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s the smallest common multiple of 200 and 69522300?
139044600
Calculate the lowest common multiple of 607308 and 124644.
28543476
Find the common denominator of -17/44628864 and 117/560.
223144320
What is the smallest common multiple of 38078355 and 20308456?
304626840
Find the common denominator of -88/21525 and 103/2050.
43050
What is the common denominator of 9/33663500 and -6/36253?
235644500
Calculate the least common multiple of 12237145 and 375885.
110134305
Calculate the common denominator of -151/16728 and 29/11152.
33456
Find the common denominator of 53/2235 and -35/596298.
2981490
Find the common denominator of 27/2980468 and -42/745117.
2980468
What is the lowest common multiple of 12 and 110130?
220260
Calculate the common denominator of -51/52 and 37/84354452.
84354452
What is the common denominator of -23/1229032 and 27/51640?
6145160
What is the smallest common multiple of 70681112 and 97424?
141362224
Calculate the smallest common multiple of 4512824 and 153436016.
153436016
Calculate the smallest common multiple of 576620 and 131050.
2883100
Find the common denominator of -53/12 and 131/20515548.
20515548
Calculate the least common multiple of 1585672 and 1982090.
7928360
What is the common denominator of -81/12824 and -83/61358031?
490864248
Calculate the smallest common multiple of 169850 and 3010.
1188950
Calculate the smallest common multiple of 1636680 and 272780.
1636680
Calculate the lowest common multiple of 408 and 9643394.
1967252376
What is the lowest common multiple of 8656 and 207744?
207744
What is the least common multiple of 55568448 and 328?
55568448
Calculate the common denominator of -7/4957200 and -53/64152.
54529200
What is the common denominator of 115/672768 and 11/640?
3363840
Find the common denominator of -101/60927984 and -79/3384888.
60927984
Find the common denominator of -111/2207590 and 39/13420.
4415180
What is the common denominator of 61/317512 and -73/22543352?
22543352
What is the lowest common multiple of 34999662 and 12?
69999324
Calculate the smallest common multiple of 37270314 and 524934.
37270314
What is the common denominator of -151/940446 and 50/717?
224766594
What is the smallest common multiple of 80716631 and 18770?
807166310
What is the common denominator of 11/137744 and -151/49381224?
98762448
What is the common denominator of -43/1163636 and 105/4654544?
4654544
Calculate the smallest common multiple of 61921 and 4997.
16285223
Find the common denominator of 37/10086770 and -61/18.
90780930
Find the common denominator of -41/54000978 and 73/81001467.
162002934
What is the lowest common multiple of 1206 and 7829352?
7829352
What is the common denominator of -101/25872 and -191/276332364?
1105329456
Calculate the least common multiple of 68295392 and 6026064.
204886176
Calculate the least common multiple of 13238256 and 6619128.
13238256
Calculate the lowest common multiple of 637 and 55575.
2723175
What is the common denominator of -37/23868621 and 64/297?
262554831
Calculate the common denominator of 89/155088 and 155/21953568.
197582112
Calculate the lowest common multiple of 12105 and 1428.
5761980
What is the lowest common multiple of 496592343 and 73569236?
1986369372
Calculate the least common multiple of 2772 and 980133.
11761596
Calculate the lowest common multiple of 25836 and 15381032.
46143096
Calculate the common denominator of -64/6720201 and 7/127096.
53761608
Find the common denominator of 37/19600 and -109/3251150.
26009200
What is the lowest common multiple of 268716 and 2015370?
4030740
What is the common denominator of 83/130600 and 73/1110100?
2220200
Find the common denominator of -92/6139395 and -22/110025.
30696975
Calculate the smallest common multiple of 37863366 and 252.
1590261372
What is the common denominator of -157/411672 and 81/74375408?
223126224
Calculate the smallest common multiple of 107514 and 305712.
166001616
What is the common denominator of 123/97384 and 3/1210?
58917320
What is the least common multiple of 51191 and 226703?
1586921
Calculate the lowest common multiple of 386 and 13510.
13510
Calculate the common denominator of -9/49022470 and 11/580.
98044940
What is the lowest common multiple of 5663091 and 15101576?
45304728
What is the lowest common multiple of 41896176 and 41896176?
41896176
Calculate the lowest common multiple of 1777095 and 17574.
103071510
Calculate the common denominator of 47/1853460 and -47/2131479.
42629580
Calculate the lowest common multiple of 1561520 and 14.
10930640
What is the smallest common multiple of 190817740 and 30?
572453220
Calculate the smallest common multiple of 735 and 695877.
24355695
What is the common denominator of -45/752 and -23/3587584?
168616448
Calculate the least common multiple of 7310925 and 45.
7310925
What is the least common multiple of 380040 and 304032?
1520160
What is the common denominator of 161/9540 and -31/13140?
696420
What is the lowest common multiple of 329412432 and 8?
329412432
What is the smallest common multiple of 22830704 and 3488?
45661408
Find the common denominator of -107/3612 and -11/1041684.
44792412
Calculate the lowest common multiple of 3864 and 181692.
8357832
What is the common denominator of 25/222426 and 15/121?
26913546
Calculate the lowest common multiple of 44622540 and 108.
133867620
Calculate the common denominator of -97/384 and -139/7408512.
7408512
Calculate the common denominator of 73/1664880 and 131/5946.
1664880
What is the common denominator of -85/253386 and -113/321804?
647147844
Find the common denominator of -125/42 and 22/1594983.
22329762
Calculate the smallest common multiple of 585500 and 680.
19907000
What is the least common multiple of 552 and 2081040?
2081040
What is the lowest common multiple of 2754584 and 112432?
5509168
Calculate the common denominator of 5/7946 and 45/9776.
38840048
What is the common denominator of 133/128262 and -47/16113?
688895202
Calculate the smallest common multiple of 60291 and 1917.
4280661
What is the common denominator of -37/42940 and 11/343520?
343520
Calculate the lowest common multiple of 1470646 and 574.
422075402
Find the common denominator of -151/36951822 and 79/6.
36951822
Find the common denominator of -57/1030 and -22/7055603.
70556030
What is the lowest common multiple of 99414 and 7337700?
154091700
Calculate the least common multiple of 76473304 and 12.
229419912
Calculate the lowest common multiple of 1208465 and 35895.
3625395
Calculate the common denominator of 101/2158 and 9/8424998.
109524974
Calculate the smallest common multiple of 3035699 and 28.
84999572
What is the least common multiple of 86358 and 1252191?
2504382
Calculate the common denominator of -109/2443716 and -82/18513.
2443716
Calculate the least common multiple of 586 and 29990015.
59980030
Calculate the lowest common multiple of 74515 and 9210054.
46050270
Find the common denominator of -51/62061470 and -57/1111.
682676170
Find the common denominator of 59/986390 and 11/789112.
3945560
What is the common denominator of -37/1582616 and 85/1916?
1582616
Find the common denominator of 119/123408 and -50/952127.
137106288
What is the common denominator of -109/120190 and -3/343400?
2403800
Calculate the lowest common multiple of 155 and 2326023.
11630115
What is the smallest common multiple of 20399184 and 15384?
20399184
Find the common denominator of -7/28272 and 71/734464.
68305152
What is the smallest common multiple of 12 and 1099455?
4397820
What is the smallest common multiple of 67880 and 6754060?
13508120
Calculate the least common multiple of 18579 and 13174200.
144916200
Find the common denominator of -99/590 and -62/27213.
16055670
Calculate the common denominator of -29/1253718 and 19/10029744.
10029744
Find the common denominator of -61/139403 and 55/80446.
20352838
Calculate the common denominator of 56/278433 and 33/32607598.
293468382
Find the common denominator of 14/17901 and -99/670.
11993670
Calculate the common denominator of -107/18155592 and -145/20749248.
145244736
What is the common denominator of -1/30040 and -35/39052?
390520
Calculate the common denominator of 16/39063427 and 2/692523.
1054712529
What is the lowest common multiple of 1796760 and 898380?
1796760
Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
o**5/15 + o**3/3 - 54*o**2. Let f(r) = 2*h(r) - q(r). Give a(f(i)).
-92*i**4
Let f(a) = -5*a. Let y(d) = -72*d**2 - 360. Let r(z) = -z**2 - 2. Let h(v) = 540*r(v) - 3*y(v). What is f(h(x))?
1620*x**2
Let h(t) = -t**2. Let l(d) = 541*d - 263*d - 389*d. Calculate l(h(u)).
111*u**2
Let c(z) be the second derivative of -13*z**6/180 + 5*z**3/2 + z**2 + 31*z. Let v(k) be the second derivative of c(k). Let p(l) = -3*l. Determine v(p(j)).
-234*j**2
Let z(d) = -d. Let a(u) = 775*u - 1541. Calculate a(z(l)).
-775*l - 1541
Let q(m) = -2*m**2. Let g(s) = -32*s**2 + 2. Let z(c) = 1444*c**2 - 24. Let k(r) = 12*g(r) + z(r). Calculate k(q(b)).
4240*b**4
Let t(x) = -1859*x. Let o(s) be the second derivative of -s**4/4 - 544*s + 3. Calculate o(t(f)).
-10367643*f**2
Let j(a) = -7*a**2 - 5*a + 600. Let c(z) = -28*z**2 - 21*z + 2520. Let r(y) = -5*c(y) + 21*j(y). Let s(w) = -15*w + 12. What is s(r(t))?
105*t**2 + 12
Let j(l) be the second derivative of l**4/12 + 3*l**2/2 + l - 7. Let h(r) be the first derivative of j(r). Let v(i) = 2*i + 0*i + 0*i. Determine h(v(a)).
4*a
Let q(c) be the third derivative of c**4/12 + 36*c**2. Let v(p) = -p - 1. Let j(f) = -61*f - 2. Let y(g) = -j(g) + 4*v(g). Determine q(y(a)).
114*a - 4
Let b(h) = 2*h. Suppose j + 4 = -1. Let v(t) = -6*t. Let m(y) = j*v(y) - 14*b(y). Let l(g) be the third derivative of -11*g**4/24 + 14*g**2 - 1. Give l(m(z)).
-22*z
Let o(x) = -47*x + 10. Let i be o(-2). Let j(u) = i - 93 - 10*u - 3*u**2 + 10*u. Let m(a) = a. What is m(j(k))?
-3*k**2 + 11
Let n(d) = -22*d**2 - 20*d + 4. Let z(t) = -190*t**2 - 175*t + 35. Let g(o) = -35*n(o) + 4*z(o). Let a(r) = 684*r. What is g(a(k))?
4678560*k**2
Let o(x) = x. Let p(v) = 131093*v**2. What is p(o(s))?
131093*s**2
Let w(n) = -n**2 + 42. Let h(v) = 42418*v. Give w(h(r)).
-1799286724*r**2 + 42
Let s(a) = 36*a. Let l(u) = 54*u + 32879. What is l(s(n))?
1944*n + 32879
Let l be -10 - -12 - (0/2)/(-1). Let c(f) = 10*f**2 + 7 - 11*f**l + 4*f**2. Let k(i) = i**2 + 4. Let u(s) = -4*c(s) + 7*k(s). Let b(m) = m**2. Give b(u(j)).
25*j**4
Let r(l) = 2*l**2 + 7. Let v(f) = -10*f**2 - 3*f - 3. Suppose 23 = 4*d + 31. Let s(a) = 8*a**2 + 2*a + 2. Let g(k) = d*v(k) - 3*s(k). What is g(r(u))?
-16*u**4 - 112*u**2 - 196
Let h(o) = -22*o**2. Let f(t) = -219729*t**2. Calculate h(f(s)).
-1062178335702*s**4
Let n(o) = -2*o + 345. Let u(f) = -f**2 + 844*f. Calculate u(n(t)).
-4*t**2 - 308*t + 172155
Let h(r) = -2*r + 0*r + r. Suppose -104*k + 3055 - 871 = 0. Let j(d) = 19*d + 21*d + k*d - 82*d + 25*d. Calculate j(h(b)).
-4*b
Let v(x) = 38*x**2. Let g(s) = 110*s**2 + 3*s - 2. Let l(a) = -78*a**2 - 2*a + 2. Let t(f) = 2*g(f) + 3*l(f). What is v(t(p))?
7448*p**4 - 2128*p**2 + 152
Let c(v) = -7*v**2. Let m(y) = -54092*y**2. Determine m(c(x)).
-2650508*x**4
Let h(n) = -n. Let y(x) = -81*x + 18. Let o(r) = 0 - 24*r + r + 5. Let v = -1002 - -1007. Let s(g) = v*y(g) - 18*o(g). Calculate s(h(b)).
-9*b
Let y(z) be the first derivative of 10*z**3/3 + 346. Let i = -4 - -6. Let f(l) = 2*l**2 - 5*l**i - 7*l**2 + 7*l**2. What is f(y(n))?
-300*n**4
Let d(c) = -2*c**2. Let g(v) be the third derivative of -229*v**5/30 + 719*v**2. What is d(g(t))?
-419528*t**4
Let l(j) be the second derivative of -j**7/1260 + 17*j**4/12 - 12*j. Let z(h) be the third derivative of l(h). Let o(b) = -7*b - b - b. What is o(z(g))?
18*g**2
Let m(i) = 23*i + 98. Let t(r) = -297*r - 1323. Let b(s) = 27*m(s) + 2*t(s). Let g(v) = 6*v**2 + 43*v. Give b(g(x)).
162*x**2 + 1161*x
Let a(n) be the second derivative of n**3/2 + n**2/2 - 12*n - 22. Let c(o) = -3*o. Calculate c(a(w)).
-9*w - 3
Let j(u) = 184*u. Let p(c) be the first derivative of c**6/180 + 19*c**3 - 151. Let n(k) be the third derivative of p(k). What is j(n(o))?
