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Let z be -2*(-1)/(-44)*-4. Let y = -232 + 1626/7. Which is the second smallest value? (a) y (b) -2/29 (c) z
c
Let x be 8/6*(-3)/(-2). Suppose r - x*r = -17. Suppose -g + 4*s - r = -3, g + 5 = s. Which is the third biggest value? (a) 4 (b) -0.1 (c) g
c
Let m be 50/4*12/15. Suppose 2*j = 2*u + m, -2*u - u = 4*j - 6. What is the smallest value in j, -0.3, -1?
-1
Let i = -11/2 + 103/18. What is the third smallest value in -57, -0.2, i?
i
Let x = -490 - -489.8. Which is the third biggest value? (a) x (b) 5/2 (c) -57 (d) 2/9
a
Let w be ((-32)/(-80))/((-6)/45*-1). What is the third smallest value in -0.2, 8.6, w?
8.6
Let o be 0 - (3 - 1)/(-4). Suppose -42*u + 123 = 472 + 407. What is the smallest value in -0.2, u, o?
u
Let w be -3 + 4/1 + 3. Suppose -2*r = -w*v, 4*v - r + 0*r = 2. Let u be 1/(-4) + 38/(-8). Which is the biggest value? (a) 4 (b) v (c) u
a
Let v = -74 + 67.3. Let w = v - -1.7. What is the second biggest value in 2/3, w, -3?
-3
Let i = 0 + 0.5. Let f = 18130507/138 + -131382. Let h = 1/69 + f. Which is the smallest value? (a) -0.1 (b) h (c) i
b
Let d = -5.264 + 0.264. What is the biggest value in -1/2, d, 0.09?
0.09
Let b = -0.2 + 0.3. Let q = -6.9 - -7. Let y = b - q. What is the third biggest value in y, 0.4, -1?
-1
Let u = 16.66 + -16.26. Let q = 3.93 + 0.07. Let v = q + -3. Which is the second biggest value? (a) -0.5 (b) u (c) v
b
Suppose 0*m + 2*m = -30. Let r = m + 25. Let t be (24/(-140))/((-3)/r). What is the third biggest value in t, -4, -3/5?
-4
Let m = 0.0902 + -0.4902. Which is the third biggest value? (a) -4 (b) 2/5 (c) 0.8 (d) m
d
Let z = -3 + 3.65. Let j = 0.75 - z. Which is the smallest value? (a) 2/43 (b) -0.1 (c) j
b
Let h = 1.509 + -1.409. Which is the biggest value? (a) -13 (b) 2/9 (c) h (d) -0.2
b
Let p = 136.1 - 131.1. Which is the second smallest value? (a) 2 (b) -4 (c) p (d) 1/6
d
Let w be 16/(-20) - (-156)/120. Let u = 12 + -5. Let v = u - 12. Which is the third biggest value? (a) 5 (b) w (c) v
c
Let r = 198 + -197.9. Which is the second smallest value? (a) -0.05 (b) r (c) -4 (d) -0.2
d
Suppose -m + 4*m + 153 = 0. Let a = 45 + m. Let k = -1.9 - -2. What is the third biggest value in a, k, -3?
a
Let v = -0.34 + 0.18. Let q = -4.16 - v. What is the second smallest value in -2/27, q, -2/3?
-2/3
Suppose -s = -5*s + 3*j + 7, 3*s - 8 = 5*j. Let z be 18/(-4)*(128/24)/(-8). Which is the biggest value? (a) s (b) 2/11 (c) z (d) -3/8
c
Suppose 0 = -2*r - 77*t + 76*t - 10, 0 = -5*t. Which is the smallest value? (a) -10 (b) r (c) 16
a
Suppose 4*i + 82 = 4*u - 226, -157 = 2*i + u. Let n = i + 75. Which is the biggest value? (a) n (b) -1/6 (c) -37
b
Let f = -956.4 - -956. What is the third smallest value in 3, -3, 1/4, f?
1/4
Let p = -33 - -32.58. Let d = p - -0.02. Let f = d - 0. Which is the second smallest value? (a) 2 (b) f (c) -3/4
b
Let f = 74/85 + -8/17. Let l = -16/15 + f. Let q be -5 + (3 - 2) - -3. Which is the second smallest value? (a) l (b) q (c) 0.4
a
Let g = 6 + -36. Let y = -31.1 - g. Let j = y - 0.5. What is the second biggest value in 4, j, 0?
0
Let p = 1.1 - -2.9. Let k = p + -4. Let l = 0.9 - 0.6. What is the second biggest value in l, 0.5, k?
l
Let y = 2070 - 6211/3. What is the fourth smallest value in -5, y, -6, 5?
5
Let g = -0.29 - -0.28. Let b = 0.21 + g. What is the smallest value in -2/15, -18, b?
-18
Let s = 20.83 - 21. Let a = s - -0.11. Let p = -0.04 + a. What is the third smallest value in 0.2, -0.2, p?
0.2
Let u = 0.09 - 0.17. Let p = u + -3.92. What is the smallest value in -1/2, 3, 2, p?
p
Let p = 554 - 554.2. What is the second biggest value in 0.4, -1/41, -5, p?
-1/41
Let r(c) = 2*c - 5. Let b = 8 + -3. Let i be r(b). Suppose v + 15 = -3*x, 13 = -3*v - i*x - 12. What is the second smallest value in v, -4, 1?
v
Let h = -3.9 + 1.4. Let f = h + 4.5. Let m = -130/261 - -8/29. Which is the third biggest value? (a) m (b) f (c) 0.1
a
Suppose 5*d + 2401114 = 7*d. Let k = -34823782/29 + d. Let x = 263 + k. What is the smallest value in -0.4, 0.3, x?
-0.4
Let y = -11.7 - -12. Let m = -1.1 - -0.9. Let r = m - -1.2. What is the biggest value in y, 5, r?
5
Let w = 1.9 - 2. Let n = -0.0831 - -0.5831. What is the second biggest value in w, n, -24?
w
Let n = 2761 + -2731.38. Let d = 30 - n. Let z = d + 0.02. Which is the second biggest value? (a) z (b) 0.2 (c) -2/7
b
Let q = 0.15 + -0.17
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{
"pile_set_name": "DM Mathematics"
}
|
89)/45 + (-1)/(-5) - -17. Suppose 4*j = a*u - 12*u + 2345, 5*j + 3*u = 2944. Is j prime?
True
Let n(a) = -4181*a - 1529. Is n(-8) prime?
False
Let j be -7 + 23118*8/16. Is (1 + (j/(-12))/(-2))*21 a prime number?
False
Suppose 0 = 9*k + 19492 + 227. Let b = 4496 - k. Suppose 5*s - 5*r = 11140, 3*r = 3*s + r - b. Is s a composite number?
True
Let u(o) = o**3 + 31*o**2 + 24*o - 103. Is u(-14) prime?
False
Let k(y) = 7*y**2 + 99*y + 15. Let f be k(-14). Is 22296 - (f - (14 - 6)) a composite number?
False
Suppose -4*h + 10*h = 0. Suppose -22*n + 6*n + 25952 = h. Is n a prime number?
False
Let l(u) = 3458*u + 23. Let v(m) = -6*m + 96. Let p be v(15). Is l(p) a prime number?
True
Let c = 68 + -48. Suppose -c = -17*l + 13*l. Suppose 7*j = l*j + 1174. Is j prime?
True
Let p(u) = 283*u**2 - 3*u + 76. Let x be p(5). Suppose -x = -6*w + 19522. Is w composite?
True
Let t = 993 + -988. Suppose t*x = -4*c + 19925, -15940 = 8*x - 12*x - 2*c. Is x composite?
True
Suppose 77858 + 124006 = 24*f. Is f composite?
True
Let q(j) = 171*j**3 + 21*j**2 - 30*j + 275. Is q(8) composite?
True
Let z(w) = 1312*w**2 - 39*w - 224. Is z(-5) a prime number?
True
Let h be 4706/(-4 - -2)*-1. Let w be 4 - ((-4)/(8/(-2)) - 2). Suppose -562 = -p + 5*k, p = w*p + k - h. Is p composite?
False
Suppose 2 = w - g, g + 3 + 2 = 2*w. Suppose -4*s = -w*r - 13181, 14*r - 6623 = -2*s + 9*r. Is s composite?
False
Suppose 6*u + 5*i = 3*u - 12664, -i + 4 = 0. Let g = 14585 + u. Is g composite?
False
Is -11 + (-238)/(-22) - ((-8339258)/(-22))/(-1) composite?
True
Let z = -99 + 504. Suppose -4*n = 2*v - 830, n + 2*n + z = v. Let a = v - 18. Is a prime?
False
Let c = -2 - -2. Suppose 8*k + k - 531 = c. Let v = 138 - k. Is v composite?
False
Let n(r) = 10709*r + 665. Is n(6) a prime number?
True
Suppose -5*d + 2*d + 2*n + 177 = 0, 4*d - n = 231. Suppose d*g = 58*g - 5155. Is g composite?
True
Let c(z) = 1694*z**3 - z - 6. Is c(5) a prime number?
False
Let q = 30296 - 4387. Is q composite?
True
Let t(s) = -s**2 - 9*s - 8. Let m be t(-1). Suppose -13*a + 30393 + 35504 = m. Is a a composite number?
True
Let x(j) be the first derivative of 257*j**3/3 - 23*j**2/2 + 17*j - 57. Is x(13) a composite number?
False
Let a(w) = -13*w**3 + 2*w**2 + 5*w + 7. Let o be 264/42 - 6/21. Let u be 2 + (-1 + 0)*o. Is a(u) composite?
True
Let l = -20379 + 271462. Is l a composite number?
True
Suppose 35 = -g - 5*u, -3*g + 0*g - 2*u = 40. Is ((-1)/3)/(g/(-18))*-1655 prime?
False
Let q(g) = 266*g**2 + 13*g + 41. Is q(-12) a composite number?
False
Suppose -18 = -11*x + 8*x. Suppose n = x*n - 1890. Suppose o - 1157 - n = 2*j, -9 = -3*j. Is o a prime number?
False
Let z(j) be the second derivative of -j**5/20 - 4*j**4/3 - 8*j**3/3 - 2*j**2 + 13*j. Let b(x) = -5*x**2 + x + 1. Let q be b(2). Is z(q) composite?
False
Let q be ((-4)/24)/(2/6)*-54. Suppose 30*f - q*f = 9411. Is f prime?
True
Suppose 26*s - 15*s = 851147. Is s composite?
False
Is -1693779*(460/(-60))/23 composite?
False
Is 252/168 - ((-593305)/2 + 3) composite?
False
Suppose 5*y + 4*f = 51, -3*y = -5*f - 24 - 14. Let t = -14 + y. Is 2/((-2)/(-1))*(-165)/t a composite number?
True
Let l(y) = -966*y - 1193. Is l(-27) a composite number?
False
Let o = -335967 - -492863. Let j = 224107 - o. Is j a composite number?
False
Is -10 + 7 + 2920*59 + 2 composite?
False
Is 685396/6 + (-35)/(-120) + (-10)/(-240) a composite number?
True
Let r be (-38)/(-14) + -1 + (-2)/(-7). Suppose -34*l + 29*l - 4*p = -17703, -r*l = 2*p - 7080. Is l a prime number?
False
Let v be 5740/168 - (-10)/12. Suppose v*q - 10515 = 32*q. Is q composite?
True
Suppose -41*i + 68*i - 16638993 = 0. Is i prime?
False
Let i(r) = -4309*r - 2451. Is i(-146) a prime number?
True
Let y = -25718 + 56881. Is y a prime number?
False
Suppose 0 = 29*c + 5602293 - 23784510. Is c prime?
False
Let a be 1*3 + (3 - -5) + -4. Suppose -f - 65328 = a*f. Is (f/12)/((-2)/4) prime?
True
Suppose -2*p - 5*g = -41, -3 = p + 3*g - 26. Suppose -12*f - 5392 = -p*f. Is (f/6)/((-4)/12) a prime number?
False
Suppose -1474*k + 1481*k = 259693. Is k composite?
True
Let s = -100602 - -224093. Is s a composite number?
False
Let s(v) = 133 + 52*v**3 - 136 + 4*v**3. Is s(5) prime?
True
Suppose 6 - 6 = -46*g. Let j(z) = 26*z + 3607. Is j(g) a composite number?
False
Let p(d) = -28701*d + 2501. Is p(-8) composite?
False
Let b be ((-68)/(6/(-3)))/(8/(-492)). Let s = b + 3623. Suppose 5*o = 4*n + 1531 + s, o - 3*n = 617. Is o a prime number?
False
Let d be -509 + 3 + (-2 - -3)*-1. Let p = 300 + d. Is (p/(-12))/((-6)/(-40)) prime?
False
Let c = -22 + 22. Let w(z) = c*z + 13*z**2 + 124*z**2 + 1 - 2*z + 4*z. Is w(2)
|
{
"pile_set_name": "DM Mathematics"
}
|
is divided by s(-2).
273
Suppose -18*f + 21*f - 453 = 0. Let i = -21 + 61. What is the remainder when f is divided by i?
31
Let s be -2 + 1/((-2)/(-2)). Let w be -371*(3 - (-190)/(-70)). What is the remainder when (-24)/6 - (w + s) is divided by 26?
25
Suppose 0 = -53*y + 13212 + 12546. Suppose -12*j + y = -546. What is the remainder when 687 is divided by j?
85
Let j = 462 - -268. What is the remainder when j is divided by 146?
0
What is the remainder when (-6)/(-48) + (-476189)/(-472) is divided by 364?
281
Suppose -3*y + 0*y = 120. Let t = -17 - y. Let u(f) = -f + 21. What is the remainder when t is divided by u(12)?
5
Suppose 3*s + 3 = 0, 223 = 4*b + 2*s + 61. Let u(y) = y**2 + 10*y - 91. Let n be u(-15). What is the remainder when b is divided by 3/8 + (-106)/n?
6
Let m(s) = -101*s**3 - s**2 + 18*s + 20. What is the remainder when 341 is divided by m(-1)?
35
Let h = -69 - -73. What is the remainder when (-778)/(-16) + (-45)/(-120) is divided by h?
1
Let c = 635 - 912. Let o = c - -349. Calculate the remainder when o is divided by 30.
12
Let b = -12449 + 12459. What is the remainder when 1943 is divided by b?
3
Let p = 1847 - 1099. What is the remainder when p is divided by 14?
6
Suppose -3 = p - i + 203, -3*p - i - 598 = 0. Let x = -187 - p. Calculate the remainder when 31 is divided by x.
3
Let i(m) = m**3 - 7*m**2 + 4*m + 6. Let p(r) = -39 - r + 24 + 31. Calculate the remainder when i(7) is divided by p(3).
8
Let y(k) = 97*k + 2290. Calculate the remainder when 589 is divided by y(-23).
58
Let q(r) = 3*r**2 + 39*r - 50. Let f(l) = 7*l**2 + 80*l - 99. Let v(b) = -4*f(b) + 9*q(b). What is the remainder when 144 is divided by v(28)?
24
Suppose 0*r + 72 = 4*r. Suppose -10*u + 2147 - 7 = 0. Calculate the remainder when u is divided by r.
16
Let k(d) = -d**3 + 3*d**2 + 6*d + 14. Suppose 0 = -3*r - 7*x + 6*x + 284, 0 = r - 2*x - 97. Calculate the remainder when r is divided by k(-3).
45
Let k(y) = -2 - 7 - 11*y - 12 - 2. Let t be k(-5). Suppose -o - 2 = -0, b + 5*o = t. What is the remainder when 165 is divided by b?
39
Suppose 0 = 4*y - 154 - 390. Suppose 106 + y = 22*m. Let k = 5 - 1. What is the remainder when m is divided by k?
3
Let w = 15 + 6. Let s = 129896 + -129332. Calculate the remainder when s is divided by w.
18
Let r(i) = 31*i. Let h be r(-1). Let k(t) = t**3 + 46*t**2 - 47*t - 20. Let p be k(-47). Let q = p - h. What is the remainder when q is divided by 5?
1
Let u be ((-6)/(-4))/(3/(-114)). Suppose -51*k - 1902 = -5*k + 352. Let i = k - u. Calculate the remainder when 93 is divided by i.
5
What is the remainder when -4*(0 - 26/4) is divided by 3 + (-17 - -5) + 3 + 8 - -9?
4
Suppose 0 = 20*x + 91*x - 20184 - 12783. Calculate the remainder when x is divided by 158.
139
Let h be 2*(2/(-8))/((-2)/12). Suppose -h*w = -12, -4*w + 138 = 2*f - 70. Calculate the remainder when f is divided by 33.
30
Suppose i + 0*i = -3*b + 15, 5*b - 8 = 4*i. Suppose m = 5*w - m + 81, 21 = -2*w - i*m. What is the remainder when 56 is divided by 2/2 + 24 + w?
6
Let t(h) = -5*h - 14. Let y = -1456 - -843. What is the remainder when y/(-13) + 6/(-39) is divided by t(-6)?
15
Suppose 0 = 3*q - 5*n - 944, 23*q - n + 328 = 24*q. What is the remainder when q is divided by 18?
17
Let w = -252 - -256. Suppose 4*p = 2*r - 128, 5*r + 0*r - 306 = -w*p. Calculate the remainder when 183 is divided by r.
59
Suppose -b - l = -6, 4*l - 12 = -5*b + 5*l. Suppose -3*w - 5*t = -2*w + 11, t = -b*w + 37. What is the remainder when 137 is divided by w?
11
Let p = 6270 + -6259. What is the remainder when 51 is divided by p?
7
Let a = -47 + 14. Let q = a + 46. Let v(x) = x**3 + 5*x**2 - 8*x + 2. Calculate the remainder when v(3) is divided by q.
11
Suppose -8*n + 4*n + 168 = 0. Let p = 98 - n. Let h = 9 + p. What is the remainder when h is divided by 17?
14
Let d(q) = 2*q**2 + 21*q + 8. Let g be d(-11). Let s = 23 + g. Suppose -3*h + s = 2*c, -c = h + 2*c - 14. Calculate the remainder when 24 is divided by h.
10
Let b be -3 - (-8 - (11/(-1) + 5)). Calculate the remainder when 96 is divided by (76 - 24) + (b - 1).
46
What is the remainder when 508 is divided by 5/((-8)/96 - (-38)/312)?
118
Suppose 0 = -4*w + 86 - 30. Suppose 27*u - 1008 = 13*u. Suppose -u*f + 78*f = 330. What is the remainder when f is divided by w?
13
Let a(s) = 5*s**2 - 41*s + 183. What is the remainder when a(-20) is divided by 215?
208
Suppose -174 = 24*b - 30*b. Let h = -310 - -538. What is the remainder when h is divided by b?
25
Let z be 98/34 - (-10)/85. Suppose -12*r + 17*r - d - 384 = 0, 2*r - 151 = z*d. What is the remainder when r is divided by 2?
1
Let w(y) = -y**2 + 5*y + 11. Let l be w(6). Suppose -36 = -x + 3*a - 6, -a = l*x - 70. What is the remainder when x is divided by 3?
0
Suppose 0 = 54*p - 58*p + 180. Let n(c) = c**2 + c + 12. What is the remainder when p is divided by n(0)?
9
Let p(a) = a**3 - 21*a**2 + 122*a + 27. What is the remainder when p(9) is divided by 52?
49
Let n = -234 + 243. Suppose 2*c + c - 4*a = -12, -2*a = -6. Suppose -3*b - 6 = c, 3*b = -0*s + 5*s - 26. What is the remainder when n is divided by s?
1
Suppose 334*h - 3748 = 23*h + 5582. What is the remainder when 2330 is divided by h?
20
Let f = -275 - 467. Let i = 779 + f. Calculate the remainder when
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{
"pile_set_name": "DM Mathematics"
}
|
: 2}?
2/35
Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {x: 1, w: 2, v: 1, u: 1, y: 2}.
2/21
Four letters picked without replacement from {n: 1, t: 6, r: 1, a: 1, o: 5}. Give prob of picking 1 r, 2 o, and 1 a.
10/1001
What is prob of picking 3 j when three letters picked without replacement from {r: 5, j: 10, z: 4}?
40/323
Four letters picked without replacement from {q: 5, d: 2}. Give prob of picking 2 d and 2 q.
2/7
Two letters picked without replacement from uziuuuzuekkukkhekkk. Give prob of picking 2 u.
5/57
Three letters picked without replacement from {u: 1, h: 4, k: 4, d: 5, b: 1}. Give prob of picking 2 k and 1 d.
6/91
Four letters picked without replacement from {i: 5, s: 8}. Give prob of picking 1 i and 3 s.
56/143
Calculate prob of picking 1 b and 1 d when two letters picked without replacement from cccbcocccdcoccc.
1/105
Calculate prob of picking 1 l and 1 b when two letters picked without replacement from bdprppdrwpdprpppplp.
1/171
What is prob of picking 1 a, 2 k, and 1 q when four letters picked without replacement from kkamkmkqakkakkkkmkkk?
78/1615
What is prob of picking 4 p when four letters picked without replacement from {y: 1, p: 12, z: 1}?
45/91
Three letters picked without replacement from xqgxndqxqttttntqttxt. What is prob of picking 1 d and 2 t?
7/285
Three letters picked without replacement from {x: 4, l: 8, o: 1, s: 2, q: 1}. Give prob of picking 1 o and 2 s.
1/560
Calculate prob of picking 1 f and 1 y when two letters picked without replacement from yyykyfyvycyffvyf.
4/15
Two letters picked without replacement from txwfwtn. Give prob of picking 1 x and 1 w.
2/21
Calculate prob of picking 2 r and 2 k when four letters picked without replacement from {r: 4, k: 2, f: 7, l: 1}.
6/1001
What is prob of picking 1 s and 1 b when two letters picked without replacement from {d: 6, s: 1, b: 1, a: 5, z: 1}?
1/91
Calculate prob of picking 2 o and 2 i when four letters picked without replacement from iooioovi.
9/35
Calculate prob of picking 1 v and 1 b when two letters picked without replacement from zybvhhy.
1/21
Calculate prob of picking 1 o and 2 x when three letters picked without replacement from {x: 2, w: 9, o: 2}.
1/143
What is prob of picking 1 g and 1 a when two letters picked without replacement from caaacrragaa?
6/55
What is prob of picking 1 t and 1 f when two letters picked without replacement from {f: 1, h: 16, t: 1}?
1/153
What is prob of picking 3 s when three letters picked without replacement from swswwvvsvsv?
4/165
Four letters picked without replacement from qyttq. Give prob of picking 1 t, 2 q, and 1 y.
2/5
Calculate prob of picking 1 y and 1 l when two letters picked without replacement from dsdyssoddold.
1/66
What is prob of picking 1 r and 2 l when three letters picked without replacement from {z: 7, l: 3, n: 2, r: 5}?
3/136
Calculate prob of picking 3 v when three letters picked without replacement from {z: 4, v: 3}.
1/35
Two letters picked without replacement from xfzzxf. Give prob of picking 2 f.
1/15
Three letters picked without replacement from karrlrkoll. What is prob of picking 1 l and 2 r?
3/40
What is prob of picking 2 l and 2 d when four letters picked without replacement from ldrld?
1/5
What is prob of picking 2 f, 1 l, and 1 r when four letters picked without replacement from {f: 2, a: 1, z: 1, l: 1, i: 5, r: 3}?
3/715
What is prob of picking 2 p and 2 n when four letters picked without replacement from {n: 5, p: 3}?
3/7
Two letters picked without replacement from {u: 1, s: 2, o: 1}. What is prob of picking 2 s?
1/6
What is prob of picking 1 w and 1 n when two letters picked without replacement from nwkvwvggwvgvng?
6/91
Four letters picked without replacement from pffofppfoyp. What is prob of picking 2 f and 2 o?
1/55
Calculate prob of picking 1 s and 1 r when two letters picked without replacement from xrxxxsxxx.
1/36
Two letters picked without replacement from gzgomztgggzm. Give prob of picking 1 o and 1 z.
1/22
What is prob of picking 2 g when two letters picked without replacement from {f: 9, g: 5}?
10/91
Calculate prob of picking 1 e and 1 z when two letters picked without replacement from zrixxreg.
1/28
Three letters picked without replacement from {j: 10, g: 1, r: 1, q: 7}. What is prob of picking 2 j and 1 q?
105/323
What is prob of picking 3 z when three letters picked without replacement from {z: 13, b: 3}?
143/280
Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {o: 1, v: 1, s: 1, g: 6, x: 3}.
1/22
Three letters picked without replacement from {y: 3, l: 6, r: 4, s: 2}. Give prob of picking 2 s and 1 l.
6/455
Calculate prob of picking 3 v when three letters picked without replacement from {i: 1, v: 3}.
1/4
What is prob of picking 2 h when two letters picked without replacement from {h: 7, e: 1}?
3/4
What is prob of picking 1 a and 1 m when two letters picked without replacement from {a: 3, n: 4, m: 7, j: 4}?
7/51
Four letters picked without replacement from {p: 2, q: 1, j: 10, c: 4, v: 1}. Give prob of picking 2 c, 1 p, and 1 j.
2/51
Two letters picked without replacement from zzzrroorrzrz. Give prob of picking 1 r and 1 z.
25/66
What is prob of picking 2 v and 1 b when three letters picked without replacement from {y: 1, b: 1, v: 1, o: 1, x: 1}?
0
What is prob of picking 3 i when three letters picked without replacement from {i: 10}?
1
Three letters picked without replacement from oivovvhohiihv. What is prob of picking 3 i?
1/286
Three letters picked without replacement from fdjaftkjk. Give prob of picking 1 k, 1 t, and 1 f.
1/21
Three letters picked without replacement from fyyyyofofyfofoffy. What is prob of picking 1 y and 2 f?
63/340
Four letters picked without replacement from {e: 3, z: 1, p: 2, j: 3, c: 1}. What is prob of picking 1 e and 3 j?
1/70
What is prob of picking 2 u and 2 p when four letters picked without replacement from ppppupppuupppppppup?
105/646
Calculate prob of picking 1 v and 3 j when four letters picked without replacement from vjavodjvrjja.
4/165
Three letters picked without replacement from vjvjqqjqqjjjjqj. What is prob of picking 2 v and 1 q?
1/91
Calculate prob of picking 2 e when two letters picked without replacement from ejeeejeejeeeejej.
11/24
Calculate prob of picking 1 x, 2 t, and 1 q when four letters picked without replacement from {x: 3, q: 2, t: 3}.
9/35
Calculate prob of picking 1 n, 1 j, and 2 m when four letters picked without replacement from jqjfnmnmfmqqn.
18/715
Four letters picked without replacement from uktjujdk. What is prob of picking 2 k, 1 t, and 1 u?
1/35
Calculate prob of picking 2 x and 1 v when three letters picked without replacement from {v: 1, t: 1, f: 7, x:
|
{
"pile_set_name": "DM Mathematics"
}
|
1*m wrt b.
-264*b*m**3 - 10464*b
Find the second derivative of -7*m**2*o**3 - 114*m**2 + m*o + 910*o**5 - 2*o - 1 wrt o.
-42*m**2*o + 18200*o**3
What is the third derivative of -12*g**6 + 18*g**5 - 41*g**2 - 2 wrt g?
-1440*g**3 + 1080*g**2
Find the third derivative of 1325*n**3*o**3 + 2*n**2*o**3 - 146*o**3 - 1 wrt n.
7950*o**3
What is the second derivative of 20*h**2*x**3 + 3*h**2*x**2 - 19*h*x**3 + 2*h*x**2 - 3*x wrt h?
40*x**3 + 6*x**2
What is the first derivative of -1593*x + 1929 wrt x?
-1593
Find the first derivative of -m**3*q - 26*m**3 + 185*m*q**2 + 3 wrt q.
-m**3 + 370*m*q
What is the third derivative of -c**3*h**2*k - 84*c**3*h*k**3 - c*h**2*k**2 + 3*h**2*k**3 - 221*h**2*k wrt k?
-504*c**3*h + 18*h**2
What is the first derivative of -647*t**4 + 1331 wrt t?
-2588*t**3
Find the third derivative of -12834*s*t**3 + 18745*s*t**2 wrt t.
-77004*s
What is the third derivative of 10*i**3*o**4 + i**3*o**2 - 110*i**3*o + 4*i**2*o - 939*o**5 - 1 wrt o?
240*i**3*o - 56340*o**2
Find the second derivative of 17*r**2*u**2 + 2*r**2*u*y + 4*r**2*u - 2*r**2*y + r**2 - 6*r*u**2*y + u**2*y wrt u.
34*r**2 - 12*r*y + 2*y
What is the second derivative of d**5 - 2*d**3 - 52*d**2*v**2 - d*v**2 - 10*d wrt d?
20*d**3 - 12*d - 104*v**2
What is the second derivative of -m**2*y**3 + 2*m**2*y**2 + 261*m**2*y - 18*m*y**3 wrt y?
-6*m**2*y + 4*m**2 - 108*m*y
What is the third derivative of 22*h**4*s + h**4 - 16*h**2*s - 8*s wrt h?
528*h*s + 24*h
What is the second derivative of 37*i**2*w**3 - 7*i**2*w**2 + 74*i**2 - i*w**2 + 2*i*w wrt w?
222*i**2*w - 14*i**2 - 2*i
Find the second derivative of 820*u**2 + 1049*u.
1640
Differentiate d*k*q**2 + d*k + 6*d*q**2 - 11*k*q - q**2 - 4*q wrt d.
k*q**2 + k + 6*q**2
Find the second derivative of -n**3*z**2 - 2*n**3 - 15*n*z**2 - 14*z wrt z.
-2*n**3 - 30*n
Differentiate 23*c*h - 50*c + 3*h*l + 2*h + 4*l with respect to h.
23*c + 3*l + 2
Find the second derivative of 15*i**2*n**5 - 3*i**2*n**2 + 170*i**2*n - 2*i**2 wrt n.
300*i**2*n**3 - 6*i**2
What is the first derivative of -7246*c**3*k - 3*c**3 + c**2 + 2*c*k - 157 wrt k?
-7246*c**3 + 2*c
Find the third derivative of -115*j*x*y**3 - j*x*y**2 + j*x + 4*y wrt y.
-690*j*x
What is the second derivative of -18*a*c**2*t**3 - 3*a*c**2 - a*c*t**3 + 166*a*t**3 - 78*c**4*t + c*t + 12*c wrt c?
-36*a*t**3 - 6*a - 936*c**2*t
Find the third derivative of 2*d**2*s**2*z**3 - 2*d**2*s**2 - 2*d**2*s*z**2 - 12*d*s**3*z**4 - d*s**3 - 3*s**2 wrt z.
12*d**2*s**2 - 288*d*s**3*z
What is the second derivative of 21595*q**2*u + 10*q*u + 290*q + u + 1 wrt q?
43190*u
Find the third derivative of 2319*n**4*o**3 - 27*n**2*o**3 - 137*o**3 wrt n.
55656*n*o**3
What is the third derivative of 2*r**4 + 51*r**3 - 2*r**2 + 1?
48*r + 306
What is the third derivative of -363*t**6 + 2*t**4 - 95*t**2?
-43560*t**3 + 48*t
Find the third derivative of 360*u**5 + 862*u**2.
21600*u**2
What is the third derivative of -137*c**3*n + 59*c**2*n - n wrt c?
-822*n
What is the first derivative of -32*g**2*v*x - 2*g**2*v + 3*g**2 - 2*g*x + v*x - 11*v - 4*x - 7 wrt g?
-64*g*v*x - 4*g*v + 6*g - 2*x
What is the derivative of a*h*m**3*n - 2*a*h*m - 800*a*m*n + h*m**3*n + 607*h*m**3 wrt a?
h*m**3*n - 2*h*m - 800*m*n
What is the third derivative of 84*m**3*u**2 - m**2*u**2 - 3*m**2*u - 8*m*u**2 wrt m?
504*u**2
Differentiate 4349*w - 1269 wrt w.
4349
What is the second derivative of -522*f**3 - 450*f wrt f?
-3132*f
Find the second derivative of 20*f**3*g**2*n**2 + 3*f**3*g**2*n + 3*f**3*g*n**2 - 3*f**2*g**2 + 4*f*g**2*n + 3*f*n**2 + 9*g wrt n.
40*f**3*g**2 + 6*f**3*g + 6*f
What is the first derivative of 1391*p*y + 138*p + 3*y + 68 wrt y?
1391*p + 3
Differentiate 208*b**3 + 164.
624*b**2
What is the derivative of 6*m**2*q**2 - 3*m**2*q + 398*m**2 + 5*q wrt q?
12*m**2*q - 3*m**2 + 5
Find the third derivative of -139*t**5 - 2*t**4 - 13*t**3 + 24*t**2 + 8*t + 3 wrt t.
-8340*t**2 - 48*t - 78
Differentiate -d*s - 2*d*y - 14*g**3*s*y + 4*g**3*y**2 - 2*g**3 - g*s*y**2 - 8*y**2 with respect to s.
-d - 14*g**
|
{
"pile_set_name": "DM Mathematics"
}
|
(j)).
-4*j**4
Let i(o) = 4*o - 8. Let c(m) = -m**2. Give c(i(f)).
-16*f**2 + 64*f - 64
Let g(k) = -2*k**2. Let h(j) = -j**3 + 8*j**2 - 7*j. Let y be h(6). Let r(o) = -30 + o**2 + y. Determine r(g(l)).
4*l**4
Let a(x) = -6*x**2 + 3*x. Let g(y) = 9*y**2. Give g(a(t)).
324*t**4 - 324*t**3 + 81*t**2
Let i(u) be the first derivative of u**3 - 7. Let l(y) = -3*y. Give l(i(h)).
-9*h**2
Let r(v) = 1326*v**2. Let k(f) = f. What is r(k(t))?
1326*t**2
Let g(k) = -k**2. Let r(u) = -1 + 5 + 2 - 5. Let o(w) = -w**2 + 0*w**2 + 6 + 0. Let f(i) = o(i) - 6*r(i). Determine f(g(a)).
-a**4
Let g(o) = 7 - 14 + 7 - 2*o. Let v(l) = -14*l. Give v(g(b)).
28*b
Let y(m) = 9*m. Let f(h) = -1. Let o(l) = -2*l - 2. Let p(q) = -2*f(q) + o(q). Determine y(p(k)).
-18*k
Let d(p) = -p. Let v(r) = -8*r + 1. Let q be v(-1). Suppose 3*l + q = 0, 5*x + 0*x + 4*l + 2 = 0. Let w(s) = s**2 - s**x + s**2. Calculate d(w(a)).
-a**2
Let x(r) be the third derivative of r**4/12 + r**2. Let o(q) = 16*q - 17. Let m(a) = 2*a + 0 - 2 + 0. Let v(g) = 51*m(g) - 6*o(g). Calculate v(x(z)).
12*z
Let q(g) = 6*g. Let y(c) = -5*c - 7. Let r(t) = -6 - 6*t + t + t. Let p(m) = -7*r(m) + 6*y(m). What is p(q(o))?
-12*o
Let h(l) be the third derivative of l**4/24 - 3*l**2. Let y(j) = -3*j + 3*j - j. What is h(y(m))?
-m
Let m(j) = 3*j + 4. Let b(t) = -t - 1. Let s(g) = 4*b(g) + m(g). Let p(o) be the first derivative of -o**3/3 + 2. Calculate p(s(h)).
-h**2
Let z(l) = l. Let o(a) = -a - 13*a - 3*a. Give o(z(h)).
-17*h
Let i(o) be the first derivative of o**2/2 + 16. Let k(m) = 4*m. Calculate k(i(c)).
4*c
Let n(i) = 3*i + 3 - 3*i + i**2. Let v(b) = -b + 11. Let q be v(8). Let p(r) = 3*r**2 + 5. Let o(y) = q*p(y) - 5*n(y). Let j(a) = 2*a**2. Determine j(o(f)).
32*f**4
Let x(z) be the third derivative of 7*z**4/12 + 8*z**2. Let k(t) = 2*t. Determine k(x(p)).
28*p
Let m(x) = 9*x**2. Let j(k) = -13*k. Give j(m(l)).
-117*l**2
Let j(c) = c**2 - 9*c - 8. Let x be j(10). Let d(o) be the second derivative of 0*o**2 + x*o + 1/6*o**3 + 0. Let z(t) = -2*t**2. What is d(z(h))?
-2*h**2
Let n(g) = -134*g**2. Let q(k) = k**2. Determine n(q(z)).
-134*z**4
Let l(p) be the second derivative of 0 - 1/12*p**4 - 2*p + 0*p**3 + 0*p**2. Let q(s) be the first derivative of s**2 + 2. Determine l(q(o)).
-4*o**2
Let d(s) = 5*s. Let u(c) = -2*c**2 + 25*c. Calculate d(u(l)).
-10*l**2 + 125*l
Let y(o) = -35*o**2. Let r(u) be the first derivative of u**2/2 + 7. Give y(r(v)).
-35*v**2
Let t(y) = -13*y - 3. Let j(l) = -64*l - 14. Let o(d) = 6*j(d) - 28*t(d). Let p(a) = -a. Determine o(p(c)).
20*c
Let b(r) = -2*r**2. Let x(h) = 323*h. Calculate b(x(t)).
-208658*t**2
Let r(k) = -164*k**2. Let d(v) = -3*v. Determine r(d(w)).
-1476*w**2
Let y(l) = 4*l**2. Let k(u) be the third derivative of 13*u**5/60 + 25*u**2. Give y(k(j)).
676*j**4
Let n(f) be the second derivative of 0*f**4 + 0*f**3 - f + 0 + 1/30*f**5 + 3/2*f**2. Let m(o) be the first derivative of n(o). Let j(u) = u**2. Give m(j(d)).
2*d**4
Let s(i) be the second derivative of i**3/6 + 10*i - 1. Let b(t) = -9*t. Calculate b(s(z)).
-9*z
Let i(y) = 64*y**2. Let r(d) = -2*d**2. Determine i(r(x)).
256*x**4
Let f(q) = -18*q. Let d(t) be the third derivative of -t**5/30 + 21*t**2. Calculate f(d(u)).
36*u**2
Let n(s) = s. Let d(l) = -12*l - 10. Let u(a) = -a - 1. Let r(i) = -2*d(i) + 20*u(i). Calculate r(n(q)).
4*q
Let c(m) = m**2. Let s(x) = -x**2. Let i(g) = -7*c(g) - 6*s(g). Let w(n) = -2*n. Calculate i(w(u)).
-4*u**2
Let o(c) = 399*c - 2. Let r(d) = -d. Determine r(o(k)).
-399*k + 2
Let v(w) be the third derivative of -w**5/120 + w**3/3 + 2*w**2. Let y(n) be the first derivative of v(n). Let s(t) = 3*t**2 + 0 + 0. Calculate s(y(d)).
3*d**2
Let h(y) = -14*y**2. Suppose -8*o = -10*o + 12. Let q(n) = -6*n - o*n**2 + 5*n**2 + 6*n. What is h(q(l))?
-
|
{
"pile_set_name": "DM Mathematics"
}
|
lacement from fpfpfpppffpp. Give prob of sequence ffff.
1/99
Two letters picked without replacement from zlzwzzzzzzzzzzzww. What is prob of sequence wl?
3/272
What is prob of sequence jj when two letters picked without replacement from {b: 2, j: 2, s: 11}?
1/105
Three letters picked without replacement from qlqququlqxkuh. Give prob of sequence llh.
1/858
Two letters picked without replacement from ohnto. What is prob of sequence ht?
1/20
Calculate prob of sequence olx when three letters picked without replacement from {o: 1, u: 1, x: 2, f: 1, l: 1, v: 1}.
1/105
What is prob of sequence xe when two letters picked without replacement from {x: 2, e: 1}?
1/3
Calculate prob of sequence xaf when three letters picked without replacement from {a: 1, f: 1, x: 1, m: 2}.
1/60
What is prob of sequence tg when two letters picked without replacement from {g: 14, t: 5}?
35/171
Two letters picked without replacement from llyylyyyyyllyy. What is prob of sequence ll?
10/91
Calculate prob of sequence te when two letters picked without replacement from {a: 7, c: 1, t: 2, o: 8, y: 1, e: 1}.
1/190
Three letters picked without replacement from {j: 2, k: 1, b: 1, o: 2, c: 4}. What is prob of sequence jcb?
1/90
Four letters picked without replacement from ddddd. What is prob of sequence dddd?
1
What is prob of sequence jl when two letters picked without replacement from ljhlhbhhjlhlhlhhll?
7/153
What is prob of sequence pnv when three letters picked without replacement from psssspvpppnsspp?
1/390
What is prob of sequence xxnv when four letters picked without replacement from {x: 5, v: 2, e: 2, n: 3}?
1/99
What is prob of sequence kkr when three letters picked without replacement from {v: 1, k: 3, z: 3, r: 5, n: 1, f: 2}?
1/91
What is prob of sequence oo when two letters picked without replacement from ofofoooooo?
28/45
Calculate prob of sequence iio when three letters picked without replacement from {i: 2, o: 6}.
1/28
Calculate prob of sequence mmff when four letters picked without replacement from {f: 9, m: 5}.
60/1001
Two letters picked without replacement from eeeeeeeeeeeeeeeteee. What is prob of sequence te?
1/19
Calculate prob of sequence oo when two letters picked without replacement from {o: 2, r: 1}.
1/3
Two letters picked without replacement from bdbqqqqbdqoqbqbbqqb. Give prob of sequence do.
1/171
Three letters picked without replacement from {i: 3, b: 4, e: 1, v: 3, o: 2, j: 2}. Give prob of sequence bvo.
4/455
Three letters picked without replacement from ztetmeezezevbmteee. What is prob of sequence emt?
1/102
What is prob of sequence nbbd when four letters picked without replacement from dnbdnxddbnbdbnddbb?
7/612
What is prob of sequence jjj when three letters picked without replacement from jjfbjbjb?
1/14
What is prob of sequence rng when three letters picked without replacement from ornrnrnnnnnnognnonno?
1/190
Calculate prob of sequence lllf when four letters picked without replacement from zzzzlzzlzfzfzzzzl.
1/4760
Two letters picked without replacement from jjjjjjjjjjjjjjjwjjjj. What is prob of sequence wj?
1/20
What is prob of sequence pg when two letters picked without replacement from {g: 3, p: 5, q: 1}?
5/24
What is prob of sequence bbb when three letters picked without replacement from {b: 4, v: 5, n: 3}?
1/55
What is prob of sequence tww when three letters picked without replacement from wiwwpwwppptwppwpw?
7/510
What is prob of sequence jocc when four letters picked without replacement from ojaobbaaoboccyojboa?
1/3876
Two letters picked without replacement from rnnknrrrnzwnrrznz. Give prob of sequence nk.
3/136
Calculate prob of sequence tpti when four letters picked without replacement from {i: 1, p: 4, z: 2, w: 1, t: 3}.
1/330
Calculate prob of sequence dzdd when four letters picked without replacement from {z: 4, d: 10}.
120/1001
Calculate prob of sequence ka when two letters picked without replacement from axk.
1/6
What is prob of sequence eeen when four letters picked without replacement from enennenn?
1/56
Three letters picked without replacement from ffcfhifhhdf. Give prob of sequence fdf.
2/99
What is prob of sequence ih when two letters picked without replacement from {l: 2, i: 2, h: 9}?
3/26
What is prob of sequence kkkh when four letters picked without replacement from {k: 3, n: 5, h: 1}?
1/504
Calculate prob of sequence ttad when four letters picked without replacement from {a: 1, t: 8, n: 2, d: 1, p: 4}.
1/780
Calculate prob of sequence vsts when four letters picked without replacement from {o: 1, t: 8, v: 2, s: 2, r: 1}.
4/3003
Four letters picked without replacement from {e: 4, u: 2, i: 2, f: 5, c: 1, z: 1}. Give prob of sequence uczu.
1/16380
What is prob of sequence ti when two letters picked without replacement from ttittmttittetmit?
1/8
Three letters picked without replacement from {u: 5, a: 9}. What is prob of sequence uau?
15/182
Four letters picked without replacement from {l: 1, o: 2, x: 1}. Give prob of sequence loxo.
1/12
What is prob of sequence py when two letters picked without replacement from njqynjpnypjpjnjp?
1/30
Calculate prob of sequence uzzz when four letters picked without replacement from fuffffuzzfzfu.
3/2860
Calculate prob of sequence cccc when four letters picked without replacement from rrrrcrccrcrccrcr.
1/52
Calculate prob of sequence hu when two letters picked without replacement from shcstuy.
1/42
Three letters picked without replacement from {w: 3, q: 9, x: 2, p: 5}. Give prob of sequence wpx.
5/969
Two letters picked without replacement from {i: 2, z: 5, f: 2}. Give prob of sequence fz.
5/36
Calculate prob of sequence eeeh when four letters picked without replacement from hhhehhehhhhrehhhh.
13/9520
Two letters picked without replacement from {x: 9, d: 10}. Give prob of sequence xd.
5/19
What is prob of sequence ii when two letters picked without replacement from {i: 4, d: 14}?
2/51
Calculate prob of sequence kpp when three letters picked without replacement from {g: 1, k: 5, r: 1, h: 6, p: 2, b: 1}.
1/336
Two letters picked without replacement from {r: 1, z: 3, s: 1, i: 1, e: 1}. Give prob of sequence sz.
1/14
Two letters picked without replacement from naqassm. Give prob of sequence na.
1/21
Four letters picked without replacement from ipiitttvptttvvpq. Give prob of sequence tqqq.
0
What is prob of sequence ww when two letters picked without replacement from {t: 1, a: 1, w: 2, j: 1}?
1/10
Three letters picked without replacement from dutsudnundusuddn. Give prob of sequence tss.
1/1680
Calculate prob of sequence fkfk when four letters picked without replacement from {f: 7, k: 9}.
9/130
Calculate prob of sequence fe when two letters picked without replacement from {f: 5, o: 2, b: 2, m: 2, e: 2}.
5/78
Two letters picked without replacement from hbibhhizzhizh. What is prob of sequence hz?
5/52
Four letters picked without replacement from elelwwll. What is prob of sequence leel
|
{
"pile_set_name": "DM Mathematics"
}
|
8 (e) 9
a
Which is the third smallest value? (a) -3 (b) 7 (c) 295
c
What is the biggest value in -0.1, 0.3, -4/9, -6/7, -0.14, 2?
2
What is the smallest value in 1.463, -2, -0.39?
-2
What is the third smallest value in 17, -11/65, 6?
17
Which is the biggest value? (a) 1 (b) 2 (c) -0.3 (d) -10 (e) -0.01
b
What is the biggest value in -2/3, -2/5, 0.032, -5?
0.032
What is the fifth smallest value in -3/5, -1, -12, -1.41, -7?
-3/5
What is the second smallest value in -4/5, 4, -2/5, 133, 3/10?
-2/5
Which is the biggest value? (a) 0 (b) 0.5 (c) -9152
b
What is the second biggest value in -1/2, -1/3, 9477?
-1/3
What is the second biggest value in 2/3, -1, 1, 0.8, -0.2, -515?
0.8
What is the second biggest value in -3/8, -1041, 47?
-3/8
Which is the biggest value? (a) 1/2 (b) -315/2 (c) 7 (d) 5
c
What is the biggest value in -1.1, -3/4, 7/122, 3?
3
What is the third biggest value in 6/13, -5/4, 1/4, -31.7?
-5/4
What is the smallest value in 1, 62, -4, -324, -0.4?
-324
What is the fourth biggest value in 1/11, -21, 4, -16.7, -4?
-16.7
Which is the smallest value? (a) -2 (b) -5 (c) -29143
c
What is the third biggest value in 2, 10/7, 149?
10/7
Which is the third biggest value? (a) -1 (b) 1131 (c) 5
a
What is the smallest value in -5/8, -1.2, 2/247?
-1.2
What is the third smallest value in 2, 20513, 28, -2, 0.3?
2
Which is the smallest value? (a) 2/7 (b) -8 (c) 3 (d) 0 (e) -6/11
b
What is the fifth biggest value in -3, -2, 2/3, -21, 20, 4?
-3
What is the third biggest value in -97, 0.84, -9/2?
-97
What is the fifth smallest value in -0.4, 1/3, 0, -6/5, -1, 129?
1/3
What is the biggest value in 1968, 7, 3, 0.04?
1968
What is the smallest value in 5, 2/9, -508, 2, -1?
-508
What is the fifth biggest value in -1/5, 0.28, -1/13, 4, 1?
-1/5
What is the second biggest value in 0.18, 7, 169?
7
What is the third smallest value in 4746, 4/3, 4?
4746
Which is the third smallest value? (a) 125 (b) -3 (c) -62
a
Which is the second biggest value? (a) 2/13 (b) -20 (c) -1 (d) 2/5
a
Which is the second biggest value? (a) 2 (b) -0.4 (c) -5 (d) -12381
b
Which is the third biggest value? (a) 1 (b) 16174/15 (c) -2
c
Which is the smallest value? (a) -3/868 (b) -5 (c) -1/7 (d) 1 (e) -3/7
b
What is the fourth smallest value in -1, 0.89, -3/5, -19/4?
0.89
Which is the third biggest value? (a) -0.1 (b) 2/11 (c) -114 (d) 0.3 (e) -30
a
What is the biggest value in 0.03, 0, 189, 21?
189
What is the third biggest value in -5, -2/986605, -0.3?
-5
Which is the fourth smallest value? (a) -2/3 (b) -10.7 (c) -3/317 (d) 5 (e) -0.2
c
What is the fourth smallest value in -1, -2/143, 2/5, 0.1, -1/22?
0.1
Which is the second smallest value? (a) 144160 (b) -0.5 (c) 0 (d) -5
b
Which is the smallest value? (a) 2 (b) 0 (c) -12972
c
Which is the smallest value? (a) -44/37 (b) -6 (c) 0.07
b
What is the sixth smallest value in -6, 0.4, 4, 7, 3/4, 120?
120
What is the second biggest value in 2, -5, -1/2, 5, -0.0769, -1/4?
2
What is the fourth biggest value in -0.1, -5, 2, 1, -66/53?
-66/53
Which is the third smallest value? (a) 1/5 (b) 5 (c) 1033 (d) 0 (e) -3/2 (f) -1/2
d
What is the fourth smallest value in -31, -2/15, -46, -3/8, 2/9?
-2/15
Which is the smallest value? (a) 0.3 (b) -2 (c) -70.8 (d) -3 (e) -0.5 (f) 2
c
What is the third smallest value in -2.163, -1/3, -49?
-1/3
Which is the sixth smallest value? (a) -0.2 (b) 2/65 (c) -2/13 (d) -2/5 (e) 2/5 (f) 2/17
e
Which is the second smallest value? (a) -46 (b) 0.05 (c) 1/6
b
What is the second biggest value in 54, 3/4, 0, 74?
54
Which is the fourth smallest value? (a) -58 (b) -617 (c) -1/3 (d) -0.07
d
What is the fourth biggest value in -1067, 5, -4, 1, 0.5?
-4
What is the second smallest value in -3, 5, 114, 0.2, 19, -8/3?
-8/3
Which is the third biggest value? (a) -0.4 (b) -508.3 (c) 5
b
Which is the third biggest value? (a) -6 (b) 13/16 (c) -4 (d) 4/9
c
Which is the fourth biggest value? (a) 0.5 (b) 4 (c) -449 (d) -2/9
c
Which is the biggest value? (a) -1/6 (b) -4 (c) -42 (d) -67 (e) -1 (f) -0.4
a
What is the biggest value in 171793, 3, -0.2, 2/9?
171793
Which is the fourth smallest value? (a) -0.3 (b) -2/7 (c) 13/3 (d) 0 (e) -1
d
Which is the sixth biggest value? (a) -3 (b) -5/3 (c) 1/51 (d) 1/5 (e) -62 (f) 3
e
What is the fifth smallest value in 277
|
{
"pile_set_name": "DM Mathematics"
}
|
are there between 10:47 AM and 1:25 PM?
158
How many minutes are there between 11:53 PM and 11:11 AM?
678
What is 181 minutes after 2:03 AM?
5:04 AM
How many minutes are there between 9:42 AM and 5:58 PM?
496
What is 144 minutes after 4:29 PM?
6:53 PM
How many minutes are there between 7:21 PM and 5:20 AM?
599
What is 643 minutes before 7:55 AM?
9:12 PM
What is 89 minutes after 9:29 AM?
10:58 AM
What is 526 minutes after 2:51 PM?
11:37 PM
How many minutes are there between 5:37 AM and 2:00 PM?
503
What is 142 minutes before 2:07 PM?
11:45 AM
How many minutes are there between 5:21 AM and 8:32 AM?
191
What is 141 minutes after 3:07 AM?
5:28 AM
How many minutes are there between 2:14 PM and 1:36 AM?
682
What is 374 minutes after 9:39 AM?
3:53 PM
How many minutes are there between 8:09 AM and 12:34 PM?
265
How many minutes are there between 7:41 AM and 11:38 AM?
237
What is 191 minutes after 11:13 AM?
2:24 PM
What is 295 minutes after 2:31 PM?
7:26 PM
How many minutes are there between 4:05 AM and 3:24 PM?
679
What is 568 minutes after 2:13 PM?
11:41 PM
How many minutes are there between 1:36 AM and 4:12 AM?
156
How many minutes are there between 12:54 AM and 5:28 AM?
274
What is 44 minutes before 9:11 PM?
8:27 PM
What is 578 minutes after 2:14 PM?
11:52 PM
What is 309 minutes before 7:01 AM?
1:52 AM
How many minutes are there between 6:16 AM and 10:40 AM?
264
What is 462 minutes after 10:21 PM?
6:03 AM
How many minutes are there between 1:10 AM and 1:09 PM?
719
How many minutes are there between 5:05 AM and 12:04 PM?
419
What is 387 minutes before 2:31 PM?
8:04 AM
How many minutes are there between 7:53 AM and 8:13 AM?
20
How many minutes are there between 4:35 PM and 9:33 PM?
298
What is 543 minutes before 10:52 PM?
1:49 PM
What is 305 minutes before 4:40 PM?
11:35 AM
What is 296 minutes before 3:17 AM?
10:21 PM
What is 704 minutes before 9:30 AM?
9:46 PM
How many minutes are there between 3:25 PM and 11:17 PM?
472
How many minutes are there between 2:26 AM and 10:38 AM?
492
What is 404 minutes before 5:21 PM?
10:37 AM
What is 304 minutes before 6:42 PM?
1:38 PM
How many minutes are there between 2:50 AM and 9:03 AM?
373
What is 538 minutes before 12:37 PM?
3:39 AM
How many minutes are there between 4:11 AM and 3:44 PM?
693
What is 266 minutes after 12:09 PM?
4:35 PM
What is 181 minutes before 2:55 PM?
11:54 AM
What is 524 minutes before 3:48 AM?
7:04 PM
How many minutes are there between 3:08 PM and 3:49 PM?
41
How many minutes are there between 7:51 AM and 12:00 PM?
249
What is 283 minutes before 7:21 PM?
2:38 PM
How many minutes are there between 2:24 PM and 4:58 PM?
154
What is 463 minutes before 4:59 AM?
9:16 PM
How many minutes are there between 2:56 AM and 6:59 AM?
243
How many minutes are there between 1:24 AM and 1:19 PM?
715
What is 676 minutes before 6:10 AM?
6:54 PM
What is 2 minutes before 10:23 AM?
10:21 AM
How many minutes are there between 3:05 AM and 6:32 AM?
207
How many minutes are there between 12:47 PM and 3:52 PM?
185
How many minutes are there between 8:07 PM and 12:11 AM?
244
What is 547 minutes before 2:25 AM?
5:18 PM
How many minutes are there between 12:16 PM and 5:29 PM?
313
How many minutes are there between 3:57 AM and 11:36 AM?
459
What is 620 minutes before 12:48 AM?
2:28 PM
What is 481 minutes before 2:04 AM?
6:03 PM
What is 148 minutes before 11:35 PM?
9:07 PM
What is 266 minutes after 1:01 AM?
5:27 AM
How many minutes are there between 1:50 AM and 8:29 AM?
399
How many minutes are there between 6:38 AM and 3:51 PM?
553
How many minutes are there between 6:26 AM and 7:07 AM?
41
How many minutes are there between 8:42 AM and 11:35 AM?
173
What is 690 minutes before 4:24 PM?
4:54 AM
How many minutes are there between 7:28 PM and 12:02 AM?
274
What is 620 minutes before 10:02 PM?
11:42 AM
What is 669 minutes after 2:02 AM?
1:11 PM
How many minutes are there between 1:26 PM and 10:03 PM?
517
How many minutes are there between 7:37 AM and 3:01 PM?
444
How many minutes are there between 1:12 PM and 8:48 PM?
456
What is 315 minutes after 11:39 PM?
4:54 AM
How many minutes are there between 2:15 AM and 9:16 AM?
421
How many minutes are there between 11:30 PM and 10:52 AM?
682
How many minutes are there between 9:04 PM and 7:29 AM?
625
How many minutes are there between 7:51 AM and 10:06 AM?
135
How many minutes are there between 10:15 AM and 7:03 PM?
528
How many minutes are there between 11:30 PM and 1:27 AM?
117
How many minutes are there between 11:13 PM and 2:28 AM?
195
What is 693 minutes after 2:57 AM?
2:30 PM
What is 663 minutes before 7:56 PM?
8:53 AM
What is 496 minutes before 9:38 AM?
1:22 AM
What is 310 minutes before 12:33 PM?
7:23 AM
What is 463 minutes before 4:23 AM?
8:40 PM
How many minutes are there between 3:33 AM and 1:30 PM?
597
What is 612 minutes after 4:44 AM?
2:56 PM
How many minutes are there between 4:08 AM and 5:04 AM?
56
What is 572 minutes after 1:56 PM?
11:28 PM
How many minutes are there between 8:43 AM and 2:24 PM?
341
What is 110 minutes after 3:04 AM?
4:54 AM
How many minutes are there between 3:37 AM and 6:43 AM?
186
How many minutes are there between 6:16 AM and 2:24 PM?
488
How many minutes are there between 11:18 AM and 5:49 PM?
391
What is 52 minutes before 1:45 AM?
12:53 AM
What is 11 minutes before 2:49 AM?
2:38 AM
How many minutes are there between 11:22 PM and 1:09 AM?
107
How many minutes are there between 10:15 AM and 9:43 PM?
688
What is 144 minutes after 7:37 PM?
10:01 PM
How many minutes are there between 10:52 AM and 2:43 PM?
231
What is 691 minutes before 12:12 AM?
12:41 PM
How many minutes are there between 9:25 AM and 12:48 PM?
203
How many minutes are there between 12:08 PM and 9:44 PM?
576
How many minutes are there between 11:43 AM and 10:26 PM?
643
What is 520 minutes before 1:50 AM?
5:10 PM
How many minutes are there between 3:49 AM and 9:21 AM?
332
How many minutes are there between 9:56 AM and 3:49 PM?
353
What is 681 minutes before 4:33 PM?
5:12 AM
How many minutes are there between 1:28 PM and 9:20 PM?
472
How many minutes are there between 12:04 AM and 5:31 AM?
327
How many minutes are there between 7:54 PM and 8:29
|
{
"pile_set_name": "DM Mathematics"
}
|
m (b) -3 (c) q (d) -4/3
a
Let h be ((-1)/2)/((-10)/5). Let t = 20 + -24. Let r = -3 - t. What is the biggest value in -1/3, r, h?
r
Let h = 0.8 + -0.3. Let r = -1.5 + h. Which is the third biggest value? (a) r (b) -1/5 (c) -0.3
a
Let i = 688 + -2062/3. What is the second smallest value in -23, -4, i, 0.3?
-4
Let o be 1214/(-16)*10/10. Let p = o + 76. What is the third smallest value in 0, p, -1, -0.3?
0
Let c = -16.8 - -16.3. Let n = -3 + 4. What is the second smallest value in n, 3, c?
n
Let p = -0.3 - -0.32. Let h = 2/27357 - 18248/136785. Let j = -0.7 - 0.3. What is the second smallest value in p, h, j?
h
Let q = -7.3 - -7.2. Let i be 4 + (-20)/8 + (3 - 2). Which is the second biggest value? (a) -5/4 (b) i (c) 0 (d) q
c
Let l = -2012.5 + 2012. What is the biggest value in 7, l, -2/7, -0.03?
7
Let m be (-1)/(-2)*22/33. What is the biggest value in -2, m, 5?
5
Suppose -13*g + 5680 = 1585. What is the third biggest value in -5, g, -5/4?
-5
Let x = -241/68 + 56/17. What is the biggest value in 1, -0.12, x?
1
Let p(t) = -t**3 - 11*t**2 + 14*t + 27. Let n be p(-12). Let w = 0.16 - 6.16. Let m = w - -1. Which is the third smallest value? (a) m (b) 1 (c) n
c
Let f(x) = -x**3 + 3*x**2 + 2*x + 6. Let r be f(4). Let z be ((-4)/18)/(1/(-3)). Which is the fourth smallest value? (a) z (b) 0.1 (c) 0.5 (d) r
a
Let z = 3.16 - 2.86. Which is the second smallest value? (a) 0.2 (b) -3/13 (c) z
a
Suppose 0 = -3*d - 0 + 6. Let f = 2760 - 2760.5. What is the smallest value in 4/7, d, f, -2?
-2
Let h = -165 - -164.93. Let n = -0.7 + -0.3. Which is the second smallest value? (a) n (b) h (c) 0.2 (d) -2/9
d
Let p = -230.58 + 230.65. Let g(q) = q**2 - 3*q + 1. Let w be g(2). Which is the smallest value? (a) w (b) 4/7 (c) p
a
Let r = 87 + -87. Let l be (-2)/(-3)*54/(-24). Which is the smallest value? (a) l (b) 2/7 (c) r
a
Let t = -1.07 - -6.07. Which is the second smallest value? (a) 2 (b) 36 (c) t (d) 1/4
a
Let f = -0.124 - -0.524. Let y = -18/137 - 2960/411. Let o = 7 + y. What is the second smallest value in f, o, 0?
0
Let i = 0.098 - -0.122. Let u = -11/168 - -4/21. Which is the second biggest value? (a) i (b) -0.4 (c) u
c
Let r = 553 - 570. Let z(l) = -18*l + 16*l**2 - 11 + 4 + l**3 - 2. Let t be z(r). Which is the smallest value? (a) -5 (b) 5/3 (c) t
a
Let m = 6 + -5.8. Let i = -0.64 - -0.04. Let s = i + 0.3. What is the third biggest value in s, m, 0.01?
s
Let m be 3144/10*(-800)/(-24). Let q be (-2)/(-3) + m/30. Let i be 170/q - 2/7. What is the biggest value in 3/5, i, -3/2?
3/5
Let l = 1624 + -1623.5. What is the biggest value in l, 2/7, -0.2, 0.4?
l
Let s = 4 - 20. Let l = -10 - s. Let m = -0.8 + 1.1. What is the second smallest value in -1, m, l?
m
Let o be -7 + (304/20)/2. What is the smallest value in 1, 7, o, 0.2?
0.2
Let v = 8.5 + -26.5. Let s = -17.98 - v. What is the third biggest value in -2/11, -4, -0.8, s?
-0.8
Let x = -26879/7 + 3821. Let k = -783/7 + 912/7. Let f = x + k. Which is the third smallest value? (a) -8 (b) -4/7 (c) f
c
Let x = 22 - 6. Let h = 288 - 272.3. Let y = x - h. Which is the biggest value? (a) 3/7 (b) y (c) 3
c
Let t = 0.01 + 1.59. Let u = t + -1.3. What is the second smallest value in -4/5, u, 4?
u
Let v = -13 - -8. Let w = 0.6339 + 0.2661. Which is the third smallest value? (a) w (b) -2 (c) v
a
Let n = -10.8 + 10. Let o = n + 0.76. Let l be (2/40)/((-36)/90). What is the second smallest value in o, l, 3/7?
o
Let m = -4.91 - 0.09. Let n = 10 - 7. Let t = n + 1. What is the second biggest value in m, t, -0.5?
-0.5
Let o be 67 + -69 + ((-1)/1)/(-1). What is the biggest value in 2, 5, o, 739?
739
Suppose -3*d + 5*v - 1 = 0, 4*d + 13 = -6*v + v. Which is the second biggest value? (a) d (b) -11/3 (c) 1
a
Let n be (6 - (-888)/(-150)) + (-16)/75. Suppose 0 = -4*p - z - 14, -3*z = 5*p + z + 23. Which is the second biggest value? (a) -1/3 (b) n (c) p
a
Let r = -163.3 + 163. Which is the third smallest value? (a) r (b) -2/3 (c) 9 (d) 0.4
d
Suppose 7*p = 22 + 34. Let h = p + -11. Let r = 2.3 - 1.8. Which is the third smallest value? (a) h (b) r (c) 0.4
b
Let q be 6 - (-20)/(-4 + -1). Suppose -2*i + q*h = -6, 5*i = 2*h + 7 + 5. Suppose -w = w + 2. What is the third biggest value in i, 0.2, w?
w
Let x = 36.083 + -0.083. Let g = x + -40. Which is the second smallest value? (a) -3 (b) 1 (c) g
a
Let a be (29/(-203))/((-2)/(-8)). What is the third biggest value in 4
|
{
"pile_set_name": "DM Mathematics"
}
|
6?
-140040521
What is 27874a2 (base 13) in base 12?
4228314
Convert 1101100001000101 (base 2) to base 3.
2210221120
-10220101000 (base 3) to base 9
-126330
What is -1606145 (base 7) in base 4?
-311313113
3532635 (base 10) to base 2
1101011110011101011011
10a7705 (base 13) to base 10
5128986
What is 20550215 (base 7) in base 6?
101210312
3403562 (base 8) to base 3
1201201012020
What is -2163820 (base 9) in base 13?
-319b60
Convert -133270 (base 11) to base 2.
-110011000110000110
26011540 (base 7) to base 6
122255221
What is 100111100100010010 (base 2) in base 4?
213210102
Convert ce49 (base 15) to base 4.
22223013
514b04 (base 16) to base 14
9c97a4
What is 1214223104 (base 6) in base 8?
65070020
Convert -10134300231 (base 5) to base 7.
-154634052
What is 7a4cd (base 14) in base 9?
502752
What is 2a1506 (base 13) in base 11?
644875
What is 18526404 (base 9) in base 2?
100011101010000111101110
What is 10070b7 (base 14) in base 10?
7548905
Convert -2751745 (base 8) to base 16.
-bd3e5
What is 4633910 (base 12) in base 11?
7694a84
What is 97927 (base 12) in base 7?
1462141
What is 211415 (base 11) in base 2?
1010010101010001110
-110201214 (base 6) to base 10
-1975402
26079 (base 15) to base 12
5a466
1d40bc (base 15) to base 8
5353211
-21ba91 (base 14) to base 13
-311a08
-48b425 (base 13) to base 9
-3238734
1212002021 (base 3) to base 4
20322133
-87898 (base 14) to base 2
-1010000001000101110
What is 117a7 (base 12) in base 13?
a984
-10675654 (base 8) to base 16
-237bac
What is -70801 (base 10) in base 8?
-212221
What is -39c81 (base 13) in base 3?
-12110120210
What is 24113552 (base 6) in base 16?
b8acc
What is 341633 (base 16) in base 3?
20102102111222
-bcd5e (base 15) to base 11
-380099
369778 (base 13) to base 10
1306300
Convert 6665a (base 12) to base 7.
1103452
816303 (base 10) to base 7
6636615
-213116 (base 14) to base 4
-10102003100
What is -7380705 (base 9) in base 12?
-13a6072
Convert 78bc8 (base 14) to base 4.
1013211030
What is -249d1c (base 14) in base 9?
-2324632
Convert 13300236 (base 8) to base 11.
1757501
Convert 848811 (base 14) to base 15.
5d752b
Convert 5638140 (base 9) to base 7.
34546416
Convert -3bb84 (base 13) to base 7.
-643666
655583 (base 11) to base 15
15a2ac
What is -11112133 (base 5) in base 11?
-67523
Convert -21211064 (base 8) to base 9.
-8458344
What is -32280480 (base 9) in base 2?
-111011011100011000110011
-1001011101000100101 (base 2) to base 4
-1023220211
What is 3051423 (base 6) in base 12?
70b73
7780c0 (base 14) to base 11
2320201
Convert -623227 (base 10) to base 5.
-124420402
What is -110110000001110001001 (base 2) in base 3?
-10022221111112
480462 (base 9) to base 16
46928
-5c4a86 (base 13) to base 4
-20123133321
2245116 (base 7) to base 13
9a770
Convert -2111002102122 (base 3) to base 12.
-538245
What is -147257 (base 9) in base 10?
-90610
What is 5dc28 (base 15) in base 5?
34042423
What is -14532223 (base 6) in base 11?
-319068
74819 (base 11) to base 4
122203333
What is -34313122 (base 5) in base 12?
-1299b3
Convert -5668a (base 15) to base 3.
-111222000211
What is 15026 (base 13) in base 9?
60255
-2002212201012 (base 3) to base 16
-11152d
-273990 (base 12) to base 2
-10011110100010111100
Convert -cda85e (base 15) to base 5.
-10002300024
Convert 702305 (base 9) to base 11.
263918
What is -206b25 (base 14) in base 15?
-169386
-23201133 (base 4) to base 9
-71663
Convert 73ddc1 (base 14) to base 2.
1110111100101001000101
203553404 (base 6) to base 11
2001751
Convert 7844314 (base 9) to base 10.
4221895
What is 2305285 (base 11) in base 3?
21120220121012
-345a390 (base 12) to base 4
-212123222130
What is -1a99b (base 13) in base 16?
-cbd4
What is 353550 (base 7) in base 8?
174367
What is 3572405 (base 9) in base 7?
22316024
Convert 534b8 (base 12) to base 15.
22705
What is -212212121020021 (base 3) in base 5?
-11222001220
What is 2243025 (base 6) in base 14?
2db3b
Convert 555313 (base 8) to base 6.
4002043
Convert -957016 (base 12) to base 4.
-20333001102
What is -5a297 (base 16) in base 10?
-369303
5716a (base 11) to base 3
11012110200
Convert -644023 (base 7) to base 11.
-77029
7ef3f (base 16) to base 12
210b13
What is 3533 (base 14) in base 16?
2429
Convert 541312540 (base 6) to base 14.
13b8b36
Convert -1011101011011000111 (base 2) to base 6.
-12111331
What is -111521455 (base 6) in base 3?
-10212001102122
What is -18599 (base 10) in base 6?
-222035
Convert 113203012 (base 6) to base 5.
1020200403
Convert -306452 (base 9) to base 8.
-543204
Convert -3062226 (base 8) to base 5.
-201442212
What is -29a6a (base 13) in base 6?
-1404121
-9b50 (base 12) to base 16
-432c
What is 1051325 (base 8) in base 15?
58e4e
What is -181718 (base 12) in base 7?
-3356063
What is -13148 (base 14) in base 5?
-3000113
Convert -535403 (base 11) to base 4.
-3101010000
Convert 32000030 (base 6) to base 7.
10634343
What is -22c21 (base 14) in base 4?
-110223131
-45063 (base 9) to base 14
-acb0
Convert 1323311221 (base 4) to base
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 49 = 2*a + 21. Calculate the lowest common multiple of 176 and a.
1232
Let r(i) = i**3 + 4*i**2 + 4*i + 3. Let b be r(-3). Suppose -a - 3 = b, 2*o + 3*a + 33 = o. What is the common denominator of 41/11 and (-1)/4 + 194/o?
33
Calculate the common denominator of -83/8 and (-2)/(-28)*-4 - 180/(-1806).
344
Let m(u) = -44*u + 135. What is the smallest common multiple of 287 and m(1)?
3731
Let h = -1 + -20. Let b = -1/2731 + -237589/21848. Calculate the common denominator of (-14)/h + 194/(-84) and b.
56
Suppose 2*u - 11 + 7 = 0. Let g be 20*(u - 6/4). Calculate the lowest common multiple of 1*55*4/g and 20.
220
Let c = -74643/20 + 18691/5. Find the common denominator of -61/28 and c.
140
Let z(b) = b**3 + 6*b**2 + 4*b - 3. Let l be z(-5). Suppose v - 12 = 3*t - 0, -l*t - 36 = -3*v. Calculate the least common multiple of v and 22.
132
Let l = -2 - -5. Suppose 0 = -2*n + 2 + 4. Suppose -21 = -4*m + n. What is the lowest common multiple of l and m?
6
Let u = 9245333199/530 - 17444036. Let c = u + 21/53. Calculate the common denominator of c and 93/8.
40
Let d = -2259 + 13613/6. Let g be ((-14)/(-8))/(2 + (-105)/20). Let j = g - -105/26. Find the common denominator of j and d.
6
Let t = 594 + -543. Calculate the smallest common multiple of 2 and t.
102
Calculate the common denominator of -119/48 and (-1*280/(-16))/2.
48
Suppose 0*d - 2*d + 16 = 0. Let b(h) = -h**2 + 9*h - 4. Calculate the smallest common multiple of 14 and b(d).
28
Let c = 4 - 7. What is the common denominator of (24 - 4)*(2 + 115/(-60)) and (2/4)/((-1)/c)?
6
Calculate the least common multiple of 273 and (-1*4)/(136/(-510)).
1365
Find the common denominator of 5/3*(-27)/36 and 95/16.
16
Let p = -785 - -817. Calculate the least common multiple of p and 8.
32
Let s = 973 - 6843/7. What is the common denominator of -2/35 and s?
35
Let l(z) = -3*z - 3. Let p be l(-4). Let q(m) = m**2 - 8*m - 5. Calculate the lowest common multiple of q(p) and 14.
28
Let h(r) = 10*r**2 + 24*r + 17. Let g be h(13). Let s = 34337/17 - g. Calculate the common denominator of s and (117/(-12))/((-22)/8).
187
Find the common denominator of (-2*(-1)/99)/((-140)/(-13335)) and -71/12.
132
Suppose -53*a + 54*a - 2*y - 26 = 0, -4*y - 4 = 0. Calculate the smallest common multiple of 34 and a.
408
Let z = -246481/50 - -4929. Let o = 10081 - 181417/18. Find the common denominator of z and o.
450
Let v(w) = 2*w - 4. Let m be v(-2). Let c(g) = -5*g - 26. What is the lowest common multiple of -2 + (5 - (-1 - -2)) and c(m)?
14
Let o be (-2 - -4) + 1 + 8. Let f(m) = -m**2 + 10*m + 19. Suppose 24 = 4*d + 4*v, -5*d - 2 = -2*v - 4. Calculate the least common multiple of d and f(o).
8
Let u(a) be the third derivative of 0*a**3 + 0*a - 1/8*a**4 - 1/15*a**5 - 4*a**2 + 0 - 1/40*a**6. What is the smallest common multiple of 18 and u(-2)?
126
Let m(d) = 239*d**3 + 3*d - 2. Let b be m(1). What is the common denominator of (-1132)/b + ((-7)/4)/7 and -49/20?
60
Let i(b) = 2*b**3 + 2*b**2 - 1. Let f be i(-4). Calculate the common denominator of -110*((-63)/36 + 2) and f/(-20) - 12/16.
10
Let i(h) = 0*h - 34 + 32 - 38*h - 5*h. Let v be i(6). What is the common denominator of (v/351)/(2/(-12)) and 7/8?
72
Let q = -59 + 68. Suppose -9*u - 16 = -7*u. Let g(s) = -s**3 - 9*s**2 - 9*s - 4. Calculate the lowest common multiple of q and g(u).
36
Let m be (-2)/(-9)*-3 - (-100303)/18. Let r = m + -5579. Find the common denominator of -35/3 and r.
18
Let o = 5340 - 197538/37. Calculate the common denominator of 9/11 and o.
407
Let m = 4 + -12. Let w be (-30)/27*5862/m. Let a = 794 - w. Find the common denominator of -59/16 and a.
48
Calculate the common denominator of 287*(-4)/160 - (-2 - 3) and -9/32.
160
Suppose 5*r + 5*u + 15 = 0, -u - 23 = r + 4*u. Suppose -18 = -4*z - r, -3*c + 7 = -2*z. Find the common denominator of c/(-20) - (-194)/(-56) and 38/11.
77
Calculate the common denominator of (-22)/220*295/(-186) and -7/2.
372
Let d(p) = p - 13. Let j be d(17). Suppose -j*l - 4*m = -0*m - 20, -3*l = -5*m + 9. Calculate the least common multiple of 22 and l.
22
Suppose 22*t - 15 = 17*t. Suppose 0 + 1 = q + 5*h, 0 = t*q + 5*h - 33. Calculate the least common multiple of q and 8.
16
Suppose 14*r - 13*r = 20. Calculate the lowest common multiple of 8 and r.
40
Suppose 5927 = 36*u - 5089. Calculate the least common multiple of 4 and u.
612
Let d = 232 + -199. What is the least common multiple of 9 and d?
99
Let m = -3559 - -2451. Find the common denominator of (-3)/4 - m/48 and 3 - ((-466)/(-88) + 4/16).
33
Suppose 364 = 5*y - n, 236 = 92*y - 89*y - 5*n. Calculate the lowest common multiple of y and 88.
792
Suppose 7 = -y + 5*k + 26, -k = 2. What is the lowest common multiple of 6 and y?
18
Find the common denominator of -73/318 and 570/2400 + 1/5.
2544
Let t(a) = -a - 7. Let v be t(6). Suppose 0 = 2*o - 0*o - l - 35, 0 = -o - 3*l. Let d = v + o. Calculate the lowest common multiple of 16 and d.
16
Suppose 0 = 5*t - 404 + 154. Let k = -69/16 - 553/48. Calculate the common denominator of 176/t + (-10)/10 and k.
150
Let a = -49584 - -3272615/66. Find the common denominator of a and 52/27.
594
Let d = -75 - -141. What is the common denominator of (d/(-108))/((-6)/45) and 13/12?
12
Let g = 201 - 99. Let d = -96 + g. Calculate the least common multiple of 11 and d.
66
Let s = 344 - 340. What is the lowest common multiple of s and 9?
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 12. Let j(y) be the third derivative of h(y). Factor j(p).
-4*(p - 2)*(p + 1)**3
Let t = 80 + -77. Let o(n) be the first derivative of 1/4*n**t + 0*n - 3/8*n**2 - 6. Factor o(s).
3*s*(s - 1)/4
Determine t so that 13*t**2 + 22*t**2 + 15*t + 2*t**3 + 42*t + 7*t + 31 = 0.
-31/2, -1
Let r(a) be the second derivative of 3*a**5/20 - 19*a**4/4 + 35*a**3/2 - 51*a**2/2 + 386*a. Factor r(q).
3*(q - 17)*(q - 1)**2
Suppose 0 = -4*f - 5*h + 16 + 7, -f + 11 = 3*h. Factor 18*k - 2*k - k**4 + 24*k**f + 5*k**4 + 6 - 2 + 16*k**3.
4*(k + 1)**4
Suppose 72 = 48*s - 42*s. Let h be 4/10*s/8. Suppose 6/5*g + 3/5 + h*g**2 = 0. Calculate g.
-1
Let w be (-259)/9 + 14 - -15. Suppose 0 - 4/9*n + 2/9*n**2 + w*n**3 = 0. Calculate n.
-2, 0, 1
Let b(i) be the first derivative of 5 - 1/8*i**4 + 0*i - 1/4*i**2 + 1/3*i**3. Factor b(m).
-m*(m - 1)**2/2
Let i = 89 - 265/3. Let h = i + 1/12. Factor -h*o**2 + 3/2 + 3/4*o.
-3*(o - 2)*(o + 1)/4
Let a(h) = -147*h**3 + 3*h**2 - 2*h - 1. Let u be a(1). Let l = u + 149. Factor 8/3 + 1/3*g**3 + l*g**2 + 4*g.
(g + 2)**3/3
Let p be (5/(-5))/(-2 + 3). Let o be (-9)/(-18)*(1 + p). Determine i, given that o*i**3 + 0*i + 3/5*i**2 - 3/5*i**4 + 0 = 0.
-1, 0, 1
Suppose 6 = n - u - 0*u, 3*n + 4*u = 4. Let t(b) = -b**2 - 3*b + 2. Let f be t(-3). Find x such that -2*x**n + 6*x**4 - 6*x**4 - f*x**5 = 0.
-1, 0
Let s = -78 + 81. Factor -4*v**s - v**2 + 296*v - 284*v - 7*v**2.
-4*v*(v - 1)*(v + 3)
Solve 0 + 2*x + 12/7*x**2 - 2/7*x**3 = 0.
-1, 0, 7
Let k(m) be the first derivative of -m**4/28 + 3*m**3/7 + 3*m**2/2 + 17*m + 23. Let j(t) be the first derivative of k(t). Factor j(d).
-3*(d - 7)*(d + 1)/7
Let j be ((1248/585)/((-4)/(-10)))/(12/2). Let -j + 4/9*m**2 + 4/9*m = 0. Calculate m.
-2, 1
Let n(t) be the first derivative of -2*t**3/3 + 42*t**2 - 82*t - 453. Solve n(g) = 0.
1, 41
Suppose 26 = 2*r + 2*j, -3*r - j = -4*j - 51. Suppose -2*x - 10 = -4*x - 3*l, -5*l + r = 3*x. Factor -9 - 4*p - 2*p**2 - x*p + p**2 + 3*p.
