt a.
1485*a**2
Let p(w) = w**3 + 8*w**2 + w + 11. Let d be p(-8). Let z be 6 + d + (-15)/3. Find the second derivative of z*t**5 - 6*t**5 - 2*t**5 - 24*t wrt t.
-80*t**3
Let a be 0 + -2 - (-12 - -8). Suppose 3*f - 6 = -3, -a*f = -w. What is the second derivative of -14*n**3 - 13*n - 517*n**2 + 517*n**w wrt n?
-84*n
Let t(h) be the third derivative of 37*h**8/21 - h**4/24 - 341*h**3/6 + 724*h**2. Find the second derivative of t(c) wrt c.
11840*c**3
Let v(i) = -146*i**2 + 695*i - 3248. Let s(r) = -91*r**2 + 463*r - 2165. Let n(g) = 8*s(g) - 5*v(g). What is the first derivative of n(d) wrt d?
4*d + 229
Let x(u) be the third derivative of -311*u**6/60 + 64*u**3 + u**2 + 518*u. What is the derivative of x(j) wrt j?
-1866*j**2
Let r(v) be the third derivative of 0*v**4 - v**2 + 0*v + 44 + 7*v**3 + 0*v**5 - 4/5*v**6. What is the derivative of r(n) wrt n?
-288*n**2
Let a(r) be the second derivative of -1/2*r**5 - 70*r + 0 + 25*r**2 + 1/12*r**4 + 0*r**3. Find the first derivative of a(z) wrt z.
-30*z**2 + 2*z
Let g(t) be the first derivative of 11*t**7/7 - 118*t**5/5 - t**3 + 315*t + 2282. What is the third derivative of g(q) wrt q?
1320*q**3 - 2832*q
Let j(y) be the second derivative of 47*y**7/42 - y**6/5 + 143*y**4/12 + y**3/2 - 29*y + 1. What is the third derivative of j(i) wrt i?
2820*i**2 - 144*i
Let l(p) be the third derivative of 0 + 0*p**3 - 9/20*p**6 + 73/12*p**4 - 50*p**2 + 0*p + 1/30*p**5. What is the second derivative of l(s) wrt s?
-324*s + 4
Let h = -7 + 29. Let z be (-4116)/(-231) + 4/h. Differentiate z - 9*u**4 - 70*u**2 + 70*u**2 with respect to u.
-36*u**3
Let y be 11/(((-4)/4 - -4) + -2). Let x be (3 + y/(-3))*(-5 + 2). Find the third derivative of -2*w**4 - 4*w**4 + 7*w**4 - 2*w**4 - 22*w**x wrt w.
-24*w
Let h(m) be the second derivative of 31*m**6/15 + 21*m**5/20 - m**4/6 - 3481*m**2 - 6411*m. Find the first derivative of h(q) wrt q.
248*q**3 + 63*q**2 - 4*q
Let a(t) be the first derivative of 74*t**3/3 - 13*t**2 - 3899*t - 4392. Differentiate a(r) with respect to r.
148*r - 26
Let n = -285 + 290. Find the second derivative of 33*y + 15*y**n + 73*y**5 - 19*y + 5*y wrt y.
1760*y**3
What is the second derivative of -11*n + 2145*n**4 + 9*n - 2639 + 2*n**2 - 609*n**4 wrt n?
18432*n**2 + 4
Let d(g) = -641*g - 971. Let y(b) = -1280*b - 1903. Let x(u) = -5*d(u) + 2*y(u). Differentiate x(z) wrt z.
645
Let o be (-4)/(-7
|
{
"pile_set_name": "DM Mathematics"
}
|
hree letters picked without replacement from hjqwq. What is prob of picking 2 q and 1 h?
1/10
Calculate prob of picking 4 r when four letters picked without replacement from {m: 1, r: 6, p: 5, t: 3}.
1/91
What is prob of picking 1 s and 1 o when two letters picked without replacement from {s: 10, o: 9}?
10/19
Four letters picked without replacement from oxjilifl. Give prob of picking 2 l, 1 o, and 1 i.
1/35
What is prob of picking 1 r, 2 p, and 1 x when four letters picked without replacement from sxrpppzxmxm?
3/110
What is prob of picking 4 g when four letters picked without replacement from {q: 3, g: 9}?
14/55
What is prob of picking 1 s and 2 h when three letters picked without replacement from {g: 3, s: 2, h: 15}?
7/38
Two letters picked without replacement from wwlxwwwwbbbixwwxwww. Give prob of picking 1 w and 1 l.
11/171
What is prob of picking 2 i when two letters picked without replacement from {i: 10, b: 4}?
45/91
Calculate prob of picking 3 k and 1 f when four letters picked without replacement from fkckcfcckkcckcccck.
2/153
Calculate prob of picking 1 m, 1 g, and 2 v when four letters picked without replacement from {x: 1, n: 3, g: 3, v: 2, m: 2, e: 1}.
2/165
Calculate prob of picking 2 u when two letters picked without replacement from ucvccbccvvucu.
1/26
Two letters picked without replacement from oyldyylldolv. What is prob of picking 2 y?
1/22
What is prob of picking 1 q and 1 x when two letters picked without replacement from qqqqqqqqqqqqqxxxqq?
5/17
Two letters picked without replacement from qqmmq. Give prob of picking 1 m and 1 q.
3/5
Calculate prob of picking 1 q and 1 x when two letters picked without replacement from ggrggrqgrggrggxxg.
1/68
Two letters picked without replacement from {y: 3, n: 5}. Give prob of picking 2 y.
3/28
What is prob of picking 2 e and 2 z when four letters picked without replacement from zezzshetgghzzs?
10/1001
What is prob of picking 1 b and 3 j when four letters picked without replacement from wqwjjwwjwjwwwwwwb?
1/595
Two letters picked without replacement from {z: 1, u: 11, j: 2, w: 1}. Give prob of picking 1 z and 1 j.
2/105
Two letters picked without replacement from {n: 1, g: 8, o: 5, a: 4}. Give prob of picking 2 o.
10/153
Four letters picked without replacement from {d: 2, k: 14, b: 1}. Give prob of picking 2 d and 2 k.
13/340
Two letters picked without replacement from {f: 2, u: 18}. What is prob of picking 2 f?
1/190
Three letters picked without replacement from {u: 3, p: 2, o: 3, k: 1, x: 1, h: 2}. Give prob of picking 2 p and 1 k.
1/220
Four letters picked without replacement from {s: 3, v: 7}. Give prob of picking 3 v and 1 s.
1/2
Two letters picked without replacement from {p: 7, f: 6, y: 1, x: 3}. Give prob of picking 1 y and 1 x.
3/136
Calculate prob of picking 2 n when two letters picked without replacement from {w: 2, n: 18}.
153/190
Three letters picked without replacement from {k: 2, s: 17}. What is prob of picking 1 s and 2 k?
1/57
Calculate prob of picking 2 r and 1 a when three letters picked without replacement from {m: 2, a: 4, r: 2}.
1/14
Two letters picked without replacement from {y: 8, g: 4, c: 1}. Give prob of picking 1 c and 1 y.
4/39
Calculate prob of picking 1 n and 1 o when two letters picked without replacement from knnoppmmnnnmnn.
1/13
Two letters picked without replacement from hhhhwwtawhwf. Give prob of picking 1 w and 1 f.
2/33
Calculate prob of picking 2 a and 2 m when four letters picked without replacement from xmaqz.
0
Calculate prob of picking 1 h, 2 p, and 1 a when four letters picked without replacement from {h: 2, p: 9, o: 2, a: 5}.
2/17
Two letters picked without replacement from {y: 2, s: 4, u: 1}. What is prob of picking 1 s and 1 u?
4/21
Four letters picked without replacement from nyynyenyeenenne. What is prob of picking 2 n and 2 y?
6/91
What is prob of picking 1 x, 1 b, and 1 y when three letters picked without replacement from {y: 3, x: 10, b: 2}?
12/91
Four letters picked without replacement from ttkkktxtxktxwwxw. What is prob of picking 1 t, 2 x, and 1 w?
9/182
What is prob of picking 2 f when two letters picked without replacement from vxxhxlxfxxxvflhllh?
1/153
Four letters picked without replacement from {s: 4, o: 1, u: 5}. What is prob of picking 3 o and 1 s?
0
Calculate prob of picking 1 c and 3 f when four letters picked without replacement from fllfflllllflffcll.
1/119
Three letters picked without replacement from {y: 1, r: 1, n: 1, g: 2, m: 1, i: 1}. What is prob of picking 1 g, 1 n, and 1 i?
2/35
What is prob of picking 1 a and 2 v when three letters picked without replacement from {g: 4, a: 2, x: 2, h: 2, v: 3, k: 1}?
3/182
Calculate prob of picking 1 o, 1 a, and 2 m when four letters picked without replacement from cucamddcdadcumacumuo.
3/1615
Four letters picked without replacement from ffjplfjjjlfjjjjjjlj. Give prob of picking 1 l, 2 f, and 1 j.
33/646
What is prob of picking 1 c and 1 d when two letters picked without replacement from {d: 1, c: 2}?
2/3
Three letters picked without replacement from {b: 3, g: 1, a: 1, m: 2, v: 5}. What is prob of picking 1 g, 1 a, and 1 v?
1/44
Two letters picked without replacement from quduupujjjqjzpjjqdp. What is prob of picking 1 q and 1 u?
4/57
Four letters picked without replacement from ksffsljkjljfkjsj. What is prob of picking 3 f and 1 k?
3/1820
What is prob of picking 2 e and 2 j when four letters picked without replacement from oojejoojooooj?
0
Four letters picked without replacement from nxnkkunkzdu. What is prob of picking 1 k, 1 x, and 2 n?
3/110
What is prob of picking 2 t and 1 r when three letters picked without replacement from rrrtrrrrtr?
1/15
What is prob of picking 2 u when two letters picked without replacement from {c: 12, u: 3}?
1/35
Two letters picked without replacement from colcocococot. What is prob of picking 1 c and 1 o?
25/66
Two letters picked without replacement from kxzzkxxnxwxxnxzxw. What is prob of picking 1 x and 1 z?
3/17
Two letters picked without replacement from {z: 5, c: 6, b: 3, v: 2, h: 1, e: 3}. Give prob of picking 1 v and 1 h.
1/95
Calculate prob of picking 1 o and 1 m when two letters picked without replacement from {o: 3, j: 2, d: 9, a: 1, r: 3, m: 1}.
1/57
What is prob of picking 2 f, 1 z, and 1 h when four letters picked without replacement from {a: 1, f: 3, j: 2, z: 5, p: 3, h: 1}?
1/91
Two letters picked without replacement from akoa. What is prob of picking 1 k and 1 o?
1/6
Three letters picked without replacement from xcotoxtxxoxxxo. What is prob of picking 2 x and 1 c?
3/52
Calculate prob of picking 4
|
{
"pile_set_name": "DM Mathematics"
}
|
.
6*m**2 - m + 1
Collect the terms in 25 + 18 - 43 + 5*w + 6*w.
11*w
Collect the terms in v**3 + 52 - 10*v**2 + 39 - 5*v**2.
v**3 - 15*v**2 + 91
Collect the terms in 13 - 30 + 17 + 117*d.
117*d
Collect the terms in -59*i + 0*i + 19*i + 20*i + 17*i.
-3*i
Collect the terms in 28*w**2 - 490*w**3 + 34*w**3 - 28*w**2.
-456*w**3
Collect the terms in 2*k + 707543415 - 707543415.
2*k
Collect the terms in 340 + 10*u**2 + 7*u**2 - 18*u**2.
-u**2 + 340
Collect the terms in -23*g - 4*g + 25*g + 2*g - 93*g**2.
-93*g**2
Collect the terms in 123*c + 19 - 142*c - 19.
-19*c
Collect the terms in 2359*b + 2302*b - 4637*b.
24*b
Collect the terms in -8276*w - 8277*w + 16556*w.
3*w
Collect the terms in 35*a**2 + 37*a**2 + 121*a**3 - 72*a**2.
121*a**3
Collect the terms in 89 + 55*m - 31 - 58 + m**2.
m**2 + 55*m
Collect the terms in 1397*q**2 + 34*q**2 + 16*q - 16*q.
1431*q**2
Collect the terms in -6*a**3 - 4*a**3 - 2*a**3 + 28*a**3 + 16*a**3.
32*a**3
Collect the terms in -245*j**2 - 251*j**2 - 269*j**2 + 761*j**2 - 20*j**3.
-20*j**3 - 4*j**2
Collect the terms in 152*y**2 - 42*y**2 - 3*y**3 + 6*y**3 - 49*y**2 - 61*y**2.
3*y**3
Collect the terms in -3 + 3 + 4 - 2482*w - 1 - 2.
-2482*w + 1
Collect the terms in 655*q - 200*q - 249*q - 205*q.
q
Collect the terms in 119869877 - 119869877 - 5*u**3.
-5*u**3
Collect the terms in 21888388 - 153*v**2 - 21888388 + 153*v**2 - 2*v**3.
-2*v**3
Collect the terms in 13*s**3 + 0*s**2 + s**2 + 31*s - 4*s**3 + 2*s.
9*s**3 + s**2 + 33*s
Collect the terms in 23*k**3 + 6*k**3 - 45*k**3 + 13*k**3.
-3*k**3
Collect the terms in -1055*m - 172*m + 327*m - 1066*m.
-1966*m
Collect the terms in -2*y**3 - 8*y**3 - 4 - 8 + 12.
-10*y**3
Collect the terms in -6785*o + 6885*o - 14759*o.
-14659*o
Collect the terms in 0*g**3 - 12*g**3 + 29*g**3 - 9*g**3.
8*g**3
Collect the terms in -1753*w + 847*w + 884*w.
-22*w
Collect the terms in 21*p + 9*p + 7*p + 21*p + 8 - 47*p.
11*p + 8
Collect the terms in -129*z - 159*z + 32*z - 28*z.
-284*z
Collect the terms in 3193*d**3 - 6392*d**3 + 3188*d**3.
-11*d**3
Collect the terms in -55*a - 6*a + 59*a + 3*a.
a
Collect the terms in 2*d**3 + 219*d + 418 - 219*d.
2*d**3 + 418
Collect the terms in 36700*d**2 - 18324*d**2 - 18380*d**2.
-4*d**2
Collect the terms in v - 4*v - 2*v - 220 + 249.
-5*v + 29
Collect the terms in -39*p + 3 - 1 + 69*p + 46*p.
76*p + 2
Collect the terms in -33 - 47*b**3 - 6*b + 27 + 3*b + 2*b.
-47*b**3 - b - 6
Collect the terms in 1 - 1 + 7897*b**2 - 6*b**3 - 7833*b**2.
-6*b**3 + 64*b**2
Collect the terms in 3265 - 6568 + 3303 - 6*u - 13*u.
-19*u
Collect the terms in -6552*w**2 - 15474*w**2 + 10621*w**2 - 14301*w**2.
-25706*w**2
Collect the terms in 92014*d**2 + 1 - 92004*d**2 - 1.
10*d**2
Collect the terms in 124*j**2 - 292021*j + 292021*j.
124*j**2
Collect the terms in 60*f - 20 - 62*f + 19.
-2*f - 1
Collect the terms in 72*x + 5*x**3 + 78*x - 239*x + 89*x.
5*x**3
Collect the terms in -12*h - 14*h**3 - 4*h**3 + 8*h**3 + 12*h.
-10*h**3
Collect the terms in -9*k**3 - 2014 - 9*k**3 + 1555.
-18*k**3 - 459
Collect the terms in -10 - 2 + 10 - 964*b**2.
-964*b**2 - 2
Collect the terms in -209*w - 311*w + 516*w.
-4*w
Collect the terms in 106*z + 28 - 221*z + 115*z + 0*z**2 + z**2.
z**2 + 28
Collect the terms in 9*j + 16*j - 53*j - 10*j - 54*j.
-92*j
Collect the terms in -30*j**2 - 26*j**2 - 21*j**2 + 42*j**2.
-35*j**2
Collect the terms in 28*w**3 + 33*w**3 + 18*w**2 + 27*w**3 - 85*w**3 - 77*w**2.
3*w**3 - 59*w**2
Collect the terms in -10 - 15 - 32353*k + 25.
-32353*k
Collect the terms in 8*f**2 + 39575 + 534*f - 7*f**2 - 534*f - 39575.
f**2
Collect the terms in 10906*o**2 + 42*o**3 + 20*o**3 + 97*o**3 - 10906*o**2.
159*o**3
Collect the terms in -151*n**2 + 5 + 186*n**2 - 3 - 2 + 4*n**3.
4*n**3 + 35*n**2
Collect the terms in 3*p - 29*p + 19*p - 2*p + 6*p + 5*p.
2*p
Collect the terms in -883*l + 29611*l + 16057*l.
44785*l
Collect the terms in 0*r**2 + 408250*r - 408250*r + 0*r**2 + 3*r**3.
3*r**3
Collect the terms in -40 - 220*m**3 - 46 + 86 + 221*m**3.
m**3
Collect the terms in -398*w + 203*w + 197*w - 198*w**2.
-198*w**2 + 2*w
Collect the terms in -144*d - 147*d - 136*d + 452*d.
25*d
Collect the terms in -7 - 131*u**2 - 2 + 7 + 2.
-131*u**2
Collect the terms in -42*w - 38*w
|
{
"pile_set_name": "DM Mathematics"
}
|
ivisor of m and j.
4
Suppose -9*z + 120 = 3*z. What is the highest common divisor of 90 and z?
10
Let q(g) = g**2 - 17*g + 98. Let n be q(7). What is the highest common divisor of n and 77?
7
Let b = -4 + 73. Let m = 121 - b. Calculate the greatest common divisor of 78 and m.
26
Let z be (2 - 0)*(-75)/(-10). Suppose -5*g + z = -0*g. Let b be (-3)/((-1)/(56/g)). What is the highest common factor of b and 14?
14
Suppose -3*j + 2*c = -5*j + 12, -c + 26 = 3*j. Calculate the highest common factor of 98 and j.
2
Suppose -w = -0*w - 3. Suppose w*a = 8 + 4. Suppose 116 = 4*d + a. Calculate the greatest common factor of 280 and d.
28
Suppose 19*v - 89 + 13 = 0. What is the greatest common divisor of 22 and v?
2
Let s(i) = i**3 + 10*i**2 + 8*i - 9. Let o be s(-8). Let r be 187/44 - 15/(-20). Calculate the greatest common factor of o and r.
5
Suppose 0 = -3*m + 376 - 76. Let o = m - 28. Calculate the greatest common divisor of o and 48.
24
Suppose -3*q + 14 = 2, -q = -5*s - 29. Let n(r) = -r**3 - 5*r**2 - 9*r + 11. Let f be n(s). What is the greatest common divisor of 28 and f?
28
Let h = -211 - -137. Let u = h - -102. What is the greatest common divisor of 14 and u?
14
Suppose -4*q - 4*a = 4, 2*a - 7*a - 29 = -q. Suppose -64 = -4*b - q*y, -5*b - 3*y = -37 - 37. Let p = 17 - b. Calculate the highest common divisor of p and 8.
4
Let k = 35 - 41. Let n(h) = -6*h - 12. Let u be n(k). Calculate the greatest common divisor of 84 and u.
12
Let m(c) = 3*c + 9. Let i be m(7). Let r(z) = -z**2 + 4. Let o be r(-2). Suppose -h - h + i = o. What is the greatest common divisor of h and 15?
15
Let u = -35 - -44. Let n be 17 - -1 - (-7 + u). What is the greatest common factor of n and 8?
8
Suppose y + 4*g - 16 + 12 = 0, 0 = 2*y + 4*g - 16. Calculate the greatest common factor of 8 and y.
4
Suppose -v = 3*y + 284, 5*v + 1 + 9 = 0. Let k be (y + -2)*10/8. Let u = 296 + k. Calculate the greatest common factor of 16 and u.
16
Let n be (0 - 6)/((-4 - -3) + -1). Suppose -n*q + 54 + 15 = p, -5*q + 104 = -2*p. What is the highest common divisor of 66 and q?
22
Suppose -4*w = -8*w + 4. Let u be (-2)/(-1) - (-72)/w. Suppose 0 = 4*k - u + 14. What is the highest common factor of k and 60?
15
Suppose -2*j = 4*z - 78, -3*j = -0*j - 3*z - 117. What is the highest common divisor of 26 and j?
13
Let i = 11 - 11. Suppose -k - 31 = -2*r, -k = -i*r - 5*r + 73. Let c = r + -6. Calculate the greatest common divisor of 8 and c.
8
Suppose -3*c = -9, -6*c + 60 = 4*b - 2*c. What is the greatest common divisor of b and 84?
12
Suppose 0 = -6*d + 333 - 69. Calculate the greatest common factor of d and 22.
22
Suppose 11*u + 96 = 13*u + j, -5*u + 251 = -3*j. Calculate the greatest common factor of 7 and u.
7
Suppose 0 = -3*r + 6 + 3. Suppose -5*t + r*z = -z - 330, -132 = -2*t + 5*z. Calculate the highest common factor of 6 and t.
6
Suppose -14*j + 2380 = -0*j. What is the greatest common divisor of 51 and j?
17
Let y = 93 - 50. Let z be y/5 - 6/(-15). Calculate the highest common factor of 9 and z.
9
Let n(i) = -4*i - 2. Let f be n(-2). Let o be 306/21 + -8*(-27)/504. What is the greatest common factor of f and o?
3
Suppose 2*k = d + 306, 6*d - 10*d + 765 = 5*k. Calculate the greatest common factor of 119 and k.
17
Let j be 42/(-14)*2/3. Let l be ((-3)/(-9))/(j/(-72)). What is the greatest common divisor of 4 and l?
4
Suppose 0 = 5*l - 22 - 3. Suppose 0 = -p + 2*p. Suppose p = 5*b + 116 - 391. Calculate the highest common divisor of b and l.
5
Suppose 0 = 3*n + 11 + 19. Let q = n - -19. What is the greatest common factor of q and 72?
9
Let v be (1 - (-1 + 230)) + -1. Let z(w) = -w**3 + 12*w**2 - 5*w + 20. Let u be z(12). Let j = u - v. What is the greatest common divisor of 21 and j?
21
Suppose -5*h = 3*y - 167 + 41, 2*y + 3*h - 84 = 0. Let p = 60 + -32. What is the greatest common divisor of y and p?
14
Suppose -5*a - b - 37 = -142, -40 = -3*a + 4*b. What is the highest common divisor of 5 and a?
5
Let x = -87 + 114. Let z = 3 - 0. Calculate the greatest common divisor of x and z.
3
Suppose 0 = 3*h - 0*h - 15, 28 = 3*i - 4*h. Let z be (-12)/(-42) - (-208)/(-532) - 7620/(-190). Calculate the greatest common factor of z and i.
8
Let k = 12 - -2. Let v be k/(-35) - 2/(-5). Suppose -5*h + 9*h - 736 = v. What is the greatest common divisor of h and 23?
23
Suppose 2*j = 1067 + 727. Calculate the greatest common divisor of 39 and j.
39
Let b be (-16 - -16)*1/(-2). Suppose -2*j = -b*j - 96. What is the greatest common divisor of 6 and j?
6
Let i = 145 - 35. Let x be 10*((3 - 0) + -2). Calculate the greatest common divisor of x and i.
10
Let v(k) = -k**3 - 7*k**2 - 2*k - 5. Let n be v(-7). Let a = 972 + -963. What is the greatest common divisor of a and n?
9
Suppose 0 = 5*r - 2*q - 136, 2*r - 4*q - 18 = 46. Suppose -9 = 2*j + 15. Let f be 345/9 - 8/j. What is the greatest common factor of r and f?
13
Suppose -m - 228 = -3*q, -5*q + 390 = -9*m + 4*m. Calculate the greatest common divisor of q and 175.
25
Suppose l + 62 = 121. What is the greatest common factor of 590 and l?
59
Suppose 0 = -5*i + 120 + 480. Let p be (-7 - 2)/3 - -41. Let n = p + -8. Calculate the greatest common factor of n and i.
30
Suppose -2*h = -7*h + 70. Let s(r) = 2*r**3 + 4*r**2 - 2*r. Let a be s(2). Calculate the greatest common factor of h and a.
14
Let p(s) = 12*s - 265. Let x be p(32). Suppose 3*h = 2*v - 69, -2*h + 0*
|
{
"pile_set_name": "DM Mathematics"
}
|
e the prime factors of 39244819?
157, 249967
What are the prime factors of 37591854?
2, 3, 6265309
List the prime factors of 81982561.
81982561
List the prime factors of 90721647.
3, 3360061
What are the prime factors of 90960507?
3, 11, 918793
What are the prime factors of 32161534?
2, 641, 25087
What are the prime factors of 42081559?
13, 23, 140741
What are the prime factors of 71699958?
2, 3, 11, 19, 6353
List the prime factors of 1214228390.
2, 5, 109, 1113971
List the prime factors of 623330240.
2, 5, 13, 149839
What are the prime factors of 122501680?
2, 5, 7, 23, 9511
List the prime factors of 489276.
2, 3, 13591
List the prime factors of 2290410124.
2, 617, 928043
List the prime factors of 127943108.
2, 61, 181, 2897
List the prime factors of 3491207354.
2, 59, 269, 109987
List the prime factors of 421379111.
47, 8965513
List the prime factors of 97873172.
2, 157, 155849
What are the prime factors of 80205259?
80205259
List the prime factors of 139980343.
139980343
List the prime factors of 80765754.
2, 3, 29, 464171
What are the prime factors of 377535668?
2, 94383917
What are the prime factors of 342991018?
2, 181, 919, 1031
What are the prime factors of 76586667?
3, 241, 105929
What are the prime factors of 118962413?
17, 6997789
List the prime factors of 94080714.
2, 3, 7, 13, 37, 4657
What are the prime factors of 320542290?
2, 3, 5, 3561581
List the prime factors of 47031963.
3, 11, 101, 103, 137
List the prime factors of 1460463912.
2, 3, 6761407
What are the prime factors of 116619875?
5, 29, 53, 607
What are the prime factors of 1038945723?
3, 346315241
What are the prime factors of 277965363?
3, 13, 41, 131, 1327
List the prime factors of 267838795.
5, 7, 23, 313, 1063
What are the prime factors of 1708867261?
1708867261
List the prime factors of 163429936.
2, 41, 249131
List the prime factors of 278925033.
3, 92975011
What are the prime factors of 82109379?
3, 11, 23, 251, 431
What are the prime factors of 253717135?
5, 7, 223, 32507
List the prime factors of 33500475.
3, 5, 148891
List the prime factors of 1046567181.
3, 11, 157, 202001
What are the prime factors of 15302358?
2, 3, 59, 1601
List the prime factors of 200241039.
3, 66747013
What are the prime factors of 3179240770?
2, 5, 823, 386299
List the prime factors of 387539122.
2, 29, 31, 67, 3217
What are the prime factors of 2027740?
2, 5, 11, 13, 709
What are the prime factors of 48976480?
2, 5, 7, 6247
What are the prime factors of 486937821?
3, 162312607
What are the prime factors of 193037747?
7, 27576821
List the prime factors of 58581043.
58581043
What are the prime factors of 675895590?
2, 3, 5, 834439
List the prime factors of 298419884.
2, 7, 2039, 5227
What are the prime factors of 1821891174?
2, 3, 37, 47, 283, 617
List the prime factors of 344313874.
2, 157, 1096541
What are the prime factors of 1522994631?
3, 507664877
List the prime factors of 1399748749.
7, 2203, 12967
What are the prime factors of 8097479?
13, 31, 71, 283
What are the prime factors of 182833469?
7, 13, 233, 8623
List the prime factors of 49379031.
3, 13, 140681
What are the prime factors of 142689287?
13, 10976099
List the prime factors of 6808066.
2, 3404033
List the prime factors of 49330531.
107, 241, 1913
List the prime factors of 3705203653.
23, 103, 1564037
What are the prime factors of 3212774131?
7, 463, 141613
List the prime factors of 134295520.
2, 5, 29, 103, 281
What are the prime factors of 14921430?
2, 3, 5, 43, 269
List the prime factors of 694579860.
2, 3, 5, 13, 43, 59
List the prime factors of 1338019314.
2, 3, 14563, 15313
What are the prime factors of 96643422?
2, 3, 1789693
What are the prime factors of 25320323?
7, 1471, 2459
List the prime factors of 33594521.
33594521
List the prime factors of 3845191395.
3, 5, 256346093
List the prime factors of 6359107.
6359107
List the prime factors of 22307772.
2, 3, 41, 45341
What are the prime factors of 44576819?
7, 909731
What are the prime factors of 317633718?
2, 3, 1597, 33149
List the prime factors of 434939805.
3, 5, 9665329
What are the prime factors of 77957138?
2, 7, 17, 73, 641
List the prime factors of 55768534.
2, 17, 19, 131, 659
What are the prime factors of 33126512?
2, 43, 89, 541
What are the prime factors of 604975519?
9157, 66067
What are the prime factors of 1872092190?
2, 3, 5, 17, 3670769
List the prime factors of 156541150.
2, 5, 3130823
List the prime factors of 273343672.
2, 7, 97, 50321
What are the prime factors of 141539535?
3, 5, 17, 61673
List the prime factors of 373505958.
2, 3, 7, 988111
What are the prime factors of 628722832?
2, 17, 373, 6197
What are the prime factors of 1054193082?
2, 3, 10111, 17377
What are the prime factors of 13431269?
2417, 5557
List the prime factors of 4313812.
2, 107, 10079
List the prime factors of 58530980.
2, 5, 47, 71, 877
List the prime factors of 351284643.
3, 59, 661553
List the prime factors of 1480243580.
2, 5, 83, 499, 1787
What are the prime factors of 184549320?
2, 3, 5, 107, 1597
List the prime factors of 199040213.
109, 241, 7577
What are the prime factors of 636055765?
5, 17, 440177
What are the prime factors of 84238759?
11, 719, 10651
List the prime factors of 2891475970.
2, 5, 199, 1453003
What are the prime factors of 301656583?
11783, 25601
List the prime factors of 3222298.
2, 67, 139, 173
What are the prime factors of 700584603?
3, 17, 37, 139, 2671
What are the prime factors of 57486483?
3, 79, 26951
List the prime factors of 458401058.
2, 47, 4876607
List the prime factors of 1392283489.
1453, 958213
What are the prime factors of 260528022?
2, 3, 41, 117673
What are the prime factors of 413950739?
19, 277,
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3) + 9*h + 50 - 50 to o*h + b and give o.
10
Rearrange -i - i**2 - 10088*i**3 - 2 + 10093*i**3 + i**2 + 0*i to the form l + p*i + u*i**3 + m*i**2 and give l.
-2
Express ((1 - 1 - 2*i)*(i**3 + 2*i**2 - 2*i**2) - i**2 - 2*i**4 + i**2)*(-15 - 119 - 94) in the form u + z*i**3 + v*i**2 + r*i + j*i**4 and give j.
912
Rearrange -5*d + 5*d - 2777*d**2 + 3513*d**2 to p*d + a + y*d**2 and give y.
736
Express y + y - y + (3 - 2*y - 3)*(-2 + 1 + 4) + 0 + 0 + 3*y + 79*y - 59*y + 74*y in the form x + a*y and give a.
92
Express -5*v**4 - v + v + 0*v + 2*v**4 + 0*v + (5*v**2 + 4*v**2 - v**2)*(v**2 - v**2 - 5*v**2) as f + x*v + o*v**3 + y*v**4 + d*v**2 and give d.
0
Express -1 - 84817*n + 84817*n - 2*n**2 + 10*n**3 as o*n**2 + y*n**3 + p + f*n and give y.
10
Express 209*d + 5 - 210*d - 5 as w + p*d and give p.
-1
Rearrange 69 + 0*q**3 - 185*q + 185*q - q**3 - 2*q**3 to v*q**3 + k*q + p*q**2 + c and give c.
69
Rearrange -7 - 5 + 14 - 11 - 2*f + 9*f**2 to i + q*f**2 + g*f and give g.
-2
Express -o**4 + 2*o - 2 + 13*o**3 - 4 + 6 - 27*o**3 in the form l*o**2 + k*o**4 + x*o + q*o**3 + z and give q.
-14
Rearrange (2*z - z - 2*z)*(-71*z + 18*z - 30*z) + 11*z**2 - 7 + 7 to the form j*z + o + d*z**2 and give d.
94
Rearrange 11 - 8 - 2 - 72*d**2 + 4 + 24*d**2 to the form s + w*d**2 + p*d and give w.
-48
Rearrange -863*i + 377*i + 204*i to the form h + t*i and give t.
-282
Express k**2 + 9 + 11 - 7 + 2*k + 2 in the form h*k + y*k**2 + g and give y.
1
Rearrange 265 + 111*b + b**2 + 116*b - 228*b to the form x*b + i + h*b**2 and give h.
1
Rearrange 19 - 246*g**2 + 248*g**2 - 19 to d*g**2 + i*g + a and give a.
0
Express (h + 0*h + 3*h + (h - h + 5*h)*(1 - 35 + 4))*(0*h**2 + 0*h**2 - 2*h**3) as v*h**2 + j + y*h + z*h**4 + b*h**3 and give z.
292
Express (3 + 2 - 4)*(-24*r + 13*r + 34*r)*(0*r - 2*r + 18*r) as c + x*r**2 + b*r and give c.
0
Rearrange (-1 + 3 - 4)*(-4 + 4 + q) + 3*q - 3*q - q + 105*q - 573*q + 189*q + 89*q to w*q + x and give w.
-193
Express -26*l**4 + 1555*l**3 - 3113*l**3 - l**2 + 2*l + 1558*l**3 + 2 as c + t*l**4 + k*l**3 + x*l**2 + i*l and give i.
2
Rearrange -3*w**2 + 0*w**2 - 7*w + 18 + 8*w + 0*w**2 to the form z*w**2 + b + h*w and give b.
18
Express 13 - 13 - 1728*l + 2104*l as j*l + k and give j.
376
Express -2*w + 5*w - 5*w + (-2 - 2 + 3)*(w + w + 0*w) + 2*w - w + w - 1 - 2*w + 1 - 4*w - 17 + 17 + (1 - 29 + 8)*(-5*w - 2*w + 4*w) as v + m*w and give m.
52
Express 2*r**2 + 104*r + 7*r**2 - 77*r - 3*r**2 - 4*r**2 + 4 in the form s*r + f + v*r**2 and give v.
2
Rearrange (-11 + 22 + 23)*(-2*g - 2*g + 6*g) + (1 - 2 - 1)*(-3 + 3 + g) - 5*g + 5 - 5 to m + x*g and give x.
61
Rearrange 58*y - 170*y + 157 + 57*y + 52*y to the form s + b*y and give b.
-3
Rearrange (-7*a**3 + 4*a**3 + 2*a**3 + 11*a**2)*(-7*a + 18*a + 15*a) to the form s*a + m + o*a**3 + p*a**4 + w*a**2 and give p.
-26
Rearrange -1 + 2 - 1 - 84*u + (-u + 0*u + 0*u)*(2 + 3 - 6) to the form w + t*u and give t.
-83
Express -7 + 1205546*z**4 - 2*z**2 - 4*z + 2*z - 1205551*z**4 + 2*z**3 in the form w*z + k + v*z**2 + o*z**4 + a*z**3 and give a.
2
Express -2*k**2 - 4*k**2 + 5*k**2 + (-45 + 45 + 12*k)*(2*k - k + 0*k) as b*k + l*k**2 + q and give l.
11
Rearrange 61*q**3 + 2*q + 1489*q**2 - 1489*q**2 - 17*q**3 to the form b*q + g*q**2 + f*q**3 + k and give b.
2
Rearrange -425 - 109*f + 425 + 3*f**2 - 4*f**2 to v + d*f + m*f**2 and give m.
-1
Express (8*u + 8*u - 12*u)*(1 + 2 - 1)*(-4 + 3 + 6) in the form k + t*u and give t.
40
Express 0 - 66 + 66 - 569*q as m*q + a and give a.
0
Express r**2 + 3*r**2 - 2*r**2 + (6 - 2 - 3)*(r**2 - 3*r + 3*r) + (-2 + 2 + 3*r**2)*(-5 + 0 - 2) in the form q*r**2 + z*r + h and give q.
-18
Express 24 + 24 + 3*r**3 - 51 + 0*r**3 - 2*r - 4*r**2 as w*r**2 + g + n*r + s*r**3 and give g.
-3
Express 15 - 46 - 6823*z + z**3 - 574 + 6823*z as h*z**2 + m + q*z + w*z**3 and give m.
-605
Express (-3*q + 7*q - 3*q)*(0*q**2 - 5*q**2 + 4*q**2) + q**2 - 3*q**2 + 2*q**2 - 87*q**3 as o*q + x*q**2 + h + s*q**3 and give x.
0
Rearrange -128 - 4*z - 137
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1)**2*(p + 31)**2/11
Let d(f) be the first derivative of -2*f**3/51 - 42*f**2/17 - 882*f/17 + 253. Factor d(a).
-2*(a + 21)**2/17
Let r(i) = -3*i**2 - i. Let t(g) = 27*g**2 + 428*g + 120. Let b(x) = -2*r(x) - t(x). Let b(q) = 0. Calculate q.
-20, -2/7
Let f(c) be the second derivative of c**5/48 + 5*c**4/12 + 10*c**3/3 - 7*c**2/2 + 4*c. Let o(g) be the first derivative of f(g). Solve o(s) = 0 for s.
-4
Let l = -94 - -96. Let j(y) be the first derivative of -3/4*y**l - 3/8*y**4 + 4/3*y**3 - y + 1. Factor j(w).
-(w - 2)*(w - 1)*(3*w + 1)/2
Let y(w) be the third derivative of 0*w**3 + 0*w**4 + 0 - 18*w**2 + 1/30*w**6 - 1/5*w**5 + 0*w. Factor y(r).
4*r**2*(r - 3)
Let q(l) be the third derivative of 0*l**3 + 0 + 0*l**5 + l**2 - 1/14*l**4 + 1/280*l**6 + 0*l. Find p, given that q(p) = 0.
-2, 0, 2
Let j(v) be the second derivative of -v**7/147 + v**6/35 - v**5/35 - v**4/21 + v**3/7 - v**2/7 + 72*v. Factor j(i).
-2*(i - 1)**4*(i + 1)/7
Find y, given that 8*y - 14 + 71*y - 6 - 20*y**2 + 6*y = 0.
1/4, 4
Let t be (-272)/28 + 2/(-7). Let c(o) = 5*o + 50. Let q be c(t). Suppose -1/4*m**2 + q*m + 1/4 = 0. What is m?
-1, 1
Let w(n) = n**3 - 6*n**2 - 2*n + 14. Let o be w(6). Factor -19*g**2 - 3*g**4 - 21*g - 12*g**o - 6 + 6*g**2 - 15*g**3 - 2*g**2.
-3*(g + 1)**3*(g + 2)
Suppose -2 = -o + 3*r - 0, 4*r = 0. Solve -20*i + 3 + 47 - 6*i**o + 5*i**2 + 3*i**2 = 0 for i.
5
Let m be (-46)/((-1)/(-176)*6730). Let p = -2/673 - m. Factor p + 9/5*k + 3/5*k**2.
3*(k + 1)*(k + 2)/5
Let i(m) = 2*m - 1. Let k(p) = -p**3 - p**2 + 30*p + 9. Let t(z) = 28*i(z) - 4*k(z). Factor t(h).
4*(h - 4)*(h + 1)*(h + 4)
Let f(v) = -3*v**2 - v + 26. Let y be f(-5). Let p be 2*((-228)/y + -5). Find z, given that 0*z - p*z**2 - 14/11*z**3 + 18/11*z**4 + 0 = 0.
-2/9, 0, 1
Let q be 56 + -61 + 31/6. Let h(g) be the first derivative of 3 + 2*g**2 + 1/12*g**6 - q*g**3 - 2*g + 1/10*g**5 - 5/8*g**4. Solve h(c) = 0.
-2, 1
Let b(g) be the first derivative of -49 - 27/2*g**2 - 6*g - 4*g**3. Factor b(l).
-3*(l + 2)*(4*l + 1)
Factor 0*a + 0 + 2/9*a**3 - 2/9*a**2.
2*a**2*(a - 1)/9
Factor z**3 + 18 + 2 + 5*z + 10 + 4*z**3 - 20*z**2.
5*(z - 3)*(z - 2)*(z + 1)
Let p(o) be the second derivative of -o**7/70 - 9*o**6/50 - 18*o**5/25 - 4*o**4/5 + 2*o - 15. Determine j, given that p(j) = 0.
-4, -1, 0
Let n be (-4)/28 + (3 - 5986/2100). Let s(p) be the third derivative of -1/60*p**4 + 0 + 0*p + n*p**5 - 2/15*p**3 + 5*p**2. Factor s(g).
2*(g - 2)*(g + 1)/5
Let k = 3194/3 + -1062. Let g(i) be the first derivative of 5 + 2/15*i**5 + 8/3*i**2 - 1/3*i**4 - k*i - 2/3*i**3. Factor g(c).
2*(c - 2)*(c - 1)**2*(c + 2)/3
Let y(k) be the second derivative of 0*k**2 + 0*k**5 + 7*k + 1/3*k**4 + 0*k**3 + 0 - 2/15*k**6. Factor y(g).
-4*g**2*(g - 1)*(g + 1)
Solve -128*u**3 - 64*u - 24*u**2 - 112*u**2 - 72*u**2 - 20*u**4 = 0.
-4, -2, -2/5, 0
Let z(w) = -6*w + 14. Let p be z(-3). Suppose -4*o = -40 + p. Factor 2/3 + 7/3*r + r**o.
(r + 2)*(3*r + 1)/3
Let -21/8 - 87/8*d - 3/2*d**2 = 0. What is d?
-7, -1/4
Let n = 53/675 - 1/225. Let c(m) be the first derivative of -2 + 4/9*m**4 - n*m**3 - 2/9*m**5 - 2/9*m**2 + 0*m. Suppose c(u) = 0. Calculate u.
-2/5, 0, 1
Let z(q) be the first derivative of 3*q**4/8 + 5*q**3/2 + 3*q**2/2 - 12*q - 177. Let z(x) = 0. What is x?
-4, -2, 1
Let y(a) be the second derivative of -a**4/30 - 14*a**3/3 - a - 92. Solve y(g) = 0 for g.
-70, 0
Let h(q) = 15*q**2 - 2*q**2 - 58*q - 79*q - 11. Let z(a) = 5*a**2 - 46*a - 4. Let y(b) = 4*h(b) - 11*z(b). Solve y(l) = 0.
-14, 0
Let y(q) be the first derivative of -51 + 2/11*q + 10/11*q**2 + 50/33*q**3. Factor y(a).
2*(5*a + 1)**2/11
Let f(y) be the second derivative of -y**6/90 - y**5/15 - y**4/18 + 2*y**3/9 + y**2/2 + 2*y - 6. Suppose f(j) = 0. Calculate j.
-3, -1, 1
Let g = 5/6 + -5/42. Let x(n) be the first derivative of 54/7*n**2 + 6 + 2/35*n**5 + 54/7*n + g*n**4 + 24/7*n**3. Factor x(j).
2*(j +
|
{
"pile_set_name": "DM Mathematics"
}
|
p.
20
Solve -55195 - 9896 = 2564*w + 11829 for w.
-30
Solve 80*w = 12*w + 1110 - 498 for w.
9
Solve -5599*x + 5127*x = 13216 for x.
-28
Solve -22559 + 36914 + 137006 = 2378*y + 11059 for y.
59
Solve 21209 = -1442*c + 87699 + 11378 for c.
54
Solve 161*b + 294*b + 7670 = -326*b + 14*b for b.
-10
Solve -456*n + 179*n - 7082 - 27958 = 453*n for n.
-48
Solve -43*u = -2683*u + 28462 + 124385 + 87393 for u.
91
Solve -32*p + 57*p = -371*p - 263*p - 71831 for p.
-109
Solve -426*p - 8764 - 7047 = 4637 for p.
-48
Solve 465*a = 976*a + 557*a + 50196 for a.
-47
Solve -541*i + 534*i - 52581 = -406*i - 632*i for i.
51
Solve -513*y - 4397 = -5619 - 26993 for y.
55
Solve -1105 = 75*n + 95 for n.
-16
Solve -40*o + 2193 = 43*o + 17*o - 6507 for o.
87
Solve 392 - 654 = 52*d - 574 for d.
6
Solve 0 = 4497931*c - 4498273*c + 29754 for c.