368*o**2
Let g(s) = 2134 - 2134 - 18*s. Let c(h) be the second derivative of h**6/720 - 7*h**4/12 - 15*h. Let a(d) be the third derivative of c(d). What is a(g(q))?
-18*q
Suppose w - 656 = -69. Let p(z) = -591*z**2 + w*z**2 + 2 - 1. Let b(r) = r**2. Give p(b(t)).
-4*t**4 + 1
Let f(m) = -2*m + m + m + 261*m**2. Let t(u) = 2*u**2 + 117*u. Let v(r) = 5*r**2 + 273*r. Let j(q) = -7*t(q) + 3*v(q). Calculate f(j(h)).
261*h**4
Let a(c) = 4*c**2. Let u(b) be the first derivative of -27/2*b**2 + 0*b + 34. Give a(u(f)).
2916*f**2
Let s(k) = -8*k. Let a(j) = -4*j**2 + 239924. Give a(s(p)).
-256*p**2 + 239924
Let r(i) = 2*i**2. Let t(l) be the third derivative of -17*l**7/5040 - 41*l**5/60 + 102*l**2. Let h(k) be the third derivative of t(k). Give r(h(j)).
578*j**2
Let y(k) = -4*k**2. Let l(u) be the second derivative of 0*u**2 + 1/3*u**3 + 0 - 33*u. Determine l(y(c)).
-8*c**2
Let m(j) = 2*j. Let r(d) = -2896*d + 5492*d - 2236*d + 9136*d + 6233*d. Give m(r(w)).
31458*w
Let w(t) = -t**2 + 3. Let s(y) = 2. Let i(u) = -3*s(u) + 2*w(u). Let q(n) be the third derivative of 3*n + 5*n**4 - 1305*n**2 + 1472*n**2 - 3*n. Give q(i(r)).
-240*r**2
Let k(s) = -s. Let u(j) be the second derivative of -47*j**3/2 + 2*j + 261. Determine u(k(v)).
141*v
Let j(u) be the second derivative of -u**4/12 + 2*u. Let p(i) = -8189*i + 6 - 8192*i + 24563*i - 8181*i. Give j(p(k)).
-k**2 - 12*k - 36
Let f(h) = 7*h**2 + 8. Let t(r) = 2*r**2 + 3. Let u(j) = 3*f(j) - 8*t(j). Suppose 0 = 10*v - 158 + 28. Let x(o) = v*o + 18*o + 16*o - 41*o. What is x(u(n))?
30*n**2
Let y(x) = 24*x**2. Let k(v) = 2*v**2 - v + 2. Let o(g) = -490*g**2 + 294*g - 588. Let l(h) = -294*k(h) - o(h). Determine y(l(t)).
230496*t**4
Let t(j) = 10*j**2. Let o(x) = 23*x**2 - 6*x. Let z(v) = -47*v**2 + 15*v. Let i(s) = -5*o(s) - 2*z(s). Give t(i(n)).
4410*n**4
Let f(o) = -18*o. Let w be 9 - 9 - (-3)/3. Let u be w + 0 - 3/(3/(-182)). Let v(x) = 2*x + u - 183. What is v(f(d))?
-36*d
Let g(r) = -r + 4. Let b(s) = 3*s - 11. Let x(k) = 4*b(k) + 11*g(k). Let y(l) = 17*l + 48. Let w be y(19). Let h(j) = 745*j - 370*j - w*j. Give x(h(u)).
4*u
Let y(l) = 6281097*l**2. Let m(i) = -2*i**2. What is m(y(p))?
-78904359046818*p**4
Let a(p) = 296 - 3*p**2 - 150 + 4*p**2 - 160. Let v(d) = -33*d**2. Calculate v(a(t)).
-33*t**4 + 924*t**2 - 6468
Let l(q) = 237*q. Let h(g) = 27333*g**2. Determine l(h(t)).
6477921*t**2
Let o(z) = -21*z. Let g be 246/(-287)*14/(-6). Let m(v) = 70*v**2 + 67*v**g - 133*v**2. Give m(o(y)).
1764*y**2
Let i(h) be the first derivative of 2*h**3 + h**2 + 1. Let d(q) be the third derivative of -q**4/12 + 68252*q**2. Determine d(i(x)).
-12*x**2 - 4*x
Let n(i) = 2*i - 2. Let b(c) be the first derivative of -c**4/6 - 36*c - 70. Let f(g) be the first derivative of b(g). Calculate n(f(d)).
-4*d**2 - 2
Let c(j) = -39*j**2. Suppose 0 = -2*m - 2*q - 34, 2*q - 64 = -m + 6*m. Let l(s) = 11*s - 7. Let b(f) = -5*f + 3. Let h(a) = m*b(a) - 6*l(a). Determine h(c(r)).
-156*r**2
Let g(q) = 3*q + 12. Let z be 3/(-3) + 16 + 3. Let c be g(z). Let r(m) = -29*m + c*m - 28*m. Let o(h) = 3*h. Determine o(r(n)).
27*n
Let r(b) = b + 927. Let x(f) = 6*f + 5253. Let u(d) = -34*r(d) + 6*x(d). Suppose 0 = 4*p, -4*k + p + 20 = -0. Let l(c) = k + 43*c - 5. Give l(u(y)).
86*y
Let n(b) = -b**2. Let t(z) be the second derivative of 22*z**3 + z + 1/2*z**2 + 52. What is t(n(q))?
-132*q**2 + 1
Suppose 14 = -10*z + 11*z. Let q(y) = 14 - z - 28*y + 27*y. Let c(d) = -96*d**2. Calculate c(q(k)).
-96*k**2
Let y(o) = 22*o**2. Let z(k) = 6586561*k**2. Determine y(z(m)).
954421287747862*m**4
Let o(q) = -9*q. Let t = 68 + -66. Let k(n) = -6*n**2 - 4*n**2 + 4*n**2 + 2*n**t. Give o(k(g)).
36*g**2
Let f(y) = 3*y + 7899. Let x(b) = -127*b**2. Calculate f(x(q)).
-381*q**2 + 7899
Let t(l) = 19*l + 20. Let o(a) = 11*a + 12. Let v(s) = -5*o(s) + 3*t(s). Let p(n) = -1508*n. Determine p(v(f)).
-3016*f
Let g(c) = 3388*c + 3342*c - 6692*c. Let o(r) be the first derivative of r**2 - 9. Calculate o(g(y)).
76*y
Let s(j) = j**2. Let p = -119 - -121. Let d(t) = 17*t - p + 54*t - 26*t. Let g(b) = 22*b - 1. Let w(n) = -4*d(n) + 9*g(n). Calculate s(w(k)).
324*k**2 - 36*k + 1
Let f(z) = 5*z - 3*z - 1 - 3. Let g(o) = 3*o - 5. Let u(b) = -5*f(b) + 4*g(b). Let c(m) be the first derivative of -19*m**3/3 - 2058. Give u(c(q)).
-38*q**2
Let z(p) = p**2 - 12*p - 25. Let w be z(-7). Let n = w + -106. Let l(a) = -5 - 11*a**n + 10*a**2 + 5. Let r(m) = -3*m. Calculate r(l(v)).
3*v**2
Suppose -12*p + 14*p = 8. Let d(j) = j**2 + p*j**2 + 0*j**2 - 3*j**2. Let w(f) = 11
|
{
"pile_set_name": "DM Mathematics"
}
|
hout replacement from {p: 5, a: 5, t: 1, j: 1, i: 4}. Give prob of sequence tj.
1/240
Calculate prob of sequence bbqk when four letters picked without replacement from {k: 2, q: 1, b: 1, f: 2, a: 1}.
0
What is prob of sequence xv when two letters picked without replacement from cpccvvxipmcivm?
3/182
What is prob of sequence qq when two letters picked without replacement from {x: 3, w: 4, t: 2, a: 1, p: 2, q: 3}?
1/35
What is prob of sequence czz when three letters picked without replacement from {z: 2, c: 10}?
1/66
What is prob of sequence nn when two letters picked without replacement from {n: 2, i: 4, c: 2}?
1/28
Calculate prob of sequence ug when two letters picked without replacement from ggvguvgxqvvgf.
5/156
Two letters picked without replacement from {u: 2, r: 1, v: 11}. Give prob of sequence uv.
11/91
What is prob of sequence ue when two letters picked without replacement from {e: 2, n: 2, u: 1, t: 1}?
1/15
What is prob of sequence gggg when four letters picked without replacement from ggggggg?
1
Calculate prob of sequence iii when three letters picked without replacement from iipicliiiilcllpil.
7/85
Two letters picked without replacement from bmwnbmwbmnbsmmmwbwbb. What is prob of sequence ns?
1/190
Two letters picked without replacement from rskkrrrkrkkrrk. Give prob of sequence kk.
15/91
What is prob of sequence gl when two letters picked without replacement from yglygmgyrlmygygygy?
2/51
Three letters picked without replacement from {m: 2, d: 7}. What is prob of sequence dmm?
1/36
Three letters picked without replacement from yydyyyrryyydrydd. What is prob of sequence rdr?
1/140
What is prob of sequence wssj when four letters picked without replacement from wswwjswwwswswwwsws?
11/2448
Four letters picked without replacement from {d: 2, w: 3, c: 2, y: 3, b: 3, z: 1}. Give prob of sequence dcyc.
1/2002
What is prob of sequence wcwc when four letters picked without replacement from cccwcccccccwc?
1/78
Four letters picked without replacement from esdnf. What is prob of sequence sfen?
1/120
Four letters picked without replacement from bbbkaaaaaajajkajcja. Give prob of sequence bkaa.
3/646
Three letters picked without replacement from kpohhhhohpkp. Give prob of sequence ohk.
1/66
What is prob of sequence tatt when four letters picked without replacement from aatattaaaat?
7/330
Calculate prob of sequence kekm when four letters picked without replacement from {l: 1, m: 1, e: 1, k: 2}.
1/60
Two letters picked without replacement from okkkkion. What is prob of sequence oi?
1/28
Four letters picked without replacement from {y: 14, w: 5}. What is prob of sequence wyyw?
455/11628
Calculate prob of sequence hbo when three letters picked without replacement from waaohaab.
1/336
Three letters picked without replacement from oxoxxooxxo. What is prob of sequence xoo?
5/36
What is prob of sequence mvm when three letters picked without replacement from {m: 3, v: 15}?
5/272
Two letters picked without replacement from tcccttpmxxtqtcmxxmqq. What is prob of sequence pc?
1/95
What is prob of sequence dull when four letters picked without replacement from llulliiludui?
1/198
What is prob of sequence prc when three letters picked without replacement from rpcrcqqcc?
1/63
Three letters picked without replacement from {d: 1, l: 3, b: 1, j: 6, f: 1}. What is prob of sequence jlj?
3/44
What is prob of sequence qsss when four letters picked without replacement from sqqssss?
1/7
Two letters picked without replacement from lohohl. What is prob of sequence hl?
2/15
Four letters picked without replacement from rfft. Give prob of sequence ffrt.
1/12
Three letters picked without replacement from {p: 2, c: 1}. What is prob of sequence ppp?
0
Calculate prob of sequence xa when two letters picked without replacement from {a: 6, x: 2}.
3/14
Calculate prob of sequence bo when two letters picked without replacement from owalb.
1/20
Two letters picked without replacement from ggtv. Give prob of sequence vt.
1/12
What is prob of sequence vvbb when four letters picked without replacement from vvvbbbbvvv?
1/14
What is prob of sequence xxcr when four letters picked without replacement from {r: 2, c: 1, w: 5, x: 1}?
0
What is prob of sequence sbb when three letters picked without replacement from pspspbmeeembe?
1/429
Three letters picked without replacement from vuuvavvuvvuuvaav. What is prob of sequence uuv?
1/21
Two letters picked without replacement from {z: 1, j: 2, x: 1}. Give prob of sequence zx.
1/12
Three letters picked without replacement from {p: 2, w: 1, a: 2}. What is prob of sequence app?
1/15
Three letters picked without replacement from kkkqkqkq. Give prob of sequence kkk.
5/28
Calculate prob of sequence tx when two letters picked without replacement from traaxxratarr.
1/33
Two letters picked without replacement from {s: 6, p: 2}. What is prob of sequence ss?
15/28
Calculate prob of sequence yyp when three letters picked without replacement from yyyp.
1/4
Two letters picked without replacement from {b: 2, j: 5, h: 4, i: 7}. Give prob of sequence ih.
14/153
Three letters picked without replacement from lfpfppfpplll. Give prob of sequence flf.
1/55
Calculate prob of sequence hv when two letters picked without replacement from {v: 5, h: 3, s: 2}.
1/6
Two letters picked without replacement from oymmabbw. What is prob of sequence bo?
1/28
Calculate prob of sequence uqd when three letters picked without replacement from uuddddqqdddd.
4/165
Calculate prob of sequence kk when two letters picked without replacement from {b: 8, d: 7, k: 2, u: 1, j: 1}.
1/171
Three letters picked without replacement from {w: 6, o: 9, g: 2, j: 1}. What is prob of sequence wjg?
1/408
Four letters picked without replacement from {q: 11, d: 5, a: 2, m: 1}. What is prob of sequence qaam?
11/46512
What is prob of sequence esw when three letters picked without replacement from dserrwssssesssdsrsss?
1/285
Two letters picked without replacement from {d: 6, j: 13}. Give prob of sequence jd.
13/57
Three letters picked without replacement from jljfjjjgugjjxjj. Give prob of sequence lxf.
1/2730
Three letters picked without replacement from {k: 3, o: 1}. Give prob of sequence kok.
1/4
Calculate prob of sequence rgg when three letters picked without replacement from {g: 2, r: 2}.
1/6
What is prob of sequence hpyy when four letters picked without replacement from {p: 2, y: 2, h: 3, l: 4}?