-(p + 3)**2
Find b, given that -13500/13*b**5 - 1530/13*b**3 + 9450/13*b**4 - 2/13*b + 0 + 94/13*b**2 = 0.
0, 1/15, 1/2
Let t(q) be the second derivative of -5*q**7/7 + 7*q**6/6 + 5*q**5/4 - 35*q**4/12 + 5*q**3/6 - 2*q + 30. Determine z so that t(z) = 0.
-1, 0, 1/6, 1
Let b(m) be the second derivative of 1/2*m**3 + 1/16*m**4 + 0 + 9*m + 9/8*m**2. Factor b(l).
3*(l + 1)*(l + 3)/4
Suppose 0 + 66*d**3 + 3/2*d**5 + 36*d**4 + 0*d + 0*d**2 = 0. What is d?
-22, -2, 0
Let s(q) be the third derivative of q**5/36 - 1085*q**4/72 - 160*q**2 - 2. Find o such that s(o) = 0.
0, 217
Let y(p) be the second derivative of -p**4/20 + 23*p**3/10 - 33*p**2/5 + 407*p. Factor y(z).
-3*(z - 22)*(z - 1)/5
Let f(n) = -2*n**3 + 77*n**2 - 215*n + 8. Let q be f(3). Determine h, given that 6/5*h**4 + 0 + 4/5*h - q*h**2 - 8/5*h**3 = 0.
-1, 0, 1/3, 2
Let j(u) be the first derivative of 7*u**3 - 3/2*u**2 - 45/4*u**4 + 39/5*u**5 - 2*u**6 - 4 + 0*u. Factor j(f).
-3*f*(f - 1)**3*(4*f - 1)
Let y(m) = m**3 - 26*m**2 + 19*m + 153. Let x be y(25). Let i(z) be the second derivative of 1/18*z**x - 1/36*z**4 + 0 + 1/3*z**2 + 12*z. Factor i(w).
-(w - 2)*(w + 1)/3
Let a(l) be the third derivative of l**7/945 - 7*l**5/270 - l**4/18 + 12*l**2 + l. Factor a(m).
2*m*(m - 3)*(m + 1)*(m + 2)/9
Let f = -41689 + 83555/2. Solve 75/2*z**4 + 63/2*z - f*z**2 + 45/2*z**3 - 3 = 0 for z.
-2, 1/5, 1
Let n(f) be the second derivative of 7/135*f**6 + 0 + 0*f**3 + 0*f**2 + 0*f**4 - 1/45*f**5 - 5/189*f**7 - 7*f. Factor n(q).
-2*q**3*(q - 1)*(5*q - 2)/9
Let j(v) = -v**3 + v + 5. Let x be j(0). Suppose -2*d = c - 2*c - 7, -2*c = 2. Factor 6*a + 6*a**2 + 3*a**x - 6 + 2*a**3 + d*a - 8*a**3 - 6*a**3.
3*(a - 1)**3*(a + 1)*(a + 2)
Let a be (11758/1680 + -7)*-1. Let k(d) be the third derivative of a*d**7 + 0 + 0*d + 6*d**2 + 1/120*d**5 + 0*d**4 + 0*d**3 + 1/160*d**6. Factor k(n).
n**2*(n + 1)*(n + 2)/4
Let i(h) be the third derivative of -h**8/3360 - h**7/315 -
|
{
"pile_set_name": "DM Mathematics"
}
|
s the value of 6 - (0 - (-3 + 2))?
5
What is 1 - -3 - ((-9 - 0) + 12)?
1
(0 - -3 - 4) + 4
3
Calculate -2 + (5 - 4 - 0).
-1
Calculate -3 + (-9 - -1) + 20.
9
Evaluate (-5 - -4) + 0 + 3 + -2.
0
What is -4 + (10 - 0) + (-4 - 0)?
2
Evaluate 3 + 1 + -10 - 3.
-9
Evaluate 7 + (4 - 4) + 12 + -14.
5
What is -3 + 6 - (1 - 4)?
6
108 + -103 + (-2 - -1)
4
Calculate 2 + (4 - 5 - 2).
-1
What is (-5 + 0 - -4) + 3?
2
What is -5 + 1 - (1 + 2)?
-7
What is 4 - (4 + -11 + 5)?
6
What is -6 - (-17 + 4) - 3?
4
Calculate (-19 - -15) + -2 + 2 - -2.
-2
-2 - (0 + -6 + 6)
-2
Evaluate (-13 - -3) + (6 - (-4 - -5)).
-5
What is the value of 2 + (-13 - -1) + 5?
-5
What is -6 + (-5 - -6) - -2?
-3
Calculate -2 + -2 + 3 + 1.
0
Evaluate -5 - ((-5 - (3 + -3)) + 3).
-3
Evaluate 0 + 4 + -6 + 6.
4
What is the value of 3 - (-3 - -3) - (-23 + 28)?
-2
What is the value of (0 - (-9 + 4)) + -2 + -2?
1
What is the value of -1 + 1 + 3 + -13 - -2?
-8
What is the value of -30 + 3 + 13 + 19?
5
What is 0 + 7 + (-9 - -5)?
3
(9 - (5 + -4)) + -10 + 6
4
Evaluate (0 - 8) + -10 + 21.
3
Evaluate -9 + 4 + (5 - 6).
-6
Evaluate (-8 - (-7 + -1)) + -5.
-5
What is -5 + (2 - -2) + 5 - 7?
-3
5 - (0 + (-6 - -3) - -5)
3
Calculate 0 + 2 + -1 + (6 - 6).
1
What is the value of -4 + (-4 - -6) - -2?
0
-14 + 3 + (3 - -5)
-3
0 + (-2 - -3) + -4 + -3
-6
Calculate -6 + (9 - 4) - (2 - 1).
-2
What is the value of 3 + -13 + 5 - -3?
-2
What is the value of 5 - 9 - (-4 + -1)?
1
Evaluate -6 + (4 - 3) + 0.
-5
-2 + (6 - 0) + -2
2
(16 - 0) + -10 - -2
8
What is the value of 0 + (0 - -4 - 0)?
4
Calculate 1 - (-3 - -4) - (-1 + -4).
5
Evaluate -18 - (-7 + -11 + 10).
-10
What is 18 - 20 - (2 - (-2 - -9))?
3
Calculate -2 + (5 - (0 - (-4 - -1))).
0
Calculate 4 + (-6 + -1 - (0 + -2)).
-1
Calculate -9 + (-2 - (-9 - 0)).
-2
Evaluate 4 - -1 - ((8 - 6) + -3).
6
What is (0 - 0) + -1 + 1 + 1?
1
23 + -18 - (7 - -2)
-4
Evaluate -6 + (6 - 1 - (6 - 4)).
-3
Calculate -4 + 1 - -4 - (-3 + 6).
-2
What is the value of (2 - 3) + (3 + 1 - -4)?
7
What is 6 + 7 + 1 + -16?
-2
What is 0 - (3 + -2 + 2 + 0)?
-3
Calculate (-2 - (-10 - 3)) + -7.
4
Calculate -4 - ((-6 - -10) + (-2 - 4)).
-2
What is the value of -8 + 0 + (7 - 4) + 5?
0
Calculate -8 - (1 + -1) - -14.
6
Calculate 9 - -3 - (-8 - -19).
1
What is 8 - (6 + -3) - (36 - 30)?
-1
What is -20 - -6 - -4 - -4?
-6
What is the value of (4 - (-1 + 5)) + 0?
0
2 + 9 - (63 - 57)
5
What is 3 + 3 + -9 - -2?
-1
1 + 0 + (4 - 0) - 1
4
What is the value of -13 - (-6 - (-2 - -5 - 3))?
-7
Evaluate (-7 + 1 - (8 - 11)) + 1.
-2
Calculate -1 + (7 + 8 + -3 - 2).
9
(-2 - -18) + -9 + (-4 - 1)
2
-5 - (-5 - 1) - 2
-1
Evaluate -3 + 6 + (3 - 1).
5
What is 2 - (0 - 2 - (-5 + 0))?
-1
Evaluate (0 - 4 - (0 + -3)) + 1.
0
What is the value of (6 + -1 - 4) + -4?
-3
Evaluate 6 - (3 + 7 + -3).
-1
What is -2 + 2 + 11 - 2?
9
Calculate 9 - 10 - (-2 - -5).
-4
What is the value of -4 + 9 - (4 + 4 + 4)?
-7
Evaluate 14 + -10 - (2 - -4).
-2
Calculate -1 - (-5 - -6) - -1.
-1
Calculate -4 - 0 - (7 + -12).
1
What is the value of 4 + 2 + (7 - (-13 - -20))?
6
-4 - 7 - -5 - (0 - 6)
0
3 - (-5 + 4 + 3)
1
Evaluate -3 + -4 + 3 + 0 - 2.
-6
Calculate 2 + 2 - (-3 - (-11 - -7)).
3
What is the value of -4 - (1 + 0 + (-9 - -9))?
-5
Evaluate -7 + -4 + (7 - -5).
1
Evaluate (-10 - (12 + -20)) + (-4 - 1).
-7
What is -4 + 4 + 2 - (-4 + 4)?
2
1 + (-5 - (-10 - -2))
4
(24 - 10) + -11 + 3
6
What is -1 + (1 + -3 - -2) + -2?
-3
What is the value of 0 - -5 - (18 - (-4 - -11))?
-6
Evaluate 2 + (0 - 1) + -4.
-3
Calculate -4 - (-19 + 7 - -4).
4
-4 + -2 - (2 + -10)
2
What is 1 - (8 - 3) - (0 + -5)?
1
5 - (6 - -2) - (-8 + 2)
3
What is the value of 6 + ((-22 - -7) + 3 - 0)?
-6
Calculate -2 + -9 + 3 + (5 - 0).
-3
What is the value of 0 - (2 + (2 - 3) - 3)?
2
What is 8 - (5 - -3 - -5)?
-5
Evaluate -8 - (-2 - (-5 - -16)).
5
Evaluate 4 - 3 - (0 + 0 - -1).
0
Evaluate 5 + (-6 - (-12 + 9)).
2
Evaluate (-5 - -7) + -2 + (3 - 1).
2
Evaluate 3 - (-4 + 6 - 2).
3
0 + -2 + -1 + (5 - 3)
-1
Calculate -8 + 0 + -9 + 10 - -2.
-5
Evaluate 1 + -6 + 11 + -3.
3
What is -8 - (-2 - (1 + 9))?
4
Calculate -140 + 138 - (0 - 0 - 2).
0
|
{
"pile_set_name": "DM Mathematics"
}
|
208)*1 - sqrt(208)))*-1)*4)**2.
640*sqrt(13) + 83216
Simplify -4 + ((sqrt(48) + sqrt(48) + sqrt(192)*-3)/sqrt(8))/(sqrt(30)/(-2*sqrt(10)) + ((sqrt(12)*-1 - sqrt(12))/sqrt(4) - sqrt(3) - sqrt(3))) + -3.
-7 + 8*sqrt(2)/9
Simplify (-3 + (-5*((sqrt(180)*-1 - sqrt(180)) + sqrt(180))*-5)/(3*sqrt(36)/sqrt(4) + sqrt(9) - -6*sqrt(18)/sqrt(2)))**2.
30*sqrt(5) + 134
Simplify -3 + ((2*sqrt(208) + 1)*-6 - (1*sqrt(208)*-6 - (-3*(sqrt(208)*1 + sqrt(208)) - sqrt(208)))**2).
-217 - 48*sqrt(13)
Simplify (((sqrt(126) - sqrt(126)*1)*-1)/(3*sqrt(12)))/((3*sqrt(66) - sqrt(66) - sqrt(66))/sqrt(11) - sqrt(486)*-2).
0
Simplify ((5*(sqrt(480) + sqrt(480)*-1 + sqrt(480)))/(sqrt(120)/(sqrt(20)/sqrt(2))))/(sqrt(72)*2*-2 + (sqrt(72) - 2*sqrt(72))*5).
-5*sqrt(5)/27
Simplify -6*(sqrt(152)/(1*sqrt(392) - sqrt(8)))**2 - 1*(sqrt(684) - (sqrt(684) - (-3*sqrt(684) + -4)**2)).
-37051/6 - 144*sqrt(19)
Simplify (3 + (-5 + sqrt(700) + -3 + sqrt(700))*-3 + (-5 + -6*-4*sqrt(700))*-6)**2.
-171000*sqrt(7) + 15753249
Simplify ((5*(-2 + sqrt(112)) + -5 + -4*(3 + sqrt(112) + 1 + sqrt(112)))**2 + 2)*-3.
-5913 - 2232*sqrt(7)
Simplify ((((sqrt(100) - (sqrt(100)*-2 + sqrt(100))*-2) + sqrt(100))*5)/(4*(sqrt(24)/sqrt(4)*-5 + sqrt(6) + sqrt(6) + sqrt(6))/sqrt(3)))**2.
0
Simplify (-2*((sqrt(600)*4)/sqrt(12) + sqrt(50)))/((sqrt(120)/sqrt(2))/sqrt(6) - 1*sqrt(250)) + -2.
-2 + 5*sqrt(5)/2
Simplify -2*2*((4 + sqrt(272)*1 - -5*(sqrt(272) + -1)) + ((sqrt(272) + 1*sqrt(272)*5)*-3)**2)*3.
-1057524 - 288*sqrt(17)
Simplify ((5 + -4*sqrt(1008)*-2)*2)**2*2.
7680*sqrt(7) + 516296
Simplify (-6*(1*sqrt(576)*4 - sqrt(576) - sqrt(576))/(sqrt(12) - sqrt(432)*1)*4)**2.
110592/25
Simplify 3 + -1 + ((sqrt(119) - (sqrt(119)*1 + sqrt(119)))*-6 - sqrt(119) - sqrt(119))/(sqrt(7) - 5*(sqrt(7) + (sqrt(28) - sqrt(7) - sqrt(7)))).
-sqrt(17) + 2
Simplify (4 + (sqrt(448) + ((sqrt(448)*-1)**2 + 1 - sqrt(448)) - (-5 + sqrt(448)*1 + sqrt(448))**2) + -3)*5.
-6835 + 800*sqrt(7)
Simplify ((0 + 2*(1 + -2 + sqrt(1539) + 4))*1 + 3)**2.
324*sqrt(19) + 6237
Simplify -1*((sqrt(17)*-2*-4 + 4 + -2 + sqrt(68)/sqrt(4) + 3)**2 + 1)*4.
-5612 - 360*sqrt(17)
Simplify (-4*((sqrt(162) + sqrt(162) + 2)*-2 - -2*sqrt(162)*-3)*-4)**2 + 2.
184320*sqrt(2) + 4151298
Simplify 6*-5*6*((sqrt(4212))**2 - sqrt(468)*3).
-758160 + 3240*sqrt(13)
Simplify -2*(-2*(-4*sqrt(153)*1 + sqrt(153))*-1)/(((sqrt(1089)*-2 - sqrt(1089)) + (sqrt(441) - (sqrt(441) - (sqrt(441)*2 - sqrt(441)))) + sqrt(441))*-2).
6*sqrt(17)/19
Simplify 1 + 4*(5*(sqrt(52)*-2*-6 + sqrt(52)))/((sqrt(4) + 5*sqrt(20)/sqrt(5) + sqrt(4))*6).
1 + 130*sqrt(13)/21
Simplify ((sqrt(105) - 2*sqrt(105))/sqrt(7))/(sqrt(12)/(2*sqrt(4))) - (1 + sqrt(5) + sqrt(20) - (4 + sqrt(20)))**2.
-14 + 4*sqrt(5)
Simplify 5 + (-2*(((sqrt(117) + -1)*-6 - ((sqrt(117) - (sqrt(117) + 1)) + 1)) + 3))**2 + -2.
-1296*sqrt(13) + 17175
Simplify 4*(sqrt(108) - (sqrt(108) + 0)) + ((sqrt(108) + sqrt(108)*-3 + sqrt(108))*1 - sqrt(108)) - -1*2*(sqrt(108) + 4 + -2*sqrt(108))**2.
-108*sqrt(3) + 248
Simplify 4*(4 + 5*-3*(-2 + (2*sqrt(252))**2 + sqrt(252))).
-60344 - 360*sqrt(7)
Simplify (3 + sqrt(75) + -2 + (-2*sqrt(75) - sqrt(75)) + (sqrt(75) + 2)*-3*5)**2*1.
4930*sqrt(3) + 22516
Simplify (2*1*sqrt(35) - 6*sqrt(245)/sqrt(7))/((2*sqrt(1500) - sqrt(1500))/(sqrt(12)*2*-2)).
16*sqrt(7)/5
Simplify (-1*(sqrt(63)/sqrt(3)*4 + (sqrt(210)*2 - sqrt(210))/sqrt(10)))/(1*sqrt(18)/(sqrt(600)*-1)).
50*sqrt(7)
Simplify ((sqrt(896) + 2*sqrt(896))*1*6)/(3*(sqrt(288) + (sqrt(288)*-3 - sqrt(288)))*1) + -1.
-4*sqrt(7)/3 - 1
Simplify 5*(sqrt(432) + 0 + sqrt(432) + -3 - (5*(sqrt(432)*-1 + sqrt(432)) - sqrt(432)))*-6 + -5 + 2.
-1080*sqrt(3) + 87
Simplify 1 + (5 + -1 + sqrt(288) + 6*-1*sqrt(288) - (-2 + sqrt(288)*2 + 2*((sqrt(288) + -1)**2 + sqrt(288) - sqrt(288)))) + -1.
-572 - 36*sqrt(2)
Simplify (-2*(sqrt(270)/sqrt(6) + sqrt(40)/sqrt(8) + -4 + (-4 + sqrt(125) + -2)*1))**2.
-720*sqrt(5) + 2020
Simplify (-4*sqrt(2299)*5 - ((sqrt(114)/sqrt(96))**2 + (-3 + sqrt(38)/sqrt(2))**2)) + 1 + 0.
-214*sqrt(19) - 451/16
Simplify (-5*sqrt(66)*3 - sqrt(66)*2*5)/(-6*sqrt(432)/(1*sqrt(8))).
25*sqrt(11)/18
Simplify -1*(1 + sqrt(208) + 1) + 0 - (sqrt(1300)*-1 + 2 - sqrt(91)/((-2*sqrt(63))/sqrt(9))).
-4 + 11*sqrt(13)/2
Simplify ((sqrt(33)/sqrt(1100))**2*6*-3 - ((sqrt(81)/sqrt(3)*4)/(sqrt(36)*6))**2)*-5.
131/30
Simplify (5 + 5 + sqrt(3))**2 + sqrt(3) + (sqrt(3) - (sqrt(27) + 4 + sqrt(3)) - sqrt(3)) - (sqrt(135)/sqrt(5) - (sqrt(3) + sqrt(21)/sqrt(1008))).
181*sqrt(3)/12 + 99
Simplify -5*(-2*(-1*sqrt(833
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -2*k = -2*p - 308, -3*k + 448 = p - 10. List the prime factors of k.
3, 17
Let m(k) = 6*k**2 - 2*k + 1. Let p be m(1). Suppose -4*f + 100 = -4*r, -p*f - r + 2*r + 105 = 0. List the prime factors of 432/f + 2/5.
2, 11
Suppose 5*u - 484 = 3*g, -g + 3*g = -u - 301. Let q = 528 + -301. Let j = q + g. What are the prime factors of j?
2, 37
Let m(l) = 5*l**2 + 4*l + 2. Let f(a) = -4*a**2 - 3*a - 2. Let r(s) = 6*f(s) + 5*m(s). Let j be r(3). Suppose 9*q - j*q = -68. List the prime factors of q.
17
Let u(r) = r + 6. Let z be u(-7). Let a be z/(1*4/72). Let y = a - -30. List the prime factors of y.
2, 3
Let n(b) = -b**3 - b + 3. Let o be n(0). Suppose o*i - 4 = -28. What are the prime factors of 46/((0 - i)/4)?
23
What are the prime factors of 48220/20 - (4 + 2)?
5, 13, 37
Let p(q) = -q**2 + 16*q + 513. List the prime factors of p(0).
3, 19
Let h be 2 + 6*-1 + 21. Let k = -15 + h. Suppose -s = -5*a + 4*s + 35, 14 = k*a - s. What are the prime factors of a?
7
Let y(f) = 133*f**3 - 4*f**2 + 4*f + 3. What are the prime factors of y(2)?
3, 353
Let m(q) = -q + 18. Let f be m(18). Suppose -5*g + 9*g - 188 = f. List the prime factors of g.
47
Let f = -2 - 31. Let p = f + 80. What are the prime factors of p?
47
Suppose -11*o + 7*o - 5*w = -1257, -333 = -o - 5*w. What are the prime factors of o?
2, 7, 11
Let s = -14 - 8. Let u be ((-6)/(-2))/((-33)/s). Suppose 86 = u*l + 3*l - 3*w, 3*l + 5*w = 38. List the prime factors of l.
2
Let l(n) = -n**2 - 3*n + 2. Let s be l(-4). Suppose -4 = 2*b - 4*k - 18, 2*b + 22 = -5*k. What are the prime factors of b/s*(33 - -1)?
17
Let u(h) = 8*h - 3. Let q be u(1). Suppose -3*a + q*l + 88 = 0, 2*a - 4*l = 7*a - 159. What are the prime factors of a?
31
Let v(s) = -23*s + 589. List the prime factors of v(0).
19, 31
Let x(h) = -h**3 + 3*h**2 + 11*h - 5. What are the prime factors of x(-9)?
2, 7, 31
Let z be (-102)/(-9) + (1 - 2/6). Let m(b) = b**2 - 4*b - 18. What are the prime factors of m(z)?
2, 3, 13
Let d(h) = 3*h**2 + 2*h - 26. Suppose -2*n = -3*y + 9, 30 = -5*n + 2*n - y. What are the prime factors of d(n)?
199
Let s(n) = -n**3 + 5*n**2 - 2*n - 3. Suppose -6 = -2*j - 4*h, -3*h + 11 = -4*j - 10. Let y be j*(-2)/3*2. List the prime factors of s(y).
5
Let m = -350 - -1041. What are the prime factors of m?
691
Let b(l) = -8*l**3 + 11*l**2 + 23*l - 3. List the prime factors of b(-5).
13, 89
Suppose -4*d + 2 = -3*d. Suppose 2*b = -8 + d. What are the prime factors of 1/b - 86/(-6)?
2, 7
Let h = 664 + -521. What are the prime factors of h?
11, 13
Let q be (1 + -2 - -25) + 1. Let u be 2*(-2)/14 - (-640)/280. Let o = q - u. List the prime factors of o.
23
Let w(d) = -2*d + 17. Suppose -4*u - 3*i - 17 = 0, -5*u - i = -0*i + 24. List the prime factors of w(u).
3
Suppose 4*s + 0*s = 16680. List the prime factors of s.
2, 3, 5, 139
Let s = 32 - 32. Suppose 2*l - 5*p + s*p - 172 = 0, 0 = -5*l - p + 484. List the prime factors of l.
2, 3
Let y(l) = -13*l**3 + 3*l + 4*l**3 + 33 + 14*l**2 + 10*l**3. List the prime factors of y(-12).
3, 5, 19
Suppose 0 = -33*m + 29*m + 12. Suppose -370 = -m*z - 64. List the prime factors of z.
2, 3, 17
Let c be (-4)/(-1 - 1) - 9. Let t = c + 49. What are the prime factors of t?
2, 3, 7
Let y = 79 + -18. Let n = y + -24. What are the prime factors of n?
37
Let s(y) be the first derivative of y**7/840 - y**6/360 + y**4/8 + 5*y**3/3 - 11. Let o(c) be the third derivative of s(c). List the prime factors of o(2).
7
Let g = 1303 + -393. List the prime factors of g.
2, 5, 7, 13
Let w(a) = 0*a + 0 - 3*a - 3 - 3*a. Let n = 62 + -71. What are the prime factors of w(n)?
3, 17
Suppose -3*u + 2 + 1 = 0. Let g(q) = -q - 8*q - 4 + u. List the prime factors of g(-3).
2, 3
Suppose -4*q = -z + 1139, 9*z - 5*q + 3468 = 12*z. List the prime factors of z.
1151
Suppose -a - 4*a - 2*v = -217, -176 = -4*a - v. What are the prime factors of -2 + a + (-1 - (3 - 1))?
2, 5
Let n(o) = o + 2. Let s be n(3). Let c = -2 + s. Suppose -c*a - 2*a + 15 = 0. List the prime factors of a.
3
Suppose 90 = -13*m + 3*m. List the prime factors of -6*(6/m)/(4/249).
3, 83
Suppose -12 = -2*c - 2*c. Suppose -3*b = 5*i - 201, -b + 4*i - c*i + 75 = 0. Suppose -k + b = 3*k. List the prime factors of k.
2, 3
Suppose 4*q + 36 = -5*f, -4*q + 2*f - 5 = 31. Let x = -5 - q. Suppose -2*v = -x*k - 8, -5*v + k + 4*k = -35. List the prime factors of v.
2, 5
Suppose 2*y + y - 123 = -5*s, -s + 26 = 2*y. Let r = 139 + s. Let c = -116 + r. What are the prime factors of c?
47
Suppose -3*q = -2*l - 0*l - 6, -2*l = -q + 2. Suppose 3*h - 11*h + 984 = l. What
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 4707*l + 5 wrt l.
-315806
What is the third derivative of -36705*p**3*q + 1862*p**2*q + 15*p**2 wrt p?
-220230*q
What is the third derivative of -105072*t**5 + 3*t**2 - 5*t - 198 wrt t?
-6304320*t**2
What is the third derivative of -795*c**2*i**3 - 56*c**2*i + 5*c*i**3 - 2*c*i - 24*i**2 - 2 wrt i?
-4770*c**2 + 30*c
Find the second derivative of 4*b**2*h*t**2 - 1042*b**2*h*t - 4678*b**2*t**2 - 4*b**2*t - 6*b*h*t - 2*b*t + 6*t**2 - 2*t wrt t.
8*b**2*h - 9356*b**2 + 12
What is the first derivative of 31665*f**2*o + 1493*f**2 - f - 9 wrt o?
31665*f**2
What is the derivative of -4*x**4 - 52143*x + 533330 wrt x?
-16*x**3 - 52143
Find the third derivative of 45361*r**2*v**3 - 23*r**2*v + r*v**2 - 24*r*v wrt v.
272166*r**2
Find the third derivative of 64088*j**6 - 157*j**2 + 29*j wrt j.
7690560*j**3
Find the third derivative of -9*z**6 + z**5 + 97*z**3 - 428*z**2 + 26*z.
-1080*z**3 + 60*z**2 + 582
What is the third derivative of 1464627*p**3 - 103*p**2 - 2217 wrt p?
8787762
Find the second derivative of -294568*g**2*o - 2*g*o - 41*g + 3*o + 9 wrt g.
-589136*o
Find the first derivative of 2*m**2*t**3 + m**2 - 2615*m*t**3 + 307395*t**3 wrt m.
4*m*t**3 + 2*m - 2615*t**3
What is the third derivative of -124175*q**3 + 136732*q**2 + 1 wrt q?
-745050
What is the second derivative of -219*o**3*z**4 - 871*o**3*z - 425*o**3 + 773*z**5 wrt z?
-2628*o**3*z**2 + 15460*z**3
What is the second derivative of -r**2*x - 107906*r**2 - 181*r - 117*x wrt r?
-2*x - 215812
What is the third derivative of 8726*n*x**5 + 4*n*x**2 + 4*n*x + 16*n + 10*x**4 + 194*x**2 wrt x?
523560*n*x**2 + 240*x
What is the derivative of -o**3*p**2 - 165*o**3 + o**2 + 282758*o*p - 2*o + 2*p**2 + 13 wrt p?
-2*o**3*p + 282758*o + 4*p
What is the derivative of -2119015*t**4 - 3491028?
-8476060*t**3
Find the first derivative of 265479*h - 1223407 wrt h.
265479
What is the first derivative of -16540*f**4 + 37298 wrt f?
-66160*f**3
Find the first derivative of -2*z**2 + 88767*z + 28402 wrt z.
-4*z + 88767
What is the second derivative of -297357*u**3 - 398194*u wrt u?
-1784142*u
Differentiate 25754*k**3 - 21212.
77262*k**2
Find the second derivative of -5*i**2*z**3 + 4814*i**2*z - 12929*i*z**3 + i wrt i.
-10*z**3 + 9628*z
Find the third derivative of 171927*m**3 - 2850*m**2 + 6*m wrt m.
1031562
Differentiate -818741*t + 67814 with respect to t.
-818741
Find the second derivative of r**3 + 2061*r**2 + 22097*r.
6*r + 4122
Find the first derivative of -2733*r**2*t**2*x + 2*r**2*t**2 + 42407*r**2 - r*x + 2*t**2*x wrt x.
-2733*r**2*t**2 - r + 2*t**2
What is the second derivative of 6874*f**2 - 253687*f?
13748
Find the first derivative of -2*l**2 - 207935*l + 211827 wrt l.
-4*l - 207935
What is the second derivative of -2090*d**3*j**2 + d**3*j + d**3 + 1337*d**2*j**5 + d**2 - 17*d + 1132*j wrt j?
-4180*d**3 + 26740*d**2*j**3
Find the second derivative of 86352*g**3 - 141*g - 48.
518112*g
Find the second derivative of 410236*i*x**2 + 11368*i - 8*x wrt x.
820472*i
Find the second derivative of 3*a**3*g*x**2 + 11746*a**3*g*x - 69397*a*g*x**2 - 20*a*x wrt x.
6*a**3*g - 138794*a*g
What is the first derivative of -55*m**2 - 8927*m + 453444?
-110*m - 8927
Find the first derivative of -39324*x**3 + 11815.
-117972*x**2
Differentiate 48893*o**4 + 52290 with respect to o.
195572*o**3
What is the derivative of 2*a**3*s - 2*a**3 - 46902*a**2*s**2 - 228*a**2 + 34 wrt s?
2*a**3 - 93804*a**2*s
Find the second derivative of -339675*r**4 - 6*r + 2318 wrt r.
-4076100*r**2
Differentiate -4*a*c**3 - 94*a*c + 41*a + 311*c + 4293 wrt c.
-12*a*c**2 - 94*a + 311
What is the first derivative of -7*o**4 - 76*o**2 - 135*o - 2075655 wrt o?
-28*o**3 - 152*o - 135
Differentiate 4*p**3 + p**2 - 2607*p - 57342.
12*p**2 + 2*p - 2607
Differentiate 5399*z - 26862 with respect to z.
5399
Differentiate 2229332*q - 5002367 with respect to q.
2229332
Find the third derivative of -21387*d**3*j**3 - 39*d**3 + d*j**3 + 65*d*j**2 wrt j.
-128322*d**3 + 6*d
Differentiate -121459*a**2 - 98177 with respect to a.
-242918*a
What is the second derivative of 4743236*f**5 + 25393*f + 51 wrt f?
94864720*f**3
Differentiate -249*r**4*s - 83*r**4 - 28060*s with respect to r.
-996*r**3*s - 332*r**3
What is the derivative of b**3 + 41094*b**2*q**2 - 10032*q**2 + 3*q wrt b?
3*b**2 + 82188*b*q**2
Find the second derivative of 16*w**5 - 249*w**4 + 5*w**3 - 60143*w.
320*w**3 - 2988*w**2 + 30*w
Differentiate -549*d**2*j**2 + 160*d**2*j + 164046*d**2 with respect
|
{
"pile_set_name": "DM Mathematics"
}
|
7550 = 0, 3*v = u - 1514. Is u a prime number?
True
Let l be (0 - (-6)/12) + 54575/2. Let r = l + -18427. Is r composite?
False
Let u(o) = 2*o - 23. Let a be u(14). Let c be 5/(a/(-8))*(-6 + 7). Is 4 - 19905/(3 + c) composite?
True
Let q(l) = -20799*l + 18799. Is q(-30) a prime number?
True
Is (-3629181)/(-9) + -18*(-42)/(-567) composite?
False
Suppose 197*j - 2*x - 96341 = 196*j, 0 = -4*x. Is j a prime number?
False
Let x be -11098 + (-4)/2 + -4. Let k be -3 + x/(-2) + -4. Is (k/(-10))/(1/(-2)) a prime number?
True
Let o(r) = 7*r**2 + 83*r - 5. Let k be o(-12). Let m(l) = 117*l**2 - 27*l + 37. Is m(k) prime?
True
Is 211070258/2821 + (-1)/13 a composite number?
False
Let i = -789137 - -1690828. Is i a composite number?
True
Let d = -74 + 288. Suppose 31*t - 32057 = d. Is t a composite number?
True
Suppose -6*t - 30 + 54 = 0. Suppose a - 10670 = -2*b, b = t*a + a + 5313. Is b a prime number?
True
Is (1906967/6 - -3) + -3 + (-130)/156 prime?
True
Let z = -523743 - -882314. Is z a composite number?
False
Let y(z) = 10*z**3 - 27*z**2 - 36*z + 120. Is y(13) prime?
False
Let j(m) be the second derivative of -m**5/20 - 5*m**4/3 - m**3/2 + 21*m**2/2 - 8*m. Let k be j(-17). Let x = 1376 + k. Is x composite?
True
Is (-83491166)/(-370) - 12/15 a composite number?
True
Let n = 1964 + -117. Is n a composite number?
False
Let n be (3 - 2)*(0 + 0). Suppose -12*a + 21*a - 77481 = n. Is a composite?
False
Suppose -4*x = -5 + 5. Suppose x = -34*t + 904688 - 97018. Is t a prime number?
False
Let l be (136/40 - 3) + 32/(-5). Let v(h) = -398*h - 157. Is v(l) composite?
True
Suppose -3*i + 4*q = -6, -2*i = -0*q - 2*q - 4. Let y(u) be the first derivative of 3*u**4/2 + u**3 - u**2/2 - u - 243. Is y(i) a prime number?
False
Suppose 8*p + 641998 = 2920881 + 3409253. Is p prime?
True
Let i(p) = p**2 - 18*p + 39. Let a be i(12). Let w = 37 + a. Suppose -j + 1633 = 2*l, 4*l + w = 2*l. Is j a prime number?
True
Suppose -4797 = -3*s + 3*p + 10635, 0 = 3*s + 5*p - 15456. Is s a prime number?
True
Is (-4)/(-24) + (-8)/12 - (-1398390)/20 a prime number?
False
Let d(o) = -1754*o**2 + 24*o - 25. Let j be d(1). Let a = j - -6082. Is a prime?
True
Let m = 1327 - 705. Suppose 1892 + m = 6*t. Is t a prime number?
True
Let x be 2 - (3 - (-2 + 10)). Suppose -3*y - r = -x*y - 7145, -3*y - 5352 = -3*r. Let d = y + 2740. Is d a prime number?
True
Suppose 2*h - 166 = -0*h + 5*l, h + 2*l - 74 = 0. Suppose 80*v - h*v - 13380 = 0. Suppose v = 10*c - 4*c. Is c prime?
False
Suppose 6*p - 102 = 3*p + 3*i, -4*p + 131 = -5*i. Suppose -87598 = 25*h - p*h. Is h composite?
False
Let s be (-48)/20 + 3 - 26796/35. Let n = 1446 + s. Is n composite?
True
Let d(s) = s**3 + 38*s**2 + 73*s + 39. Let i be d(-36). Is 1/3 - ((-31478)/i - -6) prime?
True
Let i(r) be the third derivative of r**5/15 + 7*r**4/24 - 3*r**3 + 34*r**2 + 2. Is i(-11) a prime number?
True
Is 1 - -259516 - 4/(((-20)/6)/5) a composite number?
True
Let m(l) = l**3 - 7*l**2 - l + 6. Let u be m(7). Is (u/2)/(3/(-43302) - 0) a prime number?
False
Let l = 14 - 10. Suppose -l*n = -12, -3*n + 254 = -4*y + 29. Let b = y + 797. Is b composite?
False
Let p = 64 - 37. Let a(z) = 359*z + 172. Is a(p) a prime number?
False
Let j = 322511 - 193377. Is j composite?
True
Is 8/3 - 2644/(-12) a prime number?
True
Suppose -2*i - 35006 - 37044 = -4*g, g = 2*i + 18011. Is g prime?
True
Let y be (7/2 - 4)*-6. Suppose 5*h = 4*f + 3931, 4*f - 1 = y*f. Is h prime?
True
Is ((2/12)/((-185)/(-222)))/(1/1354295) a prime number?
True
Let q be 12/18 + (-14)/21. Suppose q = 3*x + 3*f - 73158, 0 = -5*x + 4*f + 119231 + 2690. Is x a composite number?
True
Let h be 4 + (-15)/9 + (-6)/(-9). Suppose -129012 = -3*s - h*i, 3*i + 85993 = 2*s - 0*s. Is s composite?
True
Suppose -1 = -0*i - i. Suppose 2*s - 2*l + i = 19, -4*l = -5*s + 40. Suppose 3*p - 1011 = -4*v, -3*p + s*v + 1376 = p. Is p prime?
False
Suppose -2*j + 288 = j. Let p(u) = -41*u - 18*u + 1 + j*u + 91*u. Is p(6) a composite number?
False
Suppose -162*w + 44987411 + 46429473 = 9860090. Is w composite?
True
Suppose -33*l - 3767303 + 7374495 + 9388571 = 0. Is l prime?
False
Let q = 437554 + -255993. Is q composite?
True
Let p be 3 - 10 - (0 + (2 - 5)). Let b be ((-4518)/p)/(9/18). Let u = b + 694. Is u prime?
True
Let y(q) = 3*q - 22*q**2 - 5*q**2 + 8 - 3*q**2 - 2*q. Let f be y(-7). Let u = -990 - f. Is u a composite number?
False
Let l(w) = -11308*w - 17. Is l(-6) a prime number?
False
Suppose 25*h - 6 = 28*h. Let b(y) = -943*y + 2. Let t(o) = -1. Let i(f) = b(f) - 5*t(f). Is i(h) a prime number?
False
Is (422080/10)/4 + -11 composite?
True
Let q = 29785
|
{
"pile_set_name": "DM Mathematics"
}
|
the ninth root of 1453816 to the nearest integer?
5
What is 1236588 to the power of 1/2, to the nearest integer?
1112
What is the square root of 653784 to the nearest integer?
809
What is 9175004 to the power of 1/6, to the nearest integer?
14
What is the ninth root of 24290255 to the nearest integer?
7
What is 212657 to the power of 1/3, to the nearest integer?
60
What is 844130 to the power of 1/2, to the nearest integer?
919
What is the cube root of 4315278 to the nearest integer?
163
What is the cube root of 461150 to the nearest integer?
77
What is 789111 to the power of 1/10, to the nearest integer?
4
What is the seventh root of 11586153 to the nearest integer?
10
What is 3855966 to the power of 1/5, to the nearest integer?
21
What is the square root of 28892269 to the nearest integer?
5375
What is the fourth root of 596618 to the nearest integer?
28
What is 397235 to the power of 1/6, to the nearest integer?
9
What is 1176863 to the power of 1/2, to the nearest integer?
1085
What is the cube root of 790058 to the nearest integer?
92
What is 31119829 to the power of 1/6, to the nearest integer?
18
What is 14707759 to the power of 1/3, to the nearest integer?
245
What is the square root of 235147 to the nearest integer?
485
What is the square root of 13480266 to the nearest integer?
3672
What is the ninth root of 561409 to the nearest integer?
4
What is the square root of 105759 to the nearest integer?
325
What is the fourth root of 25220016 to the nearest integer?
71
What is the square root of 776609 to the nearest integer?
881
What is the cube root of 4598150 to the nearest integer?
166
What is 262722 to the power of 1/2, to the nearest integer?
513
What is 272046 to the power of 1/3, to the nearest integer?
65
What is the square root of 380289 to the nearest integer?
617
What is 1197860 to the power of 1/3, to the nearest integer?
106
What is 3039230 to the power of 1/9, to the nearest integer?
5
What is 923631 to the power of 1/2, to the nearest integer?
961
What is 32610 to the power of 1/2, to the nearest integer?
181
What is the third root of 1711915 to the nearest integer?
120
What is the square root of 1160495 to the nearest integer?
1077
What is 400806 to the power of 1/7, to the nearest integer?
6
What is 32561619 to the power of 1/5, to the nearest integer?
32
What is the fifth root of 3159685 to the nearest integer?
20
What is the fifth root of 1258592 to the nearest integer?
17
What is the third root of 498802 to the nearest integer?
79
What is the seventh root of 60528 to the nearest integer?
5
What is 257068 to the power of 1/3, to the nearest integer?
64
What is the square root of 12513508 to the nearest integer?
3537
What is 15654 to the power of 1/5, to the nearest integer?
7
What is the fourth root of 170311 to the nearest integer?
20
What is 733533 to the power of 1/6, to the nearest integer?
9
What is 266360 to the power of 1/2, to the nearest integer?
516
What is the square root of 494866 to the nearest integer?
703
What is the third root of 148052 to the nearest integer?
53
What is the square root of 108815 to the nearest integer?
330
What is the cube root of 1448985 to the nearest integer?
113
What is the third root of 5682143 to the nearest integer?
178
What is the sixth root of 8220981 to the nearest integer?
14
What is the sixth root of 1580256 to the nearest integer?
11
What is the cube root of 1018133 to the nearest integer?
101
What is 301197 to the power of 1/8, to the nearest integer?
5
What is the square root of 2577915 to the nearest integer?
1606
What is the square root of 6296829 to the nearest integer?
2509
What is 4753930 to the power of 1/2, to the nearest integer?
2180
What is 6381164 to the power of 1/2, to the nearest integer?
2526
What is 488692 to the power of 1/6, to the nearest integer?
9
What is the third root of 5262126 to the nearest integer?
174
What is 5612 to the power of 1/7, to the nearest integer?
3
What is 3297189 to the power of 1/10, to the nearest integer?
4
What is the fourth root of 875402 to the nearest integer?
31
What is the third root of 321240 to the nearest integer?
68
What is the square root of 275625 to the nearest integer?
525
What is the square root of 139676 to the nearest integer?
374
What is 520409 to the power of 1/2, to the nearest integer?
721
What is the square root of 741299 to the nearest integer?
861
What is the third root of 297890 to the nearest integer?
67
What is 89164 to the power of 1/7, to the nearest integer?
5
What is 29229903 to the power of 1/2, to the nearest integer?
5406
What is 23298969 to the power of 1/8, to the nearest integer?
8
What is the square root of 13744791 to the nearest integer?
3707
What is 3545840 to the power of 1/4, to the nearest integer?
43
What is the third root of 26426 to the nearest integer?
30
What is 535885 to the power of 1/3, to the nearest integer?
81
What is the third root of 6746797 to the nearest integer?
189
What is the third root of 8736811 to the nearest integer?
206
What is the sixth root of 2253 to the nearest integer?
4
What is 49001 to the power of 1/2, to the nearest integer?
221
What is the third root of 2234 to the nearest integer?
13
What is the seventh root of 460280 to the nearest integer?
6
What is 124204 to the power of 1/2, to the nearest integer?
352
What is 2482237 to the power of 1/8, to the nearest integer?
6
What is the third root of 832698 to the nearest integer?
94
What is 8773325 to the power of 1/10, to the nearest integer?
5
What is the third root of 183256 to the nearest integer?
57
What is the ninth root of 32042207 to the nearest integer?
7
What is the tenth root of 81542 to the nearest integer?
3
What is 581045 to the power of 1/3, to the nearest integer?
83
What is the seventh root of 1270140 to the nearest integer?
7
What is the third root of 366969 to the nearest integer?
72
What is the square root of 1162540 to the nearest integer?
1078
What is 179664 to the power of 1/2, to the nearest integer?
424
What is the fourth root of 11950314 to the nearest integer?
59
What is 15216 to the power of 1/6, to the nearest integer?
5
What is the third root of 166450 to the nearest integer?
55
What is the seventh root of 3135695 to the nearest integer?
8
What is the square root of 591970 to the nearest integer?
769
What is the eighth root of 4420027 to the nearest integer?
7
What is the eighth root of 275461 to the nearest integer?
5
What is 203398 to the power of 1/3, to the nearest integer?
59
What is the square root of 2859007 to the nearest integer?
1691
What is the square root of 138525 to the nearest integer?
372
What is the ninth root of 2607965 to the nearest integer?
5
What is the third root of 201870 to the nearest integer?
59
What is the ninth root of 11624886 to the nearest integer?
6
What is the third root of 15120913 to the nearest integer?
247
What is the seventh root of 1303964 to the nearest integer?
|
{
"pile_set_name": "DM Mathematics"
}
|
le of 25452 and 3622668?
10868004
Calculate the smallest common multiple of 596 and 10965804.
10965804
Calculate the smallest common multiple of 4251042 and 7557408.
68016672
Calculate the common denominator of 121/7414884 and 55/5767132.
51904188
Find the common denominator of 121/2076 and -73/322401.
223101492
What is the common denominator of -5/23583 and 29/53415495?
53415495
Calculate the smallest common multiple of 121101 and 375304.
41658744
What is the smallest common multiple of 2664 and 16272?
602064
What is the least common multiple of 47557830 and 45?
142673490
What is the least common multiple of 30465 and 44946030?
134838090
Calculate the common denominator of -123/1187144 and -31/7140.
17807160
What is the common denominator of -18/13606489 and -19/7254?
244916802
Calculate the smallest common multiple of 20779 and 198345.
2181795
Find the common denominator of 113/457240 and 101/106471600.
745301200
What is the common denominator of 29/103504415 and -53/2957269?
103504415
What is the common denominator of -35/19 and 39/7546147?
143376793
What is the lowest common multiple of 62329 and 2744046?
1089386262
What is the common denominator of -47/3534544 and -32/559?
151985392
Calculate the smallest common multiple of 114 and 35916.
682404
Calculate the lowest common multiple of 30 and 291722220.
291722220
Find the common denominator of 113/218760 and 77/7853484.
78534840
What is the common denominator of -139/6426 and -121/8543826?
59806782
What is the lowest common multiple of 32889792 and 1212284?
756465216
Find the common denominator of -149/5241060 and -127/30.
5241060
Find the common denominator of -37/22 and 91/26701726.
293718986
What is the lowest common multiple of 912 and 527706?
4221648
Calculate the common denominator of 65/14950664 and 181/16650.
3363899400
Find the common denominator of 111/5350 and -33/8774.
219350
Calculate the lowest common multiple of 2627284 and 33.
7881852
Calculate the lowest common multiple of 4268969 and 185806.
520814218
Calculate the lowest common multiple of 148850 and 6681075.
173707950
Find the common denominator of 46/872067 and -4/13231.
88078767
Calculate the smallest common multiple of 6601752 and 1100292.
6601752
Find the common denominator of 42/5105 and 103/39180.
40002780
Find the common denominator of -107/71874920 and -153/910.
503124440
Find the common denominator of -41/413064 and 29/1404.
16109496
Calculate the least common multiple of 63518 and 422562.
1917163794
Find the common denominator of -29/27919158 and -83/18612772.
55838316
What is the smallest common multiple of 73170027 and 121863?
512190189
Calculate the lowest common multiple of 70417 and 160803.
10773801
Find the common denominator of -133/42329760 and -73/8818700.
211648800
Calculate the smallest common multiple of 31572552 and 484.
347298072
What is the lowest common multiple of 420 and 252572?
26520060
Calculate the common denominator of -76/9 and -97/15334.
138006
Calculate the common denominator of 163/109848288 and -139/1174848.
219696576
What is the lowest common multiple of 490 and 2805250?
2805250
What is the common denominator of -85/2354276 and -25/64?
37668416
Find the common denominator of -27/24802 and 1/2368591.
4737182
Calculate the common denominator of 43/251440 and 113/1738520.
1561190960
Calculate the common denominator of 23/2260544 and 93/3328.
9042176
What is the least common multiple of 3561999 and 6816?
113983968
What is the least common multiple of 920 and 957490?
3829960
Calculate the common denominator of 139/30 and 55/443599896.
2217999480
Calculate the lowest common multiple of 14 and 1418326.
1418326
Calculate the smallest common multiple of 90090 and 385.
90090
Calculate the least common multiple of 259206860 and 47128520.
518413720
Calculate the smallest common multiple of 11587972 and 7374164.
81115804
Find the common denominator of 16/8158305 and -11/6526644.
32633220
Find the common denominator of 23/5462394 and 89/876.
797509524
What is the smallest common multiple of 35004208 and 70573?
35004208
Calculate the common denominator of 80/244107777 and 83/24.
1952862216
What is the smallest common multiple of 3013755 and 2979?
9041265
What is the lowest common multiple of 30293232 and 136319544?
272639088
What is the common denominator of 121/27230 and -131/2493610?
970014290
Calculate the lowest common multiple of 27554232 and 306840.
137771160
Find the common denominator of -23/14375340 and -73/5590410.
100627380
Calculate the common denominator of 43/13160 and -36/6721.
1881880
Calculate the smallest common multiple of 2154 and 25315244.
75945732
Find the common denominator of 43/605790 and 37/54855.
13933170
Calculate the common denominator of 53/2532459 and -74/3.
2532459
What is the least common multiple of 1344 and 12999?
831936
What is the common denominator of -23/345411 and 32/115137?
345411
What is the least common multiple of 216273 and 6055644?
6055644
Find the common denominator of -21/58275608 and -31/203964628.
407929256
What is the least common multiple of 6150 and 60270?
301350
Calculate the lowest common multiple of 2123823 and 217828.
8495292
What is the common denominator of -29/314815 and -18/126240815?
126240815
Calculate the least common multiple of 8070 and 76605.
41213490
What is the least common multiple of 8942151 and 69?
205669473
Calculate the common denominator of -89/288 and 77/2973812.
214114464
Find the common denominator of -95/2039252 and -45/959648.
16314016
What is the lowest common multiple of 29714 and 116708?
9686764
Calculate the least common multiple of 214 and 232781710.
232781710
What is the least common multiple of 1127 and 4037306?
92858038
Calculate the common denominator of -49/1591573 and -24/7543.
1591573
What is the least common multiple of 3827532 and 1932?
616232652
What is the common denominator of -59/6 and 85/9645808?
28937424
Find the common denominator of 80/56860947 and -34/44181.
56860947
Find the common denominator of -173/9870 and -107/33516.
7876260
What is the lowest common multiple of 1136996 and 72?
20465928
What is the lowest common multiple of 697792 and 8?
697792
What is the common denominator of 97/87400 and -121/22776?
248827800
Find the common denominator of -81/1122952 and -31/60.
16844280
What is the common denominator of 53/464000 and -89/12840?
148944000
Find the common denominator of 101/158700 and -67/1322500.
3967500
What is the common denominator of 25/6456122 and 17/68882?
71017342
Find the common denominator of -73/529515 and -53/3690.
1059030
What is the smallest common multiple of 2 and 374549?
749098
Calculate the common denominator of
|
{
"pile_set_name": "DM Mathematics"
}
|
1)*(3 - 21*s - 2*s - 2) + 0*s**2 + 5*s**2 - 3*s**2.
278*s**2 - 12*s
Expand 0*c - c + 2*c + (-2*c + 3*c - 2*c)*(4 + 0 - 2) + 1192 - 1192 - 32*c.
-33*c
Expand (a**2 + 4*a**2 - 4*a**2)*(-1 - 2*a + 1) + (-2*a**2 - 2*a + 2*a)*(-4*a - 3 + 3)*(-11 - 8 + 2).
-138*a**3
Expand (6 + 4 - 15)*(0*p + 5*p + 2*p)*(-3 - 1 + 3).
35*p
Expand -3*g**2 - 3*g**2 + 2*g**2 - 3*g**2 + 7*g**2 - 2*g**2 + (242*g - 316 + 316)*(-5*g + 0*g + 3*g).
-486*g**2
Expand (-4*z**2 + 42*z - 489136 + 489136)*(1 + 3 - 3)*(5 - 2 - 1)*(4 - 2 - 3).
8*z**2 - 84*z
Expand -n + 5*n - 15*n**3 - 2*n + (3 + 1 - 1)*(-3*n**3 + 4*n**3 + 0*n**3).
-12*n**3 + 2*n
Expand (37 - 3 + 7 - 4 + 5 - 3 + (-5 + 3 + 0)*(-2 + 5 - 2) - 2 + 3 - 2)*(5 - 5 + p).
36*p
Expand (-2*v + 0*v + v)*(-321812*v**2 + 321812*v**2 - 107*v**3 + 7).
107*v**4 - 7*v
Expand -v**3 + 1 - 1 - 2*v**3 - 5*v**3 - 2*v**3 + (3*v**2 + 0*v**2 - v**2)*(-v + 5*v - 2*v) - 2*v**3 + 3 - 3 + 2*v**3 + 0*v + 0*v.
-6*v**3
Expand (-206 + 206 + k**2 + 11*k)*(-1 + 0 + 0)*(0*k**2 - k**2 + 0*k**2).
k**4 + 11*k**3
Expand (-s**3 - s**3 - s**3)*(-13 + 18 + 8) + (2*s**3 - s**3 + 0*s**3)*(1 - 1 + 1).
-38*s**3
Expand -3*k + k + k + (1 - 2 + 2)*(-k + 4*k - k) + (-81 + 81 + 3*k)*((-1 + 2 + 1)*(3 + 2 - 4) + 0 + 5 - 3).
13*k
Expand (-3 - 2*f + 3)*(-f + 0*f + 0*f) + f**2 + 2*f**2 - 2*f**2 + (-2*f - 2*f + 3*f)*(5*f - 2*f - 2*f) - 25*f**2 + 1569 - 1569 - 4*f**2 + 0*f**2 + 2*f**2.
-25*f**2
Expand 8*o**5 + 6*o**5 + 2*o**5 + (-o - 2*o**3 + o)*(-3*o**2 + 5*o**2 - 3*o**2) + 0*o**4 + 0*o**4 + 2*o**5 - 7*o**5 - 11*o**5 + 3*o**5.
5*o**5
Expand (-6 + 4 + 3)*(-88*n**4 + 26*n**4 + 28*n**4).
-34*n**4
Expand 0*d + d**2 + 0*d + (-4*d + 4*d + d)*(2*d - 2*d - 2*d) - 23*d**2 - 88*d + 88*d + (-5 + 0 + 3)*(-6*d**2 - 8*d**2 + 8*d**2).
-12*d**2
Expand -61*a**4 + 52*a**4 + 7*a**4 - 545 + (2*a - 3 + 3)*(2*a**3 + 0 + 0).
2*a**4 - 545
Expand (-u + 0*u - 2*u)*(3 + 2 - 2)*(-u**2 - 3*u + 3*u)*(0 - 2*u + 0).
-18*u**4
Expand (-y - 4 + 4)*(4*y - 5*y + 11*y) + (-2 + 2 - 2*y**2)*(3 - 4 - 1).
-6*y**2
Expand (-2*h**2 + h + 2 - 2)*(3 - 3 + h**3 + (h**3 + 0*h + 0*h)*(2 - 1 + 1) - 5*h**3 + 4*h**3 + 2*h**3).
-8*h**5 + 4*h**4
Expand (0 + 5 - 3)*(-361*o + 719*o - 100 - 356*o + (-4 + 6 + 0)*(0*o + 0*o + o)).
8*o - 200
Expand ((-8 - 1 + 21)*(-2*v - v + 2*v) + (-2*v + 0*v + 0*v)*(2 + 3 - 4) - 4*v + 4*v - 2*v + 8 - 2*v - 8)*(-3 + 5 - 1)*(-2*v + 0*v + 0*v).
36*v**2
Expand (-4 + 3 - 1)*(-723 + 335*d**2 + 723).
-670*d**2
Expand (-168*j + 7*j**2 + 168*j)*(-42*j**2 + 25*j**2 + 21*j**2).
28*j**4
Expand (-2 + 3 + 2)*(-3 - 2*p + 3) - 6 + 14*p + 6 + 5 - 5 + 2*p + (1 - 3 + 1)*(-6 + 3 - 3*p + 1).
13*p + 2
Expand (-3*s**2 + 3*s**2 - 3*s**2)*(4*s**2 - 3*s**2 - 3*s**2) - 2*s**4 + 5*s**4 - 5*s**4 + (-s + s - 2*s)*(113*s**2 - 8*s**3 - 113*s**2).
20*s**4
Expand -52 - 22*j + 9*j + 12*j - 15 + 15 + 26*j + j - 2*j + 3*j - 2*j - 4 + 4 - 2*j + j - j + (1 + 2 - 2)*(0 - 2*j + 0).
21*j - 52
Expand ((4 - 4 - 2*z)*(-z - z**4 + z) + 2*z + z**5 - 2*z**5 + 2*z**5)*(3 - 2 + 2)*(0 - 13 + 2).
-99*z**5 - 66*z
Expand (i - 4*i + 8*i)*(2*i - 7*i + i) + (2*i - i - 3*i)*(3*i - 2*i + 3*i).
-28*i**2
Expand (224 + 9*n**2 + 28*n**2 - 223)*(3*n**3 + n**2 - n**2).
111*n**5 + 3*n**3
Expand -2 + n**3 + 0 + 0*n**3 + (-4*n + 0*n + 5*n)*(-3*n**2 + 2*n**2 - n**2) + 2*n**3 + 0*n**3 + n**3.
2*n**3 - 2
Expand (7*d**2 - 7*d**2 + 4*d**3 + (2*d**3 + 3*d**2 - 3*d**2)*(-4 + 2 + 0) - 3*d**3 - 3*d**3 + 5*d**3)*(-3 + 3 + 3*d).
-3*d**4
Expand (-2*z**2 - z**4 + 2*z**2)*(0*z - 3*z + 4*z) - 14*z**4 + 2*z**2 - 2*z**5 + 9*z**5 + 13*z**4.
6*z**5 - z**4 + 2*z**2
Expand (3 + 2*k**2 - 19*k - 16*
|
{
"pile_set_name": "DM Mathematics"
}
|
j(z) wrt z.
-4
Let m = -17 + 11. Let n(v) = 44*v**2 + 15*v. Let l(f) = -15*f**2 - 5*f. Let h(s) = m*n(s) - 17*l(s). What is the second derivative of h(o) wrt o?
-18
Let h(i) = 2*i**3 + i**2 - i. Let b be h(1). Find the second derivative of -124*a**2 + a - 3*a**3 + 124*a**b wrt a.
-18*a
What is the third derivative of -6*v**4 - 3*v**3 + 2*v**2 + 3*v**3 + 6*v**2 wrt v?
-144*v
Let n(s) be the first derivative of 0*s**3 + 0*s**2 - 3 - s + 1/4*s**4. Find the first derivative of n(u) wrt u.
3*u**2
Let q(p) = p**5 - p**4 - p. Let l(m) = -3*m**5 - 6*m**4 - 4*m. Let g(f) = -l(f) + 6*q(f). What is the second derivative of g(z) wrt z?
180*z**3
Let w(m) be the third derivative of -m**9/30240 + m**6/240 + m**5/20 - 2*m**2. Let n(o) be the third derivative of w(o). Differentiate n(a) with respect to a.
-6*a**2
Let d be 66/14 + 4/14. Let v be (-1 - -2)*10/d. What is the third derivative of -2*w**3 + 2*w**2 + 6*w**2 - 5*w**v wrt w?
-12
What is the first derivative of 17*m**3 + 2*m**3 - m + m + 23 wrt m?
57*m**2
Let v(j) = -21*j**4 - 30. Let m(p) = 10*p**4 + 15. Let b(o) = 5*m(o) + 2*v(o). Find the first derivative of b(i) wrt i.
32*i**3
Let o(u) = 3 - 2 + 6*u**4 - 2*u**4. Let p(r) = 6*r**4 + 1. Let b(m) = 8*o(m) - 5*p(m). What is the derivative of b(n) wrt n?
8*n**3
Let f(m) be the third derivative of -m**4/24 - 2*m**3/3 - 2*m**2. Let s be f(-6). Find the third derivative of h**2 + s*h**6 + h - h wrt h.
240*h**3
Suppose -3*d + 3 + 6 = 0. Let j be -1 + 0 + d/1. Find the third derivative of -r**6 + 2*r**6 - 2*r**6 + 0*r**2 - 3*r**j wrt r.
-120*r**3
Let d(c) be the second derivative of -3*c**5/4 - 11*c**2/2 + 22*c. What is the first derivative of d(f) wrt f?
-45*f**2
Let q(o) = 22*o**2 + 10*o - 2. Let a(j) = -66*j**2 - 31*j + 7. Let u(p) = -2*a(p) - 7*q(p). What is the second derivative of u(b) wrt b?
-44
Let i be (0 - -5) + -1 + -1. Suppose i*v = -v + 20. What is the third derivative of v*o**3 - 5*o**3 - o**2 + 2*o**5 wrt o?
120*o**2
Let l(n) = 9*n**5 + 5*n**3 - 10*n + 5. Let v(u) = -4*u**5 - 3*u**3 + 5*u - 3. Let q(m) = 3*l(m) + 5*v(m). What is the second derivative of q(h) wrt h?
140*h**3
Let o(y) be the second derivative of 10*y**3 - 19*y**2/2 + 11*y - 1. Find the first derivative of o(t) wrt t.
60
Let o(c) = 8*c**2 - 4*c + 31. Let f(v) = 8*v**2 - 5*v + 32. Let z(i) = -4*f(i) + 5*o(i). What is the first derivative of z(t) wrt t?
16*t
Let b(z) be the second derivative of -1/2*z**3 + 0*z**2 + 0*z**4 - 1/42*z**7 + 0*z**5 + 0 - 2*z + 0*z**6. Find the second derivative of b(a) wrt a.
-20*a**3
Find the third derivative of 3*j**5 - j**2 - j**5 + 4*j**5 + 4*j**5 wrt j.
600*j**2
Let z(x) = -x. Let c(d) = -1. Let n(j) = -2*c(j) - z(j). Differentiate n(i) wrt i.
1
What is the derivative of 391*r**4 + 14 + 24 - 436*r**4 wrt r?
-180*r**3
Let u be -3 - -3 - 1*-5. What is the third derivative of 10*i**2 - 6*i**5 + 0*i**5 + 3*i**u - 16*i**2 wrt i?
-180*i**2
Let d = 34 - 34. Let r(m) be the second derivative of -2*m + 0 + 1/12*m**4 + d*m**3 + 1/2*m**2. What is the first derivative of r(h) wrt h?
2*h
Let o(s) be the first derivative of -5*s**6/3 + 2*s**3 + 3. What is the third derivative of o(h) wrt h?
-600*h**2
Let t = -3 - -5. Suppose l + 2 = t*l. Find the third derivative of -2*g**2 + 4*g**l - 3*g**4 + 4*g**4 wrt g.
24*g
Let c(h) = -h**2 + 8*h - 6. Let w be c(6). What is the third derivative of 2*s**w + 2*s**6 - 2*s**2 + s**2 + 2*s**2 wrt s?
480*s**3
Let w(p) be the third derivative of -p**6/60 - p**5/40 + 5*p**3/6 - 2*p**2. Let k(j) be the first derivative of w(j). Find the second derivative of k(f) wrt f.
-12
What is the second derivative of -2*a - 17*a**5 + 18*a**5 + 2 + 4*a**5 wrt a?
100*a**3
Let k(v) be the third derivative of -3*v**7/35 + 37*v**3/6 - 12*v**2. What is the first derivative of k(j) wrt j?
-72*j**3
Let y(d) = 10*d**4 - 2*d**3 + 2*d**2 + 7*d. Let k(i) = 11*i**4 - 3*i**3 + 3*i**2 + 6*i. Let l(u) = 2*k(u) - 3*y(u). Find the second derivative of l(s) wrt s.
-96*s**2
Let v(g) = g**2 + g + 1. Let d(r) = 18*r**2 + 16*r + 3. Let b(y) = d(y) - 3*v(y). What is the second derivative of b(z) wrt z?
30
Let z = 8 - 6. Suppose z*t = 1 + 3. Differentiate v**4 + 1 - 3*v**4 + t wrt v.
-8*v**3
Let j(q) = q. Suppose 0 = c - 3*c - 5*x - 11, -3*c - 5*x - 19 = 0. Let r(s) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
(w) = 6*w - 18. Let c be s(6). Calculate the greatest common divisor of c and o.
9
Let j be (4*1)/(6/(-36)). Let m be (-9)/j*-2*-60. Suppose 0 = 4*k - 16, 3*p + k - 9 = 22. Calculate the highest common divisor of p and m.
9
Suppose 2*l = -0*l + 4. Let r be 22/(3*l/33). Calculate the greatest common divisor of 11 and r.
11
Let d be 8 + -8 + 5*2. What is the highest common divisor of 50 and d?
10
Let q = 64 + -61. Calculate the highest common divisor of 39 and q.
3
Suppose -22 = 2*h + 28. Let x = h - -35. What is the greatest common factor of 90 and x?
10
Suppose -v - 2*l = 11, 2*l = 4*v - 5 - 1. Let t be -15*(-2)/(7 + v). Calculate the highest common divisor of t and 15.
5
Let b be (-975)/(-6) + (-6)/4. What is the greatest common divisor of 23 and b?
23
Suppose 63 = 5*r - 457. Let z(m) = 5*m - 9. Let g be z(7). What is the greatest common factor of r and g?
26
Suppose -9*a + 1375 = -4*a. Suppose -4*o = o - a. Calculate the greatest common divisor of o and 5.
5
Let b(w) = w**2 - 7. Let a be b(0). Let c = a + 12. Suppose -u + 4*t = u - 16, -2*u = c*t - 7. What is the greatest common divisor of 54 and u?
6
Let p be 1 + 1 - (-5 - 1). Let y = 28 - p. What is the highest common factor of 80 and y?
20
Let g = 62 - -64. What is the highest common factor of 18 and g?
18
Let a = 948 + -644. What is the highest common divisor of a and 38?
38
Let f be 1 - -8 - (2 - 3). Let q = -1 + f. Let y = 24 - -21. What is the greatest common divisor of q and y?
9
Suppose 0*d = 2*d - 48. What is the highest common factor of d and 8?
8
Let g = 8 - 0. Calculate the greatest common divisor of g and 56.
8
Suppose -2*d = 5*f - 18 - 677, 0 = 2*d - 4*f - 668. Let o = -186 + d. What is the greatest common divisor of o and 14?
14
Let x(y) = -y**3 - 7*y**2 + 9*y + 4. Suppose 9 = 2*a - 3*a. Let p be x(a). What is the highest common divisor of 34 and p?
17
Let f = 46 + -19. Calculate the highest common factor of f and 3.
3
Let u be ((-6)/(-9))/((-2)/(-15)). Suppose -9 = 3*q, u*j - 4*q + 73 = 195. Calculate the highest common divisor of 44 and j.
22
Suppose 16 = i - 3*d, 0*d = i + 2*d - 16. Let w = -8 + i. Calculate the highest common divisor of 24 and w.
8
Let f = 2 - -3. Suppose -f*s = -0 - 10. Suppose -s = -a + 6. What is the greatest common divisor of a and 64?
8
Let p = -31 - -45. Let u(y) = -18*y**2 - 3*y - 1. Let r be u(3). Let c = -74 - r. Calculate the greatest common divisor of p and c.
14
Suppose -4*f + 2*f + 148 = 0. Let c = f + -47. What is the greatest common factor of c and 27?
27
Let o be (80/56)/((-2)/(-42)). Calculate the greatest common divisor of 12 and o.
6
Let y = 5 + 0. Suppose 0 = 2*x + y*m - 40, 2*m + 35 + 7 = 5*x. What is the highest common factor of x and 20?
10
Suppose 8*g - 9*g + 72 = 0. What is the highest common factor of g and 8?
8
Suppose 320 = 7*i + 3*i. Calculate the highest common factor of i and 256.
32
Let j(x) = 44*x**2 + 3*x - 3. Let i be j(1). Calculate the greatest common divisor of i and 11.
11
Suppose j - 2 = -b, b = 2*j - 2*b - 19. Suppose 3*z - j*p - 32 = 61, 0 = -2*z - 4*p + 84. Suppose z = 4*h - 8. Calculate the highest common divisor of 1 and h.
1
Let z be (-1)/((-4)/36*1) + 3. What is the highest common divisor of z and 120?
12
Let g(a) = -a + 11. Let y be g(-10). Calculate the greatest common factor of 7 and y.
7
Suppose -5*v + 66 = 5*l - 104, -5*v - 130 = -5*l. Calculate the highest common divisor of l and 30.
30
Suppose u = 2*u. Suppose -5*p = -4*x - 9, u = 3*p - 0 - 15. Suppose -x*t = 2*z - 10, -3*t + 2*z + 9 = 3*z. Calculate the highest common factor of 6 and t.
2
Let v be 2 + 0 + 2 + -2. Let u be v + -1 + 3 + -1. What is the highest common factor of 3 and u?
3
Let r = -4 - -6. Suppose -2*d + 3 = -p + r*d, 3*d = -3. Let i = 18 + p. What is the highest common divisor of i and 88?
11
Let v = -18 + 20. Suppose -5 = 4*i - 3*r - 19, i = 5*r + 12. Suppose 0*q - 18 = -s - v*q, i = q. What is the greatest common divisor of s and 126?
14
Suppose 4*p - 158 = 290. Let b(w) = 14*w**3 - w**2 + 1. Suppose 3*l + 2*l = 5. Let g be b(l). Calculate the greatest common factor of g and p.
14
Let i be ((-6)/(-8))/((-4)/(-16)). Suppose -2*y - i*y = -300. Suppose 3*z = -h + 24, 0 = h + 5*z - 32 + 2. Calculate the greatest common factor of h and y.
15
Let q = 0 - -5. Let p = -19 - -39. Let k = 35 + p. What is the greatest common divisor of q and k?
5
Let l be 7/(-4)*1*-8. Calculate the highest common divisor of 70 and l.
14
Suppose 16 = p - 4*s, -p + 3*s + 13 = 2*s. Let m be ((-16)/(-4) - 2) + 82. What is the greatest common divisor of p and m?
12
Suppose -6*n + 3*n - 1050 = 0. Let p = -170 - n. Calculate the highest common divisor of 20 and p.
20
Let t be (2/(-3))/(4/(-42)). Calculate the greatest common divisor of t and 14.
7
Let o(p) = -p**3 + 8*p**2 - 7*p + 2. Let x = -9 - -16. Let n be o(x). Suppose 12 = -2*b - n*b, 4*f - 55 = b. Calculate the highest common divisor of f and 104.
13
Suppose -5*k - 30 = -5*z, -k + 3*k = -5*z + 58. Calculate the greatest common factor of 80 and z.
10
Let k be ((-21)/6 - -2)*-12. Let h be (-16)/2*4/(-8). Suppose 21 = 2*i - 3*t, h*i = i - 5*t + 22. What is the greatest common factor of k and i?
9
Suppose 3*c = f + 3 - 23, -30 = 5*c - f. Let o = c + 17. What is the highest common divisor of 36 and o?
12
Suppose 2*p = -0*p + 6. Let m(s) = -s + 1. Let x be m(-8). What is the greatest common divisor of x and p?
3
Let y(t) = 6*t**2 + 7*t - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
positive.
y**(8/5)
Simplify (n*n/(n**(-2)/n))/n**(-1/7)*(n/(n*n/((n**(2/5)*n)/n*n)*n))**(-1) assuming n is positive.
n**(201/35)
Simplify ((y**0/y)/y*y)/y**(1/6)*(y**0*y)**(-30) assuming y is positive.
y**(-187/6)
Simplify s*s/((s/s**(1/4)*s)/s*s*s)*s**12 assuming s is positive.
s**(45/4)
Simplify ((m*m**(2/15))/(m/(m/m**2)))/((m**(-1/6)*m)/m*m/(m**(-2)/m*m)) assuming m is positive.
m**(-37/10)
Simplify m/m**(-14)*m*m**(1/10) assuming m is positive.
m**(161/10)
Simplify a**(-4)/(a*a**(-3/10))*(a**(-2/7)*a)/(a*a**(-1)) assuming a is positive.
a**(-279/70)
Simplify (((w/w**0)/w)**(-22))**0 assuming w is positive.
1
Simplify ((((l/l**(2/3))/l*l)/l)/(l**0*l))/((((l**(1/13)*l)/l)/l*l)/((((l/l**(-1))/l)/l)/l)) assuming l is positive.
l**(-107/39)
Simplify (w*w/w**(-1))/(w/w**(-2/15))*(w*w*w/(w/(w**(-1/4)*w))*w*w*w)/(w**5*w) assuming w is positive.
w**(97/60)
Simplify ((w*w*w**16*w*w*w)/((w*w/(w/((w*w*w**(1/5))/w)))/w))**(-9/5) assuming w is positive.
w**(-891/25)
Simplify ((o/(o*o*o**(2/3)))/o)/(o*(o*o*(o/o**(-1/26))/o)/o) assuming o is positive.
o**(-367/78)
Simplify ((g*g/g**(-3))/g**(1/3))**10 assuming g is positive.
g**(140/3)
Simplify (m**(-2/7)*m*m)/((m**0*m)/m*m)*(m/(m*m**2/m))**(-11) assuming m is positive.
m**(82/7)
Simplify (f/(f/(f/(f*f*(f*f**(-11))/f))))/(f/(f**(-5/4)/f)*f) assuming f is positive.
f**(23/4)
Simplify (b**2/(b*b**(-1/4)))/(b**5*b*b*b/b**0) assuming b is positive.
b**(-27/4)
Simplify (v/((v**0/v)/v*v)*v)**(-1/15)*((v/v**(-1))/v)**22 assuming v is positive.
v**(109/5)
Simplify ((k**(-1))**(25/6))**13 assuming k is positive.
k**(-325/6)
Simplify s/s**30*s**(-25/2)*s assuming s is positive.
s**(-81/2)
Simplify (b/(b*(b**(-3/2)*b)/b)*b*b*b)**(-34) assuming b is positive.
b**(-153)
Simplify (u*u*u*u/(u/u**(-1/4))*u)/u**(-8) assuming u is positive.
u**(47/4)
Simplify (h*h**(-2/27))/(((h*h*h**(8/3))/h)/h) assuming h is positive.
h**(-47/27)
Simplify ((o*o*(((o*o**(-12))/o*o*o)/o*o)/o*o)/(o/(o/(o**(-8)*o))*o))**(-2/55) assuming o is positive.
o**(4/55)
Simplify ((g**0/g*g)/g)**(3/13)*(g/(g/((g*g*g**(-5/4)*g*g)/g)*g))/g*g*g**(1/3) assuming g is positive.
g**(133/156)
Simplify ((u**(2/17))**(-41))**1 assuming u is positive.
u**(-82/17)
Simplify d*d**(-2/7)*d**2/d assuming d is positive.
d**(12/7)
Simplify (a**0)**(-9/5)*(((a/(a*a**(-2/7)*a*a))/a)/a)**(4/11) assuming a is positive.
a**(-104/77)
Simplify (c/c**16*c)**10 assuming c is positive.
c**(-140)
Simplify q*q*q*q/q**2*q**(-17) assuming q is positive.
q**(-15)
Simplify (x/x**3*x*x*x*x**(1/3)*x*x*x*x)/((x/(x**7/x)*x)/(x**(-6)*x)) assuming x is positive.
x**(13/3)
Simplify (z/(z/(z*z*z**6*z)*z))**(36/7) assuming z is positive.
z**(288/7)
Simplify (w*w**17)**(-32) assuming w is positive.
w**(-576)
Simplify (q*q*(q*q**(-4/21))/q*q*q)**27 assuming q is positive.
q**(720/7)
Simplify f**(-2/17)*f*(f/(f/(f*f**(-1/21)/f)))/f assuming f is positive.
f**(-59/357)
Simplify (v**(3/5)/v*v*v)**(-4/5) assuming v is positive.
v**(-32/25)
Simplify ((g/(g**(-26)/g))/g)/(g**(-7)/g) assuming g is positive.
g**35
Simplify (y**(-2/19))**(3/5) assuming y is positive.
y**(-6/95)
Simplify (((p/(p/(p*p**6)*p))/p)/p)/(p*p**(1/17)) assuming p is positive.
p**(50/17)
Simplify (f**(-2/17)*((f/(f*f**2)*f)/f)/f)**(-5) assuming f is positive.
f**(265/17)
Simplify (v*v*v/v**(-2/15)*v**(-2/11))/(v**(-5)*v**(-3/7)) assuming v is positive.
v**(9679/1155)
Simplify ((o**(-1/3))**48)**49 assuming o is positive.
o**(-784)
Simplify ((f**(-2/33)/f)**(-1/14))**33 assuming f is positive.
f**(5/2)
Simplify n*n**2*n**(-2/33) assuming n is positive.
n**(97/33)
Simplify z/(z/(((z**(-13/5)*z)/z)/z))*z*z*z**(2/95)/z assuming z is positive.
z**(-49/19)
Simplify q**(-1/3)*q*q**(13/3) assuming q is positive.
q**5
Simplify m*m*m**(-2/3)*m*m**(-5/2)*m**1*m**(-2/23) assuming m is positive.
m**(103/138)
Simplify t/t**(-8)*t*t*t**(3/10)*t assuming t is positive.
t**(123/10)
Simplify ((n**(1/16)/n)/n)/n**(-2/3) assuming n is positive.
n**(-61/48)
Simplify ((d*d**(4/3)/d*d)/d**(1/10))/(d*d*d/(d*d/(d/d**(2/3))))**33 assuming d is positive.
d**(-1253/30)
Simplify f*(f*f**(-4/15))/f*f*f**(-35)*f assuming f is positive.
f**(-484/15)
Simplify (m**(-3/5)/m)**(-20/3) assuming m is positive.
m**(32/3)
Simplify ((k/(k/(k/(k*k*k*k**14))*k))/k*k)**(-13) assuming k is positive.
k**221
Simplify (((i/(i/(i/(i/i**(-1/3)))))/i*i)/i**(-3/2))**(2/7) assuming i is positive.
i**(1/3)
Simplify ((u**(-4/3)*u)/u*u)/(u*u/(u*u*(u*u**(-2/7))/u))*(u*u/u**(-3))/(((u/(u*u**(4/9)))/u)/u) assuming u is positive.
u**(430/63)
Simplify (o/o
|
{
"pile_set_name": "DM Mathematics"
}
|
for i.
-86
Solve 2771 + 552 = 202*d - 470*d - 697 for d.
-15
Solve -197*u - 119*u - 119 = -347*u + 150*u for u.
-1
Solve -1591 - 265 = -193*w - 203 + 1049 for w.
14
Solve 305*x + 1344*x = 54417 for x.
33
Solve -70*k + 204 = -56*k - 224 + 36 for k.
28
Solve -37454 = 2165*g + 48684 - 1703 for g.
-39
Solve 0 = -2467*f - 52278 - 125346 for f.
-72
Solve -v - 137065 + 137200 = 14*v for v.
9
Solve 4723 = -61*g - 34*g - 3257 for g.
-84
Solve -363400*z + 363328*z + 5925 = 885 for z.
70
Solve 0 = 104*n + 14426370 - 14423666 for n.
-26
Solve 394*m - 286 = -8560 for m.
-21
Solve 0 = -610*o + 2187*o - 3076 + 42501 for o.
-25
Solve -3511*c + 4196*c - 97910 - 142066 = -9314*c for c.
24
Solve 24367*v - 422280 = 30577*v for v.
-68
Solve 61993 + 3747 = -3952*h - 2622*h for h.
-10
Solve 0 = -31*p - 216*p + 12844 for p.
52
Solve 0 = 115*d + 706732 - 710412 for d.
32
Solve -630*g = -495*g + 9855 for g.
-73
Solve -1002*z + 5979*z + 545491 = -343281 + 281578 for z.
-122
Solve -19*u + 260*u + 60*u + 17759 = 0 for u.
-59
Solve -5279*b + 20434 = 67945 for b.
-9
Solve -219*h + 532*h = -148*h - 15674 for h.
-34
Solve 7950 = -943*a + 30582 for a.
24
Solve -2384*y = -2171*y + 5751 for y.
-27
Solve 3316 - 2512 - 3248 = 94*g for g.
-26
Solve -253*z - 75*z - 7476 = 56*z - 7092 for z.
-1
Solve -141147 = 38*c - 401*c - 122271 for c.
52
Solve -4996*y = -4943*y - 1431 for y.
27
Solve 1156*h + 66442 = 19046 for h.
-41
Solve -17*q + 90*q + 191*q + 12312 = -60*q for q.
-38
Solve -360402*z + 360295*z = 1177 for z.
-11
Solve -83*x - 4874 = -618*x + 4772 + 21384 for x.
58
Solve 89*y + 171*y + 309*y = -105*y + 70096 for y.
104
Solve -147*f - 823 + 3947 = -1556 + 417 for f.
29
Solve -768*k + 462*k - 3094 = 4250 for k.
-24
Solve 293*d = -405*d + 417*d - 28943 for d.
-103
Solve -985*u + 1388 = -291*u for u.
2
Solve 2849*w = -1968*w - 12682*w - 2187375 for w.
-125
Solve -780*r + 18048 = 250*r - 400*r + 498*r for r.
16
Solve -1060*o - 55890 = -2923*o for o.
30
Solve -10799 = 516*t + 287*t + 1246 for t.
-15
Solve -2*j - 3840 - 3494 = -152*j + 166 for j.
50
Solve -943*l + 53640 = 334*l + 511*l for l.
30
Solve 102244 = 21*j + 103693 for j.
-69
Solve -471*t + 11744 = -9966 - 5137 for t.
57
Solve 8550 = 3114*q - 3304*q for q.
-45
Solve -16240 = -229*j - 17385 for j.