87
Solve 32668 = 245*i + 113*i - 5280 for i.
106
Solve 367*h - 12367 = -213*h - 72*h + 7193 for h.
30
Solve -410*j + 17666 - 24226 = 0 for j.
-16
Solve 88*u - 40517 = -1219*u for u.
31
Solve -41 + 284 = 18*j - 95 - 4 for j.
19
Solve -778*f + 3645 - 6261 = -18547 - 20635 for f.
47
Solve 5044*m + 84491 + 78779 = -2067*m + 28161 for m.
-19
Solve -272*i = 3*i + 1346*i + 42146 for i.
-26
Solve 775 = 996*m - 1027*m for m.
-25
Solve 9531 = 51*n + 9990 for n.
-9
Solve -12136*s + 12439*s = 12120 for s.
40
Solve 17*n - 782*n - 37104 - 460 = 686 for n.
-50
Solve 42407 + 298 = 454*a + 483 for a.
93
Solve -3799 = 916*o + 781 for o.
-5
Solve 887*y + 516*y = 56526 + 23445 for y.
57
Solve 124*c + 61*c - 1295 = 150*c for c.
37
Solve -289*y + 5603 - 3291 = 0 for y.
8
Solve 0 = 299*x + 2562*x + 1508*x - 415*x + 15816 for x.
-4
Solve 3148*i = 231448 - 70900 for i.
51
Solve 54*k + 160*k = -115*k + 329 for k.
1
Solve -1836*z = -1779*z - 5700 for z.
100
Solve 53*i + 936 - 6441 = 420*i for i.
-15
Solve 86*t - 185*t + 19 = -476 for t.
5
Solve 1205 - 10001 + 571 = 235*k for k.
-35
Solve -1531*x + 84106 = 4494 for x.
52
Solve -20828 - 50277 + 9849 = 1178*f for f.
-52
Solve -1208*o - 2770*o + 676096 = 4918*o for o.
76
Solve 14024 + 138743 = 4265*u - 56904 - 37699 for u.
58
Solve 125*o + 302*o = -587*o + 35490 for o.
35
Solve 98*f + 108 + 1839 + 33 + 78 = 0 for f.
-21
Solve 14*j = -35*j - 147*j - 5292 for j.
-27
Solve -53*a + 165*a - 58*a + 1242 = 0 for a.
-23
Solve 426*d - 90*d - 1140 = 51*d for d.
4
Solve 0 = -1018*k + 40049 + 3725 for k.
43
Solve -112*f + 2247 = -415*f - 11691 for f.
-46
Solve -28*u = 108*u + 1592 + 6840 for u.
-62
Solve 312*k + 78*k + 20210 = -40*k for k.
-47
Solve 542*m + 471*m = 785*m + 20748 for m.
91
Solve -813*o = -11525 + 103394 for o.
-113
Solve 66143 + 231609 = 2863*t for t.
104
Solve -84*h - 147*h - 3612 = 97*h - 244*h for h.
-43
Solve -14739*r = -14379*r + 7920 for r.
-22
Solve -464*b + 783 = 42*b - 479*b for b.
29
Solve -399*v + 29096926 = 29098921 for v.
-5
Solve -75*z - 611377 = -609352 for z.
-27
Solve 112*k + 304 - 637 = 2131 for k.
22
Solve -1497 - 2558 = 125*c + 3445 for c.
-60
Solve -415*i + 9840 - 11933 - 14580 - 14037 = 0 for i.
-74
Solve -443*s = 30742 - 8149 for s.
-51
Solve 1818*a - 7000 = 1468*a for a.
20
Solve -349*t - 242814 = -255378 for t.
36
Solve 3166*w + 143616 = 5342*w for w.
66
Solve -19432*w = -18763*w - 5352 for w.
8
Solve 1679 + 2621 = -770*o - 1090 for o.
-7
Solve -297*i - 10069 = -24*i + 3286 + 7666 for i.
-77
Solve -36*b - 47*b - 6844 = -63*b + 216*b for b.
-29
Solve 126091*a + 2156 = 126168*a for a.
28
Solve 6*x - 354 = 261 + 316 - 1009 for x.
-13
Solve 64147 - 50809 = 351*i for i.
38
Solve -6348*p + 6380*p = 0 for p.
0
Solve 28*g - 195 - 73 = 162*g for g.
-2
Solve 611*h - 105*h - 25575 = 41*h for h.
55
Solve 2050*b + 64274 + 30887 = -2024 + 13135 for b.
-41
Solve -29605 = -1281*l + 326*l for l.
31
Solve -14*n + 1207 + 1207 = 75*n + 723 for n.
19
Solve -216*z + 1315 = 1246*z - 80557 for z.
56
Solve 387 - 2359 + 519 = -4001*y + 2548 for y.
1
Solve 1373*x - 6305*x + 29592 = 0 for x.
6
Solve -649*c + 2616 - 1318 = 0 for c.
2
Solve -705*c - 735*c = 75*c - 25755 for c.
17
Solve 4862 + 62538 = -2696*t for t.
-25
Solve 15667 + 34283 - 11359 = -1279*y - 16406 for y.
-43
Solve 4762*a + 849*a = 370326 for a.
66
Solve 0 = -1287*u + 24154 - 62764 for u.
-30
Solve -404*n = -125*n + 100*n + 121*n - 22000 for n.
44
Solve 477360 = 979402*f - 976282*f for f.
153
Solve -261*x - 232811 + 75959 = -2374*x - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
nding order.
-7, -0.3, 2.7, 2820
Sort -0.5, -101/7, 0.07, 2017 in descending order.
2017, 0.07, -0.5, -101/7
Sort 5, -3, -1, -49, -7, 4 in decreasing order.
5, 4, -1, -3, -7, -49
Put 172, 5549, -2, 12 in decreasing order.
5549, 172, 12, -2
Sort 219, 4, -2221, -3 in decreasing order.
219, 4, -3, -2221
Put 5/3, 4/7, -5.76, -1, 1/6, -3 in increasing order.
-5.76, -3, -1, 1/6, 4/7, 5/3
Put -7, 3413, -40 in ascending order.
-40, -7, 3413
Sort 190, -52, -2, 3, -4.
-52, -4, -2, 3, 190
Sort 69096, -66, 1/6, 5, 1 in decreasing order.
69096, 5, 1, 1/6, -66
Sort 1902, -11, 4, -5.
-11, -5, 4, 1902
Sort -2/9, -7, 0, 1/3105, 5.
-7, -2/9, 0, 1/3105, 5
Sort -4, -7, -135441, 4, 3, 5, -2 in increasing order.
-135441, -7, -4, -2, 3, 4, 5
Put -23142, 2, -2, 1, -3, 4 in decreasing order.
4, 2, 1, -2, -3, -23142
Sort -10, -11, -212/37 in ascending order.
-11, -10, -212/37
Put -2, -1557, 43, -3, 4 in increasing order.
-1557, -3, -2, 4, 43
Sort -5, -2.02477, -14.4.
-14.4, -5, -2.02477
Sort -1/2, -1.4, 591, -4, -5 in increasing order.
-5, -4, -1.4, -1/2, 591
Sort -78, 239, -1, -3, -11, 0, 1 in decreasing order.
239, 1, 0, -1, -3, -11, -78
Sort 2/9, 417, -15243 in decreasing order.
417, 2/9, -15243
Sort 5, 4/5, -0.5, 0, 140130, 24.8 in decreasing order.
140130, 24.8, 5, 4/5, 0, -0.5
Sort 463886, 3, 1, -4 in increasing order.
-4, 1, 3, 463886
Sort 3, 4, 2, -5, 1757 in descending order.
1757, 4, 3, 2, -5
Put -15113, 5, -0.5, -15 in decreasing order.
5, -0.5, -15, -15113
Sort -578053, 9, 0.5.
-578053, 0.5, 9
Sort -32, -2, 4, 5, -31, 0, -34 in ascending order.
-34, -32, -31, -2, 0, 4, 5
Put 22019, -3, -5, -11, -321 in descending order.
22019, -3, -5, -11, -321
Sort 255, 3, -301762.
-301762, 3, 255
Put -1, -6, -59, 2, -8, 21 in decreasing order.
21, 2, -1, -6, -8, -59
Sort -3, -0.26, -9, -1/8, 0.2418 in increasing order.
-9, -3, -0.26, -1/8, 0.2418
Sort -2, 5, -39, -1, -0.2426.
-39, -2, -1, -0.2426, 5
Sort 43, -1, 4, -4, 2312 in ascending order.
-4, -1, 4, 43, 2312
Put -5, 5, 1762929, 9 in decreasing order.
1762929, 9, 5, -5
Sort -9/10, 10197, 0.7 in ascending order.
-9/10, 0.7, 10197
Sort 51, 4872, 588 in decreasing order.
4872, 588, 51
Put 3, -0.8179, -4, -6 in decreasing order.
3, -0.8179, -4, -6
Put 0.05, -5/3, -13.6019 in increasing order.
-13.6019, -5/3, 0.05
Put 4, -5, 125, -0.5, -453/4, -4 in decreasing order.
125, 4, -0.5, -4, -5, -453/4
Put 286273, 186, 5 in decreasing order.
286273, 186, 5
Sort -798, -2, 113691 in decreasing order.
113691, -2, -798
Sort -13, -298, -3, 9.
-298, -13, -3, 9
Put 1937416, 6, -2 in descending order.
1937416, 6, -2
Put 97, 3/8, 0.015, 1/2 in ascending order.
0.015, 3/8, 1/2, 97
Put -0.1, -0.01, 4724920 in descending order.
4724920, -0.01, -0.1
Put 49990, -4, -46 in increasing order.
-46, -4, 49990
Sort 8, 10, 3, -2/59 in ascending order.
-2/59, 3, 8, 10
Sort -549, 53, -56 in descending order.
53, -56, -549
Sort 6042, 7, 2, -4, 18 in decreasing order.
6042, 18, 7, 2, -4
Sort -5, -3, 14, 4, -193, 5.
-193, -5, -3, 4, 5, 14
Sort -648, -97, 25, 6 in ascending order.
-648, -97, 6, 25
Sort -2, 5089, 1860 in descending order.
5089, 1860, -2
Sort 0, -1039, 5, -5, -4, -11 in decreasing order.
5, 0, -4, -5, -11, -1039
Put 0.5, 0.47, -1, 31/1521, 1 in descending order.
1, 0.5, 0.47, 31/1521, -1
Sort -78023, -33, 2, -5, 0 in decreasing order.
2, 0, -5, -33, -78023
Put 4, 14, -2, 27, -5, -1 in ascending order.
-5, -2, -1, 4, 14, 27
Sort -3, -4, -786, -3/7, -2, 14 in ascending order.
-786, -4, -3, -2, -3/7, 14
Put -411, 201, -2 in decreasing order.
201, -2, -411
Put 288, 2/3, -0.5, 303.6 in ascending order.
-0.5, 2/3, 288, 303.6
Sort -1, -26, -137, 31, 0 in increasing order.
-137, -26, -1, 0, 31
Sort -0.119, -11, -3, -724 in ascending order.
-724, -11, -3, -0.119
Sort -1247/124, 0, 0.2, -3/5, -2/13 in decreasing order.
0.2, 0, -2/13, -3/5, -1247/124
Put -0.1, -1045/27197, -0.3 in increasing order.
-0.3, -0.1, -1045/27197
Sort -3, -13, 1374, 5, 52, 4 in descending order.
1374, 52, 5, 4, -3, -13
Sort -2, 16, 52, 1, 4, -8 in ascending order.
-8, -2, 1, 4, 16, 52
Put -3, -2, -4, -83544, 5, 76, 3 in decreasing order.
76, 5,
|
{
"pile_set_name": "DM Mathematics"
}
|
value of -9 - (0 + 3) - (77 - (1 + 23 - 4))?
-69
Calculate -4 + 3 + (-797 - -819).
21
What is (-2 + -4 - (7 + -38 + 18 + 0)) + -26?
-19
Evaluate 24 + (9 - 21 - (0 + -2)) + -4.
10
What is -57 + 106 + -62 + (1 - -26)?
14
What is the value of -20 + (54 - 6) - 11?
17
Evaluate 1 + -31 - ((12 - (-12 + 0)) + -13).
-41
Calculate (29 - 51) + (-9 + 0 + 16 - 2 - 16).
-33
What is the value of 16 + -8 - (-77 + (2 - 1) - (-99 - -98))?
83
Calculate -8 - (8 + -1 - (-175 - -185)) - (-44 - 1).
40
What is -73 + 0 + -15 + 28 + -36 + 7?
-89
Evaluate 119 - (61 - (-1 + 34)).
91
What is the value of -2 + (1 - -45) - (-67 + 32 + 45 + -2)?
36
Evaluate (14 - (-27 - -21 - -14) - -38) + -1.
43
Evaluate 7 + 5 + -4 - 3 - (14 - (-3 - 40)).
-52
What is -10 + 20 + -124 + 30?
-84
Evaluate (-11 - -1) + (-18 - 13) + 4 + 21 + -20.
-36
What is 6 + 22 + 20 + 25 + -30?
43
Evaluate 44 - (-20 + 14 + 1 - (-21 + 13)).
41
What is the value of (10 + 14 - 8) + -9 - (-6 + 18)?
-5
85 + (-57 - -168) - 110
86
Evaluate -98 + 16 - -215 - 29.
104
Calculate -32 + (44 - 47) + 81.
46
1 + -3 + 9 - (-4 + 23 + -6) - -32
26
What is -23 - (33 + -48) - (1 - 8) - 5?
-6
Evaluate -26 - (-1 + -1 + (-41 - -44 - 3) - -3).
-27
What is 110 + (-63 - 151) - -21?
-83
Evaluate -436 + 522 - (-2 - -3 - 29).
114
Evaluate 17 + -1 + (80 - 162 - -82) - -15.
31
What is the value of 17 + -1 + (576 - 577) + (-1 - 18)?
-4
Evaluate -4 + 37 + -67 - -46.
12
Evaluate -12 - (1 + -4) - (-38 + 37) - 0.
-8
What is (16 - 5) + 0 + -1 + (-24 - 30) + 26?
-18
What is 136 + -104 + (1 - (-3 + -1) - 4)?
33
What is -4 + (1 + 68 - 87)?
-22
What is the value of 1 + -26 + (-17 - -79) + -96?
-59
What is 2 - -83 - (1 + -5 - (1198 - 1220))?
67
What is the value of (11 - -16) + (-5 - (-11 - 0)) - -2?
35
What is the value of -12 + -19 - (13 + -24 - 10)?
-10
Evaluate (-21 - 99) + 78 - -83.
41
What is 26 + 4 + 6 + -51?
-15
Calculate 4 - (-45 - (6 - 52)).
3
Calculate (-12 + -1 - (-138 + 42 - 3)) + 9.
95
What is the value of -33187 + 33176 - ((1 - 2 - -2) + -40)?
28
Evaluate -1 - (-1 + -10 + 19) - 4 - (-18 - 78).
83
Evaluate -54 + (10 - -22) + 92 + 33.
103
-1 + (13 - 19) + 38
31
Calculate (23 - -28) + 9 + -2 + -13.
45
What is the value of -1 - -5 - (43 + -47) - (57 - 67)?
18
What is the value of 13 - (4 + -6) - -7 - 3?
19
What is 72 + 0 + 3 - (-444 + 469)?
50
Evaluate 704 + -655 - (7 - -1).
41
What is the value of -490 - -621 - (97 + -2)?
36
Calculate -17 + 6 + (40 - 18) - -1 - (7 + -76).
81
What is the value of 0 - 46 - (-77 - -19)?
12
Calculate -4 - (21 + -3 - (90 + -30 + 39)).
77
Calculate -18 - 0 - (90 - (166 + -66)) - (103 + -2).
-109
70 - (-23 + -46 + 61)
78
What is 11 + (32 - (12 + -23) - 12 - 8)?
34
Calculate (2 - 4) + -16 + (4 - -43) + -18.
11
What is -48 - (9 + -19 - (9 - (15 - 0)))?
-44
Evaluate (-15 - -6) + (19 - (-7 - -2)) - -50.
65
Evaluate 54 + -6 - (250 - 247).
45
What is -3493 + 3548 + (-93 - 0)?
-38
Evaluate 0 + (-15 - 0) - (-11549 - -11569).
-35
Calculate -25 + -1 + (-17 - (-23 - (-18 - (-2 - 1)))).
-35
27 - (10 - -10) - (33 + -4 + 0)
-22
Calculate -8 + -7 + (-17 - -39) - -89.
96
Evaluate 9 - (24 + -14) - 15 - (21 - 66).
29
What is the value of -27 - ((-17 - 1) + -6) - -41?
38
Calculate (-29 - -56) + (-43 - -119).
103
Evaluate 14 + (-10 - -5) - (-11 - 11 - 5).
36
What is the value of -1 + 75 + -20 + 13 + 8 - (16 + -6)?
65
What is the value of -24 - (5 - ((19 - -22) + 14))?
26
What is the value of 63 - (-69 + -6 + 208)?
-70
Calculate (2 - 1) + 1159 + -1147 + -23.
-10
0 + (6 - (-8 - (-30 + 18)))
2
22 + (31 - (11 + 10)) - (1 + 7 + 1)
23
Evaluate (15 - 1) + 111 + -104 - 33.
-12
(21 - ((39 - 71) + -23)) + (-2 + -5 - -1)
70
(4 + -14 - 9) + (21 - 44)
-42
Evaluate (-856 - -965) + (4 - 2 - (3 - (-7 + 2))).
103
Evaluate 39 + -19 + 33 + 13 + (-16 - -2).
52
71 - (24 - (27 - 33))
41
Calculate (-10 + 38 - 7) + -26 + -3 + -57.
-65
Calculate -1 - 6 - (-88 + 70) - (-3 - -17) - 23.
-26
What is 50 + 0 - (-16 - ((39 + -16 - 12) + -24))?
53
What is the value of -23 + (43 + -21 - -7) - -29?
35
What is the value of -25 - -3 - ((28 - 37) + 32)?
-45
What is 17 + 0 + 44 + -56 + 10?
15
Evaluate -2 + -9 + 14 + -3 - (-4 + 2) - 37.
-35
Calculate 33 - (24 + 62) - -49.
-4
34 + -44 - (-80 + 23)
47
What is the value of -23 + 41 - (-6 - 2 - (-42 + 34))?
18
What is the value of (1 + -34 + -11 - (2 - 7)) + 13?
-26
What is the value of -21 + (33 - 8 - 15) - (3 + 26)?
-40
What is 16 + -42 + 49 + -50?
-27
What is -16 - (-5 + -12 + (6 - -12))?
-17
Calculate (-50 - 1) + ((-17 - -42) + -36 - -20).
-42
|
{
"pile_set_name": "DM Mathematics"
}
|
1 + 29006.
237216*l**3
Collect the terms in -11*r + 632 - 18*r - 9*r + 22*r.
-16*r + 632
Collect the terms in -6 - 7 - 4381*q + 0 + 42 - 27.
-4381*q + 2
Collect the terms in 184479*w**2 - 368998*w**2 + 184419*w**2.
-100*w**2
Collect the terms in 241 - 2533 + 18*x - 98*x - 567.
-80*x - 2859
Collect the terms in -141560412*x - 17*x**3 + 141560412*x.
-17*x**3
Collect the terms in 58498553*d - 116997090*d + 15*d**3 + 58498537*d.
15*d**3
Collect the terms in -184 + 184 + 9825*o**3 + 318*o**2 - 318*o**2.
9825*o**3
Collect the terms in 184022 - 184022 - 142540*i.
-142540*i
Collect the terms in 3*n + 4397*n**2 - n - 2 - 960*n**2.
3437*n**2 + 2*n - 2
Collect the terms in -5298 + 2674 + 2659 - 63*m**2.
-63*m**2 + 35
Collect the terms in 30*d**2 + 41558064 - 41558064.
30*d**2
Collect the terms in 6*g - 7*g + 14*g + 25*g - 98*g**2 - 3*g.
-98*g**2 + 35*g
Collect the terms in -134*g + 3*g - 2 - 214*g + 7.
-345*g + 5
Collect the terms in -1240845*w + 331972*w + 723 - 723.
-908873*w
Collect the terms in 76546*g**3 - 38414*g**3 - 38314*g**3.
-182*g**3
Collect the terms in -39455 - 27800 + 16571 + 5*z - 7*z - 65384.
-2*z - 116068
Collect the terms in -1204038 - 62*y**3 + 602017 + 26*y**3 + 602021 + 23*y**3.
-13*y**3
Collect the terms in -i + 28*i**2 + 28*i**2 + 45*i**2 - 53*i**2 - 11*i - 49*i**2.
-i**2 - 12*i
Collect the terms in 58 - 4*a**3 + 187*a - 194*a + 87.
-4*a**3 - 7*a + 145
Collect the terms in -308312957*t**2 + 308312985*t**2 + 5*t - 5*t.
28*t**2
Collect the terms in -61 + 47 - 188 - 320*t.
-320*t - 202
Collect the terms in -1208*r - 4*r**2 + 67 - 45 - 22.
-4*r**2 - 1208*r
Collect the terms in 431*y + 7 - 859*y + 435*y + 15*y**2.
15*y**2 + 7*y + 7
Collect the terms in -505 + 506 - 30048*z + 383718*z.
353670*z + 1
Collect the terms in -5*o**2 + 2*o**2 - 19580637*o + o**2.
-2*o**2 - 19580637*o
Collect the terms in 153 - 458 - 2*m**3 + 1346240*m - 1346240*m + 152 + 153.
-2*m**3
Collect the terms in 4 - 40*d**2 + 21*d**2 + 23*d**2 + 23752*d - 23752*d.
4*d**2 + 4
Collect the terms in -2 + 93*v + 8 - 17 + 4 + 7.
93*v
Collect the terms in -43*t**3 + 140616923927*t - 140616923927*t.
-43*t**3
Collect the terms in 843*l**3 + 1172 - 4682 + 1175 + 1165 + 1168 - l**2.
843*l**3 - l**2 - 2
Collect the terms in -1 + 1458*j + 2 - 5184*j - 5.
-3726*j - 4
Collect the terms in -30 - 36*w**3 - 28*w**3 - 18*w**3 + 136 + 138 + 87*w**3.
5*w**3 + 244
Collect the terms in 3*r - r + 509308 - 507086.
2*r + 2222
Collect the terms in -8*p**2 - 4*p + 3*p + 688 + 332 - p.
-8*p**2 - 2*p + 1020
Collect the terms in 800140196 - 29*z + 327*z - 800140196.
298*z
Collect the terms in -121 - 7*l + 78 + 3*l + 38*l**2 - 4*l.
38*l**2 - 8*l - 43
Collect the terms in 5718 - 9*c + 14*c - 6*c + c - 2*c**3 + c.
-2*c**3 + c + 5718
Collect the terms in 4992*p + 5687*p - 20789*p + 6730*p.
-3380*p
Collect the terms in -14*z**2 + 117*z**2 - 2*z - 304*z**2 + 12.
-201*z**2 - 2*z + 12
Collect the terms in -32167*l**3 + 97053*l**3 - 32710*l**3 - 32175*l**3.
l**3
Collect the terms in -65*o - 19*o**2 - 17*o**2 + 78*o + 26*o**2.
-10*o**2 + 13*o
Collect the terms in -1 - 1693*q**2 + q - 2*q + 31*q**2 - 2*q - 312*q**2.
-1974*q**2 - 3*q - 1
Collect the terms in 42 - 85922*w - 18 + 85933*w - 47 + 4*w**2 - 186.
4*w**2 + 11*w - 209
Collect the terms in -21*j**2 - 17067*j - 17590*j + 34657*j - j**3.
-j**3 - 21*j**2
Collect the terms in -y - 16899 + 5400 + y + y + 6090 + 5409.
y
Collect the terms in -149*t**3 - 1549414 + 1549414 - 25*t**3.
-174*t**3
Collect the terms in 240*v + 44*v**2 - 23*v**2 - 2*v**3 + 243*v - 483*v - 14*v**2.
-2*v**3 + 7*v**2
Collect the terms in -113*y - 1140*y - 376*y.
-1629*y
Collect the terms in -3026*b**3 + 3022*b**3 - 1033 - 3860.
-4*b**3 - 4893
Collect the terms in 261*p**2 - 776*p**2 + 514*p**2.
-p**2
Collect the terms in -137*y**2 + 921*y**2 - 111*y**2 - 232*y**2 - 244*y**2 + 2*y**3.
2*y**3 + 197*y**2
Collect the terms in 10242*z - 161 + 161 - z**2.
-z**2 + 10242*z
Collect the terms in -7887*u - 45160*u + 5034*u.
-48013*u
Collect the terms in -600 + 600 + 14*n**3 + 486994*n**2 - 486994*n**2.
14*n**3
Collect the terms in 85 + 34 - 361791*u**3 - 119.
-361791*u**3
Collect the terms in -96270 + 797*x - 123*x + 96270.
674*x
Collect the terms in 244743*g**2 + 467 + 468 - 935.
244743*g**2
Collect the terms in 1990 + 289 + 2611 + 2487 + 12*k**3.
12*k**3
|
{
"pile_set_name": "DM Mathematics"
}
|
19669 to the nearest integer?
3
What is 781 to the power of 1/2, to the nearest integer?
28
What is the square root of 9660 to the nearest integer?
98
What is the fifth root of 224 to the nearest integer?
3
What is 1242 to the power of 1/10, to the nearest integer?
2
What is the third root of 1424 to the nearest integer?
11
What is 48055 to the power of 1/5, to the nearest integer?
9
What is 37693 to the power of 1/6, to the nearest integer?
6
What is 24 to the power of 1/7, to the nearest integer?
2
What is 18 to the power of 1/2, to the nearest integer?
4
What is 15981 to the power of 1/2, to the nearest integer?
126
What is 5713 to the power of 1/7, to the nearest integer?
3
What is the third root of 1335 to the nearest integer?
11
What is 2691 to the power of 1/8, to the nearest integer?
3
What is 230 to the power of 1/5, to the nearest integer?
3
What is 1067 to the power of 1/8, to the nearest integer?
2
What is the square root of 3217 to the nearest integer?
57
What is 20977 to the power of 1/2, to the nearest integer?
145
What is 165712 to the power of 1/2, to the nearest integer?
407
What is 12622 to the power of 1/2, to the nearest integer?
112
What is the third root of 95065 to the nearest integer?
46
What is the square root of 7150 to the nearest integer?
85
What is 112127 to the power of 1/7, to the nearest integer?
5
What is the eighth root of 21470 to the nearest integer?
3
What is 27715 to the power of 1/2, to the nearest integer?
166
What is the square root of 114248 to the nearest integer?
338
What is the tenth root of 2785 to the nearest integer?
2
What is the tenth root of 14676 to the nearest integer?
3
What is the third root of 51312 to the nearest integer?
37
What is the cube root of 6282 to the nearest integer?
18
What is the third root of 1665 to the nearest integer?
12
What is 4842 to the power of 1/4, to the nearest integer?
8
What is 142578 to the power of 1/3, to the nearest integer?
52
What is the third root of 515 to the nearest integer?
8
What is the third root of 532 to the nearest integer?
8
What is the tenth root of 2088 to the nearest integer?
2
What is the square root of 2788 to the nearest integer?
53
What is the seventh root of 994 to the nearest integer?
3
What is the tenth root of 5158 to the nearest integer?
2
What is 8430 to the power of 1/8, to the nearest integer?
3
What is the square root of 2860 to the nearest integer?
53
What is the eighth root of 49674 to the nearest integer?
4
What is the cube root of 11036 to the nearest integer?
22
What is 5620 to the power of 1/3, to the nearest integer?
18
What is the square root of 18468 to the nearest integer?
136
What is 2181 to the power of 1/7, to the nearest integer?
3
What is the square root of 21776 to the nearest integer?
148
What is 1062 to the power of 1/8, to the nearest integer?
2
What is the third root of 2317 to the nearest integer?
13
What is the seventh root of 3881 to the nearest integer?
3
What is the square root of 36164 to the nearest integer?
190
What is the square root of 60058 to the nearest integer?
245
What is 188 to the power of 1/9, to the nearest integer?
2
What is the square root of 7457 to the nearest integer?
86
What is 64589 to the power of 1/5, to the nearest integer?
9
What is 12916 to the power of 1/6, to the nearest integer?
5
What is the fifth root of 18494 to the nearest integer?
7
What is the cube root of 46561 to the nearest integer?
36
What is 4255 to the power of 1/7, to the nearest integer?
3
What is 40 to the power of 1/2, to the nearest integer?
6
What is 35027 to the power of 1/7, to the nearest integer?
4
What is 46288 to the power of 1/4, to the nearest integer?
15
What is 22937 to the power of 1/4, to the nearest integer?
12
What is the fourth root of 2653 to the nearest integer?
7
What is the square root of 311 to the nearest integer?
18
What is the cube root of 850 to the nearest integer?
9
What is the third root of 2538 to the nearest integer?
14
What is the square root of 16410 to the nearest integer?
128
What is 1421 to the power of 1/2, to the nearest integer?
38
What is 8796 to the power of 1/6, to the nearest integer?
5
What is the ninth root of 1321 to the nearest integer?
2
What is the square root of 22743 to the nearest integer?
151
What is the third root of 1269 to the nearest integer?
11
What is the square root of 13857 to the nearest integer?
118
What is 29967 to the power of 1/3, to the nearest integer?
31
What is the square root of 923 to the nearest integer?
30
What is 71850 to the power of 1/3, to the nearest integer?
42
What is the square root of 485 to the nearest integer?
22
What is the square root of 5890 to the nearest integer?
77
What is the fourth root of 942 to the nearest integer?
6
What is the cube root of 48131 to the nearest integer?
36
What is the square root of 6336 to the nearest integer?
80
What is the cube root of 436 to the nearest integer?
8
What is 43350 to the power of 1/2, to the nearest integer?
208
What is the square root of 83 to the nearest integer?
9
What is 289 to the power of 1/6, to the nearest integer?
3
What is the cube root of 3985 to the nearest integer?
16
What is 30805 to the power of 1/7, to the nearest integer?
4
What is the sixth root of 826 to the nearest integer?
3
What is 991 to the power of 1/2, to the nearest integer?
31
What is the tenth root of 9820 to the nearest integer?
3
What is the square root of 1926 to the nearest integer?
44
What is 491 to the power of 1/2, to the nearest integer?
22
What is 38906 to the power of 1/10, to the nearest integer?
3
What is the ninth root of 96916 to the nearest integer?
4
What is 3142 to the power of 1/4, to the nearest integer?
7
What is 8251 to the power of 1/2, to the nearest integer?
91
What is 15974 to the power of 1/8, to the nearest integer?
3
What is 29109 to the power of 1/2, to the nearest integer?
171
What is the ninth root of 24462 to the nearest integer?
3
What is 11264 to the power of 1/9, to the nearest integer?
3
What is 1150 to the power of 1/3, to the nearest integer?
10
What is the tenth root of 15136 to the nearest integer?
3
What is 6307 to the power of 1/3, to the nearest integer?
18
What is the cube root of 1193 to the nearest integer?
11
What is the fifth root of 2065 to the nearest integer?
5
What is 38776 to the power of 1/4, to the nearest integer?
14
What is 13664 to the power of 1/2, to the nearest integer?
117
What is 1559 to the power of 1/7, to the nearest integer?
3
What is 123054 to the power of 1/2, to the nearest integer?
351
What is the sixth root of 686 to the nearest integer?
3
What is 9972 to the power of 1/3, to the nearest integer?
22
What is 544 to the power of 1/5, to the nearest integer?
4
What is the square root of 11010 to the nearest integer?
105
What is 14484 to the power of 1/3, to the nearest integer?
24
What is the third root of 2187 to
|
{
"pile_set_name": "DM Mathematics"
}
|
Express 5*u**2 + 6*u - 6*u + (1 - 1 + 1)*(84*u + 185*u**2 + 24*u - 186*u**2) as w + a*u + c*u**2 and give a.
108
Rearrange 118*k + 184*k + 123*k to the form r*k + c and give r.
425
Rearrange 90*d - 17*d + 47*d to the form m + j*d and give m.
0
Express (82 - 47*b - 82)*(5 + 1 - 5)*(0 + 1 + 5 + (-2 + 0 + 3)*(2 - 1 - 3))*(-2 + 1 - 1) in the form u*b + n and give u.
376
Express -2 - 1379*h + 0 + 1379*h - 88*h**2 in the form m + a*h + s*h**2 and give s.
-88
Express -54*w - 2 - 5*w**2 + 6*w**3 + 3*w**2 + 54*w in the form k*w + v*w**2 + i*w**3 + t and give i.
6
Rearrange -6*s**2 - 116502 - 36*s**3 + 116502 to m + h*s + a*s**2 + k*s**3 and give a.
-6
Rearrange 22*q**2 - 612*q**4 + 203*q**4 + 203*q**4 + 8*q + 204*q**4 to y + s*q**3 + k*q**4 + f*q + h*q**2 and give k.
-2
Express (-11 - v + 11)*(-6*v + 0*v + 4*v)*(-4*v**2 - 19*v**2 - v**2) in the form a + d*v**4 + c*v**2 + m*v**3 + u*v and give d.
-48
Express -44*k**2 - 111*k**3 + 123*k**2 - 40*k**2 - 3*k - 42*k**2 as u*k**2 + b + c*k**3 + p*k and give c.
-111
Express (2*h**2 - 4 + 4)*(3*h - 2*h - 2*h) + 4*h**3 + 869 - 41*h - 869 in the form j*h**2 + n*h**3 + k + p*h and give p.
-41
Rearrange (3 + 2 - 2)*(l**2 - 187 + 187) to the form d*l**2 + r + h*l and give d.
3
Rearrange -88 + 178 - 5*l**4 - 7*l - 87 + 4*l**4 - 2*l**2 to the form f*l + b + p*l**2 + v*l**4 + i*l**3 and give v.
-1
Express ((-2 + 2 - 2)*(0 + 3 + 0)*(-z + 5*z - z) + (2 - 1 + 0)*(z - 1 + 1))*(-z**2 - z**3 + z**2) in the form g*z + p*z**2 + h + w*z**4 + x*z**3 and give w.
17
Express (54 + 2*j**2 - 4635*j + 2321*j + 2317*j)*(3 + 2*j**2 - 3) as o*j**3 + d*j + v*j**2 + b + f*j**4 and give o.
6
Rearrange -2 + 53*t - 23*t + 12 - 6 to b*t + k and give k.
4
Rearrange -z**3 - 2 + 2 - 9*z**3 + 16*z**3 - 5*z**3 + (5*z - 5*z + 2*z**3)*(2 + 1 - 1) - 2 + 2 - z**3 + 2 - z**3 - 2 to u*z**2 + v*z + w + l*z**3 and give v.
0
Rearrange (0 + 0 + 4868*l**2 - 5512*l**2)*(4*l - 5*l - l) to j + m*l**2 + p*l + z*l**3 and give z.
1288
Express (3 + 2*m - 3)*(-m - m + 3*m) + 2*m + m**2 - 2*m + (62 - 62 + 7*m)*(-1 + 1 - m) + 2*m**2 + 5 - 5 in the form x + n*m**2 + d*m and give n.
-2
Rearrange (2 - 1 + 2)*(-4*l + 3*l + 2*l) - 5*l - 4*l + 4*l - 6*l + 226 - 226 to the form d*l + k and give d.
-8
Express h**2 + 26*h + 3*h**4 + 4 - 5 - 35*h + 0*h**2 - 5*h**4 in the form p*h**3 + v + d*h**2 + k*h**4 + t*h and give p.
0
Express -2*a**4 + 4*a**4 - 1 + 7 - 6*a**2 + 2*a**3 - 3*a**4 in the form h*a + y*a**3 + q*a**4 + w + l*a**2 and give l.
-6
Express 116*s - 139*s + 1 + 219*s in the form a + z*s and give a.
1
Rearrange (h + 0*h + 0*h)*(-4*h + 0*h + 2*h)*(-2 + 1 + 4)*(8 + 4 + 2)*(-7*h - 21 + 21) to the form r*h + f + a*h**3 + o*h**2 and give a.
588
Express -56*v - 37*v + 10*v - 15*v + (0 - 2 - 1)*(0*v + 2*v - 7*v) as i + z*v and give z.
-83
Rearrange (-1 - 3 - 9)*(4*y - 5*y + 0*y - 20 + 22) to v*y + k and give k.
-26
Express 8*o**4 - o**3 - 16 - 56*o**2 - 6*o**4 + 55*o**2 as b*o + s*o**3 + y*o**2 + z + n*o**4 and give s.
-1
Rearrange 41*j**2 - j**3 + 0*j + 42*j**2 + j**4 - 85*j**2 + 2*j - 22 to the form m + g*j**4 + l*j**3 + r*j + b*j**2 and give b.
-2
Express -51 + 48*t**3 + 14*t**3 + 48 in the form m + z*t**3 + v*t + r*t**2 and give m.
-3
Rearrange -4*b + 4 + 0 + 3*b + (2 - 1 - 3)*(-3 + 3 + 2*b) + 21*b + 31*b - 15*b to the form x + d*b and give x.
4
Rearrange 5*q - 3*q - 5128*q**2 + 5081*q**2 to m + l*q**2 + b*q and give b.
2
Express (r - r - r)*(-50*r - 24*r**2 + 85*r - 15*r**2) as n + u*r**2 + z*r**3 + s*r and give s.
0
Rearrange (0 - p + 0)*(48 - 48 - 3*p**3) + (3*p**4 - p**4 + 0*p**4)*(1 - 3 + 1) to the form d + j*p + v*p**4 + c*p**2 + q*p**3 and give v.
1
Rearrange 2*n**2 - n + n + (-n + 4*n - 2*n)*(166 - 204 - 34*n + 75) to x*n**2 + z + d*n and give d.
37
Rearrange -4*c**3 + 2*c - 2*c + ((0*c - 5*c + 3*c)*(-c + 2*c + 0*c) + (-c + 2*c - 3*c)*(71 - 2*c - 71))*(c + 0*c - 2*c) to n*c**2 + d + x*c + o*c**3 and give n.
0
Rearrange 20*y - 56*y + 35*y + 56*y**3 to b + a*y**2 + c*y + h*y**3 and give
|
{
"pile_set_name": "DM Mathematics"
}
|
in 5, 0.14, c, 0.5?
0.14
Let y = 3391 + -3379. Which is the fifth biggest value? (a) 1/3 (b) 2/9 (c) y (d) 2/5 (e) -0.1
e
Let l = 12 + -61/5. Let y = 0.04 + 0.06. Suppose 4*n + 10 = 9*n. What is the biggest value in n, l, -2, y?
n
Let s = 237.9 - 223. Let h = -14.5 + s. What is the fourth smallest value in 1, -3, h, -7/2?
1
Let p = 19980.2 + -19973. What is the third smallest value in p, -6, 5?
p
Let g = -0.3 + 0.2. Let q = 3923.5 - 3924. Let h = 0.146 + 17.854. Which is the third biggest value? (a) h (b) g (c) q
c
Let h = 1422.94 + -1423. Let w = 0.13 - -0.11. Let r = w - h. What is the biggest value in -6/5, 3/2, r?
3/2
Suppose 2*j + 5 = 31. Suppose 3*t - 25 = -j. Suppose 3*q = t*q. What is the biggest value in q, -2, 4/9?
4/9
Let t = 2469 - 2444. Let l = 61 + -40. Let s = l - t. Which is the second smallest value? (a) 2/7 (b) s (c) -2/5
c
Let y = -8041 + 8042. Which is the fourth smallest value? (a) -1/3 (b) 90 (c) -4 (d) y (e) -0.1
d
Let t = 13971 + -13975. Let v(g) = 2*g + 8 + 2*g - 3*g. Let m be v(-6). Which is the second smallest value? (a) m (b) 1/3 (c) t (d) 1/6
d
Let x = 6.3 + -8.3. Let f = -76.7888 - 0.0112. Let q = f - -77. Which is the biggest value? (a) x (b) -1 (c) q (d) 4
d
Let s = 0.013 - -8.777. Let h = s - 6.79. Which is the biggest value? (a) -45 (b) -2 (c) h
c
Let m = 4 - 14. Let l be (-24)/30*(1 + -28 + 2). Let b be 62/l + 2 + 150/(-30). What is the third biggest value in b, m, -0.5?
m
Let k = 2 + -2. Let n be 36*13/78 - (6 - -10). Which is the third smallest value? (a) k (b) n (c) 0.01
c
Let a be (-2 - 32/(-15))*950/(-760). What is the second biggest value in 0.08, 2/9, a, 2/7?
2/9
Let t = -5.0167 - -0.0167. Which is the smallest value? (a) 0.3 (b) 0.1 (c) t (d) -4 (e) 153
c
Let t = -501 + 547.6. Let h = t - 47. Let k = 1 - 0.9. Which is the third smallest value? (a) k (b) h (c) 3/5
c
Let x = -0.52 - -0.52. Let d = -12 + 16. Let t be (-26)/(4*2/d). Which is the third smallest value? (a) t (b) x (c) 4
c
Let b(a) = 2*a**2 + 17*a - 57. Let f be (3*(-2)/12)/(3/66). Let p be b(f). What is the fourth smallest value in 2/3, p, 6/5, 0?
6/5
Let o = 9 - 13. Let x be -4*3*(-3)/o. Let y be (-4)/30 + 2904/180 + -14. Which is the fourth biggest value? (a) x (b) y (c) 4 (d) 1
a
Suppose 4*z + 40 = -4*z. Let j = 2.432 + -2.932. Let u = -317/5 - -64. What is the smallest value in j, u, z?
z
Let z = 655.3 + -655. Let h be (-1 - (-17)/16)*(-4 - -6). Which is the third biggest value? (a) -6 (b) -2/7 (c) h (d) z
b
Let s = 1903 - 1908. Which is the fourth biggest value? (a) s (b) 0.11 (c) 44 (d) -0.5
a
Let z = 159 + -179. Let s = -3389/4 - -867. Let v = z + s. What is the second smallest value in -5, 2, -1, v?
-1
Let m = 10.1 + -9. Let n be 2057/(-121) - ((1 - 2) + 5). Let z be 3/n - 165/(-175). Which is the second smallest value? (a) z (b) -3/4 (c) m (d) 1
a
Let n = 1.1 + -1.1. Let v = 3841 - 26883/7. Which is the fourth smallest value? (a) v (b) -2 (c) n (d) -5
a
Let k = -2.7681 - -0.0581. Let l = k - -58.71. What is the biggest value in l, -1/4, 0.2?
l
Let n be ((-51)/20)/(-3) + 6/(-10). Which is the biggest value? (a) -25 (b) -2 (c) -4 (d) -0.3 (e) n
e
Let m = 6036.5 + -6044. Let x = -32 - -28. Which is the second biggest value? (a) m (b) -0.2 (c) x
c
Let v be 8 - (-75)/(-15 + 0). Which is the fourth smallest value? (a) 0.4 (b) v (c) -25 (d) -2/5
b
Let l = -1.176 - -811.176. Let a = l + -805. What is the third biggest value in a, 1/4, -220/3?
-220/3
Suppose -47 = 40*m - 207. Which is the fourth biggest value? (a) m (b) -1/7 (c) -3/8 (d) -1.18
d
Let j = -175.71 + 175.71. Let q = -6 + 6.5. Let w = -4 + 3. Which is the third biggest value? (a) q (b) w (c) j
b
Suppose -12*f = 361 + 419. Let k = f - -85. Which is the second smallest value? (a) -5 (b) k (c) -1 (d) 4
c
Let u = -0.18 + -0.02. Let c(g) = -19*g**3 + g**2 + g - 1. Let t be c(-1). Suppose -3 = -t*w + 21*w. What is the fourth biggest value in w, -1/2, 0.4, u?
w
Let k = -46901/138 + 2039/6. What is the third smallest value in -1/12, 5, 4, k?
4
Let l = -0.1113 - -5.1113. Let q = 0.16 - 0.33. Let a = -11.83 + q. What is the third biggest value in a, l, -5?
a
Suppose 37*t = 42*t + 25, -4*t = -3*u - 16. Let j = 0.04 + -0.02. Which is the second biggest value? (a) -3/5 (b) j (c) u (d) 4
b
Let z = 373 - -72. Let w = -444
|
{
"pile_set_name": "DM Mathematics"
}
|
, 0, -3?
a
Let w = 0.0653 + 0.9347. Which is the fourth biggest value? (a) w (b) -0.07 (c) 0.2 (d) -11
d
Let g be 8/10*-4 + 2. Suppose 13*m = 17*m - 8. Let q be 0 + (m - -1) + 0. Which is the biggest value? (a) g (b) q (c) -0.3
b
Let p = -4/13 - -11/78. Let o = -258 - -1286/5. What is the biggest value in p, o, 0.1?