1/660
Three letters picked without replacement from jtxtwtjtttjjtttx. Give prob of sequence xjx.
1/420
Calculate prob of sequence ml when two letters picked without replacement from nilmkmmkckcncck.
1/70
Two letters picked without replacement from {g: 3, n: 1, l: 2, w: 7, q: 1}. What is prob of sequence gw?
3/26
Four letters picked without replacement from rnlllnddkrlrrrrvrkrl. What is prob of sequence drll?
8/2907
Calculate prob of sequence gln when three letters picked without replacement from gnchcccl.
1/336
Three letters picked without replacement from hazlzflavaaz. Give prob of sequence vfa.
1/330
Calculate prob of sequence eb when two letters picked without replacement from bbeee.
3/10
Two letters picked without replacement from {k: 1, s: 5, e: 1, m: 4, w: 1, g: 1}. What is prob of sequence ss?
5/39
What is prob of sequence aooo when four letters picked without replacement from ooaooooaaa?
2/21
Three letters picked without replacement from kpzhhae. What is prob of sequence zak?
1/210
Two letters picked without replacement from {j: 9}. What is prob of sequence jj?
1
Calculate prob of sequence kk when two letters picked without replacement from kkkkkkkkk.
1
Calculate prob of sequence dz when two letters picked without replacement from {k: 3, d: 4, z: 2}.
1/9
What is prob of sequence jj when two letters picked without replacement from {j: 7, a: 6}?
7/26
What is prob of sequence gs when two letters picked without replacement from gsjxsssgsssgisgxsgg?
3/19
Three letters picked without replacement from {f: 10, n: 2, a: 1, y: 7}. Give prob of sequence nyy.
7/570
What is prob of sequence uccu when four letters picked without replacement from ququupcqqqzcupqc?
3/1820
Four letters picked without replacement from {k: 2, z: 1, a: 1, i: 2}. What is prob of sequence zkai?
1/90
What is prob of sequence kcf when three letters picked
|
{
"pile_set_name": "DM Mathematics"
}
|
663, 7665?
2*x + 7659
What is the n'th term of -25328, -25327, -25326, -25325?
n - 25329
What is the b'th term of -93, -125, -139, -129, -89, -13, 105, 271?
b**3 + 3*b**2 - 48*b - 49
What is the y'th term of 9748, 19355, 28962?
9607*y + 141
What is the c'th term of 864, 844, 850, 894, 988?
2*c**3 + c**2 - 37*c + 898
What is the x'th term of -23881, -47729, -71577, -95425?
-23848*x - 33
What is the d'th term of -108256, -108249, -108240, -108229, -108216, -108201?
d**2 + 4*d - 108261
What is the h'th term of -7320, -14848, -22376, -29904, -37432?
-7528*h + 208
What is the i'th term of -1248432, -1248433, -1248434, -1248435, -1248436?
-i - 1248431
What is the p'th term of 6641, 6704, 6809, 6956, 7145, 7376, 7649?
21*p**2 + 6620
What is the s'th term of -21, 58, 257, 630, 1231, 2114, 3333?
9*s**3 + 6*s**2 - 2*s - 34
What is the f'th term of -564, -2300, -5200, -9270, -14516, -20944, -28560, -37370?
-f**3 - 576*f**2 - f + 14
What is the l'th term of -61934, -61929, -61918, -61901, -61878, -61849?
3*l**2 - 4*l - 61933
What is the v'th term of 302, 412, 546, 698, 862?
-v**3 + 18*v**2 + 63*v + 222
What is the w'th term of -972, -1048, -1124, -1200, -1276?
-76*w - 896
What is the n'th term of -379, -620, -709, -640, -407, -4?
n**3 + 70*n**2 - 458*n + 8
What is the g'th term of -827, -3535, -8047, -14363, -22483, -32407, -44135?
-902*g**2 - 2*g + 77
What is the y'th term of 432196, 432205, 432214?
9*y + 432187
What is the m'th term of 52, 283, 918, 2161, 4216, 7287, 11578, 17293?
34*m**3 - 2*m**2 - m + 21
What is the d'th term of -2859, -5608, -8357, -11106, -13855, -16604?
-2749*d - 110
What is the n'th term of -1951, -3811, -5673, -7537, -9403?
-n**2 - 1857*n - 93
What is the l'th term of -10047, -20074, -30101, -40128?
-10027*l - 20
What is the w'th term of -1082, -4254, -9542, -16946, -26466, -38102, -51854?
-1058*w**2 + 2*w - 26
What is the a'th term of 2213, 1376, -19, -1972?
-279*a**2 + 2492
What is the w'th term of -519, -1753, -3811, -6693, -10399, -14929, -20283?
-412*w**2 + 2*w - 109
What is the z'th term of -3760, -7604, -11474, -15376, -19316, -23300?
-z**3 - 7*z**2 - 3816*z + 64
What is the u'th term of 49, 556, 1939, 4636, 9085?
73*u**3 - 4*u - 20
What is the b'th term of 82463, 82460, 82457?
-3*b + 82466
What is the k'th term of 206, 314, 518, 866, 1406, 2186, 3254?
8*k**3 + 52*k + 146
What is the m'th term of -3004, -6013, -9022, -12031, -15040?
-3009*m + 5
What is the i'th term of 876, 859, 832, 795, 748?
-5*i**2 - 2*i + 883
What is the u'th term of -7154, -7073, -6992?
81*u - 7235
What is the x'th term of -527, -949, -1369, -1787, -2203?
x**2 - 425*x - 103
What is the v'th term of -14386, -14370, -14344, -14308, -14262?
5*v**2 + v - 14392
What is the r'th term of 4085, 16363, 36829, 65483, 102325?
4094*r**2 - 4*r - 5
What is the v'th term of 162, 380, 596, 810, 1022?
-v**2 + 221*v - 58
What is the y'th term of -223010, -446016, -669022, -892028, -1115034?
-223006*y - 4
What is the p'th term of -6102, -6087, -6072, -6057, -6042, -6027?
15*p - 6117
What is the b'th term of -101108, -101102, -101094, -101084?
b**2 + 3*b - 101112
What is the o'th term of 15477, 30941, 46405, 61869?
15464*o + 13
What is the h'th term of -738179, -1476354, -2214529, -2952704, -3690879, -4429054?
-738175*h - 4
What is the x'th term of 23226, 23225, 23224, 23223, 23222?
-x + 23227
What is the y'th term of -1260, -5073, -11430, -20331, -31776, -45765?
-1272*y**2 + 3*y + 9
What is the q'th term of 421, 793, 1069, 1207, 1165, 901?
-7*q**3 - 6*q**2 + 439*q - 5
What is the u'th term of -229, -420, -737, -1180, -1749, -2444?
-63*u**2 - 2*u - 164
What is the s'th term of -457, -1794, -4001, -7060, -10953, -15662, -21169, -27456?
3*s**3 - 453*s**2 + s - 8
What is the k'th term of -127, -252, -375, -496, -615, -732?
k**2 - 128*k
What is the o'th term of 443, 425, 393, 347?
-7*o**2 + 3*o + 447
What is the h'th term of 123, 130, 149, 186, 247, 338, 465?
h**3 + 122
What is the r'th term of 21469, 42845, 64221, 85597?
21376*r + 93
What is the k'th term of 2943, 5152, 7361, 9570, 11779, 13988?
2209*k + 734
What is the g'th term of 2763, 5494, 8211, 10908, 13579, 16218, 18819, 21376?
-g**3 - g**2 + 2741*g + 24
What is the y'th term of -1079, -1057, -999, -887, -703, -429?
3*y**3 + y - 1083
What is the x'th term of -55938, -55939, -55940, -55941?
-x - 55937
What is the w'th term of 1564, 3132, 4708, 6286, 7860?
-w**3 + 10*w**2 + 1545*w + 10
What is the n'th term of 31, 172, 385, 658, 979?
-2*n**3 + 48*n**2 + 11*n - 26
What is the h'th term of -10492, -20935, -31336, -41701, -52036, -62347, -72640, -82921?
-h**3 + 27*h**2 - 10517*h - 1
What is the p'th term of -109362, -109357, -109354, -109353, -109354, -109357?
-p**2 + 8*p - 109369
What is the n'th term of -13, 9, 37, 71, 111?
3*n**2 + 13*n - 29
What is the y'th term of 4556, 4534, 4506, 4478, 4456, 4446, 4454, 4486?
y**3 - 9*y**2 - 2*y + 4566
What is the j'th term of 356, 1395, 3126, 5549, 8664, 12471?
346*j**2 + j + 9
What is the d'th term of -109, -588, -1631, -3436, -6201?
-33*d**3 - 84*d**2 + 4*d + 4
What is the a'th term of 847, 858, 871, 886, 903, 922, 943?
a**2 + 8*a + 838
What is the x'th term of -6912, -13795, -20682, -27579, -34492?
-x**3 + 4*x**2 - 6888*x - 27
What is the m'th term of 26, 433, 1558, 3761, 7402?
60*m**3 - m**2 - 10*m - 23
What is the v'th term of -2292, -2310, -2328, -2346, -2364, -2382?
-18*v - 2274
What is the r'th term of 16819, 67210, 151195, 268774, 419947?
16797*r**2 + 22
What is the c'th term of -19857, -39716, -59575, -79434?
-19859*c + 2
What is the d'th term of 198, 812, 1876, 3420, 5474, 8068?
5*d**3 + 195*d**2 - 6*d + 4
What is the c'th term of 23820, 47518, 71216, 94914, 118612?
23698*c + 122
What is the t'th term of -1441, -2361, -3281, -4201?
-920*t - 521
What is the t'th term of -109, -254, -501, -904, -1517, -2394, -3589, -5156?
-9*t**3 + 3*t**2 - 91*t - 12
What is the k'th term of -356, -1523, -3472, -6209, -9740, -14071, -19208, -25157?
-k**3 - 385*k**2 - 5*k + 35
What is the m'th term of -114, -492, -1130, -2034, -3210, -4664?
-m**3 - 124*m**2 + m + 10
What is the l'th term of 1019, 1009, 977, 911, 799, 629, 389?
-2*l**3 + l**2 + l + 1019
What is the a'th term of 6846, 13688, 20530, 27372, 34214, 41056?
6842*a + 4
What is the u'th term of 86339, 172668, 259009, 345368, 431751, 518164, 604613?
u**3 + 86322*u + 16
What is the z'th term of 176, 579, 978, 1373, 1764, 2151, 2534?
-2*z**2 + 409*z - 231
What is the l'th term of -2596, -2574, -2526, -2446, -2328, -2166?
l**3 + 7*l**2 - 6*l - 2598
What is the i'th term of 19, 87, 205, 373, 591, 859?
25*i**2 - 7*i + 1
What is the o'th term of 52, 51, 56, 73, 108, 167, 256?
o**3 - 3*o**2 + o + 53
What is the t'th term of 4874, 4386, 3058, 470, -3798, -10166, -19054, -30882?
-70*t**3 + 2*t + 4942
What is the n'th term of -232, -462, -688, -904, -1104, -1282?
n**3 - 4*n**2 - 225*n - 4
What is the x'th term of -12855, -12939, -13029, -13125, -13227?
-3*x**2 - 75*x - 12777
What is the v'th term of -34, -36, -14, 50, 174?
3*v**3 - 6*v**2 - 5*v - 26
What is the b'th term of 783, 704, 625, 546?
-79*b + 862
What is the b'th term of -1247, -4994, -11225, -19928, -31091, -44702, -60749, -79220?
2*b**3 - 1254*b**2 + b + 4
What is the n'th term of 36861, 73725, 110601, 147495, 184413, 221361, 258345, 295371?
n**3 + 36857*n + 3
What is the g'th term of 65, 571, 1951, 4643, 9085?
73*g**3 - g**2 - 2*g - 5
What is the r'th term of -128, -360, -592, -824, -1056?
-232*r + 104
What is the b'th term of 10, -36, -168, -416, -810, -1380?
-5*b**3 - 13*b**2 + 28*b
What is the z'th term of 16703, 16718, 16733, 16748, 16763?
15*z + 16688
What is the l'th term of -174, -161, -140, -105, -50?
l**3 - 2*l**2 + 12*l - 185
What is the o'th term of -10829, -86611, -292307, -692873, -1353265, -2338439, -3713351?
-10826*o**3 - o**2 + 3*o - 5
What is the g'th term of 114, 166, 244, 348?
13*g**2 + 13*g + 88
What is the x'th term of -87709, -87703, -87697, -87691, -87685, -87679?
6*x - 87715
What is the z'th term of 33090, 66106, 99120, 132132, 165142?
-z**2 + 33019*z + 72
What is the b'th term of -3229326, -3229324, -3229322?
2*b - 3229328
What is the m'th term of -57382, -57384, -57396, -57424, -57474, -57552, -57664, -57816?
-m**3 + m**2 + 2*m - 57384
What is the r'
|
{
"pile_set_name": "DM Mathematics"
}
|
ed without replacement from {j: 9, x: 5, r: 2}. What is prob of picking 3 x?
1/56
Calculate prob of picking 2 q and 1 h when three letters picked without replacement from {o: 1, h: 1, q: 2, k: 5}.
1/84
Three letters picked without replacement from {o: 2, a: 1, s: 3, u: 3, q: 1, w: 1}. Give prob of picking 2 o and 1 q.
1/165
What is prob of picking 3 l when three letters picked without replacement from lzzzzlzzlzlzzzlz?
1/56
Four letters picked without replacement from dofvdv. Give prob of picking 2 d, 1 f, and 1 v.
2/15
Two letters picked without replacement from clcoolco. Give prob of picking 2 l.
1/28
Two letters picked without replacement from ojjoojjojj. Give prob of picking 2 j.
1/3
Calculate prob of picking 1 r and 1 w when two letters picked without replacement from wrwrwgwwwgww.