-5
Solve 182*y - 2650 + 421 - 2139 = 0 for y.
24
Solve 2635*u - 57408 = 550*u - 411*u for u.
23
Solve -429*b + 373*b - 6216 = 0 for b.
-111
Solve 28*j + 714*j - 65*j - 21641 + 2685 = 0 for j.
28
Solve -1047*f - 355*f = 87*f - 282*f - 107423 for f.
89
Solve -44*z + 119415 = 116423 for z.
68
Solve 24847 = 1660*v - 19973 for v.
27
Solve 226*f + 3981 + 1526 = -74*f - 3193 for f.
-29
Solve 12884 - 3384 = -475*s for s.
-20
Solve -1195*z + 16571 = 439*z + 3499 for z.
8
Solve -432*t - 10024 + 2248 = 0 for t.
-18
Solve 0 = 59935*a - 59552*a + 15703 for a.
-41
Solve 1942 - 376 = 13*w + 248*w for w.
6
Solve 1068*m - 10239 = -7774 + 6815 + 11012 for m.
19
Solve -1341*x - 2366 = -6141 - 4271 for x.
6
Solve 27986*s + 714336 = -1778*s for s.
-24
Solve -387*u = 4492 - 14554 for u.
26
Solve -1670*q = -38198 - 22963 - 8979 for q.
42
Solve 2102*a + 41759 = 205715 for a.
78
Solve -583*w + 5039 = 958 for w.
7
Solve 8*g - 72676 = 63*g - 70201 for g.
-45
Solve 105*v - 134484 = 6483*v + 4829*v for v.
-12
Solve 442*n - 1449*n - 1286*n - 89427 = 0 for n.
-39
Solve 0 = 980*a + 62*a + 762*a - 5412 for a.
3
Solve -910*k - 30758 = 254*k - 17265 + 35395 for k.
-42
Solve -301*v + 770*v = -302*v - 11247 + 453 for v.
-14
Solve 0 = -3834*c + 124473 + 17385 for c.
37
Solve -33*z - 1120 = 35*z + 50*z + 3246 for z.
-37
Solve -4*i + 3900 = 26*i - 52*i - 56*i for i.
-50
Solve 5270*c + 697 + 551 = 5238*c for c.
-39
Solve 1790*z - 71644 - 12486 = 0 for z.
47
Solve 7641*t + 9163 = 6808*t for t.
-11
Solve -552*g + 523*g - 36994 = 320*g for g.
-106
Solve 3528029*y - 1271 = 3527988*y for y.
31
Solve 3500 = -493442*g + 493192*g for g.
-14
Solve -887*x - 8023 = 56728 for x.
-73
Solve 436*f - 9043 - 18425 = 0 for f.
63
Solve 169*r - 1211 + 615 + 4057 = -3637 for r.
-42
Solve -20623 = -745*m + 525*m + 424*m - 631 for m.
-98
Solve 1577*z + 20621 = -69268 for z.
-57
Solve 79314 - 21804 = 1278*q for q.
45
Solve -4555*g + 217430 = 4311*g - 234736 for g.
51
Solve 2491*n + 176 = 2473*n - 850 for n.
-57
Solve 48*q - 4941 + 9772 - 4351 = 0 for q.
-10
Solve -25
|
{
"pile_set_name": "DM Mathematics"
}
|
(i) + 11*w(i). What is the derivative of y(m) wrt m?
60*m**2
Let b(a) = -a - 3. Let h be b(-5). Let l be 12/2 + (-15)/5. What is the second derivative of l*w + w**2 - 6*w + w**h wrt w?
4
What is the third derivative of 10*z**2 - 28*z**5 - 19*z**5 + 25*z**5 wrt z?
-1320*z**2
Let c = -17 + 30. Suppose 5*f = -2 - c, -3*x - f = -6. What is the third derivative of -2*w**5 - x*w**5 + 2*w**2 + 3*w**5 wrt w?
-120*w**2
Suppose -2*p + 5*x = 2*p + 7, 3 = -2*p + 3*x. Let a be ((-1 - p) + -3)/(-1). Find the second derivative of -b - 2*b**5 - 1 + a wrt b.
-40*b**3
Let q = -12 - -14. Find the third derivative of 5*s**2 - s**5 + 6*s**5 + 2*s**2 - 2*s**q wrt s.
300*s**2
Let c(a) be the first derivative of -10*a**7/7 + a**3/3 - 7. Find the third derivative of c(z) wrt z.
-1200*z**3
Let n(r) be the second derivative of -1/4*r**4 + 0 + 0*r**2 - 1/20*r**5 + 5*r + 0*r**3. What is the third derivative of n(z) wrt z?
-6
Let a(i) = -5*i + 15. Let g(t) = -3*t + 8. Let z be (-1 - -2)*-2 + 8. Let u(q) = z*a(q) - 11*g(q). Find the first derivative of u(c) wrt c.
3
Suppose -2*a + 8 = -2. Find the third derivative of -6*d**2 - d**a - d**5 + 3*d**2 wrt d.
-120*d**2
Let n(p) be the third derivative of p**5/20 + 3*p**4/8 - 2*p**2. Find the second derivative of n(c) wrt c.
6
Let a(l) = l + 2*l + 6 - 5. Let h(o) be the first derivative of o**2/2 - 1. Let p(z) = 2*a(z) - 4*h(z). Differentiate p(g) wrt g.
2
Let b = -4 + 7. Let v = b + 1. Find the first derivative of -6*s**v + 0 + 4*s**4 - 2 wrt s.
-8*s**3
Let p(f) be the third derivative of f**7/840 + f**6/90 + 2*f**3/3 + 4*f**2. Let h(j) be the first derivative of p(j). Find the third derivative of h(a) wrt a.
6
Let y(i) be the third derivative of 0 + 0*i**5 + 1/60*i**6 + 0*i + 1/2*i**3 + 0*i**4 + 2*i**2. What is the first derivative of y(r) wrt r?
6*r**2
Let f = 20 - 18. Find the second derivative of 3*b + f*b + 2*b + 5*b**2 - b wrt b.
10
What is the derivative of 0 - 4*h - 11 - 5 wrt h?
-4
Let s(x) = 38*x**4 - 26*x**2 - 17*x + 17. Let v(o) = -13*o**4 + 9*o**2 + 6*o - 6. Let r(k) = -6*s(k) - 17*v(k). What is the third derivative of r(c) wrt c?
-168*c
Suppose 0 = 2*j + 4*p - 14, 0*p = 2*p - 4. Let w be (-1 - -2)/((-1)/(-2)). What is the third derivative of -2*l**w - 4*l**3 + j*l**3 - 2*l**3 wrt l?
-18
Let y(f) = -50*f**2 - 27*f + 3. Let x(q) = 50*q**2 + 29*q - 2. Let b(s) = 5*x(s) + 4*y(s). What is the second derivative of b(v) wrt v?
100
Let g(c) be the second derivative of 2*c**7/21 + c**4/4 + 2*c. Find the third derivative of g(d) wrt d.
240*d**2
Let g(x) = -x + 4. Let y be g(2). Find the third derivative of 0*d**2 + 6*d**2 - 4*d**5 + 3*d**5 - 3*d**y wrt d.
-60*d**2
Suppose 0*q = q. What is the first derivative of 2*z + 2*z + q*z + 2 wrt z?
4
Let i = 1 - -3. What is the second derivative of 0*g - 2 - g**5 + i*g + 2 wrt g?
-20*g**3
Let w(p) = -48*p**2 - 13*p. Let v(b) = b**2. Let y(f) = -6*v(f) - w(f). What is the second derivative of y(s) wrt s?
84
Let x(g) be the first derivative of 0*g**2 + 0*g + 1/3*g**3 + 5/6*g**6 + 1 + 0*g**5 + 0*g**4. Find the third derivative of x(r) wrt r.
300*r**2
Let p(c) be the third derivative of 13*c**8/168 + 23*c**4/24 - 22*c**2. Find the second derivative of p(q) wrt q.
520*q**3
Suppose -5*h + 24 = -h. What is the second derivative of b**4 + b**4 + h*b**4 + b wrt b?
96*b**2
Suppose -1 = -5*o + 14. Let v(l) = 2*l - 7. Let w be v(7). What is the first derivative of 5*n**3 - w*n**3 + 5*n**o - 2 + 0*n**3 wrt n?
9*n**2
Let b(f) = 2*f**2 - 7*f - 3. Let n(h) = 4*h**2 - 14*h - 7. Let m(v) = -7*b(v) + 3*n(v). What is the second derivative of m(t) wrt t?
-4
Let z(b) be the second derivative of b**8/6720 - b**5/30 + b**4/3 + 3*b. Let n(q) be the third derivative of z(q). What is the first derivative of n(d) wrt d?
3*d**2
Let t(y) be the first derivative of 71*y**2/2 - 16*y - 2. Differentiate t(l) wrt l.
71
Suppose -9 = -2*d + 3. What is the third derivative of -17*k**2 - 4*k**6 + 2*k**6 + 4*k**d + 14*k**2 wrt k?
240*k**3
Let i(a) = 3*a**2 - 1. Suppose -3*j - 2*j + 4*u = 13, 0 = -2*j + 3*u - 8. Let o be i(j). What is the third derivative of o - 2*s**5 - 2 + s**2 wrt s?
-120*s**2
Let r(h) = 174*h**3 + 85*h**2 + 11*h + 11. Let s(p) = 35*p**3 + 17*p**2 + 2*p + 2. Let x(a) = 2*r(a) - 11*s(a). What is the third derivative of x(y) wrt y?
-222
What is the second derivative of 5*m - 9*m - 5*m**5 + 0*m**5 wrt m?
-100*m**3
Let o be 0 - (-2 - -1)*4.
|
{
"pile_set_name": "DM Mathematics"
}
|
value of (-5 + 2 - 1) + -1 + 1?
-4
Calculate 7 + (-3 - (0 - -5)).
-1
Evaluate 4 - (3 - 5) - (3 + -2).
5
Evaluate (-6 + 15 - 7) + 3.
5
Evaluate 7 + (3 - -4 - 15).
-1
4 + 3 + -15 - -5
-3
What is -5 + (6 - 4) - 1?
-4
Calculate -10 + (20 - -4 - 8).
6
Evaluate 3 + 2 + -1 + -2.
2
What is the value of -14 + (-1 - (3 - 11))?
-7
Calculate -3 + -5 + 9 - -5.
6
Calculate 9 + -3 + (0 - 3).
3
(-2 - (-6 + -7)) + -6 - 8
-3
Calculate 7 - 1 - (-9 - -13 - -9).
-7
What is (6 - 2 - 1) + 0?
3
0 - 6 - (-6 + -2 - -11)
-9
What is -5 + 18 + -3 - (14 + -10)?
6
What is the value of -1 - (-3 + 2 - -4)?
-4
What is the value of -4 + -5 + 9 + -3 + 2?
-1
-6 - ((-2 - -5) + -1 - 8)
0
Evaluate 0 + -1 - (1 + -4 - 1).
3
Evaluate 4 - (-5 - (-3 - 2)) - 4.
0
What is 2 + (1 - 4) - -2?
1
Evaluate 0 - 2 - -5 - (9 + -7).
1
What is the value of 2 - 0 - -2 - (-6 + 9)?
1
Calculate 2 + -8 - (8 - 2 - 8).
-4
What is (1 - 2) + (-11 - (6 - 14))?
-4
(-1 - 0) + 0 + 0 - -1
0
What is the value of -2 + (3 - (5 - 3))?
-1
(2 - (-1 + 0) - 5) + -3
-5
What is the value of -6 + (4 - (0 - -4))?
-6
What is the value of -1 - 0 - (-6 - (-1 - 8))?
-4
Calculate -4 + (-5 - (-6 + -7)).
4
What is 11 - (14 + (9 - 13))?
1
Calculate 0 - (14 + -5 - 7).
-2
3 - 1 - (9 + 0 - 11)
4
Calculate (-2 + 1 - -1) + 8.
8
What is (14 - (6 + 6)) + 5?
7
Calculate 0 - -1 - (-7 - -10).
-2
6 + 2 + -7 + (1 - -2)
4
What is 10 + -18 - -13 - (15 - 2)?
-8
What is -5 - ((6 - 2) + 0)?
-9
What is the value of 2 - 2 - (2 - -3 - 4)?
-1
Evaluate (-13 - 0) + 10 - (-1 + 2).
-4
Calculate 7 + -12 - ((1 - -1) + -6).
-1
3 + 2 + 1 + (4 - 9)
1
Calculate (56 - 47) + -10 + -1.
-2
What is the value of (0 + 2 - 0) + 1 - 3?
0
Calculate 0 + (-1 + 5 - 2).
2
What is 7 + (3 + -9 - -3) + 0?
4
What is -4 - (-11 + 4 + 4) - 5?
-6
(3 - (13 + -26)) + 2 + -10
8
What is the value of -11 + 1 - -3 - -6?
-1
What is -9 - ((2 - -8) + -16)?
-3
13 + (-11 - -1) + -4
-1
What is -30 - (-12 - 1) - -11?
-6
Calculate 3 - (-5 + -5 + (-3 - -14)).
2
Calculate -1 + 0 + -2 + -5 + 4.
-4
Calculate 2 + 0 - (1 + 2 - 3).
2
1 + 0 - 3 - (-17 + 13)
2
Evaluate (3 - (5 + 0)) + 3 - 7.
-6
Evaluate 4 + (-11 - (-7 + 3)).
-3
What is 8 - (-7 + 12) - (6 - 8)?
5
What is the value of -1 + (6 - (-11 + 16))?
0
(0 + -9 - -4) + (1 - 1)
-5
-11 + 17 + -2 + -1
3
What is the value of 2 - (4 + -2 - 0)?
0
Evaluate 2 + (2 + -4 + -2 - -2).
0
Evaluate -2 + (4 + -6 - 0 - 1).
-5
What is 5 - ((6 - 3) + -2) - -2?
6
What is 13 + -5 + -10 + 6 + 1?
5
What is the value of -7 - (-14 + 1 - (60 + -57))?
9
Evaluate -1 + 3 + -4 + 2.
0
What is -6 - (5 + 6 - 14)?
-3
Evaluate 5 - (8 - -4) - -5.
-2
What is (-4 + 5 - 5) + 5 + -7?
-6
(-5 - -10) + -6 - -3
2
-4 - ((-7 - -3 - -6) + -6)
0
23 + -31 - (-2 - 2)
-4
What is the value of (1 + -5 - 0) + 0 + 5?
1
What is 1 + 3 - (-1 + 3) - 2?
0
What is (2 - (-2 + (3 - 1))) + 3?
5
Evaluate -21 - (-12 - -4) - (0 - 5).
-8
Calculate 0 + (1 - 2 - 3 - -1).
-3
Evaluate 4 - (5 + 5 + -6).
0
What is -2 + (0 - 5) + 5?
-2
Calculate 1 - ((-4 + 3 - 0) + 5).
-3
1 + 1 + 3 - (-3 - -3)
5
What is the value of 2 + (-8 - (0 + -4)) + 4?
2
Calculate -4 - (2 - (16 + -3)).
7
Calculate (3 - 3 - (6 + -4)) + -1.
-3
What is the value of 4 - 6 - (-9 + 2)?
5
Evaluate (-1 - 0) + -2 - (8 - 6).
-5
-3 + (15 - 6) - 5
1
What is (-4 - -4 - -2) + 1?
3
-2 + -10 + 10 + 0 + 1
-1
What is the value of (-4 - (-7 + 3)) + 4?
4
Calculate -7 + (5 - (-4 + 1 + 4)).
-3
Calculate 0 + 8 - (-120 - -132).
-4
Calculate 1 - ((-2 - 2) + 7).
-2
What is the value of -4 - 1 - (3 - 0) - -4?
-4
(2 - 0 - 3) + (-1 - -1)
-1
Calculate -3 - (4 + (3 - 6)).
-4
What is 0 - 2 - ((7 - 1) + -3)?
-5
What is 6 - (1 + 0) - (25 - 22)?
2
(-3 - 0) + 7 + -4
0
Evaluate 1 - (-5 - -5) - (-1 + 7).
-5
Calculate 1 + (-3 - -1) + 34 + -37.
-4
What is 2 + -6 - (0 - 9 - -5)?
0
What is 1 - (0 + 5 + -9)?
5
Calculate 6 - (0 - -5) - -3.
4
What is 0 - (2 + 1 + 10 + -12)?
-1
184 + -185 - (1 + 0)
-2
What is the value of 9 - (-3 + 2 + (-3 - -5))?
8
8 + -10 + (0 - -2)
0
What is the value of 9 + -1 - (-59 + 66)?
1
Evaluate -12 + (-14 - -27 - 3).
-2
(17 - 13) + 0 + -4
0
What is 5 - 3 - 6 - -2?
-2
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2*k) - 2*k - 3*k + 6*k + 2*k + 3 - 3 + (2*k - 1 + 1)*(4 + 1 - 4).
6*k
Expand (3*d**5 - 6*d**5 + 2*d**5)*(0 + 0 + 2) + (-3*d + 3*d - d)*(1538 - 59*d - 1538)*(5*d - 4*d**3 - 5*d).
-238*d**5
Expand 18*k**2 - 67*k**2 + 32*k**2 + (-k**2 - 1 + 1)*(-2 - 1 + 4) + 0*k + 0*k - k**2 - k**2 - 2*k**2 + k**2 - 4*k**2 + 4*k**2 + k**2.
-20*k**2
Expand (g + 7*g + 0*g)*((-9 + 0 - 1)*(7 - 19 - 4) + (4 + 1 - 6)*(-3 + 1 + 3)).
1272*g
Expand (0*w**2 - 3*w**2 + 4*w**2)*(-w + 0 + 0) + 3*w**2 - 3*w**2 + 2*w**3 - 12443 - w**3 + 3*w**3 + 11764.
3*w**3 - 679
Expand (2*r - 4 + 4)*(-4 + 4 + 2*r) + 20148*r - 20148*r - 725*r**2.
-721*r**2
Expand -5*i**3 + 4*i**3 - i**3 + (-8*i**2 - 3*i**2 + 4*i**2)*(-2*i - 3 + 3 + (3 - i - 3)*(1 + 0 - 2)).
5*i**3
Expand -4*c**2 + 3*c**2 - 2*c**2 + (-2 + c + 2)*(-6 + 6 - 8*c) + (1 - 5 + 1)*(-4*c**2 - 2*c**2 + 4*c**2) - 2*c**2 + 4*c**2 + 0*c**2 - c**2 + c - c.
-4*c**2
Expand (0*o + 2*o - 3*o)*(-6 + 4 + 0)*(19 + 67 + 63).
298*o
Expand (-2 + 1 - 5)*(7 + 2 - 4)*(2 - 4 + 0)*(-5 + 1 + 3)*(-8*m**4 + 11 - 11).
480*m**4
Expand 0*b**3 - 4*b**3 + 0*b**3 + (4*b - 3*b - 2*b)*(-b**2 + b**2 + 2*b**2) + 44*b + 22*b**3 - 44*b.
16*b**3
Expand (-3*g**2 + 6*g**2 - g**2)*(4 - 1 - 4 + (1 - 11 + 3)*(-3 - 1 + 6) + 2 + 7 - 5 - 1 + 1 + 2)*(2*g**2 + g**2 - g**2).
-36*g**4
Expand (-h**2 + 1 - h**2 + 0 - h**3)*(-65 + 65 - 3*h).
3*h**4 + 6*h**3 - 3*h
Expand (1 - 1 - 2*l**2)*(-2*l**2 + l - l) + (-4*l + 4*l + l)*(2 - 5 + 5)*(-16 + 16 + 7*l**3).
18*l**4
Expand (-2 + 4 + 5)*(0*c - 4*c + 5*c + (43*c + 41*c - 93*c)*(-1 - 1 + 1)).
70*c
Expand (v - 4*v + 5*v)*(v - 2*v + 4*v) + 2*v**2 + v - v + (4*v + 3*v - 4*v)*(4*v - 5*v + 0*v) - 6 + 2*v**2 + 6.
7*v**2
Expand -3*c**4 + 4*c**4 + c**4 + (6*c - 23*c + 7*c)*(-3*c**3 + 2*c**3 + 2*c**3).
-8*c**4
Expand (-189 + 189 + 28*o)*(2*o**4 - 3*o**4 + 3*o**4) - 1 - 1 - o**5 + 4.
55*o**5 + 2
Expand -3*k**2 + 7*k**2 - k**2 + (-k - 1 + 1)*(2 - 2 - 2*k) + (0*k**2 - k**2 + 0*k**2)*(-1 - 2 - 1) - 5 - 3*k**2 + 5.
6*k**2
Expand (6*r**2 - 4*r**2 + 5*r**2)*(-7*r - 14*r - 3*r).
-168*r**3
Expand (-n + 3*n + 0*n)*(-25 + 2 - 6).
-58*n
Expand ((0*a + 2*a - a)*(-6 + 0 + 4) + a - 4*a + 2*a - 2*a + 0*a + 4*a + (3 + 0 - 1)*(4*a - 3*a - 2*a) + 3*a - 2*a - 4*a)*(-2 + 5 - 2).
-6*a
Expand -v**3 + 5*v**3 + 0*v**3 + (-2 + 2 - 2)*(2*v**3 - v**3 + 0*v**3) - 119*v**2 + 69*v**3 + 119*v**2.
71*v**3
Expand -50*t - 59*t + 50*t + t - 2*t - t - t + 2*t - 3*t + 0 - 2*t + 0 - 4*t + 0*t + 6*t + (-6 + 2 + 2)*(2*t + 1 - 1) - 2*t + t - t.
-69*t
Expand (-x + 0*x + 2*x)*(-3*x**4 - x**4 + 5*x**4) - 39*x**5 + 76*x**5 - 601*x**5.
-563*x**5
Expand (-4*f**2 - 24 + 24)*(9*f - 3*f + 0*f + f + 2*f - 5*f + 0*f - f + 2*f + 0*f + 2*f + 0*f + (-5 + 2*f + 5)*(1 - 1 + 2)).
-44*f**3
Expand 20*f + 146 - 146 + (3 - 2 - 2)*(0*f - f + 0*f) + 0*f - 3*f - 2*f - 2*f + 5*f + 0*f.
19*f
Expand 2*g - 40*g**4 + 11*g**4 + 11*g**4 + 2*g**2 + 3*g**4 + 0*g**4 - g**4 + (2 - 4 + 1)*(0*g**4 + 0*g**4 - g**4).
-15*g**4 + 2*g**2 + 2*g
Expand (7 - 1 - 2 + (-3 + 2 + 0)*(-2 - 1 + 1))*(-5*a - 8 - 2 + 4*a).
-6*a - 60
Expand -b**5 - 4*b**5 + 33*b**5 + (4 - 4 + b**4)*(5 - 5 + b) + 0*b**5 + 0*b**5 + 3*b**5.
32*b**5
Expand (-13*m - 14*m + 24*m)*(-5*m - 25*m + m - 8*m).
111*m**2
Expand n + 0*n - 3*n - 230 + 230 + 26*n + (-2 - 3 + 3)*(3 + n - 3) + 2 - 2 + n.
23*n
Expand -2*n + 2*n - 2*n**4 + (2 - 2 + 2*n**3)*(-n + 2*n + n) + 22*n**4 + 12*n**4 - n**4 + 3*n**4 + 2*n**4 - 3*n**4 + 6*n**4 + 3*n**4 - n**4.
45*n**4
Expand (1 - 44 - 11)*(r**2 - r**2 + 3*r**4) - 3*r**4 - 2*r + 0*r + 4*r**4.
-161*r**4 - 2*r
Expand (3 + 21 + 3)*(6
|
{
"pile_set_name": "DM Mathematics"
}
|
PM
What is 672 minutes after 12:11 AM?
11:23 AM
How many minutes are there between 9:41 PM and 9:18 AM?
697
How many minutes are there between 7:27 PM and 11:51 PM?
264
How many minutes are there between 12:10 AM and 9:19 AM?
549
What is 400 minutes before 1:00 PM?
6:20 AM
What is 191 minutes after 5:44 AM?
8:55 AM
How many minutes are there between 5:31 AM and 3:42 PM?
611
How many minutes are there between 1:12 PM and 2:29 PM?
77
What is 328 minutes before 2:23 PM?
8:55 AM
What is 491 minutes after 9:35 AM?
5:46 PM
How many minutes are there between 3:46 PM and 6:25 PM?
159
What is 160 minutes before 12:19 PM?
9:39 AM
What is 661 minutes after 8:38 AM?
7:39 PM
What is 231 minutes before 8:52 PM?
5:01 PM
What is 416 minutes before 3:06 PM?
8:10 AM
How many minutes are there between 11:36 AM and 8:10 PM?
514
What is 123 minutes after 4:23 AM?
6:26 AM
How many minutes are there between 12:28 AM and 8:02 AM?
454
What is 170 minutes after 2:10 AM?
5:00 AM
What is 371 minutes after 1:12 PM?
7:23 PM
What is 707 minutes after 8:24 PM?
8:11 AM
How many minutes are there between 2:43 PM and 10:31 PM?
468
What is 172 minutes after 10:14 AM?
1:06 PM
How many minutes are there between 7:43 AM and 1:14 PM?
331
How many minutes are there between 4:13 PM and 9:55 PM?
342
How many minutes are there between 3:48 PM and 11:24 PM?
456
What is 549 minutes after 8:00 AM?
5:09 PM
How many minutes are there between 11:05 PM and 10:44 AM?
699
How many minutes are there between 6:02 AM and 11:55 AM?
353
What is 344 minutes before 6:23 AM?
12:39 AM
How many minutes are there between 11:51 AM and 3:34 PM?
223
How many minutes are there between 7:16 AM and 12:40 PM?
324
How many minutes are there between 5:47 PM and 6:37 PM?
50
How many minutes are there between 7:06 AM and 6:52 PM?
706
What is 636 minutes before 9:57 PM?
11:21 AM
How many minutes are there between 7:31 PM and 7:50 PM?
19
How many minutes are there between 1:03 PM and 10:55 PM?
592
How many minutes are there between 11:46 AM and 2:05 PM?
139
What is 54 minutes after 5:18 PM?
6:12 PM
How many minutes are there between 9:40 AM and 10:05 AM?
25
What is 33 minutes before 9:26 AM?
8:53 AM
What is 599 minutes before 11:08 PM?
1:09 PM
What is 660 minutes before 7:35 PM?
8:35 AM
How many minutes are there between 4:45 PM and 3:45 AM?
660
What is 238 minutes before 10:58 AM?
7:00 AM
What is 532 minutes after 5:08 PM?
2:00 AM
How many minutes are there between 10:15 AM and 1:38 PM?
203
How many minutes are there between 11:32 PM and 2:49 AM?
197
How many minutes are there between 2:35 PM and 9:38 PM?
423
What is 98 minutes before 10:24 AM?
8:46 AM
How many minutes are there between 1:46 PM and 6:16 PM?
270
What is 142 minutes after 1:44 AM?
4:06 AM
What is 665 minutes after 1:04 AM?
12:09 PM
What is 327 minutes after 3:03 AM?
8:30 AM
How many minutes are there between 4:56 PM and 8:27 PM?
211
How many minutes are there between 10:37 AM and 11:31 AM?
54
How many minutes are there between 4:34 AM and 5:33 AM?
59
What is 325 minutes after 1:39 PM?
7:04 PM
How many minutes are there between 8:19 AM and 8:13 PM?
714
How many minutes are there between 11:46 AM and 3:49 PM?
243
What is 144 minutes before 3:26 PM?
1:02 PM
What is 596 minutes before 11:14 AM?
1:18 AM
How many minutes are there between 3:52 PM and 2:17 AM?
625
What is 539 minutes before 11:39 PM?
2:40 PM
What is 249 minutes after 2:11 AM?
6:20 AM
What is 195 minutes before 8:20 PM?
5:05 PM
How many minutes are there between 3:18 AM and 1:59 PM?
641
How many minutes are there between 12:02 PM and 10:01 PM?
599
What is 96 minutes before 4:28 AM?
2:52 AM
What is 423 minutes before 4:35 PM?
9:32 AM
What is 700 minutes after 6:23 AM?
6:03 PM
What is 111 minutes before 10:27 AM?
8:36 AM
How many minutes are there between 10:13 AM and 3:50 PM?
337
What is 217 minutes before 6:08 AM?
2:31 AM
How many minutes are there between 1:29 AM and 3:36 AM?
127
How many minutes are there between 7:54 AM and 11:51 AM?
237
How many minutes are there between 1:49 PM and 7:17 PM?
328
What is 117 minutes after 1:48 PM?
3:45 PM
How many minutes are there between 2:04 PM and 12:38 AM?
634
How many minutes are there between 5:40 PM and 8:02 PM?
142
How many minutes are there between 4:06 PM and 2:26 AM?
620
What is 207 minutes after 7:39 PM?
11:06 PM
How many minutes are there between 5:12 AM and 6:03 AM?
51
How many minutes are there between 8:52 AM and 7:55 PM?
663
How many minutes are there between 4:54 AM and 8:54 AM?
240
What is 374 minutes before 4:06 PM?
9:52 AM
What is 474 minutes after 2:44 PM?
10:38 PM
What is 184 minutes before 3:43 AM?
12:39 AM
How many minutes are there between 1:05 AM and 4:10 AM?
185
How many minutes are there between 5:37 PM and 8:28 PM?
171
How many minutes are there between 5:24 AM and 11:30 AM?
366
How many minutes are there between 7:18 PM and 5:35 AM?
617
What is 292 minutes before 4:20 PM?
11:28 AM
What is 117 minutes before 12:42 AM?
10:45 PM
How many minutes are there between 9:09 AM and 2:19 PM?
310
What is 204 minutes after 2:00 AM?
5:24 AM
What is 690 minutes after 7:27 AM?
6:57 PM
What is 634 minutes before 12:59 PM?
2:25 AM
How many minutes are there between 3:48 PM and 6:03 PM?
135
What is 564 minutes before 11:39 PM?
2:15 PM
What is 611 minutes after 3:57 PM?
2:08 AM
What is 616 minutes before 2:03 PM?
3:47 AM
What is 194 minutes after 10:22 AM?
1:36 PM
What is 493 minutes after 7:37 PM?
3:50 AM
How many minutes are there between 9:53 PM and 3:38 AM?
345
How many minutes are there between 8:01 AM and 2:43 PM?
402
How many minutes are there between 3:16 PM and 8:14 PM?
298
How many minutes are there between 12:58 PM and 3:53 PM?
175
How many minutes are there between 4:35 AM and 4:49 AM?
14
What is 414 minutes after 2:28 PM?
9:22 PM
How many minutes are there between 10:25 PM and 11:09 PM?
44
How many minutes are there between 12:02 AM and 1:02 AM?
60
How many minutes are there between 9:53 PM and 6:20 AM?
507
What is 630 minutes before 4:36 PM?
6:06 AM
What is 466 minutes after 12:31 AM?
8:17 AM
How many minutes are there between 5:06 PM and 2:48 AM?
582
How many minutes
|
{
"pile_set_name": "DM Mathematics"
}
|
the closest to -2? (a) t (b) -3 (c) w
b
Let i = 7 + -6.7. Let w = 0.4 - i. Let x = 0.3 - 0.4. What is the closest to w in -0.3, -1, x?
x
Let d = -112 - -115. What is the closest to 2 in d, -2, -18?
d
Suppose 47 + 43 = -5*n. Let l be (-1)/(n/22) + -1. Let k = -8 - -5. Which is the nearest to l? (a) -1 (b) k (c) -2
a
Suppose i = -4*i. Let d = 31 + -30. Which is the nearest to i? (a) 1/2 (b) d (c) 1/5
c
Suppose -2*x = 2*x - 4, 3*n + x + 8 = 0. Let z = 0.02 + 0.18. Let w = 0.15 + -0.05. Which is the nearest to w? (a) z (b) -2/13 (c) n
a
Let n = 84 - 83.7. What is the closest to 12 in n, -2, 1?
1
Let k = -171/118 + -3/59. Let q = -24.33 - -21.4. Let y = q + -0.07. What is the nearest to -2/7 in k, y, -0.5?
-0.5
Suppose 15 = 5*c + 4*s, -4*c - s + 3*s = -12. Suppose c*y - 640 = -2*y. Let n = 643/5 - y. What is the closest to -0.1 in -4, -1, n?
n
Suppose 4 = 2*r - 12. Let m = r + -18. Let w = -14 - m. Which is the closest to -1? (a) -3 (b) w (c) 0.4
c
Let z be 1/(-1) + (1 - -3). Let x(n) = n**2 + 9*n + 5. Let o be x(-4). Let g be (-11)/o + 21/35. Which is the nearest to -2/3? (a) -1/6 (b) z (c) g
a
Let w = -1.9 + 2. Let u(d) = d**3 - 5*d**2 + 4*d + 1. Let m be u(3). Let q = -8 - m. Which is the closest to w? (a) q (b) -4 (c) -0.5
c
Let w = -0.09 - -0.19. Let v = -1 + -2. Let g = v - 2. What is the nearest to w in g, 0.5, -2?
0.5
Let g = -5.2 - -5. Let q = 0.1 + -0.06. Let l = -0.06 - q. Which is the nearest to l? (a) g (b) -2 (c) -2/11
c
Let t = -3 - -2.9. Let u = 5 + 0. Let p be ((-14)/21 + 0)*(-6)/(-8). Which is the nearest to p? (a) t (b) 2/13 (c) u
a
Suppose -v = 2*p - 3 - 5, 2*p + 3*v - 8 = 0. Let c = 0.4 - 0.3. What is the nearest to c in -0.3, p, 2?
-0.3
Let x = 68 + -66. What is the closest to 3 in x, -1/2, -3/2?
x
Let g = 17/33 + -1/3. Which is the closest to 1? (a) g (b) -0.3 (c) 1/5
c
Let t(z) = z**3 - 7*z**2 + z + 1. Let p be t(7). Suppose -2*r - 2*n = -16, -3*r + 4*n = r + p. Let s be r/9 + 10/6. What is the closest to -3 in 2/5, -5, s?
-5
Suppose -k = 3*k - w - 16, 2*k - 18 = 3*w. Let y = 0 - 2. Let u = y + 1.9. Which is the nearest to 1? (a) k (b) -4 (c) u
c
Let p = -37/7 + 5. What is the closest to 1 in 2/3, p, -3?
2/3
Let o = -12.97 - 0.03. Let q = 10 + o. Which is the nearest to 2? (a) -4 (b) 1 (c) q
b
Let g(y) = -y - 11. Let o be g(-10). What is the closest to o in -0.4, -0.14, -1/5?
-0.4
Let t be (1 - 0) + (3 - 5). Let d = 1 + 1. Which is the closest to 0? (a) d (b) t (c) -5
b
Let z = 1 + -1. Let j be z + (2 - (3 - 2)). What is the closest to 0 in j, -0.1, 2/5?
-0.1
Let z = 4.6 - 3.6. Which is the closest to 0? (a) z (b) 5 (c) 0.05
c
Suppose -3*s + 25 = -8*s. Let r be (-2)/(s/(10/(-16))). Let j = -0.1 - -0.1. What is the nearest to j in r, 1, -4?
r
Let i be (-4)/10 - (-8)/(-20). Let x be (-8)/3*21/14. Which is the nearest to 0? (a) 2/7 (b) i (c) x
a
Let q = 40 + -20. Suppose -5*o + d = 2*d + 29, 5*d + q = 0. Let g = 2 + -3. Which is the closest to g? (a) o (b) -2/5 (c) 2/7
b
Let j = 41.8 + -36. Let n = j - 6. What is the nearest to -2/7 in 2/11, n, 3?
n
Suppose -1 = -0*m + 2*m + 3*h, -5*m + 3*h = -29. Let b be 34/(-60) + (-3)/(-18). What is the closest to -4 in m, 2/11, b?
b
Let j(c) = -c**2 + 12*c - 22. Let k be j(9). Let t be 2 - ((-9)/(-1) + -2). Let d = -3 + 3.1. What is the nearest to d in t, 0.5, k?
0.5
Let o be 1/(9/4)*21/(-42). Let m = -0.6 - -4.6. What is the closest to 0.2 in 3, o, m?
o
Let s = 17 - 20. Let w = 8 + -8. Which is the nearest to 1/4? (a) -4 (b) w (c) s
b
Let v be 0/(-4*2/4). Let h be -1 - -3 - (-32)/(-20). Which is the nearest to -1? (a) v (b) 3 (c) h
a
Let r = 0.4 - -2.6. Let h = 33.9 - 34. Which is the nearest to 0.1? (a) r (b) h (c) -2/11
b
Let h = -49/2 - -24. Which is the closest to 1/4? (a) h (b) -5 (c) 2/9
c
Let f = 0.088 + 0.012. Which is the closest to 1? (a) f (b) 1 (c) 1/4
b
Let v be (-12)/(-8) - (-4965)/(-22). Let t = v - -224. Which is the nearest to -2/9? (a) 0.3 (b) t (c) -4
b
Let r = 0.33 - 0.13. Which is the closest to r? (a) -4 (b) 3 (c) -5
b
|
{
"pile_set_name": "DM Mathematics"
}
|
ded by 17?
11
Suppose 63 = 3*j - 0*j. Suppose -16 - 596 = -6*b. Calculate the remainder when b is divided by j.
18
Let k(u) = 148*u - 4. Let v be k(-2). Suppose 125 = 4*r - i, r - 2*i - 20 = -4*i. What is the remainder when r is divided by v/(-28) - 2/(-7)?
8
Let r(p) = -p**3 + 4*p**2 + p - 1. What is the remainder when r(2) is divided by (3/2)/(-14*(-11)/616)?
3
Let q(d) = -3 + 12*d - 8*d - 1. Let i be q(-4). Calculate the remainder when (i/25)/((-2)/35) is divided by 8.
6
Let y = 7 + 0. Suppose -2*i = -3*h + 9, 2*h - 5*i = -2*h + 5. Suppose -21 + 11 = -h*x. Calculate the remainder when y is divided by x.
1
Suppose 0 = -2*d - 4*m + 86, -5*d = 5*m - 324 + 94. Suppose 3*y - 2 = -5*j - 0, y - 2*j + 14 = 0. What is the remainder when y/21 - (-3885)/d is divided by 20?
19
Let d(s) = -2*s**2 + 77*s + 84. Calculate the remainder when d(37) is divided by 28.
27
Suppose s = -3*y + 12, -2*s + 0*s + 28 = 2*y. Let k(f) = 3*f**3 - 3*f**2 - 4*f + 2. Suppose z + 0 = 3. What is the remainder when k(z) is divided by s?
14
Let a be 18/99 - 53/(-11). Suppose -45 = -a*c + 25. Let f(x) = 3*x**3 + 2*x**2 - x. Calculate the remainder when c is divided by f(1).
2
Let a = 20 + -17. Suppose a*f = -6, 3*f - 8*f = 5*x. Suppose -y - x*o = 2*y - 26, -y + 3*o = -16. What is the remainder when 18 is divided by y?
8
Calculate the remainder when 198 is divided by 9503/187 - ((-24)/(-33))/(-4).
45
Calculate the remainder when (17/((-561)/6974))/(6/(-9)) is divided by 19.
13
Let l = 368 - 259. Calculate the remainder when l is divided by 28.
25
Let m(j) = -j**2 + j + 11. Suppose d + 16 = n + 3*n, 2*n - 26 = -4*d. Let k(c) = -c + 5. Let o be k(n). Calculate the remainder when 41 is divided by m(o).
8
Let d be 47/7 - 10/(-35). Let t = d - -43. Suppose -2*a = -4*a + 52. Calculate the remainder when t is divided by a.
24
Let x = -1222 - -1320. What is the remainder when 259 is divided by x?
63
Suppose 2*s = 31 - 11. Suppose -3*h = -h - s. Suppose 2*q - 90 = -3*n, -3*q = -3*n + h*n - 130. Calculate the remainder when q is divided by 9.
6
Let i(v) = 2*v**3 + v**2 - 21*v + 49. Calculate the remainder when i(4) is divided by 14.
11
Let p = -559 - -592. Calculate the remainder when 85 is divided by p.
19
Let t be -141*((-24)/(-9) + -3). Let g = 56 - t. What is the remainder when g is divided by 2?
1
Let s(y) = -y**3 + 4*y. Let i be s(0). Suppose i = 5*x - 122 - 188. Calculate the remainder when x is divided by 32.
30
Suppose 22*u - 3840 = -38*u. What is the remainder when 253 is divided by u?
61
Suppose 5*c = 5*d + 2*c - 21, -d - 4*c = 5. Calculate the remainder when 111 is divided by 2/(-4)*d*1862/(-147).
16
Let w = 59 + -55. Suppose w*a - 59 = 237. What is the remainder when a is divided by 19?
17
Suppose 2*n + 74 = 5*g - 48, -5*g = 4*n - 146. Let k = 166 - 65. What is the remainder when k is divided by g?
23
Suppose 2*g + 92 = -4*a + 8*a, 0 = a + 5*g - 1. What is the remainder when 603 is divided by a?
15
Suppose 0 = 7*a - 577 - 200. What is the remainder when a is divided by 23?
19
Let t(f) = f**3 + f**2 + 25. Let x = -20 + 69. What is the remainder when x is divided by t(0)?
24
Let t = 501 + -287. What is the remainder when t is divided by 57?
43
Suppose -45*p + 2557 = 434 - 1297. Calculate the remainder when p is divided by 25 + 1/(-2 - -3).
24
Let r(o) = 2*o**2 - 110*o - 73. Calculate the remainder when 131 is divided by r(56).
14
What is the remainder when (-2)/(-4) + (-210)/(-4) is divided by (1/(-1)*-27)/(-37*19/(-703))?
26
Let z be ((-1)/3)/(14/42). Calculate the remainder when 50 is divided by -1 - z - (-9 - -5).
2
Let h = -275 - -303. What is the remainder when h is divided by 6?
4
Suppose 3*i - 2*l + 37 = 2*l, 3*i = 3*l - 42. Let s = -3 - i. Let w = -243 + 272. Calculate the remainder when w is divided by s.
13
Let s(c) = c**3 - 7*c**2 - c + 10. Let k be s(7). Let x = -50 + 108. Calculate the remainder when x is divided by 2*(-3 + 12) - k.
13
Suppose -9*b + 993 + 3444 = 0. Calculate the remainder when b is divided by 33.
31
Let n(f) = 4*f**2 + 1. Let x be n(1). Suppose x*g - 3*m = 756, 3*m + 37 - 331 = -2*g. Calculate the remainder when g is divided by 38.
36
Let w(d) = 2*d**2 - 2. Suppose -5*a + 0*a - 10 = 0. Let g be w(a). Suppose 0*i = g*i - 108. Calculate the remainder when 70 is divided by i.
16
Suppose 0 = -3*z - 5*d + 124, 18*d - 23*d - 177 = -4*z. What is the remainder when 1160 is divided by z?
42
Suppose 6*b + 8 = 4*b. Calculate the remainder when -4*1/(-8) - 526/b is divided by 27.
24
Suppose 5*o - 13 = 2. Suppose -13 = 4*h + o, -2*f + 2*h + 50 = 0. Let y = f - -4. What is the remainder when 99 is divided by y?
24
Let u = 39 + -34. Suppose -z + o + 26 = 6, 0 = 2*z - u*o - 49. What is the remainder when z is divided by 9?
8
Let w(j) = 46*j + 2. Let f(n) = -7*n + 411. Calculate the remainder when w(2) is divided by f(56).
18
Let j = 1 + 162. What is the remainder when j is divided by 31?
8
Let y = 8 + -4. Suppose -q - y*q + 180 = 0. Calculate the remainder when (1 + 3/(-6))*1*140 is divided by q.
34
Let w(m) = 4*m - 8. Let s be w(3). Suppose -d - g = -2, s*d - 9 = g + 9. What is the remainder when d is divided by 1?
0
Let y = 10 - 5. Suppose -y*n = -3*n. Suppose n = 3*m - 1 - 32. Calculate the remainder when m is divided by 7.
4
Suppose 11*g - 765 = 6*
|
{
"pile_set_name": "DM Mathematics"
}
|
9*i
Let w(v) = v. Let p(s) be the third derivative of -7*s**4/24 + 11*s**2. Give p(w(i)).
-7*i
Let n(i) = -27 + 27 - 3*i**2. Let c(g) = 0*g + g + 0*g. Give n(c(u)).
-3*u**2
Let d(w) = w + 5. Let u(o) = -2. Let m(h) = 2*d(h) + 5*u(h). Let c(z) = z + 3*z - 3*z. Calculate m(c(f)).
2*f
Let t(a) = 7*a. Let z(p) = 5*p**2 + 8*p + 8. Let q(c) = -3*c**2 - 5*c - 5. Let f(b) = -8*q(b) - 5*z(b). Determine t(f(w)).
-7*w**2
Let i(u) = -2*u**2 - 22. Let m(t) = 2*t**2. What is i(m(q))?
-8*q**4 - 22
Let a(t) = -305*t. Let k(r) = 29*r. Determine a(k(i)).
-8845*i
Let j(i) = 22*i. Let g(k) = -31*k**2 + 8*k**2 + 12*k**2 + 6*k**2. What is g(j(x))?
-2420*x**2
Let d(f) = f - 1. Let n(k) = 13*k - 3. Let s(x) = 6*d(x) - 2*n(x). Let h(i) = i**2. Determine h(s(a)).
400*a**2
Let y(x) be the third derivative of -x**4/12 + x**2. Let n = 9 + -5. Let q(g) = 7*g**2 + 4 - 8*g**2 - n. What is q(y(f))?
-4*f**2
Let a(n) be the first derivative of -8*n**3 + 18. Let t(v) = -3*v**2. Give a(t(p)).
-216*p**4
Let x(n) = -2*n**2. Let f(z) = 8*z**2 + 5*z. Let d(u) = -9*u**2 - 4*u. Let o(r) = 5*d(r) + 4*f(r). Give x(o(a)).
-338*a**4
Let d(q) = q - 1. Let c(r) = -8*r + 5. Let k(o) = c(o) + 5*d(o). Let h(u) = u + 10. Let b(n) = n + 6. Let m(s) = -5*b(s) + 3*h(s). What is k(m(j))?
6*j
Let y(a) = -3*a**2. Let j(b) = 6*b + 5*b + 0*b. What is y(j(w))?
-363*w**2
Let c(i) = -i**2. Let r(o) be the first derivative of 4*o**3/3 - 18. Give c(r(y)).
-16*y**4
Let d(i) = -i**2. Let j(m) = 11333*m**2. Give d(j(n)).
-128436889*n**4
Let c(g) = -5*g**2. Let a(y) be the first derivative of -2*y**3 + 6. What is a(c(z))?
-150*z**4
Let q(t) = 17*t**2. Let d(y) = -12*y. Give d(q(v)).
-204*v**2
Suppose 7*d - 4 = 3*d + 4*r, 0 = 4*d + r - 19. Let q(j) = 3*j - 3*j - d*j + 3*j. Let k(l) = 2*l. Determine k(q(o)).
-2*o
Let c(n) = -3*n**2 + n**2 - 4*n + 4*n. Let r(p) = 6*p**2. Determine c(r(x)).
-72*x**4
Let l(i) = i**2. Let o(x) = 17*x**2 + 3*x**2 - 350*x + 350*x. Calculate o(l(q)).
20*q**4
Let w(p) = p**2 + 0*p**2 + 0*p**2. Let z(r) be the second derivative of r**6/120 + r**3/3 - r. Let t(l) be the second derivative of z(l). Give w(t(c)).
9*c**4
Let y(c) = 3*c. Let g(m) = -7*m**2 - 158*m + 1. Calculate y(g(a)).
-21*a**2 - 474*a + 3
Let f(t) = 4*t**2 + 34*t. Let y(i) = -25*i**2. Determine f(y(l)).
2500*l**4 - 850*l**2
Let y(n) be the third derivative of n**4/6 - 45*n**2 + 1. Let z(c) = 12*c**2. Give z(y(q)).
192*q**2
Let i(p) = 2*p. Let a(k) = -77*k + 4. What is i(a(m))?
-154*m + 8
Suppose -x + 4 = 2*i, 4*i + 3 = -3*x + 13. Let b(q) be the first derivative of i + 1/3*q**3 + 0*q**2 + 0*q. Let c(y) = y. Give c(b(k)).
k**2
Let p(v) = v + 22. Let k(c) = 5*c. What is p(k(s))?
5*s + 22
Let w(v) = -157*v. Let i(u) = 2*u**2. Calculate i(w(h)).
49298*h**2
Let k(v) = -5*v. Let s = 3 + -9. Let j(p) = -p**2 - 7*p - 4. Let n be j(s). Let h(b) = b - b + b**n. Determine h(k(c)).
25*c**2
Let w(o) = 960*o. Let v(g) = -8*g. What is w(v(l))?
-7680*l
Let z(c) = 33*c**2. Let p(x) = x**2. What is p(z(l))?
1089*l**4
Let i(y) = -408*y. Let g(d) = 2*d**2. Determine i(g(s)).
-816*s**2
Let u(m) = -3*m**2 + 9*m. Let k(w) = 2*w. Give u(k(g)).
-12*g**2 + 18*g
Let x(d) = -d. Let j be ((-4)/6)/((-4)/12). Let o(q) = 6*q**2 + q**2 - j*q**2 - 2*q**2. What is x(o(f))?
-3*f**2
Let z = -6 + 9. Let f(w) = z - w - 3. Let h(v) = v**2 + 2*v**2 - 7*v**2. Give f(h(d)).
4*d**2
Let c(p) = -109*p. Let i(y) = -3*y**2. Calculate c(i(d)).
327*d**2
Let w(s) = -4*s**2. Let o(p) = 158*p + 1. What is o(w(f))?
-632*f**2 + 1
Let b(z) = 124*z + 1. Let y(i) = 38*i**2. Give y(b(w)).
584288*w**2 + 9424*w + 38
Let u(h) be the second derivative of 0 - h - 1/3*h**3 + 0*h**2. Let w(x
|
{
"pile_set_name": "DM Mathematics"
}
|
/12)/(11/(-44)).
-1
(-19)/((-684)/48)*6/(-4)
-2
Evaluate 13*10/390*7.
7/3
What is the value of 67/402*(-4)/6?
-1/9
What is the value of ((-2)/6)/(2/3)*-2?
1
(-81)/18*3/(-36)
3/8
What is 4*(-3)/6*5/(-5)?
2
Evaluate (-3)/(-28)*-8*(-6)/(-12).
-3/7
((14/4)/(-1))/(100/200)
-7
What is the value of 1/10*-7*(-12)/(-21)?
-2/5
Calculate 11/(-33)*(-4)/6.
2/9
Evaluate ((-49)/21)/7*-3.
1
Evaluate 1/(6*(-3)/(-36)).
2
What is the value of 76/798*7*-1?
-2/3
(18/(-12))/(6/(-24))
6
Evaluate (((-6)/(-18))/(-1))/(8/(-32)).
4/3
Calculate ((-65)/(-78))/(30/(-6)).
-1/6
Calculate (-166)/(-581)*14/4.
1
(49/196)/(18/(-16))
-2/9
((-14)/(-245)*7)/(4/30)
3
Calculate 3/36*8*2/(-3).
-4/9
What is the value of ((-14)/245)/(4/20)?
-2/7
Calculate ((-176)/(-7084))/(2/7).
2/23
Evaluate (16/48)/((-1)/9).
-3
Calculate (8/16)/(11/(-22)).
-1
Calculate (((-50)/(-5))/5)/(2/(-7)).
-7
What is ((100/(-6))/(-10))/(1/3)?
5
16/156*18/(-12)
-2/13
What is the value of 3*3*1*3/(-9)?
-3
What is 2/(-34)*11/(-77)*14?
2/17
What is the value of (-1)/((18/3)/(-12))?
2
Evaluate -5*((-34)/20)/17.
1/2
Calculate (-12)/5*115/69.
-4
(-414)/(-1035)*(25/2)/1
5
What is the value of (9*3/42)/((-42)/(-49))?
3/4
Calculate (-26)/(-1105)*(-1)/((-2)/10).
2/17
Evaluate (12/84)/((-12)/42).
-1/2
What is ((-15)/(-12))/((-9)/(-12))?
5/3
Calculate 2*4/(-24)*-1.
1/3
(6/(-9))/((-252)/54)
1/7
Evaluate (-12)/(-6)*((-1)/1)/1.
-2
Calculate 9/(-15)*25*(-8)/(-40).
-3
Calculate 1*4*11/(-132)*15.
-5
Calculate (3/(-27)*-3)/(1/9).
3
Calculate ((-35)/(-21))/(-5)*3.
-1
1/(10/70*-1)
-7
(6/(-20))/(2/(-4)*3)
1/5
What is ((-6)/(-45))/(5/30)?
4/5
What is the value of (-1*18/3)/(54/54)?
-6
What is the value of (1/(-2))/((12/6)/20)?
-5
What is the value of (-6)/15*(-10)/(-14)?
-2/7
Calculate 8/18*-3*(-8)/32.
1/3
Evaluate (-10)/1*(-1)/2.
5
What is the value of (0/(-1))/(2/(8/(-4)))?
0
Evaluate 15/10*(-12)/63.
-2/7
3/((-90)/20)*(-21)/(-4)
-7/2
((-8)/22)/(-4)*(-30)/15
-2/11
What is 9/((-108)/(-6))*0/(-2)?
0
Evaluate (-1)/(-2)*2*18/(-63).
-2/7
What is 10/25*1*15/(-27)?
-2/9
1*2*(-24)/16
-3
Calculate (7/21)/((-6)/(-18)).
1
((-8)/100)/((-14)/70)
2/5
What is the value of (8/112)/(4/(-14))*-28?
7
What is ((-2)/4)/(1/10)?
-5
Evaluate 5/2*(-108)/(-135).
2
Calculate ((-3)/(-14))/((-228)/(-266)).
1/4
Calculate ((-21)/(-63))/(-1*1).
-1/3
Calculate ((-12)/7)/((-76)/266).
6
((-4)/6)/(10/(-80)*4)
4/3
What is ((-1)/(-3))/(3/(-126)*-2)?
7
((-1)/(-21)*-3)/(-1)
1/7
What is the value of (-60)/24*-1*(-3)/15?
-1/2
What is 2*2/(8/10)*-1?
-5
Evaluate 2*23/(1242/12).
4/9
(-5*1/(-54))/(200/120)
1/18
Calculate 15/(-6)*63/1260.
-1/8
Evaluate ((-8)/(-42))/((-14)/21).
-2/7
Evaluate (-1*3)/(87/(-29)).
1
Evaluate (2/2)/((-28)/(-28)).
1
Evaluate 4/(-8)*6*3/(-63).
1/7
What is (1*3)/(54/90)?
5
Evaluate 1*(-10)/(-4)*(-2)/(-1).
5
Evaluate (64/(-12))/4*(-9)/(-2).
-6
Evaluate ((-15)/(-18))/((-4)/(-24)).
5
Calculate (-54)/(-27)*(-3)/(-36).
1/6
((126/(-12))/(-21))/((-2)/(-4))
1
Evaluate (-9)/3*11/44.
-3/4
What is the value of -1*2/(-2)*0/12?
0
(-2)/(-2)*(-2)/(-2)
1
Evaluate (28/735*5)/((-6)/7).
-2/9
What is (2/12*-2)/((-2)/(-18))?
-3
What is the value of ((-5)/(100/(-16)))/((-78)/(-15))?
2/13
Evaluate 2/4*-4*(-2)/(-1).
-4
Calculate (2*4/6)/((-54)/9).
-2/9
What is the value of (21/133)/((-39)/26)?
-2/19
What is the value of (12/(-96))/((-2)/16)?
1
Evaluate (1/((-6)/16))/((-90)/(-135)).
-4
What is the value of ((-8)/(-360))/(2/12)?
2/15
Calculate ((-84)/(-24))/((-2)/(-4)).
7
Evaluate (38/114)/(2/(-42)).
-7
Calculate ((-4)/12)/(7/(-7)).
1/3
Calculate ((2/3)/1)/((-86)/(-1161)).
9
What is the value of (-110)/(-165)*3/10?
1/5
What is the value of (-2*2/8)/(30/(-24))?
2/5
What is the value of (5/(-3)*-1)/(260/312)?
2
(-135)/(-450)*(-5)/6
-1/4
Evaluate 2/((-16)/(-30)*(-30)/40).
-5
What is (2/(-6))/(2*6/(-108))?
3
What is ((-24)/(-6))/(-20)*3?
-3/5
((-1)/(-34))/((-139)/556)
-2/17
Evaluate 8/((-16)/3)*(-1)/6.
1/4
Evaluate ((-2)/(-6))/(15/(-1350)*5).
-6
What is the value of ((-6*(-7)/378)/1)/1?
1/9
What is the value of ((-2)/8*-2)/(4/(-32))?
-4
Evaluate (2070/(-483))/((-6)/14).
10
What is 1/(-1)*(-3)/12*0?
0
-4*(-7)/756*6
2/9
What is 4/3*(-207)/46?
-6
Calculate (((-18)/15)/((-24)/(-30)))/6.
-1/4
(-8)/(-6)*(-45)/(-210)
2/7
Evaluate 4/(-3)*(-2)/((-36)/3).
-2/9
What is the value of (6/8)/(-9*(-3)/(-24))?
-2/3
Calculate (-55)/(-22)*54/45.
3
What is the value of (28/(-35))/(26*1/(-5))?
2/13
Evaluate ((-72)/(-36))/(-5*(-2)/(-4)).
-4/5
Evaluate ((-8)/(-10))/((-9)/45).
-4
Calculate 10/105*(-3)/((-27
|
{
"pile_set_name": "DM Mathematics"
}
|
*p**2 + 965
What is the t'th term of -402, -403, -404, -405, -406?
-t - 401
What is the t'th term of -67, -313, -735, -1333, -2107, -3057?
-88*t**2 + 18*t + 3
What is the k'th term of -22, -31, -74, -169, -334?
-3*k**3 + k**2 + 9*k - 29
What is the n'th term of -77, -150, -223, -296?
-73*n - 4
What is the a'th term of 7, 18, 41, 82, 147?
a**3 + 4*a + 2
What is the c'th term of -104, -106, -118, -146, -196, -274, -386, -538?
-c**3 + c**2 + 2*c - 106
What is the m'th term of -82, -79, -76, -73, -70, -67?
3*m - 85
What is the p'th term of -1168, -1211, -1264, -1333, -1424, -1543, -1696?
-p**3 + p**2 - 39*p - 1129
What is the p'th term of 77, 171, 255, 323, 369?
-p**3 + p**2 + 98*p - 21
What is the s'th term of 39, 59, 79, 99?
20*s + 19
What is the n'th term of -821, -820, -819?
n - 822
What is the p'th term of -1477, -1478, -1481, -1486, -1493?
-p**2 + 2*p - 1478
What is the w'th term of 191, 295, 399?
104*w + 87
What is the w'th term of 386, 384, 382, 380?
-2*w + 388
What is the u'th term of 3772, 7541, 11308, 15073, 18836, 22597, 26356?
-u**2 + 3772*u + 1
What is the m'th term of 15, 0, -29, -78, -153, -260, -405, -594?
-m**3 - m**2 - 5*m + 22
What is the j'th term of 1, 70, 175, 310, 469, 646?
-j**3 + 24*j**2 + 4*j - 26
What is the p'th term of -111, -64, -17, 30, 77, 124?
47*p - 158
What is the i'th term of 39467, 39466, 39465?
-i + 39468
What is the t'th term of -6742, -6731, -6712, -6685?
4*t**2 - t - 6745
What is the l'th term of -93, -185, -279, -375, -473?
-l**2 - 89*l - 3
What is the b'th term of 43, 181, 431, 799, 1291, 1913, 2671, 3571?
b**3 + 50*b**2 - 19*b + 11
What is the l'th term of 31, 0, -29, -56?
l**2 - 34*l + 64
What is the d'th term of 379, 374, 367, 358?
-d**2 - 2*d + 382
What is the c'th term of -259, -276, -311, -370, -459, -584?
-c**3 - 3*c**2 - c - 254
What is the s'th term of 37, 75, 113, 151, 189, 227?
38*s - 1
What is the i'th term of 2163, 2161, 2157, 2151, 2143, 2133?
-i**2 + i + 2163
What is the x'th term of 392, 729, 1066, 1403?
337*x + 55
What is the z'th term of -965, -959, -941, -905, -845?
z**3 - z - 965
What is the k'th term of -235, -234, -231, -226, -219?
k**2 - 2*k - 234
What is the s'th term of -154, -156, -158, -160?
-2*s - 152
What is the m'th term of 216, 218, 226, 240, 260?
3*m**2 - 7*m + 220
What is the l'th term of 51, 71, 91, 111, 131?
20*l + 31
What is the y'th term of 503, 471, 439, 407, 375, 343?
-32*y + 535
What is the t'th term of 1356, 2711, 4068, 5427, 6788, 8151, 9516?
t**2 + 1352*t + 3
What is the y'th term of -472, -904, -1322, -1720, -2092, -2432, -2734, -2992?
y**3 + y**2 - 442*y - 32
What is the d'th term of -41, -46, -55, -68, -85?
-2*d**2 + d - 40
What is the l'th term of 193, 386, 591, 814, 1061, 1338, 1651, 2006?
l**3 + 186*l + 6
What is the f'th term of -21, -47, -111, -231, -425, -711, -1107, -1631?
-3*f**3 - f**2 - 2*f - 15
What is the s'th term of -9, -24, -53, -102, -177, -284, -429, -618?
-s**3 - s**2 - 5*s - 2
What is the d'th term of 77, 77, 85, 107, 149?
d**3 - 2*d**2 - d + 79
What is the v'th term of -50, -113, -194, -299, -434, -605, -818, -1079?
-v**3 - 3*v**2 - 47*v + 1
What is the b'th term of 90, 95, 102, 111, 122, 135?
b**2 + 2*b + 87
What is the f'th term of 153, 307, 461?
154*f - 1
What is the t'th term of 8363, 16725, 25087, 33449, 41811?
8362*t + 1
What is the c'th term of 4, -4, -18, -38?
-3*c**2 + c + 6
What is the x'th term of -110, -569, -1334, -2405, -3782, -5465, -7454?
-153*x**2 + 43
What is the g'th term of 34, 64, 96, 130, 166?
g**2 + 27*g + 6
What is the o'th term of -56, -105, -152, -197?
o**2 - 52*o - 5
What is the m'th term of 7, 1, -5, -11?
-6*m + 13
What is the t'th term of 141, 279, 419, 561, 705?
t**2 + 135*t + 5
What is the q'th term of 108, 99, 78, 39, -24, -117?
-q**3 - 2*q + 111
What is the a'th term of -672, -1347, -2024, -2703?
-a**2 - 672*a + 1
What is the f'th term of 8, 28, 60, 104, 160?
6*f**2 + 2*f
What is the u'th term of 66, 122, 170, 210, 242, 266, 282?
-4*u**2 + 68*u + 2
What is the n'th term of -1, -57, -209, -505, -993, -1721, -2737, -4089?
-8*n**3 + 7
What is the t'th term of 193, 792, 1793, 3196?
201*t**2 - 4*t - 4
What is the o'th term of -228, -232, -236, -240?
-4*o - 224
What is the z'th term of -7, -14, -31, -64, -119, -202?
-z
|
{
"pile_set_name": "DM Mathematics"
}
|
y = -794 + 187. Let m = y - -609. Suppose -b + 3 - 7 = -2*n, -b = -n. Put -4, n, m, 1/4 in descending order.
n, m, 1/4, -4
Let v(s) = 3*s**3 - 134*s**2 - 154*s - 68. Let x be v(46). Put -5, 1, x in ascending order.
-5, 1, x
Suppose -q + 5 = 0, -5*j - q + 46 = -59. Let d be ((-10)/j)/(9/(-12)*-6). Let g = -1/4 - -3/4. Sort g, d, 0, 0.1 in descending order.
g, 0.1, 0, d
Let r(f) = f**2 - 13*f + 3. Let j be r(13). Suppose -5*u = -j*u - 4. Let g be (-406)/(-105) - u/(-15). Sort -8, g, -4 in ascending order.
-8, -4, g
Let a be (-51)/(-7) - (-2 - -9). Let n = 6.89 - -2.11. Put a, 3, n in decreasing order.
n, 3, a
Let h = 467.8 - 468. Put -5, h, 0.2, -7, -0.4 in descending order.
0.2, h, -0.4, -5, -7
Suppose -3*g = -3*k - 3, 4*g + 1 = 3*k + 5. Let s be 323/19*-1*(k + 1). Let y(i) = 2*i**2 + 33*i - 15. Let r be y(s). Sort r, -3, 3, 27 in descending order.
27, 3, r, -3
Let q = -13 + 13. Let y = -54 + 117. Let j = y + -316/5. Sort 1/3, q, j, -3.
-3, j, q, 1/3
Let p = 4657.1 + -4657. Let b be ((-2)/4)/((-106)/8). Sort 5, -5, b, p in descending order.
5, p, b, -5
Let k be (22 - 1443/65) + (-39)/5. Put -5, k, 4 in ascending order.
k, -5, 4
Let w = 31 - 28. Suppose h = 12*h - 22. Suppose 2*k + 4*p = 0, 0 = -h*p - 0*p + 4. Sort w, -8, k in descending order.
w, k, -8
Let t be 11 - (2/(-3))/(16/(-24)). Let x = -17 - -18. Suppose 0 + 3 = -a, 35 = -5*g - 5*a. Put t, g, x in descending order.
t, x, g
Let h(f) = 4*f + 2 - 11 - 81. Let v be h(23). Sort v, 4, 17 in decreasing order.
17, 4, v
Suppose -3 - 3 = 2*y. Let z be 96/16*(1012/(-330))/((-4)/5). Put y, z, 4, 3 in decreasing order.
z, 4, 3, y
Let u = -16637 + 18592. Put 2/19, 2/5, u, 3 in decreasing order.
u, 3, 2/5, 2/19
Let o = -13147.2 + 13147. Put -13, o, -57, 1, -2/11 in descending order.
1, -2/11, o, -13, -57
Let y = 870 - 1330. Let n = -462 - y. Sort -14, 0, 4, n.
-14, n, 0, 4
Let x = 803 + 123. Sort x, -5, 4.
-5, 4, x
Let n = -6497 + 6500. Put -1/2, n, -9, 2/17, 0.1 in increasing order.
-9, -1/2, 0.1, 2/17, n
Let q(y) = -2*y**3 - 2*y**2 + 7*y. Let t be q(-3). Suppose -t = 9*w + 3. Suppose -33*o - 1 = -34*o. Sort o, -5, w in increasing order.
-5, w, o
Suppose 19*a = 22*a - n - 16, 5*n = 5*a - 20. Put -0.3, a, -1/6, -0.8 in decreasing order.
a, -1/6, -0.3, -0.8
Suppose -57 - 26 + 21 = 31*p. Put 241, p, 1 in descending order.
241, 1, p
Let k = 18039 - 18038. Sort -3, -1, k, -3/7, 2/165.
-3, -1, -3/7, 2/165, k
Let m = -1 - -0.5. Let h(y) = -7*y**2 + 2*y - 4. Let t be h(-5). Let a = 557/3 + t. Put m, 0, a in decreasing order.
0, m, a
Let g = -0.65 + 0.17. Let s = 0.98 + g. Put -0.3, s, -4/3 in descending order.
s, -0.3, -4/3
Let h = 3.807 + -0.807. Let p = -3 - -7. Put p, -5.1, 0.4, h in ascending order.
-5.1, 0.4, h, p
Suppose 0 = 286*d - 290*d - 8, 3*s + 3*d = -42. Put -3, s, 5, -6, 7 in increasing order.
s, -6, -3, 5, 7
Let h(z) = -z - 16. Let m = -56 + 128. Suppose 39*p - 35*p = -m. Let k be h(p). Sort -4, k, 0.
-4, 0, k
Let g be 56/6 + (67 - 70) + (1 - 8). Sort 58, -8/5, g in increasing order.
-8/5, g, 58
Let v = -158 + 158.4. Sort -31, 5, v, 1, 1/3 in decreasing order.
5, 1, v, 1/3, -31
Let h be 1840/32*(-12)/(-5). Suppose 3*d + h = 111. Let y = -106/3 - -35. Sort 2/9, -2, y, d in decreasing order.
2/9, y, -2, d
Let f = 29848 + -29843. Let k = 31 + -88. Put -4, f, k in decreasing order.
f, -4, k
Suppose -3*j = -4*j + 5*a + 9, a = 3*j + 1. Let l be (1/(-2))/(j*(-1)/(-2)). Let o be (2/(-7))/(7/(-49)). Put l, 9, o in decreasing order.
9, o, l
Let w = -2.03272 + 0.03272. Sort -16, w, -3, -1/21 in descending order.
-1/21, w, -3, -16
Let p = 4.98 - 5. Let n = 332 - 329. Suppose -3*t = n - 0. Put t, p, 5, 0.3 in increasing order.
t, p, 0.3, 5
Let u = -37179 - -37179. Suppose 5*q = 2*s - 16, -5*s - 4*q + 6 = -34. Suppose f + 3*y + 3 = -s, 2*f = 2*y + 18. Put 3, f, -1, u in descending order.
f, 3, u, -1
Let g be (((-627)/(-6))/19)/(2/4). Let v be g/(55/(-15)) + 6. Put -26, -3, v in descending order.
v, -3, -26
Let r(f) = f**2 - 9*f + 8. Let c be r(8). Suppose 0 = 4*q - 4*l + 12, -13*q - 4*l + 21 = -8*q. Put -1, c, q in descending order.
q, c, -1
Let v = 9 - 1. Let m = v + -6. Let l(f) = 10*f - 133. Let w be l(13). Sort m, -5, w, 4.
-5, w, m, 4
Let n be -2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
nd w to the nearest integer.
-9
Let h = -1437276137.00000009 + 1437276120. Let b = 17 + h. Round b to 7 dps.
-0.0000001
Suppose -2*h - 18 = -5*v - 0*h, 22 = 5*v + 2*h. Suppose 4*l = 4*o + 2*l + 21599994, -4*o + v*l - 21599988 = 0. Round o to the nearest one million.
-5000000
Let q = -22 - -22.09. Let o = q + -0.09056. Round o to 4 dps.
-0.0006
Let g = -1169.27301 + 1167.27301012. Let j = g + 2. Round j to seven dps.
0.0000001
Let f = -23.12 - -27.108. Let y = -4 + f. What is y rounded to 2 dps?
-0.01
Let x(s) = 12*s**3 + 1. Let l be x(-1). Let c = l + 8. Let d be (-2600)/6*(c + 183). What is d rounded to the nearest 10000?
-80000
Let g = -1500 + 1501.8976. Let u = 1.9 - g. What is u rounded to 3 dps?
0.002
Let h(f) = -f**3 + f**2 + f + 4100000. Let u be h(0). Round u to the nearest 1000000.
4000000
Suppose 3*t = -4*y + 10499992, 4*y - 13999992 = 2*t - 6*t. What is t rounded to the nearest 1000000?
4000000
Let j(b) = -2462*b**2. Let g(a) = 7575574*a**2. Let o(k) = -6*g(k) - 18465*j(k). Let p be o(1). Let q = p - 986. What is q rounded to the nearest one thousand?
6000
Let m = 0.6 - 1. Round m to one decimal place.
-0.4
Let v(u) = 70599989*u - 11. Let t be v(-1). Round t to the nearest one million.
-71000000
Let w = 53.92 - 57. Let c = w + 4.3. What is c rounded to one decimal place?
1.2
Let i(a) = 31505*a**2 + 3*a - 1. Let d be i(2). Suppose -309236 = 4*q + 4*c + 194744, -q + 5*c - d = 0. What is q rounded to the nearest 10000?
-130000
Let y = 722 - 3022. Round y to the nearest one thousand.
-2000
Let b = 469369 + -243195. Suppose -49841 = -3*t - 3*o + b, 5*o = -2*t + 184025. What is t rounded to the nearest ten thousand?
90000
Let f be (-5 + 7)/(2/1). Let t be (19 + 0)/(f/(-1)). Let m = t - -959. Round m to the nearest one hundred.
900
Let m(i) = -5 - 7*i + 8*i + 12*i**3 + 2*i**2 + 2*i**2. Let r be m(-5). What is r rounded to the nearest 100?
-1400
Let j = 37 + -35.16. What is j rounded to one dp?
1.8
Let t(a) be the first derivative of -57*a**2 + 1. Let l be t(-1). Let h be (-4)/(-18) - l/27. Round h to the nearest ten.
0
Let n = 13.65 - 8.4. Round n to zero dps.
5
Let c = -341911 + 341613.843. Let v = -297 - c. What is v rounded to 2 dps?
0.16
Suppose 0 = 2*t + j + 512513 + 109486, 4*j + 621996 = -2*t. What is t rounded to the nearest one hundred thousand?
-300000
Let s = -0.1 + 0.3. Let h = 0.5 - s. Let q = h - 0.29875. What is q rounded to 4 dps?
0.0013
Let t = 1 - 1.000002. Let x = 0 + t. Round x to 6 decimal places.
-0.000002
Let c = 0.82 + -0.205. What is c rounded to 1 dp?
0.6
Let i = -6 + 12. Let a = i - 5.65. Let p = a - 5.15. Round p to 0 dps.
-5
Suppose -3*j - j = -4. Let c be -5899998 + j*(-2 - 0). Round c to the nearest one million.
-6000000
Let w = -30 - -30.00002. What is w rounded to five decimal places?
0.00002
Let z be 10/(-1)*((-196)/(-20) - 3). What is z rounded to the nearest ten?
-70
Let w = -19.00116 + 19. Round w to four dps.
-0.0012
Suppose -d = -4*d + 5*w + 6, 43 = 4*d + 5*w. Let i(o) = -677*o**2 - 7*o - 3. Let x be i(d). Let u = x - -14225. What is u rounded to the nearest ten thousand?
-20000
Let b(m) = 549*m**3 - 2*m**2 + 1. Let k be b(-1). What is k rounded to the nearest one hundred?
-600
Suppose -400376 = -5*h + 981284. Suppose 3*i = 4*g + h - 6340, 3*i = 2*g + 269996. Round i to the nearest 100000.
100000
Let i = -9.8 + 13. Let r = 2 - i. Let m = r - -1.1993. What is m rounded to 4 dps?
-0.0007
Let f = 51828.5 + -51821.500022. Let t = -1.2 - 5.8. Let j = t + f. Round j to 5 decimal places.
-0.00002
Let g = -219.7 - -192. Round g to the nearest integer.
-28
Let w = -13010313.299912 - -13009321.3. Let c = -992.2 - w. Let t = c - -0.2. What is t rounded to 5 dps?
-0.00009
Let a = -38.26 - -52.7. Let z = a - 15.7. What is z rounded to 1 dp?
-1.3
Suppose 22800016 = -4*p + 4*k, -3*p - 8*k - 17099984 = -4*k. What is p rounded to the nearest 1000000?
-6000000
Let t = 236 + -236.107. Round t to two dps.
-0.11
Suppose -g = -5*g - 104. Round g to the nearest 10.
-30
Let t = 363 + -511. What is t rounded to the nearest 100?
-100
Let c = -7 - -5.8. Let q = 240714 + -240712.800028. Let r = q + c. Round r to five decimal places.
-0.00003
Suppose -b = 4*h + 210, -2*h = 5*b - 0*h + 1140. What is b rounded to the nearest 100?
-200
Suppose -3*a + r = -3*r + 25188, 0 = 4*a + 2*r + 33606. What is a rounded to the nearest one thousand?
-8000
Let h = -0.158 - -0.085. Let s = h + -8.027. What is s rounded to the nearest integer?
-8
Suppose 4*o + 3*k + 0*k + 3 = 0, 4*k + 26 = 2*o. Suppose 0 = -3*f + 15, 0*a + o*f - 535 = -2*a. Round a to the nearest 100.
300
Suppose 4*y + 0 - 20 = 0. Suppose 0 = y*n - 4*n + 7900000. What is n rounded to the nearest one million?
-8000000
Let z = -1.67 + 1.6700496. Round z to 6 decimal places.
0.00005
Let n = -14.4 - 0.6. Let a = -22.80133511 + 7.8013354. Let k = a - n. What is k rounded to 7 dps?
0.0000003
Let x = 4043500
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 - 333*y.
-588*y
Find the second derivative of 584*p**4 - 2*p**3 + 3*p + 10 wrt p.
7008*p**2 - 12*p
What is the third derivative of -13*t**6 + 250*t**3 + 3*t**2 - 146 wrt t?
-1560*t**3 + 1500
What is the derivative of 336*x*y - 1279*y wrt x?
336*y
Differentiate -67*s - 58 wrt s.
-67
Find the third derivative of 1828*y**6 + 5*y**2 + 19*y wrt y.
219360*y**3
What is the first derivative of -13*j**3*l**2 - j*l**3 + j - 447*l**3 wrt j?
-39*j**2*l**2 - l**3 + 1
Find the second derivative of -3*a**3*k**3 + 11*a**3 + 2*a*k**3 - 38*k**3 - k + 11 wrt k.
-18*a**3*k + 12*a*k - 228*k
What is the derivative of -12604*r**2 - 11770 wrt r?
-25208*r
Find the first derivative of a**2 + 221*a + 550.
2*a + 221
Differentiate 379*g**2*k**2 + 5*k**2 - 4 wrt g.
758*g*k**2
Find the third derivative of 203*l**3 - 1207*l**2 wrt l.
1218
Differentiate -6*c**3*g + 90*c**2*g*n + 2*c**2*n + 10*g*n - 29*n wrt c.
-18*c**2*g + 180*c*g*n + 4*c*n
What is the second derivative of 5529*j**4 + 7934*j?
66348*j**2
Find the second derivative of 20*a*i**5 + a*i**2 + a*i + 2*i**5 + 3*i + 3 wrt i.
400*a*i**3 + 2*a + 40*i**3
What is the third derivative of 215*f**6*k + 17*f**6 - f**2*k - f**2 - 6*f*k - 23 wrt f?
25800*f**3*k + 2040*f**3
What is the first derivative of 4*i**4 - 537*i**2 + 824?
16*i**3 - 1074*i
Find the second derivative of -164*b**2 - 10*b - 13.
-328
Find the third derivative of 51*x**6 - 18*x**2.
6120*x**3
Find the third derivative of 389*c**3*h*v**3 - c**3*h + 4*c**2*v**3 + 38*c*h*v**3 - c*h*v**2 + 2*c*v wrt c.
2334*h*v**3 - 6*h
Find the second derivative of 76*g**2*v**2 - 80*g**2 - 4*v wrt v.
152*g**2
What is the second derivative of 11*a**2*y - 88*a**2 + 4219*a*y wrt a?
22*y - 176
What is the first derivative of 2*i**3*q*x + 2*i**3*q + i**2 - 2*i*q*x - 4*i*x - q*x**2 - q wrt x?
2*i**3*q - 2*i*q - 4*i - 2*q*x
What is the first derivative of 550*y**4 - 4847?
2200*y**3
What is the derivative of c**3*h*i**3 + 2*c**3*i**2 + c**2*h + 970*c*h*i + 163*c*i**3 + 10*c wrt h?
c**3*i**3 + c**2 + 970*c*i
What is the derivative of 7*c**3*v**2*z - 4*c**3*v*z - 3*c**3*z + c**3 + 6*c - 2*v*z wrt v?
14*c**3*v*z - 4*c**3*z - 2*z
What is the second derivative of 13709*b**2*g + 208*b*g - 7*b - 2*g + 3 wrt b?
27418*g
What is the first derivative of -41*h**3 - 2*h - 209?
-123*h**2 - 2
What is the second derivative of 417*j**3 + 10*j - 11?
2502*j
What is the second derivative of -879*x**5 - x**2*y + 64*x*y + 29*y - 2 wrt x?
-17580*x**3 - 2*y
Find the third derivative of 26*a**3*f*i**3 - 2*a**3*f - a**3*i**2 - 237*a**2*f**2*i**3 - 13*f**2*i**2 - f**2*i wrt i.
156*a**3*f - 1422*a**2*f**2
Find the second derivative of -343*x**4 - x - 177.
-4116*x**2
Find the second derivative of 5239*d**2 + 5729*d.
10478
What is the third derivative of -13431*g**3 + 3332*g**2 + 2?
-80586
Find the first derivative of 163*o + 34.
163
What is the second derivative of -1947*z**4 - 1865*z?
-23364*z**2
What is the third derivative of 12780*h*x**6 - 20*h*x - 4*h + x**2 + 1 wrt x?
1533600*h*x**3
What is the second derivative of h**4*y**2 - 102*h**2*y**2 + 4*h**2 + 8*h*y**2 + h*y - 2*y**2 wrt h?
12*h**2*y**2 - 204*y**2 + 8
What is the first derivative of -481*h**4 - 2*h + 3431 wrt h?
-1924*h**3 - 2
What is the first derivative of 109*d**4 + 358?
436*d**3
Find the second derivative of -10367*l**3 + 2*l**2 + 23*l + 76.
-62202*l + 4
What is the first derivative of -58*d*j*v**2 + 97*d*j*v - 24*d*v**2 - 45*d*v wrt j?
-58*d*v**2 + 97*d*v
Find the third derivative of 1048*v**5 + 694*v**2 wrt v.