0.1
Let d be ((-3)/(-15))/(1/(-2)). Let m = 7.3 + -6.6. What is the smallest value in -1, m, d?
-1
Let n = 0.0042 + -3.0042. What is the third biggest value in 0.5, -0.5, -0.08, n?
-0.5
Let i = 4.28 + 4.72. Which is the biggest value? (a) i (b) -5 (c) -15
a
Let s = 97 - 98.02. Let d = 0.32 + s. Let b be (-1)/(15/(-3))*4. What is the second biggest value in d, b, 1?
b
Let n = -41.3 - -39. Let s = n - -1.8. Let y = -5/34 + -1/51. Which is the smallest value? (a) y (b) s (c) -4
c
Let p = -157 - -57. Let o = -205/2 - p. What is the second biggest value in o, 0.2, -3?
o
Let o = 16 - 18.6. Let l = o + 0.6. Let s be (-1)/6 + 1643/318. Which is the third smallest value? (a) s (b) l (c) 0.5
a
Let n = -42.39 + 42. Let q = n - -27.39. Let s = -29 + q. Which is the smallest value? (a) 2/9 (b) s (c) -0.2
b
Let n = 155 + -154.6. What is the second smallest value in -4/9, -3, 10, n?
-4/9
Let w be (-7)/(-42) + 58/(-60). Let u = -17.09 + 17. Let q = -0.91 + u. What is the second biggest value in q, w, 1/5?
w
Suppose -5*n + 5*q = 0, -3*n + 5*n + q = 12. Which is the biggest value? (a) 0.1 (b) -8 (c) n
c
Let r = -731/12 + 243/4. What is the smallest value in r, 1, -2, 3/2?
-2
Let m = -1707 + 1703. Which is the fourth smallest value? (a) 3 (b) -3 (c) -0.3 (d) m
a
Suppose -34 = -5*n - 69. Let i(s) = -s**2 - 2*s + 31. Let o be i(n). Which is the fourth biggest value? (a) 3 (b) -3 (c) -2/3 (d) o
d
Let h = 54 + -49. Let q = 3.89 + 0.11. Which is the second biggest value? (a) -0.4 (b) q (c) h
b
Let r be (-13)/(78/4)*6/(-20). Suppose -4*x + n = 4*n + 3, 5*x + 30 = 5*n. Let g be (-1)/x*(5 - 3). Which is the second biggest value? (a) r (b) g (c) -0.3
a
Let i(h) = -h - 8. Let p be i(0). Let n = -3362 - -3361.6. What is the third biggest value in n, -2/9, p?
p
Let g = -11 + 19. Let w = -6 + g. Suppose p = w*p - 11. What is the second smallest value in -4, 0, p?
0
Let t(m) = -6*m**2 + 24*m - 3. Let h be t(4). Let u be 1*2 - (-15)/(-10). Which is the third smallest value? (a) 4 (b) h (c) u
a
Let k(j) = 56*j**2 - 5*j - 4. Let a be k(3). What is the biggest value in -1/6, a, 2?
a
Let p = -14 + 14. Suppose p = 2*z + 6 - 12. Let h = 0.4 + -0.5. What is the third biggest value in h, 5, z?
h
Let m(l) = l**3 + 9*l**2 - 6*l - 17. Let k be m(-9). Let x = k - 112/3. Let d = 3.2 + -3. What is the third biggest value in x, -6/5, d?
-6/5
Suppose 0 = -10*o + 13*o. Let g = 3.4 + -3. What is the third biggest value in g, -0.3, o, 5?
o
Let z = 2.5 - 2.33. Let c = -0.33 - z. Let p be (-6)/4 - -1 - 1. What is the third smallest value in -4, c, p?
c
Let u = -1.24 + 0.84. What is the second biggest value in u, -6, 0.5, -0.1?
-0.1
Let t = 0.27 - -0.94. Let v = -0.21 + t. Which is the second smallest value? (a) -0.3 (b) v (c) -2
a
Let a be (-23)/4 + 2/(-8). Let t(n) = n + 11. Let q be t(a). Let r = -24 + 21. What is the smallest value in -1/5, r, q?
r
Let n be (-8)/(-42) - 2/7. Let u = -50.07 - -0.07. Let g = u - -52. Which is the third smallest value? (a) g (b) -2 (c) n
a
Let f be 357/49 + 4/(-14). Suppose f = 5*h - 3. Suppose h*x + x = 0. Which is the smallest value? (a) -2/5 (b) x (c) 3
a
Let t = -594 - -594. What is the third smallest value in 5, t, -0.1, -1/5?
t
Suppose 2*m - 3*m = 610. Let p = m - -14028/23. What is the second biggest value in p, 1, -1/4, 0?
0
Suppose -4*n - 26 = -3*a, -a - 12 - 11 = 5*n. Let d = -364.4 + 364. Let g = -0.7 - 0.3. What is the second smallest value in d, g, n?
g
Let s be -1*(-2*1)/(-14). Let h(q) = -6*q + 7*q + 19 + 0*q. Let z be h(-20). Which is the third smallest value? (a) 0.1 (b) z (c) s
a
Let h(l) be the first derivative of l**2/2 - 19*l - 9. Let r be h(15). What is the second biggest value in -0.2, -0.1, r?
-0.2
Let z be (64/(-8) - -10)/(2/(-8)). Let t = -103/6 + 17. What is the second biggest value in t, 4, z?
t
Suppose -3*m + 11 = -4*o, 0 = -4*m - o - 13 - 4. Let x = m - 33. Let j be -2 + (-1 - 111/x). Which is the third biggest value? (a) -1/6 (b) j (c) 2/3
a
Let t = -2.6 - -0.6. Let l = 967 + -962. What is the biggest value in t, l, -2/5?
l
Let m = -1108
|
{
"pile_set_name": "DM Mathematics"
}
|
+ x*h + y*h**3 and give o.
-10
Rearrange (0*s**2 - s**2 - s**2)*(0*s + 4*s - 5*s) + (-1 - 2 - 2)*(-4*s**2 + 4*s**2 - 4*s**3) to the form u*s + i*s**2 + r + t*s**3 and give t.
22
Express -13*s**2 + 19*s**2 + 37*s**2 in the form c + u*s + j*s**2 and give c.
0
Express -14 + 17 + 3*w + 4*w**2 - 3*w**2 in the form z*w**2 + d + u*w and give d.
3
Rearrange 3 - 558*r**3 + 3*r + 559*r**3 + r + 2*r**4 to f*r**3 + v*r**4 + u*r**2 + z + x*r and give v.
2
Rearrange -2*b + 3*b - 6*b - 3*b to t*b + h and give t.
-8
Rearrange (-12*o**2 + 69*o - 69*o)*(-1 - 1 - 2*o**2 - o**2) to q + t*o**2 + d*o**4 + k*o + s*o**3 and give d.
36
Rearrange j**2 - 12*j**2 + 0 - 5 - 2*j + 9*j**2 to d*j**2 + i + k*j and give k.
-2
Express f + 2 + f + 1 - 13 as a*f + h and give a.
2
Express (3 - 3 - 4*s**2)*(-s + 2 - 2) - 3*s - 1 + 3 - s**3 - s in the form z*s**3 + t + a*s**2 + g*s and give a.
0
Rearrange (-137*t + 17*t**2 + 137*t)*(2*t - 5*t + 5*t) to d*t + g*t**3 + l + r*t**2 and give g.
34
Rearrange (1 - 4 + 2)*(-7*z + 25*z - 10*z)*(0 + 2 - 1)*(-4*z + z + 4*z - 2) to s + j*z + o*z**2 and give o.
-8
Rearrange (1 - 5 - 1)*(-3*g**2 + g - g) + (-3*g + 5*g + 0*g)*(g - g + 2*g) + 0*g + 0*g + 2*g**2 to the form y*g + v + r*g**2 and give r.
21
Express (-2*m + 1 - 1)*(-3*m**3 + 37 + 95 - 193) as b*m**3 + n*m**2 + y*m**4 + j + u*m and give u.
122
Express (-2 + 2*c**2 + 2)*(-3 + 1 + 4)*(0 - c + 0 + (c - 2*c - 9*c)*(-5 + 2 + 2)) in the form v*c**3 + w + n*c + j*c**2 and give v.
36
Express (-2*f + 0*f + 5*f + 2*f + 0*f + 0*f + (0*f - f - f)*(1 + 1 - 4))*(-2*f - 8*f - 8*f) in the form m + t*f**2 + j*f and give t.
-162
Express -2*j**2 - 45*j + 14*j + 14*j + 12*j in the form o*j**2 + i + m*j and give m.
-5
Rearrange ((1 - 2 + 3)*(-3 - 5 + 6) + 50 - 10 + 7)*(y + 3*y - 6*y) to p + t*y and give t.
-86
Rearrange 16 - 2*p + 0 + 0*p - 5 to the form q + u*p and give u.
-2
Express 3 + 4*o**4 - o**4 - 6*o**4 + 2*o**2 - o**2 as m + y*o**2 + t*o**3 + r*o + w*o**4 and give y.
1
Express (1 - 1 - 2*m)*(8*m**2 + 12*m**2 - 3 - 13*m**2) in the form x*m**2 + v + n*m + t*m**3 and give t.
-14
Rearrange -14*y**3 + 30 + y - 2*y**2 - 30 + y**4 to the form z*y**2 + n + s*y**3 + q*y + c*y**4 and give c.
1
Express (22*h - 16*h - 14*h + 114*h)*(3*h - 3*h + h) as q*h**2 + o + l*h and give q.
106
Rearrange -5 + 2*v - 92*v**3 + 93*v**3 - v**2 - v to the form j + z*v**3 + h*v**2 + u*v and give z.
1
Rearrange (-2*z + 3*z + z)*(34*z + 9*z + 66*z) to h*z**2 + c + o*z and give h.
218
Rearrange (1 - 5 + 1)*(-13*z**2 - z**2 + 4*z**2) to the form l*z**2 + t + m*z and give l.
30
Express -6*h**4 + 40*h - 42*h - 1 - 4*h**4 as g*h + i*h**4 + u*h**3 + q*h**2 + c and give c.
-1
Express 2*m**4 - 17 + 17 + (3*m**2 - m**2 + 0*m**2)*(-2*m**2 + 4*m**2 - 5*m**2) in the form v*m**4 + u*m + c*m**3 + r*m**2 + s and give v.
-4
Rearrange 8 - n**2 - 5*n**3 - n - 8 to the form v*n**2 + c*n + j + i*n**3 and give v.
-1
Express -9*m - 3*m + m in the form t*m + s and give s.
0
Express -69 + 69 + 12*c**2 + (0 + 0 - c)*(c - 3*c + 3*c) in the form v*c + g*c**2 + l and give l.
0
Express -42 - 5*j + 0*j + j + 2*j in the form z + m*j and give m.
-2
Express 36*i - 3 + 3 + 21*i as d*i + u and give d.
57
Rearrange (l + l - l)*(-2*l + 5*l**3 + 4*l**3 - 10*l**3) to p*l**4 + v + w*l**3 + c*l + i*l**2 and give i.
-2
Rearrange (-3 - 1 - i**2 + 0)*((-2*i + 5*i + i)*(2 + 0 + 0) - 1 + 1 + i + 0 + 0 + 2*i) to the form w*i**3 + q*i + s + u*i**2 and give u.
0
Rearrange -28*n**3 - 3*n + 60*n**3 - 30*n**3 + 2*n**2 to a*n + p*n**3 + g*n**2 + h and give g.
2
Rearrange (-3 + 3 + l)*(30 - 30 + 2*l) + (4 - 2*l - 4)*(4*l + 0*l + 0*l) - 2 + l**2 + 0*l**2 + 4 to the form y*l + d + j*l**2 and give d.
2
Express (2 + 0 + 0)*(2*q - 2*q + q + 7*q - 3*q - 9*q + (-3 - 1 + 2)*(4 - q - 4)) as h + p*q and give p.
-4
Express 0*r - 5*r + 7*r + 8*r in the form y + o*r and give o.
10
Express 5*k**2 + 4*k**3 + 0*k**2 - 2*k**3 as o*k + y*k**2 + j + q*k**3 and give q.
2
Express -2 + 6*a**3 + 1 + a**3 - 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
d -0.33962.
257.77158
214.36 times 12.35
2647.346
201 * -1.9106
-384.0306
What is -3531 times -69?
243639
30683526*-4
-122734104
Calculate -0.352*0.69069.
-0.24312288
Calculate -4.25262*-95.
403.9989
-12.6 * -22699
286007.4
330607 * -1308
-432433956
Product of 0.22 and 1.644267.
0.36173874
Multiply 23.62 and 319717.
7551715.54
Product of -12764939 and 1.
-12764939
What is the product of -351.58 and -78?
27423.24
What is -175876.5 times 0.4?
-70350.6
What is -10213.827 times 2?
-20427.654
-50821.7 * 2.473
-125682.0641
1830589 * -0.7
-1281412.3
What is -0.024 times 1.174068?
-0.028177632
-0.2 * 0.4767307
-0.09534614
525.43*0.2
105.086
3 * -0.121031563
-0.363094689
Work out 294050250 * -1.
-294050250
1.2844702 * -5
-6.422351
Multiply -3 and 767004.
-2301012
Work out 2.4 * -80.15997.
-192.383928
Calculate -483.6*-1.8887.
913.37532
-0.01 times 3238000
-32380
Work out -40.15 * 2373.
-95275.95
-257748*-1.8
463946.4
Work out 27599 * 0.14.
3863.86
0*451.0056
0
-0.32 * 421196
-134782.72
-0.8 times 5332493
-4265994.4
What is the product of -0.3 and 207045103?
-62113530.9
Product of -4 and 1715994.
-6863976
Work out -51261 * -513.
26296893
108 times -0.23624
-25.51392
Calculate -18914197*0.3.
-5674259.1
Work out -955 * -6263.
5981165
717279*-0.5
-358639.5
1.3*0.8073126
1.04950638
Multiply -1 and -3637143.
3637143
0.16*274.256
43.88096
1.5 times 4177
6265.5
Product of 63548 and 0.825.
52427.1
31 times 1757919
54495489
0.02 * 21876799
437535.98
What is 10712 times 18.1?
193887.2
Calculate -313*-69537.
21765081
What is 5 times -527598.7?
-2637993.5
Multiply -249717 and -2843.
709945431
Work out 7 * -240.5118.
-1683.5826
0.05*15007461
750373.05
1 * 148149543
148149543
What is 182 times -37918?
-6901076
-2300 times -290386
667887800
Multiply 0.2 and -1851081.
-370216.2
Product of 1916 and 57.3213.
109827.6108
Work out 0.4 * 172430075.
68972030
Calculate 0.83673*0.34.
0.2844882
Work out -8943144 * -0.07.
626020.08
Multiply 3 and -0.043768.
-0.131304
-7342 times 2582
-18957044
Work out 129141927 * -0.2.
-25828385.4
Multiply 343798 and -477.
-163991646
What is 266331.4 times 0.3?
79899.42
Product of 0.4395 and -3302.
-1451.229
Multiply -0.043516994 and -1.
0.043516994
What is the product of 59694.2 and 0.157?
9371.9894
What is the product of -1394206 and 0.05?
-69710.3
Multiply 142.1388 and 4.
568.5552
Calculate -1.5*2323.114.
-3484.671
What is the product of 14.74376 and -0.7?
-10.320632
Calculate -17.4*-46485.
808839
2.4*-1098805
-2637132
Calculate 810822*-0.17.
-137839.74
Work out 3939027 * -11.
-43329297
What is the product of 8219 and -1019?
-8375161
Calculate 8775*-57.109.
-501131.475
23*-83.6718
-1924.4514
Work out 0.332 * -22652.
-7520.464
0.2 times 6960319
1392063.8
108.77*-32075
-3488797.75
What is 0.6 times 147.1495?
88.2897
Product of 5573 and 20223.
112702779
-32395711.4 * 0.5
-16197855.7
824.36 times 4
3297.44
Multiply -0.02338 and 6225.
-145.5405
-935588 times 22
-20582936
What is -7130877 times 117?
-834312609
Product of 236 and 201900.
47648400
What is -878 times 5.248?
-4607.744
What is the product of -1.29 and 694697?
-896159.13
0 times -361613505
0
0.4*71788.418
28715.3672
Multiply -1 and -2.1132763.
2.1132763
Work out -1155830 * 74.
-85531420
Product of 65400 and -1310.
-85674000
-251.4204 * -0.09
22.627836
Multiply -2757 and 33873.
-93387861
Calculate 1.9856*-79.
-156.8624
Calculate 0.4*200038.
80015.2
42175*1318
55586650
Multiply -3 and 10871861.
-32615583
96437*37
3568169
Work out -206564.1 * -5.24.
1082395.884
Product of -235 and 10.7266.
-2520.751
Multiply -0.4 and -289919443.
115967777.2
Multiply -12.4029 and -1.19.
14.759451
What is the product of 14 and -158474?
-2218636
What is -10 times -1.5042884?
15.042884
Work out 20835191 * 0.
0
0.2 * 7310.754
1462.1508
What is -4 times -7268.7914?
29075.1656
0.2 * 48.77994
9.755988
0.00077*-19370.4
-14.915208
49592 * -0.085
-4215.32
Multiply -26 and -0.82125.
21.3525
Calculate 6984261*-1.
-6984261
What is 0.032 times -2.96201?
-0.09478432
Work out 139 * -9938.
-1381382
What is 614 times 0.660858?
405.766812
Work out -1.95278 * -73.
142.55294
What is the product of -26 and 485.692?
-12627.992
0.092129413 times 1
0.092129413
Product of -7210 and -3075.
22170750
Calculate -15524188*-4.
62096752
-1*626.3855
-626.3855
Product of -2546017 and -0.4.
1018406.8
Work
|
{
"pile_set_name": "DM Mathematics"
}
|
n 0.5, q, 4/3, d?
q
Let k = -0.7 - -1.7. Let w = 0.16 - 0.3. Let z = -5.86 + w. Which is the second biggest value? (a) -0.4 (b) k (c) z
a
Let k = -6 - -6.5. Suppose 0 = 12*z + 2 - 2. Which is the second smallest value? (a) z (b) 4/7 (c) k
c
Let r = 1669.6 + -1673. Let x = -16 + 19.4. Let g = x + r. Which is the smallest value? (a) g (b) -2/3 (c) -0.05
b
Let f = -2.43 - -2.93. What is the third biggest value in f, 25, 5, 12?
5
Let m = 0.1602 + -0.1602. Which is the third biggest value? (a) -0.55 (b) 4 (c) m
a
Let v = 1.3 - 0.6. Let c = v - -0.3. Let y = 21/2305 - -6768/16135. What is the second smallest value in y, 0.5, c?
0.5
Let v = 74 + -41. Let j = v + -30. What is the smallest value in -2/13, 4, -11, j?
-11
Let r = 26 + -32. Let y = 3.7 - 0.7. Which is the second biggest value? (a) r (b) y (c) -5
c
Let h(s) = s**3 + 2*s**2 - 7*s - 12. Let q be h(-2). Which is the second smallest value? (a) 0.4 (b) 4 (c) 7 (d) q
d
Let p be 2/(-10)*(-10)/8. Let i = 37915/14 - 5417/2. Which is the fourth biggest value? (a) 11/2 (b) -0.4 (c) p (d) i
b
Let t = -2 + 1.5. Let v = -938.004 + 936. Let l = -0.004 - v. What is the smallest value in 4, t, l?
t
Let z be (72/(-16) + 3)/(6/16). Which is the smallest value? (a) 6/7 (b) 3/2 (c) z
c
Let s(u) be the first derivative of -u**4/4 - 11*u**3/3 + u**2/2 + 9*u + 2. Let m be s(-11). Which is the third smallest value? (a) 4 (b) -0.1 (c) 5 (d) m
a
Let j = 2058 + -2058.8. Which is the second smallest value? (a) 2/11 (b) 2 (c) j (d) 4/9
a
Let v = -74.25 + 74. Let y = v - 2.75. Which is the smallest value? (a) y (b) -0.2 (c) -1
a
Let x = -71 + 71.4. Which is the third biggest value? (a) x (b) 0.1 (c) 0
c
Let t be ((-33)/44)/(3/24*21). What is the third smallest value in -59, t, -2, -0.5?
-0.5
Let u = 15.2 - -0.8. Let f = -1.39 - -16.39. Let o = u - f. What is the biggest value in 2, 5, o?
5
Let x be 5/4*-4 + 5. Let g = -5 + 2. What is the second biggest value in 10, g, x?
x
Let s = 0.2 - 0. Let y = 0 + s. Let o = -0.168 - 4.832. Which is the second smallest value? (a) o (b) y (c) -2/7
c
Let f = -4.12 - 0.88. Which is the fourth biggest value? (a) 1 (b) f (c) 0.15 (d) -1
b
Let h = 199 + -198. Which is the third biggest value? (a) 2 (b) -6 (c) -5 (d) h
c
Suppose 0 = -3*o - o + 2184. Suppose -o = -x + 4*x. Let d = x + 914/5. What is the third biggest value in 3, d, 2?
d
Let h = -6/179 - -794/2327. Let s = 10566 - 10569. What is the third biggest value in 2, s, h, -4?
s
Let v = -55 - -22. Let r = -51 - v. Let d = r + 17.93. Which is the third biggest value? (a) -0.3 (b) d (c) 0.4
a
Let p = 14.4 - 12. Let h = p - -2.6. Which is the second biggest value? (a) -1/3 (b) h (c) 2/7
c
Let f(x) = -11*x + 9. Let d be f(-3). Suppose 6*h - d = -6. Let u be h/(-18) + 11/(-3). What is the third smallest value in u, -4/3, -0.5?
-0.5
Let o be 6/(-4)*12/(-18). Suppose -w + 3*q = -2, -3*w + 5*q - q = -o. Which is the smallest value? (a) 3/5 (b) w (c) 0.1
b
Let t = 41 + 27. Suppose -3*q + 34 = m, -6 = q - m - 3*m. Let p be 4/q - t/20. Which is the smallest value? (a) -0.4 (b) 0 (c) p
c
Let l = -1/192206 + -35969971/1729854. Let r = -144/7 - l. Let i = 2 + -1.6. What is the second smallest value in 4, i, r?
i
Let u = 70.5 - 71. Let b = 5 - 5.9. Let t = u - b. What is the biggest value in 3, -1, t?
3
Let o = 721 - 731. What is the third smallest value in 2/11, -2/11, -0.3, o?
-2/11
Let u = -767 - -767.5. What is the second biggest value in 2/29, -1.5, u?
2/29
Let p = -9 + 12. Suppose -5*f - 25 = 0, p*f + 27 = -0*w + 2*w. Suppose -w = d - 9. Which is the third biggest value? (a) 2/3 (b) 5/3 (c) d
a
Let z = 821 - 820.94. Which is the second biggest value? (a) z (b) 4 (c) -0.3
a
Let w = -10.3 - -13.3. What is the second biggest value in 4/3, 1/2, -2/5, w?
4/3
Let r(j) = 26*j + 915. Let n be r(-35). Suppose 0 = 3*d + 22 - 4. Which is the second biggest value? (a) 2 (b) d (c) n
a
Let c be (-12)/(-20) + -5 - -5. What is the fourth smallest value in -3, -10, -0.2, c?
c
Let o = -15.8 + 13.77. Let r = 0.03 + o. Which is the smallest value? (a) -5/4 (b) 0.2 (c) r
c
Let d = 4.12 + -0.11. Let h = -9 + 13. Let w = d - h. Which is the smallest value? (a) -1/3 (b) w (c) 1/3
a
Let t be ((-4)/3)/((-1760)/(-240)). Which is the third smallest value? (a) -20 (b) t (c) -5
b
Let i be ((-10)/(-20))/(4/(-6)). What is the fourth biggest value in
|
{
"pile_set_name": "DM Mathematics"
}
|
late the greatest common factor of 3 and y.
3
Suppose -4*m - 4*r + 12 = 0, 2*r + 4 = 2*m - 2. Suppose 4*o + 89 = 3*n, -n + 13 = -m*o - 15. Calculate the greatest common factor of n and 62.
31
Let o = 2 - -1. Let q(f) = -f**2 - f - 7. Let w be q(-5). Let y be 6/w + (-29)/(-9). What is the highest common divisor of y and o?
3
Let u(p) = -p + 20. Let n be u(0). Suppose -5*k - 3 = 4*g, -2*g - 15 = -5*k - 6. Let c be 15*-20*g/12. What is the highest common divisor of c and n?
10
Suppose 6 = 3*l - 6. Suppose l*g = 4*c + 52, 0 = 3*g - g - 4*c - 36. Let t be (34/g)/((-2)/(-40)). What is the greatest common divisor of 17 and t?
17
Let a be ((-2)/(-2))/((-1)/(-7)). Let z = 11 - 21. Let b = z - -11. Calculate the greatest common factor of b and a.
1
Let s = -1 + 12. Let z be (1/(-2) - -1)*0. Suppose -7*f + 2*f + 5 = z. Calculate the greatest common divisor of f and s.
1
Suppose -3*n + 2 = -4*n. Let t be -3*(n + (-12)/(-9)). Calculate the highest common divisor of t and 16.
2
Let l = -4 - -24. What is the highest common factor of l and 10?
10
Suppose 2*h - 26 = 3*n, 5*h - 4*n - 23 = 4*h. Let c = -8 + 15. Calculate the greatest common factor of c and h.
7
Suppose -29 = -3*n + d, -9 = -2*d - 7. Let p be 10 + (0 - 0) + 0. Calculate the greatest common divisor of n and p.
10
Let a(s) = 3*s - 5. Let v be a(12). Let o = 51 - v. Let h(p) = 5*p**2 - p + 2. Let g be h(-3). Calculate the highest common factor of o and g.
10
Let u = 56 - 30. What is the greatest common divisor of 78 and u?
26
Let a(o) = -o**2 - 6*o - 1. Let k be a(-5). Suppose g + z = 6*z - 7, 11 = g + z. Let y = 12 - g. What is the greatest common factor of k and y?
4
Suppose -v = 2*v - 15. Let h be 10/(-4)*(-1 - v). Suppose 3*y - 4*p - 3 = 35, 3*y = -p + 13. What is the greatest common factor of y and h?
3
Suppose -17*t + 8*t + 54 = 0. Let r = -40 - -82. Calculate the greatest common factor of t and r.
6
Suppose -3*a + 24 = z, 7*a - 8 = z + 2*a. Let n = 31 - z. Calculate the greatest common divisor of 95 and n.
19
Let j = 6 + -3. Suppose -k - 6 = -4*k - 3*u, 4 = -j*k - u. Let d be k/(-4) - 37/(-4). Calculate the highest common factor of 70 and d.
10
Let x = 629 + -524. Let z = -14 - -35. What is the highest common factor of z and x?
21
Suppose 0 = p - z - 39 - 41, 0 = 2*p - 4*z - 158. Let n = p - 3. What is the highest common divisor of n and 26?
26
Suppose -5*h - 5 = 10. Let w(o) = -6*o. Let l be w(h). What is the greatest common factor of l and 18?
18
Suppose -5*z + 93 + 57 = 0. Let i(c) = -c + 2. Let p be i(0). Suppose -p*w = -35 + 11. What is the highest common factor of w and z?
6
Let w(d) = d**3 + 5*d**2 + 4*d + 3. Let b be w(-4). Let s be (-12)/(-8)*(2 + 0 + 0). What is the greatest common divisor of b and s?
3
Let z be (8 + 2)*(105/6 + -2). What is the highest common factor of 31 and z?
31
Let g be 1/4 + 0 + 537/12. Calculate the greatest common divisor of 30 and g.
15
Suppose 2*k - 3 = 3*d - 1, -2*d + 4 = 0. Let c = k - 2. Suppose -c*f - i = -21, 3 = 2*f + 4*i - 9. Calculate the greatest common divisor of 12 and f.
12
Let m be (2/(-4))/(3/(-168)). Let d(p) = p**3 + 6*p**2 + p + 4. Let j be d(-6). Let i = 2 - j. Calculate the greatest common divisor of i and m.
4
Suppose -8 = 5*q - 18. Suppose 0 = -h - 0 + q. Suppose n - 3 = 3*v - 9, 3*v + n - 6 = 0. What is the highest common factor of h and v?
2
Let k(s) = -2*s - 8. Let l(q) = q**3 + 1. Let a be l(0). Let j be 22/(-4) + a/(-2). Let z be k(j). What is the highest common factor of 32 and z?
4
Let a be (-87)/(-12) + 1/(-4). Calculate the highest common divisor of 7 and a.
7
Let p be (-268)/6 - (-12)/18. Let k = 84 + p. What is the greatest common factor of 60 and k?
20
Suppose 6*m - m - 220 = 0. Suppose 0 = -r - 4*n + 6, 0 = 4*r - 0*n + 2*n + 4. Let i be 8 - (-2 + (-3 - r)). What is the greatest common divisor of m and i?
11
Let r(c) = 12*c**2 + c - 2. Let i be r(-3). Let a be ((-19)/38)/(1/98). Let z = a + i. What is the highest common divisor of z and 18?
18
Suppose 2*i - 32 - 18 = 2*u, 3*u = -4*i + 100. Calculate the greatest common factor of i and 10.
5
Let n = 16 + -16. Suppose -3*v - v + z + 18 = 0, 2*v - 5*z = n. Calculate the greatest common divisor of v and 2.
1
Let f = 122 + -77. What is the greatest common factor of f and 225?
45
Let y = 5 - 12. Let k be 5 - y/(28/8). What is the greatest common divisor of 28 and k?
7
Suppose 2*y = -5*o - 121, 2*y + 0*o = -o - 101. Let g be (3/(-2))/(y/2560). Calculate the greatest common divisor of 10 and g.
10
Suppose 3*n + 75 = 8*n. Calculate the greatest common factor of 15 and n.
15
Let g(y) = 3*y - 4. Let h be g(14). Suppose -h = 2*t - 182. Let o(f) = 3*f**2 + 5*f - 4. Let d be o(-4). What is the highest common divisor of t and d?
24
Suppose x = -4 - 15. Let f = 44 + x. Let y be 4*1 - (2 - 3). What is the greatest common factor of f and y?
5
Let d = -23 + 24. Calculate the highest common divisor of 1 and d.
1
Let y be (1 + 1 - -12)*2. Let v be 10/(-55) - (-4)/22. Let r = 7 - v. Calculate the highest common divisor of y and r.
7
Let n = 56 - 2. Calculate the greatest common factor of n and 36.
18
Suppose 3*z = -0*c - 4*c - 56, 0 = z - 5*c + 25. Let o = -19 - z. Calculate the highest common divisor of 8 and o.
1
Suppose -2*s + 0*s - v - 1 = 0, 5*v + 17 = -4*s. Suppose 2 = -3*p + 4*f, -f +
|
{
"pile_set_name": "DM Mathematics"
}
|
(c) -12/1529 (d) -4/9
c
What is the seventh biggest value in -1/6, 2/5, -9, 0.2, -4/95, -0.9, -1.71?
-9
Which is the seventh biggest value? (a) -2 (b) 202 (c) 341 (d) -1/2 (e) 18 (f) 0.4 (g) -0.3
a
What is the smallest value in 2, 0.5, -2372, -15, 0.02?
-2372
Which is the second smallest value? (a) 40 (b) 25350 (c) -0.21
a
Which is the third biggest value? (a) -4.599044 (b) 0.2 (c) 2/27 (d) 2/5 (e) -2/13
c
What is the third biggest value in -0.02, 38, -26977?
-26977
Which is the second smallest value? (a) 15 (b) 2/9 (c) -4 (d) -0.6 (e) -17 (f) -143
e
What is the fourth smallest value in -2/5, 6377, 3/4, 0.4, -0.34?
3/4
What is the smallest value in -0.1, -97, -3712, 0.3, 3/5?
-3712
What is the fifth biggest value in -110, -6/7, -0.003, -2, 0.1, 0.4, 21?
-6/7
Which is the fifth biggest value? (a) 26 (b) -2/9 (c) -1 (d) 16 (e) -2 (f) -514
e
Which is the second biggest value? (a) -2/35 (b) -0.0177 (c) 0.004 (d) -1/7 (e) 1/6
c
Which is the third smallest value? (a) -3 (b) 2/9 (c) -4/5 (d) -7 (e) 464
c
What is the third biggest value in 13, 116, 2/15, 351/8, 2/11?
13
Which is the fourth biggest value? (a) -2/5 (b) -187803 (c) 1.3 (d) -2
b
Which is the third smallest value? (a) 872 (b) 11 (c) 10.987
a
What is the second smallest value in 0, 3, 5, 4, 2/6385, -3.8?
0
What is the sixth biggest value in 0.3, -0.5, 4.92, -1, -129, -2/15?
-129
What is the fifth biggest value in 3, -0.6, -115, 9, 2/5, -1, -6?
-1
What is the fourth biggest value in 5/3, 6/73, 3, 0.03997?
0.03997
Which is the fifth biggest value? (a) 33 (b) 2 (c) -4 (d) -2 (e) -9/10
c
What is the second biggest value in -3, 291, 1/3, 0.39, -2, 15?
15
Which is the third smallest value? (a) 7/11 (b) -9643 (c) 2
c
Which is the third smallest value? (a) 2/157 (b) -4/7 (c) 17921
c
Which is the biggest value? (a) 30746.6 (b) 1/2 (c) 0
a
Which is the second smallest value? (a) 1 (b) -108 (c) -304.758
b
What is the third biggest value in 26, 12, 1518856?
12
Which is the smallest value? (a) 1/10 (b) -2 (c) 5 (d) 1 (e) 0.03 (f) 0.04216
b
What is the second biggest value in 5/14, 8/3, 15, -2, 19/14?
8/3
What is the fourth smallest value in -216, -0.2, 0, 3, 98, -0.5?
0
What is the smallest value in -0.5, -35/3, -18777?
-18777
What is the second biggest value in -2/903, -0.2, -0.27, -1/2, -0.18?
-0.18
What is the second smallest value in 352, 0.09, 394?
352
What is the fourth biggest value in -11, -9, 328, -485?
-485
What is the third biggest value in 1, -1846910, -1?
-1846910
What is the third biggest value in -3, -10, -2/15, 13/10, -0.2, 950?
-2/15
Which is the third biggest value? (a) 2/5 (b) 0.5 (c) -5 (d) 429 (e) 3
b
Which is the fourth smallest value? (a) 2/16825 (b) -16 (c) 0.5 (d) 6 (e) -0.5
c
What is the fifth biggest value in -1/3, -0.33, 0.05, 0.1, -4/9, 31, -1/10?
-0.33
What is the third biggest value in -1/2, 5/3, -0.024, 4, 44869?
5/3
Which is the fourth smallest value? (a) -0.5 (b) -1/3 (c) 2/53 (d) 1116 (e) 3/4 (f) 5/4
e
Which is the fourth biggest value? (a) -42 (b) -1/4 (c) 20 (d) 52 (e) 3
b
What is the third smallest value in -0.3, -2, -26, 128473?
-0.3
What is the fourth biggest value in 5/2, -30, 234/7, -28?
-30
Which is the third biggest value? (a) -2/11 (b) 14 (c) 5 (d) -46 (e) 16/7 (f) 1/2 (g) -2
e
What is the third smallest value in 1.9, -187/5, -66, 5/3?
5/3
Which is the fourth biggest value? (a) 4 (b) -2 (c) -0.2 (d) -3 (e) 15 (f) 0.313 (g) -0.5
c
Which is the fifth biggest value? (a) -0.5 (b) -244 (c) 811 (d) 5 (e) 2 (f) -5
f
Which is the fourth biggest value? (a) 0.2 (b) -2/5 (c) 924740 (d) -1
d
What is the smallest value in -77389, -0.3, 0.02, 0.2?
-77389
What is the sixth smallest value in -8.7, 2, -2, 1.6, -1/2, 4?
4
Which is the fourth smallest value? (a) 0 (b) -1 (c) 13413/8 (d) 0.02
c
Which is the second biggest value? (a) -49.835 (b) -0.00005 (c) -2/9
c
Which is the biggest value? (a) 0.1 (b) 6/7 (c) -42 (d) 865
d
Which is the smallest value? (a) -9268 (b) -172 (c) 0.7
a
What is the third biggest value in 0, 1326, -1, 6, 4, 292/7?
6
Which is the third smallest value? (a) -0.5 (b) -73.69 (c) -49 (d) -3
d
What is the fourth biggest value in -3/7, -1/8, 4, -2.5, 79, 1?
-1/8
What is the third biggest value in 0.5, 1, 4
|
{
"pile_set_name": "DM Mathematics"
}
|
f 0*v + 19/2*v**3 + 7/30*v**6 + 0*v**5 + 0*v**4 + 90*v**2 + 0. Differentiate j(f) with respect to f.
84*f**2
What is the second derivative of 306*s**4 + 1872*s + s**3 + 2878*s + 5700*s + 2*s**2 - 2287*s**4 wrt s?
-23772*s**2 + 6*s + 4
Let h(j) = 50*j**4 - 5*j**3 + 3. Let x(l) = 1 + 6*l**4 - 28*l**3 - 7*l**4 + 27*l**3. Let g(n) = h(n) - 5*x(n). What is the derivative of g(q) wrt q?
220*q**3
Let v be (-220)/15*(19/(-4) - -4). Differentiate v*o + 5*o - 16*o - 101 - 141 + 247*o**2 wrt o.
494*o
Let u be (-200)/900 - 4/(-18)*73. Suppose x + q - 65 = -14, -x = 4*q - 54. Find the second derivative of 50 - u*y + 5*y**3 - x wrt y.
30*y
Let b(z) = 7*z + 1. Let g(p) = 487*p + 1219. Let d(f) = -13*b(f) - g(f). What is the derivative of d(m) wrt m?
-578
What is the derivative of 629139 + 2174*f**3 - 633727 + 938*f**3 wrt f?
9336*f**2
Suppose -57*r + 2444 = -2230. What is the third derivative of -r*i**2 - 1 + 7 + 54*i**6 + 3 - 9 - i wrt i?
6480*i**3
Find the third derivative of 1 - 3*t**2 + 1 - 3*t**2 - 95785*t**6 + 95314*t**6 wrt t.
-56520*t**3
Let v(r) be the third derivative of -1367*r**9/252 + 1421*r**5/30 + 662*r**2 + r - 2. Find the third derivative of v(c) wrt c.
-328080*c**3
Suppose -47*t + 52*t = -3*h + 169, t - 43 = 4*h. What is the second derivative of 10*p**4 + t*p + 42*p - 61*p**4 + 12*p wrt p?
-612*p**2
Let c(o) = o**3 - 5*o**2 + 7*o - 7. Let w be c(4). What is the second derivative of 5*t + 8*t**w + t**2 + 114 - 112 - 7*t**2 wrt t?
160*t**3 - 12
Let t(f) = 2*f**2 + 24 + 55 - 10 - f**2 + 20*f. Let k(g) = -22*g - 68. Let s(i) = -3*k(i) - 2*t(i). What is the derivative of s(p) wrt p?
-4*p + 26
Let w(v) = -76*v**3 - 11*v**2 + 3396*v + 2. Let j(a) = 380*a**3 + 57*a**2 - 17006*a - 11. Let z(d) = 4*j(d) + 22*w(d). Find the second derivative of z(q) wrt q.
-912*q - 28
Let l(w) = -565*w**3 - 19*w**2 + 5*w - 465. Let k(x) = 574*x**3 + 13*x**2 - 5*x + 464. Let m(s) = -4*k(s) - 3*l(s). Find the second derivative of m(d) wrt d.
-3606*d + 10
Suppose -5*p + 4*p = -3*x + 169, 0 = -5*x - p + 295. Find the third derivative of -3 + x*n**5 - 15*n**2 + 8*n**2 + 5*n**2 - 4 wrt n.
3480*n**2
Suppose 0*n = 7*n - 182. What is the second derivative of -35*m - 8*m**3 + n*m**3 + 2*m**3 + 18*m**3 wrt m?
228*m
Suppose 6*r - 169 = 29. What is the derivative of 116*i - 16 + r - 22 wrt i?
116
What is the third derivative of 2 + 3272*d**2 + 352*d**6 + 127*d**6 - 128994*d**4 + 128996*d**4 - 3*d**3 + 4*d**3 wrt d?
57480*d**3 + 48*d + 6
Let d(y) be the first derivative of -3327*y**4/4 + 2*y**3/3 + 123*y + 10580. What is the third derivative of d(c) wrt c?
-19962
Let o(s) be the third derivative of -37*s**2 + 0*s + 0*s**3 + 1/210*s**7 + 0 - 17/120*s**6 - 211/24*s**4 + 0*s**5. What is the second derivative of o(h) wrt h?
12*h**2 - 102*h
Let n = 1 - -4. Suppose 2*o + 26 = 10 + 34. Find the second derivative of -3*s + o*s**5 + 15*s**n - s - 8*s**5 wrt s.
320*s**3
Find the first derivative of 833*w**2 - 3*w + 1075 + 566*w**2 + 679*w**2 - 1022*w**2 wrt w.
2112*w - 3
Let r(a) = 24072*a**3 + 572*a**2 + 16*a + 119. Let g(t) = 8026*t**3 + 191*t**2 + 5*t + 37. Let k(n) = 16*g(n) - 5*r(n). Find the third derivative of k(j) wrt j.
48336
Let n(s) = -s**3 + 11*s**2 - 20*s + 20. Let j be n(9). Find the third derivative of 9*g**2 + 81*g**6 - 2 + 6*g**j - 97*g**6 wrt g.
-1920*g**3
Let x(s) be the second derivative of -689*s**6/10 - 325*s**3/3 + 3*s + 55. What is the second derivative of x(i) wrt i?
-24804*i**2
What is the third derivative of -1071*t**2 - 59*t**5 - 7*t**4 + 2*t**3 + 2688605*t - 2688610*t + t**4 wrt t?
-3540*t**2 - 144*t + 12
Suppose 0 = -7*g - 63 - 217. Let f = -32 - g. Differentiate -f*m**4 + 4 + 3 - 12*m**4 wrt m.
-80*m**3
Let k(s) = 180*s**4 - 3*s**3 - 18*s**2 + 4*s + 44. Let u(z) = -z**3 - 6*z**2 + 2*z. Let i(f) = k(f) - 3*u(f). Differentiate i(t) wrt t.
720*t**3 - 2
Let g(u) be the third derivative of -u**5/20 + 145*u**4/24 - 529*u**3/3 + 1185*u**2. What is the first derivative of g(j) wrt j?
-6*j + 145
Let a = 378 - 375. Differentiate -2*q**2 - 11*q**a - 37*q**3 - 169 + 12*q**3 with respect to q.
-108*q**2 - 4*q
Suppose 2*a + 9 = -3*h, 0 = 5*a + 11*h - 6*h + 10. What is the second derivative of -12*d**a - 16 + 20 - d + 0*d**3 wrt d?
-72*d
Suppose -36*z - 33 = 147. Let f(l) = -168*l + 152. Let y(h) = h + 2. Let u
|
{
"pile_set_name": "DM Mathematics"
}
|
2*d - 3*f = -24. Does 4 divide x(d)?
True
Let n(m) = 104*m + 2206. Is n(61) a multiple of 10?
True
Suppose -10 = -3*k + 8. Suppose -14 = -2*w - 2*m, 2*w + k*m - 16 = 2*m. Suppose -w*y - 39 = -7*y. Is y a multiple of 12?
False
Is 4/(-22) - (1829850/121)/(-15) a multiple of 16?
True
Let p be 36/(-10)*-3 + 4/20. Suppose 3029 - 730 = p*w. Does 11 divide w?
True
Let n = -93 + 93. Does 102 divide (-2095 - n - -1)*126/(-252)?
False
Does 43 divide 36/162 - 397044/(-81)?
True
Suppose -27*u - 12405 + 579 = 0. Let n = 449 + u. Is n a multiple of 3?
False
Let k be 484/(-110) + 4/10. Let p be 2386/(-10) + (-16)/40 - k. Let c = p - -501. Is 50 a factor of c?
False
Let h(x) = 151 - 9*x**2 - 22 + 12*x**2. Is 7 a factor of h(0)?