8/33
What is prob of picking 2 q and 1 l when three letters picked without replacement from qqdqqnnlq?
5/42
Three letters picked without replacement from {u: 12, z: 1, d: 1}. Give prob of picking 2 u and 1 z.
33/182
Four letters picked without replacement from {b: 3, a: 4, q: 6, h: 3, t: 4}. What is prob of picking 2 a and 2 q?
6/323
Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {g: 1, z: 3, q: 2, k: 5, b: 1}.
5/66
What is prob of picking 1 q and 1 i when two letters picked without replacement from ooqeioi?
2/21
Three letters picked without replacement from mffjffumjfff. Give prob of picking 3 f.
7/44
Two letters picked without replacement from {o: 4, d: 3}. What is prob of picking 2 o?
2/7
What is prob of picking 1 u and 1 l when two letters picked without replacement from {e: 6, v: 7, o: 2, l: 4, u: 1}?
2/95
Three letters picked without replacement from {r: 2, u: 6, f: 5}. Give prob of picking 1 f and 2 u.
75/286
What is prob of picking 4 n when four letters picked without replacement from {n: 8, u: 3}?
7/33
What is prob of picking 2 w, 1 c, and 1 h when four letters picked without replacement from hwcchhccwhhhch?
5/143
Calculate prob of picking 1 k, 1 e, and 1 b when three letters picked without replacement from {q: 5, f: 2, e: 2, y: 1, k: 6, b: 3}.
12/323
Three letters picked without replacement from dfdfvnihhidnfd. What is prob of picking 1 n and 2 f?
3/182
Two letters picked without replacement from {t: 1, z: 11}. Give prob of picking 2 z.
5/6
Four letters picked without replacement from {p: 5, m: 2, f: 1, w: 3, r: 1, b: 1}. What is prob of picking 1 p, 1 r, 1 w, and 1 b?
3/143
Calculate prob of picking 1 h, 1 w, and 1 p when three letters picked without replacement from whnnnwwwwphwwwwp.
9/140
Four letters picked without replacement from {v: 2, t: 4, r: 1, u: 4, d: 2, c: 6}. Give prob of picking 2 v, 1 d, and 1 c.
1/323
What is prob of picking 2 m and 2 x when four letters picked without replacement from mxxmxxmx?
3/7
Calculate prob of picking 2 j and 1 c when three letters picked without replacement from {c: 1, j: 12, d: 7}.
11/190
Calculate prob of picking 2 c and 2 o when four letters picked without replacement from coooooco.
3/14
Four letters picked without replacement from {l: 3, s: 4, j: 2, c: 2}. Give prob of picking 2 c and 2 l.
1/110
What is prob of picking 1 j and 2 r when three letters picked without replacement from nnjlrununuuuuunrnu?
1/816
What is prob of picking 3 f when three letters picked without replacement from fwf?
0
What is prob of picking 1 y, 2 p, and 1 x when four letters picked without replacement from {x: 6, y: 5, p: 2}?
6/143
Two letters picked without replacement from hcxxxjhbhhxccb. What is prob of picking 1 j and 1 c?
3/91
Two letters picked without replacement from vavywewvwadwaw. What is prob of picking 1 a and 1 y?
3/91
Four letters picked without replacement from {j: 11, q: 2, u: 1, g: 2}. Give prob of picking 2 j and 2 u.
0
Calculate prob of picking 2 o and 1 u when three letters picked without replacement from ouuuuuoffo.
1/8
Calculate prob of picking 1 h, 1 d, and 1 c when three letters picked without replacement from dhsddjdhscjchjddcdj.
21/323
Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {n: 2, y: 3, x: 1, o: 4, s: 1}.
6/55
Three letters picked without replacement from pkkpkkkppnpn. Give prob of picking 1 k and 2 p.
5/22
Two letters picked without replacement from {r: 2, s: 2, c: 1}. What is prob of picking 2 r?
1/10
Calculate prob of picking 3 c when three letters picked without replacement from {c: 7}.
1
Two letters picked without replacement from {o: 1, f: 1, d: 4, x: 9, s: 2}. Give prob of picking 1 f and 1 o.
1/136
Calculate prob of picking 3 y and 1 x when four letters picked without replacement from xyyxxyxyyxyxyyxy.
21/65
What is prob of picking 1 n, 1 d, and 2 c when four letters picked without replacement from {c: 2, m: 3, n: 1, o: 3, d: 1}?
1/210
What is prob of picking 2 m when two letters picked without replacement from jhhhhhhhhmjm?
1/66
Calculate prob of picking 1 p and 2 g when three letters picked without replacement from glmgmlgpgmlggm.
15/364
Two letters picked without replacement from komin. Give prob of picking 1 m and 1 n.
1/10
Three letters picked without replacement from {q: 10, b: 2, y: 2, e: 2, m: 2, p: 2}. What is prob of picking 1 b and 2 y?
1/570
Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {u: 1, m: 1, b: 1, r: 1, z: 1}.
1/10
Four letters picked without replacement from sssssss. What is prob of picking 4 s?
1
Three letters picked without replacement from hbbwtbzwwtzl. What is prob of picking 1 w, 1 h, and 1 z?
3/110
Calculate prob of picking 2 q and 1 d when three letters picked without replacement from {u: 1, x: 1, d: 2, q: 2, e: 2}.
1/28
Calculate prob of picking 2 b and 1 j when three letters picked without replacement from {l: 1, b: 6, j: 1, o: 1}.
5/28
What is prob of picking 2 y and 1 v when three letters picked without replacement from {v: 11, y: 2}?
1/26
Four letters picked without replacement from zyyssyzzyyz. What is prob of picking 1 s, 2 z, and 1 y?
2/11
Calculate prob of picking 1 p and 1 a when two letters picked without replacement from pappppa.
10/21
Calculate prob of picking 2 t when two letters picked without replacement from pgrgnpgtztgng.
1/78
Three letters picked without replacement from {r: 6, x: 1, d: 1, c: 5, p: 1}. Give prob of picking 1 d, 1 p, and 1 x.
1/364
Three letters picked without replacement from {y: 2, u: 3, r: 2, c: 4, a: 2, v: 1}. What is prob of picking 2 a and 1 c?
1/91
What is prob of picking 1 c and 1 z when two letters picked without replacement from zcczcc?
8/15
What is prob of picking 2 q when two letters picked without replacement from iqqiii?
1/15
What is prob of picking 3 k when three letters picked without replacement from skkhfkgkssf?
4/165
Two letters picked without replacement from {h: 1, r: 2, v: 8, l: 4, i: 1}. What is prob of picking 2 v?
7/30
Calculate prob of picking 2 h when two letters picked without replacement from {h: 7, b: 2}.
7/12
Three letters picked without replacement from brsbhh. Give prob of picking 2 h and 1 r.
1/20
Two letters picked without replacement from llblllblll. What is prob of picking 1 b and 1 l?
16/45
What is prob of picking 2 m and 1 v when three letters picked without replacement from {m: 5, v: 9}?
45/182
Three letters picked without replacement from {y: 4, o: 1, p: 4, n: 3, h: 2}. Give prob of picking 1 p, 1 n, and 1 h.
6/91
Two letters picked without replacement from tttoootttttottottt. Give prob of picking 2 o.
10/153
Calculate prob of picking 2 m and 1 q when three letters picked without replacement from {p: 2, w: 2, r: 6, v: 1, q: 4, m: 3}.
1/68
Two letters picked without replacement from {l: 4, h: 5, f: 7}. Give prob of picking 1 l and 1 f.
7/30
Three letters picked without replacement from bzpapbbbaabaappa. Give prob of picking 1 p, 1 b, and 1 z.
1/28
Two letters picked without replacement from jijiiiiiiijjij. What is prob of picking 1 i and 1 j?
45/91
Two letters picked without replacement from {j: 3, m: 2, i: 9, t: 2, q: 3}. What is prob of picking 1 i and 1 q?
3/19
Calculate prob of picking 2 w when two letters picked without replacement from {q: 7, w: 9}.
3/10
Two letters picked without replacement from uunnuquunnqnnuquqnq. What is prob of picking 1 n and 1 u?
49/17
|
{
"pile_set_name": "DM Mathematics"
}
|
5}. Give prob of picking 1 k and 3 a.
35/143
What is prob of picking 2 s when two letters picked without replacement from axssasssaxsssa?
4/13
Two letters picked without replacement from onooooooononooo. What is prob of picking 2 o?
22/35
Calculate prob of picking 3 n and 1 d when four letters picked without replacement from dnntqnqn.
2/35
Calculate prob of picking 1 e and 3 t when four letters picked without replacement from ettttttttet.
28/55
Four letters picked without replacement from nnjnjnyynnynnnjy. What is prob of picking 2 y and 2 n?
54/455
Calculate prob of picking 3 s and 1 r when four letters picked without replacement from ssrrs.
2/5
What is prob of picking 2 d when two letters picked without replacement from {l: 2, z: 1, k: 1, q: 1, d: 2, w: 1}?
1/28
What is prob of picking 1 u and 2 f when three letters picked without replacement from {f: 11, u: 1}?
1/4
Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {u: 1, q: 1, g: 1, w: 1, p: 1}.
1/10
Calculate prob of picking 1 o and 3 s when four letters picked without replacement from {q: 2, s: 7, o: 2}.
7/33
Calculate prob of picking 1 i, 1 h, and 1 l when three letters picked without replacement from {z: 7, h: 3, n: 1, i: 4, l: 3}.
3/68
Three letters picked without replacement from ggggogaogglaogl. What is prob of picking 3 g?
8/65
Two letters picked without replacement from uueeu. Give prob of picking 1 e and 1 u.
3/5
What is prob of picking 1 f and 2 o when three letters picked without replacement from uochhohuouffouoh?
1/28
What is prob of picking 3 h when three letters picked without replacement from hhhlllllhlhh?
1/11
What is prob of picking 3 g and 1 n when four letters picked without replacement from {n: 1, g: 3, o: 3}?
1/35
Calculate prob of picking 2 l when two letters picked without replacement from rvvlvvllvrvv.
1/22
Calculate prob of picking 1 m and 2 o when three letters picked without replacement from {o: 5, m: 8}.
40/143
Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {a: 2, f: 6, r: 3, u: 2, h: 5, b: 1}.
2/57
Two letters picked without replacement from {j: 1, h: 2, a: 1, d: 4}. Give prob of picking 1 d and 1 a.
1/7
Three letters picked without replacement from sxbspsxsppbpbsssp. Give prob of picking 2 p and 1 b.
3/68
Two letters picked without replacement from {n: 3, a: 8}. Give prob of picking 2 a.
28/55
Two letters picked without replacement from jcjevcovljvv. What is prob of picking 1 c and 1 v?
4/33
What is prob of picking 1 t and 1 w when two letters picked without replacement from wwtwttt?
4/7
Calculate prob of picking 2 f when two letters picked without replacement from fwlfllwslsllllllfsl.
1/57
Three letters picked without replacement from vxfhvffvdvvx. What is prob of picking 2 x and 1 d?
1/220
Two letters picked without replacement from viiwrgd. Give prob of picking 1 w and 1 d.
1/21
Two letters picked without replacement from kfyk. What is prob of picking 1 y and 1 f?
1/6
Two letters picked without replacement from vzvpvpvvvvzvv. Give prob of picking 2 p.
1/78
Two letters picked without replacement from clclrlrlpnr. Give prob of picking 1 c and 1 l.
8/55
Three letters picked without replacement from {i: 7, m: 2}. Give prob of picking 3 i.
5/12
Three letters picked without replacement from hsswwwsshwhwwswwsr. What is prob of picking 1 s, 1 r, and 1 h?
3/136
What is prob of picking 2 y when two letters picked without replacement from {y: 2, w: 16}?
1/153
What is prob of picking 3 a and 1 d when four letters picked without replacement from {z: 1, o: 3, y: 4, a: 5, i: 1, d: 1}?
2/273
Three letters picked without replacement from wswwswswsw. Give prob of picking 2 w and 1 s.
1/2
What is prob of picking 1 d and 3 p when four letters picked without replacement from {p: 3, d: 4}?
4/35
Calculate prob of picking 1 g and 3 q when four letters picked without replacement from {i: 1, l: 1, f: 1, q: 4, g: 1}.
2/35
Two letters picked without replacement from xevjerrb. Give prob of picking 1 v and 1 x.
1/28
Calculate prob of picking 1 z, 1 j, 1 m, and 1 k when four letters picked without replacement from kkzmuukjukmujzkkrz.
2/85
Two letters picked without replacement from {d: 4, j: 2}. What is prob of picking 2 d?
2/5
Three letters picked without replacement from ywmwyyyyymyjyb. What is prob of picking 2 y and 1 j?
1/13
What is prob of picking 1 b and 1 z when two letters picked without replacement from {z: 2, b: 16}?
32/153
Two letters picked without replacement from chhehehchhhhhh. What is prob of picking 2 h?
45/91
Calculate prob of picking 1 q and 1 z when two letters picked without replacement from {q: 1, d: 2, t: 4, z: 3}.
1/15
Calculate prob of picking 1 s and 2 t when three letters picked without replacement from dtttddtcwtstctpttpt.
15/323
What is prob of picking 2 g and 1 q when three letters picked without replacement from ggfqq?
1/5
Four letters picked without replacement from {g: 1, m: 3, t: 3, j: 2, n: 3, w: 2}. What is prob of picking 1 w, 2 j, and 1 m?
6/1001
What is prob of picking 1 o and 1 i when two letters picked without replacement from oiimmmkmqikqmqqdidm?
4/171
Three letters picked without replacement from {p: 2, g: 5, o: 2}. Give prob of picking 1 p and 2 o.
1/42
Three letters picked without replacement from ffffuuuffuffff. What is prob of picking 3 f?