62880*v**2
What is the third derivative of -3*p**3*q**3 - 4*p**3*q**2 - 218*p*q**3 + 3*q**2 wrt q?
-18*p**3 - 1308*p
Find the second derivative of -3781*r**4 + 2*r**2*x + 6171*r*x - 2*r wrt r.
-45372*r**2 + 4*x
Find the third derivative of u**4 - 13*u**3 - 40*u**2 + 9.
24*u - 78
What is the third derivative of -68*d**3*y**3 + 3286*d**3*y**2 - d**3 - 9*d**2*y**3 - d - y**3 wrt y?
-408*d**3 - 54*d**2 - 6
What is the second derivative of 22*i**2*j**3*t**2 + 3*i**2*j**2 - i*j**3*t**2 + 34*i*j**3 - j**3*t**2 wrt i?
44*j**3*t**2 + 6*j**2
Find the second derivative of -3*p**2*q**2*r**2 - 2*p**2*q*r**3 - 8*p**2*q*r - 32*q**2*r**3 - 6*r**2 wrt q.
-6*p**2*r**2 - 64*r**3
Find the third derivative of -20*j**3*s**4 - 3855*j**3*s
|
{
"pile_set_name": "DM Mathematics"
}
|
s the remainder when 9 is divided by x?
3
Let k be -2 + 7*4 + 3. Let s = 59 - k. Calculate the remainder when s is divided by 16.
14
Suppose -5*z = f - 3*z - 20, -3*f - 3*z + 45 = 0. Let d(h) = -h**3 - 7*h**2 - h + 5. Calculate the remainder when (-5 + -2)/((-2)/f) is divided by d(-7).
11
Suppose 0 = 3*u + 2*u - 350. Suppose i + u = 6*i. Calculate the remainder when 40 is divided by i.
12
Let i(v) = 3*v**2 - 28*v + 15. Calculate the remainder when i(11) is divided by 28*((-26)/(-14) - 1).
22
Let b = 40 + -24. Let n be 15/3 + 1 + -1. Suppose -n*r + 0*r + 154 = l, 3*r = 5*l + 98. What is the remainder when r is divided by b?
15
Suppose 4 = 3*c + 3*g - 8*g, -c + 3*g = 0. Suppose c*i = 2*i - 3. Calculate the remainder when 58 is divided by (i/(-2))/(3/40).
18
Suppose 2*u + 2*o + 12 = 5*u, 0 = 2*u + o - 15. Suppose 0*g + u = 2*g. Suppose -25 = -g*m + 35. What is the remainder when 58 is divided by m?
18
Suppose -d = -5*i - 21, 5*d - 123 = 4*i - 18. Calculate the remainder when 227 is divided by d.
17
Let y = -24 - -29. Suppose 2*z - 4 = 2. Suppose z + 42 = 5*t. What is the remainder when t is divided by y?
4
Let h(u) = -4*u - 1. Suppose 3*c + 5*a - 58 = 0, -a + 10 = a. Calculate the remainder when c is divided by h(-1).
2
Suppose -r - r - 2*j = -14, 0 = -5*j - 15. What is the remainder when r is divided by 4?
2
Let b = 71 - 26. What is the remainder when 177 is divided by b?
42
Suppose 5 + 1 = 2*g, -3*y + g + 108 = 0. Calculate the remainder when y is divided by 8.
5
Let s(g) = -g**2 - 10*g + 14. Suppose 5*u = d - 6*d - 10, 4*d = 5*u - 26. What is the remainder when s(-11) is divided by u?
1
Suppose 0 = -8*o + 11*o - 120. Calculate the remainder when o is divided by 14.
12
Let n(z) = z**3 + z + 12. What is the remainder when n(0) is divided by 5?
2
Suppose -2*l = -4*n + 4934, -n - n - 5*l + 2485 = 0. What is the remainder when 47 is divided by n/78 - (-2)/12?
15
Suppose -4*u + 24 = 4, u = m - 47. Calculate the remainder when m is divided by 18.
16
Let k(g) be the second derivative of g**5/20 + 3*g**4/4 + g**3 - 11*g**2/2 - g. Let n be k(-8). Let m = 8 - n. What is the remainder when m is divided by 2?
1
Let r(j) = -2*j**2 - 11*j - 7. Calculate the remainder when 29 is divided by r(-4).
4
Suppose -5*r - 3*k = -25, -3*r - 9 = -0*r - 3*k. Suppose r*y - 65 = -3*y. Let i = -91 + 129. What is the remainder when i is divided by y?
12
Let y(z) = 2*z**2 - 9*z + 1. What is the remainder when y(6) is divided by 10?
9
Let y(z) = -z**2 - 16*z - 38. Let p(u) = -u**3 - 9*u**2 - 9*u - 8. Let x be p(-8). Suppose 2*o = -x*o + 98. What is the remainder when o is divided by y(-5)?
15
Suppose 0*y + 4*y + 4 = 0, 5*t + 2*y = 83. Calculate the remainder when 67 is divided by t.
16
Suppose -h = 3*h + 3*k - 34, 2*h - 3*k - 26 = 0. Suppose -4*d + 39 + 69 = 0. Calculate the remainder when d is divided by h.
7
Suppose 0 = -3*k + 794 - 218. Suppose -6*d = -10*d + k. What is the remainder when d is divided by 10?
8
Let u = 5 + -5. Suppose -b + 3 = -u*b. Suppose -b - 37 = -4*c. Calculate the remainder when 18 is divided by c.
8
Let u(w) = -4*w - 3. Suppose 5*f = 8 - 28. Let g be u(f). Suppose 77 = 5*s + 2*p, 61 + g = 5*s - p. What is the remainder when 29 is divided by s?
14
Suppose -z - 24 = -3*z. Calculate the remainder when 34/(-3 + 44/z) is divided by 13.
12
Suppose 182*x - 65 = 177*x. What is the remainder when 74 is divided by x?
9
Let b = 16 + -16. Suppose b = 5*w - 21 - 9. Calculate the remainder when 16 is divided by w.
4
Let x = -50 - -56. What is the remainder when 47 is divided by x?
5
Suppose 3*u + 2 = -5*p - 0*u, p - 14 = 3*u. What is the remainder when 28 + p + 0 + 3 is divided by 9?
6
Let v = 207 + -144. What is the remainder when v is divided by 17?
12
Let t(y) = -y - 3. Calculate the remainder when (-25 - -1)*(-5)/10 is divided by t(-8).
2
Suppose -4*s - 3*w - 2*w = -42, 4*s = -3*w + 38. Calculate the remainder when 31 is divided by s.
7
Suppose 0 = 3*u - 9 - 75. Suppose 3*k = -4*c + 43, -3*k + 1 = -2. Calculate the remainder when u is divided by c.
8
Let i be (-6)/(-15) + 6/(-15). Suppose 1 = -u + b, 3*b - 11 = u - i*u. What is the remainder when 7 is divided by u?
3
Let y(n) = 5*n**2 - 4*n. Calculate the remainder when 109 is divided by y(-2).
25
Suppose 3*v + 220 = 8*v. Suppose 2*q = 4*q - v. Calculate the remainder when q is divided by 12.
10
Let g(m) = m**3 + 7*m**2 - 20*m - 8. Calculate the remainder when g(-9) is divided by 1.
0
Let d(w) = w**3 + 6*w**2 - 8*w - 7. Let g be d(-6). What is the remainder when g*(6/2 + -1) is divided by 21?
19
Let x = -12 - 3. Let w be ((-6)/(-4))/(x/1120). What is the remainder when 27 is divided by (-3)/2*w/12?
13
Suppose 0*s + 4*g + 149 = 3*s, -3*g + 232 = 4*s. Calculate the remainder when s is divided by 12.
7
Let t(v) = v**3 - 3*v + 2. Let i = 13 - 10. Calculate the remainder when t(i) is divided by 7.
6
Suppose -9*z - 266 = -16*z. What is the remainder when z is divided by 23?
15
Let q be 16*-2*4/(-16). Suppose -4*n - 24 = -q*n. What is the remainder when 11 is divided by n?
5
Suppose -2*r + 4*r - 188 = 0. Calculate the remainder when r is divided by 19.
18
Let y(z) = z**2 - 18*z + 33. Calculate the remainder when y(17) is divided by 10.
6
Suppose 5*d - 194 = -3*f - f, -2*f = 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
1324300*q**3 - 2
Find the second derivative of -1229*x*z**3 + 2*x*z**2 + 620616*x*z - 2*x + 308*z**5 + 11*z wrt z.
-7374*x*z + 4*x + 6160*z**3
Find the third derivative of -63408510*m**6 - 84283783*m**2 wrt m.
-7609021200*m**3
What is the third derivative of 138953838*g**2*m**4 - g**2*m**2 + 19795*g**2*m + 10*g*m**2 + 9*g*m wrt m?
3334892112*g**2*m
Find the second derivative of -14320930*b**3 - 130*b + 41657.
-85925580*b
What is the first derivative of -9870861*v**2 + 6197528?
-19741722*v
What is the third derivative of 31191555*v**6 - 37656143*v**2?
3742986600*v**3
What is the derivative of -481901715*w**2 - 571982014 wrt w?
-963803430*w
What is the second derivative of -42*q*r**3 + 1462*q*r**2 + 13*q*r - 1019*q + 5*r**3 - 4 wrt r?
-252*q*r + 2924*q + 30*r
What is the second derivative of 28*k*u**2*x - 13*k*u**2 - k*u + 2*k*x - 2288*k + 964*u**2*x - 2*u**2 + u*x - 41*u wrt u?
56*k*x - 26*k + 1928*x - 4
What is the third derivative of 52722*k**4 - 30*k**3 - 14402356*k**2?
1265328*k - 180
What is the third derivative of -12454*m**5 + 4*m**4 - m**3 - 522035*m**2 + m wrt m?
-747240*m**2 + 96*m - 6
Find the third derivative of -7*d*t*x**3 - d*t*x**2 - 2*d*x**3 + 2*d*x**2 + 422*t*x**3 + 1143*t*x - 135*x**3 - 16*x**2 + 2 wrt x.
-42*d*t - 12*d + 2532*t - 810
Differentiate h**4 - 21*h**3 + 8641*h - 16422331 wrt h.
4*h**3 - 63*h**2 + 8641
Find the second derivative of -432230*b**4 + 32*b**2*d**2 + 132*b*d**2 + 11*b*d + b + 39*d**2 - d + 11 wrt b.
-5186760*b**2 + 64*d**2
Find the third derivative of -156945788*p**4*t**3 - 3*p**2*t**3 + 18*p**2*t**2 + 41*p - 93*t**2 - 2 wrt p.
-3766698912*p*t**3
Find the second derivative of 135*b**3*q**2 - 34745*b**2*q**2*v**3 - 15*b*q**2*v + 135*b*v**3 - 5*q**2*v**3 + 21*q**2*v**2 - q**2*v wrt b.
810*b*q**2 - 69490*q**2*v**3
What is the second derivative of 6*n**3 + 5762284*n**2 + 73701233*n?
36*n + 11524568
Find the second derivative of -3111*u**4 + 118*u**3 - 7*u**2 + 33409492*u wrt u.
-37332*u**2 + 708*u - 14
What is the third derivative of 74601707*i**6 - i**2 - 2037179 wrt i?
8952204840*i**3
Differentiate -7399*g*t**2*x + g*t - 712*g*x**2 + 281*t**2*x**2 + 19*t**2*x + t**2 + t*x**2 + 876*t*x - x**2 with respect to g.
-7399*t**2*x + t - 712*x**2
What is the third derivative of -26*b*d**3*h + 70*b*d**3 + 3*b*d**2*h - 2*b*d*h + 2*b*h + 13*d**3*h + 334*d**3 + 2*d*h + 9638*d + 8 wrt d?
-156*b*h + 420*b + 78*h + 2004
Find the third derivative of -29844*g**2*h**3 - 3*g**2*h**2 - 119*g*h**3 - 3264*g + 125*h**2 wrt h.
-179064*g**2 - 714*g
Find the first derivative of 451460636*a**2 + 152622163.
902921272*a
What is the derivative of -149775587*n + 84448268 wrt n?
-149775587
What is the third derivative of 287880192*g**3 - 22237234*g**2?
1727281152
What is the third derivative of -5340*p**3*t**2 + 601*p**3*t - p**3 - p**2*t + 757*p**2 + 52*t**2 - 7*t wrt p?
-32040*t**2 + 3606*t - 6
What is the second derivative of -123*a*m**3*o**2 - 3372*a*m**2*o**3 - 46371*a*m + 4*m*o**3 + 3*m wrt m?
-738*a*m*o**2 - 6744*a*o**3
Differentiate 8953177*h**3 + 5*h**2 + 3005884 with respect to h.
26859531*h**2 + 10*h
What is the second derivative of 114404615*s**2 + 61198404*s - 2 wrt s?
228809230
What is the third derivative of -12337986*g**3 + 4344635*g**2?
-74027916
What is the derivative of 889*c*d**2*j + 281*c*d*j + 11*c*j - 332800*c + 5*d**2*j + 1 wrt d?
1778*c*d*j + 281*c*j + 10*d*j
Find the second derivative of -82509*f**4 + 63*f**3 - 38*f + 24423.
-990108*f**2 + 378*f
Find the third derivative of 211760*f**4*s**3 - 109*f**4*s - 93*f**2 - 2*f*s**3 - 36*s**3 - 4*s**2 + 138*s + 2 wrt f.
5082240*f*s**3 - 2616*f*s
Differentiate -7810629*j + 5726603 wrt j.
-7810629
What is the second derivative of 905453194*g**2 - 691429*g - 45 wrt g?
1810906388
Find the third derivative of -32146193*p**3 + 18007*p**2 + 2715.
-192877158
Find the first derivative of 2*j**2*q**2 + 41834749*j**2*q + 3*q**2 + 1196593 wrt j.
4*j*q**2 + 83669498*j*q
What is the derivative of -14600*s**2 + 633*s - 4425325 wrt s?
-29200*s + 633
What is the third derivative of -1126749*q**4 + 253587*q**2 + 17*q - 1?
-27041976*q
Find the second derivative of 258069*r**3 - 577*r**2 - 2*r - 100910603.
1548414*r - 1154
What is the third derivative of -759663900*w**5 + 986059816*w**2 wrt w?
-45579834000
|
{
"pile_set_name": "DM Mathematics"
}
|
Let p = -1 + -17. Let o = 22 + p. Calculate the lowest common multiple of c and o.
20
Let y = -1825 + 2121. Calculate the smallest common multiple of y and 88.
3256
Find the common denominator of (-8398)/715 - -13 - (6/(-4))/(-3) and -43/198.
990
Let p = 6 - 4. Suppose -p*u + d + 52 = 0, 0 = -5*d - 0*d - 20. Let j(v) = -v**2 - 8*v + 23. Calculate the least common multiple of j(-10) and u.
24
Suppose -2*m = 2*z - 450, 0 = -8*z + 4*z - 5*m + 905. What is the common denominator of (27/(-240))/(30/(-50)) and 982/z + 16/40?
176
Let r = 14750 + -398317/27. What is the common denominator of r and -46/55?
1485
What is the common denominator of 47/405 and -226*1/(-150) - (-9 - (-8 - 2))?
2025
What is the common denominator of 45/91 and 441/98 - (-677)/(-156)?
1092
Let w(d) = -3*d**2 - 31*d + 396. What is the lowest common multiple of w(0) and 924?
2772
What is the least common multiple of 3 and 34/(-68)*(-3672)/4?
459
Let a(t) = -t**2 - 4*t + 21. Let b be a(3). Suppose b = 7*x + 19 - 145. What is the smallest common multiple of x and 3?
18
Let f(b) = -12*b**2 + b + 2. Let y be f(4). What is the common denominator of 112/64*(-270)/140 and (y/(-72))/(8/6)?
16
Suppose 3*u - 4*h - 89 = -55, -52 = -2*u - h. What is the lowest common multiple of u and 370?
4070
What is the common denominator of 2229358/203680 + 2 + -13 and 37/1900?
7600
Suppose 15 + 16 = 5*p + 2*w, -3*p + 30 = 5*w. Let n(g) = g**2 + g + 50. Calculate the lowest common multiple of n(p) and 20.
80
Let f(q) = 8*q + q + 56 - 12*q. What is the lowest common multiple of f(0) and 8/1 - (1 + -1)?
56
Let z(k) = -5*k + 45. Let f be z(6). Suppose 3*m - 11*m = -1392. Find the common denominator of -31/8 and (m/15)/(-3*(-21)/f).
168
Find the common denominator of (-3)/(-4) - (-6 + (-27433)/(-3780)) and -23/120.
1080
Let n = 15708049493006/33705 - 466045082. Let f = n + 4/1605. What is the common denominator of 19/7 and f?
63
Let o = -2446 - -3739. Calculate the least common multiple of 1724 and o.
5172
Suppose -6*q = 4939 - 6079. What is the least common multiple of q and 18?
1710
Let o = -359209667/1104 + 325371. Find the common denominator of -107/864 and o.
19872
Let f(t) be the second derivative of 1/20*t**5 - 1/12*t**4 - 5/6*t**3 - 6*t**2 - 12*t + 0. Calculate the smallest common multiple of 6 and f(4).
48
Let d(i) = 37*i + 82. Let u be d(7). What is the common denominator of (3/(-117))/((-11)/u) and -58/9?
117
Let p = 3568 - 3466. Calculate the smallest common multiple of p and 1275.
2550
Let r(l) = l**2 + 38*l - 83. Let h be r(-40). Calculate the common denominator of -6/7 and 9/h - (1 - 662/182).
91
Let j = -532 + 535. Suppose y - 3*c = 26, -j*y + 3*c - c = -43. Calculate the lowest common multiple of 10 and y.
110
Let r = 26 + -24. What is the lowest common multiple of (0 - 12)*-6 - (7 - 60 - -47) and r?
78
Find the common denominator of 4/85 and ((-1)/(-1000))/((-47)/(-2491)).
17000
Let n = 477/19 - 1198509/47728. What is the common denominator of 99/16 and n?
2512
Let q = 379890/17 - 9441541/425. Let p be (-10629)/81 + (-2)/(-9). Let o = q + p. Calculate the common denominator of o and -56/11.
275
Calculate the lowest common multiple of 49 and (-4 - 5/(-1))/((42/(-7))/(-1722)).
2009
Suppose 3*w = -2*w - 4*a - 10, a + 1 = -2*w. Let p = 31 + -19. Calculate the least common multiple of p and w.
12
Let p be (7572081/880)/((-27)/132). Let y = p - -42064. What is the common denominator of y and 59/24?
120
Let j(i) = -9*i**2 + 30*i + 1. Calculate the smallest common multiple of 204 and j(3).
1020
Calculate the common denominator of (-34 - -25) + 7775/910 and 85/1404.
9828
Suppose 897 = n + 4*p, 25*n - 3*p - 1717 = 23*n. What is the least common multiple of 1896 and n?
20856
Suppose -g = -3*l - 31 - 10, 2*l = -3*g - 9. Suppose 65*p + 56*p + 242 = 0. Find the common denominator of -11/9 and 1 - 279/l*p/45.
90
Calculate the common denominator of 163/30 and -3 - 5/((-140)/181).
420
Let b = 83722/13 - 6434. Let q = 1269/52 - b. Calculate the common denominator of q and 13/40.
40
Let v(y) = 199*y + 95. Let l be v(-7). Let j = -5165/4 - l. Suppose -2*p - 35 = n, -2*p - 35 = -p - 3*n. Calculate the common denominator of j and p.
4
Let b be (-3 - 2/2 - -4)/1. Suppose 44 = 4*g - 28*s + 24*s, b = -5*g + 4*s + 53. Calculate the least common multiple of (1*2)/((-2)/(-11)) and g.
99
Let t = -233 - -66. Calculate the common denominator of 121/20 and (t - (-4 + 3))*(-12)/480.
20
Let j = -782 + 854. What is the least common multiple of 12 and j?
72
Let v(o) = 2*o**2 + 39*o - 6035. Calculate the least common multiple of v(53) and 1200.
13200
Let r(x) = -69*x**2 + 13*x + 12. Let v be r(-3). Let c = 649 + v. What is the lowest common multiple of 3 and c?
3
Let t = 17009 - 918415/54. Calculate the common denominator of -13/522 and t.
1566
Let x = 4135/4 + -22705/22. Let z = 1890 + -60481/32. Calculate the common denominator of z and x.
352
Suppose 3*t = 2*g - 4*g - 700, 930 = -4*t - g. What is the common denominator of ((-1)/(-5))/((-44)/(-305)) and 8 - t/(-32)*1?
44
What is the lowest common multiple of 1*4259*1 - (198/(-3) - -71) and 16?
34032
Suppose -2*p - 6*x + 2*x = 4, -4*p + 7 = 3*x. Let u be 8015441/418 - p/38. Let v = u + -19179. What is the common denominator of -39/2 and v?
22
Let i = 18 + -433/20. What is the common denominator of 182/(-48) + -2 - -2 and i?
120
Let r = 1233635 - 419429217/340. Let l = r - -8/
|
{
"pile_set_name": "DM Mathematics"
}
|
the third smallest value? (a) -1 (b) 3/20 (c) 5 (d) -5
b
What is the biggest value in -0.4, -0.08, 3, -2/15?
3
What is the smallest value in -0.4, 2/7, -4, 2/9?
-4
Which is the biggest value? (a) -1 (b) 2 (c) -5/2 (d) 20.4
d
What is the biggest value in -0.2, 20, 0.4, -0.3?
20
What is the smallest value in -0.1, -0.7, 196, 0.3, -0.4?
-0.7
Which is the biggest value? (a) 3 (b) -30.8 (c) 18/11
a
What is the third smallest value in 0, -2/5, -1/3, 2/25?
0
Which is the second smallest value? (a) -5.1 (b) 0 (c) 1/5
b
Which is the fifth smallest value? (a) 1/2 (b) -0.4 (c) 5 (d) -0.5 (e) -41.4
c
Which is the third biggest value? (a) -25 (b) 0.5 (c) -1/4 (d) 11
c
What is the third biggest value in 13, -1, 0, 1/5?
0
What is the second smallest value in 2/17, 1/4, -2/11, -3, 2?
-2/11
Which is the fourth biggest value? (a) 0.2 (b) -7 (c) -5 (d) 0.4
b
Which is the third smallest value? (a) -3/2 (b) 29 (c) 5
b
Which is the third biggest value? (a) 10 (b) 21 (c) -0.04
c
Which is the third smallest value? (a) -1/3 (b) -23 (c) 0.052 (d) 2/15
c
What is the fourth biggest value in 3, 4/7, 17, -2?
-2
What is the third biggest value in -547, -2, 0.4?
-547
Which is the fourth biggest value? (a) -0.1 (b) 2 (c) 15 (d) 3
a
Which is the second smallest value? (a) -0.3 (b) 6 (c) -7/13 (d) 0
a
Which is the fourth biggest value? (a) 4 (b) 281 (c) -4 (d) -2 (e) 1/7
d
Which is the fourth smallest value? (a) -4 (b) -0.5 (c) 8 (d) 3
c
What is the biggest value in 0.7, -4, 6/11, 3/7?
0.7
What is the third biggest value in 3, 1, 2136?
1
Which is the fourth biggest value? (a) -8/3 (b) -1/2 (c) -21 (d) -2
c
Which is the smallest value? (a) -20 (b) 0.1 (c) -317
c
Which is the smallest value? (a) 5 (b) -11.3 (c) 0.5 (d) -0.5 (e) 3
b
Which is the third smallest value? (a) -63 (b) 2/11 (c) 5 (d) -3 (e) -0.44
e
Which is the third smallest value? (a) -0.4 (b) 39/2 (c) -0.1
b
Which is the second biggest value? (a) -5 (b) -397 (c) 0
a
Which is the second smallest value? (a) -0.01 (b) -1/4 (c) -3/2 (d) -2 (e) -2/11
c
Which is the biggest value? (a) 13 (b) -2 (c) 1/94
a
What is the fifth biggest value in -1/3, -6/11, -0.1, 2, -9?
-9
What is the third biggest value in 13/271, 2, -0.1?
-0.1
Which is the smallest value? (a) -4/5 (b) -0.3 (c) 1/4 (d) 6
a
Which is the third smallest value? (a) -2/9 (b) -6 (c) 728
c
What is the third biggest value in -0.03, -1, -7, 0.4?
-1
What is the second smallest value in 0.4, 66, -3, -0.7?
-0.7
What is the smallest value in -0.3, -5/2, 6?
-5/2
Which is the third smallest value? (a) 1/894 (b) -0.5 (c) -0.1
a
Which is the fourth biggest value? (a) 0.2 (b) -0.09 (c) 5 (d) -1/4
d
What is the second smallest value in -2/11, -1/4, 0.18, -0.3?
-1/4
Which is the smallest value? (a) -2/7 (b) -0.081 (c) -2.4
c
Which is the smallest value? (a) -11 (b) -0.16 (c) 0
a
Which is the biggest value? (a) -0.3 (b) 0.4 (c) -3/7 (d) 16 (e) 0.1
d
Which is the third smallest value? (a) 11 (b) -2 (c) 1
a
What is the second smallest value in 0.5, -4/13, -2?
-4/13
Which is the second biggest value? (a) -2/19 (b) 2/11 (c) 2/5 (d) 1.6 (e) -2
c
What is the second smallest value in -0.4, 3, -1, -7?
-1
Which is the third biggest value? (a) 4 (b) 45/2 (c) 0.2
c
Which is the third smallest value? (a) 11.2 (b) 1 (c) 24
c
What is the smallest value in 2, 0.5, 4, -0.08?
-0.08
What is the second biggest value in -1, -2/15, -21/8?
-1
Which is the biggest value? (a) 0.5 (b) 4/5 (c) 7 (d) 1/3
c
What is the second biggest value in 4/7, 10, -0.8?
4/7
What is the smallest value in -0.3, -41/2, -0.2, -1?
-41/2
Which is the biggest value? (a) -6/13 (b) 7 (c) -33
b
What is the third biggest value in -2, -0.4, -2/43, 0?
-0.4
What is the smallest value in -1, -6, 82?
-6
What is the biggest value in -2, 0.3, -1/3, -1/4?
0.3
Which is the third smallest value? (a) -2/5 (b) 3 (c) -0.16
b
What is the third smallest value in -1/3, -18, -4?
-1/3
Which is the biggest value? (a) -18 (b) -2 (c) -3
b
What is the third smallest value in -1, 2/7, 53, 2, -2/7?
2/7
What is the fifth smallest value in 0.5, 1/3, -10, 13, 1?
13
Which is the smallest value? (a) -0.5 (b) 0.4 (c) 4 (d) 1/3
a
Which is the fourth biggest value? (a) -1 (b
|
{
"pile_set_name": "DM Mathematics"
}
|
e millions digit of 33168334?
3
What is the units digit of 123835?
5
What is the units digit of 2179973?
3
What is the ten thousands digit of 1856454?
5
What is the hundred thousands digit of 8359201?
3
What is the hundreds digit of 314021?
0
What is the thousands digit of 11413974?
3
What is the millions digit of 1332701?
1
What is the millions digit of 7016382?
7
What is the ten thousands digit of 3610822?
1
What is the ten thousands digit of 1824036?
2
What is the thousands digit of 665751?
5
What is the millions digit of 1525407?
1
What is the tens digit of 215610?
1
What is the tens digit of 1047349?
4
What is the tens digit of 145440?
4
What is the units digit of 11118491?
1
What is the hundred thousands digit of 4337034?
3
What is the ten thousands digit of 267095?
6
What is the units digit of 463904?
4
What is the thousands digit of 382417?
2
What is the thousands digit of 722195?
2
What is the ten thousands digit of 447040?
4
What is the thousands digit of 581903?
1
What is the hundreds digit of 423617?
6
What is the tens digit of 1252782?
8
What is the thousands digit of 224938?
4
What is the units digit of 20575?
5
What is the tens digit of 2901102?
0
What is the tens digit of 3932612?
1
What is the tens digit of 13171043?
4
What is the tens digit of 6101071?
7
What is the thousands digit of 166392?
6
What is the hundreds digit of 7409927?
9
What is the hundreds digit of 1518424?
4
What is the thousands digit of 15178?
5
What is the ten thousands digit of 198816?
9
What is the thousands digit of 97590?
7
What is the ten thousands digit of 394919?
9
What is the units digit of 2265926?
6
What is the units digit of 479105?
5
What is the hundreds digit of 24129160?
1
What is the hundred thousands digit of 629253?
6
What is the tens digit of 1718685?
8
What is the ten thousands digit of 631446?
3
What is the thousands digit of 336971?
6
What is the hundreds digit of 2409969?
9
What is the ten thousands digit of 2327525?
2
What is the tens digit of 221206?
0
What is the tens digit of 6383661?
6
What is the thousands digit of 24116715?
6
What is the ten thousands digit of 5478976?
7
What is the ten thousands digit of 21728580?
2
What is the tens digit of 3012615?
1
What is the hundreds digit of 2992875?
8
What is the units digit of 80230?
0
What is the hundreds digit of 1318798?
7
What is the tens digit of 6275642?
4
What is the hundred thousands digit of 20988930?
9
What is the ten thousands digit of 3077909?
7
What is the ten thousands digit of 6221203?
2
What is the hundreds digit of 111426?
4
What is the hundreds digit of 89694?
6
What is the tens digit of 25788840?
4
What is the units digit of 5250320?
0
What is the tens digit of 159832?
3
What is the units digit of 3270931?
1
What is the thousands digit of 1816281?
6
What is the hundred thousands digit of 1792740?
7
What is the hundreds digit of 35663864?
8
What is the millions digit of 1862350?
1
What is the hundred thousands digit of 3923013?
9
What is the units digit of 501835?
5
What is the tens digit of 12423088?
8
What is the ten thousands digit of 2228438?
2
What is the millions digit of 1224500?
1
What is the tens digit of 498514?
1
What is the hundred thousands digit of 3460565?
4
What is the thousands digit of 827936?
7
What is the units digit of 1412488?
8
What is the tens digit of 187438?
3
What is the millions digit of 1183361?
1
What is the tens digit of 5131400?
0
What is the ten thousands digit of 6406673?
0
What is the thousands digit of 143666?
3
What is the ten millions digit of 17414937?
1
What is the millions digit of 3568628?
3
What is the hundred thousands digit of 5383137?
3
What is the hundreds digit of 172327?
3
What is the ten thousands digit of 4986332?
8
What is the millions digit of 8371855?
8
What is the hundred thousands digit of 1214168?
2
What is the hundreds digit of 641108?
1
What is the units digit of 1282880?
0
What is the hundreds digit of 340810?
8
What is the millions digit of 6570000?
6
What is the thousands digit of 7074171?
4
What is the units digit of 29280996?
6
What is the thousands digit of 77693?
7
What is the ten thousands digit of 2301697?
0
What is the units digit of 1043841?
1
What is the units digit of 177863?
3
What is the units digit of 28829475?
5
What is the hundreds digit of 1075800?
8
What is the units digit of 9357?
7
What is the tens digit of 4488347?
4
What is the hundreds digit of 231802?
8
What is the ten thousands digit of 16799017?
9
What is the hundred thousands digit of 11485144?
4
What is the ten thousands digit of 343563?
4
What is the thousands digit of 49813?
9
What is the tens digit of 125325?
2
What is the millions digit of 9012265?
9
What is the units digit of 53001?
1
What is the ten thousands digit of 19275?
1
What is the hundreds digit of 2292239?
2
What is the hundreds digit of 1662840?
8
What is the tens digit of 1381146?
4
What is the thousands digit of 1041556?
1
What is the hundred thousands digit of 6857022?
8
What is the millions digit of 2001257?
2
What is the hundreds digit of 181317?
3
What is the millions digit of 22170358?
2
What is the ten thousands digit of 11769207?
6
What is the hundred thousands digit of 1484860?
4
What is the ten millions digit of 29869593?
2
What is the hundred thousands digit of 867104?
8
What is the tens digit of 529406?
0
What is the millions digit of 7617482?
7
What is the hundred thousands digit of 3196758?
1
What is the ten thousands digit of 2359501?
5
What is the ten thousands digit of 108151?
0
What is the hundred thousands digit of 729903?
7
What is the ten thousands digit of 2103254?
0
What is the hundred thousands digit of 471075?
4
What is the thousands digit of 1228298?
8
What is the tens digit of 81734?
3
What is the units digit of 4051611?
1
What is the ten millions digit of 16592611?
1
What is the units digit of 86358?
8
What is the ten thousands digit of 118271?
1
What is the units digit of 232052?
2
What is the ten thousands digit of 424465?
2
What is the units digit of 232275?
5
What is the thousands digit of 238720?
8
What is the units digit of 1401614?
4
What is the thousands digit of 535453?
5
What is the thousands digit of 2113?
2
What is the ten millions digit of 11557905?
1
What is the units digit of 21443572?
2
What is the thousands digit of 1755031?
5
What is the ten thousands digit of 3755516?
5
What is the tens digit of 5417735?
3
What is the hundreds digit of 110684?
6
What is the units digit of 338475?
|
{
"pile_set_name": "DM Mathematics"
}
|
= -6*g**3 - g**2 + 3*g + 2. Let u be k(-2). What are the prime factors of 75/(-2)*(-48)/u?
3, 5
Let o be ((-9)/15)/(2/10). What are the prime factors of 7 + (o + 2 - -1)?
7
Let n(a) = a**3 + a**2 - 2*a. Let t be n(2). Let k = t + -1. Suppose -4*b + 1 = -k. List the prime factors of b.
2
Suppose 2*d = 6 - 44. What are the prime factors of -1 - (-5 - -3) - d?
2, 5
Let c(h) be the first derivative of -h**5/60 + h**4/3 - h**3/3 - 3*h**2/2 + 2. Let i(o) be the second derivative of c(o). What are the prime factors of i(6)?
2, 5
Suppose 5*z + 5*s = 210, -2*z = 3*z - s - 228. What are the prime factors of z?
3, 5
Suppose 0*z + 6 = 3*z. Let y(d) = d**2 + 10 - 2*d**z + 2*d + 5*d. List the prime factors of y(7).
2, 5
What are the prime factors of 68 - 7 - (1 + 2)?
2, 29
What are the prime factors of (271 - -2) + (-45)/9?
2, 67
Let a = -4 + 6. Suppose 6*z + 8 = a*z. Let h = 8 - z. What are the prime factors of h?
2, 5
Let n(z) = z + 3. Let b be n(-6). Let q = 7 + b. List the prime factors of q.
2
Suppose w + 3*a = -4*w + 175, -4*w - a = -133. What are the prime factors of w?
2
Let m(i) = 3*i**2 - i - 1. Let p = 2 + -5. Let t be m(p). What are the prime factors of (-1)/(-3) + t/3?
2, 5
Suppose 2*t - 46 = -z - 3*z, -3*t = 5*z - 69. Let x = t + -10. List the prime factors of x.
13
Suppose -s - 3*s + 20 = 0. Suppose -m + 34 = s*h, m = 2*h - 0*h + 6. Suppose -m = -4*k + 2*a + 18, -5*a - 17 = -3*k. List the prime factors of k.
3
What are the prime factors of -2 + 2 + 3 - -9?
2, 3
Let n(t) = -t**3 - 6*t**2 + t + 8. Let j be n(-6). Suppose 3*p + 5 = 26. Suppose j*r - p = 3. What are the prime factors of r?
5
Let d(z) = -z**2 - 3*z + 3. Let p be d(-3). Let x = 12 - p. List the prime factors of x.
3
Let g(n) be the third derivative of n**5/60 - n**4/12 - n**3/6 + 12*n**2. Let b be (-19)/(-7) - (-4)/14. What are the prime factors of g(b)?
2
Suppose 2*t - 2*b - 241 = 277, -524 = -2*t + 4*b. List the prime factors of t.
2
Suppose 3*j - 10 = 20. Suppose -2*v + 7*v = j. Suppose -3*y - z - 4*z = -34, -v*y - 4*z = -24. List the prime factors of y.
2
Suppose 5*o + 35 = -3*c - 17, 0 = 3*o - 12. Let n be (0 + -1)*(-41 + -2). Let u = n + c. List the prime factors of u.
19
Suppose 3*w + 3*n + 50 = -n, -3*n = -w + 5. Let z(c) = c + 22. List the prime factors of z(w).
2, 3
Suppose 0*p + k - 7 = 3*p, 5*p - k + 9 = 0. Let t = p + 9. What are the prime factors of t?
2
Let g be ((-6)/4)/(1/2). Let h(j) = -6*j - 4. List the prime factors of h(g).
2, 7
Let g be 676*((-9)/6 - -1). Let r = 478 + g. What are the prime factors of r/16 + (-2)/(-8)?
3
Suppose 0 = 2*x + 5*b - 0 + 3, -10 = 2*b. List the prime factors of x.
11
Let g = 20 - -16. What are the prime factors of g?
2, 3
Suppose o + 8 = -5*t - 4, 5*o + 5*t = -40. Let h(a) = -4*a - 4. What are the prime factors of h(o)?
2, 3
Let m(n) be the second derivative of n**3/2 - n**2 + 2*n. What are the prime factors of m(3)?
7
Suppose 2*r + 3*r + h = 106, 39 = 2*r - 3*h. Let d(p) = p**3 + 5*p**2 + 2*p + 1. Let v be d(-3). Let j = r - v. List the prime factors of j.
2
Let w = 7 + 1. Let r be 316/w - 2/4. Suppose -3*s - 2*s = -m + 25, 3*s = 3*m - r. List the prime factors of m.
2, 5
Suppose 2*q - 117 = 2*x + 3*x, x + 97 = 2*q. Suppose g = -2*m + 24, -4*g = -4*m + q - 10. List the prime factors of m.
11
List the prime factors of 57 - (-8 + 4 - -1).
2, 3, 5
Let h be 14/4 - (-6)/4. Suppose h = 4*w - 3. List the prime factors of w.
2
Let i(f) be the first derivative of 2*f**3/3 + 3*f**2 + 6*f - 4. What are the prime factors of i(-4)?
2, 7
Suppose 4*j - 3*d - 134 = 0, 4*j + 3*d - 154 = -j. List the prime factors of j.
2
Let p(c) = 15*c - 31. List the prime factors of p(15).
2, 97
Let y(g) = g**3 + 3*g**2 - g - 4. Let p be y(-4). List the prime factors of 20*((-20)/p)/1.
5
Let j = -7 - -14. List the prime factors of j.
7
Suppose 5*l = -3*y + 93, -4*y + 73 = 4*l - 3*y. Let f = 26 - 24. Suppose f*v = 4*v - l. What are the prime factors of v?
3
Let j(n) = -5*n - 10. List the prime factors of j(-17).
3, 5
Suppose 4 = 2*v + 4*b, -4*v + 2*b - 18 = -6. Let p be -2 + 4 - 102/v. Suppose 3*x - p - 7 = 0. What are the prime factors of x?
2, 5
Let l = 23 + -12. Suppose t + l = 37. List the prime factors of t.
2, 13
Let q(h) = h**2 + 4*h + 4. Let m be q(-3). Let c(o) = 2*o**2 + 2*o - 1. Let x be c(m). Suppose -18 = -x*i + 6. What are the prime factors of i?
2
Let u(h) = h**3 - 8*h**2 - h + 5. Let n be u(5). Let z = -36 - n. What are the prime factors of z?
3, 13
Let g be (-5)/2*(-8)/10. Suppose 2*i + g*q - 4 = 16, -5*i + 4*q = -14. List the prime factors of i.
2, 3
Suppose -y - 14 - 9 = 0. Let a = y - -69. What are the prime factors of a?
2, 23
Suppose 150 = 2*z +
|
{
"pile_set_name": "DM Mathematics"
}
|
= 0?
-1, 1
Let a(m) = -4*m**3 - 22*m**2 + 26*m + 2. Let c(d) = d**2 - d - 1. Let o(i) = a(i) + 2*c(i). Determine l, given that o(l) = 0.
-6, 0, 1
Let x be 3 - (4*(-4)/(-8) - 3). Let d(f) be the third derivative of 2*f**2 + 0 + 0*f - 1/12*f**5 - 7/120*f**6 + 1/12*f**3 + 1/96*f**x. What is o in d(o) = 0?
-1/2, 2/7
Factor 4/11*t + 6/11 - 2/11*t**2.
-2*(t - 3)*(t + 1)/11
Let g(i) = -3*i - 4. Let x be g(-6). Find t, given that -4*t**2 + 15*t - x*t + 5*t**2 = 0.
-1, 0
Let u = -1104/7 + 158. Factor 4/7*t**2 - 2/7 + u*t - 4/7*t**3 - 2/7*t**4 + 2/7*t**5.
2*(t - 1)**3*(t + 1)**2/7
Let i be (-1)/(-2) + (0/(-3))/4. Let z(p) be the first derivative of -1 + 0*p**2 + 2/3*p**3 + 0*p - i*p**4. Factor z(v).
-2*v**2*(v - 1)
Let s(l) = -3*l**3 + l**2. Let p be s(-1). Determine y, given that -12*y + 39*y**p - 12*y**5 - 102*y**4 - 54*y**2 - 3*y**2 - 111*y**3 - 15*y**2 = 0.
-2, -1, -1/4, 0
Determine h so that 20 - 70*h**2 - 40*h**3 + 102*h**4 + 4*h - 175*h**2 + 123*h**4 + 36*h = 0.
-1, -2/9, 2/5, 1
Let n(j) be the second derivative of -j**5/60 - j**4/9 - 18*j. What is f in n(f) = 0?
-4, 0
Factor 10/3 + 2/15*x**2 - 4/3*x.
2*(x - 5)**2/15
Let i(k) = k**3 + k**2 + k. Let u(c) = -21*c**4 - 18*c**3 + 24*c**2 + 36*c + 6. Let j(n) = -9*i(n) + u(n). Find f, given that j(f) = 0.
-1, -2/7, 1
Factor 15/4*c**2 - 5/4*c**3 - 15/4 + 5/4*c.
-5*(c - 3)*(c - 1)*(c + 1)/4
Let p(n) be the third derivative of 2/105*n**7 + 0*n**3 - 1/15*n**5 + 1/30*n**6 + 0 + 0*n**4 - 1/84*n**8 - 2*n**2 + 0*n. Find q such that p(q) = 0.
-1, 0, 1
Let v(i) = -4 - i + 10 + 0*i. Let f be v(4). Factor 3*o**5 - 3*o**2 - f*o + 2*o**2 + 4*o**2 - 7*o**4 + 3*o**3.
o*(o - 1)**3*(3*o + 2)
Let g(x) be the third derivative of -x**8/560 - 31*x**7/350 - 44*x**6/25 - 416*x**5/25 - 256*x**4/5 + 2048*x**3/5 - 7*x**2. Factor g(t).
-3*(t - 1)*(t + 8)**4/5
Let j = -13 - -18. Let y = j - 0. What is b in -b**4 + 5*b**y - 6*b**5 + 0*b**3 - 4*b**3 + b**2 + 5*b**3 = 0?
-1, 0, 1
Let q(n) be the first derivative of 0*n + 0*n**3 - 1 - 3/8*n**4 - 3/10*n**5 + 0*n**2 + 1/2*n**6. Suppose q(p) = 0. What is p?
-1/2, 0, 1
Factor 0*b + 3/4*b**2 - 3/4*b**4 + 1/4*b**5 + 0 - 1/4*b**3.
b**2*(b - 3)*(b - 1)*(b + 1)/4
Let o = -45 + 45. Let i(f) be the second derivative of f + o*f**5 + 1/150*f**6 + 0*f**4 + 0*f**2 + 0 + 0*f**3 - 1/210*f**7. Solve i(h) = 0 for h.
0, 1
Let j(p) = -44*p**3 + 28*p**2 + 26*p + 26. Let l(v) = -5*v**3 + 3*v**2 + 3*v + 3. Let t(c) = -6*j(c) + 52*l(c). Let t(i) = 0. Calculate i.
0, 3
Let u(o) be the first derivative of 0*o + 1/33*o**6 - 2/55*o**5 + 7 - 1/22*o**4 + 2/33*o**3 + 0*o**2. Factor u(f).
2*f**2*(f - 1)**2*(f + 1)/11
Suppose -2*v**4 - 14*v - 2*v**2 + 14*v + 4*v**3 = 0. Calculate v.
0, 1
Let q(i) be the first derivative of -3*i**5/35 - 2*i**4/7 - 4*i**3/21 - 17. Let q(z) = 0. What is z?
-2, -2/3, 0
Let d(t) be the third derivative of 0*t**4 + 0 + 0*t**6 + 0*t**5 + 1/210*t**7 - 2*t**2 + 0*t + 0*t**3. Factor d(f).
f**4
Let u(d) = d**2 - d - 1. Let s(v) = v**3 - 6*v**2 + 5*v + 6. Let m(n) = -s(n) - 6*u(n). Factor m(o).
-o*(o - 1)*(o + 1)
Let w = 544 + -544. Factor -2/7*o**3 + w + 4/7*o**2 - 2/7*o.
-2*o*(o - 1)**2/7
Suppose -4*m - 4 = b + 3*b, 0 = 2*m + 4*b + 8. Let f(j) be the second derivative of 1/18*j**3 - 2*j + 0 + 0*j**m + 1/36*j**4. Solve f(v) = 0.
-1, 0
Let i be 7/(-14) + (-15)/(-6). Determine x, given that -2/9*x**3 - 2 - 2/3*x + 10/9*x**i = 0.
-1, 3
Suppose -4*i - 6 = -22. Let f(z) be the third derivative of 1/72*z**i + 0*z + 0*z**3 - 1/90*z**5 + 1/360*z**6 + 0 + z**2. Factor f(l).
l*(l - 1)**2/3
Let z(k) = k**2 - 2*k. Let f be z(3). Solve -2*g**3 - g**f - 2 + g**3 + 6*g - 2 = 0 for g.
-2, 1
Let q(y) be the third derivative of -y**6/120 - y**5/20 + 2*y**3/3 - 9*y**2. Factor q(k).
-(k - 1)*(k +
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-5
Let g(v) = v**2 - 7*v - 9. What is g(8)?
-1
Let q(n) = -n**3 + 7*n**2 - 5*n + 5. Determine q(5).
30
Let j(r) = 3*r**3 - 22*r**2 + 13*r - 30. Calculate j(7).
12
Let s(u) = -2*u**2 - 5*u + 10. Give s(-7).
-53
Let i(t) = -3*t + 70. Determine i(19).
13
Let i(y) = 3*y**2 - 12*y + 10. Determine i(4).
10
Let d(i) = -i**3 - 19*i**2 + 19*i - 21. Calculate d(-20).
-1
Let u(n) = -n**3 - 8*n**2 - 7*n - 9. What is u(-7)?
-9
Let u(o) = -o**3 - 6*o**2 - 7*o - 5. Calculate u(-5).
5
Let j(m) = 31*m - 152. Give j(5).
3
Let m(u) = -u**2 - 11*u + 30. What is m(-12)?
18
Let v(f) = -7*f**2 - f. Determine v(-1).
-6
Let i(h) = -h**3 + 20*h**2 - 32*h - 10. Give i(18).
62
Let a(k) = 2*k**2 + 7*k - 2. What is a(-4)?
2
Let s(k) = -k**2 - 2*k + 48. Give s(-13).
-95
Let w(x) = 6*x - 2. Determine w(8).
46
Let h(v) = -6*v + 220. Calculate h(37).
-2
Let x(a) = a**3 + 22*a**2 + 23*a + 55. Calculate x(-21).
13
Let c(i) = -11*i**2 - 1. Determine c(1).
-12
Let y(v) = -v**2 + 56*v - 503. Calculate y(45).
-8
Let z(l) = -13*l**3 - 2*l**2 + 3. Determine z(-2).
99
Let r(w) = w**3 - 18*w**2 - 20*w + 12. Give r(19).
-7
Let k(v) = v**3 + 5*v**2 - 12*v + 8. What is k(-7)?
-6
Let z(m) = 7*m**2 + 41*m - 6. Give z(-6).
0
Let w(r) = r**2 + 9*r - 14. Give w(-12).
22
Let r(f) = f**3 + f**2 - 3*f + 6. Determine r(0).
6
Let m(k) = -k**3 + 11*k**2 + 13*k - 7. What is m(12)?
5
Let w(t) = -2*t**2 - t + 2. Calculate w(2).
-8
Let o(x) = 9*x**3 - 3*x - 3. Give o(3).
231
Let z(k) = -k**3 - 6*k**2 - 2*k + 4. What is z(-6)?
16
Let b(p) = p**2 - 12*p + 12. Give b(11).
1
Let n(z) = 34*z - 413. Determine n(12).
-5
Let w(b) = -19*b - 106. Determine w(-5).
-11
Let h(v) = -v + 30. Determine h(13).
17
Let z(q) = -q**3 + 5*q**2 + 14*q - 7. Calculate z(7).
-7
Let c(u) = u**3 + 2*u**2 + 7*u + 6. Calculate c(-2).
-8
Let o(l) = 2*l + 16. Determine o(0).
16
Let t(k) = -k**3 + 17*k**2 + 5*k - 39. What is t(17)?
46
Let x(l) = -l**3 + l + 7. Calculate x(0).
7
Let z(g) = -g**2 - 8*g + 6. Calculate z(-8).
6
Let z(t) = -t**2 + 16. What is z(7)?
-33
Let d(l) = -5*l**2 - 5*l - 6. What is d(-1)?
-6
Let h(t) = 2*t**2 + 18*t + 15. Determine h(-8).
-1
Let g(x) = -x**2 - 9*x + 3. Determine g(-12).
-33
Let q(s) = -7*s + 14. Calculate q(9).
-49
Let o(g) = -g + 14. What is o(14)?
0
Let q(u) = -77*u - 382. Give q(-5).
3
Let h(y) = y**2 + 6*y + 11. Calculate h(-8).
27
Let j(t) = 3*t - 9. Give j(3).
0
Let c(g) = -g**2 + 17*g - 1. Calculate c(17).
-1
Let x(j) = -j**3 - j**2 + 2*j - 2. Give x(0).
-2
Let r(o) = o**3 + o**2 - 13*o - 3. Determine r(-4).
1
Let g(o) = 40*o - 7. Give g(2).
73
Let d(r) = -r**3 - 7*r**2 - 2*r - 23. Determine d(-5).
-63
Let q(h) = -5*h - 80. Calculate q(-15).
-5
Let m(y) = -39*y + 88. Give m(2).
10
Let w(a) = -2*a. Determine w(-3).
6
Let w(m) = -m**2 - 5*m + 9. Calculate w(-5).
9
Let k(q) = -q**3 - 12*q**2 - 13*q - 22. Give k(-11).
0
Let t(x) = x**3 + 9*x**2 - 22*x - 8. Determine t(-10).
112
Let i(h) = -6*h + 8. What is i(4)?
-16
Let q(x) = -5*x**2 - 61*x - 2. What is q(-12)?
10
Let b(f) = -17*f**3 + f**2 - 7*f + 5. Give b(1).
-18
Let p(j) = -j - 19. What is p(-20)?
1
Let p(w) = -2*w**3 - 4*w**2 + 3*w + 11. Give p(-3).
20
Let u(l) = -l + 8. Give u(-6).
14
Let x(s) = 5*s - 83. What is x(18)?
7
Let p(v) = -v - 5. What is p(9)?
-14
Let m(y) = y**2 + 6*y - 21. Calculate m(8).
91
Let p(n) = -9*n - 3. Give p(-6).
51
Let v(s) = s**2 + 2*s - 45. Determine v(6).
3
Let f(i) = 2*i**3 + 7*i**2 + 5*i + 3. Give f(-3).
-3
Let w(q) = -2*q - 17. Give w(-10).
3
Let m(u) = u**2 + 46*u + 342. Calculate m(-37).
9
Let x(d) = -d**3 + 15*d**2 - 21. What is x(15)?
-21
Let c(q) = -q - 24. Give c(10).
-34
Let r(b) = 4*b + 46. What is r(-16)?
-18
Let x(b) = -b**2 + 16*b + 41. Calculate x(20).
-39
Let i(b) = b**3 + 7*b**2 - 11*b - 30. What is i(-8)?
-6
Let t(
|
{
"pile_set_name": "DM Mathematics"
}
|
the second derivative of -7*g**5 - 5*g**4 - 384*g**3 - 117367*g.
-140*g**3 - 60*g**2 - 2304*g
What is the second derivative of -d**4 + 41*d**2*j**2 + 119*d**2 - 8041*d*j**2 - 5*d wrt d?
-12*d**2 + 82*j**2 + 238
Find the second derivative of -62820*l**2*n**2*u**2 + 177*l**2*n*u**2 + 12*l**2*n - 6*l*n**2*u**3 + 13*l*n*u**3 wrt n.
-125640*l**2*u**2 - 12*l*u**3
What is the derivative of -673648*j - 430664 wrt j?
-673648
Differentiate -40094*t**2 - 8653 with respect to t.
-80188*t
Find the second derivative of 1095*t**4 + 870*t**3 - 9284*t - 1 wrt t.
13140*t**2 + 5220*t
What is the first derivative of -4362007*j*u**4 - 256431*j wrt u?
-17448028*j*u**3
Differentiate -5451*y**2 - 42*y + 217636 wrt y.
-10902*y - 42
Find the third derivative of -2*s**5*y**2 + 714*s**5 + s**2*y**2 + 2*s**2 + 2*s*y - 317 wrt s.
-120*s**2*y**2 + 42840*s**2
Find the second derivative of 2*w**4 + 4*w**3 + 701*w**2 - 38968*w.
24*w**2 + 24*w + 1402
Find the second derivative of 2*a**2*p*x + 17119*a**2*x - 2*a*p + 2*a*x + 2*a + 175*p wrt a.
4*p*x + 34238*x
What is the derivative of 2*b**4 - 33*b**2 + 10693*b + 1477808?
8*b**3 - 66*b + 10693
What is the third derivative of -2205190*q**4 - 501981*q**2 wrt q?
-52924560*q
Find the second derivative of -328297*o**3 + 341420*o.
-1969782*o
What is the third derivative of 139168*m**3*x**3 - 6*m**3*x**2 + 13*m**3 + m*x**2 - m*x - 165 wrt x?
835008*m**3
What is the derivative of 3748*l*u**3 + 2*l*u**2 + 16*l - 2*u**2 - 89 wrt u?
11244*l*u**2 + 4*l*u - 4*u
Find the third derivative of 10342*f**4*v - 16*f**3*v**3 - 15*f**2*v**3 - 4001*f**2*v + f + 4*v wrt f.
248208*f*v - 96*v**3
What is the third derivative of 33*y**3 + 106*y**2 - 31?
198
Find the third derivative of -50683*i**2*n**3 - 40895*i**2*n + 2*i*n**2 wrt n.
-304098*i**2
Find the second derivative of -3*h**2*k**2*q**2 + h**2*k*q**2 + 7736*h*k**2*q**2 - 130*h*k + 43*k*q**2 wrt k.
-6*h**2*q**2 + 15472*h*q**2
Find the first derivative of -143623*s**2 - 2478737.
-287246*s
Find the second derivative of -30*x**4 + x**3 + x**2 - 130*x + 14.
-360*x**2 + 6*x + 2
Find the second derivative of f**2*i**2*r + 4*f**2*i*r - 114*f**2*i + 2*f*i*r - f*i - f*r + 372*i**3*r - 42*i**2*r - 5 wrt i.
2*f**2*r + 2232*i*r - 84*r
What is the third derivative of -7992*v**4 - 36390*v**2 + 2*v?
-191808*v
Find the second derivative of -816583*a**3 + 412900*a wrt a.
-4899498*a
What is the derivative of 219404*n**2 + 53578 wrt n?
438808*n
Find the third derivative of y**4 + 74574*y**3 + 508302*y**2.
24*y + 447444
Differentiate 215*l**3 + 3*l**2*p - 2*l**2 - 8*l*p - 318*p + 1 wrt l.
645*l**2 + 6*l*p - 4*l - 8*p
What is the third derivative of 295155*m**3 + m**2 - 14*m + 1843?
1770930
What is the third derivative of -1128168*n**6 - 541304*n**2?
-135380160*n**3
Find the third derivative of -137204*z**4 - 2078*z**2 + 38*z wrt z.
-3292896*z
Find the third derivative of -132689*t**6*y**2 + 237*t**2*y**2 + t**2*y + t**2 - 54*t*y**2 wrt t.
-15922680*t**3*y**2
Differentiate -a**3*u - 61892*a**2*u - a - 37*u + 4479 with respect to a.
-3*a**2*u - 123784*a*u - 1
Differentiate -42066*l**4 + 39866 wrt l.
-168264*l**3
What is the derivative of -3*d**2*s - 10*d*s + 1018*d + 139*s - 285 wrt d?
-6*d*s - 10*s + 1018
Find the first derivative of -5*j**4 - 6*j**3 + 24*j**2 + 24*j - 954234 wrt j.
-20*j**3 - 18*j**2 + 48*j + 24
Find the third derivative of 860153*x**3 + 3954*x**2 - 2*x + 1 wrt x.
5160918
What is the third derivative of 5*l**5*u + 42*l**5 - 2*l**2*u - l**2 - 9*l*u - 75*l wrt l?
300*l**2*u + 2520*l**2
What is the first derivative of -2120798*f**3 + 748091 wrt f?
-6362394*f**2
What is the derivative of -1487760*d - 4046717?
-1487760
What is the third derivative of -2951624*l**5 + 13*l**2 + 30937*l + 2 wrt l?
-177097440*l**2
What is the third derivative of 3*g**3*n**3 - 4580*g**3*w + 2*g**2*n**3 + 4*g**2*n**2*w + 2*g**2*w - 589*g**2 + 2*n**3 wrt g?
18*n**3 - 27480*w
What is the second derivative of 59329*w**3 - 33688*w?
355974*w
What is the second derivative of -129070*a**2 - 157088*a?
-258140
What is the first derivative of 8*n**2*s + 544939*n**2 + 34331*n*s wrt s?
8*n**2 + 34331*n
Find the second derivative of 638*d**4 + d**3 - 16*d**2 - 118176*d.
7656*d**2 + 6*d - 32
What is the second derivative of 2*j**2*x**3 - 3409*j**2*x - 16*j**2 - 26*j*x**3 + j*x + 1412*
|
{
"pile_set_name": "DM Mathematics"
}
|
= -3*h - 3*m for h.
3
Let w be -1 - (0/2 - 1). Suppose 3*q = -3*j - 15, -4*q - 10 = 2*j - w. Solve 5*l = -10, -3*a + q*l = 3*l + 6 for a.
0
Suppose -2*n = 4*y - 4, 3*y = 2*n + 14 - 53. Suppose 7*d - 3*d = a - 16, 0 = -5*a - 3*d - n. Solve a = -x - x + 10, -3*x = -5*i for i.
3
Suppose 9*q = 14*q - 30. Solve x = z - q, 2*x - 2 = 5*x + 5*z for x.
-4
Let u(h) = 0*h**2 - 3*h**2 + 6*h**2 - 1. Let j be u(-1). Solve 3*a = -15, -r + 13 = -4*r - j*a for r.
-1
Suppose 0*h - 2*h + 6 = 0. Solve -l + 2*w + 3 = 0, h*l = -3*w + 1 + 8 for l.
3
Suppose 5 = -2*j + 5*v, -2*j + 4 + 0 = 4*v. Suppose j*k = 5*k. Solve 3*w + 2*t - 11 = 8*w, k = -w - 5*t - 13 for w.
-3
Let y be 0*1/(0 + 2). Let a(q) = q**3 + q + 6. Let c be a(y). Suppose -3*b + 2 - 8 = w, 4*w + 4*b = 0. Solve 5*p - 1 = -c, w*f = 3*p for f.
-1
Suppose 1 + 47 = 12*t. Solve 2*n - f = t + 2, -2*n - f = -10 for n.
4
Let m = 1 - 4. Let l(b) be the second derivative of -b**4/12 - 7*b**3/6 - 2*b**2 - 2*b. Let i be l(m). Solve 4*r = -5*o + 10, i*o - 10 = 3*o for r.
0
Let l(h) = h**3 - h**2 - h + 3. Let a be l(0). Solve -c = 4 + 1, -a*c - 21 = 2*b for b.
-3
Suppose 0 = 4*i - 2*i - 6. Suppose -4*x = 4*a + a - 96, 0 = 5*x + a - 141. Suppose -2*b + 19 + x = 0. Solve i*t - 5*r + 17 = 0, -4*t = -0*t + 5*r - b for t.
1
Let z(r) = -2*r**2 - 8*r - 3. Let n be z(-3). Solve -2*d = -0*v - 3*v + 11, -4*d + 23 = n*v for v.
5
Let z(b) = b**3 + b + 4. Let k be z(0). Solve -m = -5*c + 9, -3*c + 5*c = k for m.
1
Let c be (-4 - -3)*(1 - 1). Solve c = 2*z + g + 3, z = 4*g - g - 19 for z.
-4
Suppose 6*m - 2*m - 20 = 0. Let f be 2*(30/4)/m. Solve 2 = k + f*x, -6*k - 4 = -4*k + 2*x for k.
-4
Let w(l) = l**3 - 15*l**2 - 16*l + 3. Let i be w(16). Solve -3*q = g - 1 - 3, 0 = i*q + 3*g for q.
2
Let p = 2 + 3. Let w(s) = 6*s - 6. Let u be w(p). Solve -2*q = -2*t - 4*q - 14, 4*t + 2*q = -u for t.
-5
Let d = -20 - -19. Let t = d + 2. Suppose m = 3*p - 5*p + 3, 0 = 2*m - 4*p - 14. Solve 2*l = m*j + t, -l = -6*l - j - 11 for l.
-2
Let i be (-1 + 6)*(-4)/(-5). Let f be 178/16 - (-4)/(-32). Suppose 1 = i*o - f. Solve 0 = w + 3*u + 9 - 21, o*w + 29 = 4*u for w.
-3
Let o = 15 - 9. Let k be (-15)/(-12) - o/(-8). Suppose -2*y = -2*q + 2, -13 + 5 = -k*y. Solve q = -5*s - 5*d, -4*s = -5*s + 5*d + 11 for s.
1
Let i be (-1)/2 + (-45)/(-6). Let k be (0 - 18)/(0 - 2). Suppose -2*y + 0*y = -g + i, 0 = 2*g + y - k. Solve g*f + 0*a + 3*a + 7 = 0, 4*a + 11 = -5*f for f.
1
Let t = -53 - -71. Solve -2*i - 8 = 2*w, 4*i + t = 2*w - 4 for i.
-5
Let x be (-2)/((-2)/72*3). Let q = x + -24. Solve q = -m - 5, c - m - 4 = -3 for c.
-4
Suppose -3*y + 2*j - 22 = y, -5*j = -y - 28. Let q = -3 - y. Let z be (2/(-6))/(4/144*-3). Solve -3*f - 3*b + 9 = q, -5*f + z*b + 3 - 33 = 0 for f.
-2
Let g(w) = -4*w**3 + 2*w**2 + 3*w + 1. Let h be g(-1). Solve 0 = -3*m + h*v - 27, -2*v - v = 3*m + 6 for m.
-5
Suppose -5*w - 4 = 5*p + 1, 0 = w - p - 9. Solve -5*u + 30 = 4*t, t = w*t - 15 for u.
2
Let d be (-2)/(-8) - (-13)/(-4). Let f(u) = -3*u**2 + u - 1. Let a be f(1). Let q be d - 6/a - -1. Solve 2*m + 1 = -p, 5*m + 2*p + 2 = -q for m.
0
Let s(l) = -l + 2. Let z be s(-5). Let w be z*2/(-7)*3. Let y be (15/w)/1*-2. Solve -5*u = y*h + 25, 0*u = h + 5*u + 17 for h.
-2
Let j be 3*1/(-6)*-4. Let v(h) = h**2 - 2*h + 2. Let y be v(2). Solve -y*m + j = 0, 4*d - 9*d - 17 = 3*m for d.
-4
Suppose -3*q = -8*q + 15. Solve q*l + 4 = 2*g, 6*g - 4*g + 3*l = -20 for g.
-4
Let q = -29 - -32. Solve -q*x = -4*s, -x - 3*x + 10 = -2*s for s.
3
Let u = 110 - 103. Solve 0 = -5*p - 2*b - u, 7*p - 3*p + 3 = b for p.
-1
Suppose -12 = -5*b + 4*l, -3*l + 3 = -2*b + 5. Solve -2*m - 21 = -v - 8, b*v - 4 = -4*m for m.
-4
Let l(m) = -m**3 + 5*m**2 + 7*m - 3. Let b be l(6). Solve -5*h + 1 = b*r, 4*h - 23 = -0*h + 5*r for h.
2
Let c be 6/(-8) - (-217)/28. Let j = -7 + c. Let l
|
{
"pile_set_name": "DM Mathematics"
}
|
)*(((-20)/14)/(-1))/(-1)?
24
What is the value of (6/(-14))/(35*57/13965)?
-3
Evaluate 5/(-120)*6*-2*(-4)/6.
-1/3
Evaluate ((-280)/980)/(1/42).
-12
(-13)/39*(-8)/8
1/3
What is the value of 2/2*(-275)/(-495)?
5/9
((-58)/145)/((-1)/(-5))*-2
4
((-11)/(-20))/((108/12)/(-36))
-11/5
((-1)/4)/(3*(-12)/(-288))
-2
Calculate ((-6)/8*3)/(4983/(-604)).
3/11
Calculate (7*1/3)/(262/(-786)).
-7
Evaluate (6/(-27))/(62/465).
-5/3
((-312)/(-182))/((2/(-14))/(3/6))
-6
2/3*(-777)/74
-7
What is (9/(-126))/(4/(32/2))?
-2/7
(2/(-2))/9*(-12)/(-96)*12
-1/6
What is ((-13225)/138)/115*((-9)/(-80))/3?
-1/32
Calculate (-10)/480*-12*16.
4
Evaluate 12/130*115/46.
3/13
(-3)/(-4)*(-22)/(-143)*-2
-3/13
Calculate (((-170)/(-34))/5)/(((-57)/(-2))/(-1)).
-2/57
What is the value of ((-168)/(-14))/((-80)/(-220))?
33
Evaluate (-1*56)/(721/(-206)).
16
Evaluate ((-5)/(-35))/((-11)/(-77))*-2.
-2
(-5)/25*-12*15/(-2)
-18
Calculate (-4)/((-8)/10)*14/(-55)*11.
-14
(700/(-56))/((-20)/(-48))
-30
What is (-13)/2574*-11*-2?
-1/9
What is the value of (((-14342)/213)/101)/((-1)/(-9))?
-6
What is the value of ((11/55)/(-1))/((-18)/10)?
1/9
(-9*(-2)/4)/((-827)/(-1654))
9
(5/((-30)/(-12)))/((-14)/(-1))
1/7
What is the value of (3/(-2))/((2592/16)/9)?
-1/12
3/1*268/402
2
What is (-6)/(-42)*(-42)/(-1)?
6
Calculate ((45/6)/3)/((-1200)/(-160)).
1/3
What is 5*12/240*1*26*-2?
-13
((-10)/(-3))/(56/(-168))
-10
Calculate 1/((-235)/(-94))*(15/3)/(-1).
-2
What is the value of -1*13/(-3)*11352/(-3784)?
-13
Evaluate 3/((-18)/(-21))*2/14*4.
2
Evaluate (8/(-2350))/(62/(-155))*5.
2/47
(8*(-72)/4224)/(-3)
1/22
Calculate (-4)/(16/(-18))*3/((-189)/(-6)).
3/7
What is (-84)/(-10)*(-28)/(-280)*-25?
-21
What is the value of (-2)/(288/160*(-20)/6)?
1/3
Evaluate (6/(-9))/(-3*21/(-945)).
-10
What is ((-5)/(-4))/((-1870)/748)?
-1/2
What is 3/(-6)*6*(-770)/(-231)?
-10
What is the value of (((-198)/847)/(-3))/((-33)/(-77))?
2/11
Evaluate 1/((-1)/((-9)/3)*1).
3
What is 12/(-132)*21/((-168)/(-40))?
-5/11
What is (1544/(-1930))/(28/(-100))?
20/7
Evaluate (4/294)/(-6*7/126).
-2/49
What is (-232)/116*-1*44/8?
11
Calculate (5/(-1))/(2/6*24/24).
-15
Calculate (15/150)/((-11)/44).
-2/5
Calculate -2*3/63*1515/(-202).
5/7
What is the value of (44/(-2))/(((-384)/(-16))/12)?
-11
What is 3654/87*(-4)/(-6)*4/14?
8
Evaluate (472/354)/(((-8)/42)/2).
-14
What is (4/(-15))/((-360)/800*(-12)/(-54))?
8/3
What is the value of 468/(-507)*130/(-50)?
12/5
Calculate (-6)/10*(-660)/(-1848).
-3/14
Evaluate (-9*(-18)/(-4617))/(((-56)/(-21))/(-8)).
2/19
What is the value of (-5)/(-1)*(-146)/(-73)*3/6?
5
What is (15/25)/(-9*(-7)/42)?
2/5
Calculate (-43)/(-86)*15/12.
5/8
What is (9/15)/((-12)/16)?
-4/5
What is 5052/(-421)*((-10)/88)/5?
3/11
What is the value of ((-6)/(-2)*1/(-1))/(1356/2260)?
-5
What is ((-358)/(-1969))/((-1)/(-55))?
10
What is (-40)/(8800/(-495))*(-4)/(-1)?
9
(-6)/8*(-13)/(3315/(-34))
-1/10
What is ((-594)/(-72))/(4*3/4)?
11/4
Evaluate 402/335*2/(-32)*-10.
3/4
What is (-12)/(540/15)*36?
-12
Evaluate ((-2)/(-6))/(532/114).
1/14
Evaluate (36/(-63))/((-3)/1*(-550)/(-1155)).
2/5
Calculate (1372/11662)/(1/136).
16
What is 7*(9/42)/((-198)/(-231))?
7/4
((-87)/(-1160)*176)/(-6)
-11/5
(-5)/8*-8*(-2)/(80/(-6))
3/4
What is -20*(-4)/((-936)/(-13))?
10/9
What is the value of (((-2150)/(-75))/(-43))/((-4)/114)?
19
Calculate 1432/358*(-3)/((-6)/(-4)).
-8
What is the value of 4/(-3)*54/(-1152)*4?
1/4
(3/(-25))/(49/(-140)*(-46)/(-161))
6/5
What is 90/(-162)*-9*1?
5
((-15)/(-20))/((-57)/380)
-5
Calculate ((-12)/14)/(((-504)/(-16))/(-21)*-2).
-2/7
14/6*(-240)/1120*(-12)/(-5)
-6/5
Calculate ((-8)/36)/(21/252).
-8/3
What is (2080/(-160))/((-1)/(-1))?
-13
Evaluate (405/(-180))/(2*(-9)/(-6)).
-3/4
What is ((-2)/104)/((-78)/1014)?
1/4
Evaluate (46/161)/((-8)/126).
-9/2
Calculate (-144)/336*(630/20)/(-9).
3/2
What is the value of 324/(-135)*25/120*-3?
3/2
What is (24/1080*-9)/(4/65)?
-13/4
What is (-8)/14*84/(-264)?
2/11
Evaluate (11/(2376/2754))/(6/8).
17
Evaluate (-130)/25*(-25)/(-10).
-13
What is the value of ((8/(-3))/(15/(60/(-8))))/(-2)?
-2/3
Calculate 2/2*-1*18/(-2).
9
18*6/(-90)*(-360)/27
16
Calculate (-60)/(-16)*((-6)/(-50))/((-2208)/920).
-3/16
What is the value of ((-7)/14*(-14)/56)/((-2)/28)?
-7/4
(135/(-36))/((-50)/240)
18
Evaluate -1*4/((-416)/39).
3/8
Calculate (103/(7416/96))/((-2)/(-21)).
14
Evaluate ((-5)/(195/(-52)))/(2/(-8))*3.
-16
What is the value of 2*(-4)/32*96/(-54)?
4/9
(-14)/(-14)*(-7)/3
-7/3
What is ((-1936)/(-48400))/(((63/(-30))/7)/1)?
-2/15
Evaluate (-84)/(-28)*8/(-192).
-1/8
What is the value of 3/(((-1776)/(-528))/37)?
33
What is (12/45)/(15/25)*(-207)/(-2484
|
{
"pile_set_name": "DM Mathematics"
}
|
- 884*l**2*p**2 - 75*l*p**5 wrt p.
-6*l**3 - 4500*l*p**2
Find the third derivative of 8215*l**3 - 7185*l**2 wrt l.
49290
Find the second derivative of 2*c**2*j**2 + 278*c**2*j*s**2 - 10*c*j**2*s - 2*c - 3*j**2*s**2 wrt c.
4*j**2 + 556*j*s**2
What is the derivative of -3*x**3 + 406*x**2 + 4739?
-9*x**2 + 812*x
Find the first derivative of -m**4*o**2 + 494*m*o**2 + 2*o**2 + 5341*o wrt m.
-4*m**3*o**2 + 494*o**2
Differentiate 2*m**3 + 31*m**2*n + 11*m - 1293*n wrt m.
6*m**2 + 62*m*n + 11
Find the third derivative of 3*l**2*y**4 - 229*l**2*y - 168*l*y**3 + 2*l*y + y**2 wrt y.
72*l**2*y - 1008*l
What is the second derivative of 3*a*i**4*x - 2*a*i**2 - 2*a*i - 42*i**4*x + 3*i - 26*x wrt i?
36*a*i**2*x - 4*a - 504*i**2*x
Find the third derivative of -394*v**4 + 576*v**2 wrt v.
-9456*v
What is the third derivative of 37*n**5 - 2*n**3 + 137*n**2 wrt n?
2220*n**2 - 12
What is the second derivative of 5*v**5 + 5*v**2 + 47*v wrt v?
100*v**3 + 10
What is the third derivative of -1180*z**3 - 2*z**2 + 17 wrt z?
-7080
Differentiate -10*g**3*k + 154*g**2*k + 3711*k with respect to g.
-30*g**2*k + 308*g*k
What is the third derivative of -2575*f**4*p + 3*f**4 - f**3 - 28*f**2 - 3*f*p - 2*f + 2 wrt f?
-61800*f*p + 72*f - 6
What is the second derivative of -3222*z**2 + z + 1177?
-6444
Differentiate 2*g*h**4 - 4*g - 341*h - 67 wrt h.
8*g*h**3 - 341
Find the second derivative of -118*g*h**2*p - 6*g*h**2 + 2*g*h*p - 9*g*h + 4*g*p - 3 wrt h.
-236*g*p - 12*g
What is the derivative of -32*k**2*v**2 - 3*k**2*v - 8*k*v**2 - 1253*v**2 wrt k?
-64*k*v**2 - 6*k*v - 8*v**2
What is the first derivative of 324*i**2 - 64?
648*i
What is the second derivative of 14442*s**5 + 14748*s?
288840*s**3
What is the third derivative of -20*a**2*j**3*o + 25*a**2*j*o**2 + a*j**2*o**2 - a*j**2*o - 8*j**3*o**2 wrt j?
-120*a**2*o - 48*o**2
Find the third derivative of 450*s**5 - 2*s**4 - 2142*s**2 wrt s.
27000*s**2 - 48*s
What is the first derivative of 28*w**4 + 3*w - 1605 wrt w?
112*w**3 + 3
What is the third derivative of 2*m**2*z**4 - 6*m**2*z**3 + 9*m**2*z + 5*m - 2*z**2 wrt z?
48*m**2*z - 36*m**2
Differentiate 1010*d*h**3 - 1444*h**3 wrt d.
1010*h**3
Find the third derivative of f**3*h*v - 49*f**3*v**3 + 2*f**3 - 2*f**2*v**3 + h*v - 19 wrt f.
6*h*v - 294*v**3 + 12
What is the second derivative of 21681*u**2 - 11188*u?
43362
What is the derivative of 2*l**2 - 901*l + 16332 wrt l?
4*l - 901
What is the second derivative of -1767*t**2 - 5032*t wrt t?
-3534
Find the first derivative of -141*w + 391.
-141
What is the third derivative of 3*a**4 + 204*a**3 - 6*a**2 - a - 98 wrt a?
72*a + 1224
Differentiate 3*w*z - 16*w + 18*z with respect to z.
3*w + 18
Find the second derivative of 143*d**2*h**2 + 29*d**2 - h**2 + 20*h wrt h.
286*d**2 - 2
Find the first derivative of 54*x*y**2 - 6503*x - 52*y**3 wrt y.
108*x*y - 156*y**2
Find the second derivative of -167*u**3*w**2 + 2*u**3 + 2*u*w - 8*w**2 + 28*w - 1 wrt w.
-334*u**3 - 16
Differentiate 2470*k**3*t**2 + 2*t**2 + 49 wrt k.
7410*k**2*t**2
What is the derivative of -4*i*p**3*x - 7*i*p**3 + 2*i*p**2*w + 6*i*p*x + 2*i*w - p*w*x wrt x?
-4*i*p**3 + 6*i*p - p*w
Differentiate 28*h**2 + 8*h*q**2 - 1863*q**2 wrt h.
56*h + 8*q**2
Differentiate -2*d*m + 318*d*q**2 + d*q - 3*m**3 + 193*m*q**2 wrt m.
-2*d - 9*m**2 + 193*q**2
Differentiate -d**3*t*x**2 + 33*d**3*t*x + 2*d**3*t - 14*d*t + 12*t - 4*x**2 with respect to x.
-2*d**3*t*x + 33*d**3*t - 8*x
What is the third derivative of -2937*g**3*v**3 + 3*g**3*v**2 + 11*g**2*v**2 + 2*v**2 wrt v?
-17622*g**3
Find the first derivative of 5449*y**2 + 884.
10898*y
What is the second derivative of -667*r**2 - r + 139 wrt r?
-1334
Find the second derivative of 2*c**3*k**2*q - 7*c**3*q**2 - 2*c**2*k**3 + c*k**3*q + 17*k**3*q**2 - 10*k**2 wrt q.
-14*c**3 + 34*k**3
Differentiate -i**3*k - 99*i**3 + i**2*k - k**3 with respect to k.
-i**3 + i**2 - 3*k**2
What is the third derivative of 16*a**2*l**3 + a**2*l**2 - 7*a**2*l - 7*a*l**3 + 3*a*l**2 wrt l?
96*a**2 - 42*a
Find the second derivative of -75*m**3 - 3*m**2 + 714*m wrt m.
-450*m - 6
What is the second derivative of -6335*t**2 + 5801*t?
-12670
Find the second derivative of -g*h**2*
|
{
"pile_set_name": "DM Mathematics"
}
|
be 38/c - (-10)/35. Find j such that 8*j**4 - 12*j**3 - 27*j**2 + 4*j**4 + 6 + 9*j**5 + m*j + 9*j**2 = 0.
-1, 2/3, 1
Suppose -3*n - p = -20, 10 = n - 3*n + 4*p. Suppose -x - n*d = 9, 0*d + 3 = -x - 2*d. Solve -1/2*k**3 + x + 2*k**2 - 5/2*k = 0.
1, 2
Let t = 5 - 9. Let f(n) = 6*n**2 - 6*n. Let h(w) = -13*w**2 + 12*w + 1 + 0*w + 0*w. Let i(j) = t*h(j) - 9*f(j). Find s such that i(s) = 0.
1, 2
Let m be (-144)/(-60) + (-8)/20. Factor 0*y - 2/5*y**m + 2/5.
-2*(y - 1)*(y + 1)/5
Let a be (9/6)/(18/24). Let -2/7 - 2/7*r**a + 4/7*r = 0. What is r?
1
Let a be -1 + (150/(-18))/(-5). Suppose -1/3*r**2 - 1/3*r + a = 0. What is r?
-2, 1
Let r(z) be the third derivative of -1/60*z**5 + 1/210*z**7 + 1/120*z**6 + 3*z**2 + 0*z + 0*z**3 - 1/24*z**4 + 0. Determine x so that r(x) = 0.
-1, 0, 1
Let 3*t**5 + 3/2*t**2 - 3/2*t**4 - 9/2*t**3 + 3/2*t + 0 = 0. Calculate t.
-1, -1/2, 0, 1
Let g(s) = 5*s**3 - 2*s**2 + s + 8. Let m(r) = -6*r**3 + 3*r**2 - 2*r - 9. Let h be 3/(-6)*(12 - 0). Let u(d) = h*m(d) - 7*g(d). Solve u(l) = 0.
1, 2
Let z(j) = 9*j**2 - 5*j - 11. Let h(l) = -5*l**2 + 3*l + 6. Let y = -2 - 2. Let w(r) = y*z(r) - 7*h(r). Suppose w(v) = 0. What is v?
-2, 1
Let v(q) = 4*q**4 - 13*q**3 - 12*q**2 + 32*q - 21. Let d(y) = -2*y**4 + 7*y**3 + 6*y**2 - 16*y + 11. Let o(z) = 10*d(z) + 6*v(z). Factor o(m).
4*(m - 2)*(m - 1)**2*(m + 2)
Let a(g) be the first derivative of 1/15*g**3 + 4/5*g + 2 - 2/5*g**2. Find x, given that a(x) = 0.
2
Let t be 24/(-20)*10/(-4). Suppose n + 5*u = 91, 0*n - 3*u - 183 = -t*n. Let -4*p**5 + 37*p**4 + 2*p**5 + 44*p**2 + n*p**3 + 8*p + 9*p**5 = 0. Calculate p.