False
Let s(i) = 54*i + 4 - 55*i + 2 + i**3. Let u be s(-4). Does 7 divide (-4 + 3)*-1 - u?
False
Let k(p) = 3*p**2 - 45*p - 107. Does 11 divide k(63)?
True
Does 14 divide 70/(-50)*(10 - 2)*600/(-5)?
True
Let v = 2441 - 1589. Does 12 divide v?
True
Let g(d) be the third derivative of 13*d**4/24 - 7*d**3 + 2*d**2. Suppose 4*z + 8*y + 16 = 0, -7 = 2*z + 5*y + 6. Is 9 a factor of g(z)?
True
Let q = 678 + -1616. Let m = q - -1391. Is 12 a factor of m?
False
Suppose -t - 147 = -4*x + 275, 3*t + 6 = 0. Suppose -4*d - 29 = v - 3*d, 5*v = 5*d - x. Let c = -19 - v. Is 3 a factor of c?
True
Does 20 divide (5/(-2))/(15/30) + 12765/1?
True
Let u(m) = 272*m. Let a be u(1). Let t = 460 - a. Suppose 0 = -j + 1, -2*g + 96 + t = -4*j. Does 34 divide g?
False
Let h(j) = -11*j**3 + 18*j**2 - 35*j + 56. Does 38 divide h(-10)?
False
Let g = -76 + -67. Let n = g - -594. Is 49 a factor of n?
False
Let p be -2306*3/6 - -4. Let s = -704 - p. Does 48 divide s?
False
Let q be (-441)/98*4/(-6). Suppose -45 - 52 = -q*z + 5*b, -4*z - 4*b + 140 = 0. Is z a multiple of 34?
True
Let x = -1 + 121. Suppose 0 = 122*v - x*v - 6. Suppose v*y - 521 = -5*f, 0*y + 5*f + 571 = 3*y. Is y a multiple of 47?
False
Let h(v) = -9*v**2 - 6*v + 32. Let f(t) = 9*t**2 + 7*t - 32. Let p(x) = -6*f(x) - 7*h(x). Does 8 divide p(-4)?
True
Let b(o) = -15*o - 20. Let d be b(-2). Suppose 33 = -9*w + d*w. Is 9 a factor of w?
False
Suppose l - 3*p + 5*p - 386 = 0, -3*l + 1154 = 4*p. Let x = -248 + l. Is 14 a factor of x?
False
Suppose 3*v - 14 = 4. Suppose f = z - v*z + 352, 4*f - 8 = 0. Does 14 divide (1*(-24)/10)/((-3)/z)?
True
Let t = 2041 - 438. Let d = -936 + t. Is 23 a factor of d?
True
Suppose 6*j - 8*j + 5400 = 16*j. Is j a multiple of 25?
True
Let b = -13147 + 20389. Does 51 divide b?
True
Let k = -271 - -146. Let t = k - -132. Suppose -t*j + 184 + 124 = 0. Is j a multiple of 22?
True
Let k(i) = -16848*i - 254. Is 242 a factor of k(-3)?
False
Let p(y) = -950*y - 1225. Is p(-6) a multiple of 18?
False
Suppose 4*t - 27185 + 7258 = 3*g, 3*t = -5*g + 14938. Is t a multiple of 17?
True
Let c(i) = -i**3 + 10*i**2 + 11*i - 11. Let m = 145 + -150. Is 9 a factor of c(m)?
False
Let z(c) = 52*c**2 + 16*c - 44. Does 154 divide z(9)?
True
Suppose 2*t = -3*q + 28, -4*t = -2*q - 2*t + 2. Is 318/(-4)*(-8)/q a multiple of 106?
True
Let u = 134 + -140. Is 2 a factor of ((-40)/15)/(u/63)?
True
Suppose 0 = 3*k - 10*k + 203. Suppose -24*d - 15 = -k*d. Suppose -d*f + 66 = -54. Does 25 divide f?
False
Let t = 59 - 5. Let g = -6 + t. Suppose -j + 2*a + g = 0, -4*a + 122 = 3*j + a. Does 11 divide j?
True
Let h = 36277 - 1429. Is h a multiple of 72?
True
Suppose -15 + 6 = -3*m - 4*q, 5*q = -m + 3. Suppose m = -11*j + 58. Suppose -d - j*y + 31 = -35, 369 = 4*d - y. Is d a multiple of 52?
False
Let x be -18 - (-5 + (-9)/(-3)). Let j be x/(-4 - 72/(-20)). Let z = 72 - j. Does 8 divide z?
True
Let h(c) = -103*c - 7320. Is 20 a factor of h(-80)?
True
Suppose 48*b - 16523 + 5435 = 0. Is 7 a factor of b?
True
Suppose 4*x - 16*w - 43456 = -11*w, 0 = 6*x + 4*w - 65092. Is x a multiple of 15?
False
Let n(u) be the second derivative of 13*u**4/12 - 13*u**3/6 - 19*u**2/2 - 97*u - 1. Is 41 a factor of n(-5)?
False
Suppose 3*h - 3 = 3, -5*n - 2*h = -3744. Suppose -3*v = -5*o - 0*o - n, 736 = 3*v + o. Let b = v - 175. Is b a multiple of 25?
False
Does 11 divide (22/(-6))/(((-1)/(-18))/((-6696)/48))?
True
Suppose -2*a + 4*t + 93832 = 0, 3*a + 284*t - 286*t = 140756. Is 184 a factor of a?
True
Suppose 33 = 5*a - 3*l, -3*l + l = -a + 8. Let b(p) = -8*p - 176. Let m be b(-30). Suppose -h = -2*y - m, h + 4*y = a*h - 338. Does 15 divide h?
False
Is 70 a factor of (-22 - 430/(-20))/(2/(-788))?
False
Let d(w) = -89*w + 14 + 9 + 42*w**2 + 96*w. Is 19 a factor of d(-3)?
True
Let t = -1953 - -4215. Is t a multiple of 58?
True
Let m(n) = -2*n**2 - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
2400 = 0.
-5, 10, 24
Factor -s**2/8 - 1201*s/8 - 1797/4.
-(s + 3)*(s + 1198)/8
Factor 3*f**3/2 + 846657*f**2/2 + 29866778136*f - 149344474080.
3*(f - 5)*(f + 141112)**2/2
Factor 2*u**3/13 + 392*u**2/13 - 4920*u/13 + 1152.
2*(u - 6)**2*(u + 208)/13
What is z in -10*z**4/3 + 32782*z**3/3 - 26804086*z**2/3 - 34118578*z + 7181016 = 0?
-4, 1/5, 1641
Suppose 81*y**5 - 303714*y**4 + 284630629*y**3 + 126547500*y**2 + 14062500*y = 0. What is y?
-2/9, 0, 1875
Find m, given that -24*m**4/5 + 4*m**3/5 + 116*m**2/5 - 16*m/5 - 16 = 0.
-2, -5/6, 1, 2
Let -3*n**4 - 114*n**3 - 1011*n**2 - 900*n = 0. Calculate n.
-25, -12, -1, 0
What is j in -j**4/6 - 177*j**3/2 + 6481*j**2/6 - 6335*j/2 = 0?
-543, 0, 5, 7
Let 2*v**3/5 + 428*v**2/5 - 20622*v/5 + 225792/5 = 0. Calculate v.
-256, 21
Factor b**4/5 - 369*b**3 + 226935*b**2 - 46521675*b.
b*(b - 615)**3/5
Factor -4*r**2 + 246840*r - 3808124100.
-4*(r - 30855)**2
Let -5*x**2 + 7499240*x - 2811930028880 = 0. What is x?
749924
Determine h, given that 40*h**5 + 52580*h**4 - 52795*h**3/2 - 128255*h**2 - 111785*h/2 - 6575 = 0.
-1315, -1, -1/4, 2
Find g, given that 2*g**2/3 + 128*g/3 - 2400 = 0.
-100, 36
Find v such that 2*v**2 + 526*v + 32204 = 0.
-166, -97
Find v such that v**3 + 29*v**2 - 202*v + 280 = 0.
-35, 2, 4
Factor 5*t**2 + 3440*t + 588035.
5*(t + 317)*(t + 371)
Solve -d**5/7 - 2165*d**4/7 - 1190055*d**3/7 - 19744335*d**2/7 - 72495000*d/7 + 93431556/7 = 0.
-1074, -9, 1
Factor 2*o**2/11 - 4014396*o/11 + 2014421905602/11.
2*(o - 1003599)**2/11
Solve 45586297352*q**2/11 - 603896*q/11 + 2/11 = 0.
1/150974
Determine o, given that 4*o**2 + 50484*o + 50480 = 0.
-12620, -1
Find t, given that -t**2 - 259904*t - 16887522304 = 0.
-129952
Factor -i**2/3 + 50*i/3.
-i*(i - 50)/3
Find k, given that -88*k**2 - 3076*k/5 + 28/5 = 0.
-7, 1/110
Factor 3*l**2 - 43963*l - 29310.
(l - 14655)*(3*l + 2)
Find t, given that 9*t**5 + 168*t**4 + 951*t**3 + 1392*t**2 - 576*t = 0.
-8, -3, 0, 1/3
Factor 9*b**3/4 - 143*b**2/4 - 4*b.
b*(b - 16)*(9*b + 1)/4
Suppose -2*l**2/9 + 18036*l - 365959458 = 0. What is l?
40581
Find i such that i**5/4 + 23*i**4/4 - 485*i**3 - 5701*i**2 - 4220*i + 10400 = 0.
-52, -10, -2, 1, 40
Factor 3*w**3/2 - 261*w**2/2 + 1641*w - 1512.
3*(w - 72)*(w - 14)*(w - 1)/2
Suppose 2*c**5 + 850*c**4 + 2538*c**3 + 2534*c**2 + 844*c = 0. Calculate c.
-422, -1, 0
Factor 1568*o**2/15 - 336*o/5 + 54/5.
2*(28*o - 9)**2/15
Solve -y**4/5 + 37*y**3/5 - 427*y**2/5 + 1371*y/5 + 1836/5 = 0 for y.
-1, 9, 12, 17
Find x, given that -x**4 + 8990*x**3 + 135000*x**2 + 675250*x + 1125625 = 0.
-5, 9005
Find b such that b**2 - 74957*b - 374810 = 0.
-5, 74962
Factor a**4/5 + 1884*a**3/5 - 5658*a**2/5 + 1132*a - 1887/5.
(a - 1)**3*(a + 1887)/5
Factor 5*n**3 - 1780*n**2 - 13305*n + 217800.
5*(n - 363)*(n - 8)*(n + 15)
Find b, given that -4*b**2 + 328*b + 5376 = 0.
-14, 96
Factor 484*p**3/5 + 1716*p**2/5 - 864*p - 15552/5.
4*(p - 3)*(11*p + 36)**2/5
Factor -3*q**2 + 3759*q - 649566.
-3*(q - 1046)*(q - 207)
Factor c**2 + 502*c - 15399.
(c - 29)*(c + 531)
Factor -n**3 - 1063*n**2 - 18842*n - 33440.
-(n + 2)*(n + 16)*(n + 1045)
Factor -j**4 + 2057*j**3 + 8244*j**2.
-j**2*(j - 2061)*(j + 4)
Find q, given that -5*q**4 + 500*q**3 - 12945*q**2 + 20090*q + 96040 = 0.
-2, 4, 49
Find h, given that -2*h**2/11 + 34926*h = 0.
0, 192093
Solve -3*c**4/2 + 17784*c**3 - 71118*c**2 + 71112*c = 0.
0, 2, 11852
Factor 3*m**3 + 507*m**2 - 33003*m - 33507.
3*(m - 51)*(m + 1)*(m + 219)
Let -3*t**2/4 - 17502*t - 102106668 = 0. What is t?
-11668
Suppose -18*u**4 + 264723*u**3 - 485277*u**2 + 176457*u + 44115 = 0. Calculate u.
-1/6, 1, 14705
Factor -2*n**2/7 + 60126*n/7 - 120244/7.
-2*(n - 30061)*(n - 2)/7
Factor 2*r**2/7 - 604*r/7 + 9152/7.
2*(r - 286)*(r - 16)/7
Find o, given that -4*o**3 + 256*o**2 + 10196*o + 9936 = 0.
-27, -1, 92
Solve 18*q**3/7 - 17058*q**2/7 + 11366*q/7 - 1894/7 = 0 for q
|
{
"pile_set_name": "DM Mathematics"
}
|
pose -3*v + 3 = 0, 4*z = -v + 4*v + 1. Let j = 1 - z. Suppose j = g - 6*g. Solve g - 2 = b for b.
-2
Let l = 8 + -4. Suppose 7 = 2*t + 25. Let q be 27/t - (-23 + 0). Solve -v - l*v = -q for v.
4
Let a = 10 + -6. Suppose -4*d + 2 = -6*d - a*q, 0 = 4*d + 3*q - 1. Let p be (-28)/(-8) + d/(-2). Solve 7 = 2*l - p for l.
5
Let f = -24 + 40. Let n be (0/(1/(-1)))/2. Suppose 4*b - b + 2*q = 17, 4*b - 4*q - 56 = n. Solve -b = -5*g + f for g.
5
Let c(u) = 2*u - 23. Let l be c(13). Solve -4 = -g + l*g for g.
-2
Let v = 14 - 9. Suppose 3*n - 26 + v = 0. Solve 3*i - 1 = -n for i.
-2
Let l be 0/((-6)/(0 + 3)). Suppose x - 3 = -l*x. Solve x*a = -1 - 11 for a.
-4
Let t(c) = 2*c + 16. Let n be t(-7). Solve -p = n*p for p.
0
Let s = 18 + -14. Solve -6*n - 2 = -s*n for n.
-1
Let g be (-14)/56 - 2/(-8). Solve c - 7 + 4 = g for c.
3
Suppose -4*k - 1 - 1 = -5*h, 2*h + k - 6 = 0. Solve h*r + 20 = -2*r for r.
-5
Let n(j) = j - 1. Let y be n(4). Solve 7 = -y*p - 2 for p.
-3
Let l be (20/2)/(2 - 0). Suppose -8*i + 5*i + 27 = 0. Solve l*t = -i - 1 for t.
-2
Let t be -3*(8/(-6))/(-1). Let a(s) = s**3 + 5*s**2 + 4*s + 1. Let y be a(t). Solve 2 + y = -3*f for f.
-1
Let s(o) = 14*o**3 + o**2 - o. Let j be s(1). Suppose -x - j = -3*r, -7 = -r + x - 1. Solve r*b - 2*b + 4 = 0 for b.
-2
Let b = 0 - -3. Suppose 6*y - 18 = -2*k + b*y, 5*y - 20 = 0. Solve k*c = -21 + 6 for c.
-5
Suppose 0 = v + 5*x - 47, -v + 4*x + 5 = -15. Suppose 6*s = 10*s - v. Solve -z - s + 3 = 0 for z.
-5
Suppose 5*q - 4*g - 6 - 15 = 0, 0 = -5*g - 20. Suppose -8*j + 57 = -5*j. Suppose 11 = -2*h + j. Solve h*o - q = 7 for o.
2
Suppose 3 = 3*d + 5*m, 5*m + 4 = -2*d + 11. Let x(i) = 0 - 2*i - 2 - 1 - 2. Let t be x(d). Solve 0 = -t*o + 7*o for o.
0
Suppose -5*z = 5*f - 50, 2 = 2*z - f - 3. Solve m + z = 4 for m.
-1
Suppose 5*d - 8 = 17. Solve -11 = -d*y + 14 for y.
5
Suppose 0*q - 45 = -3*q. Solve -5 = -4*y + q for y.
5
Suppose -z - 24 = -7*z. Solve z*s = 3*s + 4 for s.
4
Suppose 5*v = 6 - 16. Let u = -2 - v. Solve u = y - 6*y + 15 for y.
3
Let r be (3 - 4)*(-3 - 0). Solve r*d = 2*d - 1 for d.
-1
Let p be (-1)/(-2) - 145/(-10). Let h = -6 + p. Solve -m + 4*m = h for m.
3
Let w(j) = 3*j - 1. Let c be (-2)/(-5) + (-9)/(-15). Let i be w(c). Solve 0*o - i*o = 8 for o.
-4
Let c be (3 - 3)*1 - 6. Let u = c - -14. Solve 3*r = 5 - u for r.
-1
Suppose -h + 3 = -3. Let a(s) = s**2 + 4*s - 2. Let v(f) = -6*f**2 - 19*f + 11. Let t(y) = 11*a(y) + 2*v(y). Let b be t(h). Solve b = -5*o + 19 - 4 for o.
3
Let h = -8 - -16. Suppose -3*m = -h*m, k - m - 15 = 0. Solve 5*x + 0*x - k = 0 for x.
3
Let p = 6 + -6. Suppose 76 = 4*k - 2*m, 2*m - 6*m = p. Solve -4*b - 1 - k = 0 for b.
-5
Suppose 0 = -2*b + 5 + 1. Suppose b*h - 16 = -h. Solve -2 = -h*z + 2 for z.
1
Suppose x - 3*h - 1 = 0, 3*x - 6*x + 2*h = -3. Let q(l) = -l**2 + 1. Let u be q(x). Solve u - 2 = d for d.
-2
Let g(a) = a**2 + a + 17. Suppose -2*m = 5*u - u + 4, u + 4*m + 8 = 0. Let y be g(u). Suppose 3*w = 4*j - 23, 3*j + 4*w - 11 = -0*w. Solve y - 2 = -j*s for s.
-3
Let k = -69 - -73. Let h(p) = -p**2 - 4*p - 5. Let x be h(-6). Let d = -10 - x. Solve d = -k*y - 9 for y.
-4
Let d be (1 - -2) + -4 - 1. Let x be (-3)/d*(1 - -1). Solve x*b + 2 - 5 = 0 for b.
1
Let h be 0*(3 + -1*2). Suppose c + h*c = 0. Suppose 4*i - 4*u - 12 = c, -5*i = -2*i + 4*u + 12. Solve i = -m - 4*m + 10 for m.
2
Suppose -5*c + 17*c = 8*c. Let g(u) = u + 7. Let n be g(-5). Solve -5*a + n*a + 15 = c for a.
5
Let g(q) = -2*q**2 - 2*q + 1. Let c(m) = 3*m**2 + 4*m - 2. Let j(k) = -4*c(k) - 7*g(k). Let l be j(2). Let o = 8 + -5. Solve -4*a = -o*a - l for a.
5
Let u(b) = b**2 + 14*b + 14. Let s be u(-12). Let n be 7 - (-5)/(s/(-6)). Solve -2*x - 3*x - n = 0 for x.
-2
Let m = 3 - 0. Suppose -3 = m*f - 15. Solve 0 = f*k + 10 + 6 for k.
-4
Let b = 8 - 8. Solve d = -b*d for d.
0
Let m be (-5 + 13)*(-1)/(-4). Suppose 6*f - m*f - 16 = 0. Solve q = f*q for q.
0
Let i(p) = -p**3 + 5*p**2 + 12*p + 16. Let z be i(7). Solve 2*m + z*m = 20 for m.
5
Suppose -3*u =
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose 7*g = -4*t + 2*g + 46, -23 = -3*t + u*g. Solve t*a = 4*a for a.
0
Let p(w) = -w**3 + 5*w**2 + 8*w - 12. Let i be p(6). Solve i*j + 3*j = 0 for j.
0
Let q(g) = g + 1. Let y be q(-4). Let l be 5/4 + y/12. Let d be l*2 - (-11)/1. Solve d = -3*p - 2 for p.
-5
Let f(i) = -i**2 + 17*i - 24. Let q be f(15). Solve v - 1 + q = 0 for v.
-5
Let d(c) be the first derivative of -c**4/4 + 5*c**3/3 + c**2 - 5*c + 3. Let j be d(5). Solve 0 = j*v + 3 + 17 for v.
-4
Suppose 0 = 5*k - 3*k - 8. Let n be (-11)/(-4) + (-3)/k. Solve n*d + 2 = d for d.
-2
Let c(d) = -2*d + 12. Let f be c(14). Let i = f + 19. Solve -i*a - 2 = -a for a.
-1
Let n(z) = -z**2 - 16*z - 8. Let s be n(-16). Let j be (s - 2)/(-2 + 0). Suppose 0 = -3*m - m. Solve d - j*d = m for d.
0
Let h be -2 + (-4)/(-2) - -7. Let i(o) = o - 7. Let s be i(h). Solve -4*w + s - 8 = 0 for w.
-2
Let b(v) be the third derivative of v**4/24 + 11*v**3/6 - v**2. Let s be b(-8). Let x = 1 + s. Solve p = x - 6 for p.
-2
Suppose 2*p + 3*o + o = -14, 3*o = p - 18. Solve r = -p*r + 12 for r.
3
Let j be -1 + 0 + 3 + 1. Suppose v = -2*v - j*p + 12, 14 = 4*v + 3*p. Solve -w = -v*w - 3 for w.
-3
Let b(y) be the third derivative of -y**6/720 + y**5/20 + y**4/6 + 3*y**2. Let h(l) be the second derivative of b(l). Let z be h(5). Solve -2*m - 3 = -z for m.
-1
Suppose 2*z - 12 = 6. Suppose -5*m + z + 6 = 0. Suppose 3*p = -9, 5*b + 5*p - 4 = 1. Solve -j - m = -b for j.
1
Suppose v - 5*b = 2, 12 = -4*v + b + 1. Let x be (2 + v)/(2/(-8)). Solve x*r + 8 = 2*r for r.
-4
Let n = 33 + -18. Suppose z = q + q - 3, 4*q = -5*z - n. Solve q*f + 5*f = -5 for f.
-1
Let v be (-5 + 2)/(-4 - -3). Solve 2*u + 15 = -v*u for u.
-3
Suppose 0 = l + 1 - 3. Solve s + s = -l for s.
-1
Suppose 4*d + 3*r - 18 = 0, -2*r + 21 = 5*d + 2. Let p = -5 - -13. Let v be 10/p - (-3)/(-12). Solve v = -t + d for t.
2
Let h(p) = -p**3 + 5*p**2 + 5*p + 8. Let t be h(6). Suppose -1 = -t*m + 1. Suppose 1 + m = k + x, 0 = 5*k - x + 2. Solve -6 = -k*r - 2*r for r.
3
Let q = 4 + 1. Let d = -3 + q. Solve d*u - 6 = -0 for u.
3
Let a = 6 - 2. Suppose 0 = 4*p - 3*b - 20, -b + 20 = 4*p + 3*b. Suppose -l = k - p, -4*k - l + 2*l = -35. Solve x - a + k = 0 for x.
-4
Let y be 8/(-6) - (-6)/(-9). Let x be 1 - (y + 2 + -3). Solve 3*f + x = -8 for f.
-4
Let w = 6 + -6. Solve w = -u + 4*u + 12 for u.
-4
Let m(x) = -x**3 - 5*x**2 - 4*x. Let t be m(-4). Solve -2*a = -t*a for a.
0
Let n(k) = -k**2 - 4*k + 4. Let g be n(-4). Let q = -3 + 4. Let v = -1 + q. Solve g*w + 27 - 7 = v for w.
-5
Let z(q) = q**2. Let j be z(0). Suppose -x - 9 + 4 = j. Let p(i) = i**3 + 5*i**2 + 2. Let f be p(x). Solve 1 = -3*g - f for g.
-1
Suppose 0 = 6*z - 42 - 0. Suppose z*n = n. Solve -4*f = -n*f for f.
0
Suppose 2*g = 5*m - 8, 2*g - 2 = -0*g. Solve -7 - m = -3*d for d.
3
Let i(q) = -q**3 + 7*q**2 + q - 10. Let y be i(7). Let v be (1 - -11) + (y - -3). Solve 0 = 3*d - 3 - v for d.
5
Suppose -r + 7 = -1. Let b(z) = -z**3 + 8*z**2 - z + 7. Let q be b(r). Let d = -1 - q. Solve d = -4*j - 0*j - 12 for j.
-3
Suppose 2*o - 6 = -0. Suppose -o + 0 = -3*f. Solve c - f = 4 for c.
5
Let r(x) = 10*x**2 - x. Let k be r(-1). Solve -3*u + 2 - k = 0 for u.
-3
Let a be 54 - (-1*3)/(-3). Suppose d = -2*w + a, d + d + 83 = 3*w. Solve -2 = -5*m - w for m.
-5
Let c be (-1 - -5)/(18/153). Suppose -10 = -b - 4*g + 2, 0 = -4*b - 2*g + c. Solve y + 3 = b for y.
5
Suppose 0*l - 3*l + 9 = 0. Suppose 4*y + 12 = 4*m, 3*y + l*m = -0*y + 21. Solve -20 = -y*w + 6*w for w.
-5
Let m be (-3)/(-2) + (-6)/4. Solve -2 = r - m*r for r.
-2
Suppose 3*b + 2 = 4*b. Solve 4*k = b*k for k.
0
Let v(y) = 6*y - 41. Let r be v(10). Solve -5*q + 6 + r = 0 for q.
5
Let z = -36 - -39. Solve -r = -2*r - z for r.
-3
Suppose -2*i - 25 = -7*i. Solve i*x - 22 = -7 for x.
3
Suppose 18 - 2 = -m. Let c be 4/(-6) + m/3. Let a be 36/10 + c/(-15). Solve -d + a*d = 12 for d.
4
Let r be (-44)/(-3) - 6/(-18). Suppose -r = -2*p - 3*p. Solve p - 4 = -o for o.
1
Suppose -o = -6*o. Let c = -2 - -4. Suppose 0*p = -c*p. Solve -d + p*d = o for d.
0
Let r = -13 - -3. Suppose 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
2, 2?
1/5
Which is the closest to 0? (a) 2/67 (b) 2.8 (c) 5
a
What is the nearest to -0.1 in 11/2, -1, 2, -3/2, -1/4?
-1/4
What is the nearest to 1/30 in -2, 3, -1/2, -1.2?
-1/2
What is the nearest to 28/17 in -1/8, 1/5, -2/15, 2/7, 7?
2/7
Which is the nearest to 8? (a) -1/4 (b) 2 (c) -10
b
Which is the closest to 0? (a) 3 (b) -9/10 (c) -31.1 (d) 2/9
d
What is the nearest to 1/2 in 30/11, 0.1, -2/31?
0.1
What is the closest to 1/2 in -2/9, 0.04, 119, -2/7, 2?
0.04
What is the nearest to 1 in -14, -1.17, 3?
3
What is the nearest to 0.2 in 4, 1/3, -1938, -2/5?
1/3
What is the closest to 1 in 3, -7.1, 1.224, 4?
1.224
Which is the nearest to 14643? (a) 1 (b) 1/6 (c) 3/2 (d) 0.1
c
What is the closest to -1/4 in 0.3, -5, -52?
0.3
What is the closest to 0 in 0.052, 2/93, -73?
2/93
What is the closest to -2 in -1/4, -2/21, 89, 2/29?
-1/4
What is the nearest to -2/3 in -3946, 0, -4, 3?
0
What is the nearest to 12 in 1, 0.05, 44, -1/7, 1/3?
1
What is the nearest to 46 in 0.442, 5, 1?
5
What is the closest to 0.2 in 4, -0.04, -8, 12?
-0.04
Which is the closest to -0.07? (a) 3/4 (b) 4819 (c) 0.2
c
What is the closest to -1 in -0.1, -2/9, 3/5, 0.75, -1/3?
-1/3
Which is the nearest to 19? (a) -2/17 (b) -0.4 (c) -16/5 (d) -1/5
a
What is the closest to 1/13 in 0.2, 1, 4, 1039?
0.2
What is the nearest to -0.05 in 0.116, -0.11, 5, -0.4?
-0.11
Which is the closest to 1/2? (a) -4 (b) 0.3 (c) -0.006 (d) 2 (e) -14/13
b
What is the closest to 0.4 in -2, -0.2, 0.04?
0.04
Which is the closest to 0.3? (a) 5 (b) 56/11 (c) -14
a
What is the nearest to 0.05 in 28/15, -5/3, 0.08, 0.1, 3?
0.08
Which is the closest to -44? (a) 2 (b) 3 (c) -2
c
What is the nearest to 0 in -0.4, -3, -73, -16, 1/3?
1/3
What is the closest to -296 in -5, 0.33, -1?
-5
Which is the nearest to 1? (a) -3/8 (b) -1 (c) 470/7
a
Which is the closest to -1? (a) -0.59 (b) 1/7 (c) 3/4 (d) 1
a
What is the nearest to -8 in -1/4, -8.2, 2/5, -1?
-8.2
Which is the nearest to -5/7? (a) -1/7 (b) -51 (c) 1/4 (d) 2/15 (e) 1/6
a
Which is the nearest to -0.69? (a) -544 (b) -2 (c) 3
b
What is the nearest to -0.06 in -1, -4/9, -0.00292, -3?
-0.00292
Which is the nearest to -0.2? (a) -3 (b) 1 (c) -0.4 (d) -91 (e) -22
c
What is the closest to 1/6 in 3/20, 0.1, -2/11, -0.4, 18/77?
3/20
What is the nearest to 0.1 in 4256, 2/9, -0.2?
2/9
What is the nearest to 0 in 175, -0.3, -43?
-0.3
What is the nearest to -14 in -2/7, 5, -5, 50, 2?
-5
Which is the closest to 0.02? (a) 2 (b) -4/5 (c) 0.3 (d) 7327
c
What is the closest to 0 in 1/2, 2, -19.5, -32?
1/2
What is the nearest to -38 in 0.4, -5, 3/8, 27, -0.2?
-5
What is the closest to -21 in -130, -1/6, 2/7?
-1/6
What is the closest to 0.2 in 6, 20/11, -3, 93, 5?
20/11
Which is the closest to 0? (a) 12 (b) 0.3 (c) 3 (d) 4.5
b
Which is the closest to -1/2? (a) 161 (b) 8/7 (c) -2/5
c
What is the closest to -43 in -3/8, -4.7, 1/4?
-4.7
Which is the nearest to 0.3? (a) 6 (b) -1/2 (c) -1.3 (d) -2
b
Which is the nearest to -3? (a) -0.6 (b) -0.09 (c) -1 (d) 6
c
Which is the nearest to 2? (a) -28 (b) -4 (c) -35
b
What is the nearest to -0.2 in 6/49, -2/13, -4, -2/7?
-2/13
What is the closest to 1/4 in 2/5, 672, -163?
2/5
What is the nearest to -0.1 in 1640, -2/5, 0.1?
0.1
What is the closest to 3/2 in 3, -43, -0.1, 1/9, -3?
1/9
Which is the nearest to -2/7? (a) -1/394 (b) 1/5 (c) -4/11 (d) -2/19
c
Which is the closest to 0.02? (a) 5 (b) 3 (c) -3/7 (d) 1425 (e) -1/6
e
What is the nearest to -2/3 in 0.2, -0.3, -37, 0.6, -4?
-0.3
What is the nearest to 0 in 1, 37, -57?
1
Which is the closest to 0.7? (a) -3.2 (b) 5 (c) 6
a
Which is the closest to 1/7? (a) 4 (b) 3/4 (c) -975
b
What is the nearest to 654 in 8, -5, 2, 0.1, 2/31?
8
What is the closest to 13 in -5, 2/5, 733/4, -0.2?
2/5
What is the closest to 2/49 in 1/4, -7, 0, 0.2?
0
What is the closest to 1/44
|
{
"pile_set_name": "DM Mathematics"
}
|
e million.
-6000000
Round -2.83869897 to 4 dps.
-2.8387
What is -0.027035268 rounded to 6 decimal places?
-0.027035
What is -22024171.2 rounded to the nearest one million?
-22000000
What is 0.014347771 rounded to 4 decimal places?
0.0143
Round -29649057 to the nearest 100000.
-29600000
What is -0.0001832516267 rounded to six dps?
-0.000183
Round 749189464 to the nearest one hundred thousand.
749200000
Round -1.47157449 to four dps.
-1.4716
Round -123.36942626 to 1 dp.
-123.4
Round -22810577600 to the nearest 1000000.
-22811000000
Round -1178821.72 to the nearest 1000.
-1179000
Round -6267809575 to the nearest 1000000.
-6268000000
What is 90761.316 rounded to the nearest 10000?
90000
Round -28692.23867 to the nearest 10.
-28690
Round -192.870133 to the nearest ten.
-190
What is -0.0432757106 rounded to 3 dps?
-0.043
Round -0.0009691952682 to 6 decimal places.
-0.000969
Round 168482903 to the nearest ten thousand.
168480000
Round 129.124156 to one dp.
129.1
Round 0.000150775758 to seven dps.
0.0001508
Round 50781.1227 to the nearest integer.
50781
What is -0.0000259515413 rounded to seven decimal places?
-0.000026
What is -17182488.4 rounded to the nearest 100000?
-17200000
What is 0.002328300824 rounded to 7 decimal places?
0.0023283
What is 44.168833 rounded to two decimal places?
44.17
What is -1828.92126 rounded to 0 decimal places?
-1829
Round -2.04420815 to 4 dps.
-2.0442
What is 51499541.6 rounded to the nearest 100000?
51500000
What is 60.4191435 rounded to the nearest ten?
60
What is -5393798.044 rounded to the nearest ten thousand?
-5390000
What is 0.000056631466 rounded to seven dps?
0.0000566
Round -86103730.4 to the nearest 100000.
-86100000
What is -0.02570966161 rounded to 6 dps?
-0.02571
What is -0.0022040141519 rounded to 4 decimal places?
-0.0022
What is 87377766.6 rounded to the nearest ten thousand?
87380000
What is 933984.1 rounded to the nearest 100000?
900000
Round 0.4203295601 to two dps.
0.42
What is 1308045.508 rounded to the nearest 100000?
1300000
What is -2.4116312 rounded to 2 decimal places?
-2.41
What is -174422023.5 rounded to the nearest ten thousand?
-174420000
Round -4938648.676 to the nearest one thousand.
-4939000
Round 0.00000161799412 to 7 decimal places.
0.0000016
Round -0.1684137945 to 2 decimal places.
-0.17
What is -385430742 rounded to the nearest 10000?
-385430000
What is 404329.39 rounded to the nearest one hundred?
404300
Round 4240.526876 to the nearest one hundred.
4200
What is -8.3550979 rounded to 1 decimal place?
-8.4
What is -6562.2187 rounded to the nearest one thousand?
-7000
Round -0.89223859 to 4 decimal places.
-0.8922
Round -134304.34 to the nearest 100000.
-100000
Round 37699.02528 to the nearest integer.
37699
What is 0.24199258 rounded to two decimal places?
0.24
Round -30014.15124 to 0 dps.
-30014
What is 4316.636665 rounded to the nearest ten?
4320
Round 691579.6108 to the nearest one hundred.
691600
Round -0.0102748868 to 3 decimal places.
-0.01
What is 0.00169568835 rounded to five decimal places?
0.0017
What is -10394481200 rounded to the nearest one million?
-10394000000
What is -1251485.138 rounded to the nearest 100?
-1251500
Round 2458409.53 to the nearest 100000.
2500000
What is 10761326.4 rounded to the nearest one million?
11000000
Round -678280944 to the nearest one million.
-678000000
Round 6.68509835 to 4 decimal places.
6.6851
Round 61688.5508 to the nearest ten thousand.
60000
What is 20.09560036 rounded to 1 dp?
20.1
Round -0.000098909221 to 6 decimal places.
-0.000099
What is 12050.261343 rounded to the nearest 1000?
12000
What is -287269768.9 rounded to the nearest 100000?
-287300000
Round -0.000018062036 to 7 dps.
-0.0000181
What is -1954.937559 rounded to the nearest one hundred?
-2000
What is 81.8314011 rounded to 3 dps?
81.831
What is -425035336.2 rounded to the nearest one hundred thousand?
-425000000
What is -706028.115 rounded to the nearest 1000?
-706000
Round -0.000195689092 to seven dps.
-0.0001957
Round -3.8350205 to 1 decimal place.
-3.8
What is -0.03846877825 rounded to three decimal places?
-0.038
Round -10.814443904 to 2 decimal places.
-10.81
Round 318.786354 to the nearest ten.
320
Round -5.941467029 to two decimal places.
-5.94
Round -0.0077195878 to 5 decimal places.
-0.00772
What is -0.0000977367967 rounded to 6 decimal places?
-0.000098
What is -0.000333259326 rounded to 5 decimal places?
-0.00033
What is 64.23129041 rounded to the nearest ten?
60
What is 0.000062936682 rounded to seven decimal places?
0.0000629
Round 689949.95 to the nearest one thousand.
690000
What is 0.0001686583014 rounded to four decimal places?
0.0002
What is 47092.982 rounded to the nearest one hundred?
47100
Round -706.6112 to 1 dp.
-706.6
Round 2427620.82 to the nearest ten thousand.
2430000
Round -5.605662206 to one dp.
-5.6
What is 333115.7129 rounded to the nearest 100?
333100
Round -21.9261988 to three dps.
-21.926
What is -0.000001736025 rounded to seven dps?
-0.0000017
Round -0.146438414 to four dps.
-0.1464
Round -25626378020 to the nearest 1000000.
-25626000000
Round -142328.62 to the nearest one thousand.
-142000
What is -16018.0755 rounded to the nearest ten?
-16020
What is -26461125.3 rounded to the nearest 1000000?
-26000000
What is 31808833.9 rounded to the nearest one million?
32000000
Round 25623576.4 to the nearest 10000.
25620000
What is -5.5910882 rounded to two dps?
-5.59
Round 2013.22598 to the nearest one hundred.
2000
Round -44657.14155 to the nearest one thousand.
-45000
Round -0.0415563829 to 4 decimal places.
-0.0416
What is -6.581703 rounded to one dp?
-6.6
What is 183943.8204 rounded to the nearest 1000?
184000
What is -169.463135 rounded to the nearest ten?
-170
Round 7114.20179 to the nearest one thousand.
7000
What is -142.427487 rounded to one dp?
-142.4
Round 116.251045 to 0 dps.
116
Round -21477.048 to the nearest 100.
-215
|
{
"pile_set_name": "DM Mathematics"
}
|
21*t**3 - 2
Expand -o + 72 - 29 + 9*o**2 - 45 + (4*o + 2*o - 4*o)*(4*o + 2*o - 5*o) + 5 + o**2 - 5.
12*o**2 - o - 2
Expand 3*x**2 + 5 - 2*x**2 + x - 2*x + 0*x - 2*x**2 + 0*x + (-3*x + 3*x - x)*(3 - 3 + 2*x).
-3*x**2 - x + 5
Expand (968 + 99*c - 968 + 2*c + 1 - 1 + (-1 + 1 - c)*(0 + 1 + 0))*(4 - 2 + 0).
200*c
Expand -3*c + 2*c**2 + 3*c + (4 - 3 - 4)*(0*c**2 - 3*c**2 + 2*c**2) - 2*c**2 - c**2 + 5*c**2.
7*c**2
Expand (5*r**2 - 2*r**2 - 2*r**2)*(8 - 6 + 2 + (1 + 2 - 2)*(0 + 3 - 5)).
2*r**2
Expand (-5*a**2 + a**2 - 2*a**2)*(-6*a**3 - 10*a**3 + 3*a**3) - 2*a**5 + 7*a**5 - 3*a**5.
80*a**5
Expand (-2*u**3 + u**3 - 3*u**2 - u**3)*(-1511 + 666 + 575) + u - u - u**3.
539*u**3 + 810*u**2
Expand (-z**2 - 2*z**2 + 7*z**2 + (-2*z + 3 - 3)*(2*z + 0 + 0) - 3*z + 2*z**2 + 3*z + z**2 - 1 + 1 - 7*z**2 - 2*z + 2*z)*(3 + 2 - 1).
-16*z**2
Expand (-5*t + 2*t + 5*t)*(2*t**2 - 4*t**2 + 0*t**2) + 13*t - 43*t + t**3 - 43 + 38.
-3*t**3 - 30*t - 5
Expand (44 + 41 - 5)*(-d - 3 + 3) + (1 - 5 + 2)*(0*d + d - 2*d).
-78*d
Expand (12*o + 38 - 38)*(-2*o - 17*o**3 - 1 + 3*o + 28*o**3).
132*o**4 + 12*o**2 - 12*o
Expand (-3*g**2 - 3*g**2 - 23*g**2)*(-g**2 + 12*g - 12*g) + (0*g + 3*g - g**2 - g)*(g**2 - 1 + 1).
28*g**4 + 2*g**3
Expand (-2*n + 4*n + 2*n)*(-3*n + 4*n + 0*n) + n**2 - n**2 + n**2 + 5*n**2 + 0 + 0 + (-4*n + 0*n + 5*n)*(4*n - 5*n - n).
8*n**2
Expand (-3*q**3 + 4*q**3 - 2*q**3)*(5 - 5 - 2*q) + 3*q**2 - 3*q**2 + 2*q**4 + 17080*q**4 - 17078*q**4 + 464*q**2 + 70*q**2.
6*q**4 + 534*q**2
Expand (-9*c**3 + 8*c**3 + 5*c**3)*((-2*c**2 + 5*c**2 - 2*c**2)*(0 + 1 + 0) + 2*c**2 - 4*c**2 + 3*c**2 + 2*c**2 + c**2 - 2*c**2 - c + c - 6*c**2).
-12*c**5
Expand (3*u + u - 3*u)*(7*u - 3*u + u) + 2*u - 2*u**2 - 2*u - 8*u**2 - 9*u**2 - 5*u**2.
-19*u**2
Expand (-2*k - k + k - 5 + (-2*k + 5*k - k)*(-5 + 4 - 3))*(-k + 3 - 3).
10*k**2 + 5*k
Expand (-h + 2*h + 0*h)*(1 - 2*h**2 - 1) + 4*h**3 + 0*h**3 - h**3 + (-16*h**2 + 78 - 78)*(0*h - 2*h - h).
49*h**3
Expand (-4*w**2 + 5*w**2 + 5*w**2)*(-2*w**2 + w**2 + 3*w**2) + (w**4 - 2*w**4 - 2*w**4)*(5 + 2 - 1).
-6*w**4
Expand 4*d**4 - 15*d**4 - 6*d**4 + (-3*d**2 - 3*d**2 + d**2)*(2*d**2 + 3*d**2 - 6*d**2).
-12*d**4
Expand (-3*j**2 - j**2 + 6*j**2)*(-70*j**3 + 101*j**3 + 121*j**3).
304*j**5
Expand -1683 + 1683 - 15*x**2 - 2*x**2 - 3*x + 3*x + (x - 4*x + 2*x)*(2*x + x - 2*x).
-18*x**2
Expand (10*k - 26*k - 121 + 120)*(-7 + 3 + 0).
64*k + 4
Expand -2 + u + 2 + u - 8*u - 4*u + (0 + 3*u + 0)*(8 - 2 + 3).
17*u
Expand (-27*k**4 + 42*k**3 - 42*k**3)*(-1 + 1 - 4).
108*k**4
Expand (38 + 3*u - 38)*(4 + 4 - 1) + (0 - 3 + 4)*(-2 + 2 - 2*u) + (1 - 1 + u)*(0 - 1 + 0) + 5*u - 3*u - 4*u.
16*u
Expand (-7 - 18 + 4)*(2 - 3 - 1)*((6*k**2 + 11*k - 11*k)*(0*k + 2*k**2 + 0*k) + 0*k**4 - 5*k**4 + 3*k**4).
420*k**4
Expand (-9 + 9 + 4*p)*(0*p - 3*p - p).
-16*p**2
Expand (-17*p - 25*p - 31*p)*(2*p + 2*p - 6*p) - 2*p**2 + 5*p**2 - p**2 + (3 + p - 3)*(-6*p + 2*p + 3*p).
147*p**2
Expand (1 + 2 + 4*s + 2)*(-s**2 + 9*s**2 + 3*s**2 - 1).
44*s**3 + 55*s**2 - 4*s - 5
Expand ((2*b + 1 - 1)*(3 + 0 - 1) + b + b - 3*b - 4*b + 4*b + 21*b)*(-b**2 - 4*b**2 + 6*b**2).
24*b**3
Expand (2*j + 0 + 0)*(2*j**4 - j**2 + j**2) + 0*j**5 + 5*j**5 - 4*j**5 - 84*j**2 + 92*j**2 - 17*j**5 + 5*j**5.
-7*j**5 + 8*j**2
Expand (2*r + 0 + 0)*(0 + 3 - 4) + 354 - 354 - 272*r.
-274*r
Expand (b**2 + 7*b**4 - 3*b**2 + b**2)*(-9*b - 3*b + 0*b).