30/91
What is prob of picking 2 g when two letters picked without replacement from {d: 2, g: 2, e: 1}?
1/10
Three letters picked without replacement from lgollsslgoglgol. What is prob of picking 1 l and 2 o?
18/455
Calculate prob of picking 2 h when two letters picked without replacement from {h: 3, u: 1}.
1/2
Calculate prob of picking 1 y and 1 c when two letters picked without replacement from catcattayttt.
1/33
Two letters picked without replacement from {f: 3, c: 4, l: 1, z: 8, o: 1}. Give prob of picking 1 c and 1 z.
4/17
Calculate prob of picking 1 h and 3 e when four letters picked without replacement from {h: 4, t: 2, e: 3, o: 2}.
2/165
Three letters picked without replacement from vanmp. Give prob of picking 1 m and 2 a.
0
Three letters picked without replacement from {k: 2, j: 5, c: 7}. What is prob of picking 2 j and 1 c?
5/26
Three letters picked without replacement from {j: 7, p: 5}. Give prob of picking 2 j and 1 p.
21/44
What is prob of picking 1 l and 2 k when three letters picked without replacement from {k: 4, l: 1, t: 3}?
3/28
Four letters picked without replacement from {e: 3, f: 2, s: 7}. What is prob of picking 4 s?
7/99
Two letters picked without replacement from {f: 1, s: 2, t: 1, m: 2, g: 1, z: 2}. Give prob of picking 2 s.
1/36
Two letters picked without replacement from ccjcjjjcbjj. What is prob of picking 1 j and 1 c?
24/55
Two letters picked without replacement from jibsvsvg. What is prob of picking 1 b and 1 i?
1/28
Two letters picked without replacement from fskfuujb. What is prob of picking 1 s and 1 f?
1/14
What is prob of picking 1 w, 1 t, and 1 h when three letters picked without replacement from htwhwwhwhtwhhtwth?
21/85
Calculate prob of picking 2 a and 2 j when four letters picked without replacement from jjavaava.
3/35
Two letters picked without replacement from {m: 2, u: 3, v: 1, k: 4, d: 1, i: 1}. Give prob of picking 1 k and 1 i.
2/33
Three letters picked without replacement from {z: 4, x: 5, h: 4, q: 3}. Give prob of picking 1 q and 2 h.
9/280
What is prob of picking 1 d and 1 r when two letters picked without replacement from rrdibdrbrbbdidb?
16/105
Two letters picked without replacement from {w: 2, k: 1, p: 2, b: 1, r: 1}. What is prob of picking 1 p and 1 r?
2/21
What is prob of picking 1 z and 3 d when four letters picked without replacement from {z: 3, d: 9, s: 7}?
21/323
Three letters picked without replacement from {t: 3, r: 3, a: 4, e: 1, g: 4, n: 2}. Give prob of picking 1 e and 2 r.
3/680
What is prob of picking 1 b and 1 d when two letters picked without replacement from {d: 1, k: 9, e: 2, b: 2}?
2/91
Three letters picked without replacement from yhqyyex. What is prob of picking 1 y, 1 q, and 1 h?
3/35
Calculate prob of picking 2 t when two letters picked without replacement from {g: 2, h: 1, t: 2}.
1/10
Two letters picked without replacement from ppueqxuv. What is prob o
|
{
"pile_set_name": "DM Mathematics"
}
|
*(-6 + 1 + 4) in the form d + w*u**2 + a*u and give d.
-3
Rearrange 0*u**2 - 3*u**2 + 7*u**2 - 3*u**2 to a*u + o*u**2 + i and give o.
1
Express -5*y**2 + 3*y**2 - 28*y + 18*y in the form d + s*y**2 + t*y and give s.
-2
Rearrange -5*v + 0*v**3 + 4*v**3 - v**3 + 2 + 2*v**4 to j*v**4 + c*v**2 + z*v + y*v**3 + k and give j.
2
Express (-12 - 23*r + 8 + 2)*(3*r - 3*r + 2*r) in the form i*r**2 + m + p*r and give i.
-46
Rearrange (-31 - 13*k + 31)*(0*k + 0*k + 3*k) to the form y + t*k**2 + c*k and give t.
-39
Express (1 - 2 - 1)*(33*v**3 - 20*v**3 - 19*v**3) + v**3 + v**2 - v**2 in the form d*v**3 + n*v**2 + y + q*v and give n.
0
Rearrange (3 + 1 - 1)*(2*z - 6*z + 2*z) + 5*z - 2*z - 2*z to the form k + x*z and give x.
-5
Express -7 - 3 - 41*y + 10 in the form z*y + d and give z.
-41
Express (8*l + 6*l - 7*l)*(-6 + 5 + 3) as k + h*l and give h.
14
Express g**2 + g + 0*g**2 + 0 - 4 + 5 as m + q*g**2 + v*g and give q.
1
Express (0*t**2 + t**2 + 0*t**2)*(-19*t + 1 + 2*t - 3*t**2 + 5*t) as o*t**3 + y + h*t + d*t**2 + k*t**4 and give k.
-3
Express (4*j + 2*j - 4*j)*((0 + 2 - 4)*(2 - 2 + 4) - 4 + 4 - 3) as y + q*j and give q.
-22
Express (12*a - 4*a + 15*a)*(1 - 4 + 5) as l + m*a and give m.
46
Rearrange (-1 + 3 - 1)*(0 + 0 + i)*(-2 - 42 - 10) to the form x*i + o and give x.
-54
Express -3*c**2 + 8*c + 4*c - 10*c - c**4 in the form u*c**3 + d*c**2 + n*c + g*c**4 + a and give n.
2
Rearrange (0 - 2 + 1)*(0 + 0 + a)*(-3 - 1 + 2 + 2 - 1 - 3 + 1 - 3 + 1 + 1 - 1 - 2 + (1 - 3 + 0)*(0 - 1 + 2) - 3 - 3 + 2) to d + n*a and give n.
13
Express -3*u**2 + 3*u**2 + 2*u**2 + (-3*u + 2*u + 2*u)*(2*u - 2 + 2) + 50 - 50 + 85*u**2 as y*u**2 + n + r*u and give r.
0
Rearrange (1 + 0 + 4)*(-22 + 22*c + 22) to j*c + q and give j.
110
Express -1 + 3 + 2*d**2 - 13*d**4 + 0*d**2 - 3*d + 5*d - d**3 in the form f*d**4 + l*d**2 + x*d**3 + v + k*d and give f.
-13
Rearrange 4 - 6 - p - 2*p**3 + 4*p to the form d + n*p**2 + c*p + l*p**3 and give l.
-2
Rearrange -q**2 - 2 + 3 - 1904*q + 1903*q - 3*q**4 to the form a + c*q**4 + d*q**3 + s*q**2 + v*q and give a.
1
Rearrange (6*p - 7*p - 6*p)*(6*p**3 - 5*p**3 - 4*p**3) - 2*p + 3*p**4 + p - 5*p**4 to the form m*p**3 + b*p**2 + z*p**4 + o*p + a and give a.
0
Express 0*o + o**2 + 0*o + (-1 + 5 - 2)*(2*o**2 + o**2 - 2*o**2) + o + o + o**2 - 3*o in the form v + z*o**2 + h*o and give z.
4
Express (-2*o - 3*o + 3*o + o + 4*o - 4*o + (-o - o + 3*o)*(1 + 1 - 1) + 1 + 2*o - 1)*(15 - 4 + 9)*(-3 + 2 - 1) in the form q + j*o and give j.
-80
Rearrange 5*k**2 - 14 + 14 + (-147*k + 2 - 10*k**2 + 147*k)*(0 + 5 - 4) to o*k**2 + s + n*k and give o.
-5
Express -7*w - 30 + 3*w + 6*w as b + f*w and give b.
-30
Express ((-4 - 1 + 6)*(2 - 2*p**3 - 2) - 2*p**2 + 2*p**2 - p**3)*(-3*p + 2*p - 4*p) in the form r*p**2 + h + t*p**3 + w*p + j*p**4 and give j.
15
Rearrange 2*f**3 + 103*f**4 - 2*f**3 + 72*f**4 + (1 - 1 - f)*(f**3 - f**2 + f**2) to the form r*f**3 + u*f**4 + i + w*f + a*f**2 and give u.
174
Rearrange -5*v**2 + 3*v**2 - 2*v**2 - 11*v**2 to b*v**2 + a*v + f and give b.
-15
Express -3*w + 8*w + 51*w**4 - 50*w**4 + 1 as r*w + j*w**4 + z*w**2 + a*w**3 + k and give j.
1
Rearrange 3*a + 0*a**4 - 13*a**3 - 4 + 14*a**3 + 3*a - a**4 to the form g*a**3 + w + t*a + m*a**4 + p*a**2 and give w.
-4
Rearrange -27*g - 325 + 325 to u + c*g and give c.
-27
Express 3 + 1483*w**2 - 2 - 1490*w**2 + 4*w**3 in the form v + q*w**3 + y*w**2 + j*w and give q.
4
Express 4 + 3*z - 4 - 10*z as k*z + p and give k.
-7
Rearrange 0*h - 2*h**2 + 5*h**2 + 2*h**3 - 3*h - 4*h**2 to m + v*h**3 + l*h**2 + a*h and give a.
-3
Express -4*r + r + 5*r + 19*r in the form h + p*r and give p.
21
Rearrange (6*p - 3*p**2 - p - 3*p)*(2 - 2 - p)*(3 - 2 + 7) to the form l*p**2 + a*p + v + b*p**3 and give l.
-16
Express 0 + q**3 + 0 + (-1 + 4*q + 1)*(-q**2 + 3 - 3) as g*q**2 + z*q + j + k*q**3 and give k.
-3
Rearrange 10*o**2 - 10*o - 12*o - 1 + 21*o to the form n + c*o + m*o**2 and give m.
10
Rearrange -m + m - 3*m**2 + (-m - 3 + 3)*(2 - 2 + 3*m) to z*m + f*m**2 + o and give f.
-6
Express (1 - 1 - 3)*(0*w - 3*w + 4*w)*(-1 + 1 + 1) in the form q + t*w and give t.
-3
Express -w - 3*w**3 + 0*w + 3*w + w**3 - w**2 - 2 as x*w**3 + j*w + b + s*w**2 and give s.
-1
Rearrange (-3*y + y + 3*y)*(1 - 3 + 4)*(2 - 13 + 4)*(1 - 2 + 4) to v*y + n and give v.
-42
Rearrange -2*r**2 + 24 - 14 - r**2 to a*r**2 + g + i*r and give a.
-3
Rearrange -4*z**4 - 5*z + 0*z**4 - 6*z**2 - 2*z**3 + 6*z**4 + 3*z to c*z + p*z**4 + v + x*z**2 + n*z**3 and give n.
-2
Rearrange 3*y + 10 + 2*y + y - 3*y to the form d + c*y and give d.
10
Express (2 + 0 - 1)*(23*q - 33 + 18 + 16) in the form c + n*q and give n.
23
Rearrange -44*x + x**3 + 2*x**2 + 44*x to z*x**3 + v + s*x + m*x**2 and give z.
1
Express (-i + 3*i - 5*i + (-1 - 1 + 4)*(1 - 1 - 3*i) + 3 - 3 + 2*i)*(1 + 3 - 3) as h + l*i and give l.
-7
Express 12 + 7*v - 25*v + 5*v + 7*v in the form o + q*v and give q.
-6
Rearrange 55*b**2 - 2*b**2 + 1 + 1 to q*b**2 + j*b + z and give z.
2
Express 1543*l - 1543*l + 78*l**2 as k*l + o + w*l**2 and give w.
78
Rearrange 2*l**2 + 3*l**3 + 4*l**2 - 3*l**2 - 2*l**3 to the form f + c*l**3 + n*l**2 + k*l and give f.
0
Rearrange ((-4*a + 4*a + a)*(0*a + a + 0*a) + 21 + 9*a**2 - 21)*(-5 + 3 + 0) to i*a**2 + y*a + w and give i.
-20
Express -6*m - 18*m + 11*m**3 - 2 - 24*m**3 + m**2 + 11*m**3 in the form b + d*m + s*m**2 + o*m**3 and give b.
-2
Rearrange (0 + 0 + p**2)*(-16*p**2 + 14*p**2 - 35*p**2) to h*p + f + o*p**2 + t*p**3 + g*p**4 and give g.
-37
Rearrange (s + 11*s - 3*s)*(2 + 0 - 3) + (-1 + 4 - 5)*(0*s + 0*s - 2*s) to the form l*s + u and give u.
0
Rearrange 2*b**3 + 0*b - 4*b + b**2 - 15*b - 11*b to the form g + q*b + a*b**3 + y*b**2 and give a.
2
Express -97 + 14*m + 37 + 30 + 31 in the form b + x*m and give x.
14
Express -21*g + 5*g + 13*g in the form v*g + n and give v.
-3
Express -1 + t**4 + 50*t**3 - 102*t**3 + 49*t**3 - 3*t**2 as p + w*t**3 + d*t**2 + i*t**4 + x*t and give d.
-3
Rearrange -2*z**2 + 2*z**3 + z**2 + 2*z**2 + (-2*z**2 + 3 - 3)*(-2*z + 0*z - z) to the form q*z + s + y*z**3 + t*z**2 and give y.
8
Rearrange (6 - 2 - 3)*(-x**4 + 6*x**4 + x**4) + (0*x**4 + 2*x**4 - 3*x**4)*(-4 - 2 + 4) + x**3 - 3*x**4 - x**3 to s*x + r*x**3 + l*x**4 + m + y*x**2 and give l.
5
Rearrange -259*n + n**2 + 259*n - n**3 to the form i*n**3 + g*n**2 + u*n + t and give g.