-2, -1, -2/7, 0
Let n be (-2)/5 + 110/25. Suppose 3*v + q - 2*q - 8 = 0, 0 = -4*v - n*q. Suppose 4/5*j**3 - 2/5 + 0*j + 6/5*j**v = 0. What is j?
-1, 1/2
Let b(w) be the first derivative of 3*w**4/16 - w**3/2 + 10. Factor b(l).
3*l**2*(l - 2)/4
Let -4*i**4 + 6*i**3 + 4*i**2 + 0*i**4 + 4 - 6*i**5 - 4 = 0. What is i?
-1, -2/3, 0, 1
Factor 0*m - 3/2*m**2 + 0 - 3/8*m**5 - 3*m**3 - 15/8*m**4.
-3*m**2*(m + 1)*(m + 2)**2/8
Suppose -1/2*x**4 + 56*x - 30*x**2 - 32 + 13/2*x**3 = 0. What is x?
1, 4
Let z(f) be the first derivative of 0*f**3 - 6/5*f - 3/20*f**4 + 9/10*f**2 + 4. Factor z(r).
-3*(r - 1)**2*(r + 2)/5
Let a(l) = 3 - l**3 - 8*l - 9*l**2 + 0 + 1. Let s be a(-8). What is y in 4*y**2 - 2*y**5 + 2*y - 5*y**4 + 2*y**4 - 2*y**4 + y**s = 0?
-1, 0, 1
Factor 2/5*j**5 + 0 + 0*j**2 + 0*j - 4/5*j**4 + 0*j**3.
2*j**4*(j - 2)/5
Suppose 3/2*j + 1 + 1/2*j**2 = 0. What is j?
-2, -1
Factor 76/3*c**3 - 16/3 + 64/3*c - 28/3*c**4 - 100/3*c**2 + 4/3*c**5.
4*(c - 2)**2*(c - 1)**3/3
Let x(r) be the third derivative of r**5/180 + r**2. Factor x(y).
y**2/3
Let b(l) = 3*l - 5. Let u be b(4). Let f = u + -4. Find g, given that 5*g**2 - 1 - 2*g + g - f*g**2 = 0.
-1/2, 1
Let k(s) be the third derivative of s**8/10080 + s**7/315 + 2*s**6/45 - s**5/10 - 7*s**2. Let f(h) be the third derivative of k(h). Factor f(g).
2*(g + 4)**2
Factor -99*k**3 + 45*k**3 + 30*k**3 - 40*k**2 - 5*k**4 + 49*k**3 + 20*k.
-5*k*(k - 2)**2*(k - 1)
Suppose 4*q + q = 5*w, 5*w - 4 = 3*q. Let u be (-17)/51 - (-2)/q. Factor -u*k**2 - 2/3*k**3 + 2/3*k + 2/3*k**4 + 0.
2*k*(k - 1)**2*(k + 1)/3
Let w be 2 - ((4 - 2) + 6/(-10)). Let -4/5 - 4/5*q + w*q**2 + 1/5*q**4 + 4/5*q**3 = 0. Calculate q.
-2, -1, 1
Let n(b) be the second derivative of 2*b + 1/126*b**7 - 1/18*b**3 + 1/18*b**4 + 0*b**2 - 1/45*b**6 + 0*b**5 + 0. Solve n(x) = 0 for x.
-1, 0, 1
Let n(t) be the first derivative of 2/3*t**3 + 0*t + 3 - 1/8*t**4 - t**2. Factor n(v).
-v*(v - 2)**2/2
Factor -5 + 3 + 4*r**2 - 2.
4*(r - 1)*(r + 1)
Let p(a) = -a**3 - 19*a**2 - 99*a - 85. Let d(j) = -1. Let v(k) = -12*d(k) + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
lacement from {t: 3, n: 2, u: 1, x: 2, g: 4, m: 2}?
1/364
What is prob of sequence zoz when three letters picked without replacement from oziozbz?
2/35
Four letters picked without replacement from {n: 2, g: 16}. What is prob of sequence ggng?
14/153
What is prob of sequence qy when two letters picked without replacement from {m: 2, l: 3, y: 1, x: 9, q: 3}?
1/102
Three letters picked without replacement from arwwrrrgrrgrrwrr. What is prob of sequence arw?
1/112
What is prob of sequence gvn when three letters picked without replacement from {v: 4, h: 4, n: 3, i: 2, g: 1}?
1/182
Two letters picked without replacement from uuuuukkkkktkkkkkkktk. Give prob of sequence kt.
13/190
Calculate prob of sequence gggg when four letters picked without replacement from lggglgllgl.
1/42
Three letters picked without replacement from vgvvvvgvvvggvvggjv. Give prob of sequence vvg.
55/408
Two letters picked without replacement from {b: 3, q: 2, d: 8, f: 4}. Give prob of sequence qb.
3/136
Calculate prob of sequence ybyb when four letters picked without replacement from {b: 3, y: 4}.
3/35
What is prob of sequence vw when two letters picked without replacement from {v: 8, w: 2}?
8/45
Three letters picked without replacement from zztztztzzzztt. Give prob of sequence tzt.
40/429
What is prob of sequence dcm when three letters picked without replacement from {m: 2, c: 9, g: 5, d: 3}?
3/323
Two letters picked without replacement from {r: 2, f: 17}. Give prob of sequence fr.
17/171
Two letters picked without replacement from gggddggddddgg. What is prob of sequence dd?
5/26
Two letters picked without replacement from {r: 3, y: 1, d: 4, e: 2, z: 6}. Give prob of sequence rz.
3/40
Four letters picked without replacement from eeeecctgcegcccceee. What is prob of sequence geeg?
7/4590
Four letters picked without replacement from {y: 1, o: 5, e: 4}. Give prob of sequence eeye.
1/210
Calculate prob of sequence hph when three letters picked without replacement from {h: 2, e: 1, s: 1, p: 1, z: 4}.
1/252
Three letters picked without replacement from oooooovoov. What is prob of sequence ovv?
1/45
Two letters picked without replacement from {c: 16, u: 1, j: 3}. What is prob of sequence jj?
3/190
Calculate prob of sequence ww when two letters picked without replacement from wwwwwww.
1
Calculate prob of sequence nym when three letters picked without replacement from {y: 6, n: 5, m: 2}.
5/143
Four letters picked without replacement from cccxcxxxcddc. Give prob of sequence dxdx.
1/495
What is prob of sequence nrnr when four letters picked without replacement from {r: 10, n: 2, i: 6, l: 2}?
1/646
Three letters picked without replacement from gppkmkkpmp. What is prob of sequence mmp?
1/90
Calculate prob of sequence mt when two letters picked without replacement from {d: 1, p: 5, m: 6, t: 7}.
7/57
What is prob of sequence dd when two letters picked without replacement from dddd?
1
What is prob of sequence ku when two letters picked without replacement from cwwkkwkdcudducudw?
9/272
Four letters picked without replacement from {u: 4, b: 4, k: 9}. Give prob of sequence kbub.
9/1190
What is prob of sequence iy when two letters picked without replacement from nynisyinn?
1/18
Calculate prob of sequence ttl when three letters picked without replacement from {b: 1, x: 1, j: 2, l: 1, y: 1, t: 2}.
1/168
Calculate prob of sequence an when two letters picked without replacement from vdgan.
1/20
Four letters picked without replacement from qeeeeeqeeqeqee. What is prob of sequence qeqq?
10/1001
Calculate prob of sequence aas when three letters picked without replacement from apbffsaafbsaafsa.
3/112
What is prob of sequence ll when two letters picked without replacement from sklllss?
1/7
What is prob of sequence iiii when four letters picked without replacement from {i: 10}?
1
Two letters picked without replacement from {m: 9, f: 3, y: 6, j: 1}. Give prob of sequence fm.
3/38
Calculate prob of sequence kkkk when four letters picked without replacement from kiiiwkiwkiwwiikwi.
1/2380
Four letters picked without replacement from gggggjjg. What is prob of sequence gjgg?
1/7
Three letters picked without replacement from {y: 3, g: 4, r: 1, c: 4, x: 6, n: 1}. What is prob of sequence yyy?
1/969
What is prob of sequence ff when two letters picked without replacement from iffiiff?
2/7
Two letters picked without replacement from {o: 5, v: 1, s: 5, j: 5}. What is prob of sequence jo?
5/48
Calculate prob of sequence saas when four letters picked without replacement from saaaaasasa.
1/20
What is prob of sequence dqd when three letters picked without replacement from ddmdmsqnmdds?
1/66
Calculate prob of sequence mkk when three letters picked without replacement from {c: 1, m: 2, f: 1, i: 2, k: 1}.
0
What is prob of sequence ppp when three letters picked without replacement from {y: 5, p: 13, j: 2}?
143/570
What is prob of sequence yj when two letters picked without replacement from vjvgyaz?
1/42
Two letters picked without replacement from {c: 9, k: 3, a: 1, p: 2, x: 1, d: 3}. Give prob of sequence cc.
4/19
Three letters picked without replacement from xyxfxfyfyfxxfxxx. What is prob of sequence xyy?
1/70
Three letters picked without replacement from {o: 3, u: 1, v: 4}. What is prob of sequence vvu?
1/28
Three letters picked without replacement from aaa. What is prob of sequence aaa?
1
Calculate prob of sequence ooo when three letters picked without replacement from {o: 7, f: 2}.
5/12
Two letters picked without replacement from ddfdfklqdpddfpdfffdd. Give prob of sequence pk.
1/190
Calculate prob of sequence yhc when three letters picked without replacement from dddcdhzyzhduh.
1/572
Three letters picked without replacement from yfccfffyfffffffcyf. What is prob of sequence cyf?
3/136
Calculate prob of sequence osmd when four letters picked without replacement from {o: 3, s: 3, n: 1, m: 1, i: 2, d: 1}.
1/880
Calculate prob of sequence vg when two letters picked without replacement from {l: 1, u: 1, h: 2, g: 1, z: 1, v: 9}.
3/70
Four letters picked without replacement from peppppppj. What is prob of sequence pppe?
5/72
What is prob of sequence sx when two letters picked without replacement from xsxqqxxxs?
5/36
What is prob of sequence cco when three letters picked without replacement from owwoowwcwowoocooww?
1/306
What is prob of sequence cwn when three letters picked without replacement from cncwnccn?
1/28
Calculate prob of sequence hyy when three letters picked without replacement from yhyyd.
1/10
Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjjjjjjjjjjejjj.
7/9
Four letters picked without replacement from uqskquslqqs. Give prob of sequence kqls.
1/660
Four letters picked without replacement from lbzzzzzbzzzlbbcbtc. What is prob of sequence bblb?
1/612
Four letters picked without replacement from qmrrrqsuqsmsqmesq. Give prob of sequence qqqs.
1/238
What is prob of sequence bqsb when four letters picked without replacement from {d:
|
{
"pile_set_name": "DM Mathematics"
}
|
2*h for h.
0
Solve 2*n - 5 = -72*u + 75*u, 2*u + n + 8 = 0 for u.
-3
Solve 0 = 5*v + 5*g - 145, -4*v + 150 = -3*g + 216 for v.
3
Solve 79*r + 346*z = 349*z + 559, -4*z = 3*r - 13 for r.
7
Solve x + 3*j + 11 = 0, -2*j = -5*x - 433 + 463 for x.
4
Solve -3*j + 4*c = -32, 98*c - 95*c + 7 = -2*j for j.
4
Solve 4 = 4*k + 1948*n - 1949*n, 2*k = -n + 8 for k.
2
Solve -12 = t + q, 5*t = -91*q + 97*q - 5 for t.
-7
Solve 5*v + 14 = 3*z, 104*z - 101*z - v - 10 = 0 for z.
3
Solve -82*m = p - 75*m + 24, -2*p = 4*m + 28 for p.
-10
Solve i - 4*t - 12 = 0, -19*i + 17*i - 2*t - 26 = 0 for i.
-8
Solve u = 5*y + 31, 6*u = 5*u - y + 1 for u.
6
Solve 28 = 2*l, -3*l = -2*a - 9*l + 35 + 53 for a.
2
Solve 2*n = 6, -644*s + 669*s + 3*n = 134 for s.
5
Solve -2*d - 693*b = -689*b - 4, -b = -7*d - 16 for d.
-2
Solve -w - 4*l + l = -9*w + 52, 2*l - 8 = 0 for w.
8
Solve 0 = 4*d + 2*y + 41 - 15, -4*y - 20 = 0 for d.
-4
Solve -3*l + 36*f - 34*f - 18 = 0, 0 = 2*l - 5*f + 23 for l.
-4
Solve 23*f - 16 = o + 25*f, -1 = 9*o - 5*o - f for o.
-2
Solve 3*r = m + 16, 5*r + 12 - 32 = -5*m for m.
-1
Solve 5*n = -3*s + 43, -32 = -4*n - 23515*s + 23513*s for n.
5
Solve 4*g + 3*t + 38 = 21, 0 = 3*g + 2*t + 13 for g.
-5
Solve l + 5*r - 5 = -3, -6*r - 20 = -2*l for l.
7
Solve -4*x + 7087*c = 7088*c - 4, x + 3*c - 1 = 0 for x.
1
Solve -1433*o + 1428*o + 4*u + 5 = 0, 2*o = 4*u + 14 for o.
-3
Solve -12*t + i = 16, 25*i - 7 = -t + 23*i for t.
-1
Solve -j + 2 + 8 = 12, -j = 5*x - 23 for x.
5
Solve -72*p - 21 = -i - 67*p, 12 = -3*p for i.
1
Solve 4*d - 4 = -2*f, 8*d - 2437*f + 2434*f - 36 = 0 for d.
3
Solve 17 = -2*r + 3*j, 4*j + 19 = -2*r + 37 for r.
-1
Solve -2*z + 3*t = 20, 812*t - 44 = 4*z + 808*t for z.
-13
Solve -16 = l - 4*x, -4535*x - 7 = -3*l - 4534*x for l.
4
Solve -4*g = -16, 4*b - g + 9 = 1 for b.
-1
Solve 57*l + 1 = b + 56*l, -5*b + 19 = 2*l for b.
3
Solve h - 152*g + 154*g - 4 = 0, 0 = h + g - 4 for h.
4
Solve -5*q - 5*v + 5 = 0, 40 = 4*q - 5*v + 45 for q.
0
Solve -49 = -18*p + 3*t - 64, 4*p + 9 = -5*t for p.
-1
Solve -18*v + 5*m + 51 = -10*v, 0 = 3*v - m - 3 - 17 for v.
7
Solve -4*l = 3*i, 9728*i + 5*l + 31 = 9732*i for i.
4
Solve -2*o = -p + 9, 8 = o + 83*p - 81*p for o.
-2
Solve -4*t - 1890*p = -1887*p - 33, 5*p = t - 37 for t.
12
Solve 1120*f = t + 1117*f + 3, -t - 4*f + 4 = 0 for t.
0
Solve -2*w = -3*f + 9, 425*w = 430*w + 2*f - 25 for w.
3
Solve -4 = d, 223*x - 13*d = 226*x + 67 for x.
-5
Solve 181*q - 186*q + 27 = -s, 0 = s - 3*q + 17 for s.
-2
Solve -1247*q = -1249*q, 12 = 4*o - 3*q for o.
3
Solve -2*n = -k - 14, -5*n + 43 - 8 = -k for k.
0
Solve -3*x - 21 = -4*h, -3*h - 3 = -206*x + 210*x for x.
-3
Solve -5*y + 17 = -4*v, -16 = -9*y + 7*y - 3*v for y.
5
Solve -s = -3*p - 11, 37*p - 32*s + 352 = 39*p for p.
0
Solve -3*x - 58665*a + 58664*a = -4, 4*x + 4*a = -24 for x.
5
Solve -4*b - 24 = s, 144*s + 29 = 143*s - 5*b for s.
-4
Solve 5*r - 2*a + 15 = 0, 8 = -3*r - 1144*a + 1145*a for r.
-1
Solve 2759*h = -5*g + 2763*h - 7, 0 = h + 2 for g.
-3
Solve -7*y - 79 = -3*q - 56, -4*q + 4 = 4*y for y.
-2
Solve 13*g - 2*f + 32 = 15*g, -4*g + 2*f + 34 = 0 for g.
11
Solve 3*q = -4*t - 152 + 188, -3*q = 5*t - 48 for q.
-4
Solve -140*s + 145*s = 5*h + 90, s + h = -28 for s.
-5
Solve -2103*m - 2099*m + 4203*m - 40 = -5*k, 0 = 4*k - 4*m - 56 for k.
9
Solve 5*f + 4 = 4*a, -39*f + 80*f - 73*a = 42*f + 296 for f.
-4
Solve -3*k - m = -4, 6*m - 38 + 14 = 4*k for k.
0
Solve -2*s + 21 = -3*o, -2 - 25 = -3*s for o.
-1
Solve -4*d + 31 = 3*u, -4*u = -26*d + 31*d - 39 for u.
1
Solve -20*y + 5*k - 35 = -16*y, -9*y + 5*k = 35 for y.
0
Solve -4*s + 4 = 0, 2*s - 32 = 5*h - 20*s for h.
-2
Solve 22*b - 18*b = 20, 2*y - 20 = -4*b for y.
0
Solve 4*v + 13*u = 50, -v - 4*u = -36
|
{
"pile_set_name": "DM Mathematics"
}
|
1393228, 2786463, 4179696, 5572927, 6966156, 8359383, 9752608?
-h**2 + 1393238*h - 9
What is the o'th term of -709215, -709218, -709221?
-3*o - 709212
What is the z'th term of -763561, -1527128, -2290695, -3054262, -3817829, -4581396?
-763567*z + 6
What is the q'th term of -24720, -24721, -24722, -24723, -24724, -24725?
-q - 24719
What is the z'th term of -357322, -357320, -357318, -357316, -357314, -357312?
2*z - 357324
What is the h'th term of 18618, 37243, 55872, 74505, 93142, 111783?
2*h**2 + 18619*h - 3
What is the w'th term of -17, 16, 107, 280, 559, 968, 1531?
4*w**3 + 5*w**2 - 10*w - 16
What is the f'th term of 104548, 209098, 313648?
104550*f - 2
What is the k'th term of 757, 759, 761, 763?
2*k + 755
What is the l'th term of 378, 690, 888, 912, 702, 198?
-10*l**3 + 3*l**2 + 373*l + 12
What is the r'th term of 395151, 395159, 395167, 395175?
8*r + 395143
What is the m'th term of 140, 33, -144, -391?
-35*m**2 - 2*m + 177
What is the o'th term of 614, 4875, 16442, 38969, 76110, 131519, 208850?
609*o**3 - o**2 + o + 5
What is the a'th term of 22310475, 22310474, 22310473, 22310472, 22310471?
-a + 22310476
What is the m'th term of 78, 97, 144, 231, 370, 573?
2*m**3 + 2*m**2 - m + 75
What is the o'th term of 4991, 5142, 5293, 5444, 5595, 5746?
151*o + 4840
What is the o'th term of 138, 562, 1268, 2256, 3526, 5078?
141*o**2 + o - 4
What is the l'th term of 59426, 59424, 59422, 59420?
-2*l + 59428
What is the f'th term of 588846, 1177694, 1766542, 2355390, 2944238?
588848*f - 2
What is the n'th term of -4426, -8807, -13194, -17587, -21986, -26391?
-3*n**2 - 4372*n - 51
What is the h'th term of 1108, 2311, 3608, 4999, 6484, 8063, 9736?
47*h**2 + 1062*h - 1
What is the j'th term of 13492, 13250, 12996, 12724, 12428, 12102, 11740?
-j**3 - 235*j + 13728
What is the t'th term of -1755, -3389, -5023?
-1634*t - 121
What is the k'th term of 117606, 117616, 117638, 117678, 117742?
k**3 + 3*k + 117602
What is the t'th term of -1155, -1139, -1131, -1131?
-4*t**2 + 28*t - 1179
What is the d'th term of -24, -91, -204, -387, -664?
-4*d**3 + d**2 - 42*d + 21
What is the l'th term of -3003, -5982, -8947, -11892, -14811?
l**3 + l**2 - 2989*l - 16
What is the n'th term of -310441, -310444, -310447, -310450?
-3*n - 310438
What is the p'th term of 25922, 25920, 25918, 25916, 25914, 25912?
-2*p + 25924
What is the p'th term of -11900, -23824, -35766, -47732, -59728, -71760, -83834, -95956?
-p**3 - 3*p**2 - 11908*p + 12
What is the z'th term of 269775, 539547, 809319?
269772*z + 3
What is the z'th term of -208, -425, -626, -805, -956?
z**3 + 2*z**2 - 230*z + 19
What is the l'th term of -547992, -547988, -547984, -547980, -547976?
4*l - 547996
What is the r'th term of 3689, 7313, 10937, 14561?
3624*r + 65
What is the f'th term of -293389, -586780, -880171, -1173562, -1466953?
-293391*f + 2
What is the t'th term of 40047, 80276, 120503, 160728, 200951?
-t**2 + 40232*t - 184
What is the l'th term of 385, 570, 755, 940?
185*l + 200
What is the k'th term of 169969, 169970, 169971, 169972, 169973, 169974?
k + 169968
What is the p'th term of -3284, -3293, -3314, -3353, -3416, -3509, -3638?
-p**3 - 2*p - 3281
What is the s'th term of 21589, 43162, 64717, 86248, 107749?
-s**3 - 3*s**2 + 21589*s + 4
What is the j'th term of 1595, 3235, 4871, 6503, 8131, 9755, 11375?
-2*j**2 + 1646*j - 49
What is the t'th term of 7203, 14401, 21573, 28707, 35791, 42813, 49761, 56623?
-2*t**3 - t**2 + 7215*t - 9
What is the w'th term of -112818, -225636, -338454?
-112818*w
What is the z'th term of -10376, -20754, -31132?
-10378*z + 2
What is the d'th term of -1505, -2856, -4207?
-1351*d - 154
What is the x'th term of -3819, -7635, -11413, -15135, -18783, -22339?
3*x**3 + x**2 - 3840*x + 17
What is the s'th term of 24330, 48477, 72602, 96693, 120738?
-2*s**3 + s**2 + 24158*s + 173
What is the h'th term of -1197178, -2394344, -3591496, -4788628, -5985734, -7182808?
h**3 + h**2 - 1197176*h - 4
What is the t'th term of -54, -272, -640, -1164, -1850, -2704?
-t**3 - 69*t**2 - 4*t + 20
What is the s'th term of -3922, -3919, -3916, -3913?
3*s - 3925
What is the y'th term of 24, 99, 248, 495, 864, 1379, 2064?
4*y**3 + 13*y**2 + 8*y - 1
What is the v'th term of -48, -12, 52, 150, 288?
v**3 + 8*v**2 + 5*v - 62
What is the d'th term of 27, 88, 193, 342?
22*d**2 - 5*d + 10
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let d = -0.02 + i. Which is the second smallest value? (a) d (b) 0 (c) -1
b
Let r = 0.19 + -0.29. What is the smallest value in 5, -5, r?
-5
Let s = -0.05 - 0.35. What is the smallest value in s, 0.1, 1/4?
s
Let t = -8.6 - -11.6. Let u = 3 + -8. What is the biggest value in u, t, 1?
t
Suppose 4*j - 13 = 3. Let z be j/(-3)*3*1. Which is the third smallest value? (a) 3 (b) -0.4 (c) z
a
Let v be 3/(2 - 3) - -6. Suppose -v*l - 8 = -l. Let z be 1/(-4) - 19/4. What is the second biggest value in z, 0, l?
l
Let f be 38/10 - (6 + -3). Let a = 5 + -4. What is the second smallest value in f, 0.3, a?
f
Let o be 2/90 - 4/18. Let a be (-3)/(-12) + 30/72. What is the smallest value in 1/7, a, o?
o
Let v be 6/7 + -1 + (-51)/1309. What is the fourth smallest value in -4/5, 0.1, 2/7, v?
2/7
Let f = -0.38 + -25.62. Let r = -25.6 - f. What is the second biggest value in -4, 1, r?
r
Let c be 2/8 - (-58)/(-168). Let w = -0.03 + 4.03. What is the second smallest value in w, c, -4?
c
Let y be 1 + -1 + -2 - 7. Let x be 5/(-18) + 2/y. What is the smallest value in x, -5, -2?
-5
Let g = 0.18 + -0.2. Let u = g - 0.08. Which is the third biggest value? (a) u (b) 1/2 (c) -5
c
Let t = -13/6 + 11/6. Let i = -232/3 + 78. What is the smallest value in t, 2/7, i?
t
Let k = 16 + -15.5. Which is the third biggest value? (a) 15 (b) k (c) -1
c
Let i be (140/(-45) + 3)*3. Which is the biggest value? (a) 12/5 (b) i (c) -3/2
a
Let x = 19.1 + -17.08. Let l = x + -0.02. Let y(k) = k. Let a be y(4). What is the smallest value in -4, l, a?
-4
Let n be (1 + 39/(-12))*4. Let t = 33 - 33.2. What is the biggest value in n, t, -3?
t
Let p = -2 + 1. Let s(g) = -4*g**2 - 2*g - 1. Let j be s(p). Let o be j/4 - (1 - 2). Which is the third biggest value? (a) -0.1 (b) o (c) 1
a
Let s be (-1)/5*((-260)/16)/(-13). What is the second smallest value in 0.1, s, 2/7, 0.2?
0.1
Let r = 0.7 - 5.7. Let t = -4 - 0. Let a = -0.46 - 0.04. What is the third biggest value in a, t, r?
r
Suppose -35*t + 2 = -33*t. Let x = 5 - 1. What is the smallest value in 1/6, x, t?
1/6
Suppose 0 = -2*x - 0*x + 3*r - 14, 5*x + 9 = r. Which is the second biggest value? (a) -3/5 (b) x (c) -2
b
Let y(f) = 2*f + 14. Let k be y(-7). What is the second biggest value in 2, -4, 4, k?
2
Suppose -4*o = -2*y + 14, y + 5*o - 5 = -y. Let s = y - 21/4. Which is the third biggest value? (a) 2/11 (b) 1 (c) s
c
Let s = 0 - -0.5. Let u = -11 - -7. Let h = -3 - u. Which is the biggest value? (a) -5 (b) s (c) h
c
Let l = -0.47 + -0.53. What is the third biggest value in 12/13, -3, l?
-3
Let m = 5 - 14. Let y = -10 - m. Which is the third smallest value? (a) -2/17 (b) 2/7 (c) y
b
Suppose 8 = 3*w + y, 4 = -4*w - 3*y + 13. Let k = 24 + -17. Let t be (2/(-7))/((-3)/k). What is the third biggest value in 1/7, t, w?
1/7
Let v = -10 + 12. Let s = -0.1 + 0.3. What is the second biggest value in v, -0.4, s?
s
Let r = 1.6 + 10.4. Let y = 12.2 - r. Let u(g) = -g**2 + 7*g - 8. Let w be u(6). What is the second smallest value in -0.2, w, y?
-0.2
Let b = -715562/65 + 55399/5. Let v = b - 71. What is the second biggest value in -2, v, 1?
v
Let t be (-12)/9 + 1/1. Let d = -4/7 + 34/35. What is the third biggest value in d, t, -1/4?
t
Suppose y = -5*g + 9, -g + 4 = 3*y + 5. Let n = -2.03 + 0.03. Let t = n - -1.9. What is the third biggest value in 0, y, t?
y
Let s = -12.04 + 12. Which is the smallest value? (a) -1 (b) -3 (c) s
b
Let i = -33 + 33. Let z = -2 + 2.4. Which is the third biggest value? (a) z (b) 5 (c) i
c
Let t = -0.14 + -1.86. Which is the biggest value? (a) 0.5 (b) t (c) -2/21
a
Let g = 1.1 - 0.5. Let h = 8 + -7.7. Let w = g - h. Which is the third smallest value? (a) w (b) 1 (c) 0
b
Let n = 11/14 + -9/7. Which is the fourth smallest value? (a) -0.3 (b) 0.3 (c) -1 (d) n
b
Let t(r) = -r - 1. Let o be t(0). Suppose -2*y + 3*y = -2. Let x be ((y/(-3))/(-2))/1. Which is the second biggest value? (a) 4/9 (b) x (c) o
b
Let n = 0.073 + 0.927. Which is the third smallest value? (a) -2 (b) n (c) 4 (d) -0.1
b
Let i = 0.046 + -0.046. Which is the second biggest value? (a) -0.2 (b) -0.3 (c) 4/5 (d) i
d
Suppose -13 - 2 = -5*s. Suppose -2*x + 1 = -2*i + s, 2*i + 4 = 4*x. Let t = -0.6 + -2.4. Which is the second smallest value? (a) 0 (b) t (c) x
a
Let w = -0.1 - -1.1. Suppose -s + 24 = 2*s. Suppose t = -t + s. Which is the second smallest value? (a) t (b) -1/2 (c) w
c
|
{
"pile_set_name": "DM Mathematics"
}
|
0.578113
0.078113
-0.059 - 94562
-94562.059
What is the difference between 2 and 3.169?
1.169
Calculate -3552.9 - 0.09.
-3552.99
Sum 182736 and -0.04.
182735.96
What is 0.9 plus -7809?
-7808.1
What is the difference between 53 and 1.85?
51.15
-5+1.7121
-3.2879
Add -24 and -0.051.
-24.051
Subtract 630.18 from -0.4.
-630.58
Subtract 0.1 from 0.305.
0.205
50 - 4.356
45.644
-253647+1
-253646
Add together 0.087 and 95726.
95726.087
Work out 2 - -177.
179
What is 18.1563 minus 0.12?
18.0363
Subtract 18.5 from 1013.
994.5
-1903.7+0.4
-1903.3
Work out -0.1 - -104864.
104863.9
Total of 341 and -0.02.
340.98
Subtract -1.530477 from -0.1.
1.430477
What is the difference between -0.0452 and 0.5?
0.5452
213 + -16
197
Sum -1.4667 and -8.
-9.4667
12 + -5663
-5651
Calculate -0.34165 - 5.
-5.34165
Calculate -5 + -7.
-12
Work out 5.73 + 0.1.
5.83
What is 205 less than -103?
-308
What is 34479 minus -1?
34480
Subtract 7.9112 from 4.
-3.9112
Work out -0.5 - 82.7.
-83.2
Total of 33.326 and 4.
37.326
Total of 0.2 and -15457.
-15456.8
1.609 + 1
2.609
What is -5 take away -0.00582?
-4.99418
Work out -24 + 12071.
12047
Put together 5 and -0.31305.
4.68695
What is 2 + 742?
744
707+25.6
732.6
Work out -2833877 + 0.4.
-2833876.6
Calculate -44 + 2871.
2827
-0.2551+-7
-7.2551
-27+11
-16
Sum -32880 and -0.02.
-32880.02
Calculate 4741318 - 5.
4741313
Calculate 250609 - 1.
250608
What is 81577 plus -5?
81572
7+-290
-283
Work out 0 + -2.59.
-2.59
Calculate -1793100 - 1.
-1793101
Work out 1.4 + -465941.
-465939.6
-13 - 0.922
-13.922
0.09421 + 120
120.09421
Add together -5260 and 0.36.
-5259.64
52.99 - -3.4
56.39
What is 3 less than -307?
-310
3 - 7.5
-4.5
What is 62 minus -7?
69
What is -0.019 take away 0.07?
-0.089
Add together 0 and 3103.
3103
What is 0.156 + 1?
1.156
What is -8.67 - 3?
-11.67
Put together 74003 and -0.5.
74002.5
Calculate 6 + 95.
101
What is 8918 + -48?
8870
What is -24340 plus 1?
-24339
What is the distance between 56 and 22?
34
Work out 3067 + -4.
3063
What is -15.9658 take away -0.2?
-15.7658
What is 55 plus -2.7?
52.3
Add 0.0701 and -2304.
-2303.9299
-4+2949
2945
What is the distance between 0.07 and -22459?
22459.07
Calculate 1.77 + -11532.
-11530.23
What is -24.089 take away -8?
-16.089
What is the difference between -0.168155 and 3?
3.168155
149 - -9.6
158.6
Total of -1184 and -0.6.
-1184.6
Work out -105.6 + -0.0107.
-105.6107
Put together 109.4 and 1.108.
110.508
What is 4.2651 less than -0.4?
-4.6651
What is 0.5 take away -76.014?
76.514
Add -1283411 and 0.1.
-1283410.9
What is 0.101 minus 21?
-20.899
What is -4871 minus -0.5?
-4870.5
Put together -5 and -0.004472.
-5.004472
What is -6.8912 take away 2?
-8.8912
What is -1 - 0.676?
-1.676
What is -0.3 - -1.06?
0.76
14414 - -41
14455
0.3014 + 3
3.3014
-86 + -0.18602
-86.18602
What is -87.38 take away 0.3?
-87.68
Total of 11 and 740178.
740189
Subtract -24.815 from -7.
17.815
Add -0.4 and 573824.
573823.6
What is the difference between 1.9 and -721?
722.9
Work out -26 - -0.2591.
-25.7409
What is 23710 less than -0.5?
-23710.5
Total of 393.91 and 0.4.
394.31
Add together -28862 and -32.
-28894
What is -0.04 take away 361101?
-361101.04
What is -487 + 23?
-464
What is -31.1 take away -0.1?
-31
What is 5.59 minus -1330?
1335.59
Total of -0.4 and 1347.
1346.6
Total of -149636 and 1.
-149635
What is 291 - 1.97?
289.03
What is -0.4 + -24.53?
-24.93
Calculate 2.326 + 2.6.
4.926
What is -1126 + -2?
-1128
What is the distance between 0.1 and 7251689?
7251688.9
What is 0.21 plus -73?
-72.79
Calculate -5 + -123.
-128
Add 16 and 66.
82
Calculate -54 - 77.
-131
What is the distance between -8719 and 4.72?
8723.72
What is the difference between 2.41 and -0.513?
2.923
Work out 4362 - 0.
4362
What is the difference between -267.35 and -0.2?
267.15
Put together 11 and 54699.
54710
What is -0.001 take away -33.06?
33.059
0.21+-38907
-38906.79
Calculate -0.024 - 0.1496.
-0.1736
Total of -321 and -216.67.
-537.67
Calculate -3 + -0.04316.
-3.04316
What is -411 plus -147?
-558
83.1+-0.00579
83.09421
Put together -616 and 1.1.
-614.9
Sum -60874.21 and 0.1.
-60874.11
Subtract 1888 from -2.
-1890
Put together 16 and 12.2.
28.2
Work out 1454512 - -1.
1454513
Subtract -251 from -8.
243
What is the difference between -0.7 and 8.28?
8.98
Total of 577 and -10.
567
What is the difference between -949 and 0.4?
949.4
What is -10 less than 8272?
8282
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
om ssisisi?
2/7
Calculate prob of picking 1 l and 2 e when three letters picked without replacement from cldlcecdldded.
3/286
Calculate prob of picking 2 z when two letters picked without replacement from {t: 2, z: 5}.
10/21
Two letters picked without replacement from chucuchqucngcchhh. Give prob of picking 1 u and 1 g.
3/136
Three letters picked without replacement from {d: 2, j: 17}. Give prob of picking 1 d and 2 j.
16/57
What is prob of picking 1 a, 1 h, and 1 l when three letters picked without replacement from blbblbhbiabbbblxbaba?
3/380
Two letters picked without replacement from {k: 16, s: 4}. Give prob of picking 1 k and 1 s.
32/95
Two letters picked without replacement from {n: 2, t: 1, h: 2, l: 2, r: 1}. What is prob of picking 2 h?
1/28
What is prob of picking 1 j, 1 l, and 2 r when four letters picked without replacement from llrrljlu?
2/35
Calculate prob of picking 1 s and 2 b when three letters picked without replacement from spvspppbujppvbv.
2/455
Calculate prob of picking 1 l, 1 n, and 1 w when three letters picked without replacement from wnlwlcwllwnww.
24/143
Three letters picked without replacement from esooeesese. Give prob of picking 1 o and 2 s.
1/20
What is prob of picking 1 f, 1 g, and 1 n when three letters picked without replacement from bbfffbgngegfggebbeef?
5/228
What is prob of picking 2 n and 2 y when four letters picked without replacement from nnzynzzzzzyyyzyz?
3/182
Four letters picked without replacement from mmmmmumuumuumwuuu. Give prob of picking 2 u and 2 m.
28/85
Four letters picked without replacement from {s: 1, x: 2, y: 1, j: 1, z: 1, v: 1}. Give prob of picking 1 v, 1 j, and 2 x.
1/35
Calculate prob of picking 1 y and 2 b when three letters picked without replacement from {b: 7, y: 5}.
21/44
What is prob of picking 1 d and 1 f when two letters picked without replacement from fpccdcdcptpcnfcfpdfp?
6/95
Calculate prob of picking 1 u, 1 y, 1 n, and 1 d when four letters picked without replacement from ddnufuyffyyfyn.
32/1001
Four letters picked without replacement from eggggggelegvlcvgllc. Give prob of picking 2 v and 2 g.
7/969
Three letters picked without replacement from {a: 2, g: 2, n: 1}. Give prob of picking 2 g and 1 a.
1/5
Three letters picked without replacement from rjjjqjrrtqtjtjt. Give prob of picking 1 j and 2 r.
18/455
What is prob of picking 2 k and 1 e when three letters picked without replacement from keeeekeeeekekeeeee?
7/68
Three letters picked without replacement from wjkjwwjwwwjwk. Give prob of picking 2 w and 1 j.
42/143
Calculate prob of picking 2 i and 2 k when four letters picked without replacement from {k: 9, i: 3}.
12/55
Three letters picked without replacement from lzzzlzqzqzzqsk. What is prob of picking 1 s and 2 l?
1/364
Three letters picked without replacement from ppull. Give prob of picking 2 p and 1 l.
1/5
Calculate prob of picking 2 t and 1 v when three letters picked without replacement from bvttvvhrtbt.
6/55
Four letters picked without replacement from {n: 4, q: 6}. What is prob of picking 3 n and 1 q?
4/35
Four letters picked without replacement from gigniwiin. Give prob of picking 2 n, 1 i, and 1 g.
4/63
What is prob of picking 2 v when two letters picked without replacement from {s: 2, k: 6, v: 7, x: 1, q: 1, y: 2}?
7/57
Four letters picked without replacement from vznzinnzooenizz. Give prob of picking 2 z, 1 n, and 1 o.
16/273
Calculate prob of picking 1 g and 1 j when two letters picked without replacement from {j: 4, g: 5, q: 5}.
20/91
What is prob of picking 1 t and 1 a when two letters picked without replacement from vqwvvwawtwvwttv?
1/35
Two letters picked without replacement from {t: 7, m: 5, u: 4}. Give prob of picking 2 t.
7/40
Calculate prob of picking 2 z and 1 e when three letters picked without replacement from {z: 5, e: 11}.
11/56
What is prob of picking 1 a and 1 b when two letters picked without replacement from {a: 12, l: 2, j: 1, e: 1, b: 3}?
4/19
Calculate prob of picking 1 x and 1 c when two letters picked without replacement from aksskwxc.
1/28
Two letters picked without replacement from smsbbmsmmbmbb. Give prob of picking 2 s.
1/26
Two letters picked without replacement from {x: 1, a: 2, u: 1, t: 1}. Give prob of picking 1 u and 1 a.
1/5
Four letters picked without replacement from tnnttzzzzlltot. What is prob of picking 3 t and 1 o?
10/1001
Four letters picked without replacement from {r: 2, a: 8}. What is prob of picking 1 r and 3 a?
8/15
Four letters picked without replacement from {z: 7, n: 12}. Give prob of picking 3 n and 1 z.
385/969
Four letters picked without replacement from wohhhwwwhohwhwwwwwoo. Give prob of picking 2 w and 2 o.
18/323
Two letters picked without replacement from {p: 1, v: 2, e: 2, t: 7}. Give prob of picking 1 p and 1 e.
1/33
Three letters picked without replacement from kchwhhchih. Give prob of picking 2 h and 1 w.
1/12
Two letters picked without replacement from {x: 1, q: 3, v: 2, i: 1, b: 5}. Give prob of picking 1 q and 1 b.
5/22
What is prob of picking 2 y when two letters picked without replacement from {y: 17, n: 2}?
136/171
Two letters picked without replacement from {e: 4, k: 1, v: 4, f: 1, q: 1}. What is prob of picking 1 q and 1 f?
1/55
What is prob of picking 1 z and 1 k when two letters picked without replacement from mwmmkvz?
1/21
Two letters picked without replacement from zzzmkazkazz. Give prob of picking 2 k.
1/55
What is prob of picking 2 o when two letters picked without replacement from {k: 1, o: 4, d: 3, s: 5}?
1/13
What is prob of picking 1 c and 1 x when two letters picked without replacement from jxcllllcjllfcfz?
1/35
Two letters picked without replacement from {p: 3, s: 1}. Give prob of picking 2 p.
1/2
What is prob of picking 2 t and 2 w when four letters picked without replacement from {u: 5, w: 2, t: 5}?
2/99
Three letters picked without replacement from {x: 2, d: 2, k: 1, g: 1, a: 2}. What is prob of picking 1 d and 2 a?
1/28
Calculate prob of picking 1 v and 2 c when three letters picked without replacement from {c: 2, t: 5, v: 8}.
8/455
What is prob of picking 1 t and 1 r when two letters picked without replacement from rrrt?
1/2
What is prob of picking 1 l and 2 m when three letters picked without replacement from mmllm?
3/5
Four letters picked without replacement from {m: 17, d: 2}. What is prob of picking 2 d and 2 m?
2/57
What is prob of picking 1 f, 2 e, and 1 s when four letters picked without replacement from xefekosk?
1/70
Two letters picked without replacement from aaaaaaaalaaaalaala. Give prob of picking 2 l.
1/51
Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, t: 1, x: 1, w: 2, f: 2, d: 1}.
1/36
What is prob of picking 3 m when three letters picked without replacement
|
{
"pile_set_name": "DM Mathematics"
}
|
o(j(i)).
-5775*i
Let s(k) = -61083*k**2. Let n(r) = 3*r - 39. Calculate n(s(a)).
-183249*a**2 - 39
Let m(u) = -19*u + 1. Let o(c) = -11*c**2 - 2*c - 830. Determine m(o(p)).
209*p**2 + 38*p + 15771
Let c(k) = k. Let f(x) = -3*x - 6. Let d(i) = i + 1. Let u(g) = 4*d(g) + f(g). Let y(p) = -180*p + 270. Let m(b) = 135*u(b) + y(b). What is c(m(z))?
-45*z
Let w(g) = 2426033*g**2. Let d(b) = 23*b. Calculate w(d(n)).
1283371457*n**2
Let h(a) = -36*a. Let w(p) = -370*p**2 - p - 65. What is w(h(t))?
-479520*t**2 + 36*t - 65
Let z(x) = -835 + 48319718*x**2 - 921 - 48319725*x**2. Let s(i) = -i. Determine s(z(t)).
7*t**2 + 1756
Let w(n) = -9*n**2. Let r(p) = 50*p**2 + 37663. What is r(w(d))?
4050*d**4 + 37663
Let w(v) = 3*v**2. Let k(h) = 3054*h + 816. Determine k(w(j)).
9162*j**2 + 816
Let a(t) = -177*t**2 - 2841. Let s(v) = -2*v - 15. What is s(a(g))?
354*g**2 + 5667
Let c(a) = -3*a**2 - a - 4. Let g(i) = 4*i**2 - 220*i + 12. Let k(z) = -3*c(z) - g(z). Let d(s) = s**2. What is k(d(w))?
5*w**4 + 223*w**2
Let t(d) = 2*d**2 + 13*d - 1. Let q(v) = -v**2 - 13*v + 1. Let j(u) = q(u) + t(u). Let x(z) = 172*z. What is x(j(c))?
172*c**2
Let w(d) = 47*d**2 - 10651 + 10651. Let v(m) = 19*m. Calculate w(v(u)).
16967*u**2
Let c(j) = 844*j + 46. Let t(y) = -12*y. Determine c(t(d)).
-10128*d + 46
Let t(i) = -6*i**2 + 84. Let a(f) be the third derivative of -f**4/8 + 10*f**2 - 11. Give t(a(u)).
-54*u**2 + 84
Let f(z) be the second derivative of -z**4/4 - 47*z**2/2 - 10*z + 8. Let x(g) be the first derivative of f(g). Let d(y) = -2*y + 2. What is d(x(b))?
12*b + 2
Let n(q) = 8212103*q. Let v(x) = 3*x**2. What is n(v(r))?
24636309*r**2
Let h(i) = -i**2 - 682*i - 2. Let v(y) = -1261*y. What is h(v(j))?
-1590121*j**2 + 860002*j - 2
Let o(g) be the second derivative of g**4/12 - 10*g + 22. Let x(w) = -3*w - 373. Give o(x(j)).
9*j**2 + 2238*j + 139129
Let v(p) = 6036078*p**2. Let b(n) = n**2. Determine v(b(j)).
6036078*j**4
Suppose 0 = -2*y + y + t, -2*y = -5*t + 6. Let q(u) = -4*u**2 + y*u**2 + 6*u**2. Let f(b) = 1766*b + 1771*b - 3557*b. What is f(q(j))?
-80*j**2
Let i(a) be the second derivative of 7/3*a**3 + 0 + 0*a**2 + 16*a. Let f(s) be the first derivative of -2*s**3/3 - 2. Determine i(f(g)).
-28*g**2
Let y = 61 + -59. Suppose y*b = -b + 6. Let j(c) = 3*c**b + 560 - 560. Let n(p) = 5*p**2. Determine j(n(t)).
75*t**4
Let s(g) = g**2 - 2*g - 18. Let w be s(-5). Let b(p) = 2*p + 7*p - w*p. Let r(j) = -20*j. What is b(r(y))?
160*y
Let y(g) = 2*g. Let f be (10/(-6))/(10/(-12)). Suppose -23*k = -25*k + 8. Let c(j) = 5*j**2 - k*j**2 - 5*j**2 - 8*j**f. Determine y(c(h)).
-24*h**2
Let a(l) = 7508*l - 3686*l - 3820*l. Let g(b) = -2*b**2 - 2826. Determine a(g(i)).
-4*i**2 - 5652
Let l(x) be the second derivative of x**4/4 + 30*x. Let b(s) be the third derivative of -s**5/60 - 91*s**2 - s. Determine l(b(y)).
3*y**4
Suppose 378 = 15*w + 108. Let d(o) = -o + 34*o + w*o. Let i(k) be the second derivative of -k**4/6 + k. Determine d(i(b)).
-102*b**2
Let d(i) = -24*i**2 - 55*i - 33. Let g(c) = 11*c**2 + 25*c + 15. Let k(q) = 5*d(q) + 11*g(q). Let l(y) = -3579*y**2. Determine k(l(r)).
12809241*r**4
Let x(m) be the second derivative of m**3/6 + 7785*m. Let c(l) = -6*l + 148. Calculate x(c(t)).
-6*t + 148
Let x(k) = k. Let t(m) = 4012140*m. What is x(t(p))?
4012140*p
Let w(s) = -15440*s**2 + 2*s + 2. Let v(r) = 153*r. Give w(v(t)).
-361434960*t**2 + 306*t + 2
Let d(h) = -256*h - 1. Let n(g) = -15*g - 6*g + 41*g - 12*g - 10*g. Calculate d(n(y)).
512*y - 1
Let c(a) = -1721*a - 858*a + 2577*a. Let p(y) = 1963*y. Calculate p(c(n)).
-3926*n
Let i(a) = 773*a**2. Let m(v) be the first derivative of 7*v**3/3 + 1784. Calculate i(m(f)).
37877*f**4
Let i(y) = -9*y**2 - 67. Let x(r) = 10*r**2 + 65. Let h(b) = -3*i(b) - 2*x(b). Let s(o) be the first derivative of h(o). Let t(c) = -3*c. Calculate t(s(p)).
-42*p
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
-7/8
What is the value of (-371184)/(-13200) - 3/25?
28
What is the value of ((-15)/((-1080)/96))/(((-5)/6)/5)?
-8
-4 + -25 - (-36)/(46 - 40)
-23
Evaluate (423/27 + -15)/((-38)/(-12)).
4/19
Calculate (-2)/3*960/((-1120)/35).
20
Calculate (-2)/3 + 12*(-286)/(-3042).
6/13
15651/(-555) - (-45)/(-25)
-30
Evaluate (5 + (-16)/6)*184/(-644).
-2/3
Calculate ((-105)/98)/((-6)/(-8)).
-10/7
-1 - -3 - -6 - (7 - (-18)/18)
0
(5 - 7 - 7 - (-7)/1)*-4
8
Evaluate ((-1 - 27) + 27)*-8.
8
Evaluate 639/(-284)*24/(-837).
2/31
13/((-27)/(-3) + -10)
-13
What is the value of (664/64 - 10)*42/63?
1/4
Evaluate 324/(-2430)*(-36)/(-8).
-3/5
(10/18)/((-2084)/(-9378))
5/2
-7 - (8/(-3) + 2)*(17 + 19)
17
What is (-16)/184 - (-1900)/690?
8/3
Evaluate 5900/(-11500) - 3/(-5).
2/23
Evaluate 1224/6069*(-17)/(-2).
12/7
Calculate 3*196/(-12)*((-104)/(-140))/(-13).
14/5
(6/1)/((-10)/(-8)) + (97 - 101)
4/5
Evaluate (-2 - (-7)/5)*(-4 + -11)/5.
9/5
What is 7 + 460/(-60) + 488/48?
19/2
Calculate -14 + -2 + (-4668)/(-106) + -28.
2/53
Evaluate 6/(-3) - ((-13)/(13/6) + 2).
2
Evaluate 104/(-920) - (-11)/55.
2/23
Calculate 378/7452*(-11)/231*-12.
2/69
Evaluate (-11)/(495/6)*(-201)/(-134).
-1/5
((-770)/(-49) + -16)/((-2)/(-98))
-14
4/(-6)*34/(374/165)
-10
(-99)/(-165)*((-2)/(-7) - 1)
-3/7
What is the value of (-2409)/(-231) - 10 - 249/(-105)?
14/5
What is (111/27 - 4) + (7504/(-36))/(-14)?
15
(-44)/88*(1520/30)/4
-19/3
Calculate (18 - 14) + 2*(2 - 6).
-4
((-9)/7)/(3/(42/(-16)) + 1)
9
What is the value of (4/12)/(4/(-32))?
-8/3
Calculate ((-2430)/(-120))/81*1/(-2).
-1/8
Evaluate (-1 + 2)*(16/(-1) - -2).
-14
Evaluate ((-40)/4*-1)/((-1)/12*6).
-20
What is (((-4)/3)/((-21)/(-6)))/(734/1101)?
-4/7
What is the value of 4/(-9) - 26718/1971?
-14
Calculate (-4)/(15/20*(-80)/(-150)).
-10
(2 + (-4)/8)/((-25)/(-10))
3/5
What is ((-71)/(26625/(-300)))/((4/30)/(-1))?
-6
What is (731/(-86)*(-2)/4)/(2/8)?
17
What is the value of (192/128)/(386/(-8) - -4)?
-2/59
Calculate (-16)/(-6) + (12/(-10) - (-323)/(-85)).
-7/3
What is the value of ((-432)/1008)/(-2 - (-21)/6)?
-2/7
Evaluate (-30 - 636/(-20))*(-20)/6 - 18.
-24
Calculate 424/106 - (756/(-32))/(-7).
5/8
Evaluate ((-1)/(-3))/(12/108) + -1.
2
Calculate (63/(-12))/(36/(-144)).
21
(495/88 + -5)*168/(-63)
-5/3
What is the value of (-102)/1292*240 + (-1)/19?
-19
((-2)/11)/((-211)/(-422))
-4/11
What is 2*1/12 + 53 + (-23675)/450?
5/9
Calculate ((-3)/(-25))/(36/12).
1/25
What is 1818/(-162) + 12/54?
-11
((-12)/11)/((-408)/(-2244)) + 94/15
4/15
Calculate (4684/(-8197))/((-74)/7).
2/37
Calculate 1170/(-936)*(-48)/(-10).
-6
What is the value of (-124)/(-62)*14/2 + (-4 - -1)?
11
Calculate (-844)/(-2110) + (-2)/(-6) + 23/(-45).
2/9
What is the value of (35/(-9 - -534))/(1/(-21))?
-7/5
What is (32/(-16688))/(7/49)?
-2/149
What is the value of 384/(-896)*7/4?
-3/4
Evaluate 4440/555*10/(-8).
-10
Calculate ((-2)/(-10))/(111/10545).
19
What is (-180)/(-390)*390/40?
9/2
Evaluate ((-4)/(-52))/((-3)/(-8) + (-12)/(-96)).
2/13
Evaluate ((-55)/(-15) - 2)*342/(-12255).
-2/43
What is ((24/80)/(((-270)/(-100))/(-27)))/5?
-3/5
Calculate ((-1128)/(-846))/((-1)/(66/(-8))).
11
Evaluate (6/(-8) + 2)*((-186)/(-30) - 6).
1/4
(-8)/22 + (-1235)/(-6270)
-1/6
What is the value of 16 + (-50 - -4) + 19?
-11
Calculate 7 + ((396/90)/(-11) - 378/80).
15/8
Calculate 1212/174 - 5 - (1 - -3)/2.
-1/29
Calculate (344/(-40) - -11)/((-4)/(40/(-6))).
4
Evaluate (3/(-5)*120/108)/(8/84).
-7
What is the value of (-14)/21*15/(-2)*(-6)/(-45)?
2/3
Evaluate 0/1 - -13*(-9)/(-117) - 31.
-30
Calculate -8*(2/(-7) + (-195)/910).
4
Calculate ((-24)/42 - 531/(-378))*12/(-15).
-2/3
((3/(-2))/3)/(233/7922)
-17
((-123)/164)/((1 + 11)*(-1)/(-2))
-1/8
Calculate 1121/4248 + 2/(-18)*-1.
3/8
What is the value of 2/(-22)*2 - (-21352)/3454?
6
Calculate (10 + 0)*((986/(-85) - -16) + -3).
14
What is the value of 40/12*1/(-11 - -20 - -6)?
2/9
Calculate (-3 - 27/756*-100)/(4/(-154)).
-22
Evaluate (-99)/22*(-120)/180.
3
(-3)/10*80/180
-2/15
(-976)/(-1098)*(-1 - (-14)/8)
2/3
What is the value of (-4)/36 - ((-580)/45 - 30/135)?
13
What is (((-8)/(-66))/1)/(588 + -590)?
-2/33
16/(-20) + (4/8 - 498/(-60))
8
What is (72/(-14))/((-32)/48) + (-4)/(-14)?
8
What is 14 + -42 + 204/17?
-16
What is the value of 16 - 6461/420 - -3*(-6)/(-135)?
3/4
Evaluate (2/160)/(24/(-120)).
-1/16
What is the value of (45/(-16))/((-5667)/7556)?
15/4
What is the value of (-2)/((-6600)/(-1125) - 2/(-15))?
-1/3
35*(-90)/(-252) - 16
-7/2
Calculate ((-18)/15)/(6*(5 - (-9064)/(-1815))).
-33
Calculate (200/16 + -10)/(0 - 5).
-1/2
What is 9/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
*m**4 + 5 - 12*m**4 - 7 in the form i*m + y*m**3 + j*m**4 + u + v*m**2 and give y.
-1
Rearrange 8 - 4 - 5 - 95*f + 1 to z + w*f and give w.
-95
Express 5*j - 2*j**2 + 12*j**3 + 0*j**2 - 18*j**3 + 8*j**3 as q + v*j**3 + m*j + t*j**2 and give t.
-2
Express (-3*x**2 - 3*x**2 + 5*x**2)*(-26*x + 282 + 2*x**2 + 15*x + 11*x) in the form w*x**4 + i*x**3 + n*x**2 + a*x + q and give n.
-282
Rearrange 3 - 7*v**2 + 4*v**2 - 6 + 0*v**2 to the form s + t*v + q*v**2 and give q.
-3
Express (0*x - 3*x + 5*x)*((0 - 4 - 2)*(3 - 1 - 3) + 2 + 1 - 2 - 3 + 4 - 4 + (2 - 1 - 3)*(2 + 3 - 7) - 3 + 0 + 2 - 3 + 2 + 0) in the form m*x + a and give a.
0
Express 2*c + 75*c**2 + c - 9*c - c in the form g*c + z + w*c**2 and give z.
0
Express 2*y**3 - 3*y**4 + 2 + 2*y**4 - 106*y**2 + 120*y**2 - y**4 - y**4 as x + c*y + g*y**2 + o*y**4 + i*y**3 and give x.
2
Express (-2 + 2 + a)*(3 + 162*a**2 + a**3 + 4529808*a - 4529808*a) as d*a**3 + n*a**4 + k*a + p*a**2 + w and give d.
162
Express -r**3 + r + 16*r**4 - 15*r**4 - 2 + 12*r**2 + 0*r + 2*r**3 - 2*r**3 as x*r**4 + i*r**2 + c + p*r**3 + v*r and give i.
12
Rearrange -111*a - 118*a - 96*a to w + v*a and give v.
-325
Rearrange -5 + 1333*v**4 - 2*v**2 - v**3 - 2 - v + 1 - 1367*v**4 - 4 to z*v**4 + i*v**2 + u*v**3 + q + n*v and give u.
-1
Express -1 - 62*f**4 - 64*f**4 - 2*f**3 - 4*f**2 + 128*f**4 as m*f**3 + b + d*f + v*f**2 + r*f**4 and give r.
2
Rearrange -47*y**2 - 78*y**2 - 14*y**2 to h*y + b + c*y**2 and give c.
-139
Rearrange (2 - 2 - 2*m)*(-80*m + 3*m**3 + 80*m + 3*m**2)*(38 - 5 - 6) to the form x + u*m**3 + i*m**2 + z*m + p*m**4 and give p.
-162
Express 0*m + 2*m**4 + m**4 + 511*m**2 - 2*m - 4*m**4 - 470*m**2 as r + k*m**2 + b*m + d*m**3 + u*m**4 and give b.
-2
Express 7*m**4 - 12*m**4 - 4*m**2 + 3*m**3 + 6*m**4 as h*m**2 + d*m**4 + f*m + t*m**3 + c and give d.
1
Express -14*y**2 + 5*y + 124 - 5*y - 136 in the form w + c*y + r*y**2 and give r.
-14
Express -4*d + 3*d + 638 + d**2 - 4*d**4 + 2*d**4 - 3*d**2 - 662 as n*d**2 + h*d**3 + a*d + s + m*d**4 and give m.
-2
Express -2*i**3 + 10*i**2 - 8*i**4 - 2 + 6*i**4 + 0*i**3 + i**2 + 5*i as f*i**3 + s + k*i**4 + j*i + o*i**2 and give s.
-2
Rearrange 14 + 0 + 0*t**2 - 12 - 99*t - t**2 to o*t**2 + w + k*t and give o.
-1
Rearrange (5723*q**2 - 2174*q**2 - 2410*q**2)*(-3*q + 5*q - 3*q) to the form x*q**3 + f*q + b*q**2 + l and give x.
-1139
Express 10*h**3 - 4*h + 5 + 2543*h**2 - 2543*h**2 as i*h + o*h**3 + q + j*h**2 and give i.
-4
Express -18*x**2 - 129*x**2 + 0 - 1 + 3 as b*x**2 + m + k*x and give b.
-147
Express (-t**3 - 4*t**3 + 2*t**3)*(-2 + 7*t + 2) - 3*t**4 + 0*t**4 + 8*t - 11*t as r*t**3 + l*t**2 + s + h*t + o*t**4 and give o.
-24
Rearrange -4*l**2 - 1405*l**3 + 0*l**2 + 1405*l**3 + 2*l**4 - 72*l to c*l**4 + v*l + r*l**2 + k + o*l**3 and give c.
2
Express -42*t**2 - 10*t**2 + t - 12*t**2 as o*t + v + r*t**2 and give r.
-64
Express (43 - 43 - 7*g**3)*(-7 + 20 + 16 + (3 - 4 + 3)*(-1 + 4 - 1)) as h + l*g**3 + j*g**2 + x*g and give l.
-231
Rearrange m**2 - 50*m - 150*m**4 - 86*m + 135*m + 2*m**3 to c + q*m**3 + a*m**2 + s*m + o*m**4 and give a.
1
Rearrange -3 + 1 + 136*u**2 + 720*u - 721*u - 53*u**3 + 54*u**3 to j*u + o + b*u**2 + t*u**3 and give o.
-2
Express -1323*i - 2034 + 2034 as v*i + c and give v.
-1323
Rearrange (0*k**2 + 3*k**2 + 0*k**2 - 3*k**3)*(-6 + 13 - 64) to the form d*k**2 + f*k + b + h*k**3 and give h.
171
Express 3*n - 99 + 178 - 90 - 4*n as q*n + w and give w.
-11
Express (-18 + 88 + 265)*(-3*g + 2*g + 0*g) as v*g + d and give v.
-335
Rearrange -781*q**2 - 979*q**2 + 202*q**2 - 148*q**2 to y*q + h + z*q**2 and give z.
-1706
Express 8*g**2 - 251*g + 5 - 9 + 252*g in the form x + b*g + f*g**2 and give x.
-4
Express -33*g + 43*g - 1047*g as d + n*g and give n.
-1037
Express 3*h - 2 + 114*h**2 - 230*h**2 - 8*h**4 + 116*h**2 - h**3 as n*h**2 + m + q*h**3 + w*h + i*h**4 and give i.
-8
Express (-3
|
{
"pile_set_name": "DM Mathematics"
}
|
et a be (-12)/f*(-6)/9. Find c, given that -4/17*c**2 + a*c - 2/17*c**4 + 6/17 - 8/17*c**3 = 0.
-3, -1, 1
Suppose 21*s = 27*s - 283*s. Factor 0*u + 4/5*u**4 + 4/5*u**5 + s*u**2 + 0 - 8/5*u**3.
4*u**3*(u - 1)*(u + 2)/5
Let v(y) be the first derivative of -y**7/420 - y**6/60 + y**4/3 - 19*y**3/3 + 6. Let l(j) be the third derivative of v(j). Suppose l(a) = 0. What is a?
-2, 1
Let p(l) be the second derivative of 4*l**3 - 1/30*l**6 + 2/5*l**5 + 0 - 11/6*l**4 - 9/2*l**2 - 9*l. Solve p(x) = 0.
1, 3
Let h(f) = f**3 + 2*f**2 + 2*f. Let b(a) = -3*a**3 - 4*a**2 + 23*a - 54. Let n(c) = 3*b(c) + 6*h(c). Factor n(w).
-3*(w - 3)**2*(w + 6)
Let n(x) = 3*x**2 + 8*x + 2. Let f = -3 - 0. Let i be n(f). Factor -6 - 2*h - i*h - 5*h**3 - 2*h + 8*h**3.
3*(h - 2)*(h + 1)**2
Let u(t) be the third derivative of -t**9/35280 + 3*t**8/7840 - 3*t**7/1960 - 2*t**4/3 - 18*t**2. Let m(i) be the second derivative of u(i). Factor m(s).
-3*s**2*(s - 3)**2/7
Find a, given that 2184*a + 1352/3 + 50/3*a**4 - 420*a**3 + 7418/3*a**2 = 0.
-2/5, 13
Let y(w) = 2*w**4 - 6*w**3 + 12*w**2 + 4*w. Let c(a) = 2*a**4 - 6*a**3 + 11*a**2 + 3*a. Let j(z) = -6*c(z) + 5*y(z). Suppose j(o) = 0. Calculate o.
0, 1
Let r = 15126 + -75626/5. Find p such that -4/5*p**2 + r*p**4 + 0*p + 0 - 4/5*p**5 + 4/5*p**3 = 0.
-1, 0, 1
Let a(t) be the first derivative of 7*t - 1/30*t**3 - 8 + 1/100*t**5 + 1/60*t**4 - 1/10*t**2. Let h(p) be the first derivative of a(p). Factor h(b).
(b - 1)*(b + 1)**2/5
Let d(y) be the third derivative of -15*y**2 - 1/105*y**5 + 0*y + 1/420*y**6 + 0 + 0*y**3 + 0*y**4. Factor d(n).
2*n**2*(n - 2)/7
Let q be (0 - 0) + 0 + 4. Let b = -4 + 6. Factor n**2 + b*n - 5*n + 3*n - q.
(n - 2)*(n + 2)
Suppose 0 = 4*c - n - 22, 5*c - 5*n - 65 = -15. Factor 2/5*v + 3/10*v**2 - 2/5 - 1/10*v**c - 1/5*v**3.
-(v - 1)**2*(v + 2)**2/10
Let f = 1 - -2. Let i(x) = -69*x + 22 + 26*x**2 - 40*x + 19*x. Let w(s) = 25*s**2 - 89*s + 21. Let u(d) = f*i(d) - 2*w(d). What is z in u(z) = 0?
2/7, 3
Let -9 + 1/2*u**2 + 17/2*u = 0. Calculate u.
-18, 1
Let q(p) be the third derivative of p**8/168 - 8*p**7/105 + p**6/10 + 4*p**5/15 - 7*p**4/12 - 259*p**2. Solve q(b) = 0.
-1, 0, 1, 7
Let k(x) = -3*x**2 + 37*x - 37. Let p be k(11). Let c be ((-14)/20)/p*54/(-9). Suppose -3/5*f - c*f**2 + 6/5 = 0. What is f?
-2, 1
Suppose i = 6*i - 35. Suppose -4*b + 55 - i = 0. Determine m, given that 3*m**3 - b*m**4 + 3*m**3 + 3*m**5 + 9*m**3 - 6*m**2 = 0.
0, 1, 2
Let w(i) be the third derivative of -i**5/20 + 163*i**4/4 - 26569*i**3/2 - 2*i**2 + 161. Factor w(u).
-3*(u - 163)**2
Let b(r) = -r**3 - 12*r**2 - 2*r - 22. Let u be b(-12). Factor 4*h**3 - 8*h**u + 3*h + 4*h**2 - 7*h + 8 - 4*h**2.
4*(h - 2)*(h - 1)*(h + 1)
Let v(t) be the first derivative of t**4/42 + 34*t**3/63 + 10*t**2/7 - 417. Suppose v(k) = 0. Calculate k.
-15, -2, 0
Let t(s) be the second derivative of 2*s**6/3 - 7*s**5/20 - 11*s**4/12 - s**3/3 - 447*s. Determine g so that t(g) = 0.
-2/5, -1/4, 0, 1
Let b(l) be the second derivative of -3*l + 1/180*l**5 + 0*l**4 + 1/540*l**6 + 0 - 3/2*l**3 + 0*l**2. Let r(z) be the second derivative of b(z). Factor r(w).
2*w*(w + 1)/3
Let x(r) be the third derivative of r**6/280 - 9*r**5/140 - 3*r**4/14 + 10*r**3/7 - 56*r**2. What is h in x(h) = 0?
-2, 1, 10
Let d(f) be the first derivative of -2*f**3 - 16*f**2 + 70*f - 552. Factor d(z).
-2*(z + 7)*(3*z - 5)
Let o(s) be the first derivative of -1/3*s**4 - 2/5*s**5 + 2*s**3 + 8/3*s + 4*s**2 - 8. Solve o(a) = 0 for a.
-1, -2/3, 2
Let c be 72/(-99) - 2*-2. Let k = c - 39/22. Factor k - 9/2*h - 6*h**2.
-3*(h + 1)*(4*h - 1)/2
Let m = 480 - 2927/6. Let g = -15/2 - m. Factor -4/3*n - 4/3 - g*n**2.
-(n + 2)**2/3
Let h(i) be the second derivative of i**6/6 + 13*i**5/2 + 1205*i**4/12 + 780*i**3 + 3240*i**2 - 4*i + 2. Let h(o) = 0. Calculate o.
-9, -4
Let n(c) = 3*c**2 + 363*c + 11912. Let d(z) = 15*z**2 + 1818*
|
{
"pile_set_name": "DM Mathematics"
}
|
Solve -u = -y*u for u.
0
Suppose 4*s = 3*s - 3. Let d be 6/(-4)*(-3)/(12/32). Let j be -3*(28/d + s). Solve -2*z - j = -4*z for z.
1
Suppose 0 = -5*k - 5*b + 85, -4*b - 25 + 1 = 0. Solve -k*y = -54 - 38 for y.
4
Let f be (-276 - 0)/(15/1 + -17). Solve -20*p - 3*p + f = 0 for p.
6
Let p(x) = 5*x - 25. Let m be p(6). Let i(v) = 11*v + 60. Let t be i(-13). Let l = -63 - t. Solve m = 5*f - l for f.
5
Suppose 2*b - 26 = -4*o, 3*o - 4*b = -92 + 95. Solve -287 = o*u - 317 for u.
6
Suppose -183 = -4*g - 3*d, -25*d - 269 = -5*g - 23*d. Solve g*p + 84 = -273 for p.
-7
Let f = 10440 + -10372. Solve -28*m - 100 = f for m.
-6
Let u(q) = 1 + 33 - 9*q + 0*q - 11. Let f be u(2). Solve -8 = -f*r + 2 for r.
2
Let x(g) = g**2 - 5*g - 21. Let d(q) = -q**3 + 3*q**2 - 6*q + 5. Let o be d(2). Let f be x(o). Solve -1 = f*v - 4 for v.
1
Let x be -36 - 3 - (0 - 0). Let w(i) = -10*i**2 - 162*i + 322. Let g be w(2). Let k = x - g. Solve -2*c - k = c for c.
-1
Suppose 0 = 2992*p - 2912*p - 3680. Solve p*m = 15*m + 93 for m.
3
Let t(a) = -7*a - 20. Let v be t(-7). Suppose 5*w - v = -4. Suppose w*q - q = 0. Solve -3*m - m + 12 = q for m.
3
Suppose -440*d + 473*d - 289 = 668. Solve v + 23 = d for v.
6
Suppose 28*i + i - 4727 = 0. Let q = i - 98. Solve q = -5*x + 50 for x.
-3
Let d = -4 + 6. Suppose -10*q + 532 = -3*q. Let m = q - 68. Solve m = 5*b - d for b.
2
Let w = -102 + 26. Let d = w - -80. Suppose 5*y - 20 = 0, -g - 5*y + 36 = -0*g. Solve -g = 4*t + d for t.
-5
Suppose 656 = 4*g - 64. Solve -13*h = -43*h - g for h.
-6
Suppose -2*x + 112 = y, 2*x + 154 = 5*x - 2*y. Solve -37*j = -19*j + x for j.
-3
Suppose 3*g - 1724 = 4*a - 563, 9*g - 3*a - 3537 = 0. Solve 13*c = -512 + g for c.
-9
Suppose -5*o + 16737 = 3*s, 3*s - 12528 = o + 4209. Solve -s*x + 40 = -5584*x for x.
-8
Let a(r) = -4*r**2 - 94*r - 25. Let k be a(-29). Let m = k - -668. Solve 12 = m*w + 12 for w.
0
Suppose -o - q = -37, q = -4*o - 0*q + 139. Suppose 3*y - 119 = -5*u, -2*u + o = -3*y - 1. Let c = u + -7. Solve 6*a = a - c for a.
-3
Let h = -174 + -34. Let s = 291 + h. Let u = s - 79. Solve -3 = b - u for b.
1
Let x(o) = -o**2 + 6*o - 1. Let u be x(5). Let b(f) = -f**2 - 13*f - 29. Let h be b(-10). Suppose 49 = u*y + h. Solve 0 = -0*q + 3*q - y for q.
4
Suppose 39*m - 55*m + 2664 = 58*m. Solve 8*p = -m*p - 264 for p.
-6
Suppose 0 = -4*f - 2*g + 52, -g - 21 = -5*f + 30. Suppose 5*x + 10 = 5*u, 3*x + 7 = u + f. Let a(p) = 2*p - 11. Let n be a(7). Solve -2 = -n*z - u for z.
-1
Let o be -16*2*8/(-64). Suppose 5*d + 3 = -5*n + 8, o*d = n + 24. Solve d = -5*c - 20 for c.
-5
Let t(i) = 110*i - 7800. Let v be t(71). Solve 0 = -v*f - 23 + 33 for f.
1
Let t(c) = 12*c + c**3 - 1 + 0 - 7 + 13 - c**2. Let k be t(0). Solve 6*i = k*i - 1 for i.
-1
Suppose 0 = -27*j - 25*j + 76*j - 20832. Solve -858*y + j*y = -10 for y.
-1
Let c be 2*-2 + (-4)/8*-2. Let a be 0/(-4) + (21/3 - c). Solve -4*x - 2 - a = 0 for x.
-3
Let m(q) = q**3 - 19*q**2 + 21*q - 22. Let t be m(18). Let l be (-2 + t)*(-5)/(-15). Solve 3*y - 1 = -l for y.
-3
Suppose 2*g + 82 - 46 = 0. Let y = 22 + g. Suppose -4*j + l + 24 = -0*j, -y*j + 8 = 3*l. Solve 0 = j*a + 7 + 8 for a.
-3
Let n be 5*((-33)/(-9) + -4)*-3. Suppose 16 = 4*r, b = -b - n*r + 22. Solve -5*u + b = 11 for u.
-2
Let b = -1717 + 1796. Solve 30*m - 259 = -b for m.
6
Suppose -2*t + 3*t - 2 = 0. Suppose -99*l = -78*l - 189. Suppose 3*k = 7*k + y - l, 4*k = -t*y + 6. Solve 7*r = k*r for r.
0
Let q(h) = -h**3 - 13*h**2 + 28*h - 25. Let p be q(-15). Suppose 55 + p = 12*i. Solve -10*z + i = -5*z for z.
1
Let p be (-18 + 2)/((-10)/40). Let h(a) = a**3 - 7*a**2 - 3*a + 5. Let z be h(5). Let n = p + z. Solve -t = -n*t - 15 for t.
-5
Let y(g) be the first derivative of g**3/3 - 11*g**2/2 - 122*g + 389. Let v be y(-7). Suppose -2*p - 5*o - 6 = 0, 3*p + 2*o - 4 = -2. Solve -v = 3*t + p for t.
-2
Let p = 0 + 0. Suppose x + 2*w = p, 3*x + 2*w - 32 = 4*w. Let d = x + -6. Solve 13 + d = -5*f for f.
-3
Suppose -24*i = 75*i + 11*i - 2200. Solve -82 = i*a + 18 for a.
-5
Let h = 16 + -3. Let d be (h/39)/((-1)/(-3)). Suppose -q + 1 + d = 0. Solve q = 2*l -
|
{
"pile_set_name": "DM Mathematics"
}
|
)**25 assuming y is positive.
y**(5400/29)
Simplify (o*o**(-1/5))**(29/3)/(o**(-6)*o*o**(-4))*(o**(1/4))**(-14)*o**(-5)*o*(o/(o/(o*o**(-2/9)*o*o*o)))/o assuming o is positive.
o**(1081/90)
Simplify ((q/((q/((q*q/(q*q/(q**(2/17)/q)))/q))/q))/q**(2/11))**(-3/4)*(q*q**(-4/5)*q*(q**2*q)/q*q)**20 assuming q is positive.
q**(63429/748)
Simplify ((l*l**(-7))/l)/l*l*l**(-3/4)*l*l*(((l**(-1)/l)/l)/l)**(-13/2)*((l/(l/l**(-6)))/(l*l*l/l**(-6)))**(23/3) assuming l is positive.
l**(-379/4)
Simplify (b**(1/3))**(-37)/((b/b**(-2)*b)/b*(b/b**(-1))/b)*((b/(b/(b*b**0)))**(-28))**36 assuming b is positive.
b**(-3073/3)
Simplify ((p/(p*p/(p/p**(-6))))**(-34/3)*p**(2/37)*((p**(-15)/p*p)/p)/p)**25 assuming p is positive.
p**(-78575/37)
Simplify (q**(-11)/(q/(q*(q*q**0*q)/q*q*q))*(q*q**(-1/3)*q)/q**(-2/7))**(5/6) assuming q is positive.
q**(-635/126)
Simplify (i**(-1))**45*(i**(1/2))**(1/8)*(i*i/i**(-3/2))/i*i**(5/3)*i**4/i**(-1/5) assuming i is positive.
i**(-8777/240)
Simplify (((h/(h*h**28/h)*h)/h)/(h**37*h)*(h**12)**(-29))**25 assuming h is positive.
h**(-10325)
Simplify ((c*c**(-9)*c*c)/c**(-8))/(c**(-1/6)*c**(-2))*((c**(-1)/c*c)**(11/4))**(14/9) assuming c is positive.
c**(-1/9)
Simplify (b*(b*b*b**(-2)/b)/b*(b**(-5)*b)/b)**(2/71)*((b**(-2/7))**(-13))**(-26) assuming b is positive.
b**(-48080/497)
Simplify (p*p/((p/p**(-2))/p))/(p/(p**0*p))*p**3/p**7*((p/p**(2/9))**(-49))**(9/4) assuming p is positive.
p**(-359/4)
Simplify (i**(-4/7)*i*i/i**(-17)*((i/(i/(i*i/(i**5*i)*i*i*i)))/i)/i**11)**(1/27) assuming i is positive.
i**(38/189)
Simplify (((f**(-6)*f)/f*f*f*f**28)/(f/f**2)**(-1/23))**(14/11) assuming f is positive.
f**(7714/253)
Simplify ((w**27)**(-43)*w**(-36)/w*w**(-11/7))**(18/7) assuming w is positive.
w**(-151146/49)
Simplify (i/i**(-6)*i**(2/3))/(i/(i*(i*i*i/(i/(i**(1/2)*i)))/i))**(-13)*(i/((i/i**(-2))/i))**(-19)/((i/i**(-3/5))/((i**(-8)*i)/i)) assuming i is positive.
i**(-463/30)
Simplify (u*u**(1/2))**(-11)*((u/((u*u**(-1/4)*u*u)/u))/u)**(-47)*((u/u**(-3/10))/u**6)**23 assuming u is positive.
u**(-847/20)
Simplify ((h**(1/6)/(h*h**(2/9)*h))/(h/(h*h**(-2/5)))**(-36))/(h**(-2)/h**(-6)*h*h**(-1/8)*h*h**(2/7)) assuming h is positive.
h**(15583/2520)
Simplify ((u**22)**(-18)*((u**(2/29)*u)/u*u)/(u/(u**(-7/8)*u)*u))**(4/9) assuming u is positive.
u**(-92059/522)
Simplify ((y/y**(-3/2))/y**4)**(2/13)*(y/(y/(y*y**(-2/13)))*y**(-6))**(2/49) assuming y is positive.
y**(-281/637)
Simplify (l/l**(-6)*l**(-2/17)*(l/l**1)/l**4)/(((((l/(l*l**(-3/2))*l)/l)/l)/l)**(-1/18))**(-38) assuming l is positive.
l**(1205/306)
Simplify ((z**0/z*z/z**8*z)/(z**(-1/4)/(z/(z/z**(-2/7)))))/(z**(-11)*z**(-4))**(-2/29) assuming z is positive.
z**(-6553/812)
Simplify (((o/o**(-4))/o*o*o/o**(2/5))/(o/(o**(-2)*o)*o*o**(-3)))/((o**(-1/2)*o*o*o/(o*o**5))/(o**0*o**3/o)) assuming o is positive.
o**(111/10)
Simplify ((g**5*g**3)/(g**(-1/2)/g)**(8/11))/((g**(1/2))**(-1/3)/(g/g**(-1))**6) assuming g is positive.
g**(1403/66)
Simplify ((((l/(l*l**(4/9)*l)*l)/l**(3/2))/((l*l**1*l)/l*l)**(1/6))**(1/25))**(-5/9) assuming l is positive.
l**(22/405)
Simplify ((g**2*g)**(-45)*g**9/(g/(g*(g*g/(g**(1/6)/g))/g)*g))/(((((g/(g*g/(g**(-1/4)/g)*g))/g)/g)/g)/(g/((g/g**(-3/5))/g*g)))**18 assuming g is positive.
g**(-352/15)
Simplify (a**(2/5)/(a*a**(1/4)*a))**48/(a**(-1/3)/(((a**1/a)/a)/a))**(7/4) assuming a is positive.
a**(-5503/60)
Simplify (t**(-3)/t**(-2))**(2/37)*(((t*t**(-1))/t)/((t**(-1/3)/t)/t))/((t**(1/8)/t)/t**(2/9)) assuming t is positive.
t**(6331/2664)
Simplify (r*(r**(1/4)/r)/r)/(r/r**0)*(r**(4/9)*r)/(r**(-5)/r)*(r**(4/3)/(((r/(r**(-3)/r)*r)/r)/r*r))/(r**5*r*r**5/r*r) assuming r is positive.
r**(-323/36)
Simplify ((y*y**(2/17))/(y**13*y)*(y*y*y*y/y**(-26))/((y/y**(4/5))/y*y*y))**(4/13) assuming y is positive.
y**(5412/1105)
Simplify (j**(-32)/j*j*j**(-36))/(j**(-10)*j**(-16)) assuming j is positive.
j**(-42)
Simplify (q**1*q*(q**(2/23)/q)/q)/(q*q*q**(1/6)*q*q**(-2/11))*(q**4/(q/q**2))**(-24) assuming q is positive.
q**(-186559/1518)
Simplify (o**3*o*(o**3/o)/o)/((o*o**(1/4)*o)/o)**20*((o*o**2)/o*o*o*o*o**3*o)/(o*(o**(-1)*o)/o*o/o**(1/3)) assuming o is positive.
o**(-35/3)
Simplify ((p**(-1/11)/p)**(-47)*(p*p**(-12))**(-14))**(-2/9) assuming p is positive.
p**(-4516/99)
Simplify ((f/f**(-7))/(f/(f*f**(-2/5))))**(2/41)/((f/(f/((f/f**(-1/2))/f)))**32)**
|
{
"pile_set_name": "DM Mathematics"
}
|
ue
Let d(j) = 2*j**2 + 7*j - 2. Let g be d(-4). Suppose -g*v - 505 = -6*v + 3*q, -2*v = -q - 251. Is v a multiple of 13?