-84*b**5 + 12*b**3
Expand -2*w**2 + 2*w**2 - w**5 - 26*w**2 + 26*w**2 + 16*w**5 + (3*w**4 + 4*w - 4*w)*(4*w - 5*w + 0*w) - w**5 + 6*w
|
{
"pile_set_name": "DM Mathematics"
}
|
n*n**0)/n)**43 assuming n is positive.
n**(8320/9)
Simplify (((g**(1/2)*g)/g*g**(-1/2)/g*g)/(g/(g**(-2/33)*g)*g*g/g**2))**4 assuming g is positive.
g**(-8/33)
Simplify (x*x/x**(7/8)*x*((x/x**(3/20)*x)/x*x)/x*(x/(x/x**(-9/2)))**(-9/4))**45 assuming x is positive.
x**(1179/2)
Simplify ((z**(-2/13)*z**7)/(z*z/z**(-2/21)*z/(z*z*z/(z/((z*z*z**(2/25))/z)))))**(2/31) assuming z is positive.
z**(93242/211575)
Simplify (h/h**0)**(-33)*h**(2/11)/(h/(h*(h/h**(-1/3))/h))*(h**(5/2)*h/(h/h**(-7)*h))**(6/13) assuming h is positive.
h**(-15025/429)
Simplify ((u*u/u**(-1/6))/u**3)**(2/15)*(((u/(u**(-6)*u))/u)/u**(-8))**(-43) assuming u is positive.
u**(-5032/9)
Simplify (q/(q*(((q*q/q**(-3/11))/q*q*q)/q*q)/q)*q**(-8))**(-2/163)/(q**(-1/3)*q**(-5/3))**(2/97) assuming q is positive.
q**(29094/173921)
Simplify (y**(-4/9)*y**(-2/13))**(-2/31)/(y/(y*y**(-4))*y**7)**(4/5) assuming y is positive.
y**(-158888/18135)
Simplify (f/f**(2/5)*f**0*f**2/(f**(-1/7)/f*f))/(f**(-3)*f**6)**(-14) assuming f is positive.
f**(1566/35)
Simplify (c**(-19)/c)**(1/24)/((c**(-25)/c)/(c*c**(-4/13))) assuming c is positive.
c**(2017/78)
Simplify ((t/t**(-13)*t*t/(t*t/t**(-2/11)))/(t**(-13)*(t**(-3)/t)/t))**26 assuming t is positive.
t**(9100/11)
Simplify (c**(-7)/c*c**(-1/2)/c*(c*c*c/(c*c/(c**(-1/2)/c)*c)*c)**13)/((c**(2/5))**(3/5))**(2/9) assuming c is positive.
c**(-1204/75)
Simplify (((o**(-2/5)/o)/(o*o**(-1/6)))/(o/(o*(o/((o/o**(-2/7))/o))/o*o*o*o)*o)**(-1/7))/(o**(1/3)*o**(-4/9)*(o**(-2/5))**(-50)) assuming o is positive.
o**(-98639/4410)
Simplify ((m*m*m/m**(-2))/m**(-7)*m*m**(4/7)*m**(-7/4))/(m*m**(2/13)/m*m**(-4)*m**(2/13)/(m**(-7/2)/m)) assuming m is positive.
m**(4009/364)
Simplify (f**(-2/3))**(-2/31)/(f**(-6)/(f*f**(2/11)*f))*((f**3)**(5/11))**(-2/9) assuming f is positive.
f**(8104/1023)
Simplify ((t**0)**31*t*t*t/(t**6*t*t)*t*t*t**(1/5)/t)/((t/(t*t/t**(-1/4)*t*t)*t)**(-4/5))**24 assuming t is positive.
t**(-47)
Simplify ((j/j**(-1))**16/(j*j**0*j*j/((j*((j**(-5/3)/j)/j)/j)/j)))/((j**4/j**(1/7))/((j*j**5*j)/(j*j/j**5))) assuming j is positive.
j**(640/21)
Simplify ((l**(-6/13)/l*l)**(-3)/((l*l/l**22)/(l/l**(6/13))))**22 assuming l is positive.
l**(6270/13)
Simplify (h**(1/2)*h**(-6))**12*(h/(h/h**1*h))**(-10/13)*h**2*h**1 assuming h is positive.
h**(-63)
Simplify (((v/v**6)/(v**3*v)*v**4/v*v**(-2/5))**20)**26 assuming v is positive.
v**(-3328)
Simplify (a**17/a*(a/((a/(a/a**18))/a))/a*a**3*a**18)**(2/59) assuming a is positive.
a**(40/59)
Simplify (a*a/(a**(5/4)/a)*a/(a*a*a*(a*a**(-1/7))/a*a)*a/(a*a/(a*(a*(a**16/a)/a)/a))*a*a/(a/(a*a/(((a**(-3)*a)/a*a*a)/a))))**(-22) assuming a is positive.
a**(-5511/14)
Simplify ((t/t**(1/2))**(1/36)/((t*t**(9/5))/t**(-18)))**35 assuming t is positive.
t**(-52381/72)
Simplify l/(l**(-1/14)*l)*l*l**18*l*l**40*l**0 assuming l is positive.
l**(841/14)
Simplify (((q/(q*q**(3/13)))/(q**(1/2)*q))/(q**(1/10))**11)**(-42) assuming q is positive.
q**(7728/65)
Simplify (i**2/i**(3/4))**31/((i/(i*i/(i**(-10)*i)))/i**0)**22 assuming i is positive.
i**(1035/4)
Simplify ((o**(-2/5))**32/((o*o/o**(1/6))/o)**(-7/2))**(-2/75) assuming o is positive.
o**(593/2250)
Simplify ((i**1*i)/(i**(-1/2)/i))**(-3/16)*((i*i**3)/i*i/(i/i**(1/8))*i)/(i*i**(-2)/i*i/i**(-5)) assuming i is positive.
i**(-17/32)
Simplify (((f**(1/3)*f*f**(2/31))/(f/f**(-2/7)*f*f**8))**(3/4))**(-19/5) assuming f is positive.
f**(54967/2170)
Simplify (o**4*(o*o/o**(1/9))/o*o)/(o**(-1/2)*o)**27*((o*o**0*o)/(o**(-4)/o))**28 assuming o is positive.
o**(3391/18)
Simplify (g**(-3)*g*(g*g/(g/g**2))/g*((g**2*g)/g)**(-1/2))**32 assuming g is positive.
g**(-32)
Simplify ((m**(-2/5)/m)/m)**(13/7)*(m**1)**(-4/3)*(m**(-2/9)/(m/(m/m**(2/9))))/((m/m**3)/(m**2*m)) assuming m is positive.
m**(-389/315)
Simplify (((((n/n**(-1))/n)/n)/n**4)/((n/(n*n**(1/7)/n))/n**(-5/3)))/((n**(2/11)/n*n)/n**(3/2)*n*n*n**6*n*n/(n/n**7)) assuming n is positive.
n**(-9797/462)
Simplify ((i**(-1))**(12/11)*(i**1)**2)/((i**(2/5)/i*i*i)**(-45)/(i**(-2)*i*i**6)) assuming i is positive.
i**(758/11)
Simplify (((o/((o/(o*o*o**(1/3)*o))/o))**47/((o*o*(o/o**(2/5))/o)/o)**(7/5))**(-2/23))**(-40) assuming o is positive.
o**(243392/345)
Simplify (y**(1/15)*y**(2/9)*y*(y*y*y**1*y*y)/y*y*y*y**(-3/2))/((y*y**(1/5)*y**(1/4))/((y**6*y)/y**(-3/4
|
{
"pile_set_name": "DM Mathematics"
}
|
pose -4*k - k - 4*c + 2869 = 0, 5*k - 2*c = 2893. Suppose 3*a + k = 124. Let q = -72 - a. What is the units digit of q?
9
Let l(g) = -60*g + 218. What is the tens digit of l(-7)?
3
What is the units digit of (1205/5)/((-902)/(-1716) - 1/2)?
9
Suppose -2 = -i + 10. Let r = i + 254. What is the hundreds digit of r?
2
Let n be 7 + (-48 + -6)/(-6). Suppose 0 = 2*o - n - 1212. What is the tens digit of o?
1
Suppose -5*b + 3*g = -20, 2*b - 2*g - 8 = -4*g. What is the tens digit of 1015 + b + 40/(-8)?
1
Let i(r) = 6*r**2 - 7*r - 4. Let f(w) = -4*w**2 + 7*w + 3. Let c(y) = 5*f(y) + 4*i(y). What is the tens digit of c(-8)?
9
Let a(m) = 3321*m**2 - 9*m - 13. What is the tens digit of a(-1)?
1
Let p = -41697 + 69067. What is the ten thousands digit of p?
2
Suppose 0 = 47*s - 43*s - 1220. Suppose s = 3*b - 2491. What is the units digit of b?
2
Let a(i) = 7*i**3 - 19*i**2 - 42*i + 91. What is the thousands digit of a(15)?
8
Let j = -274 + 268. Let r(o) = -2*o**3 - 7*o**2 - 20*o - 5. What is the hundreds digit of r(j)?
2
Let s(c) = -72*c + 5. Let y be 15/(-3)*(-2 + 1). Let v(r) = -36*r + 2. Let m(p) = y*v(p) - 3*s(p). What is the tens digit of m(2)?
6
Let h = -5447 - -3034. Let a = 4069 + h. Suppose j = -8*j + a. What is the units digit of j?
4
Let y be (14/(-28))/((-1)/18). What is the hundreds digit of (308 + -2)*y/6?
4
Let b be (-1)/((-3)/(-51)*-1). Suppose 16*x - b*x + 16 = 0. Suppose -136 = -2*v - 4*p, -4*p = -0 + x. What is the tens digit of v?
7
Let l(x) = x**2 - 12*x - 17. Let k be l(15). Suppose 7*w = -k - 14. Let a(t) = t**3 + 9*t**2 + 15*t + 2. What is the units digit of a(w)?
0
Suppose -8 = -u + 2*u - 3*n, 5*u - 30 = n. What is the units digit of (498/(-5))/(u/(-35))?
8
Suppose -65*c + 60*c - 3*j = -7064, -3*j = -5*c + 7076. What is the tens digit of c?
1
Suppose d = -4*l - 25953 + 135375, 54718 = 2*l - 3*d. What is the tens digit of l?
5
Let j(c) = 5*c**3 - 153*c**2 + 35*c + 165. What is the tens digit of j(31)?
7
Let m(u) = -907*u - 63. What is the units digit of m(-1)?
4
Suppose -4*v - s + 20224 = 3*s, -5*v + 25282 = 4*s. Suppose 8*b - v = -b. What is the tens digit of b?
6
Let l = 277 + -481. What is the tens digit of l/(-1224) - ((-718)/(-12))/(-1)?
6
Let g(a) = 2*a + 12. Let h be g(-5). Suppose 0 = -h*r - 0*o + o + 11, -4 = 2*r + 4*o. Suppose -r*v = -5*v + 79. What is the tens digit of v?
7
Suppose -13*z + 209956 + 91553 = 0. What is the thousands digit of z?
3
Let k(x) be the second derivative of 92*x - x**3 - 77*x + 6*x**2 - 5*x**3. What is the tens digit of k(-2)?
8
Suppose -r + 6946 = 17*v - 15*v, 0 = -5*v - 25. What is the thousands digit of r?
6
Let o = -69 + 78. Suppose o*m + 7 = 16*m. What is the units digit of (-3 - (-68)/(-6))/(m/(-3))?
3
Let b(t) be the third derivative of t**6/60 - t**5/5 - 17*t**4/24 + 29*t**3/3 + 2*t**2 + 10*t. What is the tens digit of b(7)?
3
Let h(p) = 1. Let j = 44 - 41. Let u(l) = -21*l - 2. Let w(c) = j*h(c) + u(c). What is the hundreds digit of w(-6)?
1
Let t(f) = 96*f + 141. Let d be t(7). Let x = -377 + d. What is the tens digit of x?
3
Let q = -1 - -405. Suppose 8 = -2*k, -5*l + 5*k + 1241 + q = 0. What is the tens digit of l?
2
Let s(a) = -3*a + 41. Let f be s(15). Let d(k) = -k + 7. Let o be d(f). Suppose -o*g = -6*g - 480. What is the units digit of g?
6
Let c(x) = -x**3 + 76*x**2 + 70*x - 3978. What is the hundreds digit of c(68)?
7
Let x(z) = z**3 + 14*z**2 + 12*z - 9. Let i be x(-13). Suppose 3*k + 5 = 11, i*v - 556 = -2*k. Suppose -v*p + 141*p = 348. What is the units digit of p?
6
Suppose -3*f - 1275 = -3*z, 4*z - 3*z - 422 = 2*f. Suppose y - i - z = -54, -4*i + 16 = 0. Let q = y + -261. What is the tens digit of q?
1
Suppose -2*r = -8*r + 408. Suppose u = 4*u, 4*o + r = -u. Let i = o + 107. What is the units digit of i?
0
Let b be 8868/(-10 - -4)*(-3)/6. Suppose 3*i - 191 = b. Suppose -15*x - i = -17*x. What is the hundreds digit of x?
1
Suppose 3*i + 2*h - 25 = 0, 2*i + h = -2*i + 40. Let s(w) = -w**2 + 12*w + 10. Let r be s(i). What is the units digit of -1 + r - (17 + -19)?
2
Let u = -35730 - -63662. What is the ten thousands digit of u?
2
Suppose -577495 - 973114 = -19*p. What is the tens digit of p?
1
Suppose 0 = -27*j + 225849 - 3259 + 220642. What is the ten thousands digit of j?
1
Suppose -5*i - 23 = -48. Suppose -5*r + 9 = 4*y, -i - 3 = 2*y. What is the hundreds digit of (-3)/(-15) + 774/r?
1
Let s(c) = 16*c - 8. Let h be s(1). Suppose q - 19 = -6*p + p, -4*p = -q - h. Suppose m = 3*d - 263, q*d + d - 3*m - 445 = 0. What is the units digit of d?
6
Let p be (5/(-10))/((-3)/(-786)). Let q = -60 - p. What is the tens digit of q?
7
Let x(
|
{
"pile_set_name": "DM Mathematics"
}
|
00)/(-26) - (-24)/156. Let c = m + -252. Let -2 - 4/3*x - 2/9*x**c = 0. Calculate x.
-3
Let o(i) be the second derivative of -44521*i**4/102 - 844*i**3/51 - 4*i**2/17 - 2*i - 1623. Solve o(u) = 0.
-2/211
Let z(q) = 10*q**3 + 110*q**2 + 30*q - 985. Let t(o) = -7*o**3 - 110*o**2 - 33*o + 986. Let d(g) = -5*t(g) - 4*z(g). What is c in d(c) = 0?
-3, 3, 22
Let p be ((-14)/12 - 2009/(-1722))*1. Let y be (-1 - 4/(-8))*-4. Let 32/11*t + 2/11*t**3 + 16/11*t**y + p = 0. Calculate t.
-4, 0
Let w = 4147085/806379 - -1/115197. Factor 81/7*p**2 - w*p + 4/7.
(9*p - 2)**2/7
Let m(r) be the first derivative of -r**5/150 + r**4/60 + 2*r**3/15 - 34*r**2 - 145. Let b(w) be the second derivative of m(w). Factor b(k).
-2*(k - 2)*(k + 1)/5
Let g(l) = 10*l**2 - 2. Let s(j) = -141*j**2 + 87*j + 168. Let o(m) = -15*g(m) - s(m). Determine i, given that o(i) = 0.
-23/3, -2
Let f(d) = -2*d**2 - 87*d - 416. Let i be f(-38). Let g(b) be the first derivative of 1/3*b**3 + 9 + 1/2*b**i + 0*b. Determine n so that g(n) = 0.
-1, 0
Let l = 8115 + -97379/12. Let f(v) be the first derivative of 1/3*v**3 + l*v**6 + 0*v**4 + 0*v - 1/5*v**5 + 35 - 1/4*v**2. Solve f(d) = 0.
-1, 0, 1
Suppose 362*q + 1334 = 1029*q. Determine u so that -8/5 - 12/5*u**q + 2/5*u**3 + 18/5*u = 0.
1, 4
Factor -72*c**3 + 4000 - 6223*c**2 - 1600*c - 105*c**3 + 4033*c**2 - 28*c**3 - 5*c**4.
-5*(c - 1)*(c + 2)*(c + 20)**2
Suppose 2*q - 9 = -t, -7 = -q - 6*t + 3*t. Suppose k - 18 = -q*k + 3*y, 1 = k + 2*y. Suppose -k*s**2 + 4*s + 9*s - 7*s - 3 = 0. What is s?
1
Let b = 110906 - 443623/4. Factor 1/4*i**2 + 0 + b*i**4 + 3/2*i - i**3.
i*(i - 3)*(i - 2)*(i + 1)/4
Let o(x) = -x**3 + 6*x**2 - 591*x + 4188. Let h be o(7). Factor 0 + 0*k - 13/7*k**h - 1/7*k**3.
-k**2*(k + 13)/7
Let o(k) be the third derivative of -k**8/53760 + k**7/3360 + 7*k**6/5760 + k**4/3 + k**3/6 - k**2 + 5. Let i(b) be the second derivative of o(b). Factor i(a).
-a*(a - 7)*(a + 1)/8
Let h(b) be the first derivative of 4*b**3/3 - 32*b**2 + 4897. Determine g so that h(g) = 0.
0, 16
Let k be 1990/4 + (-14 - (-350)/28). Let n = k - 493. Suppose 2/17*o**4 + 0 + 18/17*o + 6/17*o**2 - 10/17*o**n = 0. What is o?
-1, 0, 3
Let l(p) be the second derivative of p**5/70 + 19*p**4/42 + 83*p**3/21 + 65*p**2/7 - 11*p - 66. Suppose l(f) = 0. What is f?
-13, -5, -1
Let x(g) be the first derivative of -8*g**5/25 - 609*g**4/10 - 296*g**3/15 + 609*g**2/5 + 304*g/5 + 3471. Determine f, given that x(f) = 0.
-152, -1, -1/4, 1
Let z = -55415 + 55417. Factor 2/3*c**3 + 256/3 - 28/3*c**z + 64/3*c.
2*(c - 8)**2*(c + 2)/3
Let l(m) be the third derivative of -1/60*m**6 + 10/3*m**4 + 179*m**2 + 7/30*m**5 + 0*m + 44/3*m**3 + 0. Solve l(o) = 0.
-2, 11
Let v(p) be the second derivative of -p**5/90 + 13*p**4/54 + 560*p**3/27 + 1100*p**2/3 + p - 5590. Determine f so that v(f) = 0.
-10, 33
Let g(n) = -n**3 + 16*n**2 - 16*n + 17. Let p be g(15). Suppose -15 + 11 = j + p*s, -4*s - 8 = 3*j. Factor j - 5/4*l**2 + 1/4*l**3 + l.
l*(l - 4)*(l - 1)/4
Solve -6/11*c**3 - 468/11 + 468/11*c**2 + 6/11*c = 0.
-1, 1, 78
Let s be (12/21)/(20/70). Let m be (-18)/5*10/(-3). Factor -21*b + m*b - 29*b - b**3 - 11*b - 14*b**s.
-b*(b + 7)**2
Find j, given that -3/4*j**4 - 171/4*j**2 - 61/4*j**3 - 11/4*j + 51/2 = 0.
-17, -3, -1, 2/3
Let a = -86 + 82. Let m(f) = 2*f**2 + 7*f - 1. Let h be m(a). What is r in -6*r - 14*r - 10*r**2 - r**h - 17*r + 12*r = 0?
-5, 0
Let u(v) be the third derivative of -v**8/504 - 8*v**7/315 + 17*v**6/180 + 34*v**5/15 + 5*v**4 - 1933*v**2. Let u(z) = 0. What is z?
-6, -1, 0, 5
Find y, given that -5/2*y**2 + 250*y + 0 = 0.
0, 100
Let m be (3/(-2))/(1/(-2)). Suppose 53*g - 62*g = -711. Factor 3*p + m*p + g*p**3 - 31*p**3 + 33*p**2 + 21*p**4.
3*p*(p + 1)**2*(7*p + 2)
Let j be (-3686)/8 - ((-1311)/(-76) + -17). Let v be (j/1844)/(((-1)/(-12))/(-1)). Solve -2/13*g**v - 4/13*g**2 + 4/13 + 2/13*g = 0.
-2, -1, 1
Let f(d) = 63*d**2 - 540*d - 555. Let x(a) = -73*a**2 + 539*a + 556. Let j
|
{
"pile_set_name": "DM Mathematics"
}
|
e of 15*s**4/2 + 1301*s. What is g(v(j))?
-40500*j**4
Let u(y) be the third derivative of -y**5/10 + 871*y**2. Let o(f) = 5*f - 35. What is o(u(m))?
-30*m**2 - 35
Let q(n) = 3*n**2. Let a be 9/2*(-70)/(-15). Let z be (8/(-6))/((-14)/a). Let g(m) = 7*m**2 + m**2 + 2*m**z. What is q(g(t))?
300*t**4
Let q(p) = -151*p. Let m(g) = 78672*g. Let s(a) = 2*m(a) + 1043*q(a). Let w(o) = -40*o - o**2 + 40*o. Give w(s(z)).
-22201*z**2
Let z(k) = 617*k. Let f(p) = 542718*p. What is f(z(i))?
334857006*i
Let t(o) = -8*o**2 + 33*o**2 + 4*o**2. Let z(k) = -194*k + 16. Let a(v) = -12*v + 1. Let i(l) = -16*a(l) + z(l). Determine t(i(y)).
116*y**2
Let f(y) be the second derivative of -y**4/4 - 1810*y. Let n(r) = -17*r. Determine f(n(u)).
-867*u**2
Let i(s) = -3*s. Let k(f) = -f**2 + 2231788*f. Calculate i(k(n)).
3*n**2 - 6695364*n
Let d(m) = -403*m**2. Let g(f) = 46036*f**2. Calculate d(g(o)).
-854083258288*o**4
Let p(u) = -7*u**2 + 26*u - 21. Let j(i) = 87*i. What is p(j(r))?
-52983*r**2 + 2262*r - 21
Let d(m) = -84*m + 175*m - 90*m. Let i(v) = 0 + 30*v - 4 + 4. Give i(d(k)).
30*k
Let k(u) = 68*u + 30. Let h(t) = 109*t + 48. Let y(f) = 5*h(f) - 8*k(f). Let q(b) = 26*b**2 + 29*b**2 + 38*b**2. Determine y(q(m)).
93*m**2
Let h(r) = -11*r**2 - 2*r - 118. Let k(s) = 256*s. Calculate k(h(m)).
-2816*m**2 - 512*m - 30208
Let f(v) be the first derivative of -v**2/2 + 11198. Let t = 11 + 28. Let o(j) = -4*j**2 + 5*j**2 - t + 8. Give o(f(c)).
c**2 - 31
Let c(r) = 1485*r**2. Let w(d) be the second derivative of -d**3/3 - 4846*d. Give c(w(k)).
5940*k**2
Let l(j) = -191*j + 63*j + 125*j. Let g(u) = 51*u. Determine l(g(z)).
-153*z
Let x(b) = -3*b - 2*b + b + 5*b. Let u be (-477)/(-27) - (2 - 14/6). Let a(g) = 3*g**2 - u*g**2 + 6*g**2. Calculate x(a(n)).
-9*n**2
Let i(b) = 79*b**2 - 4*b + 1961. Let o(c) = c**2. Determine i(o(j)).
79*j**4 - 4*j**2 + 1961
Let l(k) = -k. Let f(b) = -262876174*b. Calculate l(f(z)).
262876174*z
Let u(r) be the third derivative of 3*r**4/2 - r**2. Let c(s) = 31766*s + 31774*s - 63538*s. Give u(c(y)).
72*y
Let q(a) = 16889246*a**2 - 337425*a - 67485. Let s(w) = 4505*w**2 - 90*w - 18. Let g(x) = 6*q(x) - 22495*s(x). Let l(r) = -2*r. Determine g(l(n)).
-17996*n**2
Let j(y) = 12*y. Let m(s) = -3053 + 1016 + 17*s + 1015 + 1024. Calculate m(j(o)).
204*o + 2
Let j(l) = -12*l**2 - 10*l + 35. Let x(g) = -7*g**2 - 6*g + 21. Let d(p) = -3*j(p) + 5*x(p). Let h(c) = -128*c**2. Determine h(d(s)).
-128*s**4
Let f(h) = 3*h. Suppose 4*j + 5*r + 576 = 2073, -5*r + 363 = j. Let q = -213 + j. Let z(l) = 81*l - q*l + 80*l. Determine z(f(o)).
-12*o
Let g(l) = 3*l - 15. Let z(o) = -16*o + 84. Let n(p) = 28*g(p) + 5*z(p). Let v(c) = -17*c**2 + 40 - 40. Calculate v(n(h)).
-272*h**2
Let w(c) be the second derivative of -c**4/12 - 83*c**3/2 + c**2 - 61*c - 10. Let d(k) = -2*k**2. What is w(d(b))?
-4*b**4 + 498*b**2 + 2
Let r(j) = -j - 4*j + 5*j - 4*j**2. Suppose -27 = -2*a + 45. Let h(v) = -34*v - a*v + 77*v. Give r(h(p)).
-196*p**2
Let s(z) = 245*z - 4. Let r(k) = 2576*k - 42. Let o(l) = -2*r(l) + 21*s(l). Let i(x) = -132*x. Let j(w) = w. Let c(q) = -i(q) - 165*j(q). Calculate o(c(u)).
231*u
Let m(q) = -1278*q. Let f(z) = 4415*z. Determine f(m(v)).
-5642370*v
Let y(r) = 13*r. Let u(q) = 3469*q + 118. Give u(y(n)).
45097*n + 118
Let m(i) be the third derivative of 0*i - 7 + 7/2*i**4 - 6*i**2 + 0*i**3. Let k(a) = -3*a. Determine m(k(u)).
-252*u
Let q(d) = d**2. Let u = 20736 + -20734. Let f(x) be the second derivative of 0*x**3 + 1/6*x**4 - 28*x + 0 - 5*x**u. What is f(q(r))?
2*r**4 - 10
Let x(n) = 21*n. Suppose -12*h = -23 - 25. Let c(l) = 4*l**2 - 7*l. Let q(d) = -d**2 + 2*d. Let t(k) = h*c(k) + 14*q(k). Determine x(t(o)).
42*o**2
Let q(g) = -2*g. Let v = 3427 - 2394. Let u(b) = 1 - 1 - 954*b + v*b - b**2.
|
{
"pile_set_name": "DM Mathematics"
}
|
ermine m, given that m**2 - 30535*m - 4849494 = 0.
-158, 30693
Factor 4*b**4 + 16*b**3 - 516*b**2 - 3024*b.
4*b*(b - 12)*(b + 7)*(b + 9)
Factor 2*x**2/5 + 9494*x/5 + 225700.
2*(x + 122)*(x + 4625)/5
Factor 5*b**2 - 508370*b + 95396840.
5*(b - 101486)*(b - 188)
Factor -2*i**3/7 - 202922*i**2/7 - 5145848014*i/7 + 66930322394/7.
-2*(i - 13)*(i + 50737)**2/7
Factor 5*z**2 + 1115000*z + 22298000.
5*(z + 20)*(z + 222980)
Find m, given that -m**5/6 - 35*m**4/6 - 71*m**3/6 + 4247*m**2/6 + 12*m - 702 = 0.
-26, -18, -1, 1, 9
Factor -4*n**5 - 9712*n**4 + 19440*n**3.
-4*n**3*(n - 2)*(n + 2430)
Let -21*s**5/8 - 5655*s**4/4 - 602475*s**3/4 + 10672125*s**2 - 1261678125*s/8 + 815859375/4 = 0. What is s?
-295, 10/7, 25
Factor -3*i**3/5 + 4374*i**2/5 + 69084*i + 6645288/5.
-3*(i - 1534)*(i + 38)**2/5
Solve -5*z**2 - 289990*z + 115620120 = 0.
-58394, 396
Let -14*y**5/13 + 2729554*y**4/13 - 3119460*y**3/13 - 2339620*y**2/13 + 3119474*y/13 - 389934/13 = 0. What is y?
-1, 1/7, 1, 194967
Factor -3*m**2 - 100050*m + 9330597.
-3*(m - 93)*(m + 33443)
Factor -r**5/5 - 1494*r**4/5 - 5605*r**3.
-r**3*(r + 19)*(r + 1475)/5
Factor m**5/2 + 1139*m**4/2 + 202807*m**3/2 + 9898197*m**2/2.
m**2*(m + 103)**2*(m + 933)/2
Find l such that -2*l**2/9 - 35266*l/3 - 3277816/9 = 0.
-52868, -31
Suppose 2*m**4/5 + 371206*m**3/5 - 4825936*m**2/5 + 14849208*m/5 - 13364352/5 = 0. Calculate m.
-185616, 2, 9
Suppose 4*y**4/5 + 144914824*y**3/5 + 289829636*y**2/5 + 144914816*y/5 = 0. Calculate y.
-36228704, -1, 0
Let 2*f**3/15 + 694*f**2/15 - 204820*f = 0. What is f?
-1425, 0, 1078
Factor 2*z**3/5 + 912*z**2/5 + 25074*z + 1084860.
2*(z + 105)**2*(z + 246)/5
Solve -b**4/7 - 5721*b**3/7 - 395895*b**2/7 - 1836575*b/7 = 0 for b.
-5651, -65, -5, 0
Determine t, given that -t**2 + 2793319*t - 30726388 = 0.
11, 2793308
Suppose 6*u**5/7 + 16150*u**4/7 + 10848724*u**3/7 - 25439436*u**2/7 - 25385562*u/7 + 10886454/7 = 0. Calculate u.
-1347, -1, 1/3, 3
Let -64*g**5 + 70386720*g**4 + 35193436*g**3 - 65987544*g**2 - 39592548*g = 0. What is g?
-3/4, 0, 1, 1099793
Find j such that 4*j**2/9 + 312416*j/3 - 4686340/9 = 0.
-234317, 5
Find c such that -2*c**4 - 75340*c**3 - 9012238*c**2 - 8936900*c = 0.
-37550, -119, -1, 0
Determine a so that a**3/7 + 1034244*a**2/7 + 4136963*a/7 + 3102720/7 = 0.
-1034240, -3, -1
Solve -2*z**3 - 34*z**2 + 201468*z = 0 for z.
-326, 0, 309
Find k such that -2*k**2/9 + 757808*k/9 + 5304754/9 = 0.
-7, 378911
Find m such that 5*m**3 + 810*m**2 - 39005*m + 281790 = 0.
-202, 9, 31
Factor -3*d**2 + 2921139*d - 37974300.
-3*(d - 973700)*(d - 13)
Determine a so that -a**3/2 + 344873*a**2/2 - 689743*a/2 + 344871/2 = 0.
1, 344871
Factor 3*g**3 + 17862*g**2 + 426885*g - 444750.
3*(g - 1)*(g + 25)*(g + 5930)
Factor 3*d**2 - 160738860*d + 2153081759508300.
3*(d - 26789810)**2
Solve -3531313*q**2 - 3531311*q + 2 = 0 for q.
-1, 2/3531313
Factor -3*l**3 - 15210*l**2 - 3284232*l.
-3*l*(l + 226)*(l + 4844)
Factor -3*l**2 + 5688816*l + 5688819.
-3*(l - 1896273)*(l + 1)
Determine u so that -533*u**2/3 + 2737*u/3 + 1090 = 0.
-1, 3270/533
Suppose 4*s**3/7 - 129496*s**2/7 - 4*s/7 + 129496/7 = 0. Calculate s.
-1, 1, 32374
Determine o so that 2*o**2/9 - 3430*o/9 - 94484/3 = 0.
-79, 1794
Determine i, given that -2*i**4/13 - 9150*i**3/13 - 11384478*i**2/13 - 2081969514*i/13 - 60620162184/13 = 0.
-2181, -177, -36
Find f, given that 32732*f**4 + 98188*f**3 - 294612*f**2 - 883692*f + 216 = 0.
-3, 2/8183, 3
Factor -2*j**2 + 2748*j + 774720.
-2*(j - 1614)*(j + 240)
Solve -2*o**3 - 218*o**2 + 149464*o - 1034880 = 0 for o.
-336, 7, 220
Factor 2*t**2/11 - 3593034*t/11 - 17965220/11.
2*(t - 1796522)*(t + 5)/11
Solve 4*f**5 + 76836*f**4 + 369177672*f**3 + 1843507184*f**2 - 2212761696*f = 0 for f.
-9602, -6, 0, 1
Let -5*f**2 - 15946735*f = 0. What is f?
-3189347, 0
Solve -2*a**2 + 19642020*a - 19642018 = 0 for a.
1, 9821009
Find d such that -23214*d**2/11 - 629448*d/
|
{
"pile_set_name": "DM Mathematics"
}
|
Simplify (s*s**(-2/5))/(((((((s/s**(10/17))/s)/s)/s)/s)/s)/s*s) assuming s is positive.
s**(441/85)
Simplify (j**(-3)*j/(j/(j/(j*j**(-2/17))*j)))/(j**0*j**(-2)) assuming j is positive.
j**(2/17)
Simplify (g/(g/(g*g**(-1)/g))*g)**49*(g**(-2/5))**8 assuming g is positive.
g**(-16/5)
Simplify h**(-2/25)*h**(12/7) assuming h is positive.
h**(286/175)
Simplify y**28/(y**18/y) assuming y is positive.
y**11
Simplify (z**(1/3)/z)**(-14/5)/(z/z**(-1/5)*z*((z**(2/9)/z)/z)/z) assuming z is positive.
z**(22/9)
Simplify j**(-2/11)/j**(-17) assuming j is positive.
j**(185/11)
Simplify a**(-1/3)*a**(-1)/a*(a/((a**(2/7)/a)/a))**46 assuming a is positive.
a**(2573/21)
Simplify (k**0)**(25/4) assuming k is positive.
1
Simplify (b*b/(b/(b**(-2)/b))*b)**(6/23)*((b/b**(-1))/b)/b**(-5) assuming b is positive.
b**(132/23)
Simplify (c**0/c)**(-46)*(c*c**(-6))/c*c**(-7)/c*c assuming c is positive.
c**33
Simplify v**4*(((v*v/(v*v**(-2/13)))/v)/v)/v*v assuming v is positive.
v**(41/13)
Simplify b**(2/3)*b*b*b*b/(b*b**2)*b*(b/b**(-1))**(5/6) assuming b is positive.
b**(13/3)
Simplify ((w/w**(-5/7))/w*w*w**2)/(w**(-8)/w**(1/7)) assuming w is positive.
w**(83/7)
Simplify (u**(-1/3)*u)**(-26)*u**4/u**5 assuming u is positive.
u**(-55/3)
Simplify ((u*u**0/u)**(-36))**24 assuming u is positive.
1
Simplify ((q/(q*q**(-1/4)*q))**(3/8))**1 assuming q is positive.
q**(-9/32)
Simplify t**(-5/8)*t*t**17 assuming t is positive.
t**(139/8)
Simplify ((r/r**(-2/7))**2)**(8/3) assuming r is positive.
r**(48/7)
Simplify k**(-43)/k**38 assuming k is positive.
k**(-81)
Simplify (o*o*o*o/o**(-1/3)*o)**(10/19)/(o**(3/2))**(2/53) assuming o is positive.
o**(8309/3021)
Simplify c**4/(c*c**(3/4)*c)*c*((c/(c/c**(-2)))/c)/c*c**(2/7) assuming c is positive.
c**(-41/28)
Simplify ((w/(w/(w/w**(2/9))))/(w/(w**0*w)))/(w/(w*w**(-2/9)*w)*w/((w*w**0)/w)) assuming w is positive.
w**(5/9)
Simplify a**14*a/((a**(-2/51)*a)/a) assuming a is positive.
a**(767/51)
Simplify m*m**(-3/5)*m*m*m*m*m/(m**(-1/5)*m)*(m*m**(-1))**12 assuming m is positive.
m**(23/5)
Simplify (c**47)**(2/15) assuming c is positive.
c**(94/15)
Simplify q/q**(2/11)*q*q*q/(q**10*q) assuming q is positive.
q**(-79/11)
Simplify (f*f/((f**(-26)/f)/f*f))/f*f**(-32)*f*f assuming f is positive.
f**(-2)
Simplify ((a*a/(a**(1/6)*a))**(-8))**33 assuming a is positive.
a**(-220)
Simplify (r**1)**28/((r**(2/13)/r)/r**(-2/3)) assuming r is positive.
r**(1099/39)
Simplify (u**5)**34 assuming u is positive.
u**170
Simplify w*w**1*w*w/(w*w*w**8)*(w/(w*w/(w*w**(-2))*w)*w*w*w)**(-5/7) assuming w is positive.
w**(-6)
Simplify k**(-2/15)*k/k**15 assuming k is positive.
k**(-212/15)
Simplify (d/(d/(d*d/(d/d**(-14)))))/d**1 assuming d is positive.
d**(-14)
Simplify ((z*z/(z/(z/(z**0/z))))/z**4)**(3/26) assuming z is positive.
z**(-3/26)
Simplify ((i*i/i**(-3/8))/(i/i**15*i))**(-15) assuming i is positive.
i**(-1845/8)
Simplify a/(a*a/(a/((a/(a/(a/(a*a/a**(-37))))*a)/a))*a*a*a)*a**(1/15) assuming a is positive.
a**(526/15)
Simplify (h*h**12)/h*h*h*(h/h**(-2))/h assuming h is positive.
h**16
Simplify y*y**17*y/((y/((y*y*y**(-13))/y)*y)/y)*y assuming y is positive.
y**7
Simplify (y**7*y**9)/((y*y/(y/y**(2/5)))/y*y**(-8)) assuming y is positive.
y**(118/5)
Simplify ((z**7)**(-3))**(-6) assuming z is positive.
z**126
Simplify (t**(-3/5)/(t/(t**(-2/7)*t)*t))**10 assuming t is positive.
t**(-132/7)
Simplify f/(f/f**(1/17))*f*f**22 assuming f is positive.
f**(392/17)
Simplify (k*k/(k*k**(-7))*k*k/(k/k**(4/9))*k*k)/(k**(2/7))**11 assuming k is positive.
k**(523/63)
Simplify d**(4/3)/(d/(d**(-1/7)*d)) assuming d is positive.
d**(25/21)
Simplify ((t*((t/(t*t/(t/t**4)))/t)/t)/t*t*t/((t*(t*t**(3/2))/t)/t))**47 assuming t is positive.
t**(-517/2)
Simplify j**(4/7)*j*j**(-9)*j*j*j*j**0*j/j**(-1/4) assuming j is positive.
j**(-89/28)
Simplify (y/y**(4/9)*y/y**(-1))/(y*y**(1/3))**(-1/13) assuming y is positive.
y**(311/117)
Simplify ((s**(1/11)/s*s)/s**(-4))**(1/41) assuming s is positive.
s**(45/451)
Simplify (k*k**(-3/7))/((k*k**(-6))/k)*(k**2/k*k*k)/k**(-3/2) assuming k is positive.
k**(155/14)
Simplify ((p*(p/p**(-2))/p)/p**(3/8))/(p/(p*p*p/p**(5/7)*p*p)*p/p**4) assuming p is positive.
p**(499/56)
Simplify ((l*l**(-7))/l*l)/((((l/l**(-13/2))/l*l*l)/l)/l*l) assuming l is positive.
l**(-27/2)
Simplify (h*h**(1/2))**0/(((h/(h**(2/5)/h))/h)/(h*h**(-1/8))) assuming h is positive.
h**(11/40)
Simplify (m**(-3/2)/(m/(m*m**(2/13))))/(m**2/(m*(m/(m*m*(m**(-3)*m)/m))/m)) assuming m is positive.
m**(-35/26)
Simplify (x/(x/(x/x**(-2))*x)*x*x**(3/5)*x)/(x**(3/5)/x**(1/10)) assuming x is positive.
|
{
"pile_set_name": "DM Mathematics"
}
|
econd derivative of 3823*j**7/42 + 11*j**4/12 + 59*j**2 + 152*j - 10. Find the third derivative of f(y) wrt y.
229380*y**2
Suppose 4*u - 1 = 7. Suppose 631 - u = 17*s. What is the derivative of -21 - 15 - 16 - 6*c**3 + s wrt c?
-18*c**2
Let z(o) be the first derivative of -2/3*o**3 + 0*o**2 + 49*o + 7/4*o**4 - 48. Differentiate z(t) with respect to t.
21*t**2 - 4*t
Let x(r) be the third derivative of 223*r**4/6 + 791*r**3/3 - 2*r**2 - 95. What is the derivative of x(g) wrt g?
892
Let h(k) be the third derivative of -k**5/5 - 13*k**4/24 - 53*k**3/2 + 1529*k**2. What is the derivative of h(l) wrt l?
-24*l - 13
Let b(j) = -j**3 + j**2 + 1. Let t be b(0). Suppose -4*o = 4*f - 28, 3*o - 7*f = -3*f - 7. Differentiate t - 14 - 2*x**3 + 2*x**o + x**4 with respect to x.
4*x**3
Let b(q) be the second derivative of -376*q**4/3 - 55*q**2/2 - 1318*q. What is the first derivative of b(y) wrt y?
-3008*y
Let l(v) be the first derivative of -78 + 0*v**2 + 110*v - 38/3*v**3. What is the first derivative of l(t) wrt t?
-76*t
Find the first derivative of 11859*o**2 + 67 - 189*o**4 - 23730*o**2 + 11879*o**2 + 270 wrt o.
-756*o**3 + 16*o
Let w(v) = -v**3 - v + 1. Let c(l) = -139*l**3 + 62*l - 1. Suppose 8 - 1 = 7*z. Let a(f) = z*w(f) + c(f). Find the second derivative of a(y) wrt y.
-840*y
Let h(o) be the first derivative of -27/2*o**2 - 12*o**3 + 50 + 0*o. Find the second derivative of h(f) wrt f.
-72
Let n(i) = 13*i**2 - 12*i + 68. Let l(q) = -1 + 2*q**2 + 0 + 22*q - 24*q. Let w(s) = -3*l(s) + n(s). What is the derivative of w(g) wrt g?
14*g - 6
Differentiate -2438 + 1984*n + 7728*n - 6110*n + 3171*n - 1146 with respect to n.
6773
Let u = 125 + -122. Find the second derivative of 84*f**3 - 171*f**3 + 36 + 4*f - u*f + f - 3 wrt f.
-522*f
Let r(o) = -225*o**3 + 24*o**2 + 8*o - 642. Let u(i) = 673*i**3 - 66*i**2 - 22*i + 1926. Let t(j) = 11*r(j) + 4*u(j). What is the derivative of t(f) wrt f?
651*f**2
Let t(w) = w**3 - w + 48. Let m be t(0). Suppose -4*g + 3*k = -m, 4*k - 4 = -2*g - 2. Differentiate -a**4 + 2 + g*a**4 + 10 + a**4 wrt a.
36*a**3
Suppose 6*r - 1761 = -1743. Let s = 0 - -3. What is the second derivative of 82*f - 114*f + 0*f**r + 26*f**s wrt f?
156*f
Find the second derivative of 1789*p + 4*p**3 - 220*p**4 + 7765*p + 4*p**3 - p**3 wrt p.
-2640*p**2 + 42*p
Suppose 0*b = z - 5*b + 54, 2*z + 5*b + 168 = 0. Let j = 78 + z. What is the first derivative of 4*v**4 - 8*v**4 + v**4 - 23 - 2*v**j wrt v?
-20*v**3
Let a(v) be the first derivative of 0*v**4 + 0*v**2 - 21/5*v**5 + 32*v - 72 + 0*v**3. Differentiate a(d) wrt d.
-84*d**3
Let d(t) be the first derivative of -23*t**4/24 + 97*t**3/6 + 128*t**2 + 183. Let p(f) be the second derivative of d(f). What is the derivative of p(q) wrt q?
-23
Let i = 21645 - 21643. Let l(s) be the third derivative of 0*s**3 + 0*s + 0 + 0*s**4 + 1/2*s**5 + s**i - 1/5*s**6. Find the third derivative of l(j) wrt j.
-144
Let r = -5 + 25. Find the third derivative of -14 - h**2 + r*h**4 + 0*h**2 + 17 wrt h.
480*h
Let j be (-25)/(-10)*4/5. Suppose -11 = 3*v - 4*y, 2*y - 23 = -v - j*y. What is the second derivative of -7*d**v + 10*d**3 + 30*d**3 + 32*d + d**3 wrt d?