1
Express g + 8*g**2 - 9*g**3 - 12*g**2 + 4*g**2 in the form d*g + l*g**3 + c*g**2 + f and give d.
1
Express 56 + 49*r - 56 as j*r + w and give j.
49
Express (2*q**4 - q**3 + q**3)*(-1 + 2 + 1) + 2*q**2 - 2*q**2 + 2*q**4 - 22*q**3 + 79*q**4 + 22*q**3 in the form x*q**2 + t*q**4 + r*q + h*q**3 + n and give t.
85
Rearrange -5*n + 2*n**4 + 14*n**3 + 11*n**3 + 3*n + 1 - 9*n**3 to the form u*n**2 + b*n + c + v*n**3 + j*n**4 and give v.
16
Rearrange 19*b + b + 39*b to the form v + f*b and give v.
0
Express (4*x - x + 0*x)*(x - 8 - 2*x - x**2 - 19) as b + u*x**2 + h*x + m*x**3 and give h.
-81
Rearrange 7*v + 0*v**2 - 65 + 64 + 3*v**4 + v**2 to the form b*v**4 + z*v + o + l*v**2 + h*v**3 and give l.
1
Express -116*i + 236*i - 119*i - 27*i**2 in the form v + g*i**2 + s*i and give s.
1
Rearrange 2*w + 19*w**2 + 4*w - 20*w**2 + 2*w**3 to the form x*w**2 + k + l*w + d*w**3 and give x.
-1
Rearrange (2*a**3 + 0*a**3 + 0*a**3)*(-107 - 28*a + 107) to the form p + f*a**2 + c*a**4 + k*a**3 + y*a and give c.
-56
Rearrange -11*i - 3 - 15*i + 33*i to the form v*i + m and give m.
-3
Express (-42 + 24 + 184)*(2*z**3 + 4*z - 4*z) in the form l*z**2 + j*z + n*z**3 + m and give n.
332
Rearrange (-c**2 - 3*c**2 + 3*c**2)*(-74*c - 158 + 158) to i*c**3 + x*c**2 + d*c + p and give i.
74
Rearrange (-t - t + t)*(-1 + 5*t + 1) to the form h*t**2 + f*t + i and give h.
-5
Express (-7 + 6 + 4)*(-3*g - 2 + 11*g - 6*g)*(1 - 2 + 2) as l*g + q and give q.
-6
Express (1 - 1 - 1)*(-6*m**2 + 2*m**2 + m**2) + 7*m**2 + 8*m**2 - 27*m**2 as j*m**2 + b + d*m and give j.
-9
Rearrange -11*z - 4 - 14*z + 4 to w*z + n and give w.
-25
Rearrange -1 - 12*p**3 - 2*p - 6*p**3 + 3*p**3 to the form x*p + h*p**2 + g*p**3 + z and give z.
-1
Express -127*y + 509 - 509 as m + c*y and give c.
-127
Rearrange -2*g - 3*g + 2*g - g + g + 3*g + 2*g - g + g + (1 + 0 - 2)*(-3*g + 4*g - 5*g) to the form h*g + v and give h.
6
Rearrange -42*p**2 - 7 + 9 + p - 2 to f +
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 0 - 1/6*f**3 + f. Determine i(4).
-4
Let h(b) = -2*b**3 + 3*b**2 - 6*b. Let f(q) = -3*q**3 + 3*q**2 - 7*q. Let w(n) = -3*f(n) + 4*h(n). Give w(-4).
-4
Let y(p) = p + 13. Let q(a) = -3*a - 38. Let f = 2 - -6. Let i(b) = f*y(b) + 3*q(b). Let s(v) = 2*v + 1. Let c be s(-3). Calculate i(c).
-5
Let z(v) be the first derivative of -v**4/4 - 5*v**3/3 + 5*v**2/2 - 3*v + 43. Give z(-6).
3
Let a(l) be the first derivative of 2 - 1/2*l**2 + 5/4*l**4 - 1/3*l**3 - l. Let p = 26 + -27. Calculate a(p).
-6
Let h(n) = 6*n**3 - 4*n - 3. Let o(g) = 11*g**3 - 9*g - 7. Let z(p) = 7*h(p) - 3*o(p). Calculate z(-1).
-8
Let d(m) = -m + 2*m**2 + 3*m**2 - 9*m**2 + 3*m**2 + 2. Let t be -1 + (1 - 2 - -2). Give d(t).
2
Let b(s) = 3*s**2 + 4*s. Let z be b(-2). Let n(y) = -3 + 4 - 2*y**2 - y + 3*y**2. Determine n(z).
13
Let d(f) = f**3 + 3*f**2 + f - 4. Suppose 4*l + 20 = -4*c, -l - 2*l + 4*c = 8. What is d(l)?
-24
Let d(i) = -i + 2. Suppose x + 10 = 6*x. Suppose -8 = -x*h + 2. Calculate d(h).
-3
Let p(v) be the first derivative of v + 4/3*v**3 - 4 + 1/2*v**2. What is p(-1)?
4
Let o(r) = -r**3 - r**2 - r - 9. Let q(m) = m**2 + m - 2. Suppose 2*j - 4*j - 4 = 0. Let w be q(j). What is o(w)?
-9
Let o(g) = -5*g**3. Let j be -2*(0 + 4/8). What is o(j)?
5
Let c(n) = -2*n + 4. Let f(o) = o + 8. Let g be f(-9). Let i = g - -6. Give c(i).
-6
Let r(s) = s**3 - 3*s**2 - 4*s + 3. Let b be r(4). Let h(f) = f + 4 - b*f + f. Let i be 1 + (-3)/3 + 0. What is h(i)?
4
Let k(q) = -q**3 + 2*q**2 + 4. Let j(d) = d**2 + 7*d + 8. Let i be j(-6). Let y(t) = -3*t**3 + 5*t**2 + 7. Let p(m) = i*y(m) - 5*k(m). Give p(0).
-6
Suppose 0*l = 4*l + 3*n - 5, 4*n = -4*l + 8. Let k(f) = 17*f + 1. Determine k(l).
-16
Let y(p) = -7*p - 1. Let h(s) be the second derivative of -5*s**3/3 - s**2 - 2*s. Let o(v) = -5*h(v) + 7*y(v). Give o(-5).
-2
Let f = -5 + 9. Let c(p) = -f*p + 6*p - 3*p. Suppose -28 = 4*x + 4*k, 2*x + k = -4 - 8. Calculate c(x).
5
Let c(d) = 2*d + 2. Let g = -13 + 8. Let b = g - -9. Suppose -2*q - 2*p = -2, 2*q - b*p = 3*q + 2. Determine c(q).
6
Let a(z) = -2*z**3 - 7*z**2 + 4*z - 2. Let v(h) be the first derivative of 3*h**4/4 + 10*h**3/3 - 3*h**2 + 3*h + 5. Let t(o) = 7*a(o) + 5*v(o). Determine t(2).
9
Let k(p) = p - 10. Let s(t) = t - 3*t + 21 + 4*t - 4*t. Let u(n) = -13*k(n) - 6*s(n). Determine u(2).
2
Let v = -36 + 30. Let r(k) = k + 7. Calculate r(v).
1
Let k(n) be the second derivative of 7*n**3/6 + n**2/2 - 3*n - 3. Let u = 0 + 1. Determine k(u).
8
Let c(l) = 3*l + 4. Let m(x) = -x - 3. Let a(y) = y + 4. Let i(j) = -3*a(j) - 4*m(j). Let s be i(2). Suppose 4*h + 6*p = p - 26, s*h = 2*p - 4. What is c(h)?
-8
Suppose 5*z = -2*s + 21 - 0, -4*s - 2*z + 2 = 0. Let d be (-6)/s - (-1 + -1). Let g(b) = b**2 - 6*b + 1. Calculate g(d).
-4
Let x(d) = d**3 - d**2 - 3*d + 3. Let v(u) = 2*u - 6. Let k be v(4). What is x(k)?
1
Let c(j) be the second derivative of j**3/6 + 5*j**2/2 - j. Calculate c(-4).
1
Let x(s) be the first derivative of -s**4/4 - 4*s**3/3 - s**2/2 - s - 14. Give x(-4).
3
Let g(v) = 4 + 0 - 4*v**2 - 2 - 3*v + 2 - v**3. Determine g(-3).
4
Let l(g) be the third derivative of g**6/120 - 7*g**5/60 + g**4/24 - 9*g**2. Calculate l(7).
7
Let c(j) = -3 + 3*j + 1 - 1 + 2. Let z(g) = g - 1. Let s(o) = -c(o) + z(o). Determine s(3).
-6
Let t(i) be the third derivative of i**4/24 + 5*i**3/2 - 17*i**2. Calculate t(-7).
8
Let z = 6 - 10. Let i(p) = -p**2 - 5*p - 4. Calculate i(z).
0
Let j(t) be the second derivative of -t + 0*t**2 - 1/120*t**5 - 1/24*t**4 + 0 - 1/3*t**3. Let i(m) be the second derivative of j(m). Calculate i(-4).
3
Let n = 14 - 15. Let w(x) be the first derivative of x**2 - 1/2*x**4 + 2/3*x**3 + x + 1. Calculate w(n).
3
Let p(f) = f**2 + 7*f - 12. Suppose 25 = -5*s, -3*i + 0 = -5*s + 2. Calculate p(i).
6
Let c(f) be the third derivative of 1/12*f**4 - 2*f**2 + 1/40*f**5 + 0*f + 0 - 1/240*f**6 + 0*f**3. Let s(q) be the second derivative of c(q). Determine s(3).
-6
Let j be 2/(-4)*(-4 - 0). Let o(b) = -j + 3 + 3*b + 0. Suppose 0 = 2*l, 0 = -2*x - 3*l + 4 - 0. Determine o(x).
7
Let p(h) = h**2 + 1. Let q(w) = -5*w**2 + 3*w - 7. Let t(n) = 6*p(n) + q(n). Suppose -a = m - 4, -m - 5*a + 2 = -3*a. Let b = m + -9. Calculate t(b).
-1
Let h(i) = -5*i - 2. Let g = 10 - 8. Determine h(g).
-12
Suppose -2*a = 0, -4*x - 3*a - 5 = 7. Let c(q) = -1 + 13*q - 27*q + 10*q. Give c(x).
11
Let v(b) be the second derivative of 2*b**3/3 + 3*b**2 - 18*b. Give v(-7).
-22
Let o(b) = -b**2 + 7*b. Let m(s) = -s + 1. Let d = 0 + -6. Let c be ((-3)/9)/(2/d). Let t(v) = c*o(v) + 2*m(v). Give t(6).
-4
Let g(s) be the first derivative of -s**4/4 - 4*s**3/3 + 5*s - 1. Let z be g(-4). Let n(j) = j**3 - 6*j**2 + 4*j - 2. What is n(z)?
-7
Let g = 1 + -3. Suppose k - 5 + 3 = 0. Let b(t) = -1 - k*t**2 + 2 - 2*t - 4 - t**3. Determine b(g).
1
Let f = 21 + -13. Suppose 3*q + 35 = f*q. Let p(t) = -2*t - 1 - q - t**3 + 3*t. Give p(0).
-8
Let h(d) be the first derivative of -7*d**2/2 + 5*d - 3. Let o(y) = y. Let s(m) = -h(m) - 5*o(m). Let p be s(5). Let u(q) = q**2 - 8*q + 5. What is u(p)?
-10
Let v(w) be the second derivative of -3*w**4/4 + w**3/6 - 5*w. Determine v(-1).
-10
Let x(c) = c**3 + 4*c**2 - 4*c - 3. Let i = 1 + -6. What is x(i)?
-8
Let y(n) = -n**3 + 3*n**2 + 6*n - 3. Let r be 6/(-5)*20/(-6). Calculate y(r).
5
Suppose 3*p + 9 = 2*p + 2*g, 4*g - 17 = 3*p. Suppose 16 = -i + 5*j, -4*i + 3*j + 3 = -p. Let b(v) = v - i + 4. Give b(4).
4
Let a(k) = -4*k**3 + 2*k**2 + 6*k + 3. Let z = -5 + 8. Let t(v) = -5*v + 4 - 3 - 4 + z*v**3 - 2*v**2. Let i(g) = 2*a(g) + 3*t(g). What is i(3)?
-3
Let t be (-4 - -3) + 9/3. Let g(d) = d**2 - d + 1. Give g(t).
3
Let d(p) = 4*p + 7. Let r(z) = 2*z + 3. Let h(b) = -6*d(b) + 13*r(b). Calculate h(3).
3
Let q(i) = i**3 - 6*i**2 - i + 1. Let k be ((-4)/(-6))/((-6)/(-54)). Calculate q(k).
-5
Suppose 90 = -13*d + 18*d. Let v be d/(-27) + (-10)/(-6). Let a(l) = -2 + l**2 - 10*l**2 + 1. Calculate a(v).
-10
Suppose 7*c = 2*c. Let d(w) = -4 + w**2 - w + c - w. Suppose 5*o + 2*z = -0*z + 21, -o + 15 = 4*z. Determine d(o).
-1
Let b(r) = -9*r + 5 - 6*r**3 + 5*r**3 + 10*r. What is b(0)?
5
Let y be 0 + 3 - (-2)/2. Let n(t) = 5 - y - 2 + 2 - t. Let x(a) = a**2 - 3*a - 1. Let i be x(4). Determine n(i).
-2
Let q(u) be the third derivative of -1/3*u**3 + 0*u + 3*u**2 + 0 + 1/15*u**5 + 1/120*u**6 - 1/24*u**4. Let d = -8 + 4. Give q(d).
2
Let v be (-2)/5 - 108/30. Let x(m) be the third derivative of -m**4/24 - 2*m**3/3 - 2*m**2. What is x(v)?
0
Let i(y) = -y - 1. Let l(d) = -d**2 + 5. Suppose 0 = 3*v - 0*v. Let b be l(v). What is i(b)?