False
Let y(d) = 8*d**3 - 2*d + 3161. Is 6 a factor of y(0)?
False
Suppose -3*v = -3*c + 1359, -6*v + 2*c - 2256 = -v. Let n = v + 902. Is n a multiple of 18?
False
Let r = -413 - -429. Let j(k) = k**3 - 15*k**2 + 5*k + 182. Is j(r) a multiple of 37?
True
Suppose 2*y = -1 + 9. Let k be ((-12)/(-9))/(y/834) + -2. Suppose -i + j = -51, -4*j + k = 5*i + 21. Does 5 divide i?
False
Suppose 4*j + 83 = 71, -7103 = -2*q - 3*j. Does 47 divide q?
False
Suppose -2*g - 20 = x - 30, 10 = -2*x + 2*g. Suppose -9*p + 13*p - 4 = x, 0 = -3*h - 3*p + 171. Is 10 a factor of h?
False
Let y(h) = 23*h**2 - 8. Let c be y(-4). Let o = 540 - c. Is o a multiple of 21?
False
Let l = -40 - -46. Does 29 divide 290/(l/(-15) + 28/20)?
True
Suppose -13412 - 13748 = -56*q. Is q a multiple of 13?
False
Suppose 1702 = -11*q + 16*q + 3*j, -2*j + 8 = 0. Is 2 a factor of q?
True
Suppose 7*q + 140 = 4*q + 5*d, -3*d + 3 = 0. Let l = 131 + q. Is l a multiple of 4?
False
Suppose 4*a = -3*y + 127956, 3*a - 198202 = -5*y + 15080. Is 20 a factor of y?
True
Suppose 1255*x - 1256*x = -3544. Is x a multiple of 5?
False
Let s = -323 + 35. Let z = 87 - s. Does 25 divide z?
True
Suppose 0 = 57*l - 55*l - 576. Suppose -2*t - 2*t = 0, -4*y + l = -t. Does 36 divide y?
True
Suppose -4*n + 2*n = -4*b + 90280, -3*n + 67728 = 3*b. Suppose 2*w - 29*w = -b. Does 55 divide w?
False
Let w be (-2 - 20/35)/(2/(-42)). Let a(c) = -4*c - 36. Let f be a(-10). Suppose -5*k + f*s + 120 = 0, s + w = 2*k + 3. Does 7 divide k?
True
Let d be 11/(33/5298) + 1 + -3. Suppose -4*x - 10*x = -d. Is x a multiple of 10?
False
Let q be 3 - (20/4 + 183). Let j = -6 + -116. Let x = j - q. Is 6 a factor of x?
False
Let z(k) = -2*k + 19. Let s be z(-28). Let f = -3 + s. Suppose -9*y - 38 = -11*y + 2*w, f = 4*y - 2*w. Does 14 divide y?
False
Let a(z) = 5*z**2 - z + 1. Let f be a(5). Let c be (-6 - (-451 + 3))/(-2)*-1. Let y = c - f. Is 10 a factor of y?
True
Let l(i) = i**2 + 29*i + 152. Suppose -2*z + 159 = 227. Is 7 a factor of l(z)?
True
Suppose 146*q - 210*q + 428736 = 0. Is 3 a factor of q?
True
Let q(n) = 2*n**3 + 13*n**2 - 5*n - 5. Let h be q(-9). Let w = h - -575. Is w a multiple of 42?
True
Suppose -7*v + 3*v + 5*k = -12, 3*k + 10 = v. Let w be 4/8 + (-11)/v + 3. Suppose -w*a + 447 + 75 = 0. Is 29 a factor of a?
True
Suppose -9*i + 0 = -0. Let y be i/14 - (-1 - 0). Is 13 a factor of -93*-2*y/6?
False
Is 15 a factor of 1/((-3)/60)*(-28026)/216?
True
Let y(z) = 60*z**2 + 25*z + 100. Is y(-4) a multiple of 4?
True
Let p(n) = -n + 1. Let w be p(-2). Suppose 2*a = -o - 2 + 12, 2*a - 10 = w*o. Suppose 3*j + 3*q - 157 - 149 = 0, 4*q + 501 = a*j. Is j a multiple of 8?
False
Let j(c) = -2*c**3 + 9*c**2 - 4*c + 4. Let x be j(4). Suppose -5*z + 354 = x*f, 4*f + 1 - 5 = 0. Suppose k = -3*r + 28, -2*k - 22 = 5*r - z. Is 4 a factor of r?
True
Is (48/(-18))/(8/(-1902)) a multiple of 57?
False
Let f(m) be the third derivative of m**5/60 - m**4/12 + m**3/3 - 10*m**2. Let c be f(9). Let q = -17 + c. Is q a multiple of 4?
True
Suppose 5*u - 103 + 115 = -c, 2*u = 6. Let b be (1 - (2 + -2)) + 2. Let z = b - c. Does 6 divide z?
True
Let i(q) be the third derivative of 7*q**5/40 - 11*q**4/24 + 3*q**3 + q**2. Let a(d) be the first derivative of i(d). Is a(6) a multiple of 39?
False
Let a(t) = 2*t**2 - 52*t + 330. Is a(30) a multiple of 5?
True
Let o = 120 + 9384. Is o a multiple of 51?
False
Let s(k) be the second derivative of 13*k**3/3 + 28*k**2 - 33*k. Is 48 a factor of s(20)?
True
Let m(s) = -s**3 + 6*s**2 + 16*s + 4. Let l be m(8). Suppose -5*g + 231 = 3*k, 2*g - 308 = -l*k + 6*g. Is k a multiple of 7?
True
Let y(l) = l**2 - 4*l. Let v = -27 + 30. Suppose v*i - 35 = -5. Is y(i) a multiple of 10?
True
Let v(t) be the third derivative of 2*t**6/15 + t**5/15 - t**4/6 + t**3/6 - 6*t**2. Let g be v(1). Suppose -16*s + g*s = 77. Is s a multiple of 21?
False
Let g(v) = -v**3 + 10*v**2 - 9*v - 9. Let m(p) = 14*p**2 - p + 22. Let s(w) = -5*w**2 - 7. Let c(l) = 6*m(l) + 17*s(l). Let a be c(-7). Is 22 a factor of g(a)?
False
Let h be 0/129 + (-6)/(-2). Suppose -3195 = -3*b + 645. Suppose -h*t + b = 5*t. Does 20 divide t?
True
Is 26 a factor of (-260)/15*(-11 - (11 - -140))?
True
Suppose 16*u - 744761 + 15500 = -104429. Is u a multiple of 113?
False
Let j = -4 - -2. Let b(l) = l - 163 + 86 + 0*l**3 + 76 - l**2 - 9*l**3
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.4
0.16448
-0.004*-4652
18.608
What is the product of 0.5 and 20.2279?
10.11395
7 times 388011
2716077
Multiply -19727 and 14.
-276178
What is the product of -0.77 and -4.52?
3.4804
Calculate 0.4*21.5.
8.6
Calculate 0.3*-6410.
-1923
-37 times 93
-3441
-0.3 * 0.0543706
-0.01631118
31 times 19228
596068
Multiply -8777 and -138.
1211226
What is the product of 3304 and -0.12?
-396.48
Work out 4 * -10595.
-42380
-279352 * 0.6
-167611.2
Product of 531 and 0.0956.
50.7636
Multiply -7091 and 0.1.
-709.1
746 times -0.2028
-151.2888
-1 times -1.8658
1.8658
78.7 times 8.8
692.56
0.2*195
39
What is -0.2 times -395779?
79155.8
Multiply 1213848 and -0.3.
-364154.4
What is -0.56214 times -3.1?
1.742634
Product of -1230.6 and 90.
-110754
0 * -0.226052
0
Multiply 12 and 0.33559.
4.02708
Multiply -956 and 0.16.
-152.96
Multiply -17003 and -0.3.
5100.9
-1*1.48538
-1.48538
Calculate -20*720.
-14400
Multiply 3 and -18381.
-55143
Work out -6 * -128026.4.
768158.4
Work out 0.5 * 11840.
5920
17851*-58
-1035358
What is the product of -0.05 and 45817?
-2290.85
Multiply 407 and -3.85.
-1566.95
What is 7.8 times -179.91?
-1403.298
0.05017 * -4
-0.20068
Calculate 191.8*171.
32797.8
3 * -0.66782
-2.00346
-879 * -0.546
479.934
-0.25 * 11938
-2984.5
-4*-16.072
64.288
Calculate 752*-110.
-82720
Multiply 0.0763698 and -2.
-0.1527396
1.1042 * -2.1
-2.31882
-1 times 24382
-24382
What is the product of 98.7 and -907?
-89520.9
-285 times 0.24
-68.4
Work out -0.4 * 908714.
-363485.6
What is the product of 9 and -185091?
-1665819
Calculate 0.11296*-2.
-0.22592
Work out 2 * -0.44569.
-0.89138
Product of 1726.28 and -5.
-8631.4
What is the product of -0.5 and -1080.1?
540.05
Calculate 5*1591.3.
7956.5
Work out -133244 * -0.1.
13324.4
Product of -5 and 0.60293.
-3.01465
What is the product of -8.9618 and 0.5?
-4.4809
-521784 times -3
1565352
Multiply -178396 and -0.1.
17839.6
What is 4 times -645.2?
-2580.8
-5 times -0.40911
2.04555
Product of 19 and -1748.7.
-33225.3
What is the product of -565 and -1722?
972930
What is 7 times 4978.9?
34852.3
Multiply -424279 and -5.
2121395
Work out 299.9 * -2.
-599.8
Product of 10114 and 1.
10114
0.06205 times 14
0.8687
Multiply -2.6 and 20275.
-52715
Calculate -24.65*1709.
-42126.85
Product of 0.7 and 18804.
13162.8
-0.02 times 156648
-3132.96
Work out 1.7 * -21.01.
-35.717
Work out 149314 * 0.5.
74657
Work out -0.018765 * 1.
-0.018765
Multiply 0.79 and 4.52.
3.5708
Work out -452 * 206.
-93112
Work out 2.08 * 4.371.
9.09168
-26 * -5906
153556
-269075 times 1
-269075
Calculate -0.0067087*0.4.
-0.00268348
0.35545 * 0.1
0.035545
Work out 0.49 * -22.2.
-10.878
Calculate 0.054*1386.
74.844
What is -4 times -1796?
7184
Product of -52.922 and 1.
-52.922
Calculate -4*1.6023.
-6.4092
Multiply -243 and 14.5.
-3523.5
602 * 100
60200
What is -1.8 times 823.3?
-1481.94
What is -11719 times 55?
-644545
1 times -1160984
-1160984
Product of -74 and -724.
53576
What is -506 times 338?
-171028
Work out -3007 * 127.
-381889
Product of -51.9 and 1.805.
-93.6795
Calculate -0.0406*85.
-3.451
-125 * -8.1
1012.5
-0.06*83.07
-4.9842
Calculate -8190*18.
-147420
What is the product of 922 and 71?
65462
-0.9 times 0.050731
-0.0456579
What is 2770261 times -1?
-2770261
Work out -0.3 * 94.
-28.2
What is 0.2 times 8.2331?
1.64662
Product of -6.73 and 20.26.
-136.3498
Calculate -24830*-1.
24830
-0.1242*-9.8
1.21716
Calculate 582.675*3.
1748.025
-3*-40.936
122.808
-2450*0.15
-367.5
Multiply 1 and 264980.
264980
Calculate -2*139442.
-278884
-21360 times -0.2
4272
67 * -16.36
-1096.12
Product of -389 and -185.
71965
Product of -7.05 and -90.
634.5
-7 * 11483
-80381
0.482*460
221.72
What is -5 times 7501?
-37505
-5273122 times -0.5
2636561
Calculate -0.1*4519.
-451.9
Product of 2 and 52389.
104778
Work out 0.4818 * -16.6.
-7.99788
What is -1.53329 times 5?
-7.66645
Product of 57007 and 5.
285035
-5.574 times 1.62
-9.02988
Calculate 4.54*23.
104.42
What is 1184 times -5111?
-6051424
27037 * 0.1
2703.7
What is the product of -120 and 79?
-9480
What is -38618 times 0?
0
1205.5 times 5
6027.5
Calculate 10.4*1858.4.
19327.36
2496.2 times -3
-7488.6
What is the product of -0.7 and 133094?
-93165.8
What is 0.03 times 542.9?
16.287
Multiply -55 and 0.26.
-14.3
What is -0.099
|
{
"pile_set_name": "DM Mathematics"
}
|
5*a - i = 0, -3*b + 7*a = 10*a + 3 for b.
-3
Let c be (-25)/(-7) - 6/(-84)*6. Let i be (c - 5)/(2/(-2))*1. Solve 2*t - i = x, -4*x + 28 = 4*t + 8 for x.
3
Suppose 34*b = 47*b + 312. Let k be ((-19)/((-57)/b))/(-4 - -2). Solve k*p = u + 19, 3*p - 3 = 3*u + 9 for u.
1
Let a(c) = -2*c**3 + 42*c**2 + c + 40. Let o be a(21). Suppose 231 - o = 10*y. Solve y = -5*m + 5*q - 18, 2*m + 3*q = -4 for m.
-5
Let b(w) = 11*w - 53. Suppose -32 = 9*u - 77. Let z be b(u). Solve 4*q + j = 2, -z*q + 6*q - j - 6 = 0 for q.
1
Suppose -4*k + 5 = -19. Let s(a) = a**2 - 5*a - 1. Let g be s(k). Let b = -9 + 13. Solve 3*z - 4*x - 11 = -0*x, g*z - b*x = 5 for z.
-3
Suppose 78*c + 210*c = 612 + 252. Solve -h - 5*g = -18 + 7, 5*g = -3*h + c for h.
-4
Let f be (-415)/(-10) + (-1)/(-2). Let v(l) = 2*l**3 - 18*l**2 - 25*l + 11. Let d be v(10). Let k = d + f. Solve 0 = -t + 2*r - 9, 20 = k*t + 2*t + 3*r for t.
1
Let l be 34/((((-36)/66)/(-3))/(8/88)). Solve j - 11*k = -13*k + 1, 0 = -7*j - 2*k - l for j.
-3
Let f = -14 + 26. Suppose 26 = 21*o - 58. Suppose -q = -4*g + 17, 4*q - q + 11 = 4*g. Solve -f = -o*s - 3*z + 4*z, q*z = -s + 3 for s.
3
Let k be (-2)/7 + (-1035)/(-21). Let p(m) = m**3 + 5*m**2 - m - 12. Let f be p(-5). Let i be (2/f + (-35)/k)*-1. Solve 4*l = q - i - 8, -l = 4*q - 19 for l.
-1
Suppose 1013*u = 1003*u + 50. Solve -4*s = 3*w, -u*s + 0*w = -w for s.
0
Suppose 3*g + 4*x - x - 21 = 0, -2*x = -3*g - 4. Let f be (g/1)/(1 + 1). Let l = 4 + -4. Solve -4*z + 24 = 4*y, l = -z - 2*y + f + 7 for z.
4
Let x be ((-24)/(-18))/(4/9). Let y(u) = -9*u + 28. Let j be y(x). Suppose 5*g + p - 4*p = 18, 0 = g + 4*p + j. Solve -g = 2*r + n, 8 = -4*r - 0*r - 4*n for r.
-1
Let a = 177 + -175. Let f be 68/(-6)*3/(-2) + 0. Let q = 11 + -7. Solve x - f = q*c - 9*c, -a*x + c + 1 = 0 for x.
2
Suppose -5*c - s + 15 = 0, 2*c + 225*s = 228*s + 23. Solve -c*v + 25 = -5*r, 3*v + 3*r + 2 = -13 for v.
0
Let n be (7 + -6)*(-1 - -1*14). Suppose 0 = -w + 2*p - 1, 5*w - n = 3*p + p. Suppose 3*f = w*f - 8. Solve -5*k - 6 = 4*g - f, -4*k = g + 6 for g.
2
Let r(y) = 10*y**3 + 60*y**2 + 4*y + 34. Let i be r(-6). Solve 0 = 3*k - 2*a - i, 4*a + 10 = -49*k + 50*k for k.
2
Suppose -5*q = 25, -5*y - 92*q + 90 = -96*q. Solve -12*w - 6 = -m - 11*w, 5*w = m - y for m.
4
Let t(g) = g**3 - g**2 - 75*g + 157. Let y be t(2). Solve 79*d - 76*d + 7 = -5*o, o = -3*d - y for d.
-4
Let r = -297 + 302. Let x be (-2)/8 - 338/(-8). Suppose -4*t + x + 1 = -5*s, 6 = -2*s. Solve -i + 1 = -3*d + t, r*i - 8 = -4*d for d.
2
Let r = -106 + 156. Suppose -2*l + 3*g + 12 = -0*g, l = 5*g + 6. Suppose l + r = 8*c. Solve -3*j - 35 = 4*t - c, -12 = 3*j for t.
-4
Suppose 4*x - 8*x = 5*s - 19, -x - 3*s + 3 = 0. Solve 23*j + 12 = 27*j, n - 3*j = -x for n.
3
Suppose 11*l = 2*j + 13*l, 5 = -3*j - 4*l. Solve -4*a - z = -3*a - j, 4*a = z + 15 for a.
4
Let w(u) = -92*u + 98. Let t be w(1). Solve -4*j = -3*o - 8, -t*j - o + 8 = -2*j for j.
2
Suppose 29*x - 200 = 19*x. Suppose -4*s = 2*h, 3*s = 4*h + 9 - x. Solve 0*a + 2*w + 6 = -a, 0 = -h*w - 6 for a.
0
Let u = -2 + -1. Let k = u - -7. Let s be 8*((-105)/(-40) - (0 + 2)). Solve s*i - n = -20, -k = i - 0*n - 2*n for i.
-4
Let c be 6/4*(-270)/(-81). Suppose 5*t - 2*d - 78 = 0, -43 = -36*t + 33*t + c*d. Solve 0 = -5*x + 5*q + 9 - 4, t = x - 4*q for x.
-4
Let b(n) = 10*n**3 - 341*n**2 + 31*n + 119. Let k be b(34). Solve -k = -5*x - 4*m, -107*x = -111*x - m + 7 for x.
1
Let g be (8 - 29/4)*4. Solve -g*a - 1 + 5 = -4*r, 3*a - 1 = r for r.
-1
Suppose 5*h = 42*i - 47*i + 25, 0 = -3*i + 6. Solve 0 = h*b - 3*f, b - 5*b - 3 = -3*f for b.
-3
Let k(o) = o**3 + o**2 - 31*o + 9. Let d be k(5). Solve 10 = -3*b + 52*c - 53*c, 4*b = d*c + 8 for b.
-2
Let v(i) = i + 2. Let t(c) = 38. Let h(w) = 3*t(w) + 6*v(w). Let z be h(-21). Solve -2*d = -5*r + 7, -4*d = 4*r - z*d for r.
1
Let w(l) = l**2 - 4*l + 3. Let j be w(4). Suppose -5*v
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose 2*x - 5*h - 13 = 23, 2*h - 24 = -4*x. Suppose j + x = -j. Sort -0.2, j, u in ascending order.
j, -0.2, u
Suppose 0 = v - 5*v + 132. Let r be (-2 - (-237)/v) + 2/(-11). Sort 8, r, -2/5, -4 in ascending order.
-4, -2/5, r, 8
Let a(d) = 10 - 13*d + 4*d - 11*d**2 + 4*d**3 + 6*d**3 - 11*d**3. Let b be a(-10). Let k be ((-8)/(-12))/((-2)/15). Sort -2, b, k in ascending order.
k, -2, b
Suppose -4 = 4*t - 4*v, 4*t + 13 = -0*t + v. Suppose -k + 13 = -5*b, 3*b - 2*k = k - 15. Put 0, b, t in ascending order.
t, b, 0
Let a = -222 - -221. Sort a, 13, -5, 4 in ascending order.
-5, a, 4, 13
Let a be (1 + -1)/(-3 + 1). Let g = 4 - a. Sort 0.14, g, 5 in ascending order.
0.14, g, 5
Suppose -6*m = -376 + 490. Put 2, m, -5 in increasing order.
m, -5, 2
Let t be 4/(208/(-155)) - -3. Let u = t + -107/156. Put -0.7, u, 0 in ascending order.
-0.7, u, 0
Suppose 128*s = 123*s + 5*v + 10, -5*v = -3*s + 14. Put -3, -4, s, 2 in decreasing order.
2, s, -3, -4
Let n(u) = u**2 + 5*u + 7. Let b be n(3). Suppose 5*v + 14 + b = 4*y, 4*v = -4*y. Sort 4, 1, -2, y in decreasing order.
y, 4, 1, -2
Let l be 17/(-3) + (-35)/(-7). Put 0.2, -1/26, l in decreasing order.
0.2, -1/26, l
Let r(v) = -3*v**2 - 27*v + 2. Let i be r(-9). Sort i, -4, 1, -3 in decreasing order.
i, 1, -3, -4
Let i(y) = -y**2 - 6*y - 6. Let z be i(-4). Let s = 126 + -87. Suppose -13*k = -0*k + s. Put 0, z, k in descending order.
z, 0, k
Suppose 3*m + 9 = 0, -6 = 2*k - 0*m + 4*m. Put k, 0, 5, -6 in decreasing order.
5, k, 0, -6
Let b(k) = -k**2 - 4. Let l be b(-2). Let v be 0 + -2 - (l + (12 - 4)). Sort 6, v, 5, -1 in descending order.
6, 5, -1, v
Let a = 0.1472 + -0.0472. Sort 3/2, a, -0.09, 3/4 in ascending order.
-0.09, a, 3/4, 3/2
Let u = 1 - -8. Suppose 3 = 3*a - u. Suppose -a*s + 57 = 4*k - 3, -s = 1. Put -5, k, -2 in increasing order.
-5, -2, k
Let r be 10/4 - (2 + 0). Let u be (-20)/(-80) + 22/8*1. Put r, -0.06, u, -1 in descending order.
u, r, -0.06, -1
Let b(s) = -s**3 + 5*s**2 - 4*s - 5. Let x be b(4). Let i = -8 + x. Let m = 14 + i. Put m, -3, 3 in descending order.
3, m, -3
Let i = 4 + 1. Suppose -h + 0 = i. Let y be 2 - (h - (-4 - -2)). Sort 2, 4, y in increasing order.
2, 4, y
Let w be ((-840)/(-224))/(3/16). Put -2, 7, w in increasing order.
-2, 7, w
Let s be 4 + ((-1)/(-1) - 8). Let p be (-5)/4*(-8)/2. Sort s, p, -4 in descending order.
p, s, -4
Let w = 292 + -872/3. Put -88, w, 2/11 in decreasing order.
w, 2/11, -88
Let v = -1509/4 + 376. Put -2/9, 139, v in ascending order.
v, -2/9, 139
Let u = -3161 + 2270. Put u, 3, 2, -2 in decreasing order.
3, 2, -2, u
Let z(w) = -w**2 + 22*w + 51. Let c be z(12). Let m = c - 170. Let v be (-3)/(-9) - (-32)/(-6). Sort 0, v, m.
v, 0, m
Let u be -3*((-12)/9 - 2). Sort 0, u, -3 in increasing order.
-3, 0, u
Let i(x) = -x**3 - 14*x**2 - 34*x - 14. Let f be i(-11). Sort 5, f, -22 in decreasing order.
5, f, -22
Let d = 1.655 + -0.655. Put -5, 14, d in descending order.
14, d, -5
Let c = -21.2 + 21. Let x = 114 + -123. Sort 2/13, x, c in decreasing order.
2/13, c, x
Let r = -4 + 2. Let j be (-2)/(15 - -1)*(6 + -4). Sort j, r, -4 in ascending order.
-4, r, j
Let w(v) = 1 - 7*v + 2 + 9*v. Let c be w(-5). Let x = c + 5. Sort x, -0.2, -1 in ascending order.
x, -1, -0.2
Let x = -30 - -13. Let l = x - -18. Let a = -2.9 + 3. Sort l, -3/7, a in descending order.
l, a, -3/7
Suppose -5*l = 5*r + 30, r + 3*l - 13 = -27. Put -3, r, -43, 0 in descending order.
0, r, -3, -43
Let p = 2 - 2. Let d = 725 - 726. Let s = 0.9 - 1. Sort p, s, d in increasing order.
d, s, p
Let j = 625 - 622. Put j, 53, -1 in descending order.
53, j, -1
Let n = 67.9705 + -0.0405. Let i = n - 68. Put -1/7, i, -2 in descending order.
i, -1/7, -2
Let w(u) = -3*u - 11. Let q be w(-4). Sort 4, 5, -4, q in decreasing order.
5, 4, q, -4
Let b(u) = u**3 - 16*u**2 + u - 18. Let n be b(16). Let t = 476/3 + -160. Put 3/2, t, n, 2 in ascending order.
n, t, 3/2, 2
Let n = -0.453 + 0.253. Let j(f) = -6*f**3 + 2*f**2 - 1. Let l be j(1). Sort 2/5, n, l.
l, n, 2/5
Let r be (4/(-39))/((-6)/9). Let g = -4049/5 - -810. Let l be (-2)/(-16) - 2/8. Put r, g, l in descending order.
g, r, l
Let z(f) be the third derivative of -f**5/60 + f**4/3 - 4*f**3/3 + f**2. Let a be z(4). Let y be -1*(3 - a/3). Sort -2, 0.2, y in increasing order.
-2, y, 0.2
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
9
Let k(v) = 49*v**2 - v + 44. Calculate the smallest common multiple of 10 and k(-9).
20110
Suppose -3*v + 960 = -3*n + 5*n, 0 = 5*v - 10. Suppose -24*z = -243 - n. Calculate the lowest common multiple of 55 and z.
330
Find the common denominator of 101/396 and 17 + -19 + -5 - 237/(-24).
792
Let l be 2/(-8) + 159/(-4). Let k = l + 41. Calculate the common denominator of (-267)/126 + k*2/3 and -127/12.
84
Calculate the common denominator of ((351/84)/(-39))/((-4)/(-182)) and 71/980.
1960
Let g be (4762/33)/(12/288). Let x = g + -3466. Calculate the common denominator of -4/5 and x.
55
Let q be 6/(-9)*(-3972)/8. Let t = 335 - q. Calculate the lowest common multiple of 22 and t.
44
Let k(d) = -d - 2. Let v be k(4). Let f = v + 11. Let u = -1216 + 1217. What is the least common multiple of u and f?
5
Let l be (-2)/8 - ((-296)/32 - -6). Suppose 3*h + 0 + 6 = 0, -52 = -l*g + 5*h. Calculate the least common multiple of g and 88.
616
Let h = -1311 - -675. What is the common denominator of -41/8 and ((-1)/(-168))/(9/h)?
504
Let m = 588/5 - 3043/30. Calculate the common denominator of 137/1014 and m.
1014
Let w = 190937 - 84775907/444. What is the common denominator of 43/9 and w?
1332
Suppose 0*h - 5*h = -r - 4211, h = -2*r - 8477. Let u = 42427/10 + r. Calculate the common denominator of 79/10 and u.
10
Calculate the least common multiple of 27 and ((-6)/75)/(20/(-62950)) - 2/(-10).
756
Calculate the common denominator of (-43580)/(-16104) + (-200)/75 and -13/732.
8052
Suppose 8*c = -295 + 55. Calculate the common denominator of 329/c + (-2)/6 and ((-226)/(-6))/((-760)/(-6)).
380
What is the least common multiple of (4/40*-18)/((-33)/1485) and 81?
81
Let t = -3408 + 3432. What is the smallest common multiple of 72 and t?
72
Let k = 15567/8 - 194547/100. Find the common denominator of k and -37/550.
2200
Suppose -8*q + 12 = -2*q, -4*k = 5*q - 26. Calculate the common denominator of 2/k*1363/87 and 23/12.
12
Let z be (6/(-9))/((-8)/60). What is the lowest common multiple of ((-2)/7)/((-150)/35 + 4) and (-228)/(-20) + (-2)/z?
11
Let q(l) = -l**3 + 31*l**2 - 23*l - 70. What is the lowest common multiple of 224 and q(30)?
1120
Let j = 3286969/5159565 - 1/38219. What is the common denominator of j and 85/42?
1890
Find the common denominator of -57/55754 and (2/21)/((-40)/7910).
167262
Let j = 8379 + -7874. Calculate the least common multiple of j and 909.
4545
Let u = -97 - -103. Suppose 2*b - 40 = -3*y, -y = -u*y + b + 58. What is the lowest common multiple of 8 and y?
24
Let v = -1988804714/440847 + 3029905/671. Let n = v - -1/657. Calculate the common denominator of n and (-118)/(-767) - 905/52.
44
Suppose 196*z + 84*z = 95480. Calculate the lowest common multiple of z and 775.
8525
What is the common denominator of -7 - (73/(-1752))/((-8)/(-1357)) and -37/704?
2112
Let a(t) = -t**3 + 46*t**2 + 56*t - 421. What is the smallest common multiple of 7 and a(47)?
14
Let l = 8248/9 - 917. Calculate the common denominator of l and 29/(-51) - (-6 - -6).
153
Suppose -2*k = 3*o - 13, 5*k = o - 6*o + 25. Calculate the common denominator of (-33)/22*110/(-6) and 280/16*(5/k)/(-5).
4
Let l be 1776/(-590) + 4 + -1. Let i = l + 10957/4130. Find the common denominator of i and -91/6.
42
Let b = -15004/285 - 3795077/5320. Let k = -5332/7 - b. Calculate the common denominator of -57/8 and k.
24
Let r = -5505 - -5784. What is the smallest common multiple of r and 93?
279
Let o = -203 - -188. What is the lowest common multiple of 3 and 5/(-15)*o*(1 - 0)?
15
Calculate the common denominator of ((-11)/10)/((-6)/4) and (-15*68/1275)/((-78)/110).
195
Let o(i) be the third derivative of 17/24*i**4 + 0*i + 14*i**2 - 2 - 5/3*i**3. What is the lowest common multiple of o(2) and 30?
120
Calculate the lowest common multiple of 60 and 79128/92 + 86/(-989).
2580
Let f(n) = -n**3 - 46*n**2 + 108*n - 1878. Let j(y) = -24*y + 3. Calculate the smallest common multiple of f(-49) and j(-3).
825
Suppose -18*u = -10183 + 841. What is the smallest common multiple of u and 30?
5190
Let o be (10824/15)/(-11)*30/(-4). Calculate the common denominator of 121/60 and (60/1500)/(o/245 - 2).
60
Let b = -4654 + 4657. Calculate the lowest common multiple of 1056 and b.
1056
Suppose 16*w = -h + 19*w - 14, -22 = -2*h - 4*w. Suppose 7*b = 3*b - 5*n - 63, 5*n - 21 = 3*b. What is the common denominator of ((-28)/32)/(h/b) and 67/22?
22
Suppose -5*x + 37144 = 3*n, 2*n = x - 4059 - 3362. Calculate the common denominator of -40/9 and 2/(-11) + (-5 - x/(-2310)).
90
Let d = 574391 - 178486. Let h be 1 + d/(-70) + 1. Let w = 5650 + h. Calculate the common denominator of 119/12 and w.
84
What is the common denominator of ((-9031)/132 - -6)*24/84 and 44/4041?
8082
Let m = 38/4121 + 444173/543972. Calculate the common denominator of m and (-290)/216 - (-1 - 0).
1188
Let b be 0 - (-4 + -2) - -17. Let u be 2/3 + (-8)/12. Suppose 3*y - 3*t = -3, 4*t + 3 - b = u. What is the least common multiple of 21 and y?
84
Let h = 161/5611 + 298318749/44888. Let u = h - 6635. Calculate the common denominator of (30/188)/(1/3) and u.
376
Let a = 15474 + -15420. What is the least common multiple of a and 270?
270
Let w = -158924 + 6993339/44. Let h = -71/4 + w. What is the common denominator of h and 4*1 - (-855)/(-126)?
154
Let q be 1/(-3) + 1496/24. Suppose 55*w + 70 = q*w. Let o(r) = -r**2 + 6*r - 2. What is the smallest common multiple of o(4) and w?
30
Let w be 10*(13/(-2) - -5). Calculate the common denominator of 91/12 and (2/w*7)/((-23)/(-69)).
60
Let b = 44391/21448910 - -3/16
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 1520*m - 13383
What is the q'th term of 30454, 58417, 86380, 114343, 142306?
27963*q + 2491
What is the t'th term of -539000, -2156012, -4851032, -8624060, -13475096, -19404140?
-539004*t**2 + 4
What is the p'th term of 2571487, 10285928, 23143327, 41143684, 64286999, 92573272, 126002503?
2571479*p**2 + 4*p + 4
What is the k'th term of 56638, 113171, 169696, 226207, 282698?
-k**3 + 2*k**2 + 56534*k + 103
What is the k'th term of 12201, 24467, 36749, 49047, 61361?
8*k**2 + 12242*k - 49
What is the k'th term of -2665139, -2665089, -2665029, -2664959?
5*k**2 + 35*k - 2665179
What is the s'th term of 91892, 183033, 274174, 365315?
91141*s + 751
What is the r'th term of 193303, 193300, 193297, 193294, 193291?
-3*r + 193306
What is the v'th term of -238852, -477709, -716574, -955447, -1194328?
-4*v**2 - 238845*v - 3
What is the r'th term of -2691, -8511, -17463, -29547, -44763?
-1566*r**2 - 1122*r - 3
What is the x'th term of -2242994, -2242986, -2242966, -2242928, -2242866, -2242774, -2242646?
x**3 + x - 2242996
What is the l'th term of 396251, 396283, 396317, 396353?
l**2 + 29*l + 396221
What is the q'th term of -28349, -28656, -28963?
-307*q - 28042
What is the y'th term of -63671, -63656, -63631, -63596, -63551?
5*y**2 - 63676
What is the u'th term of 1125, 10446, 35763, 85074, 166377?
1333*u**3 - 10*u - 198
What is the d'th term of 531291, 531255, 531219?
-36*d + 531327
What is the b'th term of 5826, 11752, 17724, 23748, 29830, 35976?
b**3 + 17*b**2 + 5868*b - 60
What is the w'th term of 5943, 23739, 53371, 94839?
5918*w**2 + 42*w - 17
What is the i'th term of -3645, 3980, 24681, 64998, 131471, 230640?
1090*i**3 - 2*i**2 + i - 4734
What is the p'th term of -187, -606, -927, -826, 21, 1938, 5249, 10278?
54*p**3 - 275*p**2 + 28*p + 6
What is the s'th term of -100677, -201869, -304069, -407781, -513509?
-84*s**3 - 100604*s + 11
What is the a'th term of 5676, 5978, 6326, 6744, 7256, 7886?
4*a**3 - a**2 + 277*a + 5396
What is the w'th term of 2518, 8040, 16568, 28102, 42642?
1503*w**2 + 1013*w + 2
What is the g'th term of 223791, 447843, 671893, 895941, 1119987?
-g**2 + 224055*g - 263
What is the c'th term of -152522, -152529, -152536, -152543, -152550?
-7*c - 152515
What is the s'th term of 378, 772, 1278, 1896?
56*s**2 + 226*s + 96
What is the l'th term of -795862013, -1591724027, -2387586041?
-795862014*l + 1
What is the i'th term of 53634003, 53634001, 53633999, 53633997, 53633995, 53633993?
-2*i + 53634005
What is the q'th term of 7048600, 7048605, 7048610?
5*q + 7048595
What is the y'th term of -271, -182, 89, 632, 1537, 2894, 4793?
15*y**3 + y**2 - 19*y - 268
What is the s'th term of 251996, 503756, 755516, 1007276, 1259036?
251760*s + 236
What is the t'th term of 18354, 73568, 165610, 294480, 460178?
18414*t**2 - 28*t - 32
What is the t'th term of 37390487, 74780988, 112171489, 149561990, 186952491?
37390501*t - 14
What is the g'th term of -48832050, -97664106, -146496162?
-48832056*g + 6
What is the t'th term of 4724, 9488, 14322, 19226?
35*t**2 + 4659*t + 30
What is the i'th term of -2510637, -5021275, -7531913, -10042551?
-2510638*i + 1
What is the f'th term of -52040, -52110, -52194, -52298, -52428, -52590, -52790?
-f**3 - f**2 - 60*f - 51978
What is the h'th term of 521686, 521692, 521700, 521710, 521722, 521736, 521752?
h**2 + 3*h + 521682
What is the q'th term of -7449, -9659, -11867, -14073, -16277, -18479?
q**2 - 2213*q - 5237
What is the y'th term of -359565, -719140, -1078715, -1438290, -1797865, -2157440?
-359575*y + 10
What is the i'th term of -643, -1075, -1361, -1507, -1519, -1403?
-i**3 + 79*i**2 - 662*i - 59
What is the d'th term of 308240, 307784, 307326, 306866?
-d**2 - 453*d + 308694
What is the w'th term of -730, -1552, -2464, -3466?
-45*w**2 - 687*w + 2
What is the f'th term of 474616, 1898755, 4272418, 7595605, 11868316, 17090551?
474762*f**2 - 147*f + 1
What is the d'th term of 25640, 25549, 25414, 25235?
-22*d**2 - 25*d + 25687
What is the z'th term of -472, -400, -296, -166, -16?
-z**3 + 22*z**2 + 13*z - 506
What is the j'th term of -91215, -91258, -91301, -91344?
-43*j - 91172
What is the s'th term of 21795, 27242, 36319, 49026, 65363, 85330, 108927?
1815*s**2 + 2*s + 19978
What is the f'th term of 10786200, 21572409, 32358628, 43144863, 53931120, 64717405?
f**3 - f**2 + 10786205*f - 5
What is the w'th term of 2267, 4432, 6599, 8762, 10915, 13052, 15167?
-w**
|
{
"pile_set_name": "DM Mathematics"
}
|
(-8)/(-10) - 3/(-15). Let a(q) = 2 + 4*q + q**2 + s + 2. What is a(-5)?
10
Suppose 4 = 4*d + 4*l, -4*d - 5*l + 3 - 4 = 0. Let k(y) = y**3 - 7*y**2 + 8*y - 7. Determine k(d).
5
Let d(z) = z - 1. Suppose 2*m = 3*k - 64, 0*m - 3*m = 3*k - 84. Let q = k + -22. What is d(q)?
1
Let g(k) = 2*k**2 + 5*k**2 - 6*k**2. Let z be g(-1). Let c(m) = m**3 - m + 1. What is c(z)?
1
Let g be -7 + 14 + (0 - 3). Suppose 5 = -g*r + 3*r. Let f(p) = -p - 1. Determine f(r).
4
Let r(m) be the third derivative of -m**5/30 - m**4/24 + m**3/6 + 7*m**2. Calculate r(2).
-9
Let v(j) = -3*j - 3. Let y(w) = -w + 1. Let t(m) = -2*v(m) - 6*y(m). Let i = 14 + -4. Suppose -4*r = 3*k - i, -5*r + 8*r + 5*k = 13. Give t(r).
12
Let s be 5 - 2 - (0 + 1). Let j(v) be the third derivative of v**5/120 - v**3/3 - 2*v**2. Let o(k) be the first derivative of j(k). Calculate o(s).
2
Suppose -4 = -2*t - 5*s + s, t + 4*s = 0. Let p(x) be the third derivative of -x**4/12 + x**3/6 - 2*x**2. What is p(t)?
-7
Suppose -6*k = -2*k - 112. Suppose 0 = 6*t - 4*t + 2*f - 16, 2*t - k = -5*f. Let l(n) = 0*n + t + 0*n + n - n**2. Determine l(4).
-8
Let s(p) be the first derivative of p**4/4 + p**3 - 5*p**2/2 - 13. Give s(-4).
4
Let t(c) = -c + 2. Let u(p) = p - 2. Let m(q) = -3*t(q) - 4*u(q). Give m(-3).
5
Let a = 117 + -123. Let j(d) = -d**3 - 6*d**2 - 2*d - 9. Determine j(a).
3
Let r(a) = -a**3 - 6*a**2 - 4*a + 7. Suppose 0 = -4*s + 3*s - 5. Give r(s).
2
Suppose -3*q + 15 = 2*z, -7*q = -3*z - 2*q - 25. Let r(a) = -3*a**2 + 3*a - 4. Let t(o) = -16*o**2 + 16*o - 21. Let c(d) = 11*r(d) - 2*t(d). Calculate c(z).
-2
Let n(y) = -y**3 + y**2 - 3*y + 3. Let g be n(1). Let m(k) = -k + 2. Give m(g).
2
Let d(n) = n**3 + 2*n**2 + 6*n. Let s(r) = -2*r**3 - 6*r**2 - 17*r + 1. Suppose 4*h - 28 = -q + 5*q, -h = 3*q - 11. Let m(g) = h*d(g) + 3*s(g). Give m(2).
5
Let p(h) = -h - 1. Let u(c) = c**2 - 1. Let j(a) = p(a) - u(a). Let d = 4 - 2. Suppose -12 = d*s + 2*s. Calculate j(s).
-6
Suppose 1 = -2*z + 5*k - 8, 4*z - 9 = k. Let y(x) = -x. Let t(l) = 1. Let n(r) = -2*t(r) - y(r). Calculate n(z).
1
Suppose 0 = 3*j - 3*u - 6, 3*j + 2*u - 24 = -u. Let i(v) = v**3 - 5*v**2 - 2*v - 3. Determine i(j).
-13
Let u(x) be the third derivative of 3*x**2 + 0*x + 0*x**3 - 1/60*x**5 + 0 + 1/8*x**4. Calculate u(4).
-4
Let n(l) = l**3 + 2. Let a = 11 - 13. Give n(a).
-6
Suppose 0*s - 2 = -s. Let y(l) be the first derivative of 1/3*l**3 - 1 + 3*l**s + l. Give y(-4).
-7
Let h be 1/1 + 9 + -9. Let b(x) = 11*x. Determine b(h).
11
Let k(r) be the third derivative of r**6/120 - r**5/12 - r**4/12 + r**3/2 + 8*r**2. Calculate k(5).
-7
Let w(u) = -2*u + u + 4*u. Let o(g) = g. Let y(i) = -7*o(i) + 2*w(i). What is y(-5)?
5
Suppose 2*p + 0*p = 0. Suppose 4*x + v = p, -8 = -4*x + 2*v - v. Let b(j) = 9*j - 1. Calculate b(x).
8
Suppose 3*m - 6 = -3*v, -v = 3*m + m - 8. Let j(h) = -6 - m*h + 13 - h + 5*h. Let x = 4 - 9. Determine j(x).
-3
Let c(m) be the third derivative of 0 + 3*m**2 - 1/12*m**4 + 0*m - 1/3*m**3. Let s(d) = -d + 2. Let u be s(5). Calculate c(u).
4
Let n(d) be the second derivative of 1/12*d**4 + 0*d**3 + 3*d + 0 - 1/2*d**2. What is n(-2)?
3
Let z(f) = f**2 - 4*f - 5. Let g(b) = -b**3 - 19*b**2 + b + 25. Let i be g(-19). What is z(i)?
7
Let d(u) be the second derivative of -1/20*u**5 - 4*u - 1/12*u**4 + 0 + 5/2*u**2 - 1/6*u**3. What is d(0)?
5
Let p(b) = -4*b - 11. Let x(d) = 5*d + 12. Let g(w) = 6*p(w) + 5*x(w). What is g(3)?
-3
Let i(x) = -1 + 83*x - 85*x - 4. Give i(-7).
9
Let z(r) be the first derivative of 2 + r - 1/3*r**3 - 2*r**2. Determine z(-4).
1
Let m(d) = -3*d. Let c be m(-2). Let g(p) = p**2 - 7*p + 5. Calculate g(c).
-1
Let g(h) = -5*h**3 + 3*h**2 + 5. Let k(i) = 14*i**3 - 8*i**2 - 15. Let o(v) = 11*g(v) + 4*k(v). Let d = 1 + -1. What is o(d)?
-5
Let t(j) be the first derivative of -1/4*j**4 + 4/3*j**3 - j + 1 + 0*j**2. What is t(4)?
-1
|
{
"pile_set_name": "DM Mathematics"
}
|
3095 = -t*b - 73. Is b composite?
False
Let l(f) = 29*f**2 + 25*f - 249. Is l(10) a prime number?
False
Suppose 6174 = h - 5*o - 5240, 5*o - 57160 = -5*h. Is h prime?
False
Suppose 392*p - 3*x - 823592 = 388*p, 3*x = -12. Is p composite?
True
Let q = 46384 + 13449. Is q prime?
True
Let s = 25 + -23. Suppose 2763 = -4*r - f + 369, s*f + 2991 = -5*r. Let c = r + 981. Is c a prime number?
False
Suppose 1227 + 6767 = 7*z. Suppose 40*i = 42*i - z. Is i/4 + (-8)/(-32) a prime number?
False
Let n = 1088904 + -738751. Is n prime?
False
Let z = -241937 - -362306. Is z prime?
False
Suppose -4*j = -8*j + 608. Let p = -338 + 340. Suppose -p*y + 12 = -j. Is y a prime number?
False
Suppose -18*f - 20*f - f = -844233. Is f a prime number?
True
Is 877*((-212)/(-4) - (-4 + 4)) prime?
False
Is 971866/35 + 1 + (-115)/25 + 5 a composite number?
True
Suppose 3*k - 2*t = -8491 - 3368, -15792 = 4*k + 4*t. Let u = k + 7730. Is u prime?
True
Suppose -3*a = 4*h - 145029, 240028 = 4*a + 3*h + 46649. Suppose 14*f - a = f. Is f a composite number?
False
Let w(q) be the third derivative of -q**4/24 + 29*q**3/6 - 19*q**2. Let x be w(25). Suppose -a = x*i - 5135, 2*a = -9*i + 10*i - 1295. Is i prime?
False
Suppose -2*u = -852*a + 856*a - 75822, u - 2*a = 37911. Is u composite?
True
Let w(s) = s - 14. Let p be w(19). Suppose -2*l + 2174 = p*x, -1747 = -3*x - x + l. Let k = x + -201. Is k prime?
False
Let o(m) = 2*m**2 + 11936 - 4*m - 6271 + 20434 - 11*m. Is o(0) composite?
False
Let p(z) = 4640*z + 36. Let i be p(8). Let j = i - 23321. Is j a prime number?
False
Let v be (-32)/20*(-15085)/14. Let r = 2631 - v. Is r prime?
True
Let w = -910617 - -2348478. Is w composite?
True
Let v(b) = b**2 - 7*b + 2. Let w be -2 + -4 + (-1 - -7). Let g be v(w). Suppose 3*m + 5300 = 3*x + 2*m, 0 = -g*m - 4. Is x prime?
False
Let a = -282281 + 458170. Is a a prime number?
False
Suppose 0 = 20*l - 15*l + 620. Let n = 126 + l. Is -4 + n - (-4216 + (-6)/(-2)) prime?
True
Let a be 94 - ((8 - 9) + (-3)/3). Suppose 0 = c - a - 403. Is c a prime number?
True
Suppose 0 = g - 13*j - 305265, 6*g + 915877 = 9*g + 2*j. Is g composite?
True
Let c(z) = -2*z**2 + 4*z**2 + 3*z + 39*z**2 - 7. Let r = -856 + 859. Is c(r) composite?
True
Let r = 825745 + -485034. Is r a composite number?
True
Suppose 5*l + 2*m = 111663, -2*l + 12*m - 7*m + 44671 = 0. Is l a prime number?
False
Suppose 5*f + 350400 = -15*f. Is 2/(7 - f/(-2503)) composite?
True
Suppose -6*i + 103 + 41 = 0. Suppose -9 = -2*o - h, 2*o - 5*h + i = 5*o. Suppose o*j = v + 3*v + 3101, 0 = 3*j - 2*v - 3091. Is j composite?
True
Suppose -32*l + 15*l + 9*l = -1603704. Is l a prime number?
False
Suppose -70495*q + 70493*q = -3969958. Is q prime?
True
Let a(x) = 209*x + 5. Let d be a(2). Suppose 4707 = 3*r - d. Suppose -226 + r = 4*g. Is g prime?
False
Suppose 0 = 8*m - 503219 - 423909. Is m a composite number?
False
Let x = 19 + -16. Suppose -x*m + f = -2848, m - 6*m + 5*f = -4730. Let s = m + -214. Is s a composite number?
True
Let g(k) = 169*k**3 - 2*k**2 + 159*k**3 + 174*k**3 - 12 - 165*k**3 + 13*k - 17. Is g(3) prime?
True
Let b(a) = 176*a - 2325. Is b(59) composite?
False
Let g = 786 - 1858. Let i = 1111 - g. Is i a composite number?
True
Let b(w) be the first derivative of -11*w**4/12 - 9*w**3/2 + 3*w**2/2 - 2. Let p(u) be the second derivative of b(u). Is p(-7) a prime number?
True
Let l(y) = 5*y - 47. Let s be l(9). Let c be s + 4/8*(0 - 0). Is (-1 + c - 2) + 300 a composite number?
True
Suppose 2*g - 3*o - 1629 = 0, -5*o + 7*o = 6. Let b = -512 + g. Is b a prime number?
True
Suppose 73 = 2*u - w, 96 = 2*u + u + 3*w. Is 717 + u/(-70)*(-3 + -1) a composite number?
False
Let m = -785724 - -1317005. Is m composite?
False
Let f = 475 - 473. Is (-4768085)/(-805) - f/23 composite?
False
Let p(c) = 182*c**2 + 14*c - 109. Is p(14) a prime number?
True
Suppose 16 - 28 = -6*s. Suppose -4*r - s*k + 24185 = r, 0 = -5*k. Is r composite?
True
Is (90955/120*16)/(1 - (-2)/(-6)) prime?
True
Suppose -31*f - 12202126 = -293*f. Is f prime?
True
Let m be ((-108)/16 - (-4)/(-16))/(-1). Suppose m*b = -2*w + 5*b + 2, 5*w + 2*b = 2. Suppose 4*t + w*t = 5276. Is t prime?
True
Suppose -30 = -2*n - 3*n. Let c(f) = 2 - n + 2 + 343*f. Is c(3) a prime number?
False
Is (-189)/(-42) + -4 + (-450493)/(-2) a prime number?
False
Let f = -554 - -4251. Is f composite?
False
Let x = 5898 + 8004. Suppose -j = -7*j + x. Is j prime?
False
Let z = 1662752 + -797071. Is z a prime number?
True
Suppose 18*t = 15*t + 342. Let a be (2/(-4))/((-19)/t). Suppose 0 = -4*i - v + 15, v + a = -i + 3*v. Is i a composite number?
False
Suppose 3*o + j - 323945 = -18095, 713645 = 7*o + 4*j. Is o composite
|
{
"pile_set_name": "DM Mathematics"
}
|
7
Solve -447 - 259 - 479 = -237*n for n.
5
Solve 0 = -30*v - 3621 + 1876 + 1955 for v.
7
Solve -90*u = -110*u + 20 for u.
1
Solve 477 = -113*i + 272*i for i.
3
Solve 0 = -26217*l + 26237*l + 260 for l.
-13
Solve 468*a - 3299 = 4189 for a.
16
Solve 2*i - 1022 = -125*i + 273*i for i.
-7
Solve 218*c - 4578 = -1308 for c.
15
Solve -97*o = 48*o + 295*o - 12760 for o.
29
Solve 340*c = 1854 - 1174 for c.
2
Solve -19*n - 8*n = 2*n - 261 for n.
9
Solve 1144*c - 94 = 1238*c for c.
-1
Solve -370 = -6*x - 400 for x.
-5
Solve 319*c - 842 = 75*c - 4502 for c.
-15
Solve -4*q + 32*q - 179 = 353 for q.
19
Solve -11105*i + 11118*i = 78 for i.
6
Solve -5*r - 20 - 7 = 3 for r.
-6
Solve 818 = -36*x + 1106 for x.
8
Solve -146*t + 257 = -35 for t.
2
Solve -1246 - 1228 = 38*h - 954 for h.
-40
Solve -41*q = 1448 - 669 for q.
-19
Solve 1408 = -72*f - 16*f for f.
-16
Solve -58050*x = -58095*x - 1170 for x.
-26
Solve 68*x + 76*x - 1008 = 0 for x.
7
Solve -3427*c + 289 = -3444*c for c.
-17
Solve 1174*a + 11477 = 5281 - 27850 for a.
-29
Solve -73*n + 25*n + 45 - 717 = 0 for n.
-14
Solve -18*u - 70 = -28*u + 20 for u.
9
Solve -116*s + 85*s - 1168 = 42*s for s.
-16
Solve -78*j + 121*j + 144*j + 4301 = 0 for j.
-23
Solve 0 = 5567*d - 5576*d - 153 for d.
-17
Solve -1094*r + 1042*r + 676 = 0 for r.
13
Solve 25*f + 0*f = 45*f - 100 for f.
5
Solve -107*g + 335 - 406 = 999 for g.
-10
Solve 5202 = -550*i - 3048 for i.
-15
Solve -44*p - 6*p - 33 = -133 for p.
2
Solve -23*o + 52*o - 67 - 136 = 0 for o.
7
Solve 11*r - 128 = 81*r + 152 for r.
-4
Solve 389*d - 379*d + 43 = 183 for d.
14
Solve 6*r - 46 = 33*r - 19 for r.
-1
Solve 100*r - 1466 = 945 + 789 for r.
32
Solve 1036*n - 28 = 1022*n - 210 for n.
-13
Solve 278*a - 16893 + 21341 = 0 for a.
-16
Solve 0 = -15*h - 21*h + 432 for h.
12
Solve -325 = 192*w + 635 for w.
-5
Solve 2142 = 681*x - 1193 - 751 for x.
6
Solve -4251 = 233*z - 290 for z.
-17
Solve 648*l + 16508 = -8116 for l.
-38
Solve 36*k = k - 206*k - 4097 for k.
-17
Solve 189 = 31*c + 344 for c.
-5
Solve -952 = -14*q - 105*q for q.
8
Solve -6*r + 113 = -19*r + 35 for r.
-6
Solve 3*d - 228 = -3*d + 18*d for d.
-19
Solve 390 = 96*g - 57*g for g.
10
Solve -234*m = -206*m - 311 - 473 for m.
28
Solve -612 = -87*a + 1991 - 341 for a.
26
Solve 6*c - 50 - 56 + 16 = 0 for c.
15
Solve -263*k + 71*k = 29*k - 1547 for k.
7
Solve -4*k + 1 = 24 - 19 for k.
-1
Solve -525 = 109*b + 1655 for b.
-20
Solve -94144 = 119*t - 3061*t for t.
32
Solve 369*o = 318*o + 153 for o.
3
Solve 458*l - 488 = 163*l - 1373 for l.
-3
Solve 14794*l = 14812*l + 414 for l.
-23
Solve -1403*v = -1382*v - 168 for v.
8
Solve -6*c = c - 31 - 11 for c.
6
Solve -2069*q + 1387*q + 682 = 0 for q.
1
Solve 0 = 7733*d - 7745*d - 60 for d.
-5
Solve -1272 = -108*y - 152*y + 101*y for y.
8
Solve -20*b + 48 = -52 for b.
5
Solve 0 = -24*d + 7*d - 66 - 2 for d.
-4
Solve 324*d - 226 = -469 - 1377 for d.
-5
Solve 7128*i = 7160*i + 864 for i.
-27
Solve 348*a + 1031 = -1057 for a.
-6
Solve 3558 = 149*m - 167 for m.
25
Solve 597*g - 9270 = 82*g for g.
18
Solve 47*a + 308 - 66 = -40 for a.
-6
Solve -6*o - 308 = 20*o - 724 for o.
16
Solve -3065 = 46*n - 2145 for n.
-20
Solve -42*g = -39*g + 27 for g.
-9
Solve -38*d - d - 74*d = -339 for d.
3
Solve -1608*k - 130 = -1618*k for k.
13
Solve 73*q - 16*q = 19*q + 380 for q.
10
Solve 2*h + 124 = 54 + 56 for h.
-7
Solve -687*r = -160*r + 6131 - 1388 for r.
-9
Solve 40387*n = 40409*n + 440 for n.
-20
Solve 49669 = 1165*j + 10059 for j.
34
Solve -86*x - 26*x - 334 = 674 for x.
-9
Solve 6458 = -30*x + 6008 for x.
-15
Solve 22550 = 894*l - 344*l for l.
41
Solve -28*n = -3*n - 200 for n.
8
Solve 217*d - 134*d - 747 = 0 for d.
9
Solve 56*s - 526 + 190 = 0 for s.
6
Solve -24214*o = -24252*o + 532 for o.
14
Solve -67*g + 10*g = -627 for g.
11
Solve m + 88*m + 933 + 313 = 0 for m.
-14
Solve 1655*p + 426 = 1584*p for p.
-6
Solve -933 - 264 = -73*m - 248 for m.
13
Solve -24*q + 107*q = 37 + 46 for q.
1
Solve -43*u - 818 = -302 for u.
-12
Solve 45*b - 198 = 139 - 22 for b.
7
Solve 24*p + 38 = 123*p - 61*p for p.
1
Solve 335*n - 40*n = 9440 for n.
32
Solve -420 - 2668 = -698*w - 296 for w.
4
Solve 3*x - 8*x + 3 = -12 for x.
3
Solve 75*u - 1668 = -145*u + 532 for u.
10
Solve 152*c + 138*c - 2*c = 53*c
|
{
"pile_set_name": "DM Mathematics"
}
|
rest integer?
36
What is the fifth root of 8594 to the nearest integer?
6
What is the cube root of 30893 to the nearest integer?
31
What is 22592 to the power of 1/2, to the nearest integer?
150
What is the third root of 29704 to the nearest integer?
31
What is 34192 to the power of 1/10, to the nearest integer?
3
What is 4400 to the power of 1/7, to the nearest integer?
3
What is the third root of 2031 to the nearest integer?
13
What is the third root of 37679 to the nearest integer?
34
What is 4388 to the power of 1/7, to the nearest integer?
3
What is 89938 to the power of 1/2, to the nearest integer?
300
What is the third root of 1456 to the nearest integer?
11
What is 5771 to the power of 1/2, to the nearest integer?
76
What is 58347 to the power of 1/2, to the nearest integer?
242
What is the third root of 140 to the nearest integer?
5
What is the fourth root of 1607 to the nearest integer?
6
What is 80831 to the power of 1/4, to the nearest integer?
17
What is 384 to the power of 1/2, to the nearest integer?
20
What is the square root of 1930 to the nearest integer?
44
What is 68348 to the power of 1/7, to the nearest integer?
5
What is the cube root of 27365 to the nearest integer?
30
What is 565 to the power of 1/8, to the nearest integer?
2
What is 13516 to the power of 1/7, to the nearest integer?
4
What is the square root of 493 to the nearest integer?
22
What is 49308 to the power of 1/5, to the nearest integer?
9
What is 1403 to the power of 1/2, to the nearest integer?
37
What is 11725 to the power of 1/2, to the nearest integer?
108
What is the ninth root of 175 to the nearest integer?
2
What is 4385 to the power of 1/3, to the nearest integer?
16
What is the third root of 1316 to the nearest integer?
11
What is 75171 to the power of 1/9, to the nearest integer?
3
What is 95296 to the power of 1/3, to the nearest integer?
46
What is the third root of 6841 to the nearest integer?
19
What is 28591 to the power of 1/2, to the nearest integer?
169
What is 3819 to the power of 1/8, to the nearest integer?
3
What is the fourth root of 118300 to the nearest integer?
19
What is 191 to the power of 1/5, to the nearest integer?
3
What is 2168 to the power of 1/6, to the nearest integer?
4
What is the square root of 4259 to the nearest integer?
65
What is 19824 to the power of 1/2, to the nearest integer?
141
What is 9242 to the power of 1/2, to the nearest integer?
96
What is 1508 to the power of 1/3, to the nearest integer?
11
What is the cube root of 3021 to the nearest integer?
14
What is the tenth root of 41508 to the nearest integer?
3
What is 46056 to the power of 1/3, to the nearest integer?
36
What is the square root of 2231 to the nearest integer?
47
What is the seventh root of 21545 to the nearest integer?
4
What is the third root of 63467 to the nearest integer?
40
What is the square root of 16650 to the nearest integer?
129
What is 3001 to the power of 1/5, to the nearest integer?
5
What is the sixth root of 14 to the nearest integer?
2
What is the eighth root of 36269 to the nearest integer?
4
What is the cube root of 285 to the nearest integer?
7
What is the eighth root of 7543 to the nearest integer?
3
What is the fourth root of 17039 to the nearest integer?
11
What is 99 to the power of 1/4, to the nearest integer?
3
What is the cube root of 6723 to the nearest integer?
19
What is 3796 to the power of 1/4, to the nearest integer?
8
What is 4132 to the power of 1/2, to the nearest integer?
64
What is the third root of 1815 to the nearest integer?
12
What is 22792 to the power of 1/7, to the nearest integer?
4
What is 5175 to the power of 1/2, to the nearest integer?
72
What is 8792 to the power of 1/2, to the nearest integer?
94
What is 2007 to the power of 1/6, to the nearest integer?
4
What is 7624 to the power of 1/2, to the nearest integer?
87
What is the square root of 31498 to the nearest integer?
177
What is 1365 to the power of 1/8, to the nearest integer?
2
What is the square root of 17283 to the nearest integer?
131
What is 12641 to the power of 1/2, to the nearest integer?
112
What is 2705 to the power of 1/2, to the nearest integer?
52
What is 650 to the power of 1/6, to the nearest integer?
3
What is the fifth root of 80190 to the nearest integer?
10
What is 2764 to the power of 1/10, to the nearest integer?
2
What is the eighth root of 1020 to the nearest integer?
2
What is 19943 to the power of 1/2, to the nearest integer?
141
What is the fifth root of 2205 to the nearest integer?
5
What is 10400 to the power of 1/3, to the nearest integer?
22
What is 1227 to the power of 1/3, to the nearest integer?
11
What is the square root of 945 to the nearest integer?
31
What is the square root of 3066 to the nearest integer?
55
What is 1173 to the power of 1/9, to the nearest integer?
2
What is the cube root of 5345 to the nearest integer?
17
What is the cube root of 16738 to the nearest integer?
26
What is the fourth root of 16757 to the nearest integer?
11
What is 7012 to the power of 1/5, to the nearest integer?
6
What is 3842 to the power of 1/2, to the nearest integer?
62
What is the eighth root of 24713 to the nearest integer?
4
What is the seventh root of 76536 to the nearest integer?
5
What is the square root of 849 to the nearest integer?
29
What is the square root of 3478 to the nearest integer?
59
What is the third root of 8307 to the nearest integer?
20
What is 2941 to the power of 1/3, to the nearest integer?
14
What is 15786 to the power of 1/3, to the nearest integer?
25
What is the fifth root of 11282 to the nearest integer?
6
What is the cube root of 5555 to the nearest integer?
18
What is the fifth root of 34503 to the nearest integer?
8
What is the square root of 117364 to the nearest integer?
343
What is the square root of 5127 to the nearest integer?
72
What is the cube root of 3846 to the nearest integer?
16
What is 6509 to the power of 1/2, to the nearest integer?
81
What is the square root of 5740 to the nearest integer?
76
What is 8180 to the power of 1/7, to the nearest integer?
4
What is the square root of 235 to the nearest integer?
15
What is the square root of 7294 to the nearest integer?
85
What is 6812 to the power of 1/7, to the nearest integer?
4
What is the square root of 75456 to the nearest integer?
275
What is 352 to the power of 1/6, to the nearest integer?
3
What is 8057 to the power of 1/8, to the nearest integer?
3
What is the cube root of 52719 to the nearest integer?
37
What is the square root of 57645 to the nearest integer?
240
What is the cube root of 3984 to the nearest integer?
16
What is 1289 to the power of 1/2, to the nearest integer?
36
What is 12637 to the power of 1/5, to the nearest integer?
7
What is 3411 to the power of 1/3, to the nearest integer?
15
What is 4511 to the power of 1/8, to the nearest integer?
3
|
{
"pile_set_name": "DM Mathematics"
}
|
-2264. What is the thousands digit of w?
1
What is the tens digit of (-134)/4*(156/(-13) + 6)?
0
What is the units digit of ((-6)/5*5)/(2/(-458))?
4
Suppose 125*d - 123*d = 490. What is the tens digit of d?
4
Suppose -4*s - 4*r = -s - 673, 5*s = 5*r + 1110. Let d = 331 - s. What is the hundreds digit of d?
1
Suppose -2*i = 8 - 12. Suppose -u = -5*w - 89, 0 = -u + i*w - 5*w + 65. What is the tens digit of u?
7
Let m = -326 - -399. What is the units digit of m?
3
Let t = -19 + -2. What is the tens digit of (-3 + 60/9)*(0 - t)?
7
Suppose y = -a + 4*y + 8, 3 = -y. What is the units digit of (0 - 1) + a/(2/(-110))?
4
Let r be (28/35)/(2/830). Let l = -202 + r. What is the tens digit of l?
3
Let m = 875 - 325. What is the tens digit of m?
5
Let j(a) = a**3 - 3*a**2 + 5*a - 4. Let i be j(2). Suppose -48 = -2*v + 5*p, -p + 2 + i = 0. What is the units digit of v?
4
Let c = -152 - -1038. What is the tens digit of c?
8
Suppose 28*z - 1646 = 5298. What is the tens digit of z?
4
Let h(z) = z**3 + 10*z**2 - 2*z - 15. Let k be h(-10). Suppose k*r + 11 = -14. Let o(n) = -5*n + 4. What is the units digit of o(r)?
9
Let n = -19 + 26. Suppose -5*y + 2*a = -261, -3*y + n*y - 5*a - 219 = 0. What is the units digit of y?
1
Suppose -5 + 1 = -4*r. Let a be 0 - (3 - (-2)/r). Let q = a - -18. What is the tens digit of q?
1
Suppose 5*r - 4*y = 4*r - 8, 0 = 2*r - 4*y + 4. Let l = 16 - r. Suppose 0 = 4*t - 92 - l. What is the tens digit of t?
2
Let z = 3626 + 1235. What is the units digit of z?
1
Let c be (1/(-2))/((-6)/48). Suppose 0 = 3*a - i - c*i - 627, -5*i = -15. What is the tens digit of a?
1
Let w(c) = c**2 + 5*c - 3. Let d(i) = -i**2 - 4. Let s be d(0). Let f be w(s). Let g(m) = -3*m - 3. What is the tens digit of g(f)?
1
Let c be 49*(0 - 1) + 1. Suppose -95 + 27 = n. Let v = c - n. What is the units digit of v?
0
Suppose d + 7 = -3*b + 3, 0 = 4*d - 5*b - 18. Let i = 103 + -51. Suppose 5*p + d = i. What is the units digit of p?
0
Suppose 14 = 4*p + g, 5*p - 5*g - 10 = 20. Suppose 0 = w - 2*o - 10, w + p*o - 3*o = 4. What is the units digit of (56/12)/(4/w)?
7
Suppose -5*g - 85 = -0*g. Suppose 4*p + b = -2*b + 76, -5*b - 38 = -2*p. Let l = p + g. What is the units digit of l?
2
Let v(q) be the first derivative of -q**4/4 - 2*q**3 - 5*q**2 - 7*q - 8. Let x be v(-6). Suppose -62 - x = -5*o. What is the tens digit of o?
2
Suppose -38*t + 16705 + 30757 = 0. What is the hundreds digit of t?
2
Let c(l) = l. Let j(m) = 21*m - 4. Let r(y) = 2*c(y) - j(y). Let z be r(-4). Suppose 2*h = -0*h - 4*g + z, -3*h + 3*g + 156 = 0. What is the units digit of h?
8
Let h(v) = 163*v**3 + v**2 + v - 2. Suppose 9 - 19 = -10*a. What is the tens digit of h(a)?
6
Let f(w) = -2*w**2 + 3*w. Let j be f(2). Let s = 54 + j. What is the units digit of s?
2
Let w = 83 - 45. What is the units digit of (w/3)/(6/54)?
4
Suppose -2*g - 620 - 1928 = c, 2*g = -2*c - 2548. Let n be (-1)/6 + g/(-84). Suppose d - 26 = n. What is the units digit of d?
1
Let j = 10 + -6. Suppose -a + 22 = j*x - 116, -4*a - 2*x = -510. What is the units digit of 30/9*a/15?
8
Let o = -738 - -933. Let w = 5 - 3. Suppose w*u + o = 5*u. What is the tens digit of u?
6
Let d(g) = -131*g - 270. What is the thousands digit of d(-12)?
1
Let y be 2 + 2 + 1 + -2. Suppose 3*z - 4 = -40. What is the units digit of (-33)/(-4) + y/z?
8
Suppose -9665 = -7*u + 2319. What is the units digit of u?
2
Suppose -j + 3*j = 70. Suppose 4*h + 78 = c - j, 0 = -2*c - 3*h + 226. What is the units digit of c?
3
Suppose 98*b - 4774 = 87*b. What is the units digit of b?
4
Let r = -124 - -288. Suppose 5*a - 3*q + 5*q = 438, -2*a = -2*q - r. What is the tens digit of a?
8
Let t = -6 + 9. Suppose t*w + 9 = -3. What is the units digit of 19/w*(0 + -4)?
9
Let q be 20/(-6)*9/(-6). Suppose -h - q = -2*d + 2, -h - 3 = 0. Suppose a + d*u = -0*u + 28, -a + 19 = -u. What is the units digit of a?
2
Suppose 6 = -4*g + 2. Let r(z) = 6*z + 1. Let k(t) = -t + 1. Let x(v) = g*k(v) - r(v). What is the units digit of x(-7)?
3
Suppose -3*z - 12 = -7*z. Suppose -3*v - 77 = -2*x, -2*x - z*v + 16 = -x. Let f = x + -16. What is the units digit of f?
5
Let r = -17 + 22. Suppose l = i - 60, -2*i = i + r*l - 212. What is the units digit of i?
4
Let k = -80 + 215. What is the units digit of k?
5
Suppose -t = 3*t - 8. Let q(r) = 11*r**3 + r**2 + 3*r - 2. Let z be q(t). Let l = z - 65. What is the units digit of l?
1
Let d(l) = 57*l**2 + 46*l - 4. What is the thousands digit of d(-5)?
1
Suppose -4*i = 5*m - 2389, -m + 4*i = 4*m - 2381. Let t = -1213 + m. What is the units digit of t/(-16)*(-1)/(-2)?
3
Let k = -21 + 21. Suppose 3*n - 87 - 216 = k. What is the tens digit of n
|
{
"pile_set_name": "DM Mathematics"
}
|
w, l, -4?
2
Suppose 0 = -3*p + y + 60, -3*y = p - 5*y - 20. Suppose -2*f = -12*f - p. What is the biggest value in 3/4, -0.3, f, 2/11?
3/4
Let k = -88 - -89. Let w be (-80)/(-30) + (-3)/k. What is the third smallest value in -2/3, w, -1.3?
w
Let f = -38 + 39. Suppose n = -2*l + 15, l - 4*l = -2*n - 19. Let v = l + -8. Which is the smallest value? (a) f (b) -3 (c) v
b
Let v = -1.1 + 0.1. Let y = -4 - v. Let d be (1/(-4))/(-8 + 9). Which is the biggest value? (a) y (b) 5 (c) d
b
Let i = -441/2 + 220. Let y = -359/5 + 72. Let u = 4 - 1. Which is the smallest value? (a) u (b) y (c) i
c
Let x(m) = m**3 + 4*m**2 - 6*m + 2. Let n be x(-5). Let d = n - 9. Let v = 14 + -13.8. Which is the third smallest value? (a) -5/4 (b) v (c) d
b
Let z = 275 - 281. Suppose i = -m - 3*m + 6, 0 = i - 2*m. What is the fourth smallest value in i, 0.4, z, 0.3?
i
Let f be -9 - (-33)/11*5. Let n = -5 + 5.3. Which is the fourth biggest value? (a) 2 (b) 3 (c) n (d) f
c
Let z = 29 - 31. Let j be (3/(-30))/(2/8). What is the second smallest value in j, z, -1?
-1
Let a = -0.01 - -1.21. Let d = a + 1.8. Let x = -10 + 7. What is the third smallest value in 0.1, x, d?
d
Let v = 429.07 - 429. Which is the second biggest value? (a) v (b) 2/5 (c) 5 (d) 1/5
b
Let f = -16.2 + 15.8. Which is the second biggest value? (a) -4 (b) 3/8 (c) -1/3 (d) f
c
Let r = 52 - 50. Which is the third smallest value? (a) r (b) -3 (c) -2/13 (d) 24
a
Let y = -53 + 94. Let n be y/(-10) + (13 - 9). Which is the second smallest value? (a) n (b) -2 (c) -3
b
Let x = -74 + 73.897. What is the biggest value in x, 5, -3?
5
Let i be ((-2)/34)/(16/32). What is the third biggest value in -4, 3, i, -2?
-2
Let r = 44.7 - 47. Let t = -46 + 49. What is the second biggest value in r, -5, t?
r
Let g = 7 - 55/8. Let k = -1052/7 - -150. Let m(y) = -y**2 + y + 3. Let v be m(-2). Which is the third smallest value? (a) g (b) v (c) k
a
Let w = 182/3 - 178/3. Which is the fourth biggest value? (a) w (b) 8 (c) -5 (d) 1
c
Let n = -108.19 - -104.19. Let b(d) = d**2 - 1. Let o be b(0). What is the second biggest value in 0.1, 0.8, n, o?
0.1
Let s = 18 - 27. Let z be s - -10 - (2 + -3 + -2). What is the smallest value in -6/11, z, -0.2?
-6/11
Let x = 167.15 + -166. Which is the second smallest value? (a) -1 (b) -2/11 (c) x
b
Let s(t) = -t + 31. Let x be s(36). Which is the third smallest value? (a) x (b) 14 (c) 3 (d) 6
d
Let i = 30.365 + -0.165. Let l = i - 30. Which is the second biggest value? (a) l (b) 2/3 (c) -2
a
Let u = 1130 - 1130.2. What is the second smallest value in 1, -17, 0, u?
u
Let g = 1.5 + -0.9. Let h = -0.4 + 0.7. Let j = -0.16 - -0.16. Which is the second smallest value? (a) h (b) g (c) j
a
Let n = -279.5 - -280. Which is the third smallest value? (a) n (b) 0.029 (c) 0.3
a
Let k be ((-4)/48*1)/((-2)/4). What is the second biggest value in -5, 0.4, 0.8, k?
0.4
Let d(z) = z**2. Let j be d(1). Let k be (-64)/24*(-3)/(-2) - -6. Let f = k - j. What is the third smallest value in -1, -2/5, f?
f
Let x = -21.1 + 20.1. What is the second smallest value in x, 237, 2?
2
Let h(b) = -b - 3. Let y be h(-5). Let z be y*(15/(-6) - -1). Let x = 0.092 - -0.908. What is the third smallest value in x, 2/15, z?
x
Let o = 0.13 - 0.13. Let q = 1.6 + o. Let l = 1.1 - q. Which is the second smallest value? (a) 3 (b) -0.4 (c) l
b
Let s = 1159.1 - 1159. Let p = 10 - 39/4. What is the smallest value in s, p, 3/7?
s
Let l = -0.477 + 0.5. Let u = l + 2.977. Which is the fourth smallest value? (a) -1/2 (b) u (c) 1/6 (d) 5
d
Suppose 5*j = 4*j - 4. Let g be (-2 + 1)/(j/(-84)). Let c be (-14)/g*18/16. What is the smallest value in c, 0.02, 3?
0.02
Let h be 2/(-3) + (-48)/(-45). Let o = 13461/8 - 3365/2. What is the fourth biggest value in -1, 9, h, o?
-1
Let l be (-1)/(2/3*1). Let i = -2185 + 2184.8. What is the third biggest value in i, l, -2/17?
l
Let n = 1.45 - 1.15. Which is the biggest value? (a) -4/27 (b) n (c) -1/2 (d) -2/9
b
Let v = 461 + -461.5. Which is the third smallest value? (a) 2/7 (b) -4.2 (c) v
a
Let w = -0.025 - 1.415. Let v = w + -1.56. Which is the third biggest value? (a) v (b) 5 (c) 0.2
a
Let p = 6.58 + -3.58. What is the biggest value in -3, p, 7/6?
p
Let c = 31 + -54. What is the second smallest value in -5/2, -2, c, 5/2?
-5/2
Let h(q) = -4*q - 2. Let n be h(0). Let i be n - (3 - (-9)/(-2)). Which is the second biggest value? (a) i (b) 0.1 (c) -2/
|
{
"pile_set_name": "DM Mathematics"
}
|
Let f = -16 - z. Factor 1/2 - f*x**2 - 1/4*x.
-(x - 1)*(x + 2)/4
Let v(y) = -y**2 + 5*y - 2. Let i be v(4). Find r such that -2*r - 7*r**i + 4*r**5 - 32*r**3 + r**4 - 4*r**2 + 20*r**3 = 0.
-1, -1/4, 0, 2
Suppose -4*o + 0*o = -5*d + 48, 4*d - o = 45. Let x be 2/(-1) + 116/d. Factor -13/3*a**2 - 7/3*a**5 - x*a**4 - 9*a**3 + 0 - 2/3*a.
-a*(a + 1)**3*(7*a + 2)/3
Let m(a) = a**5 - a**4 + a**3 - a**2. Let n(b) = -2*b**5 + b**3 + 3*b**2 - b - 1. Let g(h) = -5*m(h) - 5*n(h). Factor g(s).
5*(s - 1)**2*(s + 1)**3
What is f in 0 + 0*f - 3/5*f**5 + 3/5*f**4 + 12/5*f**3 - 12/5*f**2 = 0?
-2, 0, 1, 2
Let k(l) be the second derivative of -10*l**7/21 + 2*l**6/5 + 7*l**5/5 - l**4 - 4*l**3/3 + l - 1. Find t such that k(t) = 0.
-1, -2/5, 0, 1
Suppose -4*m = -3*d + 9 - 21, -3*d = -5*m + 15. Let w = -663/5 + 133. Determine l, given that 0 + 0*l**2 - w*l**m + 2/5*l**4 + 0*l = 0.
0, 1
Let f = 35/13 - 53/39. Determine y, given that -1/3*y**2 - 4/3*y - f = 0.
-2
Let p(y) be the first derivative of y**3/4 - 3*y**2/4 + 3*y/4 + 50. Factor p(k).
3*(k - 1)**2/4
Let l(d) = -5*d**4 + 3*d**3 + 14*d**2 - 14*d + 2. Let z(v) = 51*v**4 - 30*v**3 - 141*v**2 + 141*v - 21. Let j(f) = 21*l(f) + 2*z(f). Factor j(p).
-3*p*(p - 2)*(p - 1)*(p + 2)
Let h(o) be the second derivative of -5*o**4/36 - 35*o**3/9 - 65*o**2/6 + 18*o. Suppose h(y) = 0. What is y?
-13, -1
Find h, given that 3/5*h**2 - 3/5*h**4 - 1/5*h**3 + 0 + 2/5*h - 1/5*h**5 = 0.
-2, -1, 0, 1
Let t(v) be the third derivative of -v**8/280 - v**7/35 - 7*v**6/100 - 3*v**5/50 - 12*v**2. Factor t(q).
-6*q**2*(q + 1)**2*(q + 3)/5
Let k(m) = 8*m**2 - 3*m. Let c(v) = -23*v**2 + 8*v. Let x(d) = 3*c(d) + 8*k(d). Let x(h) = 0. What is h?
0
Let y = 1 + 1. Find w, given that w + w - 5*w**3 + y*w**3 + 4*w**3 - 3*w**2 = 0.
0, 1, 2
Suppose 0 = -4*s + 5*s - 40. Suppose -5*v = 15 - s. Determine f, given that 2*f**5 - 6*f**4 + 2*f**2 + 0*f**2 + 2*f**5 + 0*f**v = 0.
-1/2, 0, 1
Let z be (-4)/(-20) - (-18)/10. Let p(c) be the second derivative of -z*c + 1/70*c**5 + 0*c**3 + 0*c**6 + 0*c**4 - 1/147*c**7 + 0 + 0*c**2. Factor p(h).
-2*h**3*(h - 1)*(h + 1)/7
Solve 0*t + 2/5*t**2 + 0 - t**3 = 0.
0, 2/5
Let d(g) be the second derivative of -g**4/3 + 17*g**3/3 + 9*g**2 + 42*g. Factor d(y).
-2*(y - 9)*(2*y + 1)
Let y(n) be the first derivative of -4 + 0*n**2 - 1/8*n**4 + 0*n + 0*n**3. Find f, given that y(f) = 0.
0
Let w(i) be the second derivative of -i**7/56 - 7*i**6/80 - 9*i**5/80 + i**4/32 + i**3/8 + 61*i. Let w(d) = 0. What is d?
-2, -1, 0, 1/2
Factor 11*z**2 - 10*z**2 - 2*z**2 + 4.