204*d
Let u(h) be the third derivative of 379*h**5/15 + 53*h**4/24 - h**3/3 - 737*h**2. Find the second derivative of u(w) wrt w.
3032
Let z(w) be the second derivative of -w**4/2 - 143*w**3/6 - 847*w**2 - w + 160. What is the first derivative of z(g) wrt g?
-12*g - 143
Suppose 49*t = 115 + 81. Differentiate 101 + 85*b**4 + 23 + 117*b**t with respect to b.
808*b**3
Let p(u) = -1048*u**2 + 10*u + 2511. Let s(h) = 2093*h**2 - 23*h - 5021. Let w(i) = 9*p(i) + 4*s(i). What is the first derivative of w(n) wrt n?
-2120*n - 2
Let d = -246 - -427. Differentiate 16 - 375*f**2 + 262*f**2 + d*f**2 wrt f.
136*f
What is the second derivative of 692*p - 7999 + 482*p**2 + 194*p**2 + 495*p**2 + 15991 - 7993 wrt p?
2342
Suppose 18 = -2*g - 4*c, -4*c = g + 5 + 12. Let j be 4/(-4) + g + 5. What is the second derivative of 57*r**j + 47*r + 56*r**3 - 206*r**3 + 59*r**3 wrt r?
-204*r
Let p be 63/13 - -2*1/13. Let l(r) be the second derivative of 0 - 3/4*r**4 + 0*r**3 + 0*r**2 + 1/20*r**p - 9*r. What is the third derivative of l(d) wrt d?
6
Let s(k) be the third derivative of -27/40*k**6 - 63 + 0*k + 0*k**3 + k**2 - 1/3*k**4 - 2/15*k**5. What is the third derivative of s(q) wrt q?
-486
Differentiate 21 - 62*f**3 - 40 + 130 + 698*f**3 with respect to f.
1908*f**2
Let t(u) = 2*u**2 + u - 2. Let h be t(-2). Let p = -425 + 428. What is the second
|
{
"pile_set_name": "DM Mathematics"
}
|
0))*4))).
sqrt(5)/48
Simplify -6*-3*((3*sqrt(320) + sqrt(320) + 2)*-6 + 5*(1 + -5 + sqrt(320) - sqrt(320))**2).
-3456*sqrt(5) + 1224
Simplify (5*(sqrt(7) + 0) + -6*(-4 + sqrt(7)) + 5*(sqrt(693)*-2)/sqrt(11))**2.
-1488*sqrt(7) + 7303
Simplify (2*-5*(-2*sqrt(4536) - sqrt(4536) - sqrt(4536)))/((sqrt(200)*-2 + sqrt(200) + sqrt(200) - sqrt(200)) + sqrt(200) - sqrt(8)*-1*-2).
-180*sqrt(7)
Simplify (sqrt(972)*-1)/(-2*sqrt(900)) + (sqrt(45)/(-1*sqrt(5) - sqrt(5)))/(-1*(sqrt(3) + 2*sqrt(3))).
7*sqrt(3)/15
Simplify ((-4 + (sqrt(288) + 3 - sqrt(288)))**2 - sqrt(288) - sqrt(24)/(3*sqrt(300) - sqrt(12)))*4*-3.
-12 + 1014*sqrt(2)/7
Simplify (sqrt(208)/((sqrt(8) - sqrt(128))*-4)*2)/((sqrt(18)/sqrt(3))/sqrt(3)*6*3).
sqrt(13)/108
Simplify -4 + (-3 + sqrt(468) + (sqrt(468) + -1)*-6 + (-3 + -1 + sqrt(468) - (sqrt(468) + -4 + (sqrt(468) + 1 - sqrt(468)) + sqrt(468))))**2.
-144*sqrt(13) + 16848
Simplify (sqrt(1250)*-4*-2)/(sqrt(90)*-2 - 1*sqrt(160)).
-4*sqrt(5)
Simplify 1 + (sqrt(80)*2 + sqrt(80) - -4*sqrt(40)/sqrt(2))/(sqrt(90)/(sqrt(18)/(sqrt(4)/sqrt(2)))).
1 + 10*sqrt(2)
Simplify (1*((-4 + sqrt(200) + (4*-3*sqrt(200) - sqrt(200)))*2 + -1 + 1))**2.
3840*sqrt(2) + 115264
Simplify (-3*((sqrt(77) - (sqrt(77) + (sqrt(77)*5 - sqrt(77)))) + sqrt(77))*5)/(1*(sqrt(1331) + sqrt(1331)*2)).
15*sqrt(7)/11
Simplify (sqrt(36)/(sqrt(12) + sqrt(60)/sqrt(5)*-5))**2 + 4 + ((0 + sqrt(108))*-1 - (sqrt(108) - 3*sqrt(108)*2))**2.
27715/16
Simplify ((sqrt(51) - (sqrt(6171) - (4*sqrt(6171) + sqrt(6171))))*-2)/(-3*sqrt(363)*-4 + sqrt(363) + sqrt(363)) + -2.
-45*sqrt(17)/77 - 2
Simplify ((-5*sqrt(396))**2*1 + -5 - (sqrt(275) + 5 + sqrt(99)/(-4*sqrt(9)))) + -5.
-19*sqrt(11)/4 + 9885
Simplify (-2 + (sqrt(1900) + 2 + sqrt(1900))*-6 + 2 - 3*((6*(0 + sqrt(475)) - sqrt(475)) + sqrt(475) - -1*(sqrt(475) - (-1 + sqrt(475)))))**2.
6300*sqrt(19) + 838125
Simplify -1 + (sqrt(297)/(sqrt(36)*1)*3)/((sqrt(30) - (sqrt(180)*1 + sqrt(180))/sqrt(6))/sqrt(10)*-2).
-1 + 3*sqrt(11)/4
Simplify 3*((sqrt(125) + ((-6*sqrt(125)*-2 - sqrt(125)) + sqrt(125) - sqrt(125)))**2 - (sqrt(125) + 1 + sqrt(125))**2*4 - (-1 + -3*sqrt(125)*-3)).
-375*sqrt(5) + 47991
Simplify (sqrt(912)*2*4 + -6*sqrt(57)*-1*6)/(-4*(2*(-2*sqrt(363) - sqrt(363)) + sqrt(363) - sqrt(363))*-5).
-17*sqrt(19)/330
Simplify (6*((3 + (sqrt(448) - (sqrt(448) + 1)) - sqrt(448)) + sqrt(448)) + -4 - 1*(sqrt(175) - 1*sqrt(175)*3)*-5)**2.
-800*sqrt(7) + 17564
Simplify (-1 + sqrt(80)*1 + 4 + -6*(-1 + sqrt(80))*-6 + 4)**2 + 0.
-8584*sqrt(5) + 110361
Simplify 0 + (-2*(4 + (-2 + sqrt(405) + -1 - 2*(sqrt(405) + -1)) + -2)*6)**2.
-2592*sqrt(5) + 58464
Simplify -5*((-3*(sqrt(396) + 0))**2*5 + -4*-5*(sqrt(55)/(sqrt(20)/sqrt(4)))**2).
-90200
Simplify 5 + 1 + ((-1 + sqrt(1216) + sqrt(1216))*3 + sqrt(1216) + 3 + 2)**2.
224*sqrt(19) + 59594
Simplify ((sqrt(38) + 1*sqrt(38)*-1)*-5*-4)/((-2*sqrt(648))/(sqrt(100) + sqrt(100)*2 + sqrt(100))).
0
Simplify (2 + (6*(-4 + -3 + sqrt(343)) + 4)*-6 + -5)**2*-3.
-1485459 + 340200*sqrt(7)
Simplify (-5*sqrt(9)*2 - (sqrt(9) - sqrt(81)/(sqrt(90)/sqrt(10))))/((sqrt(147) - (sqrt(147)*-1 - sqrt(147)))*-5*-4).
-sqrt(3)/42
Simplify ((-1*sqrt(700) - sqrt(280)/(sqrt(50)/sqrt(5) + sqrt(10))) + -2*(2 + -3*sqrt(28) + 4))**2.
-24*sqrt(7) + 151
Simplify (sqrt(63) + 1*sqrt(63))/sqrt(9) + (sqrt(252))**2 + sqrt(28) - (-1*sqrt(2268))**2 - (-4 + 4 + -3*sqrt(7) + -3 + sqrt(7) + sqrt(56)/sqrt(8)).
-2013 + 5*sqrt(7)
Simplify (-3*((sqrt(300) + (sqrt(300) + 0 - sqrt(300)))*4*4 + -3)*-5)**2*6.
-1296000*sqrt(3) + 103692150
Simplify ((sqrt(10) - -5*sqrt(40))/(sqrt(245)*-4))**2 + ((sqrt(36)/(sqrt(18)/sqrt(2)))/(sqrt(242)*-2))**2*-6.
13465/47432
Simplify -6*(5 + (-6*(sqrt(1331) - 4*(0 + sqrt(1331) + sqrt(1331))) - (-3 + (sqrt(1331) - (sqrt(1331) + -1 + sqrt(1331) + sqrt(1331)*-2 + sqrt(1331)))))**2).
-14087358 - 11088*sqrt(11)
Simplify -3 + (-4*sqrt(1275)*-5)/(sqrt(48) + 3*sqrt(48) + sqrt(48) + -1*sqrt(9)/sqrt(3)).
-3 + 100*sqrt(17)/19
Simplify ((5*5*(sqrt(405) + -2) + -6*(sqrt(405) + -1) + (sqrt(405) - (sqrt(405) + 1 + sqrt(405) + 1) - sqrt(405)))*-2 + 2)**2.
-57528*sqrt(5) + 477016
Simplify (5*3*sqrt(66) + (-1*sqrt(66) + sqrt(66) + sqrt(66))*5)/(6*-2*sqrt(600) - (sqrt(600)*-2 + sqrt(600))*-6).
-sqrt(11)/9
Simplify (2*(5 + 1 + 3 + (-1 + sqrt(272))*-1 + (1 + sqrt(272) + -3 - sqrt(272))))**2.
-256*sqrt(17) + 1344
Simplify ((-2*sqrt(500) - (-3*sqrt(5) + 4)) + 4*(-3*sqrt(320) + sqrt(320)) + 4)**2.
32805
Simplify (-1 + ((sqrt(684)*-3 + sqrt(684))*2 + -2 + (sqrt(684) - (sqrt(684
|
{
"pile_set_name": "DM Mathematics"
}
|
, a, 5, 0?
0
Let m = 104035 - 935147/9. Let d = -130 + m. Let c = -522 - -521.5. What is the second biggest value in d, c, 3?
d
Let q(j) = -j**3 + 4*j**2 + 5*j - 5. Let v be q(5). Let s = -15.97 + 17.97. What is the biggest value in s, v, 2/25?
s
Suppose 5*m - 15 = 0, -5*s + 3*m - 2*m - 3 = 0. Let j = -165 - -165.2. Which is the second smallest value? (a) j (b) s (c) 1
a
Let g = 185 + -185.5. Which is the third smallest value? (a) g (b) -4 (c) 1/15 (d) 1
c
Let f = 1.3 + -1.28. Let o = f + -0.1. Let y = -0.12 + o. Which is the third smallest value? (a) 5 (b) y (c) -4
a
Let y(d) = d**2 - 5*d - 10. Let m be y(6). Which is the smallest value? (a) m (b) 2 (c) 7
a
Let t = 15.1411 + -0.0511. Let n = -15 + t. Let s = n - -0.21. Which is the second biggest value? (a) -0.1 (b) s (c) 2/13
c
Let b = -4.98 - 0.02. Let c = -129 + 128. Let i = -1 + 0.9. What is the second smallest value in c, i, b?
c
Let f = 82 + -81.5. What is the third smallest value in 0, 6/7, f?
6/7
Let t be ((-36)/9)/20*(-20)/12. Which is the third biggest value? (a) 2 (b) -1/16 (c) t (d) 1/4
d
Let a = -3/1996 + -250489/5988. Let i = a - -71/2. Let h = 7 + i. What is the third biggest value in h, 0.3, 0.2?
0.2
Let t = -14 + 29/2. Let s = -26 + 26.4. Which is the smallest value? (a) s (b) 0.2 (c) t
b
Let s = -0.18 + -0.02. Let t be 4/34 + 201/(-408). Let b = -0.3 - -0.6. What is the smallest value in t, b, s?
t
Let p = 4 - -86. Let b be (-4)/(-10) - 171/p. What is the smallest value in 1, b, -2/15, 0.2?
b
Let o be (6/24)/(9/(-12)). Let s be (3/(-42))/((-2)/(-8)). What is the biggest value in o, -28, s?
s
Suppose 0 = y - 2*n - 2, 4*n + 10 = 5*y + 6*n. What is the smallest value in 3, y, -4?
-4
Let p be 6/(-9) + 8/(-54)*-3. Let l = -163 - -493/3. Let j = -0.03 + 1.03. What is the biggest value in p, j, l?
l
Let f = 168.9 + -169. Which is the fourth biggest value? (a) -0.3 (b) 6 (c) -3 (d) f
c
Let a = -0.11937 - 6.88063. Let z = -7 - -4. What is the biggest value in 4, z, -5, a?
4
Suppose 4*v = -4*w + 12, 5*w + v + 20 = 3*v. Let x be 7/(441/(-12))*(-3)/w. Which is the third biggest value? (a) 1 (b) x (c) -3
c
Suppose -3*f = -4*j + 1, -5 = 5*f + 2*j + 14. Which is the third biggest value? (a) f (b) -0.1 (c) 6
a
Let n = -1270.2 - -1270. What is the third smallest value in n, -2/9, -3/4, 191?
n
Let y = 579 + -2321/4. What is the third biggest value in y, 0.04, 1/3?
y
Let l(z) = 5*z + 7. Let r be l(12). Let h = -135/2 + r. Which is the third smallest value? (a) h (b) 2/5 (c) 3 (d) 5
c
Let p = 6 - 3. Which is the smallest value? (a) -5/4 (b) 4 (c) 0 (d) p
a
Let h = 853 - 853. Which is the second biggest value? (a) -2/5 (b) h (c) -9.4
a
Let u be (-1 - -9) + (-1098)/135. Let s = -12 + 17. Suppose -k - 14 = -4*z, -4*z - k + 22 = 4. Which is the smallest value? (a) s (b) z (c) u
c
Let o = 127 - 509/4. Which is the second biggest value? (a) o (b) 2/3 (c) -1/8
c
Let a be ((-8)/10)/(-9 - (-23)/5). What is the smallest value in -0.2, 0.6, a, -0.3?
-0.3
Suppose 0 = -37*j - 11*j + 48. What is the third smallest value in j, -34, 0.4, -1?
0.4
Suppose -16*x + 14*x - 20 = -4*n, 2*x = 0. Let h be (-1)/(-2 - 2*4). Which is the fourth smallest value? (a) 1/15 (b) 2/17 (c) n (d) h
c
Let l be 0/(-8) + (-1 - (-727)/5). Let i = l - 145. Which is the biggest value? (a) 3 (b) i (c) -2
a
Let n = 0.3 - 0.1. Let p = -49706621/68592540 + -4/217065. Let t = -2/79 + p. Which is the second smallest value? (a) 2 (b) n (c) t
b
Let p(l) = l - 3. Let g be p(1). Let v be (-2*(-2)/(-24))/(1/g). Let n be ((-12)/165)/(2/5). Which is the second smallest value? (a) v (b) 1/9 (c) n
b
Let j(b) = 229*b - 2290. Let g be j(10). Let l = -2 - -1. What is the third smallest value in g, l, -0.5?
g
Let p = -23/15 + 11/15. Let j be (-4 + 2)/(1 + 1). Which is the smallest value? (a) 0 (b) -0.4 (c) j (d) p
c
Let z = -11 + 9. Let g = -5 + 9. Which is the third smallest value? (a) 0.4 (b) g (c) z
b
Suppose 31*d + 33 = 188. Suppose 0 = -5*f - 5, -4*f + 1 = -2*w - 1. Let p = 2 - 7. What is the smallest value in d, p, w?
p
Let d = 198.5 + -198. Which is the second smallest value? (a) d (b) -21 (c) -0.5
c
Let p = -14 + 18. Let q = p - 2. What is the third smallest value in -3/2, q, -6?
q
Let c = 2 - 2.01. What is the second biggest value in 0, c, -0.2, -1?
c
Let k = 0.63 + -0.53. What is the smallest value in -48, 3, 0.3, k?
-48
Let g = -3 - 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
nd 10087.
131
What is the highest common factor of 3840922 and 894?
298
What is the highest common factor of 23 and 8303?
23
Calculate the highest common divisor of 390 and 156.
78
What is the greatest common divisor of 30743 and 2272?
71
What is the greatest common factor of 130143 and 182?
13
Calculate the greatest common factor of 3102 and 1254.
66
What is the greatest common divisor of 69 and 7316277?
69
What is the highest common divisor of 88 and 305668?
44
Calculate the highest common factor of 726912 and 24.
24
Calculate the highest common divisor of 932 and 556.
4
What is the greatest common factor of 174 and 1484829?
87
Calculate the greatest common factor of 9912 and 340784.
472
What is the greatest common divisor of 145 and 140795?
145
What is the greatest common factor of 751821 and 21?
21
What is the greatest common factor of 76 and 3660?
4
What is the highest common divisor of 912 and 1083?
57
Calculate the highest common divisor of 1938 and 2550.
102
Calculate the highest common factor of 2268 and 149364.
324
Calculate the highest common factor of 22 and 1092817.
11
What is the greatest common divisor of 51 and 67863?
3
Calculate the greatest common factor of 2835 and 55485.
405
Calculate the greatest common factor of 820560 and 286.
26
Calculate the greatest common divisor of 1136 and 546558.
142
Calculate the highest common factor of 4710 and 670.
10
What is the greatest common divisor of 1406854 and 699?
233
What is the highest common divisor of 950156 and 406?
58
Calculate the highest common divisor of 26419 and 1073.
29
What is the highest common divisor of 112574 and 12642?
602
Calculate the greatest common factor of 1719 and 598594.
191
Calculate the greatest common divisor of 19200 and 9400.
200
What is the greatest common divisor of 126 and 12404?
14
Calculate the greatest common factor of 2124 and 4968.
36
Calculate the highest common divisor of 3749 and 92.
23
What is the greatest common factor of 231 and 2849?
77
What is the greatest common factor of 62 and 765173?
31
What is the greatest common factor of 728327 and 95?
19
Calculate the highest common factor of 1166989 and 58.
29
Calculate the highest common factor of 1819896 and 38.
38
Calculate the highest common divisor of 412060 and 495.
55
What is the greatest common factor of 1518 and 9790?
22
What is the highest common factor of 336 and 9051?
21
Calculate the greatest common factor of 48737 and 2944.
23
What is the highest common factor of 1290 and 830?
10
What is the greatest common divisor of 3728 and 3275980?
932
What is the greatest common divisor of 21455 and 26215?
35
What is the greatest common factor of 165 and 474540?
165
What is the greatest common divisor of 258 and 1606308?
258
What is the highest common factor of 23275 and 38?
19
Calculate the highest common factor of 20 and 69940.
20
What is the highest common factor of 74800 and 1166?
22
Calculate the highest common factor of 4324 and 5405.
1081
What is the greatest common factor of 1377 and 61727?
17
Calculate the greatest common factor of 2033 and 589.
19
What is the greatest common factor of 156013 and 4364?
1091
What is the highest common factor of 165223 and 85?
17
Calculate the highest common factor of 987846 and 2147.
113
Calculate the greatest common factor of 101787 and 518.
259
Calculate the greatest common divisor of 656 and 2.
2
What is the highest common factor of 37629 and 888?
111
Calculate the greatest common factor of 156951 and 405.
27
Calculate the highest common factor of 43593 and 165.
33
Calculate the greatest common factor of 3979975 and 25.
25
Calculate the highest common divisor of 558 and 159606.
18
Calculate the highest common factor of 158 and 67387.
79
What is the greatest common factor of 23 and 1418801?
23
What is the highest common divisor of 81627 and 138?
69
What is the highest common factor of 26845 and 280?
35
Calculate the greatest common factor of 912 and 18.
6
What is the highest common divisor of 10170 and 360?
90
What is the highest common factor of 32581 and 131375?
1051
What is the greatest common factor of 4598 and 132297?
209
Calculate the highest common divisor of 176810 and 10.
10
What is the greatest common divisor of 126 and 110061?
63
What is the highest common factor of 326710 and 170?
10
What is the greatest common factor of 413 and 187103?
7
What is the highest common factor of 96524 and 8732?
236
Calculate the greatest common factor of 254 and 59182.
254
Calculate the greatest common divisor of 134 and 39.
1
What is the greatest common factor of 1105 and 48815?
65
What is the greatest common divisor of 231 and 11354?
7
What is the greatest common divisor of 612 and 206754?
102
What is the greatest common divisor of 512 and 3904?
64
Calculate the greatest common divisor of 300 and 21990.
30
What is the greatest common divisor of 196 and 655312?
28
What is the greatest common divisor of 7383 and 529?
23
What is the greatest common factor of 219 and 262070?
73
What is the highest common divisor of 364 and 109648?
28
Calculate the greatest common divisor of 480 and 120.
120
Calculate the highest common divisor of 17445 and 1.
1
What is the highest common divisor of 225 and 49475?
25
Calculate the highest common divisor of 77 and 1337721.
77
What is the greatest common divisor of 44 and 163614?
22
What is the greatest common divisor of 500 and 6220?
20
Calculate the highest common divisor of 51019 and 2608.
163
What is the highest common factor of 879373 and 11?
11
What is the greatest common factor of 1212 and 672?
12
What is the greatest common factor of 40 and 415490?
10
Calculate the greatest common divisor of 2 and 302782.
2
What is the greatest common divisor of 5 and 521380?
5
Calculate the highest common factor of 691476 and 1044.
348
Calculate the greatest common divisor of 10 and 232475.
5
What is the greatest common divisor of 43788 and 5412?
492
What is the highest common factor of 3462 and 987824?
1154
Calculate the highest common factor of 858 and 5538.
78
What is the highest common divisor of 52 and 276445?
13
Calculate the greatest common factor of 144774 and 20034.
378
Calculate the greatest common factor of 42 and 11851707.
21
What is the greatest common factor of 400 and 49480?
40
Calculate the highest common divisor of 653581 and 5873.
839
Calculate the greatest common factor of 35 and 94955.
35
Calculate the highest common divisor of 417609 and 81.
27
Calculate the highest common divisor of 1033 and 63013.
1033
Calculate the greatest common divisor of 594301 and 7657.
589
What is the greatest common factor of 1921908 and 180?
12
Calculate the greatest common divisor of 62 and 8545832.
62
Calculate the highest common divisor of 115431 and 9.
3
Calculate the greatest common factor of 6737152 and 256.
256
What is the highest common factor of 35981 and 132?
11
Calculate the greatest common divisor of 2378 and 522.
58
What is the greatest common divisor of 4506432 and 12?
12
Calculate the highest common factor of 93114 and 1638.
126
Calculate the greatest common divisor of 770 and 1447710.
110
What is the greatest common factor of 50 and 899425?
25
Calculate the greatest common divisor of 22842 and 186.
6
Calculate the highest common divisor of 70029 and 6324.
93
What is the highest common factor of 64206 and 34278?
174
Calculate the highest common divisor of 690 and 1470.
30
Calculate the greatest common divisor of 20700 and 12820.
20
What is the greatest common divisor of 1841607 and 36?
9
Calculate the greatest common factor of 66 and 48114.
66
Calculate the highest common factor of 640 and 3575360.
320
Calculate the highest common factor of 7548 and 60.
12
What is the greatest common divisor of 511218 and 54?
54
Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose 0 = 4*a + s - 10, -a - 2*a = 4*s - r. Calculate the remainder when (10/(-15))/(a/(-393)) is divided by 33.
32
Let d = 71 + -69. Suppose f - d = 25. Calculate the remainder when f is divided by 19.
8
Let q = -12 - -14. Let g(l) = l**2 - 5*l + 5. Let u be g(7). Suppose -2*p + u = -3*k, p - 2*k - 2 = -3*k. Calculate the remainder when p is divided by q.
1
Suppose -6*y = 5*y - 44. Suppose -y*d - 32 = -4*j, -d + 4 = 2*j - 12. What is the remainder when 20 is divided by j?
4
Suppose -2*s = -0*o + 2*o - 46, 2*s - 84 = -4*o. Let t = -141 - -152. Calculate the remainder when o is divided by t.
8
Suppose 0 - 15 = -5*x. Let d be ((-9)/2)/(x/(-6)). Calculate the remainder when (-2)/d + 573/27 is divided by 8.
5
Suppose 5*k + 365 = 5*s, -329 + 19 = -4*s - 5*k. What is the remainder when 91 is divided by s?
16
Let x be 0*((-30)/(-9) - 3). Suppose -f + 0*f + 129 = x. Calculate the remainder when f is divided by 33.
30
Let y(g) be the first derivative of -8*g**2 - 2*g + 14. Calculate the remainder when y(-8) is divided by 32.
30
Suppose 0 = v, -6*w + 3*w + v = -33. Suppose -b - 2*u - 3 = w, 5*u = -b - 11. Let c = b + 27. What is the remainder when 41 is divided by c?
8
Let n(w) = w**3 + 9*w**2 - 17*w + 6. What is the remainder when n(-7) is divided by 32?
31
Suppose -4*n + 2*i = -346, -2*n - 3*i + 96 = -89. Let h = -1 + 6. Calculate the remainder when n is divided by h.
3
Calculate the remainder when 44 is divided by ((-3)/4)/(3 + (-26)/8).
2
Calculate the remainder when 46 is divided by (-66)/(-72)*3*(2 - -2).
2
Let a(i) = 2*i + 3 - 1 - i. Let z = -13 + 19. What is the remainder when a(z) is divided by 3?
2
Suppose l - 3*l + 12 = 0. Let w = -1215 - -1222. What is the remainder when w is divided by l?
1
Calculate the remainder when 471 is divided by 396/14 + 4*(-3)/42.
23
Calculate the remainder when 33 is divided by 158/6 + (-32)/(-12) + -1.
5
Let l(v) = -31*v**3 - v. Let z = -8868 + 8879. What is the remainder when l(-1) is divided by z?
10
Let o(a) = a**3 + 4*a**2 - 5*a + 7. Let c be o(-5). Let b(s) = s + 2. Calculate the remainder when b(c) is divided by 4.
1
Calculate the remainder when (-1 - (-64)/10)/(129/430) is divided by -1 + (-296)/(-56) - 4/14.
2
Let f = 107 - 81. Suppose a - 4*t - 25 = -4*a, f = 4*a - 2*t. What is the remainder when 34 is divided by a?
7
Let x = 2 - -2. Let z = x + -3. Suppose 3*l + 2*t = 12 - 5, -2*l = -t - 7. What is the remainder when l is divided by z?
0
Let w = 401 - 381. What is the remainder when 259 is divided by w?
19
Let p(d) = -87*d - 26. Calculate the remainder when p(-1) is divided by 9.
7
Let z(p) = p**3 + p**2 + p + 1. Let i be z(-1). Let s = 46 - 8. Suppose 28*t - 26*t - s = i. What is the remainder when t is divided by 5?
4
Suppose 0 = -4*x + 75 - 15. Let v = -32 - -71. What is the remainder when v is divided by x?
9
Suppose -48*y + 54*y = -24. Let z(u) = u**3 + 6*u**2 - 2*u + 7. What is the remainder when z(-5) is divided by -3*(y + (-2)/(-6))?
9
Let d(i) be the first derivative of 5*i**2/2 - 6*i - 11. Let t(y) = 4*y + 1. Let s be t(1). What is the remainder when d(s) is divided by 10?
9
Let p be 4/6 - (-26)/6. Suppose 5*i + 3*x - 27 = -0*x, 0 = -p*i - x + 29. What is the remainder when (-4)/(-18) - -1*1435/63 is divided by i?
5
Let d = -88 + 98. Calculate the remainder when 77 is divided by d.
7
Let c(t) = 96*t**2 + 2*t. What is the remainder when c(1) is divided by 50?
48
Suppose -155 + 932 = -7*l. Let i = -67 - l. What is the remainder when 130 is divided by i?
42
Suppose -t = -z - 28, -74 + 2 = -4*t - 4*z. Calculate the remainder when 81 is divided by t.
12
Let o(l) = -9*l - 2. Let j be -2*3/(6/4). Let h(v) = -2*v**2 - 71*v - 23. What is the remainder when o(j) is divided by h(-35)?
10
Let r be 21/14*(2 - 0). Suppose -4*b = -r*x - 0*b + 58, 3*b - 69 = -4*x. Suppose -8*c + 5*c + 153 = 0. What is the remainder when c is divided by x?
15
Let x(o) = -o**2 + 8*o + 3. Let k be x(6). Suppose -5*q + 5*s = -186 + 46, -5*s = 2*q - 63. What is the remainder when (610/k - (-9)/(-3))*3 is divided by q?
26
Suppose 0 = -16*q + 10*q + 156. Let w(c) = 102*c. Let p be w(2). Suppose p = -0*i + 2*i. What is the remainder when i is divided by q?
24
Let p be (-2)/(-6) - (-190)/(-30). Let r = p + 7. Let s = r + 28. Calculate the remainder when s is divided by 16.
13
Let n = -4 + -22. Let m = n + 44. What is the remainder when 41 is divided by (m/(-3))/(4/(-14))?
20
Let k = 204 + -199. Calculate the remainder when 303 is divided by k.
3
Let f be ((-15)/(-4))/((-1)/(-4)). What is the remainder when 29 is divided by f + (0/4)/(-2)?
14
Let m = -33 - -88. Let o = m - -9. Calculate the remainder when o is divided by 33.
31
Suppose 3*l + 4 - 9 = t, -2*t + 3*l - 4 = 0. Suppose 0*v + t = v. What is the remainder when 38 is divided by -3 + v + 0 + 12?
8
Suppose 6*b - 24 = -0*b. Suppose -6 = -2*o - 2*x + 2, o - b*x - 14 = 0. Suppose j - 5*j = -140. Calculate the remainder when j is divided by o.
5
Suppose 65*q = 4217 + 4623. Calculate the remainder when q is divided by 11.
4
Let p(y) = y**3 + 3*y + 8. Let j be p(0). Suppose -3*n - 2*n = -15. Suppose -j = -n*x - f, -3*x + 11 = -f - 5. What is the remainder when 8 is divided by x?
0
Suppose 4*k - 542 = -2*v,
|
{
"pile_set_name": "DM Mathematics"
}
|
e -n = -5*c + 3 for c.
5
Let r(w) = -w - 7. Let q be r(-5). Let y = q + 7. Solve 11 = -y*b - 14 for b.
-5
Let d be (0 - 1/(-3)) + 1/(-3). Solve d*j - 10 = -2*j for j.
5
Let g be (-2)/(0 - (-4)/(-4)). Solve 3*p = -4 - g for p.
-2
Let u = -3 + 6. Suppose 2*k + 3*m = 8*m + 24, u*k - 5*m - 26 = 0. Solve 5*r - 13 = k for r.
3
Suppose 0 = -3*w + 6 - 3. Suppose -3*h + 7 = w. Solve -s = -h*s + 1 for s.
1
Suppose l = 2*l + 2. Let q(u) = -u**2 - u + 2. Let t be q(l). Solve -4 + t = k for k.
-4
Suppose 4*a + 16 = 0, -x - 3*a = -4*a - 6. Solve i = 3*i - x for i.
1
Let j(q) = -3*q - 3. Let y be j(-2). Solve 0 = -c - 2*c + y for c.
1
Let v be (3/(-2))/(-1*(-4)/(-8)). Solve -8*j - 15 = -v*j for j.
-3
Let h be 6 - 2 - (6 + 22). Let a be 0*(1 - 2) + 138. Let d be 2/8 - a/h. Solve -c = -d*c for c.
0
Let i(y) = -5*y - 3. Let t(k) = -14*k - 10. Let c(j) = 20*i(j) - 6*t(j). Let q be c(-1). Let m = 20 - 11. Solve -5*z - m = q for z.
-5
Suppose -2 = -2*j - 10. Let l(v) = -v**2 + v + 1. Let d(u) = -4*u**2 - 2*u + 2. Let q(x) = d(x) - 3*l(x). Let s be q(j). Solve -5 = -2*r - s for r.
1
Let i(g) = g**3 - 3*g**2 - 2*g + 1. Let m(f) = f**3 - 8*f**2 - 8*f - 5. Let d be m(9). Let y be i(d). Solve 4*h = y + 7 for h.
4
Suppose -3 = -2*u + 3. Solve u*l = 4 - 13 for l.
-3
Let j(p) = -p**3 + 7*p**2 - p + 9. Let c be j(7). Solve c*n + 2*n = 0 for n.
0
Suppose 5*o = 6*o + 4*i - 18, 3*o + 3*i - 18 = 0. Solve 2*z = -0*z + o for z.
1
Suppose 0 = 5*i - i - 24. Suppose -2*z + i = -0*z. Suppose z*d - 2 + 6 = 4*n, 0 = 4*d. Solve 0*u = u + n for u.
-1
Suppose -7*g + 8*g = 3. Solve 4*u - u - g = 0 for u.
1
Suppose u - 3*u = -3*x + 12, 5*u = -5*x + 20. Solve 0 = x*o + 25 - 9 for o.
-4
Let f = 51 - 49. Solve -d = f*d - 3 for d.
1
Let s be (3/9)/(2/18). Let r(l) = l**3 + 5*l**2 - l + 1. Let i be r(-5). Let c(x) = x**2 - 3*x - 3. Let j be c(6). Solve j = -s*n + i*n for n.
5
Let l be 22/66 - 46/(-6). Solve -2 = -5*k + l for k.
2
Let o be ((-50)/15 - -1)/((-3)/18). Solve -o = -4*i - 2 for i.
3
Let f be (3/4)/(24/64). Solve f*t = 4*t for t.
0
Let h(y) = y + 3. Let g be h(-8). Let z be ((-4)/g)/((-2)/(-10)). Suppose -z*j - 20 = -9*j. Solve -6 = -j*d + d for d.
2
Suppose -19 = -5*j - u + 2, -3*u = 12. Solve -j*s + 0*s = -25 for s.
5
Let x = -1 + 1. Suppose 4 = -d + b - 3, -20 = 2*d + b. Let h be (-12)/5*60/d. Solve 0*l - 4*l + h = x for l.
4
Suppose -5*w + 0*w - 4*v + 15 = 0, 3*v + 36 = 3*w. Let t be (-6)/(-4) + 2/4. Let c(r) = r**2 - 9*r + 21. Let j be c(6). Solve t*h - j = w for h.
5
Let g(j) be the first derivative of j**3/3 + 3*j**2 + 6*j - 2. Let q be g(-6). Suppose 0*l + 16 = 4*l. Solve l*p - p = q for p.
2
Suppose -2*g + 2*y + 18 = -3*y, -3*g - y + 10 = 0. Let o(d) = d**3 - 4*d**2 + 4*d - 4. Let k be o(g). Let x be k/7 + (-6)/(-21). Solve -x*v + 5 = -v for v.
5
Let q = -33 + 40. Solve 5*p - 22 = -q for p.
3
Let k(y) = 2*y - 3. Let m be k(6). Solve -4*f - m = -f for f.
-3
Suppose 5*k - 5*v = 60, 0*v = k + 3*v. Let z(b) = b**2 - 8*b - 7. Let t be z(k). Let g be -1 + 4 - (-2)/t. Solve 0 = g*x + x - 20 for x.
4
Suppose 2*r = 2*n + 14, -3*r + n = -2 - 15. Let y(a) = 2*a - 7. Let t be y(6). Suppose -w = -5*l - 0*w + 58, t*l + 5*w = 70. Solve -o + l = -r*o for o.
-3
Let h be -8*(1/(-2))/(-1). Let p = 7 + h. Solve -4*b + 1 = -p for b.
1
Let h be 12 + (-2)/(-4)*-4. Solve h = 8*y - 3*y for y.
2
Let d(s) = s + 8. Let t be d(-6). Let n(o) = o**2 + 1 + 5*o - o**3 + t*o**2 + 0*o**3. Let r be n(4). Solve 0 = -l + r - 0 for l.
5
Suppose -j + 3*j - 4 = 2*m, 2 = 2*m + j. Solve m*o = -3*o for o.
0
Let i be (-6 - (2 - 4))*(-5)/4. Solve -15 + i = -5*f for f.
2
Suppose -2*v + 1 = 4*g + 17, -g = -4*v - 23. Let b = 12 + v. Suppose 0*a - a = -8. Solve -4*w + b*w = -a for w.
-4
Let b = 47 - 47. Solve b = -5*l - 0*l for l.
0
Let g be 4*((-3)/(-2))/3. Suppose -g*u = -4 - 2. Suppose v - 3 = u. Solve b - v = -2 for b.
4
Let q(g) = g**2 - 11*g + 6. Let f be q(10). Let y be -2 - f/(-6)*-6. Solve -15 = y*h - 5*h for h.
5
Let c be -1 - -4 -
|
{
"pile_set_name": "DM Mathematics"
}
|
replacement from capppapucfpacaupuap.
5/2584
What is prob of sequence yqqy when four letters picked without replacement from {y: 17, q: 3}?
4/285
What is prob of sequence ppe when three letters picked without replacement from prpe?
1/12
Three letters picked without replacement from izzgglz. Give prob of sequence izl.
1/70
Calculate prob of sequence sn when two letters picked without replacement from {n: 18, s: 2}.
9/95
What is prob of sequence vvbc when four letters picked without replacement from bbbbvvvbbbbbbcbbbbbb?
4/4845
Four letters picked without replacement from nnnnn. Give prob of sequence nnnn.
1
Calculate prob of sequence vqkd when four letters picked without replacement from {k: 1, d: 6, z: 7, q: 1, v: 2, f: 2}.
1/7752
Calculate prob of sequence ps when two letters picked without replacement from ppkpkskp.
1/14
What is prob of sequence kdd when three letters picked without replacement from {k: 1, d: 12}?
1/13
Two letters picked without replacement from {d: 3, l: 2}. What is prob of sequence ll?
1/10
Four letters picked without replacement from {h: 3, v: 3, s: 7, d: 7}. Give prob of sequence vhvd.
7/6460
Two letters picked without replacement from {m: 2, g: 2, s: 1, b: 1, j: 1}. Give prob of sequence bs.
1/42
Three letters picked without replacement from {p: 1, d: 1, r: 1, q: 5, w: 1}. Give prob of sequence qpd.
5/504
Calculate prob of sequence jc when two letters picked without replacement from {a: 2, m: 2, c: 1, o: 1, y: 2, j: 1}.
1/72
Calculate prob of sequence oo when two letters picked without replacement from {v: 2, o: 2, t: 2, l: 1, a: 1, r: 1}.
1/36
Calculate prob of sequence jf when two letters picked without replacement from {f: 2, j: 2, k: 1, s: 2, o: 1}.
1/14
Three letters picked without replacement from iiqqq. Give prob of sequence qqq.
1/10
Four letters picked without replacement from uqmunqqumqnquuquqmq. What is prob of sequence uuqu?
10/969
Calculate prob of sequence hehh when four letters picked without replacement from shseshoeheshoososs.
1/1020
Three letters picked without replacement from {f: 1, n: 3, j: 1, t: 10}. Give prob of sequence ftn.
1/91
Four letters picked without replacement from {l: 3, d: 4, u: 13}. Give prob of sequence ldlu.
13/4845
Two letters picked without replacement from {e: 1, r: 1, v: 2, l: 1}. Give prob of sequence er.
1/20
Calculate prob of sequence kl when two letters picked without replacement from lgekel.
1/15
Calculate prob of sequence ep when two letters picked without replacement from fpkfvvfevvvvf.
1/156
Two letters picked without replacement from fkkkkikikkkkkk. What is prob of sequence ik?
11/91
Two letters picked without replacement from {x: 15, v: 4}. What is prob of sequence vv?
2/57
Three letters picked without replacement from {t: 2, d: 7, p: 3, n: 3, w: 4}. What is prob of sequence dww?
14/969
Four letters picked without replacement from {k: 2, g: 2, j: 7}. What is prob of sequence kjjg?
7/330
What is prob of sequence okv when three letters picked without replacement from {k: 1, c: 6, v: 2, o: 1, n: 3}?
1/858
Calculate prob of sequence crx when three letters picked without replacement from xxrrxxrxprxcrqrrqxxx.
7/760
Calculate prob of sequence mj when two letters picked without replacement from {m: 9, j: 9}.
9/34
Calculate prob of sequence ikjj when four letters picked without replacement from {i: 1, m: 4, e: 1, q: 7, k: 2, j: 2}.
1/14280
Four letters picked without replacement from {d: 3, i: 1, w: 4, m: 2, z: 1}. Give prob of sequence dizw.
1/660
What is prob of sequence wiww when four letters picked without replacement from {x: 4, i: 7, u: 4, m: 1, w: 3}?
7/15504
Four letters picked without replacement from {f: 5, c: 1, s: 3, i: 5, t: 1}. Give prob of sequence ssii.
1/273
Two letters picked without replacement from {o: 1, c: 3, d: 5, z: 9}. What is prob of sequence zd?
5/34
Two letters picked without replacement from uuhsosububuhbouhhhuu. Give prob of sequence us.
4/95
What is prob of sequence mh when two letters picked without replacement from mimhyi?
1/15
Calculate prob of sequence hhe when three letters picked without replacement from {h: 7, e: 4}.
28/165
What is prob of sequence ba when two letters picked without replacement from {a: 1, j: 5, m: 3, o: 4, b: 5}?
5/306
Three letters picked without replacement from sjjsjj. What is prob of sequence jss?
1/15
Four letters picked without replacement from ijjjf. Give prob of sequence jjfj.
1/20
What is prob of sequence gsgj when four letters picked without replacement from {g: 6, j: 1, c: 3, e: 4, u: 4, s: 1}?
5/15504
Calculate prob of sequence laal when four letters picked without replacement from {l: 4, m: 6, a: 4, d: 1}.
2/455
What is prob of sequence llpp when four letters picked without replacement from pplppppplppl?
2/55
Three letters picked without replacement from okczczzsbckcbzk. Give prob of sequence zks.
2/455
Three letters picked without replacement from jjjjjjjjjjjjjjssjjj. Give prob of sequence jsj.
16/171
Three letters picked without replacement from {w: 5, x: 7, s: 1}. Give prob of sequence xwx.
35/286
Three letters picked without replacement from {o: 2, d: 6}. What is prob of sequence odo?
1/28
What is prob of sequence nk when two letters picked without replacement from knkknnnnnnnknknn?
11/48
What is prob of sequence ty when two letters picked without replacement from qrtthtztttttthy?
3/70
Calculate prob of sequence hf when two letters picked without replacement from hhafahhhzhhzhhhhzfz.
11/171
Calculate prob of sequence jvj when three letters picked without replacement from jvjvvvjxvjjjjjvo.
1/10
Four letters picked without replacement from ffffffmffmm. Give prob of sequence mmff.
7/165
Two letters picked without replacement from {f: 2, g: 10}. Give prob of sequence gg.
15/22
Two letters picked without replacement from {l: 4, x: 15}. What is prob of sequence ll?
2/57
Calculate prob of sequence bfix when four letters picked without replacement from ffbxbbbbbbfbifibbbb.
1/969
What is prob of sequence xu when two letters picked without replacement from {x: 2, w: 1, l: 2, m: 1, q: 1, u: 1}?
1/28
Calculate prob of sequence lwlx when four letters picked without replacement from {d: 1, y: 3, n: 1, x: 5, w: 1, l: 3}.
5/4004
What is prob of sequence se when two letters picked without replacement from {b: 1, e: 1, g: 1, i: 2, t: 1, s: 1}?
1/42
What is prob of sequence kmkk when four letters picked without replacement from kxkkkkkxkxmkkkkzkxkx?
143/9690
Calculate prob of sequence gg when two letters picked without replacement from {v: 7, p: 1, r: 1, g: 3}.
1/22
What is prob of sequence weo when three letters picked without replacement from ewtowewteeeeeewe?
3/280
Calculate prob of sequence jz when
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{
"pile_set_name": "DM Mathematics"
}
|
osest to x? (a) -0.4 (b) 0.2 (c) m
b
Let r be (-12)/(-15)*(-10 - (-75)/10). What is the nearest to 4 in -3, 0.5, r?