-6
Let h be -2 + 2 + (-9)/(-3). Suppose 4*y = -4*t - 10 + 46, -3*t - 5*y + 17 = 0. Let k(v) = -v - 11 + 0*v + t. Determine k(h).
0
Suppose 2*f - 12 = -2*d, -4*d + 5*f + 18 = 3*f. Let r(p) = 0 - 1 + p + d. Give r(0).
4
Let t(x) be the first derivative of -x**3/3 - x**2 - 2*x + 5. What is t(-3)?
-5
Let q(v) = 15*v. Let c(w) = 15*w. Let s(h) = 5*c(h) - 6*q(h). Determine s(1).
-15
Let a(n) = -n**3 - n**2 + n + 1. Suppose 9 + 3 = -2*w + 4*d, 2*w - d + 6 = 0. Calculate a(w).
3
Let k be (-4)/(2/(-6) - -1). Let l be 2/k + (-44)/12. Let h(w) be the second derivative of -w**3/6 - w. Calculate h(l).
4
Let i = -24 + 28. Let r(s) = s**3 - 4*s**2 + 3*s - 1. Determine r(i).
11
Let r(g) = g**3 + 3*g**2 - 2*g + 1. Suppose 0 = -v - 3*v + 28. Suppose 0*w = j - 2*w - 8, 5*w + v = -4*j. Suppose -m - 12 = j*m. What is r(m)?
-7
Let x(p) be the third derivative of 1/4*p**4 - 1/120*p**6 + p**2 - p**3 + 0*p + 0 - 1/12*p**5. What is x(-6)?
-6
Let w(r) = -8*r + 1. Let b(d) = -d**2 + 6*d + 1. Let l be -6*(2 + (-16)/6). Let z be (-2 - 2)*(-6)/l. Let n be b(z). Determine w(n).
-7
Let u(y) = -y**3 - 7*y**2 + 8*y + 12. Let x(a) = 7*a**3 - a**2. Let w be x(-1). Determine u(w).
12
Let m(r) = -r + 5. Suppose -4*g = 22 - 2. Let d be 84/9 - 2/6. Let s = d + g. What is m(s)?
1
Suppose 0 = -5*u + 9 + 1. Let x(t) = -t - 10 + u + 2 + 0*t. Calculate x(-6).
0
Suppose 0 = -5*s - u - 4, -3*s - u - 3 = s. Let m(z) = -2*z + 7*z + 1 - 6*z. Let x be m(s). Let o(h) = 3*h. Give o(x).
6
Let l(p) = 6*p**2 - 2*p + 7. Let k(h) = -6*h**2 + 2*h - 6. Let j(u) = 6*k(u) + 5*l(u). Calculate j(1).
-5
Let s(z) = -6*z + 13. Let p(c) = 3*c - 6. Let d = 5 + 1. Let u(x) = d*s(x) + 13*p(x). Suppose 4*t = 3*f - 2*f - 3, -5*t - 4*f - 30 = 0. W
|
{
"pile_set_name": "DM Mathematics"
}
|
12) - sqrt(112)*1))**2 + -3*((sqrt(84)/sqrt(3) - sqrt(28))/sqrt(4)*3)**2 + -5.
-56*sqrt(7) + 156
Simplify ((3*2*sqrt(119)*-2*4)/(4*sqrt(4032)*1 - sqrt(4032)))**2.
68/9
Simplify (-1*sqrt(102)*-1)/(sqrt(6) - sqrt(384)*-3) + ((sqrt(17) - 6*sqrt(17)*1) + 1)**2 + (1 + sqrt(68)/sqrt(4) - -2*sqrt(17)*-1)**2.
-299*sqrt(17)/25 + 444
Simplify ((sqrt(88)/sqrt(4) - sqrt(22))*5 + -3*sqrt(22)*3)/((sqrt(128) - -1*sqrt(128))*5 + 5*sqrt(128)*-1).
-9*sqrt(11)/40
Simplify (4 + (-1*sqrt(500))**2)*2 - (6*(sqrt(45) + sqrt(270)/sqrt(6)) + sqrt(45))/(4*sqrt(144)).
-13*sqrt(5)/16 + 1008
Simplify (5*3*(sqrt(7) - (sqrt(7) - sqrt(70)/(sqrt(20)/sqrt(2) + sqrt(10))))*-4)**2 + 3 + 0 + ((sqrt(1008) + sqrt(1008) + 1*sqrt(1008)*3)**2 - sqrt(1008)).
-12*sqrt(7) + 31503
Simplify -5*-5*(3 + (sqrt(147) + -2 - sqrt(147))) + (0 + -3 + sqrt(147) + -3*sqrt(147) + -5)**2.
224*sqrt(3) + 677
Simplify 5 + 2 + (-5*(0 + sqrt(76)*2*-5 + sqrt(76) + -3*(sqrt(76)*-2 + sqrt(76))))**2 + 0.
68407
Simplify ((sqrt(2112) + -4*(sqrt(2112) + (sqrt(2112) - 1*sqrt(2112) - sqrt(2112))) - (sqrt(2112) - -2*sqrt(2112)*-1))/(-2*(4*sqrt(48))/sqrt(4)))**2.
11
Simplify 3 + sqrt(1539) + (sqrt(1539) - (sqrt(1539)*1 + 1))**2 + 0 + ((1 + 3*sqrt(171)*-1)*-4)**2.
-279*sqrt(19) + 24644
Simplify ((-2*sqrt(1872) + -4 - (sqrt(1872) + 1)*1 - (-4 + sqrt(1872)*2)*-5) + 0 + 2 + -4)**2.
-4536*sqrt(13) + 92457
Simplify (5*(1*(sqrt(12) + 0 + sqrt(132)/sqrt(11)) - sqrt(1452)*-3*-1))**2*-6.
-1729800
Simplify 3*((sqrt(720)*2 + -2)**2 + (sqrt(720) - (1 + -1*sqrt(720)) - sqrt(720))) + ((3*sqrt(50)*-5)/((sqrt(10)*-2 + sqrt(10))*1))**2.
-252*sqrt(5) + 9774
Simplify (((sqrt(234) + sqrt(26))/sqrt(2) + sqrt(52) + 3)*-2)**2 + (sqrt(13) + 1)*5 + sqrt(208) + 4 + 2.
153*sqrt(13) + 1919
Simplify (((sqrt(7) + -5 + sqrt(7) + sqrt(7))*4*4 + -4)**2 + -4 + (2*sqrt(49)/sqrt(7)*-5)**2)*-4.
-95520 + 32256*sqrt(7)
Simplify ((sqrt(15)*-1*-1)/(sqrt(33)/(sqrt(44)/sqrt(4))) - (sqrt(120)/sqrt(4)*4)/(5*1*sqrt(6)))*-3.
-3*sqrt(5)/5
Simplify (sqrt(288) - sqrt(288)*-1)*3 - (5 + (-1 + sqrt(2))*-3)**2 - (((sqrt(162) + -1*sqrt(162)*-6 - sqrt(162))*6)**2 + -2).
-210032 + 120*sqrt(2)
Simplify (-4 + (-1 + sqrt(1300) + 2 - -4*(sqrt(1300) + 1 + sqrt(1300))) - ((sqrt(117)*3 + 4 - sqrt(117))*-3 + -4))**2.
3672*sqrt(13) + 151921
Simplify ((sqrt(686)*-2*6*-6)/((sqrt(14)/(sqrt(7)*1 + sqrt(7)) + (sqrt(2) + sqrt(18)*-2 - sqrt(2)))*-1))**2.
7112448/121
Simplify 2 + (4*sqrt(19)*-1*4)**2 + sqrt(475) + 4 + -3 + -5.
5*sqrt(19) + 4862
Simplify -4 + ((5*4*sqrt(52) - sqrt(130)/(-1*sqrt(160) + sqrt(10)))*-3 + -1)**2.
242*sqrt(13) + 190330
Simplify ((3 + sqrt(288)*-1 - sqrt(288) - sqrt(288))*-3 + ((-1*sqrt(288))**2 + 3 - (3 + (-1 + sqrt(288))**2)))*-3.
-396*sqrt(2) + 30
Simplify (0 + (4*(sqrt(175)*2 - sqrt(175))*3 - (sqrt(175) + -1 + sqrt(175) + sqrt(175) + 0 + sqrt(175)*2 + 2))**2)*3.
-210*sqrt(7) + 25728
Simplify -2 + 2 + (-3*sqrt(14)*-5*1)/(6*-5*sqrt(200)).
-sqrt(7)/20
Simplify -5 + ((4 + sqrt(1377) + 0)*-3 + -1)**2*-6*4*-1.
16848*sqrt(17) + 301483
Simplify (sqrt(8)*-2*4)/((sqrt(140)/sqrt(5))/sqrt(7)) - ((sqrt(16) - sqrt(80)/sqrt(5))*5)/(-3*sqrt(200)).
-8*sqrt(2)
Simplify (-2 + ((5*(sqrt(98) - (sqrt(98) + -1)) + -1)*1 - (sqrt(98) + (-2 + sqrt(98))*2 - (0 + sqrt(98))*-4)))**2.
-588*sqrt(2) + 4838
Simplify (-5 + (-3 + 4*(sqrt(1872) + 2) - 1*(0 + sqrt(1872) + -1)))**2 + -3.
72*sqrt(13) + 16846
Simplify ((-1 + (-1*sqrt(704) + -1 - sqrt(704) - sqrt(77)/((sqrt(7) + sqrt(112))*-6)) + -1)*1)**2.
479*sqrt(11)/5 + 2531951/900
Simplify ((-2*sqrt(363))**2 - (-1 + sqrt(3)*2)) + -2 + (-2 + sqrt(75) - sqrt(75) - sqrt(75))**2 + -1.
18*sqrt(3) + 1529
Simplify -4*(-6*1*((sqrt(432) + 1 - sqrt(432)) + 5) + (0 + -3*sqrt(432) + sqrt(432) - -1*sqrt(432)*-4)).
144 + 288*sqrt(3)
Simplify (sqrt(130)/sqrt(160) + (sqrt(52)/sqrt(4) - sqrt(13)) + 0 - (-4 + sqrt(7488))**2)*3.
-22512 + 2307*sqrt(13)/4
Simplify (((1*sqrt(225)*5 + sqrt(225))/(sqrt(15)/(sqrt(9)/sqrt(3))))/(((-1*sqrt(54))/sqrt(6) - sqrt(9)) + (sqrt(252)/sqrt(7))/sqrt(4)))**2.
180
Simplify (1*sqrt(832)*-3 + 2)*5 - ((sqrt(832) + -2)**2*-3 - (sqrt(832) + 3 + -5 - sqrt(832))**2).
-216*sqrt(13) + 2522
Simplify ((-6*(sqrt(91) - sqrt(91)*-3) + sqrt(91) + sqrt(91) + -2*(sqrt(91) - 1*sqrt(91)))/((-5*sqrt(7)*-2 + sqrt(77)/(sqrt(11)*1) + sqrt(7))*-6))**2.
1573/1296
Simplify ((6*sqrt(26)*-2)/(sqrt(288) + sqrt(288)*2 + sqrt(288) + sqrt(2)))**2 + 2 + (((-2*sqrt(325) - sqrt(325)) + -2)**2 - sqrt(325)).
55*sqrt(13) + 7039203/2401
Simplify (-2 + (-1 + sqrt(112) + 0 + sqrt(112) - (-3 + 1 + sqrt(112) - sqrt(112))))**2 + (sqrt(112)*1 + 5*sqrt(14)/sqrt(2))*6*-3.
-178*sqrt(7) + 449
Simplify ((4*2*sqrt(152) + sqrt(152) - (sqrt(152) - -2*sqrt(152)*-2))/((-1*(sqrt(88) - sqrt(88)*-1))/(sqrt(891)*2)))**2.
221616
Simplify -5 + ((sqrt(1500) + (sqrt(1500) - sqrt(1500)*-1*-6) - -3*sqrt(1500)*-2)/(sqrt(720)*-3 + (sqrt(405)*-1 - sqrt(405))))**2 + -4.
313/243
Simplify (sqrt(32)/(sqrt(2)*-4) - (sqrt(1936) + 1*sqrt(1936)))/(sqrt(288)*4 + -5*sqrt(48)/sqrt(6)).
-89*sqrt(2)/76
Simplify (0 + (6*sqrt(187)*3 - (sqrt(187) + sqrt(187)*-2*-4))/(1*sqrt(704)*2*-2))**2.
1377/1024
Simplify (0 + (-3*(sqrt(20)/sqrt(4) - sqrt(5)) - sqrt(160)/sqrt(8)) + (sqrt(1715) + -2*sqrt(1715) + sqrt(1715) - sqrt(1715))/(-2*sqrt(252)))**2.
1445/144
Simplify ((sqrt(143) - (sqrt(143)*2*-5 - sqrt(143))) + 3*sqrt(143)*4)/((sqrt(22) - (sqrt(198) + 1*sqrt(198))/sqrt(9))/(sqrt(2) - (sqrt(2) + -1*sqrt(128)))).
-192*sqrt(13)
Simplify ((-1 + -4*(sqrt(425) + 2) - (2 + 6*(-2 + sqrt(425)))) + -5)**2.
400*sqrt(17) + 42516
Simplify (-2 + 1 + -4 + sqrt(76) + sqrt(76) + -4)**2*-3 + -4.
-1159 + 216*sqrt(19)
Simplify (5*(sqrt(264)*-1*3)/sqrt(11))/(sqrt(512)*1*-5 + sqrt(512) + 2*(sqrt(512) - 1*sqrt(512))).
15*sqrt(3)/32
Simplify 2 + 3*(-1 + sqrt(980) + 0)**2 + ((1*(sqrt(80) - (sqrt(80)*2 + sqrt(80)) - sqrt(80)))/(1*sqrt(4)*-1))**2.