-(z - 2)*(z + 2)
Let u be 0/1*13/26. Suppose -3*v = -u*v. Factor -1/2*w**2 + v + w.
-w*(w - 2)/2
Let n(h) = -h**3 - 6*h**2 - h + 5. Let a be n(-6). Suppose 0 = -4*d - 3 + a. Factor -9*p**3 - 4*p + 3*p**d - 2*p**5 + 3*p + 7*p**4 + 2*p**2.
-p*(p - 1)**3*(2*p - 1)
Let u(o) be the first derivative of 2 + 3/7*o**2 + 4/7*o - 1/14*o**4 + 0*o**3. Let u(w) = 0. Calculate w.
-1, 2
Suppose t + 30 = 7*t. Let x(m) be the third derivative of -1/42*m**4 - 1/70*m**t + 1/21*m**3 + 2*m**2 + 0 + 0*m. Determine s so that x(s) = 0.
-1, 1/3
Let s(c) be the first derivative of 0*c**4 + 1/3*c**6 + 0*c - 2 + 0*c**2 + 2/5*c**5 + 0*c**3. Factor s(v).
2*v**4*(v + 1)
Let r(o) be the third derivative of -o**5/40 + 5*o**4/48 - o**3/6 + 2*o**2. Factor r(b).
-(b - 1)*(3*b - 2)/2
Let t(o) = o + 1. Let r be t(-9). Let p = 10 + r. Factor 2*w + 10*w**2 - w - 9*w**p.
w*(w + 1)
Let j(l) be the first derivative of -2*l**5/85 - l**4/34 - 28. Find m, given that j(m) = 0.
-1, 0
Let r(g) = 8*g**2 - 2*g - 4. Suppose -2*b + z + z + 20 = 0, -3*z = -2*b + 25. Let q(u) = 7*u**2 - u - 3. Let f(c) = b*r(c) - 6*q(c). Factor f(l).
-2*(l + 1)**2
Let s be (3 - 48/20)*5. Factor -7*f**2 + 3*f**s + 4*f**2 + 2*f**2 - 5*f**2.
3*f**2
|
{
"pile_set_name": "DM Mathematics"
}
|
ers?
638638000
How many centimeters are there in 3/40 of a kilometer?
7500
What is twenty-seven fifths of a microgram in nanograms?
5400
How many weeks are there in 32438.4669 minutes?
3.218101875
Convert 0.4838183 nanometers to centimeters.
0.00000004838183
What is one tenth of a millennium in decades?
10
How many nanoseconds are there in 824713.5 minutes?
49482810000000000
What is 8/25 of a kilometer in centimeters?
32000
How many minutes are there in 1/9 of a day?
160
Convert 4.82189 meters to kilometers.
0.00482189
What is 3/40 of a kilometer in meters?
75
What is five eighths of a micrometer in nanometers?
625
What is 5/8 of a kilometer in meters?
625
How many seconds are there in twenty-nine halves of a minute?
870
How many months are there in 898355.2 years?
10780262.4
How many years are there in 8/25 of a century?
32
How many millilitres are there in five eighths of a litre?
625
How many millilitres are there in twenty-one halves of a litre?
10500
How many years are there in 495.2739 months?
41.272825
What is 60145.89 millennia in decades?
6014589
Convert 62333.97s to nanoseconds.
62333970000000
What is 0.2537939 millennia in centuries?
2.537939
How many millilitres are there in 25/4 of a litre?
6250
How many minutes are there in eight fifteenths of a day?
768
What is 3/10 of a century in years?
30
How many centimeters are there in 1/4 of a kilometer?
25000
What is 72.98174 centimeters in millimeters?
729.8174
What is three tenths of a micrometer in nanometers?
300
What is 1/4 of a kilometer in meters?
250
How many micrograms are there in one sixteenth of a gram?
62500
How many meters are there in 997.644 millimeters?
0.997644
How many millilitres are there in 7244.809 litres?
7244809
How many decades are there in 982.1417 centuries?
9821.417
How many millilitres are there in 13/5 of a litre?
2600
How many millilitres are there in eleven eighths of a litre?
1375
What is 1.622664 months in years?
0.135222
How many micrograms are there in 27/4 of a milligram?
6750
Convert 0.0686626 millilitres to litres.
0.0000686626
How many months are there in 7/4 of a year?
21
Convert 43282.33l to millilitres.
43282330
How many years are there in 1/4 of a century?
25
What is 3/40 of a century in months?
90
What is 6/5 of a tonne in kilograms?
1200
How many kilograms are there in 67/4 of a tonne?
16750
What is 37604.5ml in litres?
37.6045
What is 284705.7 millennia in years?
284705700
Convert 0.1315082 kilometers to meters.
131.5082
What is 1/5 of a hour in minutes?
12
How many kilograms are there in 0.567767ng?
0.000000000000567767
How many micrograms are there in twenty-seven halves of a milligram?
13500
How many tonnes are there in 146.3825 micrograms?
0.0000000001463825
How many litres are there in 89605.34 millilitres?
89.60534
How many millilitres are there in 12/25 of a litre?
480
Convert 0.2079564 years to centuries.
0.002079564
What is 13/5 of a milligram in micrograms?
2600
Convert 6.2437437ns to hours.
0.00000000000173437325
What is thirteen quarters of a millimeter in micrometers?
3250
How many months are there in 11/2 of a decade?
660
What is 6/5 of a century in months?
1440
Convert 53928258.3 minutes to weeks.
5350.025625
How many seconds are there in 1/9 of a hour?
400
Convert 200.6056 decades to years.
2006.056
What is twenty-one quarters of a litre in millilitres?
5250
How many nanograms are there in seventeen tenths of a microgram?
1700
What is 1.34481 litres in millilitres?
1344.81
How many milligrams are there in 45/4 of a gram?
11250
Convert 0.4602846 millennia to years.
460.2846
How many kilograms are there in 1/10 of a tonne?
100
How many kilometers are there in 325.6927mm?
0.0003256927
What is 277735.6 millilitres in litres?
277.7356
What is 10/3 of a hour in seconds?
12000
How many nanograms are there in 0.2450616t?
245061600000000
What is 33/5 of a litre in millilitres?
6600
What is 11/2 of a litre in millilitres?
5500
What is 3/56 of a week in minutes?
540
What is 3/5 of a litre in millilitres?
600
What is 3/25 of a hour in seconds?
432
What is 2/125 of a kilometer in meters?
16
How many centimeters are there in 31/5 of a meter?
620
How many millilitres are there in three fifths of a litre?
600
What is one twentieth of a litre in millilitres?
50
What is 5.900001um in millimeters?
0.005900001
How many meters are there in 3046.641km?
3046641
How many months are there in 4.418387 millennia?
53020.644
Convert 86.1719 millilitres to litres.
0.0861719
How many milligrams are there in 18/5 of a gram?
3600
How many centuries are there in 0.0956233 decades?
0.00956233
What is 9214.872 decades in months?
1105784.64
How many meters are there in 2.519033 nanometers?
0.000000002519033
How many litres are there in 75446.11ml?
75.44611
How many centimeters are there in 6/25 of a kilometer?
24000
How many years are there in 1/5 of a century?
20
What is 0.5418161 millennia in decades?
54.18161
How many nanograms are there in 102.567 micrograms?
102567
What is 61/4 of a litre in millilitres?
15250
How many millimeters are there in 7/2 of a meter?
3500
How many nanometers are there in thirty-seven halves of a micrometer?
18500
How many litres are there in 54577.91 millilitres?
54.57791
How many weeks are there in 374193.162ms?
0.000618705625
Convert 0.7884881 centuries to millennia.
0.07884881
How many centimeters are there in 9/10 of a meter?
90
Convert 2.410023t to grams.
2410023
What is 9896.616 minutes in hours?
164.9436
How many months are there in 21/4 of a decade?
630
Convert 4245.037 milligrams to nanograms.
4245037000
How many minutes are there in 168152.1ns?
0.000002802535
How many microseconds are there in 51040.54s?
51040540000
How many months are there in twenty-nine sixths of a decade?
580
What is 996769.4 millilitres in litres?
996.7694
How many seconds are there in 4/15 of a minute?
16
How many nanoseconds are there in twenty-seven quarters of a microsecond?
6750
Convert 834.0606um to centimeters.
0.08340606
How many meters are there in 1/4 of a kilometer?
250
How many centuries are there in 583.3076 decades?
58.33076
Convert 0.633244 millennia to decades.
63.3244
How many millimeters are there in 11/2 of a centimeter?
55
How many months are there in fifteen quarters of a year?
45
Convert 0.8051304 nanometers to centimeters.
0.00000008051304
Convert 30.72004t to micrograms.
30720040000000
What is five quarters of a week in hours?
210
What is 3/8 of a micrometer
|
{
"pile_set_name": "DM Mathematics"
}
|
rest integer?
15
What is the sixth root of 61075 to the nearest integer?
6
What is 20901941 to the power of 1/9, to the nearest integer?
7
What is 374950 to the power of 1/7, to the nearest integer?
6
What is 7725389 to the power of 1/3, to the nearest integer?
198
What is the third root of 373452 to the nearest integer?
72
What is the eighth root of 15004790 to the nearest integer?
8
What is 104643 to the power of 1/10, to the nearest integer?
3
What is the square root of 444570 to the nearest integer?
667
What is 185854 to the power of 1/7, to the nearest integer?
6
What is the square root of 16294350 to the nearest integer?
4037
What is the square root of 311027 to the nearest integer?
558
What is the tenth root of 450489 to the nearest integer?
4
What is 7741530 to the power of 1/2, to the nearest integer?
2782
What is 35323728 to the power of 1/9, to the nearest integer?
7
What is 144697 to the power of 1/9, to the nearest integer?
4
What is the third root of 5343585 to the nearest integer?
175
What is the third root of 1888616 to the nearest integer?
124
What is 3746879 to the power of 1/7, to the nearest integer?
9
What is 2814712 to the power of 1/2, to the nearest integer?
1678
What is the square root of 533942 to the nearest integer?
731
What is 346832 to the power of 1/8, to the nearest integer?
5
What is the sixth root of 1190379 to the nearest integer?
10
What is the eighth root of 20032005 to the nearest integer?
8
What is the square root of 3399063 to the nearest integer?
1844
What is the eighth root of 14415328 to the nearest integer?
8
What is the cube root of 3003357 to the nearest integer?
144
What is 177807 to the power of 1/10, to the nearest integer?
3
What is the third root of 2474349 to the nearest integer?
135
What is 154581 to the power of 1/2, to the nearest integer?
393
What is 2815063 to the power of 1/4, to the nearest integer?
41
What is the ninth root of 239073 to the nearest integer?
4
What is the cube root of 35315320 to the nearest integer?
328
What is the square root of 9550929 to the nearest integer?
3090
What is the cube root of 1847448 to the nearest integer?
123
What is the square root of 6282565 to the nearest integer?
2507
What is the cube root of 23406170 to the nearest integer?
286
What is 253495 to the power of 1/5, to the nearest integer?
12
What is 14282435 to the power of 1/10, to the nearest integer?
5
What is the sixth root of 510525 to the nearest integer?
9
What is the fourth root of 1250309 to the nearest integer?
33
What is the seventh root of 1347965 to the nearest integer?
8
What is the ninth root of 316988 to the nearest integer?
4
What is the fifth root of 4685260 to the nearest integer?
22
What is the square root of 2180764 to the nearest integer?
1477
What is 1056872 to the power of 1/4, to the nearest integer?
32
What is the sixth root of 585816 to the nearest integer?
9
What is the fourth root of 229847 to the nearest integer?
22
What is the tenth root of 1602139 to the nearest integer?
4
What is the cube root of 101909 to the nearest integer?
47
What is the third root of 212765 to the nearest integer?
60
What is the third root of 1460732 to the nearest integer?
113
What is 811310 to the power of 1/3, to the nearest integer?
93
What is the square root of 1848500 to the nearest integer?
1360
What is 177613 to the power of 1/9, to the nearest integer?
4
What is 2495489 to the power of 1/2, to the nearest integer?
1580
What is 121430 to the power of 1/4, to the nearest integer?
19
What is the third root of 4044436 to the nearest integer?
159
What is 481665 to the power of 1/10, to the nearest integer?
4
What is the square root of 11844642 to the nearest integer?
3442
What is the square root of 1553297 to the nearest integer?
1246
What is the fourth root of 9304805 to the nearest integer?
55
What is the seventh root of 3927715 to the nearest integer?
9
What is the cube root of 1161272 to the nearest integer?
105
What is the eighth root of 814160 to the nearest integer?
5
What is the seventh root of 1767062 to the nearest integer?
8
What is the cube root of 208685 to the nearest integer?
59
What is the third root of 259910 to the nearest integer?
64
What is the square root of 4527693 to the nearest integer?
2128
What is the square root of 41469368 to the nearest integer?
6440
What is the square root of 13306604 to the nearest integer?
3648
What is 2197182 to the power of 1/8, to the nearest integer?
6
What is 261201 to the power of 1/3, to the nearest integer?
64
What is 88923 to the power of 1/9, to the nearest integer?
4
What is 1765054 to the power of 1/7, to the nearest integer?
8
What is 492778 to the power of 1/3, to the nearest integer?
79
What is 3502286 to the power of 1/9, to the nearest integer?
5
What is 1482508 to the power of 1/7, to the nearest integer?
8
What is 358277 to the power of 1/3, to the nearest integer?
71
What is 4343579 to the power of 1/5, to the nearest integer?
21
What is the sixth root of 30458 to the nearest integer?
6
What is the eighth root of 328497 to the nearest integer?
5
What is the seventh root of 2042256 to the nearest integer?
8
What is 192438 to the power of 1/7, to the nearest integer?
6
What is 96510 to the power of 1/3, to the nearest integer?
46
What is 900535 to the power of 1/7, to the nearest integer?
7
What is 1652868 to the power of 1/7, to the nearest integer?
8
What is the fifth root of 1960536 to the nearest integer?
18
What is the third root of 169274 to the nearest integer?
55
What is the fourth root of 899611 to the nearest integer?
31
What is 165299 to the power of 1/8, to the nearest integer?
4
What is 1075017 to the power of 1/3, to the nearest integer?
102
What is the third root of 21407595 to the nearest integer?
278
What is the cube root of 589499 to the nearest integer?
84
What is 240761 to the power of 1/8, to the nearest integer?
5
What is 1330302 to the power of 1/2, to the nearest integer?
1153
What is the fifth root of 21049 to the nearest integer?
7
What is 101449 to the power of 1/2, to the nearest integer?
319
What is 978849 to the power of 1/2, to the nearest integer?
989
What is the third root of 398702 to the nearest integer?
74
What is 240606 to the power of 1/4, to the nearest integer?
22
What is 137921 to the power of 1/2, to the nearest integer?
371
What is 4544174 to the power of 1/9, to the nearest integer?
5
What is the square root of 11292286 to the nearest integer?
3360
What is 55758 to the power of 1/2, to the nearest integer?
236
What is 3274947 to the power of 1/2, to the nearest integer?
1810
What is 3591699 to the power of 1/5, to the nearest integer?
20
What is the sixth root of 1011709 to the nearest integer?
10
What is the square root of 413357 to the nearest integer?
643
What is 605270 to the power of 1/2, to the
|
{
"pile_set_name": "DM Mathematics"
}
|
= -7 + 13. Determine t(b).
-3
Let x(q) be the first derivative of 2/3*q**3 - 4*q - 3/2*q**2 - 1. Suppose 5*d = -3*m, 0 = m - 0*m + 5. Give x(d).
5
Let g(q) be the first derivative of -q**6/120 + q**5/20 + q**4/4 - 2*q**3/3 + q**2/2 + 3. Let h(s) be the second derivative of g(s). What is h(4)?
4
Let x be -14 - -13 - -1*2. Let y(s) be the first derivative of 10*s - x - 1/2*s**2. What is y(6)?
4
Let o(s) = s + 19. Let r(h) = h + 2. Let g(z) = -z - 3. Let j(c) = -7*g(c) - 6*r(c). Let p(w) = -5*j(w) + 2*o(w). What is p(-5)?
8
Let q(j) = -j**3 + j + 1. Let w(s) be the first derivative of 2/3*s**3 - 3 + 3/2*s**2 + 0*s. Let m be w(-2). Determine q(m).
-5
Let h(n) = 2*n + 10. Let d(w) = 5*w + 3. Let q be d(-2). Give h(q).
-4
Let n(k) = 9*k**3 + k**2. Suppose 0 = 2*j - s + 4*s + 11, 4*s = -j - 13. What is n(j)?
-8
Let o(r) = -r - 2. Let v = -28 + 32. Determine o(v).
-6
Let a(h) = -h**2 - 6*h - 4. Suppose 2*b = -5*k + b + 13, -9 = -3*k - b. Suppose -5*t + k*j - 8 = 26, -j - 16 = 3*t. Let p = t + 2. What is a(p)?
4
Let d(t) = t**2 + t - 1. Let b(k) = 2*k**2 + 3*k. Let v(y) = b(y) - d(y). Calculate v(-4).
9
Suppose 2 = s - 2*j + 5, -3 = 2*s - 3*j. Let q(d) be the first derivative of d**4/4 - 4*d**3/3 + d**2 + 2*d + 2. Determine q(s).
-1
Let j(p) = p**3 - 4*p**2 + 2*p - 4. Let n(a) = a**3 - 4*a**2 + 2*a - 3. Let h(i) = -3*j(i) + 4*n(i). Calculate h(3).
-3
Let w(v) = 2*v + 13*v**2 - 2 + 2*v - 16*v**2. Calculate w(2).
-6
Let g(w) = w**2 + 6*w + 5. Suppose -28 - 2 = 5*m. Determine g(m).
5
Let r(v) = -3*v**2 + 4*v. Let s(y) = 10*y**2 - 11*y. Let l(i) = 7*r(i) + 2*s(i). Give l(5).
5
Suppose 6 = -a + 4. Let j(s) = -2*s - 2. What is j(a)?
2
Let a(b) = b**3 - 4*b**2 + 4*b + 1. Let p = -12 + 3. Let i be ((p - 3)/(-2))/2. Determine a(i).
4
Let l = 1 - 1. Let j be 1/(1 + 4/(-5)). Let h(a) = 2 + j - 4 - a**2 + a. Give h(l).
3
Let m(q) be the second derivative of q**3/6 - 3*q**2 + 45*q. What is m(-6)?
-12
Let y(n) = 4*n - 1 - 2*n**2 - 7*n - 5*n**2 + n**3 + 6*n. Give y(6).
-19
Let i be 0 + 0 - (-2 - 0). Let w(r) = -r - i + 0*r - r + r**2 + 6*r. Let p = -10 + 6. Give w(p).
-2
Let f(y) = y**3 + 4*y**2 - y - 4. Let m = -8 + 5. Let z be f(m). Let c = -5 + z. Let d(a) = -a**3 + 4*a**2 - a + 2. Calculate d(c).
8
Let u(x) = -x**3 + 3*x**2 + 3*x - 8. Let d(v) = v - 1. Let k(j) = -6*d(j) + u(j). Determine k(3).
-11
Suppose -3*n - 3*m + 6 = 0, -2*n = -3*n + 3*m - 18. Let f(d) = -d - 5. What is f(n)?
-2
Suppose -17 = -4*w - 2*n + n, -w + 7 = 3*n. Suppose -8 = -w*a, -i + 2*a - 3*a - 2 = 0. Let r(j) = -j**2 - 5*j + 1. What is r(i)?
5
Let z(i) = i**2 + 7*i + 5. Let l be z(-5). Suppose 0 = 5*a - 2*a + 3*r - 15, -5 = -5*r. Let q(p) = -a*p**2 + 5 + 8*p - p + 5*p**2. Determine q(l).
-5
Let s(v) = 7*v**2 - v. Suppose -1 - 4 = 5*z. Give s(z).
8
Suppose -3*v = -4*c - 36, 6 = c + v + 2*v. Let p(a) be the second derivative of a**3/6 + 7*a**2/2 + 29*a. Give p(c).
1
Let o(u) = 2*u**2 - 2*u - 2. Let r(w) be the third derivative of -w**5/60 + 5*w**3/6 + w**2. Let m be r(0). Let i(d) = d - 2. Let l be i(m). What is o(l)?
10
Let r(v) = v - 1. Let s be r(-4). Let h(c) = 2*c**3 - 3*c**2 + 13*c + 25. Let n(a) = a**3 - a**2 + 6*a + 12. Let o(u) = -6*h(u) + 13*n(u). Give o(s).
6
Suppose -9*w + 15 = 6. Let t(h) = -5*h**2 + h. Calculate t(w).
-4
Suppose -5*i - 42 = -2*w, -3*i - 28 = -6*w + 2*w. Let q(l) = l**2 + 7*l + 5. What is q(i)?
13
Let c(n) = 413 + 2*n**2 + n**3 + 408 - 822. Let u(w) = -w - 1. Let v be u(0). Determine c(v).
0
Let f = 17 - 10. Suppose -s - 2*s + 15 = 4*j, s + 2*j = f. Let v(u) = 6*u**2 - 2*u + 1. Calculate v(s).
5
Let t(w) = w**2 + 8*w - 12. Let z be t(-9). Let m(b) = -b + 1. Calculate m(z).
4
Let u = 13 + -10. Let r(h) = 2*h**3 + 5*h**2 + 6*h - 2*h**u + 5 - h**3. Determine r(6).
5
Let l = -3 + 27. Suppose -36 = -2*d - 2*d. Suppose 4*b - 2*b = x + d, l = -x + 5*b. Let w(p) = -p
|
{
"pile_set_name": "DM Mathematics"
}
|
-181?
-224
What comes next: 2639, 5280, 7921, 10562?
13203
What is next in 26, 8, -38, -124, -262, -464, -742?
-1108
What comes next: 1353, 1368, 1409, 1488, 1617, 1808, 2073?
2424
What is next in 232, 470, 708, 946?
1184
What comes next: -12, 1, 24, 57, 100?
153
What is the next term in -51, -48, -49, -60, -87, -136, -213?
-324
What is the next term in -36, -100, -212, -372, -580, -836?
-1140
What is the next term in -12, -33, -54, -75, -96, -117?
-138
What is next in -2807, -2789, -2773, -2759, -2747, -2737?
-2729
What is next in -309, -314, -319, -324, -329, -334?
-339
What is next in 537, 559, 629, 771, 1009, 1367, 1869?
2539
What is the next term in 2806, 2812, 2828, 2860, 2914, 2996?
3112
What is next in -1691, -1692, -1693?
-1694
What is next in 8, 38, 68, 98, 128, 158?
188
What comes next: 996, 1994, 2992, 3990?
4988
What is the next term in -738, -1484, -2228, -2970?
-3710
What comes next: 65, 68, 73, 80, 89, 100?
113
What comes next: 46, 26, -16, -86, -190, -334, -524, -766?
-1066
What is next in 2, -10, -32, -64, -106, -158, -220?
-292
What is the next term in 24, 40, 56, 72, 88, 104?
120
What is the next term in 77, 158, 251, 362, 497, 662?
863
What comes next: -192, -385, -580, -777, -976?
-1177
What is next in 170, 161, 154, 155, 170, 205, 266?
359
What is the next term in 58, 301, 954, 2221, 4306, 7413?
11746
What comes next: -11, -65, -157, -287, -455, -661?
-905
What is the next term in 1346, 2698, 4060, 5438, 6838, 8266, 9728?
11230
What is next in 118, 107, 82, 37, -34, -137?
-278
What is the next term in -16, -40, -64, -88?
-112
What is the next term in -10, -127, -464, -1135, -2254?
-3935
What comes next: 141, 150, 155, 150, 129, 86, 15, -90?
-235
What is the next term in -52, -92, -120, -136, -140, -132?
-112
What is the next term in -64, -360, -846, -1516, -2364, -3384?
-4570
What is next in 23, 41, 71, 113, 167?
233
What is the next term in 407, 829, 1251, 1673, 2095?
2517
What comes next: 246, 491, 736, 981, 1226?
1471
What is next in -15, -24, -47, -90, -159, -260?
-399
What is the next term in 418, 448, 478, 508, 538, 568?
598
What is next in 882, 880, 878, 876, 874?
872
What comes next: 311, 309, 295, 263, 207?
121
What is next in -1348, -2700, -4052, -5404?
-6756
What is the next term in 20, 27, 34, 41?
48
What is next in 0, -53, -202, -495, -980, -1705?
-2718
What is next in 39, 40, 41?
42
What is the next term in -17, -13, -9, -5, -1?
3
What is next in -2425, -2431, -2437, -2443?
-2449
What comes next: -7, 1, 23, 65, 133, 233, 371?
553
What is the next term in -37, -29, -21, -13, -5, 3?
11
What is the next term in 185, 225, 265, 305, 345, 385?
425
What is the next term in 135, 164, 221, 312, 443, 620?
849
What is the next term in 8, 3, -2, -7?
-12
What comes next: -542, -1082, -1622, -2162, -2702?
-3242
What comes next: -159, -163, -169, -177, -187?
-199
What is next in 43, 48, 55, 64, 75?
88
What comes next: -7, 1, 9, 11, 1, -27, -79, -161?
-279
What comes next: -31, -133, -303, -541?
-847
What is next in 63, 105, 147?
189
What is next in 5, 11, 17?
23
What is next in -10, -28, -52, -82?
-118
What comes next: -72, -228, -480, -822, -1248, -1752, -2328?
-2970
What is the next term in -115, -117, -119, -121?
-123
What comes next: 110, 112, 114, 116, 118, 120?
122
What comes next: -209, -212, -215, -218, -221?
-224
What is next in -30, -67, -98, -123, -142, -155, -162?
-163
What comes next: -22267, -22266, -22265, -22264, -22263?
-22262
What comes next: 41, 77, 111, 143, 173?
201
What is the next term in 110, 442, 984, 1730, 2674?
3810
What is the next term in -435, -874, -1313, -1752?
-2191
What is the next term in -180, -345, -486, -591, -648?
-645
What comes next: -410, -404, -398, -392?
-386
What is next in -441, -915, -1377, -1821, -2241?
-2631
What comes next: -71, -149, -229, -311, -395, -481, -569?
-659
What is the next term in -374, -372, -370, -368, -366?
-364
What comes next: 1926, 1927, 1928, 1929, 1930, 1931?
1932
What is next in 380, 371, 348, 305, 236?
135
What is next in -25, -30, -31, -22, 3, 50?
125
What comes next: 57, 64, 19, -84, -251?
-488
What is next in 27, 26, 29, 36, 47, 62, 81?
104
What is next in 37, 52, 49, 22, -35, -128, -263?
-446
What is next in 10, 35, 78, 139, 218, 315, 430?
563
What is the next term in 15, 56, 159, 354, 671, 1140?
1791
What comes next: 62, 41, -8, -97, -238, -443?
-724
What is the next term in 2498, 2489, 2474, 2453, 2426?
2393
What is next in -31, -27, -9, 29, 93, 189?
323
What is next in 351, 701, 1051, 1401, 1751, 2101?
2451
What comes next: 10, 14, 10, -8, -46, -110, -206?
-340
What is the next term in 10, -2, -18, -38, -62, -90, -122?
-158
What is the next term in 239,
|
{
"pile_set_name": "DM Mathematics"
}
|
Give m(u(y)).
-52*y
Let j(v) = 2794 - 3*v + 2794 - 5588. Let b(r) be the second derivative of 5*r**4/12 + 23*r. Give b(j(h)).
45*h**2
Let x(n) = -6*n**2. Suppose 12*p - 13131 - 10257 = 0. Let v(c) = -p*c + 3921*c - 1944*c. Calculate x(v(w)).
-4704*w**2
Let j(d) = d. Let m(z) = -133 + 4544*z - 47 + 4546*z - 9085*z. Give j(m(q)).
5*q - 180
Let n(w) = 5*w. Let s(c) = -12941993*c. Give s(n(d)).
-64709965*d
Let f(u) = 209*u**2. Let g(n) = 63*n**2 + 35*n - 875. Let w(j) = -2*j**2 - j + 25. Let k(s) = -g(s) - 35*w(s). Give k(f(v)).
305767*v**4
Let u(z) = 2*z. Let y(n) = 20783081*n**2. Give y(u(s)).
83132324*s**2
Let v = 128 - 68. Let x(g) = 136*g - v*g - 60*g. Let d(q) = -2*q. Let b(s) = 3*s. Let u(p) = -4*b(p) - 5*d(p). Determine x(u(a)).
-32*a
Suppose -9*x + 14*x = 10. Let y(t) = -20*t**2 - 4*t + 2. Let q(f) = -441*f**2 - 90*f + 45. Let o(k) = x*q(k) - 45*y(k). Let b(a) = 2*a. Determine o(b(r)).
72*r**2
Let w(o) = -65*o**2. Let r = -307 - -311. Let n(y) = -3*y**2 + 6. Let f(s) = 3*s**2 - 8. Let v(u) = r*n(u) + 3*f(u). What is v(w(b))?
-12675*b**4
Let t(q) = -53596*q. Let h(s) = 1162*s**2. Determine t(h(y)).
-62278552*y**2
Let y(z) = -197*z**2 + 45*z. Let g(q) = 5646*q**2. Determine y(g(c)).
-6279831252*c**4 + 254070*c**2
Let w(f) = -2*f - 4. Let g(p) = -p**3 - 8*p**2 - 14*p - 7. Let r be g(-6). Suppose -13 = -4*x - r. Let k(a) = -a + x + 4 - 6. Calculate w(k(j)).
2*j - 4
Let h(d) = 561*d**2. Let o(y) = 105*y - 18. Let g(c) = 47*c - 8. Let q(p) = 9*g(p) - 4*o(p). Give q(h(z)).
1683*z**2
Let b(k) be the first derivative of 2*k**3/3 + 244*k + 3783. Let r(h) = h. Give r(b(u)).
2*u**2 + 244
Let s(l) = -43*l - 49*l + 135*l - 26*l. Let j(n) = 465*n**2. What is j(s(t))?
134385*t**2
Let q(l) be the first derivative of 0*l**2 + 0*l + 2/3*l**3 - 74. Let w(m) = 2*m**2 - 19*m. Calculate w(q(j)).
8*j**4 - 38*j**2
Let w(y) = y**2 - 344. Let s(x) = 2696*x**2. Determine w(s(f)).
7268416*f**4 - 344
Let n(s) be the first derivative of -8*s**3/3 + 26*s + 2213. Let d(t) = -2*t. Give d(n(u)).
16*u**2 - 52
Let f(q) = 1049*q. Let z(p) = 11295*p. Give z(f(d)).
11848455*d
Let q(p) = -9396102*p - 1. Let c(a) = -a**2. What is q(c(m))?
9396102*m**2 - 1
Let m(a) = -a - 20. Let x(z) = z + 40. Let p(f) = 5*m(f) + 2*x(f). Let u(t) be the first derivative of t**2 - 17. Calculate p(u(n)).
-6*n - 20
Suppose -8*j = -639 - 9. Let f(t) = -j + t + 81 - 3*t. Let i(s) = 12*s**2 - 2. Determine f(i(w)).
-24*w**2 + 4
Let h(y) = -17*y. Let a(b) = 36715*b**2 + 3*b + 4. Determine h(a(r)).
-624155*r**2 - 51*r - 68
Suppose -2*a - f = a - 8, 4 = 2*a + 2*f. Suppose 0 = -a*m - 4*m + 147. Let l(y) = 21*y + 5*y**2 - m*y. Let q(h) = -3*h. Determine l(q(i)).
45*i**2
Let p(g) = -3. Let h(f) = -3*f + 7. Let x = 244 + -240. Let u(j) = x*p(j) + 2*h(j). Let n(a) be the second derivative of a**4/12 + a. Calculate u(n(w)).
-6*w**2 + 2
Suppose 5*k = -0*k + 10. Suppose 47 = -k*g - u + 156, 2*u + 198 = 4*g. Let x(y) = -28*y + g*y - 26*y. Let t(c) = -5*c. Determine x(t(n)).
10*n
Let o(s) = 16*s. Suppose 202 + 134 = 168*a. Let g(d) be the third derivative of -1/30*d**5 + 0 + 0*d**3 - 9*d**a + 0*d**4 + 0*d. Determine o(g(m)).
-32*m**2
Let x(t) = 4*t. Let p(n) = -2459779*n**2. Determine p(x(y)).
-39356464*y**2
Let f(x) = -2*x. Let a be (-5 - 1)/(-1) + 1. Let t(d) = -8*d. Let v(u) = a*f(u) - 2*t(u). Let i(h) = -43*h**2 - 1. Calculate v(i(n)).
-86*n**2 - 2
Let f(s) = -s. Let a(x) = 506*x - 170*x - 164*x + 2128 - 171*x. Determine a(f(y)).
-y + 2128
Let u(s) = 3*s + 553681 - 553681. Let p(h) = 799*h**2. Give u(p(x)).
2397*x**2
Let y(m) = -18150*m. Let f(n) = -29*n + 300. Let x(h) = 7*h - 72. Let t(i) = -6*f(i) - 25*x(i). What is y(t(p))?
18150*p
Let c(t) = 47*t. Let w(f) be the second derivative of -53*f**3/2 + 2*f + 917. Give w(c(o)).
-7473*o
Let r(s) = -s +
|
{
"pile_set_name": "DM Mathematics"
}
|
= d*c - 102590. Round l to the nearest 1000.
51000
Let y = -20412 + 20412.000023417. What is y rounded to seven decimal places?
0.0000234
Let m = 1107 + -1107.21884. Let o = m + 0.159477. Let a = 0.0591 + o. Round a to five decimal places.
-0.00026
Let d = -0.83 + -40.17. Let h = 27894 - 27934.962. Let f = h - d. Round f to 2 dps.
0.04
Let w be (15/2)/(3/(-48)*6). Let d be 248/(-14) - w/(-70). Let g = 8 + d. What is g rounded to the nearest ten?
-10
Let u = -18427 + 10927. Let z be (-50)/(5*(-8)/u). Let b be 6560/(3*10/z). What is b rounded to the nearest 100000?
-2100000
Let x = 0.087372 + 41.913128. Let f = -123 + 81. Let t = f + x. Round t to four decimal places.
0.0005
Let a = 542 - 542.124. Let f = a + 0.12348. What is f rounded to three decimal places?
-0.001
Let d = -0.396222 + 17817.096222. What is d rounded to the nearest 1000?
18000
Let b(x) = 6311*x - 24. Let w be b(-6). Let f = w - -4390. What is f rounded to the nearest 1000?
-34000
Let l be ((-13081)/(-2))/(7/28). Suppose -l = 3*t - 5708. Let d = t - -3448. Round d to the nearest one hundred.
-3400
Let i = 2683.15541305 + -2972.155407. Let g = i - -289. What is g rounded to 6 dps?
0.000006
Let o = -1166 + 1382.3. Let k = o - 6.3. Let c = -209.799 + k. Round c to 1 decimal place.
0.2
Suppose -4*g - t = -12, g - 14*t = -12*t + 3. Let q be ((-9)/(-2) + g)*(-1665600)/(-36). Round q to the nearest ten thousand.
350000
Let h = 1026.3416 + -1031.2. Round h to 1 dp.
-4.9
Let b be (3*(-5058)/(-21))/((-9)/(-42)). Suppose -23*y - 19104 = -b. Let w be (y/4)/((-3)/300). Round w to the nearest 1000.
17000
Let n = -17976.99969386 + 17977. Round n to 6 decimal places.
0.000306
Let p = 343.9183 + 0.0817. Let g = p - 344.0228. Round g to three decimal places.
-0.023
Let j = -2940.95931 - -2941. What is j rounded to 3 decimal places?
0.041
Let o = 568617359.9999464 + -568617566. Let a = o + 206. What is a rounded to 6 decimal places?
-0.000054
Let z = -0.0501 + 15.0721. Let f = z + -0.022. Let d = f - 16.74. What is d rounded to 1 dp?
-1.7
Let m(l) = 2*l**2 - l - 7. Let t be m(-3). Suppose 7*c + 14 = t*c. Suppose 3*u = -c*u - 1325000. What is u rounded to the nearest ten thousand?
-270000
Let x be 6*2/32 + 312/(-768)*21628. Round x to the nearest one thousand.
-9000
Let t be (-1234487)/(-4) - 42/(-168). Let v = t - 168622. What is v rounded to the nearest 1000000?
0
Let j be -1 + (-55)/(-45) + 480/27. Suppose -152100 = c - 4*c. Suppose j*h + c = 15*h. Round h to the nearest 1000.
-17000
Let b = -104653721.43 - -104654366.430000407. Let z = 645 - b. What is z rounded to 7 decimal places?
-0.0000004
Let p be (-3)/(-4)*4 - 3/1. Suppose -4*l + 4 + 48 = p. Suppose -14*w + l*w + 51300000 = 0. What is w rounded to the nearest 1000000?
51000000
Let o(d) = -d**3 + 3*d + 4760000. Let h = -556 - -556. Let a be o(h). What is a rounded to the nearest one million?
5000000
Let i = -51.876 - 0.124. Let q = 53.8978 - 0.2578. Let o = q + i. Round o to 1 decimal place.
1.6
Let a = 0.4 - 3.4. Let z = 679462.99937 - 679460. Let y = a + z. What is y rounded to four dps?
-0.0006
Let v = 48832949693.99999733 - 48832949984. Let j = -290 - v. Round j to 6 dps.
0.000003
Let b = -15346 - -15346.01821. What is b rounded to 2 dps?
0.02
Let p = -67.7200209 - -67.79. Let g = -0.27 + 0.2. Let u = g + p. Round u to six dps.
-0.000021
Let a = 0.032 + 76.968. Let r = a + -102. Let k = 24.9999918 + r. Round k to five dps.
-0.00001
Let f = -17696.72205 - -17697. What is f rounded to two decimal places?
0.28
Let s(q) be the third derivative of q**6/40 + 7*q**5/30 + q**4/3 + 109*q**2. Let n be s(-5). What is n rounded to the nearest 100?
-100
Let h = -149 + 149. Suppose h = -0*y - 3*y - 11400. What is y rounded to the nearest one thousand?
-4000
Let g = 0.07237195 - 0.0723. What is g rounded to five decimal places?
0.00007
Let p = -3772.9999992661 + 3773. What is p rounded to seven decimal places?
0.0000007
Let h = 0.19 + 0.52. Let a = -104.71 + h. Let l = -103.9923 - a. Round l to three dps.
0.008
Let v = -9948.0000006323 + 9948. What is v rounded to seven decimal places?
-0.0000006
Let o = 5.606219 + 0.089081. Round o to the nearest integer.
6
Let o = 1379070094.0000033 - 1379070249. Let y = -155 - o. Round y to six decimal places.
-0.000003
Let y = 687 - 686.98869. Round y to four decimal places.
0.0113
Let f(q) = -169*q**3 - 8*q**2 - 36*q - 61. Let g be f(-5). Round g to the nearest 10000.
20000
Let l = 66405.644 + -66296. Let h = 110 - l. Round h to one decimal place.
0.4
Let i = -2 - 133. Let q = -135.0228 - i. What is q rounded to three decimal places?
-0.023
Let v = -0.1457 + 0.7346. What is v rounded to 1 decimal place?
0.6
Let w = 7688.99997367 + -7689. What is w rounded to 5 decimal places?
-0.00003
Let j = -2.77 - 227.23. Let h = -230.65 - j. Round h to zero dps.
-1
Let g = -402.9998346 + 403. What is g rounded to 4 dps?
0.0002
Let r = -59069827.00822 + 59070713. Let a = r - 886. Round a to 3 decimal places.
-0.008
Let l = 1.326 - 1.4406. Let c = l - -159.2146. Round c to the nearest integer.
159
Let g = 9602687.76 - 9602740.95999547. Let h = 78.3 - 25.
|
{
"pile_set_name": "DM Mathematics"
}
|
0.5 (b) 0.4 (c) 1/4 (d) x
a
Let j = -35.8 - -33.61. Let p = -4.8 + 4.99. Let f = p + j. What is the closest to 2/3 in -0.5, 0, f?
0
Let f = -812 - -811.6. Let n = 5 + -8. Which is the nearest to n? (a) -0.5 (b) f (c) 0
a
Suppose -3*m + 3*d + d = 14, -4*m - 2*d = -18. Let v = -1 + 3. Let l = 503 - 503. Which is the nearest to m? (a) -3 (b) v (c) l
b
Let m = -2.96 - -3.1. Let p = -0.36 - m. Which is the closest to 0.1? (a) p (b) 0.5 (c) 5/3
b
Let o be -8 - ((-12)/4 - -6 - 4). What is the nearest to o in 1/3, -1/9, 2/7?
-1/9
Let d(w) = 3*w**3 - 3*w**2 + 2*w. Let o be d(1). Let f be o/(-1) + (-160)/(-100). Which is the nearest to f? (a) 1 (b) 0.3 (c) -0.5
c
Let p = -679 - -679.4. Which is the nearest to 1? (a) p (b) 2/15 (c) 13
a
Let d(q) = 5*q**2 - 76*q + 76. Let w be d(1). What is the closest to 0.3 in w, 6/7, -0.3, 1?
6/7
Let k be (-15)/(-12) + (-1)/1. Let a be -5 + 8892/1116 + 3/(-1). What is the closest to k in 2/9, a, 3?
2/9
Let a = 38 + -25. What is the closest to -1/2 in 0.1, a, -0.4?
-0.4
Let t = -27 - -21.6. Let j = 3.04 + t. Let o = -2.4 - j. What is the nearest to o in 3, 4/3, 1?
1
Let u = -24.2 + -7.8. Let r = 37 + u. Which is the closest to 0.2? (a) 1/7 (b) r (c) -1
a
Let k = -1.3 + 0.3. Let l = 52.3 + -52. Let v = -0.3 + l. Which is the closest to k? (a) -3 (b) 0.3 (c) v
c
Let h = 38.7 - 39. Let i = 3.7 - h. Suppose 7 + 3 = 2*j. What is the nearest to 1 in 2/3, j, i?
2/3
Let u = 341/1017 - 2/1017. Which is the nearest to u? (a) 4/3 (b) -2/5 (c) -0.08
c
Let g be 246/(-41) + (-20)/(-2) + -1. What is the nearest to -1 in g, 2/9, 21, -2?
-2
Suppose 13*t + 59 = 46. Let u(h) = -2*h - 1. Let b be u(1). What is the nearest to 1 in t, b, -6?
t
Let n = 19.4 + -19.2. Which is the closest to n? (a) 0.5 (b) -2/3 (c) 4
a
Let r be 1*(-100)/14 + 21/3. Let z = -11/10 - -3/5. Which is the nearest to r? (a) 4 (b) z (c) 0.4
b
Let o(u) = -u**2 - 28*u - 144. Let z be o(-7). Which is the closest to z? (a) 0.2 (b) 2 (c) 0.1 (d) 0.4
b
Let i = 6.5 - 6.8. Suppose 0 = s + s - 6. Suppose r = s*r - 5*k - 20, 3*r + 5*k = -20. Which is the closest to r? (a) 0.2 (b) -0.5 (c) i
a
Suppose 6*a - 20 = 10. Suppose a*j + 3 = -7. Let t = -253/6 - -83/2. What is the nearest to -2/7 in j, t, 0?
0
Let y = 1.37 - 66.37. Let k = -65 - y. Which is the nearest to -0.1? (a) 5 (b) k (c) 3/8
b
Let u = 41 + 17. Let z = u + -57.3. Which is the closest to -1? (a) z (b) 1/5 (c) -4
b
Let z = -1.925 + -0.075. Let o be (-2 - 0)*2/14. Which is the closest to z? (a) -5 (b) o (c) 3/8
b
Let y = 1 - 1.14. Let i = 4.86 - y. Let s = i + 0. What is the nearest to 2/9 in -1, -2, s?
-1
Let j(z) = -z**2 - 12*z + 9. Let q be j(-13). Which is the closest to 0.1? (a) -1 (b) 2/15 (c) q (d) 3
b
Let k(q) = q**2 - 10*q - 466. Let j be k(27). What is the nearest to 0 in 4, 0, j?
0
Let g = 1395 - 1400. Which is the nearest to -0.1? (a) 0.2 (b) 6/13 (c) g
a
Let j = 2.2 - 2. Let r(z) = -9*z + 32. Let k be r(3). Let s be -16 - -17 - (0 + 6/k). Which is the closest to -0.1? (a) -3/10 (b) s (c) j
b
Let h = 23 - 23.1. Let t = 63 + -59. Let f = 5/8 - 31/24. Which is the closest to h? (a) f (b) t (c) 5
a
Let d(y) = 11*y - 124. Let x be d(11). Which is the closest to 3/4? (a) 0 (b) x (c) -10
a
Let g be (-40)/6*(-249)/(-332). Let h be (-4)/(-6) + 2/(-2). What is the closest to 3 in h, 1/3, g?
1/3
Let f = 11.14 + -19.19. Let c = -19 + 11. Let k = c - f. What is the nearest to 0.1 in 5, k, 1?
k
Let j = 21 + -13. Let f(z) = z**2 - 15*z + 17. Let m be f(13). Let w be (-5)/70*(1 + m). Which is the nearest to 1? (a) w (b) j (c) 2
a
Suppose 9*n - 3 = -12. Which is the closest to n? (a) 4/7 (b) -19 (c) -4
a
Let h = -1014.3 - -1014. Which is the nearest to -1/10? (a) 3/2 (b) -3 (c) h (d) -5
c
Let k be ((-215)/129)/((-4 + 2)/6). Which is the closest to -2/5? (a) k (b) -2/11 (c) -2/9
c
Let g = -175.88 + 161. Let n = g - 0.12. Let i = n + 12. What is the nearest to 1/3 in 1/7, i, 2/5?
2/5
Let x = 303 - 302. What is the closest to -1 in x, -0.3, 2?
-0.3
Let b be (0 - 8)/(-4)*(-22)/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
What is 677 minutes before 9:19 PM?
10:02 AM
What is 145 minutes after 7:54 PM?
10:19 PM
What is 88 minutes after 12:04 PM?
1:32 PM
How many minutes are there between 4:08 AM and 5:45 AM?
97
How many minutes are there between 6:47 AM and 6:16 PM?
689
How many minutes are there between 11:48 PM and 1:10 AM?
82
How many minutes are there between 1:44 AM and 1:33 PM?
709
How many minutes are there between 8:30 AM and 9:41 AM?
71
How many minutes are there between 2:12 PM and 4:46 PM?
154
What is 202 minutes after 5:15 PM?
8:37 PM
How many minutes are there between 10:17 PM and 5:54 AM?
457
What is 286 minutes after 4:00 PM?
8:46 PM
What is 538 minutes before 3:16 PM?
6:18 AM
What is 51 minutes after 5:00 AM?
5:51 AM
How many minutes are there between 3:01 AM and 6:07 AM?
186
What is 556 minutes before 10:40 PM?
1:24 PM
How many minutes are there between 7:12 AM and 9:48 AM?
156
How many minutes are there between 4:34 AM and 1:33 PM?
539
What is 56 minutes after 8:41 AM?
9:37 AM
What is 56 minutes after 11:31 PM?
12:27 AM
How many minutes are there between 2:59 PM and 10:47 PM?
468
What is 104 minutes before 11:13 AM?
9:29 AM
How many minutes are there between 4:35 AM and 12:21 PM?
466
How many minutes are there between 11:07 AM and 3:10 PM?
243
What is 405 minutes after 3:00 PM?
9:45 PM
How many minutes are there between 5:10 PM and 5:09 AM?
719
How many minutes are there between 6:15 AM and 7:11 AM?
56
What is 185 minutes after 4:06 AM?
7:11 AM
What is 576 minutes after 4:07 AM?
1:43 PM
What is 77 minutes before 1:20 PM?
12:03 PM
How many minutes are there between 7:39 AM and 3:05 PM?
446
How many minutes are there between 9:43 AM and 10:59 AM?
76
How many minutes are there between 9:21 PM and 6:01 AM?
520
What is 160 minutes after 11:59 AM?
2:39 PM
What is 167 minutes before 7:44 PM?
4:57 PM
What is 254 minutes before 7:16 AM?
3:02 AM
What is 610 minutes before 9:24 PM?
11:14 AM
How many minutes are there between 1:24 AM and 7:23 AM?
359
What is 573 minutes before 12:26 AM?
2:53 PM
How many minutes are there between 4:32 AM and 7:06 AM?
154
What is 185 minutes after 3:32 AM?
6:37 AM
How many minutes are there between 2:23 PM and 2:08 AM?
705
What is 662 minutes before 11:19 AM?
12:17 AM
How many minutes are there between 10:05 AM and 4:44 PM?
399
How many minutes are there between 2:49 AM and 9:45 AM?
416
How many minutes are there between 7:17 PM and 11:21 PM?
244
How many minutes are there between 7:44 PM and 6:49 AM?
665
What is 321 minutes after 11:46 AM?
5:07 PM
How many minutes are there between 8:53 AM and 10:56 AM?
123
What is 609 minutes before 8:11 PM?
10:02 AM
How many minutes are there between 12:11 AM and 10:22 AM?
611
How many minutes are there between 4:35 AM and 12:25 PM?
470
What is 524 minutes after 12:37 PM?
9:21 PM
What is 156 minutes before 9:08 PM?
6:32 PM
How many minutes are there between 11:42 PM and 4:12 AM?
270
What is 676 minutes before 1:59 PM?
2:43 AM
What is 270 minutes before 8:34 AM?
4:04 AM
How many minutes are there between 5:20 AM and 7:11 AM?
111
How many minutes are there between 6:33 PM and 9:38 PM?
185
How many minutes are there between 5:32 AM and 5:57 AM?
25
How many minutes are there between 11:45 AM and 11:44 PM?
719
How many minutes are there between 6:37 AM and 6:20 PM?
703
How many minutes are there between 4:37 PM and 4:39 PM?
2
How many minutes are there between 1:15 PM and 2:05 PM?
50
How many minutes are there between 2:17 AM and 8:16 AM?
359
How many minutes are there between 11:12 AM and 11:14 AM?
2
What is 631 minutes before 1:36 AM?
3:05 PM
What is 514 minutes before 4:11 PM?
7:37 AM
How many minutes are there between 11:58 AM and 2:27 PM?
149
What is 644 minutes before 1:06 AM?
2:22 PM
How many minutes are there between 8:24 AM and 10:14 AM?
110
What is 549 minutes before 7:13 AM?
10:04 PM
What is 2 minutes before 10:28 AM?
10:26 AM
How many minutes are there between 3:48 PM and 1:05 AM?
557
What is 456 minutes before 8:02 PM?
12:26 PM
What is 578 minutes after 10:32 PM?
8:10 AM
What is 599 minutes after 12:18 PM?
10:17 PM
What is 11 minutes before 1:12 PM?
1:01 PM
How many minutes are there between 5:54 AM and 1:03 PM?
429
What is 310 minutes after 8:51 AM?
2:01 PM
What is 184 minutes after 10:37 AM?
1:41 PM
How many minutes are there between 5:02 PM and 2:34 AM?
572
What is 700 minutes after 2:42 PM?
2:22 AM
What is 235 minutes after 6:21 AM?
10:16 AM
What is 197 minutes after 1:58 PM?
5:15 PM
What is 715 minutes before 6:37 PM?
6:42 AM
How many minutes are there between 7:49 AM and 2:03 PM?
374
What is 578 minutes before 2:51 AM?
5:13 PM
What is 279 minutes before 10:04 PM?
5:25 PM
How many minutes are there between 8:34 PM and 8:23 AM?
709
How many minutes are there between 7:15 AM and 10:01 AM?
166
How many minutes are there between 5:36 AM and 2:39 PM?
543
What is 144 minutes after 11:31 PM?
1:55 AM
How many minutes are there between 4:36 AM and 1:35 PM?
539
How many minutes are there between 4:08 PM and 2:47 AM?
639
How many minutes are there between 7:32 AM and 12:37 PM?
305
What is 136 minutes before 4:35 PM?
2:19 PM
How many minutes are there between 4:50 PM and 10:35 PM?
345
What is 90 minutes after 6:52 AM?
8:22 AM
How many minutes are there between 5:48 AM and 12:01 PM?
373
How many minutes are there between 5:50 PM and 3:18 AM?
568
What is 583 minutes before 10:37 PM?
12:54 PM
How many minutes are there between 12:56 AM and 7:38 AM?
402
What is 244 minutes before 11:42 AM?
7:38 AM
What is 97 minutes after 3:22 PM?
4:59 PM
How many minutes are there between 3:53 AM and 3:05 PM?
672
How many minutes are there between 9:50 AM and 5:40 PM?
470
What is 48 minutes before 1:00 PM?
12:12 PM
How many minutes are there between 4:07 AM and 7:34 AM?
207
What is 197 minutes before 9:30 PM?
6:13 PM
How many minutes are there between 5:23 AM and 7:00 AM?
97
How many minutes are there between 1:58 PM and 2:52 PM?
54
How many minutes are there between 1:38 PM and 1:25 AM?
707
What is 367 minutes before 8:36 AM?
2:29 AM
What is 144 minutes before 3:30 AM?
1:06 AM
How many minutes are there between 2:48 AM and 3:07 AM?
|
{
"pile_set_name": "DM Mathematics"
}
|
Let r be ((-27)/(-36))/(3/(-107)). Let z = r + 27. Is 0 at most z?
True
Let x(p) = -p**3 + 17*p**2 + 3. Let a be x(17). Suppose -m + 2 = a. Do 2/91 and m have the same value?
False
Suppose 0*f = 5*f - 25. Let s = -2 - -7. Let b be (2/s)/(11/f). Is b less than or equal to -1?
False
Let d = -1528/19 + 68152/855. Let j = d - -10/9. Is 0.1 not equal to j?
True
Let w = 2.174 + -0.174. Let u(c) = c**3 + c + 4. Let m be u(0). Suppose -3*k - 8 = -x, m*x = -x + 25. Which is smaller: k or w?
k
Let n be 6/(-15)*25/35. Let h = -2 - -3. Which is smaller: h or n?
n
Suppose -10*r + 47 + 63 = 0. Is r at most 11?
True
Let a(s) = -5 + 7*s**2 + s**3 + s + 6*s - 2*s. Let q be a(-6). Suppose -3 + q = 2*t. Which is bigger: -2 or t?
t
Let q = 4 - 3. Let k = 106 + -743/7. Which is smaller: k or q?
k
Let i = -3 + 6. Which is smaller: 5/2 or i?
5/2
Let b be 3/(63/2)*396/24. Are b and 3 nonequal?
True
Let r be (-4)/(-10)*(-5)/3. Which is bigger: r or 2?
2
Let m be (-116)/(-780) - 2/10. Suppose 7*u = 12*u. Is u >= m?
True
Let i be (-10)/(-3)*6/5. Let t = i + -8. Let l be (-2)/4 + 10/(-4). Is l <= t?
False
Let b = 0.0983 + -364.1883. Let d = 366 + b. Let u = d - -0.09. Is -2/7 <= u?
True
Let q be (2 - 3/3) + -1. Let b be (3/(-4))/((-36)/(-32)). Is b > q?
False
Let l = -13 - 77. Which is smaller: l or -89?
l
Let q = 38 - 27. Let d be q/15 - 4/10. Let b be 10/(-6) + (-8)/(-12). Which is bigger: b or d?
d
Suppose 4 = 2*d - 2, -3 = 3*u - d. Let r be u + -3 + (-119)/(-35). Which is bigger: -1 or r?
r
Let t be 0 + 1 + (224/217)/(-1). Does t = 2/3?
False
Let r = -6 - -3. Let d = -5 - r. Which is bigger: -3/2 or d?
-3/2
Let v = -25 - 33. Which is greater: v or -59?
v
Let w(f) be the second derivative of f**5/20 + 5*f**4/12 + f**3/2 - 2*f**2 + 2*f. Let t be w(-4). Let v = -38 + 34. Which is smaller: v or t?
v
Let p be (5 - 0)*2/8. Is 0 equal to p?
False
Suppose -5*p - b + 2 = -0, -10 = -4*p + 2*b. Let g = 0.05 - -0.04. Which is bigger: g or p?
p
Suppose -2*d = -d + v + 1, -v = -3*d + 1. Are d and -2/147 unequal?
True
Let p = -2.361 - 0.039. Which is bigger: p or 0.1?
0.1
Let n(r) = r**2 - 5*r - 4. Let u be n(6). Suppose -61*x = -51*x - 30. Is u at least as big as x?
False
Let c be (-8)/(-28) - 10/(-14). Let b = 53382181/669720 + 7/55810. Let p = 238/3 - b. Which is greater: p or c?
c
Let a(f) = -f + 2. Let r be a(6). Let n(h) = h**2 + 2*h + 4. Let u be n(r). Let z be u/16 + (-1 - 0). Which is smaller: z or 2?
z
Let p = 22 + -21. Which is bigger: 0.1 or p?
p
Suppose -3 = -m + 2, 3*h = -m - 10. Let k = -4 - -7. Let z = k - 3.1. Which is smaller: h or z?
h
Let v = -68/33 + -80/11. Is -9 equal to v?
False
Let h = -166 + 2810/17. Which is bigger: h or -1?
h
Let w be 0*4/12 - -3. Let q be (0 - -1)/((-3)/(-9)). Is q >= w?
True
Let l(w) = w. Let z be l(-2). Which is smaller: -4 or z?
-4
Suppose -5*n = -n - 16. Suppose 0 = n*y + 6 + 10. Is -4 > y?
False
Suppose 0 = 4*o - 0*o. Which is smaller: o or -2/23?
-2/23
Let j be 69/11 + -2 - -3. Let x = j + -1542/209. Which is greater: 0.1 or x?
0.1
Let m(f) = 5*f**3 + f**2 - 2*f + 1. Let j be m(1). Let i = -9 + j. Let b be (-92)/22 - 8/(-44). Is i > b?
False
Let k = -0.5 + 1.5. Is k bigger than 2/19?
True
Let b(v) = -4*v - 8. Let y be b(-6). Suppose 5*p + y = 41. Let c = 0 + p. Which is greater: 6 or c?
6
Let y be (-1*(-1 + 4))/3. Let q(m) = -m**3 + 1. Let x be q(0). Suppose 0 = -k - x. Is y < k?
False
Let p(w) = -2*w**2 + 0 - w**2 - w - 2 - w**3. Suppose 2*k = -3*g - 13, 2*k + 5*g = 5*k - 9. Let y be p(k). Is y smaller than -3?
True
Let i(r) = r - 8. Let z be i(8). Which is greater: z or -2/59?
z
Suppose r = -n + 2 - 3, 4*r - n - 6 = 0. Is r less than 2?
True
Let g be 3 - -33 - (0 + 3). Which is bigger: g or 34?
34
Let q be 17 - 17 - (1 + -1). Which is bigger: q or -7/6?
q
Suppose g = k + 1, 4*k + k = 2*g + 7. Are k and 2/19 nonequal?
True
Let o = 6 + -4.8. Let y = o + -1. Let l be 2/(-3)*54/(-90). Which is bigger: y or l?
l
Let v(x) = -47*x + 2. Let q be v(-3). Let h = q - 717/5. Is h >= 1?
False
Suppose 2*t = 7*t - 5. Let y be 2/3 + 16/(-18). Which is bigger: y or t?
t
Let l = -554/7 + 79. Which is smaller: l or 1?
l
Let m(w) = -2*w**3 + 4*w**2 + 9*w + 1. Let u(p) = 5*p**3 - 13*p**2 - 26*p - 2. Let d(i) = -8*m(i) - 3*u(i). Let r be d(-6). Which is bigger: -3 or r?
r
Let y be 2/1 + -3 - -3. Suppose -h = h + y. Let z be 205/175 + (-3)/5. Which is smaller: z or h?
h
Suppose 0 = -g - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
96))*5 - sqrt(1296)))**2.
1875/18496
Simplify (-5 + (sqrt(200) - (3 + sqrt(200) + sqrt(200))) - -4*(sqrt(200) + -5) - (1 + 5 + sqrt(200) + -5 + -5))**2.
-960*sqrt(2) + 1376
Simplify (5*-2*sqrt(153)*3*6)/(sqrt(99)/sqrt(704) + (sqrt(9) - sqrt(9)*3*-4)) + 4.
-96*sqrt(17)/7 + 4
Simplify -4*(-2 + (sqrt(162)*-3*6 - ((sqrt(162) - (3 + sqrt(162))*-1) + sqrt(162)))*6)**2.
-10289248 - 181440*sqrt(2)
Simplify (-2*(1*((sqrt(288) - (sqrt(288) + 1)) + 0) - 5*(5 + sqrt(288)*-1 + sqrt(288) + sqrt(288)))*2*-3)**2.
449280*sqrt(2) + 1134144
Simplify ((sqrt(7) + (sqrt(7) + -2)*2 + sqrt(7) - (sqrt(42)/sqrt(54))**2) + 3 - ((sqrt(49) - (sqrt(343)*1)/sqrt(7))/((sqrt(70)*2)/sqrt(10)))**2) + -4.
-52/9 + 4*sqrt(7)
Simplify (-1*(sqrt(448) - 6*sqrt(448)*-2))**2*-2 + -4 + (-2 + -2*sqrt(252)*-2)**2.
-147392 - 96*sqrt(7)
Simplify (5*(3*1*sqrt(98) + sqrt(98) - (sqrt(98) - (-2 + 0 + sqrt(98)))))**2*-6.
-235800 + 16800*sqrt(2)
Simplify ((sqrt(65) + sqrt(65)*-2*-6 + sqrt(65) - -6*sqrt(65)*-1)*1)/(3*1*sqrt(180)*-2).
-2*sqrt(13)/9
Simplify (-2 + 5 + 4 + -5 + sqrt(125) + 3 + sqrt(125) + 5)**2 + 2.
200*sqrt(5) + 602
Simplify 5*(((sqrt(77)/sqrt(176))**2 - sqrt(7) - (-3*sqrt(567))**2) + 5*(0 + sqrt(847))*-1)*-4.
1120*sqrt(7) + 408205/4
Simplify -6*-4*sqrt(19)*-1*5 + (2*(sqrt(190) - sqrt(190)*-1 - sqrt(190)))/(sqrt(20)/(-1*sqrt(2))).
-122*sqrt(19)
Simplify 5*(((2 + sqrt(200))*4)**2 + 5 + (sqrt(200) - (sqrt(200) + 1)) + sqrt(200) + sqrt(200)) + (-2*sqrt(200)*-3 + 0 + 1 + sqrt(200))**2.
3440*sqrt(2) + 26141
Simplify ((1*((2*sqrt(198) - sqrt(198) - sqrt(198)) + sqrt(198) - sqrt(198)))/(sqrt(729)*-2))/(-1*(-4*2*sqrt(99) - sqrt(99))) + -4.
-4
Simplify (1 + -2*3*(6*-6*(2 + sqrt(13)) + -4)*-5)**2.
4922640*sqrt(13) + 20357041
Simplify ((sqrt(24) + (sqrt(72)/sqrt(3) - sqrt(24)))*-1)/(sqrt(12) + sqrt(12) + -5*sqrt(48)) + 1 + -2*sqrt(162)*1.
-143*sqrt(2)/8 + 1
Simplify 3*(3 + (sqrt(363)*-2)**2 + sqrt(363)) + -1 + (-1*(sqrt(363) + 0))**2 + -1.
33*sqrt(3) + 4726
Simplify ((sqrt(57) + (sqrt(57) - 1*sqrt(57)*-5) - sqrt(57)*-3*-6)/((3*sqrt(75)*1 - sqrt(75))*-6))**2.
2299/3600
Simplify (3*sqrt(3645) + sqrt(45) + sqrt(180)*-1 + sqrt(180) + sqrt(45))/(1*(-5*sqrt(567))/sqrt(7)).
-29*sqrt(5)/15
Simplify (sqrt(171)*2*-1 + sqrt(171) + sqrt(171) + sqrt(171) + 2*sqrt(171)*-1)/(sqrt(360)/(sqrt(120)/sqrt(48))).
-sqrt(19)/4
Simplify (1 + -1 + sqrt(1584)*1 + sqrt(1584) + 0 + -2)*-3*-2.
-12 + 144*sqrt(11)
Simplify -2*((sqrt(90)/sqrt(3))/sqrt(6)*-6)**2*4 - (-5 + (sqrt(440)/(sqrt(44)/sqrt(4)))/(sqrt(32)/(-1*sqrt(4) - sqrt(4) - sqrt(4)))).
-1435 + 3*sqrt(5)
Simplify (sqrt(160)*1*-6 - -3*(sqrt(160)*2 + sqrt(160)))/((-2*((2*sqrt(224) + sqrt(224) + sqrt(224) - sqrt(224) - sqrt(224)) + sqrt(224)))/sqrt(7)).
-sqrt(5)/2
Simplify (2*(sqrt(204)*-1 + sqrt(204)) - (sqrt(204) - -3*sqrt(204)*-3))/(4*((sqrt(132) - sqrt(132)*-1)*-3)/sqrt(11)) + 2.
-sqrt(17)/3 + 2
Simplify -6*(-6*(1*sqrt(560))/((sqrt(245) - (sqrt(245) + 2*sqrt(245))) + sqrt(5))*1*1 + 3).
-144*sqrt(7)/13 - 18
Simplify -4*((sqrt(1088) - sqrt(17)) + sqrt(17)) - (-4 + sqrt(119)/sqrt(7)) - ((sqrt(2057)*-2)**2 + 1 + 2).
-8227 - 33*sqrt(17)
Simplify (2*(3 + -2 + 3*-5*(-2 + sqrt(68))*-6))**2.
-257760*sqrt(17) + 2331364
Simplify -2*((1 + sqrt(72) + sqrt(72) + 1 + 3)**2*-5 - ((sqrt(72) + 0)*-6 - sqrt(72)*-2*2)*-1).
1224*sqrt(2) + 3130
Simplify 4*((3*(0 + sqrt(539)))**2*3 + 5 + 1 + sqrt(539) + 2)*-4*5.
-1164880 - 560*sqrt(11)
Simplify -4 + 2*(6*4*sqrt(117)*-3 - (2*(-1 + sqrt(117)) - sqrt(117))*-6).
-396*sqrt(13) - 28
Simplify ((-3*sqrt(144)*-2 - sqrt(144))/(-4*2*sqrt(8)))/((-1*sqrt(81) + sqrt(81) + sqrt(81))*-4 + (sqrt(63) + sqrt(567))/sqrt(7)*2).
5*sqrt(2)/32
Simplify ((2*sqrt(360)*5 - sqrt(360))/sqrt(9))/(sqrt(200)*3 - sqrt(32)*-2).
9*sqrt(5)/19
Simplify ((sqrt(180)*3 - sqrt(100)/sqrt(20))/(sqrt(640) + (sqrt(640)*-3 - sqrt(640)) - (sqrt(360)*2 + sqrt(360))))**2.
289/3528
Simplify 3*(-4*sqrt(30)/sqrt(2))/((sqrt(50)*1)/sqrt(10)) - (-3 + -1*sqrt(192)*2)*-2.
-44*sqrt(3) - 6
Simplify 5*(0 + (sqrt(180)*-1)**2*2) + 1 + (-1*sqrt(180)*6 + 5)**2.
-360*sqrt(5) + 8306
Simplify (sqrt(24)/(sqrt(2) + sqrt(18)) + 4)*3 + -4 + (-1*sqrt(12))**2 + 3 + 2.
3*sqrt(3)/2 + 25
Simplify (sqrt(66) + 6*((sqrt(66) + 3*sqrt(66) - sqrt(66)) + sqrt(66)))/(sqrt(54) + sqrt(216)) + (sqrt(99)*3*2)/(sqrt(36)/sqrt(4)*2).
52*sqrt(11)/9
Simplify 1*(-3 + sqrt(1900) + 1 - (-5 + -1 + sqrt(1900) + sqrt(1900) + sqrt(1900))**2) - ((sqrt(114)/(sqrt(30)/sqrt(5)) - (sqrt(19) - (2 + sqrt(931)))) + -3).
|
{
"pile_set_name": "DM Mathematics"
}
|
615*n/2 - 75 = 0.
-5, 2/5, 1
Factor 36*s**4 + 8*s**3 - 36*s**2 - 8*s.
4*s*(s - 1)*(s + 1)*(9*s + 2)
Factor j**3/3 - 2*j**2/3 - 5*j.
j*(j - 5)*(j + 3)/3
Factor 15*i**3 + 6*i**2 - 39*i + 18.
3*(i - 1)*(i + 2)*(5*i - 3)
Find u such that 34*u**5 - 64*u**4 + 26*u**3 + 4*u**2 = 0.
-2/17, 0, 1
Determine u so that 7*u**5/3 - 268*u**4/3 + 2288*u**3/3 - 4286*u**2/3 + 915*u - 162 = 0.
2/7, 1, 9, 27
What is g in 5*g**5/4 - 45*g**4/2 + 135*g**3 - 270*g**2 = 0?
0, 6
Find c, given that -4*c**2/3 - 100*c/3 - 32 = 0.
-24, -1
Let -3*g**3 - 45*g**2 + 48*g = 0. Calculate g.
-16, 0, 1
Factor 2*h**4/5 + 10*h**3 - 162*h**2/5 + 166*h/5 - 56/5.
2*(h - 1)**3*(h + 28)/5
Factor -2*f**3 - 16*f**2 + 18*f + 144.
-2*(f - 3)*(f + 3)*(f + 8)
Find z, given that -4*z**4/7 + 6*z**3/7 - 2*z/7 = 0.
-1/2, 0, 1
Suppose -t**2 + 52*t = 0. What is t?
0, 52
Suppose 2*k**2/5 - 394*k/5 - 396/5 = 0. What is k?
-1, 198
Solve v**2/3 + 2*v/3 - 5 = 0 for v.
-5, 3
Find y, given that -3*y**3/8 - 123*y**2/8 - 165*y - 150 = 0.
-20, -1
Factor -4*d**5/5 - 12*d**4/5 + 96*d**3/5 - 112*d**2/5.
-4*d**2*(d - 2)**2*(d + 7)/5
Factor 2*t**4/3 - 2*t**3/3 - 4*t**2/3.
2*t**2*(t - 2)*(t + 1)/3
Suppose -4*r**3/5 + 72*r**2/5 - 284*r/5 - 72 = 0. What is r?
-1, 9, 10
Factor -2*v**5/9 + 8*v**4/9 - 2*v**3/3.
-2*v**3*(v - 3)*(v - 1)/9
Factor 2*x**5/15 - 32*x**4/15 + 56*x**3/15.
2*x**3*(x - 14)*(x - 2)/15
Factor -4*r**3 - 32*r**2 + 704*r + 3072.
-4*(r - 12)*(r + 4)*(r + 16)
Solve 2*l**5/3 + 2*l**4/3 - 18*l**3 + 18*l**2 + 36*l = 0.
-6, -1, 0, 3
Solve 2*w**4 - 28*w**3 + 112*w**2 - 128*w = 0 for w.
0, 2, 4, 8
Factor 2*p**2/7 + 708*p/7 + 1408/7.
2*(p + 2)*(p + 352)/7
Determine r so that -2*r**3/3 - 18*r**2 + 692*r/3 - 592 = 0.
-37, 4, 6
Factor -123*p**2/4 + 63*p - 3.
-3*(p - 2)*(41*p - 2)/4
What is h in -65*h**3/2 + 327*h**2/2 - 135*h + 4 = 0?
2/65, 1, 4
Factor -4*j**4 + 44*j**3 - 96*j**2 - 144*j.
-4*j*(j - 6)**2*(j + 1)
Factor -12*v**2 + 40*v - 32.
-4*(v - 2)*(3*v - 4)
Solve -69*b**5 + 201*b**4 + 777*b**3 - 141*b**2 - 708*b - 60 = 0.
-2, -1, -2/23, 1, 5
Factor -4*f**3 - 76*f**2 + 10560*f - 154368.
-4*(f - 24)**2*(f + 67)
Factor -9*w**4 - 150*w**3 + 216*w**2.
-3*w**2*(w + 18)*(3*w - 4)
Factor 15*r**4 - 21*r**3 - 15*r**2 + 21*r.
3*r*(r - 1)*(r + 1)*(5*r - 7)
Factor o**5/3 + 11*o**4/3 + 8*o**3 - 4*o**2/3 - 32*o/3.
o*(o - 1)*(o + 2)**2*(o + 8)/3
Find u such that 3*u**4/4 - 431*u**3/4 - 147*u**2/4 + 431*u/4 + 36 = 0.
-1, -1/3, 1, 144
Factor -2*z**2/3 - 4028*z/3 - 8048/3.
-2*(z + 2)*(z + 2012)/3
Factor 12*l**3 + 7264*l**2 + 1096860*l - 734472.
4*(l + 303)**2*(3*l - 2)
Factor -2*p**4/7 + 32*p**3/7 - 144*p**2/7 + 256*p/7 - 160/7.
-2*(p - 10)*(p - 2)**3/7
What is v in 9*v**3 - 1527*v**2/5 + 1383*v/5 + 99/5 = 0?
-1/15, 1, 33
Factor 3*v**3 + 342*v**2 + 12996*v + 164616.
3*(v + 38)**3
Determine o, given that o**2/9 - 4568*o/9 + 5216656/9 = 0.
2284
Factor -5*w**3 - 4635*w**2 - 1076475*w - 1071845.
-5*(w + 1)*(w + 463)**2
Factor 2*c**4 + 32*c**3 + 28*c**2 - 32*c - 30.
2*(c - 1)*(c + 1)**2*(c + 15)
Factor 5*t**3 - 345*t**2 - 705*t - 355.
5*(t - 71)*(t + 1)**2
Factor -2*p**3/3 + 1004*p**2/15 - 5080*p/3 + 2000/3.
-2*(p - 50)**2*(5*p - 2)/15
Determine n so that 4*n**2 - 464*n + 460 = 0.
1, 115
Solve 3*b**2/2 - 1473*b/2 + 1467 = 0 for b.
2, 489
Find j, given that 15*j**3 - 310*j**2 + 1825*j - 2250 = 0.
5/3, 9, 10
Factor -d**3 + 16*d**2 - 77*d + 98.
-(d - 7)**2*(d - 2)
Factor 2*f**2 + 2*f - 4.
2*(f - 1)*(f + 2)
Find l such that -l**3/8 - 3*l**2/8 - 3*l/8 - 1/8 = 0.
-1
Suppose 2*d**3/7 + 108*d**2 + 69906*d/7 - 291848/7 = 0. What is d?
-191, 4
Let -2*u**2 + 316*u - 12482 = 0. What is u?
79
Solve u**3/4 - 153*u**2
|
{
"pile_set_name": "DM Mathematics"
}
|
by n.
90
Let q(f) = 2*f**2 + f + 3. Let p be q(-3). Suppose -y - y = -3*u - p, 2*u = -2*y + 8. Calculate the remainder when y is divided by 4.
2
Let j be (-14)/(-8) + (-2)/(-8). Suppose -x = -3*w + 35, -4*w - 3*x + 62 = -j. What is the remainder when 37 is divided by w?
11
Suppose -8*x - 185 = -9*x. Calculate the remainder when 44 is divided by (-6)/18 + x/15.
8
Let n be 3 - (-39)/(-12) - 1762/(-8). Let u = n + -121. What is the remainder when u is divided by 34?
31
Let n(c) = c**2 + 14*c - 12. Let w = 51 + -66. Calculate the remainder when 32 is divided by n(w).
2
What is the remainder when 169 is divided by (1/3)/((-17)/357) + 100?
76
Let g = 29 + -57. Let z = 45 + g. What is the remainder when 45 is divided by z?
11
Let i(d) = 54*d**2 + 535*d + 15. Let s = 25 - 8. Calculate the remainder when i(-10) is divided by s.
14
Let u(a) = 2*a - 3. Let t be (-1)/3 - 13/(-3). Suppose 3*c - 10 = c - n, -18 = -t*c - 3*n. What is the remainder when u(c) is divided by 3?
0
Suppose -48*a + 1562 = -1126. Calculate the remainder when 333 is divided by a.
53
Suppose 0 = -x - 0*x + 4*u + 7, 4*u - 26 = -2*x. Let f be 290/18 + 13/(-117). Let n = 57 - f. Calculate the remainder when n is divided by x.
8
Suppose -34*i + 18 = -31*i. Calculate the remainder when 39 is divided by i.
3
Let b(y) = 17*y**3 - y**2 + y - 1. Let o be b(1). What is the remainder when 27 is divided by (-40)/(-12)*24/o?
2
Calculate the remainder when 56 is divided by (8/(-3))/(10 - (-4624)/(-459)).
20
Let q = -321 + 337. Calculate the remainder when 27 is divided by q.
11
Let t = 1151 + -308. Let z = 26 - 13. What is the remainder when t/18 + 2/12 is divided by z?
8
Let b = -295 - -602. Calculate the remainder when b is divided by 79.
70
Suppose -2*d + 6 = d. Suppose 1 + 81 = d*x. What is the remainder when x is divided by (-500)/(-24) - (-1)/6?
20
Let k = -33 - -38. What is the remainder when (0 + -2)*5/(-2) is divided by k?
0
Let v = 504 - 487. Let k(o) = o**2 + o + 47. Calculate the remainder when k(0) is divided by v.
13
Let y be ((-2)/4)/((-10)/240). Suppose -2*d - y = -6*d. Let b(p) = -p**3 + 4*p**2 - p - 3. Calculate the remainder when 4 is divided by b(d).
1
Suppose 8*w = -2*x + 4*w + 22, -3*x + 37 = 4*w. What is the remainder when x is divided by 8?
7
Suppose u = t + 2*t - 73, -5*u + 110 = 4*t. Let w = -15 + t. What is the remainder when 28 is divided by w?
8
Suppose 73 = 5*d + 3*a, -5*d - 4*a + 28 = -46. Calculate the remainder when 51 is divided by d.
9
Suppose -144 = q + 3*q. What is the remainder when 264/9 - 4/(-6) is divided by (-24)/q*24/2?
6
Let i(r) = r - 1. Let b(p) = 2*p - 1. Let k(t) = -4*b(t) + 4*i(t). Suppose 71 = -3*d - 2*d + 3*o, 0 = o - 2. What is the remainder when k(d) is divided by 27?
25
Suppose -30*t = -29*t - 3. Suppose 0 = -t*x + 9*x - 84. Calculate the remainder when 25 is divided by x.
11
Suppose 5*z = -3*s - 11, 2*s = -s - z + 5. Suppose -2*b - 40 = -s*b. Calculate the remainder when b is divided by 22.
18
What is the remainder when 62 is divided by (2/6 + 1)*378/56?
8
Suppose 9*k - 63 = 9. Suppose -5*g + 4*i + 87 = 0, 4*g + 66 = k*g - 2*i. Let d(a) = 72*a + 1. Calculate the remainder when d(1) is divided by g.
13
Suppose 0 = -263*p + 298*p - 3955. Calculate the remainder when p is divided by 48.
17
Let f(n) = n**3 + 7*n**2 - 21*n**2 + 9*n**2 - 6 - 2*n. Calculate the remainder when f(7) is divided by 10.
8
Suppose 5*z - 5*m = 30, 4*z - m + 0 = 9. What is the remainder when z/(2/270) - -1 is divided by 35?
31
Suppose 5*q + 692 = 3*n, -2*q + 1 + 3 = 0. Calculate the remainder when n is divided by 37.
12
Suppose m + 8 - 83 = 4*j, 0 = -3*m - 3*j + 165. What is the remainder when 172 is divided by m?
54
Let u be (3 + -2)*(0 + -1). What is the remainder when (3 - 0 - u) + -1 is divided by (-1)/(-2) + 12/8?
1
Let k(r) = -7*r**3 - r**2 - 3*r - 1. Let x be k(-1). Let a = -69 + 124. What is the remainder when a is divided by 6/x + (-636)/(-48)?
13
Suppose -s - 5*s = -0*s. What is the remainder when 92 is divided by (2 - s) + (0/(-3) - -17)?
16
Let q = -700 + 312. What is the remainder when (-1)/(2/q*2) is divided by 25?
22
What is the remainder when 1318 is divided by 3430/26 + (-73)/(-949)?
130
Let j(z) = 78*z - 74. Let o be j(1). Let g be (-26)/(-3) + (-2)/(-6). What is the remainder when g/(9/14) + o is divided by 11?
7
Suppose 2*d + 4*q - 92 = 0, q = 5*q + 16. Suppose -j - d = -3*j. What is the remainder when j is divided by 8?
3
Suppose 4*m + 116 = -5*w, 6*w + m + 71 = 3*w. Suppose f - 2*g = 55, f - 5*g - 60 = -8. Let l = w + f. Calculate the remainder when l is divided by 12.
9
Suppose 4*c + 223 = 10*c + 49. Let s = 176 + -92. What is the remainder when s is divided by c?
26
Let c(k) = k**2 + 13*k - 8. Let l be c(-15). Let v = 3 - l. Calculate the remainder when 19 is divided by (-3)/(-12) - v/4.
4
Suppose g + 21 = 4*g. Let q = 83 - 63. Calculate the remainder when q is divided by g.
6
Let q be 3 + (-236)/(-6) + (-10)/(-15). Let s = -27 + q. Calculate the remainder when s is divided by 5.
1
Let o(h) = h**3 + 4*h**2 - h + 6. Let s = 3 - 0. Calculate the remainder when ((-4)/s)/((-2)/57) is divided by o(-4).
8
Let q = 188 - 102. Calculate the remainder when q is divided by 13.