0.5
Let r = 2987 - 2991. Let h = 2 - 1.9. What is the nearest to -0.1 in 16, r, h?
h
Let n = 4602.8 - 4603. What is the nearest to 4 in -1, n, 49.5?
n
Let i be 6/7*(-6)/(-12)*(-826)/1829. What is the nearest to 2 in -0.38, -1, i?
i
Let p = 3886/11569 + 6/503. Which is the closest to p? (a) 0.03 (b) 3 (c) -3
a
Let r = 4606 + -50678/11. What is the closest to 1 in 1/5, -0.2, r, -6/25?
1/5
Let g be 837/(-2835) + 9/21. What is the nearest to -0.037 in 0, g, -4?
0
Suppose -25 = -5*s, 2230 = -3*i + 2*s + 186. Let l be i/(-2079) - (-4)/(-18). Let x = l - -3/77. Which is the nearest to -1? (a) -2/13 (b) x (c) -1/6
c
Suppose x + 41*x - 42 = 0. Which is the nearest to 1/8? (a) -2/5 (b) x (c) 8
a
Let v = 0.062 + 6.538. Let g = v + -2.6. What is the closest to 0.1 in -9, g, 0.2?
0.2
Suppose -2*i = -3*o + 79, -7*o + i = -4*o - 77. Suppose -o*v - 51 = -8*v. Which is the closest to v? (a) -4 (b) -9 (c) 0.5 (d) -2/9
a
Suppose -2*p - 15 = 5*t, 5*t - 39*p + 175 = -57*p. Let q be 1 - 0 - (-1)/1. Which is the nearest to -2/27? (a) -1/3 (b) q (c) t
a
Let y = -10 - -9.8. Let f = 0.4 - 3.4. Let g(m) = -m - 4. Let d be g(-4). Which is the closest to d? (a) -4 (b) y (c) f
b
Let l = -1206 + 729. Let s = l + 473. Let h = 0 + 0.1. Which is the closest to h? (a) -2 (b) s (c) 1
c
Let x = 15 + -12. Let k = 2.5 - x. Suppose 104*a = 98*a - 12. What is the closest to a in 0.5, k, -2/9?
k
Let w = -8 + 6. Let g = -55/31 + 106/217. What is the closest to g in -3, -5, w?
w
Let o = 4 + -6. Let j(q) = 10*q**2 + 3*q + 1. Let w be j(-1). Suppose 4*g + 4 = -d - 2*d, -3*g = 5*d - w. What is the closest to -2/9 in o, -1, g?
-1
Suppose -5*j - 66 = -91. Suppose -p = d, 3 = 4*d - 4*p - j. Suppose -2*m = m. What is the nearest to m in 5, d, 0?
0
Let n be (-20)/(-9) - 0 - 2. Let w be (((-48)/18)/2)/(2/(-189)). Let f be ((-6)/(-32))/(w/(-84)). What is the closest to -1 in f, n, 2?
f
Let c be (8/(-14))/((-190)/(-133)) - (-627)/4180. Let w = -0.71 - 0.19. Let o = -0.1 + w. What is the nearest to c in 5, 6, o?
o
Let l be ((7/(-6))/7)/((-30)/45). Let d = 96 - 191/2. What is the closest to 0.2 in l, -4, d?
l
Let u = 48.416 - 44.8. Let q = u + -3.6. Let r = q + -5.016. What is the nearest to -1 in r, 0, 5/6?
0
Suppose -5*i + 13 = r, 5*r + 5*i - 3*i - 19 = 0. What is the closest to -46 in 0, r, -2/11?
-2/11
Let n = -5650/9 - -62288/99. Which is the closest to n? (a) 4 (b) 0.1 (c) -0.5
b
Let p be (-6)/7*(-42)/(-6). Let t = -1636 + 1641. Let j = -3 - -1. What is the nearest to j in p, t, -0.1?
-0.1
Let h = -2029.9 + 2034.9. Which is the nearest to h? (a) 3 (b) 5 (c) 3/4
b
Let p = -8570/3 + 2857. Let q be 1*-1 + 10/(-4). Let j = q - -19/6. Which is the nearest to -2? (a) p (b) -0.2 (c) j
c
Let v(q) = -q**2 - q + 18. Let o be v(0). Let r = -21 + o. Let u be 15/(-6) + r/2. What is the closest to -0.3 in 0, -3, u?
0
Let s = 16575 + -16567. What is the nearest to -20 in 5/3, s, 2/9, 0?
0
Let q = -228.68 - -217.68. Which is the nearest to -0.1? (a) q (b) 0.1 (c) -6.4
b
Let k be (-63)/(-105) - (-2)/(-10). Let m = -14054/7 + 2008. Which is the closest to m? (a) 2/39 (b) k (c) 1
b
Let y be ((-70)/(-112))/((-564)/24). Which is the nearest to y? (a) -3 (b) 2/3 (c) -5
b
Let j = 0.185 - -1.815. What is the nearest to 0.1 in j, -2/53, -30, 1/4?
-2/53
Let w = 0.31632 - 2.31632. Which is the closest to 27? (a) 3 (b) w (c) 2/7 (d) -0.1
a
Let z = -0.63 + -0.37. Let n = -0.3 + 0.8. Let r = 1483.4 - 1483. Which is the nearest to -5? (a) z (b) r (c) n
a
Let z = -258 - -196. Let y = 58 + z. What is the nearest to 2 in 4, 0.08, y?
0.08
Let j = 140 + -976/7. Suppose -3*l - 11 = x, 5*l + 8 = x - 5. Let k be (-4)/24*-3*l/(-1). What is the nearest to 0.1 in 1, k, j?
j
Let t be (-9)/16*12/(-9). Let q(h) = -h**3 - h**2 - 3*h + 6. Let n be q(0). Let d be 2/n*6/(-7). Which is the closest to d? (a) 2 (b) t (c) 1/2
c
Let k = 11399 + -11403. Which is the closest to 13? (a) 0.6 (b) -0.05 (c) k
a
Let f = 38.95 - 39.05. What is the nearest to -3/5 in -0.03, -0.12, f?
-0.12
Let o = -3280 - -3278. Which is the nearest to -0.
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{
"pile_set_name": "DM Mathematics"
}
|
9*m - 3*m + 8*m + (4 - 1 - 4)*(2*m + 3*m - 6*m))*(m**2 + 2*m**2 - 5*m**2) as r*m + y*m**2 + c + w*m**3 and give w.
6
Rearrange ((2 + 1 - 4)*(2 + p - 2) - p + 5*p - 5*p + (4*p + 2*p - 5*p)*(0 + 4 + 0))*(p - p - 2*p) to the form k + g*p**2 + h*p and give g.
-4
Express (-202*i**2 + 30*i**4 + 202*i**2)*(1 - 2 - 2) as u*i**2 + f*i**3 + w + a*i**4 + j*i and give a.
-90
Rearrange (2*o - 2*o - 2*o**2)*(-19 - 17 - 8) to the form j + l*o**2 + v*o and give l.
88
Express (2*m - m - 2*m)*(-13*m + 6 - 6) as p*m + n + v*m**2 and give v.
13
Rearrange 0 + 4 + 0*a**3 - a**2 - 3 - a**3 to the form r + w*a**3 + s*a + q*a**2 and give w.
-1
Express 4*v**3 + 53*v**2 + 0*v**3 - 52*v**2 + 2*v as t + c*v**3 + g*v + j*v**2 and give g.
2
Express (-4*x**3 + 4*x**3 - 3*x**3)*(2 + 21 - 2*x - x) in the form n*x**3 + y*x**4 + u*x + f + i*x**2 and give n.
-69
Express -2*r**3 + 2*r + 15*r**2 + 2*r**3 - r**3 as s*r + q + u*r**2 + k*r**3 and give k.
-1
Rearrange (0 + 2*i**2 + 0)*(3 + 3 + 0) + (2*i**2 + 0*i + 0*i)*(1 - 1 + 2) + 1 - 1 - i**2 to the form g*i + n + s*i**2 and give s.
15
Express -2 + d**2 + 0*d**2 + d**4 + d**4 + d**4 in the form i + s*d + x*d**2 + r*d**3 + l*d**4 and give i.
-2
Rearrange 2*j**2 - 2 - 2*j**4 - 10*j + 20*j - 10*j + 5*j**3 to y + p*j**4 + f*j + g*j**2 + h*j**3 and give y.
-2
Rearrange (2*u + 3*u - 4*u)*(-1 + 0 + 3) - 2*u - 2*u - u to the form y + j*u and give j.
-3
Rearrange r - 15*r**3 + 11*r**3 + 11*r + (-3 + 5 - 3)*(r**3 - 2*r**3 + 2*r**3) to the form g*r**2 + m + h*r + i*r**3 and give m.
0
Rearrange 4*w**2 - 5*w - 7*w**2 + 5*w to k + c*w + d*w**2 and give c.
0
Rearrange (1 - l + 27*l - l)*(2 - 1 + 1) to the form j + r*l and give j.
2
Express 9 + 0 - 16*m + 8*m as a*m + t and give t.
9
Express -68*p - 53*p - 20*p as j*p + l and give j.
-141
Rearrange (-2*v + 1 - 1)*(10 - 42 - 10)*(0*v**2 - 3*v**2 + 2*v**2) to the form f*v + b*v**3 + w*v**2 + x and give w.
0
Rearrange 7*w + 5*w + 0*w to d + r*w and give r.
12
Express ((-4 - 1 + 3)*(-2 - 1 + 1) + 3 - 1 - 1)*(y**2 - y**4 - y**2) as w*y**4 + i*y**3 + h*y + m*y**2 + o and give w.
-5
Express -2 + 28*g**2 + 1 - 21*g**2 as l*g + k + y*g**2 and give y.
7
Express -3*u**3 - 3*u**2 + 3*u - 2*u**3 - 2*u as k*u**3 + a + g*u**2 + h*u and give h.
1
Rearrange 0*x**3 - x**3 + 0*x**3 + (-5*x + 0*x - 3*x)*((-2*x + 1 - 1)*(-3 + 3 + x) + x**2 + 0*x**2 + 0*x**2) to the form w + c*x**3 + f*x**2 + i*x and give c.
7
Rearrange 33 - 33 - 20*h**2 to o + f*h + r*h**2 and give r.
-20
Express (2 - 1 - 2)*(-3*n + n + n)*(-2 + 615*n - n**2 + 3*n**2 - 707*n) as c*n**2 + k + d*n + h*n**3 and give d.
-2
Express -679*k**2 + 680*k**2 + k**3 - 3*k**4 - k + 0*k**3 + 1 as x*k**3 + m*k**4 + a*k**2 + u + f*k and give a.
1
Express -3*v**4 - 2*v**3 - 104*v - 5*v**4 + 0*v**3 + 105*v + 2 - v**2 in the form q*v**3 + s + a*v**4 + t*v + b*v**2 and give s.
2
Express (-y + 1 + 2 - y)*(-4*y + 2*y + 0*y)*(2 - 3 + 0)*(2*y**2 - y**2 - 2*y**2) as j*y**2 + h*y + o*y**4 + i*y**3 + l and give o.
4
Express 391*w + 4*w**2 - 388*w - 3 - 2*w**2 in the form x*w**2 + m*w + o and give o.
-3
Rearrange (1 - 3 + 1)*(-2 + 0 + 1 + (1 + 2 - 1)*(1 + 0 - 3) + 0 - 1 - 1 - 2 + 2 - 5)*(-u + 4*u - 7*u) to p*u + o and give p.
-48
Rearrange -o - 6*o**3 + o**3 + o - 3*o**2 + 2 to a + z*o + p*o**3 + q*o**2 and give p.
-5
Rearrange (0 - 4 + 2)*(-2 + 2 + 8*c)*(1 - 3 + 1) to w*c + q and give w.
16
Express (20 + 89 - 14 - 5)*(2*f - 7 + 7) as q*f + u and give q.
180
Express (3*c - 3*c + 2*c**2)*(8 - 2 + 11) in the form u*c**2 + s + g*c and give u.
34
Rearrange -p + 0*p + p - 16*p to s*p + t and give s.
-16
Express (6 - 1 - 4)*(2*f - 2*f + f) - 2*f + 0 + 0 - 5*f + 0*f - 2*f in the form x*f + g and give x.
-8
Rearrange -8 + 8 - 12 + 2*d**2 to the form v + r*d**2 + b*d and give v.
-12
Rearrange -2*f**3 - 2 - f**4 + 2*f**2 + 0*f**4 + 3 + 3*f**3 to the form j*f**3 + y + a*f**2 + t*f**4 + w*f and give a.
2
Rearrange 20*o**2 - 21 + 44 + 15*o**2 - 25 to the form p*o + w + a*o**2
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{
"pile_set_name": "DM Mathematics"
}
|
9
Let y(g) = -g**3 - 6*g**2 - 20*g - 6. Calculate the remainder when y(-4) is divided by 18.
6
Let v = -981 + 994. Let g = 15 + 88. Calculate the remainder when g is divided by v.
12
Suppose 0 = -2*k + 2*i - 1 + 35, -4*k - i = -43. Suppose -4*b - s = -274, -18*s = -20*s - 4. What is the remainder when b is divided by k?
9
Suppose 4*t - 398 = 662. Calculate the remainder when t is divided by 10.
5
Let f(k) = -k**2 + 9*k + 29. What is the remainder when f(7) is divided by 24?
19
Let u = 109 - 19. Suppose -u = -4*b - 474. Let y = b + 152. Calculate the remainder when y is divided by 15.
11
Suppose -568*r + 567*r + 16 = -5*h, 4*h = 2*r - 62. Suppose -2*q + 6 = 5*t, -4*t + 34 = 4*q + 10. What is the remainder when r is divided by q?
1
What is the remainder when 131 is divided by ((10 - 3) + -4)*22/3?
21
Let y = 31 - 26. Let i = 34 - 17. What is the remainder when i is divided by y?
2
Suppose 11*x + 4 = -7. Let f = 17 + x. What is the remainder when 43 is divided by f?
11
Calculate the remainder when -7*(60/(-28) + 1) is divided by 1.
0
Suppose 5*k - 200 = 4*g, -58 - 22 = -2*k - 5*g. Calculate the remainder when 121 is divided by 205/k*6 - 1/(-4).
28
Let o(l) = 4*l**2 - 3*l - 1. Suppose 6*j - 8 = 34. Suppose 135 = 2*m + j*m. What is the remainder when o(-3) is divided by m?
14
Calculate the remainder when (-14)/(-7)*60 - 6 is divided by 32.
18
Suppose 151*i = 181*i - 3150. Calculate the remainder when 728 is divided by i.
98
Suppose 0 = -97*q + 94*q + 654. Calculate the remainder when q is divided by 37.
33
Let k = 309 - 289. Suppose -2*u + 790 = 3*u - 5*r, -r + 158 = u. What is the remainder when u is divided by k?
18
Let g be -2 + (2/2 - -3). What is the remainder when (0 + 2/g)*55 is divided by 19?
17
Let c = 15 - 13. Let n = 9 + -4. Suppose -5*m - 7 + 32 = -n*x, 0 = c*m + 5*x - 24. Calculate the remainder when m is divided by 3.
1
Let c(t) = -t + t - t + 0. Let i be c(3). Calculate the remainder when 74*(i/6 + 1) is divided by 20.
17
Suppose 0 = -5*s + 26 + 29. Suppose s = 3*b - 28. Calculate the remainder when 23 is divided by b.
10
Let d = 97 - 203. Let f = d + 208. Calculate the remainder when f is divided by 26.
24
Calculate the remainder when 94 is divided by (4 + -11)/(2 + 10/(-4)).
10
Let p be ((-2)/(-2))/((-1)/(-10)). Calculate the remainder when ((-690)/(-4))/5 - 5/p is divided by 12.
10
Let j(z) = z**2 - 6*z - 5. Let b be j(7). Suppose -7 = -b*t - 1. Let k = -27 - -32. Calculate the remainder when k is divided by t.
2
Suppose -2*o + 15 - 1 = 0. Suppose l = -28 + 25. Let q = l - -15. Calculate the remainder when q is divided by o.
5
Let b(z) = -20*z + 878. What is the remainder when b(37) is divided by 132?
6
Let r(v) = -2*v - 9. Let s be r(-6). Let b = -89 + 156. Suppose -3*h + 2*a = -b, -a + 1 = s. What is the remainder when 81 is divided by h?
18
Calculate the remainder when 197 is divided by ((-2)/(-4))/(26/1300).
22
What is the remainder when 16/(-88) + (-17067)/(-33) is divided by 26?
23
Let i(a) = a**2 + 2*a - 1. Suppose d - 2*y - 64 = 0, -7*d + 5*y = -5*d - 133. What is the remainder when d is divided by i(3)?
12
Let d(l) = 2*l**2 + 21*l + 16. What is the remainder when d(-15) is divided by 19?
18
Let f = -15 + 36. Let h(k) = -k - 7. Let i be h(-10). Suppose 0 = -i*m + 5*g + 43, 2*m - g - 26 = g. Calculate the remainder when f is divided by m.
10
Suppose 4*v - 303 = -6*t + 3*t, -3*v = -3*t - 222. Let n(c) = 4*c**2 - 3*c - 3. Calculate the remainder when v is divided by n(-2).
18
Let i(z) = z**3 + 4*z**2 - z + 12. Let b = 62 + -54. Calculate the remainder when i(-4) is divided by b.
0
Let m = -639 - -722. What is the remainder when m is divided by 14*1*(2 - 0)?
27
Suppose -3*p = -4*m - 18, p - 2*m + 6*m - 6 = 0. Calculate the remainder when p/(-2 - (-16)/7) is divided by (6/(-10) + 1)*20.
5
Suppose 5*b + 11 = 241. Let y = -36 + b. What is the remainder when 37 is divided by y?
7
Let n(z) = -z**2 - 2*z + 7. Let o be n(-4). Let k(t) = 7*t**2 + 3*t + 2. What is the remainder when k(o) is divided by 4?
2
Let w(z) = -2*z - 6. Let u(a) = a + 4. Suppose -32 = 4*q - 2*q - 3*r, -q = -4*r + 26. Let m be u(q). Calculate the remainder when 11 is divided by w(m).
5
What is the remainder when 81 + (-5)/((-30)/(-42)) is divided by 28?
18
Suppose -2*o + 3*l + 14 = 0, 3*o = 4*l + 12 + 8. Let f(z) = z + 20. Calculate the remainder when f(-12) is divided by o.
0
Suppose 13*x - 360 = -7*x. What is the remainder when 101 is divided by x?
11
Let q(o) be the second derivative of o**4/4 + o**3/3 - 5*o**2 - 8*o - 9. Let a(i) = i - 2. Let x be a(5). Calculate the remainder when q(x) is divided by 12.
11
Let q = 3 - 3. Suppose 3*j + y - 416 = -q*y, -2*y = 2*j - 280. What is the remainder when 91 is divided by (j/(-9))/((-4)/6)?
22
Suppose -z - 3*p + 123 = 0, -19*z + p - 337 = -22*z. What is the remainder when z is divided by 13?
7
Let y(t) = t**3 - 5*t**2 + 4*t - 11. Suppose -5*u - 1 = -21. What is the remainder when y(5) is divided by u?
1
Let z(b) = 6*b**2 - 17*b - 21*b + 5 + 37*b - 2. Suppose -6*g + g = -105. Calculate the remainder when z(-3) is divided by g.
18
Let w(r) = 2*r**2 - 7*r + 6. Let t = -7 + 1. Let s = 10 + t. What is the remainder when w(4) is divided by s?
2
Let r = -131 - -187. Let o = 63 - r. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
o(1).
7
Let p(s) = -5*s - 41. Give p(-11).
14
Let a(y) = 67*y + 305. Determine a(-4).
37
Let f(r) = r**3 - 15*r**2 - 251*r - 8. Give f(-10).
2
Let g(d) = 2*d**2 - 3*d + 4. What is g(3)?
13
Let l(k) = -k**3 - 18*k**2 + 20*k + 17. Calculate l(-19).
-2
Let l(h) = 5*h**2 - 12*h - 3. Calculate l(3).
6
Let m(g) = -2*g - 26. Calculate m(16).
-58
Let r(u) = -u**3 - 4*u**2 + 7*u + 4. Calculate r(-5).
-6
Let k(n) = n**2 - 6*n - 19. Calculate k(9).
8
Let i(c) = -c**2 + 9*c + 1. What is i(9)?
1
Let o(b) = -b**2 + 12*b + 9. Determine o(12).
9
Let i(w) = -2*w**3 - 42*w**2 + 42*w - 48. Determine i(-22).
-4
Let h(n) = 3*n**2 + 44*n + 145. Give h(-6).
-11
Let d(n) = -n**3 - 33*n**2 + 2*n + 75. Determine d(-33).
9
Let i(q) = 2*q**2 + 20*q + 32. Give i(-2).
0
Let c(i) = i**2 - i - 1. Give c(5).
19
Let b(o) = 5*o. What is b(1)?
5
Let c(t) = -t**3 + 11*t**2 - 20*t + 8. What is c(9)?
-10
Let y(p) = -6*p - 9. Calculate y(-11).
57
Let j(x) = -x + 1. Determine j(-4).
5
Let r(n) = n**2 - 11*n - 11. What is r(11)?
-11
Let u(d) = d**2 + 10*d - 38. Calculate u(-13).
1
Let q(b) = -b**2 + 2*b - 2. What is q(3)?
-5
Let v(s) = 2*s - 6. Calculate v(12).
18
Let j(u) = 2*u**3 + 13*u**2 - 6*u - 7. Calculate j(-8).
-151
Let l(v) = v**3 - 5*v**2 - v - 4. Determine l(3).
-25
Let x(a) = 3*a**3 + 5*a**2 - 2*a - 7. What is x(-2)?
-7
Let p(l) = l**2 + 11*l + 20. Determine p(-11).
20
Let l(c) = -10*c + 27. Calculate l(3).
-3
Let z(i) = -i**2 - i + 63. Calculate z(0).
63
Let n(h) = -h**2 - 18*h + 9. What is n(-14)?
65
Let s(l) = 3*l. Calculate s(-1).
-3
Let a(b) = -b**3 - 8*b**2 - 6*b - 2. Give a(-7).
-9
Let b(x) = -x**3 - 5*x**2 + 4*x + 39. What is b(-4)?
7
Let m(q) = -q**3 - 16*q**2 + 19*q + 40. Determine m(-17).
6
Let z(a) = -a**2 - 4*a + 9. Calculate z(-7).
-12
Let v(d) = 2*d - 63. Determine v(23).
-17
Let q(g) = g + 6. Determine q(2).
8
Let a(t) = -10*t**2 + 81*t + 1. Give a(8).
9
Let m(b) = -b**2 - 24*b + 3. Determine m(-24).
3
Let l(i) = 3*i + 40. Determine l(-14).
-2
Let c(k) = -k**2 - 17*k - 25. Give c(-15).
5
Let a(v) = v**3 + 17*v**2 - 24*v + 6. Give a(-18).
114
Let v(b) = -b**2 + 38. Calculate v(0).
38
Let n(t) = t**2 + 17*t - 61. Determine n(-19).
-23
Let z(l) = 2*l**2 - 5*l - 8. Give z(6).
34
Let f(r) = -r**3 + 13*r**2 + r - 6. Determine f(13).
7
Let a(z) = z**3 - 10*z**2 + 5*z + 12. Calculate a(9).
-24
Let v(z) = -5*z + 2. Calculate v(11).
-53
Let d(l) = l**3 + 12*l**2 + 20*l + 8. What is d(-10)?
8
Let v(n) = n**2 + 15*n + 43. Give v(-12).
7
Let n(x) = -4*x - 19. Determine n(-7).
9
Let w(z) = -5*z**2 - 3*z - 15. Give w(4).
-107
Let p(j) = -4*j**3 + 67*j**2 + 17*j + 14. What is p(17)?
14
Let x(i) = -i**3 - i**2 + 9. What is x(0)?
9
Let k(g) = -g + 104. What is k(16)?
88
Let c(m) = -m**3 - 5*m**2 - 3. Give c(-3).
-21
Let d(u) = -u**2 + 9*u - 4. Give d(8).
4
Let z(j) = 2*j - 18. Calculate z(12).
6
Let h(m) = -2*m - 4. Determine h(-5).
6
Let u(m) = -2*m**2 - 7*m + 6. Determine u(2).
-16
Let j(s) = -s**2 + 14*s - 22. Determine j(3).
11
Let t(z) = 3*z**2 - 10*z - 28. What is t(-2)?
4
Let b(y) = -51*y + 729. Determine b(14).
15
Let q(s) = -s**2 + 3*s + 25. Give q(6).
7
Let m(t) = -t**2 + 12*t - 43. Determine m(8).
-11
Let h(p) = -2*p - 25. Give h(-12).
-1
Let a(u) = 11*u - 50. Determine a(25).
225
Let t(c) = c + 3. What is t(1)?
4
Let f(q) = -29*q + 292. Determine f(10).
2
Let v(c) = -3*c + 34. What is v(12)?
-2
Let q(p) = p**3 + 8*p**2 + 14*p + 13. Calculate q(-6).
1
Let i(y) = 3*y + 10. Give i(-4).
-2
Let f(z) = -z**2 + 3. Determine f(-4).
-13
Let g(v) = -v**3 - 9*v**2 - 12*v + 14. Calculate g(-7).
0
Let b(j) = -j**3 - 8*j**2 + 2*j - 8. Determine b(-8).
-24
Let x(n) = -n - 22. Determine x(-15).
-7
Let p(h) = 2*h**2 + 7*h + 1. Calculate p(-3).
-2
Let w(n) = 5*n**2 - 6*n + 7. Determine w(2).
15
Let u(f) = f**3 - 6*f**2 - 4*f - 4. Calculate u(4).
-52
|
{
"pile_set_name": "DM Mathematics"
}
|
(x) = 32057*x**2 + 5*x - 50. Let n be f(5). What is n rounded to the nearest ten thousand?
800000
Let u = 68.69998325 - 68.7. What is u rounded to 6 decimal places?
-0.000017
Let n = -6.932 - -8.03. What is n rounded to 2 decimal places?
1.1
Let w be ((-1115225)/(-62))/((-4)/(-960)). Round w to the nearest 100000.
4300000
Let a = 85.61 - 2.11. Round a to the nearest integer.
84
Let r = 2834 - 5218. Let b = r - -1194. Round b to the nearest one hundred.
-1200
Let t(r) = 10*r - 4. Let y be t(0). Let k be 802*(4 + 36)*50/y. What is k rounded to the nearest ten thousand?
-400000
Suppose 9*n - 350592 = 5*t + 13*n, 4*n - 280488 = 4*t. Round t to the nearest 10000.
-70000
Let y be (13 - 169) + (2 - -3). What is y rounded to the nearest 10?
-150
Let b be 10 + -12 + -89863*17. Let i = 167673 + b. What is i rounded to the nearest 100000?
-1400000
Suppose -4*g + 2 = -4*u - 10, -2*u - 4*g + 24 = 0. Suppose -4*a - 100 = 3*m + 88, 0 = -3*m + u*a - 212. What is m rounded to the nearest 10?
-70
Let r = 9181 - 10486.4. Round r to the nearest 10.
-1310
Let r = 6.03 + -6.0299545. What is r rounded to five decimal places?
0.00005
Let k = -162196 + 274776. Let z = k - 260580. Round z to the nearest 10000.
-150000
Suppose 3*y = -11*y + 285600. Round y to the nearest one thousand.
20000
Let k be ((-5)/1)/(-1) + -1. Let o be (-707 - 10)/(3/(-8)). Suppose k*i - y + 3796 = 0, -4*y - o = 2*i - y. Round i to the nearest one hundred.
-1000
Let t = 68503 - 68503.0770075. Let y = -0.077 - t. What is y rounded to six dps?
0.000008
Let l(q) = -45*q**2 + 3*q - 12. Let i be l(9). What is i rounded to the nearest one hundred?
-3600
Suppose 5*f = -8788 - 11212. What is f rounded to the nearest 10000?
0
Let s(q) = -28010*q**2 + q - 138. Let k be s(-22). What is k rounded to the nearest 100000?
-13600000
Let y = -176.1 + 176.1001843. Round y to five decimal places.
0.00018
Let b = 39748 + 24052. Suppose 5*x - b = -6*x. Round x to the nearest one thousand.
6000
Suppose 3*t + 54243 = -2*f, -6538 - 47687 = 2*f - 3*t. Let l = 55917 + f. What is l rounded to the nearest 1000?
29000
Let k(q) = q**3 + 6*q**2 - 9*q - 7. Let n be k(-7). Suppose -5*h + n*h - 92160 = 0. Let u be (1 - -124)/(8/h). What is u rounded to the nearest 100000?
700000
Let c = -700 - -380. What is c rounded to the nearest 10?
-320
Let z = -203.834 + 199.8. Let h = 65 + -61. Let j = z + h. What is j rounded to two dps?
-0.03
Let t be -2943949 - 45 - 6*1. What is t rounded to the nearest one hundred thousand?
-2900000
Let h = -24079 + 24078.886696. Let v = 0.04952 + h. Let u = 0.064 + v. What is u rounded to 5 dps?
0.00022
Let o = 25604.09918 + -25607. Let s = o - -2.9. What is s rounded to 4 decimal places?
-0.0008
Let d = -66380801 + 66380744.000323. Let a = 57 + d. What is a rounded to 5 decimal places?
0.00032
Suppose 0 = -4*o - 8, -2*h - 26 = -5*h - 5*o. Let l(j) = -j**3 + 10*j**2 + 7*j - 14. Let b be l(h). Let y = -142 + b. What is y rounded to the nearest 100?
-400
Let p = -2.76 - -2.75999808. Round p to seven dps.
-0.0000019
Let u = 874.036 - 879. Let x = 0.13 + 4.87. Let o = u + x. What is o rounded to 2 decimal places?
0.04
Let j = 0.163 + -0.1553. Round j to 3 decimal places.
0.008
Let r be (-350)/(-30) + 4/(-6). Let w(l) = -5*l**2 + 8*l - 13. Let a be w(r). Round a to the nearest 100.
-500
Suppose 3*x = 5*f + 28109990, 3*x - 13042824 = -f + 15067178. What is x rounded to the nearest 1000000?
9000000
Let j = 7916922 - 1116922. Suppose 0 = -5*k - 3*g + 39 - 14, -4*g = 2*k - 24. Suppose 6*n - k*n + j = 0. What is n rounded to the nearest 1000000?
-2000000
Suppose 5*q - 3*t = 98949988, 108796966 - 29636978 = 4*q - 3*t. What is q rounded to the nearest one million?
20000000
Let s(q) = 21430*q - 20. Suppose -42 = 23*d - 26*d. Let u be s(d). What is u rounded to the nearest one hundred thousand?
300000
Let u = -14 + 18. Suppose 3*i = u*q + 45615, 0*q = q + 3. Suppose -11403 = 3*v - 0*v + 3*o, -4*v = o + i. Round v to the nearest 1000.
-4000
Suppose -51*c - 48184894 = -480052894. What is c rounded to the nearest one million?
8000000
Let c(p) = 632340*p + 30. Let b be c(7). Suppose b = 5*y - 3373590. What is y rounded to the nearest one hundred thousand?
1600000
Let q = 31 - 25. Let d = -5.975 + q. Round d to 2 dps.
0.03
Let d = -2.22 - 9.48. Let s = d - -4.8. Round s to the nearest integer.
-7
Let q = 45 - 64.8. Let a = 19.897 + q. What is a rounded to 2 decimal places?
0.1
Let v = 29.4 - 2.4. Let o = -16 + v. Let a = o - 11.00125. Round a to 4 dps.
-0.0013
Let z = 100 + 64. Let k = z - 170.35. Round k to 0 decimal places.
-6
Let z = -28 + 87. Let u = z - 58.9999555. What is u rounded to 6 decimal places?
0.000045
Let x = -114.1 + 81.2. Let d = x - -38.86. Round d to 0 decimal places.
6
Let s = 1063.2200002 - 1063.2. Let v = 31.98 - 32. Let a = s + v. Round a to seven dps.
0.0000002
Let b = -9 - -27. Let j = 18.092 - b. Round j to two dps.
0.09
Suppose -3*n = -2*n - 23. Suppose 3*w = -5*v - n, -3*w + 0*v - 16 = -2*v. Let a(z) = 745*z**2 + 2*z - 8. Let f be a(w). Round f to the nearest one thousand.
27000
Let a = 0.732 - 0.73
|
{
"pile_set_name": "DM Mathematics"
}
|
is the nearest to 6 in n, -4, 0.3?
0.3
Suppose -8*z = -10*z + 24. Suppose -4*r + z = 0, 0 = 5*p - 0*p - 3*r + 19. Which is the closest to -1? (a) 1/7 (b) p (c) 0.4 (d) 3/11
b
Let t = 25 - 17. Let v be (t/(-14))/(-4 + (-162)/(-42)). Let z = 0.18 - 0.18. What is the nearest to z in -0.2, v, -0.3?
-0.2
Let z(t) = t**3 - 63*t**2 + 114*t + 485. Let w be z(61). What is the closest to -3 in 2, w, 2/11, 4?
w
Let w be (-2)/2 - 8/(-6). Let l = -6197 + 6200. Let u = 0.15 - -0.15. What is the nearest to w in u, l, -5?
u
Let r = 1.94 + 75.06. Let b = -81 + r. Let d = -0.2 - 0.8. What is the closest to d in b, -5, -0.5?
-0.5
Let v = 0.9 - -0.1. Let t = -2.4 + 0.2. Let w = t + 2.5. Which is the closest to -5? (a) v (b) -0.5 (c) w
b
Let z = -119.4 - -77.4. What is the closest to -2 in z, -2/15, 3/2?
-2/15
Let j be (-56)/168*(0 + 3). Let g = 0.2 + 0.4. What is the closest to 2/7 in 3, j, g?
g
Let v = 104.3 + -99. Let j = v - -6.7. Which is the nearest to j? (a) 4 (b) -2/11 (c) -0.1
a
Let a be (-22)/(-176) - (-78)/(-240). What is the nearest to -1 in 3, 1/5, 0.5, a?
a
Let d = 1.86 + 7.14. Let x = -98 + 94. Which is the closest to d? (a) x (b) 2 (c) 0.2
b
Let n = 98.2 - 97.2. Which is the closest to 0.7? (a) n (b) -3 (c) 0.2
a
Let s be 8/(-36)*(-2)/4. Let b = s - 0. Let j be (-1 + (-2)/(-4))*-2. What is the nearest to j in -2/11, 0.4, b?
0.4
Let m be 1159/2945 - 2/10 - 0. Let t = m + -116/279. Let o = 10 + -14. Which is the closest to -2/39? (a) o (b) 0.2 (c) t
c
Let a = 76 + -14. Let v = 1870 + -1937. Let m = a + v. What is the closest to 1/4 in -0.06, m, 0?
0
Let q = 75.505 - 75.905. Let k = -18 - -35/2. Which is the nearest to k? (a) q (b) -4 (c) -5
a
Let m = 22300 - 22300. What is the nearest to -2 in 2/7, 5, m, 17?
m
Let x be ((-155)/(-62))/((-2)/(-4)). Let t = 0.1968 - -0.0032. Which is the nearest to t? (a) 0.6 (b) x (c) -5
a
Let j = -6.831 - -2.831. Which is the closest to -1? (a) -0.2 (b) 5 (c) j (d) 19
a
Let l = -5.06 + 0.06. Let s = 9129 - 9131. Let g be -2 + 22/36*3. What is the nearest to 0 in g, s, l?
g
Let a = -84977 + 594836/7. Let r = -3.4 - -3. What is the nearest to r in a, 0, 1?
a
Let w = -1.455 - -1.6. Let k = 5.855 + w. Which is the nearest to 0.1? (a) k (b) 1/2 (c) 5
b
Let x be (-67 + 66)/(154/16) + (-6)/33. What is the closest to x in -1, -37, 4?
-1
Let g = -1691 + 997. Let t = g + 694. Let q = -0.11 - 3.89. Which is the nearest to 2? (a) q (b) t (c) 0.2
c
Suppose -4*h + 7*s - 4*s + 38 = 0, 0 = -5*h + 5*s + 45. What is the closest to 0 in -2/13, 0.06, h?
0.06
Let v = -2.93 - -5.93. Let h = -7 + 6.9. Which is the nearest to h? (a) 7 (b) -2/3 (c) v
b
Let k(i) = 7*i**3 - 7*i**2 + i + 3. Let z be k(2). Let n be z/(-10) + -1*(-12)/15. Which is the nearest to 1/3? (a) n (b) 0.3 (c) -0.5 (d) -0.1
b
Let p be (4/(-26))/(-1) - (-252)/(-2821). Which is the nearest to p? (a) 0.3 (b) -4 (c) 2.3
a
Suppose -164 = 16*o - 52. Let t = o - -41. Let x be -1 + 1 + 4/t. What is the nearest to -0.05 in x, -0.5, 0?
0
Let w = 0.33 - 0.03. Let t = 21 - 18.33. Let g = t - 4.67. What is the nearest to g in 0.4, w, 4?
w
Let m = 17.1 + -17. Let q = 119 + -359/3. Let x = 0.34 - -0.06. What is the closest to q in 2/17, x, m?
m
Let f = 379 - 905. Let h = -525.7 - f. What is the closest to 10 in h, 2, -1, 0?
2
Let v = -488 + 487.71. Let q = 0.51 + -0.22. Let w = v + q. What is the nearest to w in 0, -1, 1/9?
0
Let d = 9676 - 9676.17. What is the closest to -4/3 in d, 0.3, -1/4?
-1/4
Suppose -5*t - 255 = -3*n - n, 4*n = -5*t + 265. Let r = -57 + n. Suppose 24*q - 20*q + r = 0. Which is the closest to q? (a) -1/3 (b) -2 (c) -15
b
Let r be 1478/(-12) - (-805)/690. What is the nearest to 0.1 in 8, r, -2?
-2
Let x = 217.9 + -217.6. Let h = -236 + 143. What is the closest to 1 in -5, h, 0.5, x?
0.5
Let v = -6487 + 51899/8. Which is the closest to 0? (a) 4/7 (b) v (c) -0.1 (d) 4
c
Let t = -59.92 - 490.98. Let z = t - -551. Which is the nearest to -0.9? (a) z (b) -1 (c) 3 (d) -0.4
b
Let m be -1 + (-454)/(-57) + -7. Let x = 78 + -78.4. Which is the nearest to 1? (a) 0.4 (b) m (c) x
a
Let f = 0.1 - -0.1. Let x be (-20290)/(-47180) + 21/(-49). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
t replacement from oorooororroro. Give prob of picking 4 r.
1/143
Three letters picked without replacement from nvnvvvesnxevvnvvvv. Give prob of picking 3 n.
1/204
What is prob of picking 2 q when two letters picked without replacement from qqqrmmi?
1/7
What is prob of picking 1 h and 2 f when three letters picked without replacement from {h: 1, s: 4, f: 3, c: 2}?
1/40
Four letters picked without replacement from hcchchwwh. Give prob of picking 4 h.
1/126
What is prob of picking 3 r when three letters picked without replacement from {r: 11, o: 1}?
3/4
What is prob of picking 1 a and 1 l when two letters picked without replacement from {a: 1, l: 12}?
2/13
What is prob of picking 2 m when two letters picked without replacement from {a: 4, x: 7, m: 6, q: 1}?
5/51
What is prob of picking 2 y when two letters picked without replacement from yjyjyyjyjyjjj?
5/26
Calculate prob of picking 1 x and 2 f when three letters picked without replacement from ffjnfxdnfdnj.
3/110
Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {y: 1, x: 5, w: 5, z: 2, b: 5, g: 1}.
5/171
Three letters picked without replacement from {x: 2, t: 3, y: 4, o: 1}. Give prob of picking 1 y and 2 t.
1/10
Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {g: 2, s: 2}.
2/3
Calculate prob of picking 3 s when three letters picked without replacement from svssssssssss.
3/4
Calculate prob of picking 2 m when two letters picked without replacement from rmrmrrrmrmrrrmrrrr.
10/153
What is prob of picking 1 d and 1 o when two letters picked without replacement from dvzozcvo?
1/14
Two letters picked without replacement from aaaf. What is prob of picking 2 a?
1/2
Calculate prob of picking 1 p, 1 o, and 2 z when four letters picked without replacement from zppommpzzmgpppzpoozp.
16/323
What is prob of picking 1 t and 1 f when two letters picked without replacement from {d: 2, t: 1, f: 2}?
1/5
What is prob of picking 4 c when four letters picked without replacement from tcxxtctttxtttxctcct?
5/3876
What is prob of picking 3 p when three letters picked without replacement from pgppgppgpggg?
1/11
Two letters picked without replacement from ozoozooszzzzozz. What is prob of picking 1 z and 1 o?
16/35
What is prob of picking 1 i, 1 k, and 1 c when three letters picked without replacement from {i: 2, k: 1, c: 1}?
1/2
Two letters picked without replacement from gkgbpgbbughg. Give prob of picking 1 p and 1 u.
1/66
What is prob of picking 1 x and 2 i when three letters picked without replacement from {x: 3, h: 5, i: 5}?
15/143
What is prob of picking 1 h and 2 l when three letters picked without replacement from lhnl?
1/4
Calculate prob of picking 2 g when two letters picked without replacement from {k: 1, w: 11, g: 2}.
1/91
Two letters picked without replacement from yereyyryyyy. Give prob of picking 2 e.
1/55
Calculate prob of picking 1 u and 2 k when three letters picked without replacement from luluulluluklukuluuuu.
11/1140
Calculate prob of picking 1 d and 1 o when two letters picked without replacement from hddyvoha.
1/14
Calculate prob of picking 2 y when two letters picked without replacement from vcwvaavayy.
1/45
Calculate prob of picking 1 v and 1 o when two letters picked without replacement from ovov.
2/3
What is prob of picking 1 o and 3 t when four letters picked without replacement from {t: 9, o: 1, q: 3, v: 1}?
12/143
Calculate prob of picking 1 c and 1 v when two letters picked without replacement from ccnnnccvncn.
1/11
Two letters picked without replacement from ubcccbucubbc. Give prob of picking 2 c.
5/33
What is prob of picking 1 e, 1 k, and 1 w when three letters picked without replacement from wwwwwkwkewe?
28/165
What is prob of picking 2 f and 1 e when three letters picked without replacement from {f: 2, e: 5}?
1/7
Four letters picked without replacement from {t: 4, g: 15}. What is prob of picking 3 g and 1 t?
455/969
Four letters picked without replacement from {n: 7, m: 12}. What is prob of picking 4 n?
35/3876
What is prob of picking 2 h and 1 m when three letters picked without replacement from {h: 1, m: 1, p: 2, n: 1}?
0
Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {r: 1, c: 4, l: 2, b: 4}.
2/55
Four letters picked without replacement from yyyyuyyuyuyuuy. What is prob of picking 2 y and 2 u?
360/1001
Three letters picked without replacement from {d: 2, n: 1, f: 4, z: 1}. Give prob of picking 1 z and 2 f.
3/28
Calculate prob of picking 1 i and 2 j when three letters picked without replacement from {y: 2, i: 4, j: 9, s: 1}.
9/35
Three letters picked without replacement from mmmmmmmmmmmmmmmmrmm. Give prob of picking 3 m.
16/19
Four letters picked without replacement from ebbbbjbbbbbebb. Give prob of picking 2 b and 2 e.
5/91
Calculate prob of picking 2 c when two letters picked without replacement from {c: 4}.
1
What is prob of picking 1 c, 1 a, and 1 f when three letters picked without replacement from clfiaii?
1/35
What is prob of picking 1 x, 1 k, and 2 q when four letters picked without replacement from xqnxqxqkxkh?
4/55
Four letters picked without replacement from uuuuuuucuuc. What is prob of picking 1 c and 3 u?
28/55
Calculate prob of picking 3 l and 1 j when four letters picked without replacement from lljlj.
2/5
Three letters picked without replacement from {i: 6, n: 8, p: 3, e: 2}. Give prob of picking 2 e and 1 i.
2/323
Two letters picked without replacement from {p: 2, b: 1, r: 5, e: 2, q: 5, y: 2}. Give prob of picking 1 r and 1 q.
25/136
Calculate prob of picking 2 c, 1 z, and 1 a when four letters picked without replacement from xxznxccnnxa.
1/330
Three letters picked without replacement from {o: 2, s: 4, y: 7, k: 1}. What is prob of picking 2 s and 1 k?