8
Suppose -41 = 5*v - 21, 2*x + 2*v = 908. Calculate the remainder when x is divided by 9
|
{
"pile_set_name": "DM Mathematics"
}
|
s'th term of -330782, -661173, -991564, -1321955?
-330391*s - 391
What is the y'th term of 47812375, 47812372, 47812369, 47812366?
-3*y + 47812378
What is the v'th term of 93963, 375761, 845391, 1502847, 2348123, 3381213, 4602111?
-v**3 + 93922*v**2 + 39*v + 3
What is the c'th term of 121815, 487258, 1096327, 1949022, 3045343, 4385290, 5968863?
121813*c**2 + 4*c - 2
What is the x'th term of 902, 1982, 3266, 4760, 6470?
x**3 + 96*x**2 + 785*x + 20
What is the a'th term of 56496, 56504, 56514, 56526?
a**2 + 5*a + 56490
What is the l'th term of 7913, 9496, 11079?
1583*l + 6330
What is the r'th term of 79656, 81868, 84080, 86292, 88504?
2212*r + 77444
What is the y'th term of -23406, -4049, 15306, 34659, 54010, 73359?
-y**2 + 19360*y - 42765
What is the a'th term of 536016, 1072006, 1607998, 2143992, 2679988?
a**2 + 535987*a + 28
What is the c'th term of 7659, 69204, 236263, 561594, 1097955?
8793*c**3 - c**2 - 3*c - 1130
What is the l'th term of 190053, 190866, 191679, 192492, 193305?
813*l + 189240
What is the t'th term of 43361, 86749, 130167, 173615, 217093, 260601, 304139?
15*t**2 + 43343*t + 3
What is the s'th term of -36167, -36269, -36321, -36299, -36179?
4*s**3 + s**2 - 133*s - 36039
What is the u'th term of -2057, -4146, -6249, -8354, -10449, -12522?
2*u**3 - 19*u**2 - 2046*u + 6
What is the k'th term of -112197, -112206, -112217, -112230, -112245, -112262, -112281?
-k**2 - 6*k - 112190
What is the f'th term of 3427, 13749, 30957, 55057, 86055, 123957, 168769?
f**3 + 3437*f**2 + 4*f - 15
What is the l'th term of -5, -109, -521, -1433, -3037, -5525?
-32*l**3 + 38*l**2 + 6*l - 17
What is the x'th term of -2478305, -4956611, -7434917, -9913223, -12391529?
-2478306*x + 1
What is the m'th term of 56, 1536, 4418, 8708, 14412, 21536, 30086, 40068?
m**3 + 695*m**2 - 612*m - 28
What is the x'th term of 13570165, 27140342, 40710509, 54280660, 67850789, 81420890?
-x**3 + x**2 + 13570181*x - 16
What is the h'th term of 10815124, 10815104, 10815084, 10815064, 10815044, 10815024?
-20*h + 10815144
What is the i'th term of -14835, -14821, -14807?
14*i - 14849
What is the d'th term of -4591, -4491, -4323, -4087, -3783?
34*d**2 - 2*d - 4623
What is the p'th term of -6817, -13706, -20621, -27562, -34529?
-13*p**2 - 6850*p + 46
What is the x'th term of 304, 86, -276, -788, -1456?
-x**3 - 66*x**2 - 13*x + 384
What is the x'th term of 45635, 45809, 45983, 46157, 46331?
174*x + 45461
What is the r'th term of 30726, 40708, 50690, 60672, 70654, 80636?
9982*r + 20744
What is the v'th term of -5507, -6175, -7281, -8819, -10783, -13167?
v**3 - 225*v**2 - 5283
What is the p'th term of -31166, -52436, -73694, -94934, -116150, -137336?
p**3 - 21277*p - 9890
What is the t'th term of 97351, 194698, 292069, 389476, 486931?
2*t**3 + 97333*t + 16
What is the r'th term of 444982, 890281, 1335580, 1780879, 2226178, 2671477?
445299*r - 317
What is the l'th term of -167197, -334356, -501511, -668662, -835809, -1002952?
2*l**2 - 167165*l - 34
What is the p'th term of -20783, -83178, -187167, -332738, -519879, -748578?
2*p**3 - 20809*p**2 + 18*p + 6
What is the c'th term of 258909065, 258909066, 258909067, 258909068, 258909069?
c + 258909064
What is the k'th term of 4953, 5066, 5173, 5274, 5369?
-3*k**2 + 122*k + 4834
What is the c'th term of 319839, 319850, 319861, 319872, 319883, 319894?
11*c + 319828
What is the v'th term of -205188, -205125, -205016, -204861, -204660, -204413, -204120?
23*v**2 - 6*v - 205205
What is the b'th term of 46772, 46794, 46908, 47162, 47604, 48282, 49244, 50538?
8*b**3 - 2*b**2 - 28*b + 46794
What is the y'th term of 247004, 247167, 247330, 247493?
163*y + 246841
What is the a'th term of 3892, 25970, 62822, 114454, 180872?
a**3 + 7381*a**2 - 72*a - 3418
What is the t'th term of -1251, -1054, -519, 522, 2237, 4794?
28*t**3 + t**2 - 2*t - 1278
What is the o'th term of 86863, 87213, 87563, 87913?
350*o + 86513
What is the d'th term of -165208, -330159, -494852, -659287?
129*d**2 - 165338*d + 1
What is the r'th term of 1562588, 3125363, 4688136, 6250907?
-r**2 + 1562778*r - 189
What is the s'th term of 121708120, 243416240, 365124360?
121708120*s
What is the t'th term of -25980, -207880, -701626, -1663146, -3248368, -5613220, -8913630, -13305526?
-25988*t**3 + 5*t**2 + t + 2
What is the k'th term of -236, -1125, -3048, -6365, -11436, -18621, -28280?
-60*k**3 - 157*k**2 + 2*k - 21
What is the q't
|
{
"pile_set_name": "DM Mathematics"
}
|
4 (d) v
d
Let g = 2633 - 2632.8. Which is the closest to 0.0893? (a) 1 (b) g (c) -0.2
b
Let n be (-100)/580*(-48)/40. Which is the nearest to 0? (a) -0.4 (b) -0.1 (c) 2 (d) n
b
Let s = 204.24 - 204. Let o = 0.64 - s. What is the nearest to -1 in 1/5, -2, o, 2/3?
-2
Let k = -352.21 - -352.2. Let x = 1 + -0.9. Suppose 4 = l - 2*l - 2*q, 3*l + q - 8 = 0. Which is the nearest to x? (a) 0.5 (b) k (c) l
b
Let o = -0.2 + 0.2. Let j = 203 + -203. Let f be 6 + j - 1 - 26/5. What is the nearest to 1/4 in o, f, 1?
o
Let m = -200.04 + 200. Let v = -0.06 + m. What is the closest to 2/5 in v, 1, 13?
v
Let s = 199 + -199. Let g = 153/7 - 22. Which is the closest to s? (a) 0.2 (b) g (c) 0
c
Let k = 0 + -2. Let p = -959 - -965. Let r be (p/3*1)/(-2) - 0. Which is the closest to r? (a) 1 (b) k (c) -18
b
Let i(v) = v**2 + 3*v + 2. Let c be i(4). Let q be 1/1*(5 + (-156)/c). What is the nearest to q in -4, -3, 1?
1
Let r = -1032.8 + 1033.3. Which is the nearest to r? (a) 1 (b) -25 (c) 0.6 (d) -3
c
Let f be (12 - 2) + (-532)/57. What is the nearest to f in 3/4, -10, -2, 14?
3/4
Let y = -2.66 + 2.76. Let m = 83/4 + -49/2. Let l = -4 - m. What is the nearest to y in -3, l, -2/9?
-2/9
Let v = 558 + -559.653. Let h = v - 0.347. What is the closest to 0.1 in h, -4, 5, 0.5?
0.5
Let i = -11.3 + 11.09. Let y = i + 0.21. What is the closest to y in -0.1, 10/3, -3?
-0.1
Suppose 12 = -69*r + 76*r - 3*m, 0 = -4*r - 2*m + 18. What is the nearest to 1 in 0.2, r, -9, 2/35?
0.2
Let x = 1 - 1. Let d(g) = g**3 + 7*g**2 - 7*g + 11. Let k be d(-8). Let l = 26769 + -133841/5. Which is the nearest to x? (a) l (b) -1 (c) k
a
Let d = -2 + -14. Let h = 0.23 - 12.23. Let v = d - h. Which is the nearest to 0? (a) v (b) 2/3 (c) 4/7
c
Let i be (-24)/(-1)*(-350)/1000. Which is the nearest to 1/2? (a) 1 (b) -2/5 (c) i
a
Let j = -2/265 - 508/2915. Which is the closest to -1/2? (a) j (b) 3 (c) -1/13 (d) 5
a
Let t = -6628.4 + 6623.4. Suppose 2*l + 16 = -m - 2*l, 46 = -5*m - 3*l. Let v be 8/(-6)*(-1)/6. Which is the nearest to m? (a) -4 (b) v (c) t
c
Let f = 5 + -3. Let c be (-1)/5*945/(-18)*52/(-182). What is the nearest to 0 in c, f, -4, -7?
f
Let x = 3.74 - 0.74. Let v = 11.5 + -11.3. What is the closest to -1/3 in x, v, -3?
v
Let v = -12 + -618. Let x = 631 + v. What is the nearest to 3/4 in 3, 3/2, x, -2/13?
x
Suppose -40 = -5*y - 5*r, y + 26 = 6*y - 2*r. Suppose 25*m - 57 = y*m. Let g = 11/24 - -1/24. Which is the nearest to g? (a) m (b) -2/9 (c) -4
b
Let z = 43.6 - 52. Let k = 11.4 + z. What is the closest to 5 in 1, k, -4?
k
Suppose -4*t - 2*z - 6 = 0, 7*z - 8*z = -t. Let h = 13 + 6. Let p = 17 - h. Which is the closest to t? (a) p (b) -7 (c) 6/5
a
Let f = 17 - 17.06. Let g = -257 + 257. Which is the nearest to f? (a) -4 (b) g (c) 0.2
b
Suppose 186*l + 10*l - 392 = 0. Which is the closest to 92? (a) l (b) 0 (c) -3
a
Let v = 0.027832 - -2.972168. Let n = 416/11 - 38. Which is the closest to 12? (a) v (b) 0.4 (c) n
a
Let n = -59 - -237/4. What is the nearest to n in 1/15, -5, -6?
1/15
Let h = -64 - -66.55. Let s = h + 0.45. Suppose -4*p - p + 20 = 0. Which is the nearest to -2? (a) -1 (b) p (c) s
a
Let o = 336 - 246. Let z = 90.1 - o. Which is the nearest to 0.1? (a) z (b) 3 (c) 0.4 (d) 0.3
a
Let s = -138 - -138.04. Let f = -177 + 180.04. Let l = s - f. What is the nearest to -0.5 in -1, -1/4, l?
-1/4
Let c = 5.2 - 4.8. Let m = -40 - -26. Let r be (2/2)/(-16 - m). What is the nearest to -2/3 in c, 5, r?
r
Let u = 305.879 + -306. Let l = u - 4.879. What is the nearest to 2/5 in -2/13, -6, l?
-2/13
Let n be (6/8)/((-294)/112). Which is the closest to 1? (a) -1.1 (b) -4 (c) -2 (d) n
d
Let y = -819 - -463. Let l = y + 354. What is the nearest to 0 in 4, 3, l?
l
Let s = 91.02 + -93.02. What is the nearest to 0.1 in 0, s, -2/7, 2/7?
0
Let m = 19734.7 - 19735. Let k = -9 - -6. Which is the closest to -1? (a) m (b) -5 (c) k (d) 0.6
a
Let s = 3.2 + -3. Let p = 94674 - 94670. What is the nearest to 10 in 1, p, s?
p
Suppose -5*w = -s + 13, 5*s - 2*w - 5 = 3*w. Let u = 8050 + -8049.7. Which is the nearest to 2/3? (a) 14 (b) 0.4
|
{
"pile_set_name": "DM Mathematics"
}
|
5 + -251. Which is the closest to -0.1? (a) 5/2 (b) 2/15 (c) t
b
Let w = 2.4 - 6.4. Let f = -4 - -6. Let x = f + -1. What is the closest to x in 0.3, -3, w?
0.3
Let o(t) = 3*t**2 - 3. Let m be o(4). Let h be 8/(-45) - 10/m. Which is the closest to h? (a) 0.4 (b) -5 (c) -0.5
c
Let g = 64 + -43. Let f = 21.3 - g. Which is the closest to 0.2? (a) -0.3 (b) 2 (c) f
c
Let b be ((-2)/5)/(9/15). Let l = 4 + -2. Let x = 2.5 - l. What is the closest to -1 in b, x, -2?
b
Let c = -3 + 3.6. Let z = c + -0.4. Let i = -0.7 + -2.3. What is the closest to z in i, 3, 1?
1
Let g = -2 + 4. Let y = -2.3 + g. Which is the nearest to -1/2? (a) -4 (b) -1/10 (c) y
c
Let h = -4.1 - -0.1. Which is the closest to -3? (a) h (b) -3 (c) 7
b
Let k = 4 + -5. Let q = k + 2. What is the nearest to -2/7 in q, -3, 0.4?
0.4
Let h = 149 + -149.2. Let g = 2 - 3. What is the closest to h in 3, -5, g?
g
Let x = 21.02 + 1.38. Let g = -22 + x. What is the nearest to -2/7 in 2/7, g, -2/7?
-2/7
Let u = 3.5 - 0.5. Which is the nearest to u? (a) 1 (b) 0.4 (c) 4
c
Let y = 0.412 + 0.048. Let j = -0.09 - y. Let f = 0.05 + j. Which is the nearest to -2/5? (a) 4 (b) -3 (c) f
c
Let w be ((-2)/(-3))/((-11)/(-3)). Let t(z) = -z - 27. Let f be t(-26). Which is the closest to 0.1? (a) -2 (b) w (c) f
b
Let w = 0.09 + -0.07. Let d = w - 0.12. What is the closest to d in 5/2, 3/5, -5?
3/5
Let h be 9*4/(0 - -2). Suppose 0*t = -3*t - m + h, 2*t - 5*m = 29. Let u = 3 - t. Which is the closest to -1? (a) 3 (b) u (c) 0.3
c
Let j = 5/4 - 19/12. Which is the nearest to -0.1? (a) j (b) -4 (c) 2
a
Let y = 0.26 - 4.06. Let p = y - -4. Which is the closest to 1? (a) 3 (b) 0.3 (c) p
b
Let z = 7.4 - 7. Let f = -3.6 - -3. Let b = -0.1 - f. What is the nearest to 0.1 in -2/3, b, z?
z
Let j = 3 + -2.5. Let w = -105 + 1153/11. Let o be (-2)/(-6) + 8/(-6). Which is the nearest to 1? (a) o (b) w (c) j
c
Let s = -4.9 + 5.1. Let r = -3 - 0. Which is the nearest to -0.4? (a) s (b) r (c) 0.1
c
Let f = 248/5 - 50. Let q be 8/(-20)*(-5)/7. Let t = 41/222 + -2/111. Which is the nearest to -1/3? (a) t (b) q (c) f
c
Let m = 8 + -7. Let i = 1.4 - m. What is the closest to -1/2 in 1/11, i, -1?
-1
Let a = 19 - 20. Let z be (-22)/40 - (-2)/(-8). What is the closest to 0 in z, a, -2?
z
Let i = -203/4 - -51. Let p = -0.3 - -0.1. Let z = -75 - -80. What is the nearest to i in z, 3, p?
p
Let o = 5.7 + -6. Let g = -1.3 - o. Let z = g - 0. What is the closest to z in -0.3, 3/5, -0.4?
-0.4
Let f = 67/130 - 8/13. What is the nearest to 0 in 0.5, 1, f?
f
Let j = -6 - -5.8. What is the nearest to 2/9 in -1, -3/7, j?
j
Let x = 2 - 2.04. Let s = x + -0.06. Which is the nearest to 2/9? (a) s (b) -1/2 (c) 2/3
a
Let n = -7 + 8. Let t(u) = u**3 + u**2 + u + 26. Let s be t(0). Let a be (6/s)/(12/8). What is the nearest to n in a, 3, -0.1?
a
Let k = 0.16 - -0.34. What is the nearest to -1 in -2/5, k, -2?
-2/5
Suppose 5*j - j - 4 = 0. Which is the closest to 0? (a) -2/21 (b) -2/11 (c) j
a
Let w = -0.092 - 0.408. Let d = -192 + 1726/9. Which is the closest to 1? (a) d (b) -0.2 (c) w
b
Let w = -6 - 3. Which is the closest to 2/3? (a) w (b) 2/15 (c) 1
c
Suppose z - 2*o - 2 = 5, -3*o - 18 = -3*z. Let r be (-8)/(-5)*-1*z. Let d be (-5)/2 + r/(-16). Which is the nearest to 1? (a) 3/4 (b) 3 (c) d
a
Let z be 32/(-12) + 2 + (0 - -1). Suppose 3*r = 2*d + 1, 0 = -3*r - 3*d - 0*d + 6. What is the nearest to z in r, -0.2, -0.4?
-0.2
Let z = 0.69 + 0.31. Which is the nearest to z? (a) -4 (b) 0 (c) 1
c
Let m = 8 + -6. Let k = -96 - -101. Suppose -m*w = -5*g - 2 + 5, 0 = -w + k*g - 4. What is the closest to 0 in w, -4, -5?
w
Let u be (3/(-45))/((-1)/(-3)). What is the closest to 0 in u, -3/7, 0.4?
u
Let t = 24.7 - 25. Let j = 0.04 - 3.04. Let u be 1/(-3)*6/14. What is the closest to 3 in j, t, u?
u
Let c = 15 - 14. Suppose 5*l = 5*k - 40, 6*l - 16 = -2*k + 2*l. Suppose 0 = j + p - 2, 4*j - 5*p = k. What is the closest to c in 0.4, j, 1?
1
Suppose -14*o = -12*o - 10. Let h be 1*1/19*-2. Let p = -1.1 + 0.1. What is the nearest to 0.1 in o, p, h?
h
Let t
|
{
"pile_set_name": "DM Mathematics"
}
|
4337
What are the prime factors of 237590981?
237590981
What are the prime factors of 78456800?
2, 5, 101, 971
List the prime factors of 296664051.
3, 23, 769, 5591
List the prime factors of 2380398444.
2, 3, 1543, 42853
What are the prime factors of 1623492230?
2, 5, 857, 189439
What are the prime factors of 709477?
307, 2311
List the prime factors of 1792255301.
1792255301
What are the prime factors of 677664791?
167, 4057873
List the prime factors of 275530701.
3, 41, 83, 137, 197
What are the prime factors of 150806711?
11, 17, 806453
List the prime factors of 39949973.
7, 37, 154247
List the prime factors of 140692033.
41, 353, 9721
What are the prime factors of 5183037384?
2, 3, 7, 17, 167, 10867
List the prime factors of 1923964956.
2, 3, 577, 92623
List the prime factors of 86712691.
13, 23, 79, 3671
List the prime factors of 1316201796.
2, 3, 7, 13, 401771
List the prime factors of 5160720964.
2, 7, 26330209
What are the prime factors of 127197273?
3, 7, 6057013
What are the prime factors of 396396154?
2, 7, 11, 181, 14221
List the prime factors of 53867512.
2, 6733439
List the prime factors of 1764469892.
2, 139, 313, 10139
List the prime factors of 2172175401.
3, 11, 43, 1530779
What are the prime factors of 65553983?
11, 199, 29947
List the prime factors of 116404080.
2, 3, 5, 13, 37309
List the prime factors of 327636371.
41, 131, 61001
List the prime factors of 71332845.
3, 5, 4755523
What are the prime factors of 823622155?
5, 397, 414923
List the prime factors of 747087354.
2, 3, 13, 163, 6529
What are the prime factors of 1238385345?
3, 5, 82559023
List the prime factors of 553818030.
2, 3, 5, 211, 87491
What are the prime factors of 51256787?
1013, 50599
List the prime factors of 94739416.
2, 709, 16703
What are the prime factors of 1317579564?
2, 3, 7, 23, 681977
List the prime factors of 2735556965.
5, 547111393
What are the prime factors of 147488743?
147488743
What are the prime factors of 1760356818?
2, 3, 11, 71, 125221
What are the prime factors of 318435962?
2, 13, 1237, 9901
List the prime factors of 34248665.
5, 11, 47, 13249
What are the prime factors of 22222255?
5, 11, 23, 1597
List the prime factors of 552645680.
2, 5, 31, 222841
What are the prime factors of 43265084?
2, 10816271
What are the prime factors of 298577625?
3, 5, 709, 1123
What are the prime factors of 101806676?
2, 17, 73, 20509
List the prime factors of 555869453.
19, 67, 353, 1237
List the prime factors of 47179995.
3, 5, 37, 85009
What are the prime factors of 129482766?
2, 3, 7, 342547
What are the prime factors of 333611768?
2, 7, 2027, 2939
List the prime factors of 4637516753.
62323, 74411
List the prime factors of 57170763.
3, 13, 488639
What are the prime factors of 1208065027?
13, 9601, 9679
What are the prime factors of 31865101?
31865101
List the prime factors of 179007914.
2, 181, 494497
List the prime factors of 1569753405.
3, 5, 11, 461, 2293
What are the prime factors of 158743530?
2, 3, 5, 11, 43, 113
What are the prime factors of 208630475?
5, 8345219
What are the prime factors of 3873022155?
3, 5, 41, 699733
What are the prime factors of 5248611864?
2, 3, 29, 313, 2677
What are the prime factors of 5201252461?
701, 7419761
What are the prime factors of 5419842732?
2, 3, 37, 709, 1913
List the prime factors of 17495040.
2, 3, 5, 17, 67
What are the prime factors of 4149877971?
3, 23, 5953, 10103
What are the prime factors of 168644882?
2, 7, 43, 457, 613
List the prime factors of 373653506.
2, 17, 19, 67, 89, 97
List the prime factors of 4687355.
5, 31, 30241
What are the prime factors of 235584669?
3, 233, 337031
What are the prime factors of 232864539?
3, 77621513
What are the prime factors of 137885382?
2, 3, 2553433
What are the prime factors of 662984476?
2, 7, 11, 23, 31, 3019
What are the prime factors of 21104176?
2, 41, 53, 607
What are the prime factors of 33910316?
2, 11, 43, 17923
What are the prime factors of 53430178?
2, 4919, 5431
What are the prime factors of 1499059826?
2, 11, 68139083
List the prime factors of 604588219.
604588219
List the prime factors of 561677870.
2, 5, 13, 1801, 2399
List the prime factors of 64789956.
2, 3, 7, 11, 53
What are the prime factors of 67662248?
2, 8457781
What are the prime factors of 1615819417?
17, 31, 3066071
List the prime factors of 33961634.
2, 7, 37, 65563
What are the prime factors of 129024446?
2, 67, 962869
What are the prime factors of 644579304?
2, 3, 3539, 7589
List the prime factors of 487222210.
2, 5, 17, 47, 211
What are the prime factors of 80428485?
3, 5, 5361899
What are the prime factors of 1775204963?
7, 253600709
What are the prime factors of 3213399343?
7, 11, 41732459
What are the prime factors of 175751199?
3, 13, 71, 21157
What are the prime factors of 129240881?
7, 11, 239779
List the prime factors of 3724268981.
1361, 1511, 1811
What are the prime factors of 10331238?
2, 3, 109, 15797
List the prime factors of 121201145.
5, 13, 23, 81071
What are the prime factors of 1156636992?
2, 3, 7, 860593
List the prime factors of 98732635.
5, 19746527
What are the prime factors of 77705776?
2, 17, 23, 12421
List the prime factors of 1783967691.
3, 11, 37, 251, 5821
What are the prime factors of 722178697?
31, 23296087
List the prime factors of 38789822.
2, 23, 843257
What are the prime factors of 111199361?
7, 13, 1221971
What are the prime factors of 3853543830?
2, 3, 5, 128451461
What are the prime factors of 2041986097?
2041986097
List the prime factors of 939853216.
2, 29370413
What are the prime factors of 1246785251?
1246785251
What are the prime factors of 4523444645?
5, 5647, 160207
List the prime factors of 35524599.
3, 11,
|
{
"pile_set_name": "DM Mathematics"
}
|
he first derivative of k**4 - 13*k**2 - 2404?
4*k**3 - 26*k
What is the third derivative of -56*w**3*z**5 - 3*w**3 - 2*w**2*z**2 + 5*w*z**6 + 83*z**2 wrt z?
-3360*w**3*z**2 + 600*w*z**3
Find the second derivative of 16*g**5 + 5*g**3 - 14*g**2 + g - 5288.
320*g**3 + 30*g - 28
Find the second derivative of -3*i**2 + 14*i + 3 wrt i.
-6
Find the second derivative of -357*r**3*t**3*v**2 + 7*r**3*t**3*v - r**3*t**2 - r**2*t**2 - 3*r*t**3*v wrt v.
-714*r**3*t**3
Find the second derivative of -2*b*j**2*n - 2*b*j*n**3*z - b*j + 2*b*n**2 + 2*j**2*n**3 - 24*j**2*n*z + j**2*z + 3*j*n**2*z - 2*n wrt j.
-4*b*n + 4*n**3 - 48*n*z + 2*z
What is the third derivative of -l**5*s**2 - 105*l**5 + 135*l**2*s + 2*l*s**2 wrt l?
-60*l**2*s**2 - 6300*l**2
What is the third derivative of -3*u**5 + 30*u**4 - 2*u**2 + 97?
-180*u**2 + 720*u
Find the second derivative of 4*l**3*z**3 + 61*l**2*z**3 + 2*l*z**3 - 109*l*z wrt l.
24*l*z**3 + 122*z**3
What is the second derivative of -190*x**4 + 2*x**2 - 1373*x wrt x?
-2280*x**2 + 4
What is the derivative of -25*c**3*u - 6*c**3 - 9*c - 2*u wrt u?
-25*c**3 - 2
What is the derivative of 2*g*r + 2984*g - 3674*r - 2 wrt r?
2*g - 3674
Find the first derivative of 8*c**3*n**3 - 39*c**3 - 9094*n**3 wrt c.
24*c**2*n**3 - 117*c**2
Find the third derivative of -2363*b**2*k**3 + 14*b**2*k**2 + b**2*k - 25*b*k**2 wrt k.
-14178*b**2
Find the first derivative of -i**4 + 182*i**2*s + 243*s wrt i.
-4*i**3 + 364*i*s
Differentiate 4*b*d**2*o**3 + 163*b*d**2*w + 9*d**2*o**3 - d**2*o*w + 3*d**2*w + 2*d*o**3 with respect to b.
4*d**2*o**3 + 163*d**2*w
What is the second derivative of -2*r**3 + 1243*r**2*v**2 + r*v**2 + 2*r*v + 15*r + 80 wrt r?
-12*r + 2486*v**2
What is the third derivative of -44*a**3*c**3*o + 11*a**3*c*o**3 - 7*a**2*c**3*o**2 + 3*a**2*c**2*o**3 + 4*a**2 + 3*a*c**2*o**2 wrt a?
-264*c**3*o + 66*c*o**3
What is the first derivative of 113*r**4 - 1187?
452*r**3
Differentiate -12*g**4*y**2 + 3*g**2*y**2 + 3*g**2 - 618*y**2 with respect to g.
-48*g**3*y**2 + 6*g*y**2 + 6*g
What is the second derivative of f*t**2 + 16*f + 5*t**5 + 9*t**2 - 12*t wrt t?
2*f + 100*t**3 + 18
Differentiate 2185*f**2 - 5897.
4370*f
Differentiate 718*s - 1518 wrt s.
718
What is the second derivative of 251*h**2 + 793*h wrt h?
502
Differentiate -14209*f**2*q + q - 4518 with respect to f.
-28418*f*q
Find the second derivative of 1931*k**2 - 503*k + 2 wrt k.
3862
Find the third derivative of -s**4 + 110*s**3 + 6*s**2 - 19 wrt s.
-24*s + 660
What is the second derivative of j**2*q**2*w**2 - 158*j**2*q**2*w + 2*j**2*q**2 - 2*j*q**2 + 142*q**2*w**2 wrt w?
2*j**2*q**2 + 284*q**2
What is the first derivative of 366*u**2 - 5*u + 2975?
732*u - 5
What is the second derivative of -2786*j**2 - 3091*j?
-5572
Find the second derivative of 287*f**5*j + 2*f**5 - f + 17*j - 3 wrt f.
5740*f**3*j + 40*f**3
Find the third derivative of 231*g**2*v**3 - 199*g**2*v**2 + 8*g**2*v - 8*g*v**4 wrt v.
1386*g**2 - 192*g*v
What is the first derivative of 2*f**2*x + 3*f**2 - 3*f*x**3 + 7*x + 41 wrt x?
2*f**2 - 9*f*x**2 + 7
What is the derivative of 4*j**2 - 69*j + 477 wrt j?
8*j - 69
What is the third derivative of 3*k**5 - 16*k**4 + 143*k**2 wrt k?
180*k**2 - 384*k
What is the third derivative of 2*o*v**3*y**3 + o*v + 155*o*y**3 - 3*v**3*y**2 - 19*y**2 wrt y?
12*o*v**3 + 930*o
What is the third derivative of -156*r**3 - 2*r**2 + 62*r?
-936
Differentiate -42*c**4*v**2 - c**2*v**2 - 357*v**2 wrt c.
-168*c**3*v**2 - 2*c*v**2
Find the first derivative of -2*v**2 + 25*v + 134 wrt v.
-4*v + 25
What is the derivative of -540*b*k*p**3 - 42*b*p - 2*b + p**3 wrt k?
-540*b*p**3
What is the derivative of -5*f**4 + 11*f + 532?
-20*f**3 + 11
Find the second derivative of -5*q**3*s**3 - q**3*s**2 - 57*q**3 + q**2 - 4*s**4 + 2*s wrt s.
-30*q**3*s - 2*q**3 - 48*s**2
Find the third derivative of -12*c*h**5 + 5*c*h**3 + 3*c*h**2 - 2*c*h + 2*h**5 + 4*h**2 wrt h.
-720*c*h**2 + 30*c + 120*h**2
What is the first derivative of 61*h**3*u**2 + h**3*u*x - 4*h**3*x - 6*h**3 - h*x + u**2 wrt u?
122*h**3*u + h**3*x + 2*u
Differentiate -12608*p - 2875 wrt p.
-12608
|
{
"pile_set_name": "DM Mathematics"
}
|
- -2352?
2345.16767345
-5 - -157782566597
157782566592
What is 3.29128 minus -1717916?
1717919.29128
What is -1.32303 - 458722219?
-458722220.32303
What is the distance between 3715458383 and -255?
3715458638
Calculate 1535.8728 - 4.896651.
1530.976149
Work out -45.64441 + -1906917.
-1906962.64441
Calculate 0.288 + 16451815560.
16451815560.288
What is the distance between 150082.5286824 and 287?
149795.5286824
Sum 12.7651629893 and -5.
7.7651629893
11835193823421 - -0.4
11835193823421.4
What is -18542465 minus -13244?
-18529221
What is the difference between -10469054035026 and 0?
10469054035026
Subtract -2460844138 from 2620.
2460846758
-337451294.6793 - -0.01
-337451294.6693
What is the difference between -2 and 280146222.2482?
280146224.2482
Calculate -1909 - -1511158353.
1511156444
What is -49.2760843298 - 83?
-132.2760843298
What is 0.228935 + -294555474?
-294555473.771065
Subtract -3283244028900 from 0.03.
3283244028900.03
-5576 + -11444856
-11450432
Work out -0.7 + -11037470060.
-11037470060.7
What is -659 minus 74080.98962?
-74739.98962
5 + 2.7551100205231
7.7551100205231
Put together -3 and -382461700.69.
-382461703.69
What is the difference between 790 and -11161882464?
11161883254
748576913960 - -6
748576913966
-104139 - 0.0627432
-104139.0627432
Calculate -35667945 + 0.0011.
-35667944.9989
Calculate 20 + -0.12898196226367.
19.87101803773633
-329146 + -5.1166882
-329151.1166882
Put together 334384031 and 6482.
334390513
9153920409570 - -1
9153920409571
What is -1.88 + 941986886?
941986884.12
What is -0.5 take away 7125594257?
-7125594257.5
What is 42 plus 3400888291?
3400888333
Subtract -682122861 from 17.
682122878
What is -0.07545539703 minus 0.12127?
-0.19672539703
-242280612+-1121
-242281733
What is -19 + -108940.41923?
-108959.41923
Sum 0.03375044 and -208466.
-208465.96624956
What is the difference between -18410216842030 and 4?
18410216842034
Total of -5 and 34003508576.
34003508571
What is 1920.71263548 minus -0.3?
1921.01263548
Work out 4361.9 + 11.26390787.
4373.16390787
Add -2544542556 and -15.
-2544542571
Add together 2 and -0.088982876992.
1.911017123008
Sum -39.25 and -9460230862.
-9460230901.25
What is 515620 less than -2860907?
-3376527
What is the difference between 15.486 and -0.073805493?
15.559805493
Work out 0 - -949890392223.
949890392223
What is 0.92577 minus 5.0190026?
-4.0932326
Put together 43037960630 and -2.
43037960628
What is -0.2 plus -375747.1042214?
-375747.3042214
Calculate 1016 - -70571667.3.
70572683.3
What is -0.050595463 plus -1967?
-1967.050595463
Work out 7793478000 - 2887.
7793475113
-6583.4 - 35038.6
-41622
What is 104.62638 take away -49.06037?
153.68675
What is 33105285650 less than -134?
-33105285784
-116768748271 + -0.145
-116768748271.145
What is 37222826.221 less than -67?
-37222893.221
1.3926754+-212976
-212974.6073246
-0.3235321224 + 19766
19765.6764678776
Calculate 0.56 + -1.115630584.
-0.555630584
-0.036495+-3080571
-3080571.036495
Work out 3896123 - -1233775.
5129898
What is 0.9 less than 3885403834.551?
3885403833.651
Sum -1035514.6151267 and -2.
-1035516.6151267
What is 0.0691820598 take away 1.5101?
-1.4409179402
Add together -2.168987 and 55.207.
53.038013
What is 343.1 take away 22376492877?
-22376492533.9
Subtract 0.02 from -27.188988179.
-27.208988179
What is -4019.86 plus -79027593?
-79031612.86
What is -3 take away 35201547787?
-35201547790
Add together 25 and 12121192940.
12121192965
Add 8274052 and 60703769.
68977821
What is 898460104 + -1.8?
898460102.2
What is -0.049826 take away -1335007?
1335006.950174
Put together -14.14 and 52252963848.
52252963833.86
Work out -4 - -32419941111.
32419941107
What is 286048214059 - 0.2?
286048214058.8
Calculate -0.098 + -0.0707746956325.
-0.1687746956325
Work out -0.03524 - -4716774.3983.
4716774.36306
46164808 - -365028
46529836
Add -23.4 and 4304205608.
4304205584.6
What is the difference between -313 and -231.578665?
81.421335
What is -20.7114 + -1182884?
-1182904.7114
What is 4 minus -218291773157819?
218291773157823
-5+3325767296761
3325767296756
Calculate 556646816 + -22.0068.
556646793.9932
Total of -6443227518 and -5.
-6443227523
Put together 53.91 and 10467029.
10467082.91
What is 287026 + 210839.464?
497865.464
What is 2481610 minus -10163337?
12644947
-3942073408381 + 2
-3942073408379
Total of 6.4513 and -14.28475129.
-7.83345129
Work out 0.052992 + 102370533.
102370533.052992
2750066+-16992.339
2733073.661
What is the difference between 17891371 and 14.129?
17891356.871
Total of -0.6 and -1018415054507.2.
-1018415054507.8
3 - -1358435939126
1358435939129
Calculate 3783719527
|
{
"pile_set_name": "DM Mathematics"
}
|
ommon multiple of 92610 and 90?
92610
What is the common denominator of -77/52 and 53/10456?
135928
What is the least common multiple of 632 and 5688?
5688
What is the least common multiple of 129050 and 623?
903350
What is the smallest common multiple of 40 and 23671?
946840
Calculate the lowest common multiple of 51405 and 14900.
1028100
Find the common denominator of -143/60 and 109/1233000.
1233000
Calculate the least common multiple of 681 and 6.
1362
Calculate the smallest common multiple of 519390 and 34626.
519390
Calculate the common denominator of 16/81 and 187/6390.
57510
What is the lowest common multiple of 5224 and 653?
5224
What is the common denominator of -77/2340 and 121/36?
2340
What is the common denominator of -47/258687 and -2/2673099?
8019297
What is the common denominator of 5/8 and -49/12200?
12200
Find the common denominator of 53/9375 and -97/36.
112500
Calculate the common denominator of -63/25850 and 44/3675.
3799950
Calculate the least common multiple of 6 and 19432.
58296
Find the common denominator of 113/390488 and -11/23121.
3514392
What is the common denominator of 109/1480 and 77/19832?
99160
What is the common denominator of 61/119 and 6/61?
7259
Find the common denominator of 23/737344 and 19/8992.
737344
Calculate the common denominator of -61/56 and -48/16639.
133112
What is the least common multiple of 954 and 19769?
355842
Find the common denominator of 107/72456 and 41/40.
362280
What is the least common multiple of 68280 and 426750?
1707000
What is the least common multiple of 36 and 11385?
45540
What is the least common multiple of 24 and 19800?
19800
Calculate the smallest common multiple of 2862 and 540.
28620
Find the common denominator of -151/13494 and -17/5709.
148434
What is the smallest common multiple of 136052 and 13?
1768676
What is the smallest common multiple of 19 and 1915?
36385
What is the common denominator of 28/52155 and -24/5795?
52155
Find the common denominator of 127/162 and -179/49140.
147420
What is the common denominator of -43/121 and 52/4609?
50699
Calculate the common denominator of -50/1272799 and -14/157.
1272799
Calculate the common denominator of 37/15048 and 73/660.
75240
What is the common denominator of -103/10180 and 16/135?
274860
What is the least common multiple of 102 and 52581?
105162
Calculate the lowest common multiple of 693 and 4284.
47124
What is the smallest common multiple of 46840 and 23420?
46840
What is the common denominator of -81/11984 and 65/256158?
2049264
Calculate the lowest common multiple of 200232 and 7776.
800928
Calculate the common denominator of 37/8 and 48/1415.
11320
What is the common denominator of -67/27 and -155/230376?
2073384
What is the smallest common multiple of 345 and 3510?
80730
Calculate the least common multiple of 288 and 22044.
529056
Calculate the common denominator of 6 and 125/7464.
7464
Find the common denominator of -71/51 and 3/23419.
1194369
Calculate the common denominator of 109/35938 and 99/136.
143752
Calculate the least common multiple of 176168 and 74176.
1409344
What is the smallest common multiple of 2952 and 5904?
5904
What is the smallest common multiple of 391333 and 30779?
2739331
Calculate the least common multiple of 3496752 and 22.
38464272
What is the common denominator of -66/4715 and 19/14145?
14145
What is the common denominator of -131/88872 and -22/35?
444360
Calculate the least common multiple of 1523 and 13.
19799
Find the common denominator of 31/4622 and 31/33.
152526
Calculate the smallest common multiple of 72 and 45918.
183672
Calculate the smallest common multiple of 2562 and 2.
2562
What is the common denominator of -67/8 and -23/3424?
3424
Find the common denominator of 19/360 and -173/568890.
2275560
Find the common denominator of -157/566016 and -63/176.
566016
What is the least common multiple of 1647 and 16287?
146583
Calculate the common denominator of 101/103480 and 101/130.
103480
Calculate the common denominator of 27/3808 and -91/1088.
7616
Calculate the common denominator of 3/64 and -93/39136.
78272
What is the smallest common multiple of 3372 and 7587?
30348
What is the common denominator of -93/1274 and 57/56?
5096
What is the smallest common multiple of 50202 and 20?
502020
Find the common denominator of 38/637 and -21/389.
247793
Calculate the common denominator of 117/12830 and 61/184752.
923760
What is the common denominator of -11/106488 and -47/141984?
425952
What is the common denominator of -12/54985 and -1/50?
549850
Find the common denominator of 89/146 and 16/255.
37230
Calculate the common denominator of 89/15854228 and 53/12.
47562684
What is the lowest common multiple of 1264 and 1264?
1264
What is the smallest common multiple of 2981100 and 57000?
29811000
Calculate the least common multiple of 14688 and 1296.
44064
Find the common denominator of -37/6268 and 43/1764.
2764188
Calculate the smallest common multiple of 16 and 28396.
113584
What is the smallest common multiple of 1370460 and 15470?
23297820
What is the common denominator of 79/4275 and -103/150?
8550
Find the common denominator of -107/18 and -45/26786.
241074
Calculate the lowest common multiple of 132210 and 24.
528840
Find the common denominator of 13/97856 and -47/97856.
97856
What is the common denominator of 33/503396 and -41/18?
4530564
Calculate the smallest common multiple of 140 and 120220.
841540
What is the smallest common multiple of 35156 and 1870?
175780
What is the common denominator of 59/222824 and 11/288?
8021664
Find the common denominator of 53/314574 and -89/14170.
1572870
Calculate the common denominator of -149/9750 and 59/2600.
39000
What is the common denominator of -73/6324 and 31/11662?
2169132
Calculate the lowest common multiple of 50 and 2350.
2350
Calculate the lowest common multiple of 58500 and 269100.
1345500
Calculate the lowest common multiple of 19416 and 4854.
19416
Calculate the lowest common multiple of 38255 and 15302.
76510
What is the least common multiple of 10449 and 135?
52245
Calculate the smallest common multiple of 4115 and 1100.
905300
What is the lowest common multiple of 3033 and 189057?
567171
What is the lowest common multiple of 41640 and 33312?
166560
Find the common denominator of 99/202792 and 43/40.
1013960
What is the common denominator of 16/13197 and 151/42?
184758
What is the lowest common multiple of 4680 and 315?
32760
What is the common denominator of -145/936 and -89/16132?
3774888
What is the least common multiple of 1046615 and 345?
3139845
Calculate the common denominator of 53/9074 and -37/674.
3057938
What is the common denominator of -43/10 and -41/160020?
160020
Calculate the lowest common multiple of 122649 and 21.
858543
What is the common denominator of -47/319076 and -87/3509836?
3509836
What is the smallest common multiple of 6062 and 2083596?
14585172
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-5*i*(i - 4)*(i - 1)/2
Determine k so that -4*k**3 + 1/4*k**5 + 0 - k**4 + 12*k + 4*k**2 = 0.
-2, 0, 2, 6
Let o(p) be the third derivative of 1/630*p**7 + 0 - 7/18*p**4 - 9*p + 6*p**2 + 10/9*p**3 + 1/36*p**6 - 1/60*p**5. Find t such that o(t) = 0.
-10, -2, 1
Let x(f) = 8*f**2 + 14*f + 10. Let b(h) = -41*h**2 - 69*h - 51. Let y = 55 + -9. Let j = y + -48. Let z(u) = j*b(u) - 11*x(u). What is d in z(d) = 0?
-2, -2/3
Let q(p) be the first derivative of -p**3/3 - 11*p**2/2 + 29*p - 83. Let o be q(-13). Let 3/4*l**2 + 3/4*l**4 + 0*l + 2*l**o + 0 - 1/2*l**5 = 0. Calculate l.
-1, -1/2, 0, 3
Let n = -1538/3 + 7693/15. Suppose 2*b + 0*b - 6 = -3*x, 15 = -x + 5*b. Factor 0 + x*i**2 - n*i**3 + 1/5*i.
-i*(i - 1)*(i + 1)/5
Let i be (-18)/9*(-44 + 42). Let q(s) be the first derivative of 0*s - i*s**2 - 9*s**4 - 2/3*s**6 + 28/3*s**3 - 14 + 4*s**5. Factor q(u).
-4*u*(u - 2)*(u - 1)**3
Suppose 4 = 3*m - 11. Factor 0*u**m - 1 - u**4 + 35*u**2 + u**5 - 2*u - 33*u**2 - 2*u**3 + 3*u.
(u - 1)**3*(u + 1)**2
Determine l so that -6*l**2 - 123*l**4 + 54*l**4 + 73*l**4 - 10*l**2 = 0.
-2, 0, 2
Suppose -11*w - 2 + 46 = 0. Let s be -1 + (-7)/(-2) + w/(-8). Factor -1/5*x**3 - 3/5*x**s + 1/5*x + 3/5.
-(x - 1)*(x + 1)*(x + 3)/5
Factor -16928/13 - 192/13*o**2 + 2/13*o**3 + 4968/13*o.
2*(o - 46)**2*(o - 4)/13
Let r = 64 - 113. Let t = 55 + r. Suppose -6 + 3 - 5*z**3 + t + 3*z**2 + 1 + 12*z = 0. Calculate z.
-1, -2/5, 2
Let x(n) be the third derivative of 0*n**3 + 7/15*n**5 + 2/105*n**7 - 1/6*n**6 - 1/2*n**4 + 7*n**2 + 0*n - 2. Factor x(i).
4*i*(i - 3)*(i - 1)**2
Let d(k) = 19*k**2 - 2845*k + 5698. Let i(a) = 42*a**2 - 5688*a + 11397. Let c(h) = 9*d(h) - 4*i(h). Factor c(v).
3*(v - 949)*(v - 2)
Suppose 40*h**5 - 2352*h - 987*h**3 + 32*h**4 - 26*h**5 - 7545*h**2 - 1163*h**2 - 671*h**3 = 0. Calculate h.
-7, -2/7, 0, 12
Suppose -19*t + 5*t = -66*t - 19*t. Factor t + 0*a**2 + 0*a - 44/3*a**3 + 4/3*a**4.
4*a**3*(a - 11)/3
Let h(g) be the second derivative of 0*g**2 + 27*g + 11/28*g**4 + 3/140*g**5 + 5/7*g**3 + 0. Find s such that h(s) = 0.
-10, -1, 0
Let z(w) = 4*w - 23. Let o be z(6). Let v be (-3380)/(-5148) - (o + (-8)/9). Solve -v - 2/11*q**2 - 10/11*q + 2/11*q**3 = 0.
-1, 3
Let f(n) be the second derivative of -641601*n**5/10 - 1068267*n**4/2 + 16016*n**3/3 - 20*n**2 + 3995*n + 2. Suppose f(z) = 0. Calculate z.
-5, 2/801
Let f(v) be the first derivative of v**6/2 + 416*v**5/15 + 986*v**4/3 - 20294*v**3/9 + 12175*v**2/6 + 1250*v - 7138. Suppose f(s) = 0. Calculate s.
-25, -2/9, 1, 3
Let c(m) = -7*m - 33. Let h be c(-13). What is x in -7*x**2 + 2*x**3 - h + 3*x**3 - 47*x**2 - 114*x - 3*x**3 = 0?
-1, 29
Let r(x) = -2*x - 7. Let z be r(-5). Let o be 6 + (3 - 5) + (-18)/9. Solve -4831 + 4819 + 7*b**o + 3*b**z - 3*b + 5*b**2 = 0 for b.
-4, -1, 1
Let t(y) be the second derivative of y - 3/8*y**3 + 9/4*y**2 + 1/48*y**4 - 54. Factor t(c).
(c - 6)*(c - 3)/4
Suppose 1152 = -19*i + 1209. Let a(d) be the first derivative of 1 + 5/3*d**i - 5/4*d**4 - 5*d + 5/2*d**2. Suppose a(c) = 0. Calculate c.
-1, 1
Let u(c) = -526*c + 27354. Let w be u(52). Find x such that -10/7*x - 2/7 - 2*x**w - 6/7*x**3 = 0.
-1, -1/3
Let a be 1*2 - (-66)/12. Suppose -80 = -11598*v + 11558*v. Factor -5/4*t**v - a*t + 35/4.
-5*(t - 1)*(t + 7)/4
Let t(f) = 175*f**4 - 475*f**3 + 355*f**2 - 55*f. Let s(g) = 29*g**4 - 79*g**3 + 59*g**2 - 9*g. Let q(o) = -35*s(o) + 6*t(o). Find d such that q(d) = 0.
0, 3/7, 1
Let k be (-260)/325*((-25)/(-10) - 3). Factor -1/10*g**3 - 1/5 - 1/2*g - k*g**2.
-(g + 1)**2*(g + 2)/10
Let y(c) be the first derivative of -7*c**6/6 - 239*c**5/5 - 2057*c**4/4 - 289*c**3/3 - 229. Factor y(l).
-l**2*(l + 17)**2*(7*l + 1)
Let s(k) be the third derivative of 0 - 67*k**2 - 14/15*k**5 + 1/6*k**4 + 28/3*k**3 - 1/30*k**6 + k. Determine f, given that s(f) = 0.
-14, -1, 1
Factor 5/3 + 1/6
|
{
"pile_set_name": "DM Mathematics"
}
|
979.95 + 1980. Let n = -2.9 + 3. Which is smaller: n or v?
v
Let p = 40/3 + -35/3. Let c(x) = -x + 9. Let k be c(7). Which is bigger: k or p?
k
Let u be 0/((5 - -1) + -3). Suppose -5*d = 2*w - 112, -5*d + w + 132 = -2*w. Let s be ((-18)/(-84))/(d/(-21)). Which is bigger: s or u?
u
Let l be -9*(-5 - 88/(-4)). Is -155 less than l?
True
Let x be (-48)/(-30) + 6/15. Suppose 50 - 48 = -x*r. Does -1/128 = r?
False
Let j(s) = s**3 - 11*s**2 + 11*s - 6. Let x be j(10). Suppose -34 = -2*g + 2*h, -h + 43 = -0*g + x*g. Is g bigger than 11?
True
Let o = 22 + -23. Suppose -9 = 4*q - 2*q + p, -25 = 4*q - 5*p. Let v be q + 12/4 + 0. Which is smaller: o or v?
v
Let g = -61/329 - -2/47. Let d(u) be the first derivative of -u**2 - u + 34. Let p be d(0). Which is smaller: p or g?
p
Let x = 796 - 795.8. Which is bigger: 5 or x?
5
Let u = 6815 + -347596/51. Is -2 less than u?
True
Let n(z) = -z**3 + 3*z**2 + 2*z - 12. Let t be n(6). Let g = -106 - t. Is 10/17 < g?
True
Let w = -5221 - -3994064/765. Which is greater: w or -1?
w
Let z be (1 - 0)/(45/(-45)). Which is greater: z or 8/69?
8/69
Let w(p) = -p - 3. Let x be w(0). Let g = -16/5 - x. Let z = 1837 + -1836.7. Is g at most as big as z?
True
Let s = -14.21 + -2.79. Which is greater: -5/4 or s?
-5/4
Suppose z + 4*o = 2, z + o = 4*o + 9. Let m = z - 11. Is 4 at least m?
True
Suppose -4*o - 1940 = 5*v, 1285 = -4*v - 2*o - 261. Let h be (-1 - (-218)/(-12)) + (-64)/v. Is 1 > h?
True
Let x(u) = -u**2 - 8*u - 12. Let n be x(-6). Which is smaller: n or -4?
-4
Let s = -7553/765 - -83464/32895. Let c = s + 1/387. Is c < -8?
False
Let r = -0.1 - -0.1. Let s = 627 + -563. Which is smaller: s or r?
r
Let b = 121 - 120.8. Is b < 1.1?
True
Let j = 41 - 17. Let f be (-7)/44 + j/(-32). Does -1 = f?
False
Suppose -2*m + 9*m = -7. Which is bigger: m or -2/161?
-2/161
Let d = -7/17 - -69/85. Suppose 21 = -w - 3*w - 5*c, -2*w - 9 = 3*c. Let v be (-8)/(-84)*w/6. Is v greater than or equal to d?
False
Let c = -552249/53 + 10421. Which is greater: c or 0?
c
Suppose 3*s - 5*q + 235 = 0, 0 = -s - 36*q + 38*q - 77. Which is smaller: s or -83?
s
Suppose 0 = -5*i - 4*f - 0*f - 403, -f - 412 = 5*i. Are i and -422/5 unequal?
True
Let s(y) = 2*y**3 - 26*y**2 - 16*y + 3. Let b be s(13). Which is smaller: -206 or b?
-206
Let q = 9 + -25. Let z = q - -19. Suppose 5*n - 5*x = 2*n + z, 5*n - 5*x = 5. Is 0 at least n?
False
Suppose 95*g - 225 = 90*g. Is 45 smaller than g?
False
Suppose 5*y - 4 = 26. Let a = -8 - -12. Let b be (-3 + y - a)/(-1). Is -2/47 equal to b?
False
Let u(o) = 4*o + 2. Let f be u(-1). Which is greater: f or -17?
f
Let y be 34/119 + (-6143)/(-182). Let q = y - 69/2. Which is smaller: 0 or q?
q
Let b = 212 - 211.84. Are 3 and b nonequal?
True
Let g = 20.7 - 0.7. Let u = g - 19.7. Is -0.1 at least as big as u?
False
Let r = 24355/522 - 37/174. Is r > 47?
False
Let u be -2 - 104/(-14) - 5. Let o(x) = x**2 - x + 1. Let k be o(2). Let q = k + -3. Which is bigger: u or q?
u
Suppose -8*a + 1 = -7*a. Let i be (-8)/(-5) - 2/(-5). Which is greater: a or i?
i
Let s(k) be the second derivative of -k**4/24 - 2*k**3/3 - 2*k**2 - 4*k. Let v(u) be the first derivative of s(u). Let r be v(-4). Which is bigger: r or 2/29?
2/29
Suppose 512 + 373 = 5*q. Let z = q + -2659/15. Let p = z - -7/15. Which is smaller: 7 or p?
p
Let l = 44 + -44. Which is smaller: 4/201 or l?
l
Let v = 309 + -919/3. Suppose 4*d - 20 + 4 = 0. Do v and d have different values?
True
Suppose -4*b = 4*i - 6*b - 18, b = -4*i + 27. Let s be (-5)/(-45) + (-2)/(-4)*i. Is 3 < s?
True
Let c be (-2)/(-8) + 82/(-8). Let y be 0/(c/(-2) + -3). Is y at most as big as -2?
False
Let k(i) = i**3 + 7*i**2 + i + 15. Let c be k(-7). Suppose q - c = -7. Which is greater: -1/22 or q?
q
Let j = 20003 - 339907/17. Which is bigger: j or 8?
j
Let o be (-8)/(-6) - (-10)/(-30). Let z be (-35)/78 - (-4)/12. Which is smaller: z or o?
z
Let c = -6.8 + 27.8. Is c at most 0?
False
Let o be (4/42)/((-13)/7020). Let p = 6854/133 + o. Which is smaller: 0.1 or p?
0.1
Let c = -1 - -3. Suppose a = -c*a + 9. Let b(m) = -3*m - 30. Let s be b(-11). Is a greater than s?
False
Suppose -2*g + 2*n = 264, g + n = 5*n - 135. Are g and -2/3 unequal?
True
Let j = -3602/15 + 240. Is 12 < j?
False
Let y = -66.43 - -66. Let u = y + 1.43. Does u = 12?
False
Let z = -1.1 + 0. Suppose 39*m = 41*m + 5*r + 27, 0 = 2*m - 3*r - 13. Is z greater than m?
False
Let u be (108/(-210))/((225/(-42))/(-5)). Let w = u + 67/25. Which is bigger: 1 or w?
w
Let x = 6 + 16. Suppose -x = -5
|
{
"pile_set_name": "DM Mathematics"
}
|
2*m**2 + 1. Let p be u(-1). Let j(f) = -2*f. Let i be j(-2). Suppose 0*r + i*k = -r - 9, -2*r + 26 = -3*k. Solve r*z = p*z + 12 for z.
3
Let i be ((-6)/8 - 0)*-4. Let g(u) = u**2 - 12*u + 7. Let k be g(8). Let m = k - -27. Solve -i*h + m = 11 for h.
-3
Suppose k - 1 = -0*k. Let h = k + 2. Solve 0 = -h*i + 5 + 7 for i.
4
Let b be (-1 - 3/5)*-20. Suppose 0 = -a - 3*a + b. Suppose 0*y + a = 2*y. Solve -k + 12 = -y*k for k.
-4
Let s = -21 - -27. Solve 4*n = 2*n + s for n.
3
Let p(m) = -m**3 - 2*m**2 - 3*m - 1. Let x be p(-2). Suppose x*w - t = 24, -w = w - 2*t - 16. Solve -w*b + 1 = -15 for b.
4
Suppose 2*r - 22 = -0*r. Let u = r - 7. Solve -2*z - 4 = -u*z for z.
2
Let c be 48/8*(-1)/(-2). Solve -2*x + 5 = -c*x for x.
-5
Let d(i) = -4*i - 2. Let j be d(-4). Let a = -10 + j. Solve -a*v = v for v.
0
Let v(l) be the second derivative of -l**3/6 + 6*l**2 - 4*l. Let r be v(8). Solve 5*n = r*n for n.
0
Suppose -2*n - 5*v - 20 = -v, 0 = -2*n + 2*v + 10. Solve -5*f + 15 + 10 = n for f.
5
Let w be 30/4*(-2)/(-3). Let h = -2 + -1. Let u be (8/h)/4*-9. Solve -w*a + u = 1 for a.
1
Let p(j) be the third derivative of -j**4/8 + j**3/2 - 2*j**2. Let n be p(-4). Solve 3*z - n = -0*z for z.
5
Let q(t) = t**2 + 4*t + 1. Let x be q(-4). Suppose -7 + x = -3*v. Suppose 0 = v*l - 4*l. Solve l*u = u for u.
0
Let z(m) = 4*m**2 - 2*m + 1. Let q be z(1). Let y be (-64)/(-36) - 2/(-9). Suppose 14 = 4*b - y. Solve j + q*j = -b for j.
-1
Let n(y) = 2*y**3 - 4*y**2 + 2*y. Let i be n(2). Suppose t + 9 = i*t. Let q(u) = u**2 - u - 1. Let w be q(t). Solve w*l + 8 = -17 for l.
-5
Suppose 4*c - 5 = 7. Suppose -2*t - 4 = 4*a, c*t - 3 = 3*a + 5*t. Let u be (-4)/(-5)*(a - -6). Solve -u*d - 8 = 12 for d.
-5
Let w be (-1 - 3/2)*-2. Suppose -w*x + 27 = 7. Solve x*j = 2*j for j.
0
Let d be 12/36 - (-4)/6. Solve 4 = j + d for j.
3
Let l be -4*(-2)/(-8)*-2. Suppose l*w - w = 0. Suppose -9 = -4*t - u, 0*t = -t - 3*u + 5. Solve -t*k = -w*k for k.
0
Suppose 2*u - l + 10 = 0, 3*u - 4*u = 4*l - 13. Let d = u - -9. Solve d*m - m = 10 for m.
2
Let y be 3 - 0 - (2 - 2). Suppose -4*u - 5 = u + 3*x, 4*x + 14 = -y*u. Suppose -3*a + 19 = 7*z - 2*z, 4*a = -z - 3. Solve 3*s - u*s = z for s.
5
Let k be 6 + (0 - 1)*1. Suppose -1 = -2*x + k. Suppose -8*l + 55 = -3*l. Solve 4*m + x = l for m.
2
Suppose 0*f + 5*f + 540 = 0. Let a = 12 - 8. Let d be a/10 + f/(-30). Solve p = d*p for p.
0
Suppose -5*l + 32 = 3*t, 4*t + 4*l - 46 = -6. Suppose 0 = -z + 3*q - q - t, 5*q = 5*z + 20. Solve -z = 2*y - 3*y for y.
1
Let f = -78 - -93. Solve 5 = 5*t - f for t.
4
Suppose -257 + 707 = -5*q. Let u be (-6)/10 - q/25. Solve -u*x = x for x.
0
Let m(n) = 8*n + 10. Let q be m(-1). Solve 0 = q*r + 4 + 6 for r.
-5
Let z be (-3)/2*(-8)/6. Let k(c) = c**2 + 10*c + 26. Let w be k(-6). Let v be 2/4*(1 + -1). Solve v = w*b + z - 0 for b.
-1
Suppose 19*f - 100 = 14*f. Let b(p) be the third derivative of p**6/120 + p**5/30 + p**2. Let j be b(-2). Solve 5*x - x + f = j for x.
-5
Let c(d) = d + 1. Let m be c(-1). Suppose 2*t = 7*t - 10. Suppose m = -q - 2*k - 1, k - 3 = -t*q + 1. Solve -q*h + 1 = -2*h for h.
1
Let p be (5/2)/((-2)/(-4)). Let g = 95 + -92. Solve -p*d - 17 = g for d.
-4
Suppose 2 = -2*n - 0. Let q be (n/(-1) + -1)/(-2). Solve 7*h - 2*h - 10 = q for h.
2
Suppose 0 = -3*u + 23 + 22. Suppose i + 2*i - 3 = 0. Let o = u + i. Solve -x + o = 3*x for x.
4
Let b(i) = -i**2 - 10*i - 12. Let v be b(-8). Solve -2*q + 2 + v = 0 for q.
3
Let j(p) be the third derivative of p**7/1260 - p**5/15 - 3*p**2. Let v(g) be the third derivative of j(g). Let c be v(3). Solve -c = -d - 2*d for d.
4
Suppose 2*m - 5*r + 19 = 0, -5*r = -0*m + 3*m + 16. Let b(o) be the first derivative of -o**2/2 - 5*o - 8. Let y be b(m). Solve 0 = -y*t + 7*t + 5 for t.
-1
Let c = -43 + 47. Solve -c*f - 12 = -0*f for f.
-3
Let v(i) = i**3 - 4*i**2 + 3*i. Let b be v(1). Solve 6 = 3*m - b*m for m.
2
Let r = 27 - 27. Solve -4 = -c - r*c for c.
4
Let s = -7 - -13. Suppose -6*p + 9*p = s. Solve 6 + p = -4*u for u.
-2
Let a(y) = -12*y + 4. Let c be a(3). Let f be (-2)/6 - c/6. Suppose -2*x - f*s + 1 =
|
{
"pile_set_name": "DM Mathematics"
}
|
04956 + 132961. What is v rounded to the nearest 10000?
90000
Let g(h) = 19*h**2 - 10*h - 1. Let k be (12 + -11)*1*10. Let v be g(k). Let q = 7499 - v. What is q rounded to the nearest one thousand?
6000
Let d = 15 + -98. Let b = -83.045 - d. What is b rounded to two decimal places?
-0.05
Let x = -76 - -177. Let k = -100.47 - -10.67. Let v = k + x. Round v to the nearest integer.
11
Let g = -1130 + 1182.3. Round g to the nearest integer.
52
Let m = -0.522 - 13.098. Round m to zero dps.
-14
Suppose 5*v + 14 - 4 = 5*k, -6 = -3*k - 5*v. Let p(l) = 301*l. Let y be p(1). Suppose 779 + y = -k*q. What is q rounded to the nearest 100?
-500
Let i = 202.449 + -0.449. Let y = -202.00596 + i. Round y to three decimal places.
-0.006
Let l = 4423.0004762 - 4423. What is l rounded to 4 decimal places?
0.0005
Let k = 2.9 + -3.5. Let d = k - -1.54. What is d rounded to 1 dp?
0.9
Let v = -0.00703725 + 0.0071. Round v to 6 dps.
0.000063
Let h = 15224 - 27635. Let a = h - -12405.551. Let v = -0.049 - a. Round v to 0 dps.
5
Let s = -126.3400006459 + 126.34. Round s to seven decimal places.
-0.0000006
Let g = 0.0618 - 0.0618000702. Round g to 7 decimal places.
-0.0000001
Let f = -42 + 15. Let o = f - -53. Let l = 26.034 - o. What is l rounded to two dps?
0.03
Let s = 1804.26 - 1832. Round s to zero decimal places.
-28
Suppose -828*a = -832*a + 29372. What is a rounded to the nearest 100?
7300
Let a = -0.2114356 - -0.2115. What is a rounded to 5 dps?
0.00006
Let i = 0.0522 - -29.0478. Round i to 0 decimal places.
29
Let a = 0.505 + -0.109. What is a rounded to 1 decimal place?
0.4
Let v(s) = -3*s - 7. Let j be v(6). Let i be ((-8)/(-10))/(10/j). Let r(g) = 77*g**3 + 3*g + 2. Let b be r(i). Round b to the nearest 100.
-600
Suppose 2*g - 36320 = 5*l, 10*l = 4*g + 14*l - 72696. What is g rounded to the nearest 1000?
18000
Let a(w) be the third derivative of 0 - 1/60*w**5 + 0*w - 19/6*w**3 - 2/3*w**4 + 10*w**2. Let x be a(-13). What is x rounded to the nearest 100?
0
Let c = 26774 + -26773.9988581. What is c rounded to 5 dps?
0.00114
Let l = -1282.99999904 - -1283. What is l rounded to 7 dps?
0.000001
Let y = -3015.99996646 + 3016. What is y rounded to 6 decimal places?
0.000034
Let f(i) = -333332*i - 16. Suppose 0 = -o - 4*o + 60. Let m be f(o). Round m to the nearest 1000000.
-4000000
Suppose 0 = 20*i + 13 - 53. Let s be -6020005 + (12 + -2)/i. Round s to the nearest one hundred thousand.
-6000000
Suppose 16856 = -5*a - 27544. What is a rounded to the nearest one thousand?
-9000
Let c be -4*(-10)/(-8)*-109000. Round c to the nearest ten thousand.
550000
Let i(g) = 2*g**2 + 4*g + 3. Let x be i(-2). Suppose -j + h = 3*h + 5, 12 = x*j - 3*h. Let k be -2 - (j + -1870002) - -1. Round k to the nearest 100000.
1900000
Let g = 764512 + -420812. Round g to the nearest one hundred thousand.
300000
Let n be (-3 - -2) + 10/5. Suppose -7*j + 6*j = n. Let u be 7968/(25012/(-25000) - j). Round u to the nearest 1000000.
-17000000
Let h = 0.9 + -0.61. Let v = h - -16.71. Let m = -17.00009 + v. What is m rounded to four dps?
-0.0001
Let c(q) = 5425999*q**3 - 3*q**2 - 3*q - 1. Let h be c(-1). What is h rounded to the nearest one million?
-5000000
Let q = 0.0629 + 261.9371. Let y = q - 262.0263. What is y rounded to three dps?
-0.026
Let u = -73423 - -73433.2934. Let l = 32.7676 + u. Let m = l + -43. What is m rounded to 2 dps?
0.06
Let g = 39238.7 + -39223.69912. Let m = 13 + 2. Let b = m - g. What is b rounded to four dps?
-0.0009
Let m = -1095207.99995 - -1095251. Let c = m + -43. What is c rounded to 4 dps?
0.0001
Let a = -269079944.22 - -269090890.409717. Let w = -10944.53 + a. Let k = w + -1.66. What is k rounded to five decimal places?
-0.00028
Suppose 1 = -3*u + 4. Suppose -2*b + u = -3. Let d be 7292974/(-143) - b/11. What is d rounded to the nearest ten thousand?
-50000
Suppose 0 = p - 6*p. Suppose 3*o = -p*a + 3*a - 13645548, 5*a - 13645540 = 3*o. Let v = o + 3148520. What is v rounded to the nearest one million?
-1000000
Suppose 12*k - 3248000 = -2*k. What is k rounded to the nearest 10000?
230000
Suppose -112 = -3*q + 5*y, 5*q - y = 10*q - 224. Let g = q + -75. What is g rounded to the nearest 10?
-30
Let r = 12.6 + -12. Let m = 1.5 - r. Let d = -0.4 - m. What is d rounded to 0 dps?
-1
Let z = -240965.5157696 + -8.5292304. Let c = 241084.044939 + z. Let x = 110 - c. What is x rounded to five decimal places?
0.00006
Let o = -0.071 + 0.07100002. Round o to seven decimal places.
0
Let d = -0.5 + 11.1. Let j = 2.4 + d. Let g = j + -13.0000058. Round g to 6 dps.
-0.000006
Let j = 20.599989 - 20.6. What is j rounded to 5 dps?
-0.00001
Let o = 27269 + -16992. Let b = o + -5547. Round b to the nearest 1000.
5000
Let h = 2.77 + -3. Let l = 0.135 + h. What is l rounded to two dps?
-0.1
Let v = -2 - -1.89. Let k = 3.29 - v. Let i = 3.296 - k. What is i rounded to 2 decimal places?
-0.1
Let s = -0.19 + -14.06. Let q = -15 - s. Round q to 1 dp.
-0.8
Let p = -0.49 + -423.
|
{
"pile_set_name": "DM Mathematics"
}
|
ect to d.
62*x**2 + 2*x
Find the second derivative of 2146*q**2 + 3608*q wrt q.
4292
Find the first derivative of -556*n**4 - 272 wrt n.
-2224*n**3
What is the second derivative of 14*a*s**2 + 77*a*s - 2*s**2 - s wrt s?
28*a - 4
Find the third derivative of -14*k**6 - 4*k**3 - 981*k**2 wrt k.
-1680*k**3 - 24
What is the second derivative of b*h - 10*b*r**4 + 6*b*r + b + 10*h*r**5 + h wrt r?
-120*b*r**2 + 200*h*r**3
What is the first derivative of -375*l*q**2 + 160*l + 2 wrt q?
-750*l*q
Find the first derivative of 10*h*i - 60*h*n - 1022*i*n - i wrt h.
10*i - 60*n
Differentiate -7*q*w**3 + 147*q + 3*w with respect to w.
-21*q*w**2 + 3
Find the third derivative of -109*l**5*u - 4*l**5 + 2*l**3*u - l**2 - 461*u wrt l.
-6540*l**2*u - 240*l**2 + 12*u
Find the second derivative of -3*a*l**2 + 5*a*l - 8*a + 35*l**5 - l wrt l.
-6*a + 700*l**3
Differentiate 111*k**2*r**3*w - k**2*r**3 - 157*k*r**3 wrt w.
111*k**2*r**3
Differentiate -220*b*l**3 + 190*l**3 with respect to b.
-220*l**3
Differentiate f*q**2 - 2*f*q - 7*f*x**2 - 23*q**2 - x**2 wrt f.
q**2 - 2*q - 7*x**2
What is the second derivative of 140*x**5*z - 6*x*z - 3*x wrt x?
2800*x**3*z
What is the third derivative of -y**5 - 2*y**4 + 1217*y**3 + 8671*y**2 - 1?
-60*y**2 - 48*y + 7302
Find the first derivative of 3688*m**4 + m**2 - 173 wrt m.
14752*m**3 + 2*m
Find the first derivative of -5*r**2 - 31*r - 40 wrt r.
-10*r - 31
Find the first derivative of -300*i*o - 2*i*z**2 - 12*i*z - o*z**2 wrt o.
-300*i - z**2
Find the second derivative of -h**3 + 18*h**2 + 6*h - 13.
-6*h + 36
Find the second derivative of 13*b*h*s**2 + b*h*s - 7*b*s - 2*h*s**3 - h*s**2 - 3*s wrt s.
26*b*h - 12*h*s - 2*h
What is the third derivative of d**2*k**6 + 89*d**2*k**3 - d**2*k + d*k**2 + 312*d*k wrt k?
120*d**2*k**3 + 534*d**2
What is the first derivative of -974*q + 368?
-974
Differentiate -19*k**3*x**3 - 3*k*x**3 - x**3 - 249*x**2 wrt k.
-57*k**2*x**3 - 3*x**3
Differentiate -u**3 - 91*u - 192 wrt u.
-3*u**2 - 91
Find the second derivative of 194*c**3 - c**2 + 20*c - 4.
1164*c - 2
Differentiate 6*p**2 - 702*p + 402.
12*p - 702
Find the first derivative of -17*i*k*m + 18*i*k*o**2 - i*m + 8*k*m*o - 2*m + 2*o**2 wrt i.
-17*k*m + 18*k*o**2 - m
Find the third derivative of i**4 + 103*i**3 + 2*i**2 - 4.
24*i + 618
What is the second derivative of -50*d**2*h - 6*d*h - 26*d + 2*h wrt d?
-100*h
What is the third derivative of 74*d**5*o + 2*d**5 - 8*d**4 + d**2*o + d**2 - 301*d*o + 3*o wrt d?
4440*d**2*o + 120*d**2 - 192*d
Differentiate 1224*i**3*s**2 - 4*i*s**2 - 145*s**2 + 4*s - 2 with respect to i.
3672*i**2*s**2 - 4*s**2
Find the first derivative of -4902*f*h**2 - 2284*h**2 wrt f.
-4902*h**2
Differentiate 439*q + 238 wrt q.
439
Differentiate -47*i**2*t + 5*i**2 + 4*i + 2*t**2 wrt t.
-47*i**2 + 4*t
Differentiate -1073*m**3 - 2*m*p**2 + 3*p**2 + 104*p - 18 with respect to m.
-3219*m**2 - 2*p**2
Find the third derivative of -115*t*y**4 - 5*t*y + 3*t + 3*y**6 + 49*y**2 + y wrt y.
-2760*t*y + 360*y**3
What is the derivative of 3*s**3*u - 623*s**3 - 2*s*u + 873*u - 1 wrt s?
9*s**2*u - 1869*s**2 - 2*u
What is the second derivative of 11*i**3 - 11*i**2 - 197*i?
66*i - 22
What is the derivative of -66*t**3 + t**2 + 495?
-198*t**2 + 2*t
What is the second derivative of -1731*m**2*o**2*z**2 + 3*m**2*o**2*z + 2*m**2*o*z**2 + m**2*z**2 - 204*m*o*z**2 - 3*o*z wrt o?
-3462*m**2*z**2 + 6*m**2*z
What is the third derivative of -4*o**5 - o**4*v**2 - 2*o**4*v + 4*o**2*v - 7*o*v**2 - 3*v wrt o?
-240*o**2 - 24*o*v**2 - 48*o*v
Find the second derivative of i**2*m**2 + 2184*i**2 + 2*i*m**2 - 3487*m**2 wrt i.
2*m**2 + 4368
Find the third derivative of 6*d**2*w**3 + 2*d**2*w**2 + 38*d*w**2 + 6*w**6 + 11*w**2 wrt w.
36*d**2 + 720*w**3
What is the third derivative of -7700*i**6 + 196*i**2 + 23?
-924000*i**3
Find the second derivative of -386*f**3*j**3 + 2*f**3 - 23*f*j + 4*j wrt j.
-2316*f**3*j
What is the derivative of 4*a**3*n**2 - 5*a**3*n*p - 6*a**3 - 3*a*n**3*p + 92*n**3*p - 5*n**3 - 2*n wrt p?
-5*a**3*n - 3*a*n**3 + 92*n**3
Find the first derivative of 2144*s - 1623.
2144
What is the derivative of 6*l**2*r**2 + 2*l**2*r + 4*l**2 + 14*l - 398*r**
|
{
"pile_set_name": "DM Mathematics"
}
|
= 3*w - 1733, -517 - 649 = -2*w - 2*c. Let l = w - -587. Suppose -2*d - 2*z + l = 0, 3*z - 5*z = 3*d - 1749. Is d prime?
False
Suppose -10*b = -5*o - 6*b - 14, -5*o - b - 9 = 0. Is (o/(16/12674))/(7/(-28)) a prime number?
True
Let a(u) = -u**3 + 4*u**2 + u + 9440. Let i be a(0). Suppose 5*z - 15750 = -5*v, 8*z + 5*v - i = 5*z. Is z prime?
False
Let u(x) = 85*x - 54. Suppose -16*s - 1 = 47. Let m(z) = 84*z - 53. Let g(n) = s*m(n) + 2*u(n). Is g(-13) a composite number?
False
Suppose -7*h + 55 = 4*h. Let l(s) = 14*s**3 - 7*s**2 + 14*s - 24. Is l(h) composite?
False
Let a(d) = -2*d**3 + 26*d**2 + d - 4. Let l be a(13). Let n(x) = 19*x**2 + 3*x - 11. Is n(l) prime?
False
Let d(v) = 424*v**2 + 62*v + 29. Is d(4) composite?
True
Let k(u) = 2794*u - 2665. Is k(86) composite?
False
Let s(i) = 473*i - 238. Is s(19) prime?
False
Let l = 243 - 250. Is -2*(l - 24210/12) prime?
True
Let g = -191 + 193. Suppose -2*p + 15 = p, 30791 = 3*b - g*p. Is b prime?
True
Let f = 37 - 29. Suppose q + f = 2*u, q + 7 - 24 = -3*u. Suppose -a = q*a - 69. Is a a prime number?
True
Suppose 99*j + 1173 = 38991. Is j prime?
False
Let t(a) = 353*a**3 + 4*a**2 - 3*a - 91. Is t(14) a prime number?
False
Let r = -597917 + 877428. Is r prime?
True
Suppose 0 = 2*y, -3*j - 3*y + 0 + 6 = 0. Suppose -j*r = -2*t - 246, 2*r = 3*r + 2*t - 111. Is r composite?
True
Let k be 524*(-3)/(-78) - (-36)/(-234). Suppose -19*w + k*w - x = 16709, 0 = 4*w + 4*x - 66820. Is w a composite number?
True
Let x be (-126)/54*(-3)/(-2)*-10. Let z be (-21)/x - (-13246)/10. Suppose -2*y - z = -6*y. Is y composite?
False
Let i(h) = 324*h**2 - 14*h + 10. Let y be i(7). Let f = y + -7667. Is f prime?
False
Suppose -3*a = 3*i - 87, 4 - 101 = -3*i - 5*a. Suppose -20*q + i*q + 5*k - 68953 = 0, -4 = -4*k. Is q prime?
False
Is 6/(-4)*-18 - -302536 a composite number?
False
Suppose 7*s - 12512 = 6*s - 3*x, -2*s + 5*x + 25035 = 0. Suppose 2*q - 3*q = 2*w - s, -w - 3*q + 6260 = 0. Is w a prime number?
True
Let w(q) = 51*q + 6. Let u be w(2). Let x = u - 103. Suppose -4*a - t + 26329 - 10566 = 0, 0 = -5*t - x. Is a prime?
False
Let y(g) = -466*g**3 + 34*g**2 + 94*g - 21. Let t(o) = -156*o**3 + 12*o**2 + 31*o - 7. Let c(p) = 7*t(p) - 2*y(p). Is c(-6) a prime number?
False
Let g(w) = -5*w + 17. Let n(a) = -13 - 7*a**2 - 4*a + 8*a**2 + 10*a - 6. Let d(z) = 5*g(z) + 4*n(z). Is d(-13) a prime number?
False
Suppose u = -236 + 52. Let o = 994 + -591. Let x = o - u. Is x a composite number?
False
Let r(k) = 2*k**3 + 13*k**2 + 3*k - 21. Let o be r(-6). Is (-14561)/o - (-3)/(9/(-2)) composite?
True
Let o(m) = 125*m**2 + 95*m + 53. Is o(19) a prime number?
False
Suppose t + 7 = m, -5*t - 24 + 5 = -m. Let o(n) be the third derivative of 41*n**5/60 - n**4/8 + n**3/6 - n**2. Is o(t) a composite number?
False
Let g = -207403 - -327340. Is g composite?
True
Suppose 0 = 3*w + 5*q - 1044417, 87*w + 696268 = 89*w + 5*q. Is w prime?
True
Let n(m) = 8686*m**2 - 51*m + 93. Is n(2) composite?
True
Suppose -4*r = -2*l + 2, -3*l - 2 + 12 = r. Let k = 1750 - -428. Suppose l*t + 615 - k = 0. Is t a composite number?
False
Suppose 56*g - 35*g = 669543. Is g a prime number?
True
Let m be (-1 - 0)*-1 - 1638. Suppose -37*q + 9*q = -71232. Let o = m + q. Is o prime?
True
Suppose j = 4*f + 71810, -j - 16207 = 3*f - 88024. Suppose 0 = -6*d + j + 141300. Is d prime?
False
Suppose -369 - 12120 = -3*q. Let g = q - 2920. Is g a composite number?
True
Let c(g) = -69*g**3 - 5*g**2 - 3*g + 6. Let t(b) = b**3 + b + 2. Let u(n) = -c(n) - 4*t(n). Is u(4) a composite number?
True
Let s be (12/(-45))/(3 - 235/75). Let x be -4*3/(24/(-290)). Suppose x + 1125 = s*i. Is i a composite number?
True
Suppose -f = k - 75873, -925*f + 920*f = -3*k + 227587. Is k prime?
True
Suppose a = -4*j + 2646065, 0 = 35*j - 34*j - 2*a - 661523. Is j a prime number?
True
Let y(o) = -3*o + 17. Let w be (2/4*-4)/((-1)/2). Let z be y(w). Is 5/z*-1 - -1004 composite?
True
Let j be ((-23)/8 - -3) + 760/64. Is (-33)/j*(-63 - 5) a composite number?
True
Let n(w) = -2*w**3 + 4*w**2 - 2*w. Let o be n(0). Suppose 6*s + 8290 - 114736 = o. Is s prime?
False
Suppose 0 + 0 = 6*f. Suppose n + 2*b - 6659 = f, 49234 - 15879 = 5*n - 5*b. Is n a prime number?
False
Let n(m) = -m**2 - 60*m + 32. Let c be n(-61). Suppose -8 = -3*o - 2*k, 6*k = 3*k + 3. Let v = o - c. Is v a composite number?
False
Suppose 2*l + 18 = 5*r + 4
|
{
"pile_set_name": "DM Mathematics"
}
|
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