3/182
What is prob of picking 2 h when two letters picked without replacement from {d: 1, i: 3, o: 4, g: 1, h: 2}?
1/55
Four letters picked without replacement from {p: 7, x: 7}. What is prob of picking 4 x?
5/143
Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {d: 2, f: 1, t: 1, m: 1}.
1/5
Two letters picked without replacement from {w: 4}. Give prob of picking 2 w.
1
Calculate prob of picking 3 v and 1 j when four letters picked without replacement from jjvjjjjvjjvjvj.
40/1001
Four letters picked without replacement from {z: 4, x: 10}. Give prob of picking 1 z and 3 x.
480/1001
Calculate prob of picking 1 w, 2 i, and 1 x when four letters picked without replacement from {w: 7, v: 4, x: 1, i: 2, e: 4}.
7/3060
Calculate prob of picking 1 m and 1 p when two letters picked without replacement from mmmpmmmmppmmpmmmmmmm.
32/95
Four letters picked without replacement from adayyxlx. Give prob of picking 2 y, 1 d, and 1 a.
1/35
Two letters picked without replacement from {a: 2, q: 3, g: 2, r: 5
|
{
"pile_set_name": "DM Mathematics"
}
|
567?
p**2 - 890*p - 23
What is the n'th term of -2487, -2476, -2465, -2454, -2443?
11*n - 2498
What is the b'th term of 3670, 7360, 11054, 14752?
2*b**2 + 3684*b - 16
What is the a'th term of 280, 779, 1494, 2425?
108*a**2 + 175*a - 3
What is the x'th term of 1193, 1184, 1175, 1166, 1157, 1148?
-9*x + 1202
What is the h'th term of -2118, -4647, -7958, -12441, -18486, -26483, -36822, -49893?
-65*h**3 - h**2 - 2071*h + 19
What is the j'th term of -919, -7703, -26115, -61969, -121079, -209259, -332323, -496085?
-969*j**3 - j + 51
What is the s'th term of -3245, -6273, -9301, -12329?
-3028*s - 217
What is the q'th term of 222, 437, 652?
215*q + 7
What is the k'th term of 115, -120, -507, -1046, -1737, -2580, -3575?
-76*k**2 - 7*k + 198
What is the w'th term of -192753, -192751, -192747, -192741, -192733, -192723, -192711?
w**2 - w - 192753
What is the z'th term of 590, 633, 760, 1013, 1434, 2065?
7*z**3 - 6*z + 589
What is the i'th term of 8804, 17540, 26276, 35012, 43748?
8736*i + 68
What is the f'th term of -79803, -79805, -79807?
-2*f - 79801
What is the v'th term of 20680, 20684, 20686, 20686, 20684, 20680?
-v**2 + 7*v + 20674
What is the y'th term of 9268, 9236, 9204?
-32*y + 9300
What is the c'th term of 7636, 15294, 22952?
7658*c - 22
What is the d'th term of 847, 568, 103, -548?
-93*d**2 + 940
What is the r'th term of 65, 4, -169, -508, -1067, -1900, -3061, -4604?
-9*r**3 - 2*r**2 + 8*r + 68
What is the g'th term of -612, -1224, -1840, -2460?
-2*g**2 - 606*g - 4
What is the t'th term of 19194, 38393, 57592, 76791, 95990?
19199*t - 5
What is the u'th term of -8485, -16972, -25459, -33946, -42433, -50920?
-8487*u + 2
What is the c'th term of -246, -682, -1108, -1518, -1906?
c**3 - c**2 - 440*c + 194
What is the j'th term of -2972, -5955, -8942, -11933, -14928, -17927?
-2*j**2 - 2977*j + 7
What is the v'th term of 3001, 3204, 3411, 3622, 3837, 4056?
2*v**2 + 197*v + 2802
What is the t'th term of 180, 175, 186, 219, 280?
t**3 + 2*t**2 - 18*t + 195
What is the l'th term of 287, 343, 349, 281, 115, -173, -607, -1211?
-4*l**3 - l**2 + 87*l + 205
What is the f'th term of -40, -29, -22, -19, -20, -25, -34?
-2*f**2 + 17*f - 55
What is the x'th term of -3955, -6691, -9427, -12163, -14899, -17635?
-2736*x - 1219
What is the f'th term of 142126, 142124, 142122?
-2*f + 142128
What is the z'th term of 320, 298, 276?
-22*z + 342
What is the n'th term of -42, -134, -224, -312, -398, -482?
n**2 - 95*n + 52
What is the j'th term of -47, -131, -313, -593?
-49*j**2 + 63*j - 61
What is the w'th term of 19, 25, 23, 19, 19, 29, 55, 103?
w**3 - 10*w**2 + 29*w - 1
What is the x'th term of 2291, 2227, 2163, 2099?
-64*x + 2355
What is the b'th term of 217, 624, 1231, 2038, 3045, 4252, 5659?
100*b**2 + 107*b + 10
What is the b'th term of 6676, 6671, 6662, 6649, 6632, 6611, 6586?
-2*b**2 + b + 6677
What is the t'th term of 432, 868, 1308, 1752?
2*t**2 + 430*t
What is the l'th term of 125832, 251678, 377538, 503418, 629324, 755262, 881238?
l**3 + l**2 + 125836*l - 6
What is the m'th term of -630416, -1260830, -1891244?
-630414*m - 2
What is the t'th term of -502, -552, -696, -982, -1458?
-8*t**3 + t**2 + 3*t - 498
What is the k'th term of 112, 109, 110, 121, 148?
k**3 - 4*k**2 + 2*k + 113
What is the d'th term of -197, -117, 105, 541, 1263, 2343, 3853?
12*d**3 - d**2 - d - 207
What is the p'th term of 2655, 10647, 23961, 42591, 66531, 95775?
-p**3 + 2667*p**2 - 2*p - 9
What is the j'th term of 157, 101, 7, -119, -271?
j**3 - 25*j**2 + 12*j + 169
What is the m'th term of -368, -920, -1620, -2468?
-74*m**2 - 330*m + 36
What is the y'th term of -7701, -15394, -23087, -30780, -38473, -46166?
-7693*y - 8
What is the h'th term of -4100, -3889, -3678, -3467?
211*h - 4311
What is the t'th term of -161, -651, -1469, -2615, -4089, -5891, -8021?
-164*t**2 + 2*t + 1
What is the k'th term of 347, 336, 319, 296, 267, 232?
-3*k**2 - 2*k + 352
What is the h'th term of 188, 417, 688, 1001, 1356?
21*h**2 + 166*h + 1
What is the j'th term of 596, 651, 742, 869, 1032?
18*j**2 + j + 577
What is the v'th term of -123, -206, -289, -372, -455, -538?
-83*v - 40
What is the l'th term of -2403223, -2403224, -2403227, -2403232?
-l**2 + 2*l - 2403224
What is the r'th term of 139, 270, 413, 574, 759, 974, 1225, 1518?
r
|
{
"pile_set_name": "DM Mathematics"
}
|
1.4 + 1101.4. Is 0 bigger than c?
False
Suppose -2*j - 3*j = 5*r + 130, 0 = 4*j - 2*r + 104. Suppose -d - 2*g = -0*d + 15, 12 = -d + g. Let t be 13/j + d/2. Which is smaller: -9 or t?
-9
Let w be (3 + (-7 - -4))/(5 - (1 + 3)). Is w >= 18/173?
False
Let o = -39 + 36.64. Let t = o - 100.64. Let r = 115 + t. Which is bigger: r or 4/5?
r
Let r = 2669 + -2639. Which is bigger: -0.7 or r?
r
Let c = -1/56900 + 12695813/28450. Let b = c + -443. Which is greater: b or -1?
b
Suppose 2*u + 2 = h, u + 4 = -5*h + 4*u. Let p be (51/2*(-24)/(-18))/h. Let x = 285/17 + p. Which is smaller: x or -0.1?
x
Let a be 1 + (4/2 - 3). Let w = -2/2545 - -8597024/17815. Let q = 483 - w. Which is smaller: q or a?
a
Suppose 0 = -5*l + 3*i - 1136 + 1235, -2*i = -3*l + 58. Suppose -3*h + 87 = 3*w, w - 2*h - 17 = 3*h. Do w and l have different values?
True
Suppose 5*n = 11*k - 6*k + 75, 3*n = 4*k + 44. Let l = n - 17. Is -4/39 greater than l?
True
Let t be -18 + -38 + 7 + 8. Let f(q) = -2*q**2 + 3*q + 2. Let o be f(-4). Which is smaller: t or o?
o
Suppose 0 = -3*a + a + 4. Let g be a/(-164)*24/8. Is g not equal to -1?
True
Let b(w) = -w**3 - 6*w**2 - 3*w + 13. Let c be b(-7). Let p = c - 82. Let u be p/(-3) - 779/(-627). Which is smaller: 1 or u?
u
Let z = 0 - -1. Let x be (3 - 27)/(5 + 20/(-5)). Let d be (-1)/12*(x + 14). Which is greater: z or d?
z
Let d be (-6 - -20)*3/126. Is -7306 at least as big as d?
False
Let u = -3 - -6. Suppose 5*h = -u*l + 216 - 31, -4*h = -5*l - 185. Let a be h/15*(-10 + 0 + 1). Is -25 > a?
False
Let g be 12 + -4 + (6 - (15 + -4)). Let p be 30/4*(-2)/(-3). Suppose -1 + 4 = -d + t, 11 = -p*d + g*t. Is d >= -1/5?
False
Suppose -4*j - 15972 = -5*c + 2342, -2*j = -5*c + 18322. Let n = 51285/14 - c. Do n and -4 have the same value?
False
Let a(j) = -4*j - 5. Let c be a(-4). Suppose -c*s + 15*s - 432 = 0. Suppose 0 = -11*x + 17*x + s. Which is smaller: -17 or x?
x
Let i = 4823 - 4717. Is i < 119?
True
Suppose 0 = -29*u + 7101 - 7130. Which is smaller: u or 3953?
u
Suppose -x - 13*b = 283, 4*x + 50*b = 54*b - 1076. Is x at most -276?
False
Let q be ((-2706)/(-55))/(15/125). Let l = -577 + q. Is l at least 0.1?
False
Let l be (-2)/(-6) - 2/6. Let z be (-85 - 0) + 4*(-3)/(-12). Let k be 0 + (1/17)/(42/z). Which is smaller: l or k?
k
Let m(k) = -k**3 + 3*k**2 - 4*k - 3. Let a be m(-4). Let p = -8397 - -8521. Is p greater than or equal to a?
False
Let r = -128931/14 + 9209. Is r != 0.1?
True
Let l = -668.42 - -667.8. Which is smaller: 73 or l?
l
Let o(g) = 2*g - 33. Let u be o(18). Let n(c) = -21 - 14 + 56*c + u - 54*c. Let f be n(18). Which is greater: f or 1?
f
Let t = 2334 - 2333. Is -74 less than t?
True
Suppose 20476 + 9468 = 19*o - 38*o. Which is smaller: -1572 or o?
o
Let j = -829 + 1274. Suppose -4*y + j = y. Which is smaller: y or 91?
y
Let r be -4 - (935/(-10) + 6). Let g = r - 83. Which is smaller: g or 18?
g
Let r = 7 + -58. Let m = -54 - r. Let f be ((-470)/144 - 0) + 177/472. Is m bigger than f?
False
Let r = -16.441 + 17.06. Which is greater: 0 or r?
r
Suppose -16*t - 37*t - 59 = 6*t. Is t less than or equal to 3/2177?
True
Let y = -59 + 59. Suppose n = -5*q + 24, -3*q + y*q + 13 = 2*n. Let b be 155/20 - n/4. Do b and 9 have the same value?
False
Let j(u) = -u**2 - 15*u - 34. Let x be j(-8). Suppose x*l + 17 = 21*l + 3*c, 2*l - 4*c + 40 = 0. Is l < 1/3?
True
Let l = -22912 + 22874. Is -106 greater than l?
False
Suppose 331 = 3*h + 313, 0 = -l - 3*h - 7. Which is bigger: -243/10 or l?
-243/10
Suppose -18 = 5*n - 18. Suppose n = -3*h + h. Suppose 4 = i - 4*f - h, 5*f = -i - 5. Is 0.01 greater than i?
True
Let z = 15580 - 171575/11. Let t be 69/276 + (1 - (-4183)/(-220)). Let v = z - t. Which is bigger: v or -1?
v
Let o(w) be the second derivative of w**5/20 + 3*w**4/4 + 3*w**3/2 - w**2/2 + 28*w. Let p be o(-8). Let i(d) = -2*d + 19. Let a be i(p). Is 38 <= a?
False
Let m(y) = 5*y - 35. Let h(n) = -3*n + 18. Let r(i) = 5*h(i) + 2*m(i). Let b be r(3). Suppose -p + 2*c = -8, 3*p - 2*c - b = 3. Is p != 1/45?
True
Let v(c) = -4*c + 198. Let f be v(46). Which is greater: 134 or f?
134
Let x(b) = 3*b + 7. Let f be x(5). Let r be f + (0 - 0)/(-1). Let g be (6/3 - (-2 + 16 - -11))/(-1). Which is smaller: r or g?
r
Suppose 3*v + 0*v = 54. Let z = v + -8. Let h be 76/z + (-15)/25. Is h greater than or equal to 6?
True
Let v = -12407 + 8211. Which is greater: -8389/2 or v?
-8389/2
Let g(d) = 4*d**2 - 5*d - 1. Let r be g(4). Suppose z - r + 18 = t, 0 = -4*z -
|
{
"pile_set_name": "DM Mathematics"
}
|
b of sequence ava when three letters picked without replacement from ava.
1/3
Calculate prob of sequence mm when two letters picked without replacement from {m: 6, s: 2}.
15/28
What is prob of sequence scs when three letters picked without replacement from ccszszsczccszzcccs?
5/153
What is prob of sequence uxux when four letters picked without replacement from xxxuxuxxx?
1/36
Two letters picked without replacement from {s: 5, t: 1, p: 2, n: 5, j: 1, k: 1}. What is prob of sequence js?
1/42
Calculate prob of sequence wqwc when four letters picked without replacement from {w: 2, c: 13, q: 3}.
13/12240
Calculate prob of sequence zc when two letters picked without replacement from {w: 3, c: 3, f: 5, z: 2, e: 2}.
1/35
Calculate prob of sequence zry when three letters picked without replacement from {r: 10, w: 1, y: 1, z: 2, h: 3}.
1/204
Two letters picked without replacement from gqekkeeeekgggkq. What is prob of sequence kg?
8/105
Three letters picked without replacement from ppbzbhbpzzpkpbp. Give prob of sequence zhp.
3/455
Two letters picked without replacement from oooooolooookkol. Give prob of sequence lo.
11/105
Calculate prob of sequence pcpc when four letters picked without replacement from {p: 5, c: 7}.
7/99
Calculate prob of sequence je when two letters picked without replacement from {j: 6, h: 4, l: 2, e: 1}.
1/26
Calculate prob of sequence igp when three letters picked without replacement from {p: 5, g: 4, e: 1, i: 1}.
2/99
What is prob of sequence ss when two letters picked without replacement from {f: 2, x: 2, s: 7}?
21/55
Calculate prob of sequence fff when three letters picked without replacement from dddfdddddddddddffd.
1/816
What is prob of sequence yyy when three letters picked without replacement from iyfaqfyqafahfhyh?
1/560
Two letters picked without replacement from {d: 1, r: 5, c: 1, i: 2, v: 3}. Give prob of sequence di.
1/66
What is prob of sequence zyhy when four letters picked without replacement from yzyzzzzzyhzhyz?
8/1001
Four letters picked without replacement from mlllbmllblcblllbmc. Give prob of sequence lcmm.
1/680
Calculate prob of sequence iav when three letters picked without replacement from uuhuaauivahahhah.
1/672
Calculate prob of sequence fj when two letters picked without replacement from lhqjhhhlhqjcf.
1/78
Three letters picked without replacement from {u: 3, l: 1, s: 2, t: 4, h: 1}. Give prob of sequence tht.
2/165
Calculate prob of sequence eyfp when four letters picked without replacement from {f: 3, l: 1, y: 2, p: 2, e: 1, g: 3}.
1/990
Four letters picked without replacement from ggggomgmm. Give prob of sequence mgmm.
5/504
Three letters picked without replacement from {m: 1, n: 8, b: 6}. Give prob of sequence bmn.
8/455
Two letters picked without replacement from uliiliuhihhuuhuqu. Give prob of sequence qu.
3/136
What is prob of sequence ps when two letters picked without replacement from ssppp?
3/10
What is prob of sequence hv when two letters picked without replacement from {h: 2, v: 2}?
1/3
Calculate prob of sequence oo when two letters picked without replacement from ommommm.
1/21
Two letters picked without replacement from {t: 3, b: 1, s: 1, g: 1, x: 1, d: 5}. What is prob of sequence db?
5/132
Four letters picked without replacement from saos. What is prob of sequence saso?
1/12
What is prob of sequence pnn when three letters picked without replacement from nnpnpn?
1/5
Three letters picked without replacement from ggggmgmggmmmgggg. Give prob of sequence mgg.
55/336
Three letters picked without replacement from {k: 1, w: 2, m: 9, r: 7}. Give prob of sequence mrm.
28/323
Calculate prob of sequence oitt when four letters picked without replacement from {o: 8, i: 1, t: 9, c: 2}.
8/1615
Two letters picked without replacement from vvvyyyyvyy. Give prob of sequence yv.
4/15
Three letters picked without replacement from ysfsybjfi. Give prob of sequence yss.
1/126
What is prob of sequence ykfi when four letters picked without replacement from {f: 1, y: 1, i: 3, s: 1, k: 1}?
1/280
What is prob of sequence jjjj when four letters picked without replacement from jjjjjjjjj?
1
Four letters picked without replacement from {a: 5, o: 4, p: 1, h: 3, y: 1, c: 4}. What is prob of sequence hcyc?
1/2040
What is prob of sequence xur when three letters picked without replacement from rxuux?
1/15
Two letters picked without replacement from {d: 4, w: 1, c: 1, x: 5, u: 5}. What is prob of sequence ux?
5/48
Two letters picked without replacement from tjgcptg. What is prob of sequence gt?
2/21
What is prob of sequence uru when three letters picked without replacement from uuururrruuru?
7/44
What is prob of sequence wuue when four letters picked without replacement from {l: 4, u: 3, w: 2, e: 6}?
1/455
Calculate prob of sequence ww when two letters picked without replacement from exxxewx.
0
Four letters picked without replacement from ftdfgaddtdftd. What is prob of sequence tgat?
1/2860
Three letters picked without replacement from {q: 4, h: 2, x: 4}. What is prob of sequence qxq?
1/15
Calculate prob of sequence tb when two letters picked without replacement from {o: 2, l: 2, t: 1, b: 1}.
1/30
Calculate prob of sequence mhz when three letters picked without replacement from zmnhmnv.
1/105
Calculate prob of sequence kks when three letters picked without replacement from ssussskuusususksssss.
13/3420
Calculate prob of sequence ye when two letters picked without replacement from shmhmhyhyhsyyen.
2/105
Calculate prob of sequence dq when two letters picked without replacement from {e: 1, i: 5, d: 2, o: 1, q: 2, v: 5}.
1/60
Four letters picked without replacement from xjjxhqxxjqqjjqqjhj. Give prob of sequence hqhq.
1/1836
What is prob of sequence lllu when four letters picked without replacement from lllluu?
2/15
What is prob of sequence qwoq when four letters picked without replacement from {o: 1, b: 6, y: 2, v: 1, w: 2, q: 7}?
7/7752
Four letters picked without replacement from ddwwwrdrdrrwrwdrrwd. What is prob of sequence ddwr?
35/2584
Two letters picked without replacement from iriflrxsifxs. Give prob of sequence xl.
1/66
What is prob of sequence dr when two letters picked without replacement from {v: 1, d: 1, w: 1, r: 1, g: 1}?
1/20
Calculate prob of sequence eddn when four letters picked without replacement from deeddneleed.
1/132
Calculate prob of sequence ww when two letters picked without replacement from {n: 1, w: 2}.
1/3
What is prob of sequence nh when two letters picked without replacement from {h: 2, z: 1, n: 2, f: 1, t: 1}?
2/21
Three letters picked without replacement from mbbbbmbmbmmm. Give prob of sequence bmb.
3/22
Calculate prob of sequence qjwq when four letters picked without replacement from {q: 2, y: 2, j: 7, w: 1}.
7/5940
Four letters picked without replacement from nxnjnnxjjp. What is prob of sequence pjxx?
1/840
Three letters picked without
|
{
"pile_set_name": "DM Mathematics"
}
|
et c = 0.5 - 0.8. Let a = c - -0.1. What is the biggest value in -0.4, -0.05, a?
-0.05
Let a = -0.24 - -0.74. What is the third smallest value in 0.4, a, 3/5?
3/5
Let z = -11.85 - 0.15. Let v = z - -8. Let k be 11/15 + (-13)/39. Which is the second biggest value? (a) 2 (b) v (c) k
c
Let w = -0.1 + 0.4. Let p = -14 + 12. Let j be p - (-2)/((-6)/(-7)). What is the smallest value in w, j, -2/13?
-2/13
Let x be (30/9 - 3)*(-4 - -3). What is the second smallest value in -2, x, 3/2?
x
Let i = 19.6 + -20. Which is the second smallest value? (a) 2/15 (b) i (c) -3/2
b
Let l = -151 + 150.9. What is the biggest value in 3, l, -2/5, 4?
4
Let h = 0.3 + -5.3. Let w = 1.7 + -3.7. What is the second smallest value in 5, h, w?
w
Let y = -2 + -2. Let d = y - -2. Let c = -0.7 - -0.5. What is the third smallest value in d, -3/4, c?
c
Let f be 94/88 - (-14)/77. Which is the third smallest value? (a) 2 (b) 1 (c) f
a
Let g be 5/(-2) + (4 - 2). What is the second smallest value in -0.3, 0.1, g?
-0.3
Let o = -117.5 + 118. Let m = -0.1 - 0.1. Which is the biggest value? (a) 0.3 (b) o (c) m
b
Let j = -1057/5 - -211. Let d be 68/(-48) - 4/(-6). Which is the third smallest value? (a) -0.1 (b) d (c) j
a
Let a = -12 + 12.5. What is the third biggest value in -5, a, -1?
-5
Let k = -29 + 29.1. Which is the smallest value? (a) k (b) 0.04 (c) 0.4
b
Let k = 1 + 0. Let t = -34.9 - -35. What is the biggest value in k, t, 2?
2
Let u = -0.33 + 0.3. Let o = -150 - -149.03. Let i = o + u. Which is the third smallest value? (a) -0.4 (b) i (c) 0.1
c
Let s be (-100)/(-110) + (0 - 1). What is the second biggest value in s, -2/5, 16?
s
Let r(v) = -2*v + 6. Let a(k) = k**2 + 3*k - 5. Let z be a(-5). Let j be r(z). What is the smallest value in -3, j, 0.5?
j
Let z = -6 + 10. Let w = -4 + 3.9. Let m = 0.1 + w. What is the third biggest value in -2, m, z?
-2
Let q be 3/((-15)/13) - -2. Suppose 0 = -2*l + 10 - 2. Suppose 0 = 3*r - 13 + l. Which is the biggest value? (a) r (b) q (c) 1
a
Let k be ((-3)/(-8))/((-6)/12). Which is the third smallest value? (a) -6 (b) k (c) -5
b
Let b = 0.3 - -2.7. Let f = 35 + -39. What is the third smallest value in b, -0.05, f?
b
Let x = 71/14 + -18/7. Let b = -6 + 3. What is the smallest value in x, -3/4, b?
b
Let d = -256/393 - 2/131. Let w = 5011 + -35587/7. Let k = 73 + w. What is the second smallest value in 0.1, d, k?
0.1
Suppose 15*n - 11*n - 20 = 0. Which is the smallest value? (a) 2/3 (b) 6/5 (c) 0.3 (d) n
c
Let y(i) = -2*i - 5. Let h be y(-4). Which is the second smallest value? (a) 0.02 (b) h (c) 0.2
c
Let a = -16 - -17. What is the biggest value in 0.2, a, -1/6?
a
Let n = 4.1 + -3.7. Which is the fourth biggest value? (a) 0 (b) 2 (c) -4/7 (d) n
c
Let h = 12 + -7. Suppose -5*d + 35 + 0 = h*u, -5*d = -5*u + 5. Suppose 0*j = u*j. Which is the biggest value? (a) 1/4 (b) -3 (c) j
a
Let g = -0.5 - -3.5. Let h be 375/(-35) - 2/7. Let n = h + 8. Which is the smallest value? (a) n (b) g (c) -0.5
a
Let s = 0 + 2.4. Let l = 5 - 7. Let i = l + s. What is the biggest value in -4, i, 1/5?
i
Let o(p) = -p**3 + 4*p + 1. Let z be o(0). What is the smallest value in 2, z, 0.09?
0.09
Let t be (-42)/(-10)*2/18. Let i = -3/10 + t. Which is the smallest value? (a) i (b) 0.5 (c) -1/2
c
Let u = 9/8 + 3/8. What is the third smallest value in -3, 1/11, u, -1?
1/11
Suppose -5*l - 28 = 17. Let t = l - -7. Suppose 8 = -3*y - 1. What is the third smallest value in y, t, 0?
0
Let q = -6.85 - -7. Let c = q + 0.05. What is the smallest value in c, 4/9, -2?
-2
Let w = -3.88 - -0.88. Which is the smallest value? (a) 1 (b) 13/3 (c) w
c
Suppose -3*u + 10 = -4*s, 2*s + 3*u + 8 = -6. Which is the second smallest value? (a) -0.07 (b) s (c) -2/3 (d) -1
d
Let w = 31/12 - 13/4. Let d = -3.71 - 0.29. Which is the smallest value? (a) 0.2 (b) w (c) d
c
Let s be (2/(-9))/(5/15). Let d = -0.2 + 0.7. Which is the smallest value? (a) d (b) -5 (c) s
b
Let p be 2/(-3) - ((-64)/(-12))/(-2). Suppose -3*f = -2*f. What is the third smallest value in p, f, -5?
p
Let x = 5.4 + -5.1. Which is the second biggest value? (a) 2 (b) 6 (c) x
a
Let l = -0.33 + 0.03. What is the second smallest value in -3, -1/7, l?
l
Let z = 4 - 7. Let u = 0.26 - -0.24. Which is the third smallest value? (a) u (b) z (c) -2/9
a
Let g be 2 + (1*(-3)/3 - -2). What is the fourth biggest value in 5, -0.2, -0.4, g?
-0.4
Suppose 5*z - 5 = 5*d,
|
{
"pile_set_name": "DM Mathematics"
}
|
0.6, 0?
0.6
Which is the nearest to 1? (a) 2/3 (b) -411/161 (c) 620
a
What is the closest to 1/3 in 0.042489, 0.4, -318?
0.4
What is the nearest to 1/7 in -3, 2/9, 96715?
2/9
What is the nearest to -2 in 506, -1.2, 54/7?
-1.2
Which is the nearest to -0.5? (a) -0.071 (b) 1/4 (c) -2709/79
a
Which is the closest to 3? (a) 2/3 (b) 5 (c) 90 (d) -0.5 (e) -0.069 (f) -539
b
Which is the closest to 11? (a) 544 (b) -1.3 (c) 2/5 (d) 5 (e) -0.3
d
Which is the nearest to -1/2? (a) 25890 (b) 152 (c) -16
c
What is the nearest to -2/5245 in 4, -0.009, -1/2?
-0.009
Which is the nearest to -12? (a) 230050 (b) -5 (c) 3/7 (d) -2
b
Which is the nearest to 171? (a) 20 (b) -0.6 (c) 1 (d) -6
a
What is the nearest to -5/4 in 0, 4, -0.05, 0.1, 1087?
-0.05
Which is the closest to -64/9? (a) -435 (b) -2/3 (c) -1/5 (d) -2/5
b
Which is the closest to -0.2? (a) 1 (b) -0.2 (c) 4/25 (d) -515
b
Which is the closest to -1? (a) -2904 (b) 0 (c) -5 (d) -2/11 (e) 0.16
d
What is the closest to 3/4 in -2, -0.61, 0, -19, 0.7?
0.7
What is the nearest to -1 in -8, -1, -5/4, -50453, -5/2, -0.01?
-1
Which is the nearest to 1? (a) 5 (b) -635833 (c) -4
a
Which is the nearest to 28/69? (a) -2/13 (b) -1/2 (c) 0.1 (d) 0.21
d
What is the nearest to 1.1 in -1, 13, 1143?
-1
What is the nearest to 7173 in 0.2, 2, 172?
172
What is the closest to 2/45 in -72428, -11/9, 1?
1
What is the nearest to -4.1 in -8351, -2, 2/11, -1/7?
-2
Which is the nearest to 1/2? (a) -4 (b) -2/47 (c) 0.1 (d) -0.2 (e) 340
c
What is the nearest to -0.4 in 298, -925, 5?
5
Which is the nearest to 192? (a) -0.2 (b) -1 (c) -2 (d) -1015
a
Which is the closest to -0.013637? (a) 38 (b) -5 (c) 5
b
What is the nearest to -2.5 in -12/3211, -1.5, -2/5?
-1.5
What is the nearest to 2/3 in -3/5, -0.1, 0.2, 20228, 69?
0.2
What is the nearest to 19 in 4, -21694, -18, -1, 3, 0?
4
Which is the nearest to -1? (a) 3 (b) -910 (c) -0.11 (d) 1312 (e) 0
c
Which is the closest to 1? (a) 37.86 (b) -25 (c) -2/27
c
Which is the nearest to -3? (a) 5 (b) -0.4 (c) -1/7 (d) -1/526 (e) 68 (f) 0.3
b
What is the nearest to -95 in 1/5, -0.066, -17/4, -27?
-27
Which is the nearest to 0? (a) -2 (b) 5 (c) -340 (d) -2/5 (e) 2/2171
e
Which is the nearest to -0.3? (a) 0.1 (b) 259 (c) 50/9 (d) -60
a
Which is the closest to 1? (a) 0.05 (b) -7.069 (c) -0.1 (d) 41 (e) -3
a
Which is the closest to -1/4? (a) 5 (b) -6 (c) 1/4 (d) -2 (e) -58
c
What is the nearest to 4.8 in 1/6, -3, 1/11, 0.2, 0.7, 0.048?
0.7
What is the closest to 1 in 5, -45, 0, -25, 50.4?
0
What is the nearest to -1/2 in -2/3, 321, 2, 479, 7/6?
-2/3
Which is the closest to -1/2? (a) -4 (b) -4/11 (c) 0 (d) 49/10
b
Which is the closest to 3/5? (a) -0.426 (b) 1.3354 (c) -3
b
Which is the closest to -10? (a) -3201 (b) -1 (c) 2/11 (d) 2/5 (e) 0.1 (f) -0.1
b
What is the closest to 71.2 in 0.237, 242, 1/7?
0.237
Which is the nearest to -24? (a) -1 (b) -15/4 (c) -10 (d) -8 (e) 0.3
c
What is the nearest to -226 in -2/3, -865, 0.4?
-2/3
Which is the closest to 27382? (a) 3 (b) 2/63 (c) 1/4 (d) 2/5 (e) -0.5
a
Which is the closest to 0.2? (a) -13 (b) 513 (c) 0.7 (d) -14 (e) -1
c
What is the closest to -1/2 in -85, 0.13, -3, -1/5, -176?
-1/5
Which is the nearest to 0.07? (a) -2/1721 (b) 36 (c) 0.4
a
Which is the closest to -7891? (a) 657.2 (b) 3 (c) -0.1
c
What is the closest to 0.3 in 0.06, -2523, 26/5, -1?
0.06
What is the nearest to 1 in -1/5, -156631, 2?
2
What is the nearest to 0 in -0.2, -168.1, 2/3, 5, -1?
-0.2
What is the nearest to 1/3 in -2, 889/33, 2/5?
2/5
What is the closest to 2/5 in -91, 0, -2/5, 4, -2?
0
What is the nearest to -0.1 in -0.4, -0.3, -3338280, -2/3?
-0.3
Which is the closest to -6.691? (a) -1.2 (b) -8 (c) 0.1 (d) -2
b
Which is the closest to -36/163? (a) -2/7 (b) 1
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the z'th term of 5, -48, -141, -280, -471, -720, -1033?
-z**3 - 14*z**2 - 4*z + 24
What is the k'th term of 96, 203, 322, 459, 620, 811, 1038?
k**3 + 100*k - 5
What is the f'th term of -154, -175, -196, -217?
-21*f - 133
What is the i'th term of 58, 67, 70, 61, 34, -17?
-i**3 + 3*i**2 + 7*i + 49
What is the l'th term of 227, 452, 677?
225*l + 2
What is the b'th term of -199, -189, -177, -163, -147, -129, -109?
b**2 + 7*b - 207
What is the a'th term of 40, 43, 48, 55, 64?
a**2 + 39
What is the c'th term of 7, 18, 21, 10, -21?
-c**3 + 2*c**2 + 12*c - 6
What is the v'th term of 229, 218, 193, 148, 77, -26, -167, -352?
-v**3 - v**2 - v + 232
What is the t'th term of -6, 8, 34, 72, 122, 184?
6*t**2 - 4*t - 8
What is the g'th term of -139, -109, -67, -7, 77, 191, 341, 533?
g**3 + 23*g - 163
What is the t'th term of 45, 76, 95, 102, 97, 80?
-6*t**2 + 49*t + 2
What is the a'th term of -2198, -2199, -2200, -2201, -2202?
-a - 2197
What is the b'th term of 23, 37, 51?
14*b + 9
What is the h'th term of 24, 70, 116?
46*h - 22
What is the d'th term of 18, 47, 98, 171, 266?
11*d**2 - 4*d + 11
What is the w'th term of 139, 136, 133?
-3*w + 142
What is the o'th term of 22, 58, 114, 196, 310, 462, 658, 904?
o**3 + 4*o**2 + 17*o
What is the k'th term of -17, 79, 175, 271, 367?
96*k - 113
What is the o'th term of -16236, -16237, -16238?
-o - 16235
What is the y'th term of 93, 72, 51, 30, 9, -12?
-21*y + 114
What is the g'th term of -10, -32, -64, -106, -158, -220?
-5*g**2 - 7*g + 2
What is the i'th term of -40, -56, -74, -100, -140?
-i**3 + 5*i**2 - 24*i - 20
What is the g'th term of 14, 9, 4?
-5*g + 19
What is the c'th term of -64, -99, -166, -271, -420, -619?
-c**3 - 10*c**2 + 2*c - 55
What is the k'th term of 167, 124, 75, 14, -65?
-k**3 + 3*k**2 - 45*k + 210
What is the q'th term of 68, 75, 86, 101, 120?
2*q**2 + q + 65
What is the m'th term of 832, 1666, 2500, 3334, 4168, 5002?
834*m - 2
What is the p'th term of -842, -840, -838?
2*p - 844
What is the q'th term of -39, -124, -271, -486, -775, -1144, -1599?
-q**3 - 25*q**2 - 3*q - 10
What is the d'th term of 952, 1912, 2872, 3832, 4792, 5752?
960*d - 8
What is the f'th term of 7732, 7733, 7734, 7735, 7736, 7737?
f + 7731
What is the j'th term of -22, -33, -50, -73, -102?
-3*j**2 - 2*j - 17
What is the k'th term of 248, 977, 2182, 3857, 5996?
-k**3 + 244*k**2 + 4*k + 1
What is the h'th term of -37, -77, -117, -157, -197, -237?
-40*h + 3
What is the p'th term of 82, 164, 244, 322, 398?
-p**2 + 85*p - 2
What is the j'th term of 212, 393, 574?
181*j + 31
What is the k'th term of -5, 2, 15, 34, 59, 90?
3*k**2 - 2*k - 6
What is the f'th term of -3, -18, -43, -78, -123, -178, -243?
-5*f**2 + 2
What is the z'th term of -97, -146, -231, -352?
-18*z**2 + 5*z - 84
What is the z'th term of 64, 117, 172, 235, 312, 409, 532, 687?
z**3 - 5*z**2 + 61*z + 7
What is the t'th term of -12, -16, -30, -60, -112, -192, -306, -460?
-t**3 + t**2 - 12
What is the s'th term of 462, 1843, 4146, 7371?
461*s**2 - 2*s + 3
What is the v'th term of 42, 108, 176, 246?
v**2 + 63*v - 22
What is the o'th term of -10, -13, -10, 5, 38, 95, 182?
o**3 - 3*o**2 - o - 7
What is the h'th term of -95, -69, -13, 85, 237?
2*h**3 + 3*h**2 + 3*h - 103
What is the a'th term of -8, -39, -90, -161, -252, -363, -494?
-10*a**2 - a + 3
What is the c'th term of 143, 150, 167, 200, 255, 338, 455?
c**3 - c**2 + 3*c + 140
What is the w'th term of 42, 49, 66, 99, 154, 237?
w**3 - w**2 + 3*w + 39
What is the c'th term of -11, 12, 35, 58, 81?
23*c - 34
What is the i'th term of -21, -59, -97, -135, -173?
-38*i + 17
What is the x'th term of 7, 7, 13, 31, 67?
x**3 - 3*x**2 + 2*x + 7
What is the k'th term of 67, 84, 121, 184, 279, 412?
k**3 + 4*k**2 - 2*k + 64
What is the s'th term of -1065, -1075, -1097, -1137, -1201?
-s**3 - 3*s - 1061
What is the v'th term of 1, -96, -363, -884, -1743, -3024?
-14*v**3 - v**2 + 4*v + 12
What is the v'th term of -2645, -5290, -7935, -10580, -13225?
-2645*v
What is the w'th term of 10, 22, 34, 46?
12*w - 2
What is the f'th term of -29, -40, -67, -116, -193, -304?
-f**3 - 2*f**2 + 2*f - 28
What is the t'th term of -174, -171, -154, -117, -54, 41, 174, 351?
t**3 + t**2 - 7*t - 169
What is the a'th term of 347, 422, 499, 578?
a**2
|
{
"pile_set_name": "DM Mathematics"
}
|
= n**3 - 4*n + 4. Let i(a) = 3*h(a) + 4*s(a). Solve i(l) = 0.
-16, 0
Let i(u) be the first derivative of u**7/1680 - u**6/360 - u**5/80 + 68*u**3/3 - 89. Let b(m) be the third derivative of i(m). Determine f, given that b(f) = 0.
-1, 0, 3
Suppose 174*j - 791 = 79. Let y(d) be the first derivative of -1/15*d**j - 24 + 4/9*d**3 + 1/12*d**4 + 0*d - 2/3*d**2. Suppose y(v) = 0. Calculate v.
-2, 0, 1, 2
Let u(t) be the third derivative of -t**7/525 - 23*t**6/60 + 58*t**5/75 + 915*t**2. Determine l, given that u(l) = 0.
-116, 0, 1
Let y(o) = 17*o - 88. Let w be y(7). Solve -14*g - 6 - 13*g**2 + 58*g**2 + 4*g + w*g = 0 for g.
-2/3, 1/5
What is u in 3*u**4 - 5979*u**3 + 12*u**2 + u**4 + 5995*u**3 = 0?
-3, -1, 0
Let s(d) = -3*d**3 + d**2 + 2. Let n(o) = -2*o**3 + o**2 + 1. Let g(q) = -8*n(q) + 5*s(q). Let k be g(3). Factor c**2 + 3*c + 0*c**k + 38 - 19 - 17.
(c + 1)*(c + 2)
Let c(a) be the third derivative of -a**6/60 + 4*a**5/15 - 7*a**4/12 + 1138*a**2. Factor c(b).
-2*b*(b - 7)*(b - 1)
Let z = 422 - 410. Let r be (-265)/318 - (-34)/z. Factor 2/17*q**r - 2/17*q - 4/17.
2*(q - 2)*(q + 1)/17
Let z(c) be the third derivative of 13*c**6/12 - 127*c**5/12 - 1895*c**4/24 - 35*c**3 - 3*c**2 + 124*c + 3. Factor z(q).
5*(q - 7)*(q + 2)*(26*q + 3)
Let 47375/2*x - 15625 + 253/2*x**3 - 1/2*x**4 - 16377/2*x**2 = 0. Calculate x.
1, 2, 125
Solve -40804/3*i - 54540*i**2 - 539*i**3 - 4/3*i**4 + 0 = 0 for i.
-202, -1/4, 0
Suppose 4*t - 5*k + 10 = 0, k = -4*t + 19 + 7. Suppose 0 + 38/5*y**4 - 6/5*y**t - 8/5*y**2 - 56/5*y**3 + 32/5*y = 0. What is y?
-2/3, 0, 1, 2, 4
Suppose 9*s + 5 = 275. Suppose -61*p - s = -66*p. Solve 3162*g - 3192*g + p*g**2 + 19*g**2 = 0.
0, 6/5
Let m(p) be the first derivative of p**7/168 - p**5/16 + p**3/6 - 106*p + 32. Let z(f) be the first derivative of m(f). Find l, given that z(l) = 0.
-2, -1, 0, 1, 2
Let q(u) be the second derivative of u**6/120 - 3*u**5/40 - u**4/16 + 2*u**3/3 + 3*u**2/2 - 4936*u. Suppose q(s) = 0. Calculate s.
-1, 2, 6
Let -330/7 + 2973/7*t - 27/7*t**2 = 0. Calculate t.
1/9, 110
Let n = 832013 - 10816113/13. Factor n - 2/13*a**2 - 54/13*a.
-2*(a - 1)*(a + 28)/13
Let m(p) = -p**3 - 11*p**2 - 11*p + 8. Let s be m(-10). Suppose -3*n = 3*n - s. Factor -n*u**2 + u + 2*u**2 - 11*u - 25.
-(u + 5)**2
Let f(s) be the second derivative of -s**6/10 - 9*s**5/20 + 11*s**4/2 + 12*s**3 - 210*s. Suppose f(z) = 0. What is z?
-6, -1, 0, 4
Suppose -5*k - 7 = z, 5*z = -2*k - 2*k + 7. Factor -8*t**2 + t**2 + z*t**2 - 4 - 12*t - 4*t**2.
-4*(t + 1)*(2*t + 1)
Let k(w) = -w**2 - w. Let u(j) = -j - 2*j + 5*j + j + 1 + 5*j**2. Let y(b) = -9*k(b) - 2*u(b). Factor y(i).
-(i - 2)*(i - 1)
Let n be (1*2/10)/((-770)/(-2200)). Find r, given that 1/7*r**2 + 3/7*r - n = 0.
-4, 1
Let l = -160822 - -160824. What is t in 4 + 4*t**3 - 21/5*t**l - 3/5*t**4 - 24/5*t = 0?
-1, 2/3, 2, 5
Let s(x) be the third derivative of -x**7/1365 - x**6/780 + x**5/39 - 2*x**4/39 - 830*x**2. Suppose s(v) = 0. Calculate v.
-4, 0, 1, 2
Let i be (-5)/(-45) + (-466)/(-18). Suppose 10*a + 6 = i. Factor q**4 - 6*q**3 + 32*q**a - 32*q**2 + 2*q**4.
3*q**3*(q - 2)
Let g(y) be the first derivative of -y**6/33 + 32*y**5/55 - 47*y**4/22 - 32*y**3/33 + 48*y**2/11 + 14322. Let g(a) = 0. Calculate a.
-1, 0, 1, 4, 12
Let z be 8/(-28)*-2 + 112/(-196). Let c = -423/8 - -53. Factor z + 1/8*k**4 + c*k**2 + 0*k - 1/4*k**3.
k**2*(k - 1)**2/8
Suppose -x = -2*x + 2. Factor 2*i**4 - 5*i**2 - x - 3*i + 10 - i**2 - 5*i + 4*i**3.
2*(i - 1)**2*(i + 2)**2
Factor -1/5*n**2 - 5299204/5 - 4604/5*n.
-(n + 2302)**2/5
Determine x so that -40443816 - 509796*x + 3*x**3 - 2142*x**2 - 10*x**3 + 4*x**3 = 0.
-238
Factor 2*o**3 - 9399 + 9431 - 21*o + 13*o - 8*o**2.
2*(o - 4)*(o - 2)*(o + 2)
Let n be (250/(-6))/(28/(-1092)). Let 41*t - n + 167*t - 4*t**2 - 1079 = 0. What is t?
26
Let a be 6/(742/(-368) + 2). Let q = a - -370. Factor -2/3*w - 1/3*w**q + 0.
-w*(w + 2)/3
Factor 1/7*p**2 + 0 - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
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