-84*sqrt(5) + 3125
Simplify (-2*sqrt(55)*-1)/((-3*sqrt(77) + sqrt(77))/sqrt(7)) - ((sqrt(160)/sqrt(64) + sqrt(40))/(sqrt(32)/sqrt(16)))**2.
-125/4 - sqrt(5)
Simplify ((2 + -1*sqrt(539))*-2 + 3*-4*sqrt(539)*-5)**2 + 4.
-3472*sqrt(11) + 2071936
Simplify 2 + (sqrt(76)*-4*-3)/(5*sqrt(196))*-1.
-12*sqrt(19)/35 + 2
Simplify (-5*(-2 + ((4 + (sqrt(99) - 2*sqrt(99) - sqrt(99)) + sqrt(99))*-5 + -1)*-1))**2*-3.
-212700 + 42750*sqrt(11)
Simplify ((-3*sqrt(1815) + sqrt(165)/(sqrt(55)/sqrt(5)))/(3*sqrt(720) - sqrt(45)/(-1*sqrt(9))))**2.
3072/1369
Simplify (sqrt(3087) + 1 + sqrt(3087) + -1)**2 + 2 - (-1*sqrt(5103)*-1 - (3*(sqrt(5103) - (0 + sqrt(5103))))**2).
-27*sqrt(7) + 12350
Simplify -3*(-5 + (sqrt(2736) + (sqrt(2736) - (sqrt(2736) + -1 + 1)) - (sqrt(2736)*2 + 3)) - (((sqrt(2736) + 1)*2 - (sqrt(2736) - -1*sqrt(2736))*5) + 1))**2.
-402555 + 5544*sqrt(19)
Simplify (1*-2*sqrt(104) - (sqrt(104) - 3*sqrt(104)*-3))/(sqrt(64)/sqrt(2) - sqrt(32) - sqrt(40)/sqrt(5)*-1)*6.
-72*sqrt(13)
Simplify (sqrt(38) + sqrt(190)/sqrt(5)*5)/(sqrt(54)/sqrt(3) - sqrt(2)) + (2*(2*sqrt(114) + sqrt(114)))/(sqrt(24)*2).
9*sqrt(19)/2
Simplify (-2*(2*sqrt(13) + 5 + 4) - (sqrt(156) + (sqrt(156) + (sqrt(156) - (sqrt(156) - 2*sqrt(156))))*1)/(-3*sqrt(24)/sqrt(2)))**2*4*6.
2304*sqrt(13) + 29984/3
Simplify ((sqrt(104) + (sqrt(104)*-4 - sqrt(104)))/sqrt(8) - (-3*3*sqrt(13))**2) + (sqrt(832) - 1*sqrt(832))**2 + 4 + 5.
-1044 - 4*sqrt(13)
Simplify -4 + 4 + ((sqrt(350)*-2*1 - sqrt(350))/(sqrt(128)*1 + sqrt(2) + sqrt(2) + sqrt(8)*-2))**2.
175/4
Simplify ((4*(sqrt(130)*-3 - sqrt(130)) + -1*2*sqrt(130))/((sqrt(4050)*2)/((sqrt(45) + sqrt(45)*1 + sqrt(45) - sqrt(45))/sqrt(9))))**2.
52
Simplify 4*(-3*-5*-1*sqrt(720))**2 + (((sqrt(720)*2)**2 + sqrt(720))*4 - (sqrt(720) + 1)*-3).
84*sqrt(5) + 659523
Simplify 4 + (5 + sqrt(95)/sqrt(5)*-3 + sqrt(38)/(sqrt(98)*-2 + sqrt(98)))**2*6 + 4.
-1320*sqrt(19)/7 + 62918/49
Simplify ((-5 + -6*(sqrt(468) + -2))*-3 + (1 + sqrt(65)/sqrt(5)*-1)*2*-3)**2.
-6156*sqrt(13) + 169677
Simplify 5 + 5 + ((2 + -1*sqrt(300)*-6)**2 - (1*(2 + sqrt(300) + 1 + sqrt(300)))**2).
120*sqrt(3) + 9605
Simplify 2 + sqrt(700) + sqrt(700) + ((sqrt(700) - (sqrt(700) + -2 + sqrt(700)))*-5)**2 + sqrt(700)*-1*-1 + -1*(-1*sqrt(700) + 1) + 0.
-960*sqrt(7) + 17601
Simplify ((sqrt(342) + sqrt(342) + 2*sqrt(342)*-2)/(sqrt(81)*-1 + sqrt(9)))/((sqrt(288)*-2 - sqrt(288))/((sqrt(20)*-2)/sqrt(5))).
sqrt(19)/9
Simplify (sqrt(66)/sqrt(294) + -5*sqrt(77)/sqrt(7) + sqrt(8
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1296*f + 3 wrt f?
-21006*f
Find the second derivative of 26*f**4*i - f**3*i**2 + 29*f**2*i - 3*f*i**2 - 736*i**2 wrt f.
312*f**2*i - 6*f*i**2 + 58*i
Find the first derivative of -4196*j**4 + 2802 wrt j.
-16784*j**3
Find the third derivative of -22*s**4 + 14*s**3 - 5*s**2 + 230.
-528*s + 84
What is the first derivative of -2*k**3*p - 10358*k**3 + 3001*p**2 wrt p?
-2*k**3 + 6002*p
What is the second derivative of 2*z**3 - 89*z**2 - 565*z?
12*z - 178
What is the first derivative of 7922*u**2 + 2*u + 3796 wrt u?
15844*u + 2
Find the second derivative of 181*g*w**4 + 116*g*w wrt w.
2172*g*w**2
Find the first derivative of -1015*p + 741 wrt p.
-1015
Differentiate -5*i*l**3 + 42*i*l*u**3 - 4*l**3*u - 3*l**2*u**3 with respect to i.
-5*l**3 + 42*l*u**3
Find the first derivative of -432*p**2 + 2*p + 2037 wrt p.
-864*p + 2
What is the second derivative of -1338*h**3*m - 3*h**3 + h**2*m + 2*h**2 - 9*h*m - 3*h - 10*m + 8 wrt h?
-8028*h*m - 18*h + 2*m + 4
Find the third derivative of 4761*d**3*q**3 - 6*d**3*q - d**3 - 2*d*q**2 + 20 wrt q.
28566*d**3
What is the second derivative of -214*d**2*t**3 - d - 40*t**3 - 2*t wrt d?
-428*t**3
Differentiate 8*p**2*w + 4*p**2 + 3*p*w**3 + p*w + 4*p + 12*w**2 + 235 with respect to w.
8*p**2 + 9*p*w**2 + p + 24*w
What is the third derivative of -954*x**3 - 150*x**2 + x?
-5724
What is the derivative of 1732*j + 1680 wrt j?
1732
What is the first derivative of 21*c*f**2*g - 4*c*f*r**2 - 16*c*g*r + 6*f**2*g - 24*f*g*r**2 + 2*f*r - 5*r**2 wrt c?
21*f**2*g - 4*f*r**2 - 16*g*r
Find the third derivative of -4*p**3*s**3 + 71*p**3*s**2*z**3 - 11*p**2*s**2 + 17*p*s*z - 2*s**3*z**2 - 2*z**3 wrt p.
-24*s**3 + 426*s**2*z**3
Find the second derivative of -12*r**4 + r**3 - 136*r**2 + 5209*r.
-144*r**2 + 6*r - 272
Find the third derivative of -849*j**6 + j**5 - 144*j**2 + 4*j wrt j.
-101880*j**3 + 60*j**2
Differentiate -19023*m**2 + 9795.
-38046*m
Differentiate -15521*k - 7461 wrt k.
-15521
What is the derivative of 1108*v + 17411 wrt v?
1108
Find the third derivative of -11724*q**5 + 6790*q**2 wrt q.
-703440*q**2
Find the third derivative of -28*c**4 + 233*c**2.
-672*c
Find the third derivative of -4*d**2*s**3*y + d**2*s**2*y - 4*d**2*s*y - 3*d**2 - 2*d*s**3*y - 9*s**3 wrt s.
-24*d**2*y - 12*d*y - 54
Find the second derivative of 136*a**3*z**2 + 2*a**2*z - a*z**2 - 4*a*z + z wrt a.
816*a*z**2 + 4*z
What is the derivative of 5*j*m**3 - 14*j*m - 28*m**3 - 1 wrt j?
5*m**3 - 14*m
What is the second derivative of 13*o**2*u**2 + 12*o**2 - 27*o*u**2 - 8*o*u + 2*u wrt u?
26*o**2 - 54*o
Find the second derivative of -3865*i**4 - 2*i - 941 wrt i.
-46380*i**2
What is the second derivative of 3166*r**2*u**3 + 3*r**2*u - 3032*r*u**2 + 2*u**3 wrt r?
6332*u**3 + 6*u
Find the second derivative of -273*m**2*r**3*v - 5*m**2*v**2 - 35*m*r**2 + 5*m*v**2 - 3*r**3*v**2 wrt m.
-546*r**3*v - 10*v**2
Find the third derivative of 3*b**3*t**3 + 3*b**3 + 2*b**2*t**2 - t**3 wrt b.
18*t**3 + 18
What is the derivative of -546*s**4 + 2*s**3 - 2*s**2 - 6571?
-2184*s**3 + 6*s**2 - 4*s
Find the first derivative of c**2*g*i - c**2*i + 3*c*g*i*y + 2*c*g*y + 5*c*i*y - g + i*y wrt g.
c**2*i + 3*c*i*y + 2*c*y - 1
Find the first derivative of 57*d**4 + 2*d - 685 wrt d.
228*d**3 + 2
What is the first derivative of -4*g*r + 9*g*z**4 - 3*g*z + 14*r*z**4 - 1289*r wrt z?
36*g*z**3 - 3*g + 56*r*z**3
Find the third derivative of -64*s**4 + 146*s**3 - 42*s**2.
-1536*s + 876
Differentiate -2*h*x**2*z - 19*h*x**2 + h*z - 9*x**2*z + 9*x*z with respect to h.
-2*x**2*z - 19*x**2 + z
What is the third derivative of 2*b*x**4 - 197*b*x**3 - 2*b*x**2 + 223 wrt x?
48*b*x - 1182*b
Find the second derivative of -22*h**5*x*y**3 + 3*h**3*y**3 - 5*h*x*y**2 + 5*x*y**3 - 3*y wrt h.
-440*h**3*x*y**3 + 18*h*y**3
Find the first derivative of -17549*u - 19505 wrt u.
-17549
Find the second derivative of h**2*o**2*z + 3*h**2*o*z + 16*h**2*z**3 - 4*h*o**2*z**3 + 2*h*o**2 - h*o*z + 4*z**3 wrt z.
96*h**2*z - 24*h*o**2*z + 24*z
What is the first derivative of 9*v*y**2 + 17*v*y - 276*v - 1 wrt y?
18*v*y + 17*v
What is the second derivative of 2*k**2*n + 348*k**2 + 155*k*n - 2*k wrt k?
4*n + 696
Find the third derivative of 38*l**3*u**3*v - 52*l**3*v**2 + 3*l**2*u**3*v - 17*l*u*v**2 + 15*u**3*v**2 wrt l.
228*u**3*v - 312*v**2
What is the derivative of -29*b**2*c + 124*b**2 wrt c?
-29*b**2
Find the third derivative of -487*t**4 - 2*t**2 + 250.
-11688*t
What is the third derivative of -23*k**4 - 147*k**3 - k**2 - 4*k - 166 wrt k?
-552*k - 882
What is the second derivative of 13*b**3*z - 5*b**3 - 3*b*z + 3*b + 19 wrt b?
78*b*z - 30*b
Differentiate -235*j**3 - 2*j + 2800 wrt j.
-705*j**2 - 2
What is the third derivative of -5*c**3*q**3 + 3*c**3*q**2 - 4*c**3*q - 11*c**2*q - 328*c*q**4 + 1 wrt q?
-30*c**3 - 7872*c*q
What is the second derivative of -124*w**4 - 2*w**3 + 1107*w + 2 wrt w?
-1488*w**2 - 12*w
What is the third derivative of b**4 + 9*b**3 - 3*b**2 - 4*b wrt b?
24*b + 54
What is the derivative of -19*k - 183?
-19
What is the second derivative of 126*t**5 - 22*t**4 + 125*t + 27?
2520*t**3 - 264*t**2
Differentiate 2*l**3 + 334*l + 8963 with respect to l.
6*l**2 + 334
What is the first derivative of 508*o*x - 79*o wrt x?
508*o
What is the third derivative of -48*d**4 + d**3 + 10*d**2 - 4 wrt d?
-1152*d + 6
Find the second derivative of 36*j**3*k**2 + 5*j*k + 9*k**2 wrt j.
216*j*k**2
What is the second derivative of -4*c**2*j**4 - 2618*c**2*j + 3*c*j**2 + j**5 wrt j?
-48*c**2*j**2 + 6*c + 20*j**3
What is the third derivative of -376*k**5 - 9*k**2 + 9 wrt k?
-22560*k**2
Find the third derivative of 193*m**4 + m**2 + 179*m wrt m.
4632*m
What is the second derivative of -172*q**4 + q**2 + 968*q wrt q?
-2064*q**2 + 2
Differentiate 52*p*r**4*y**2 + 53*p*r*y**3 - 14*p*y**3 - 2*p*y + 2*p + 26*y**3 with respect to r.
208*p*r**3*y**2 + 53*p*y**3
Differentiate c*j*z**2 - c*j*z - 2*c*j - 2*j*z**2 + 306*j + 18*z with respect to z.
2*c*j*z - c*j - 4*j*z + 18
What is the third derivative of -i*y**6 - 80*i*y**5 - 2533*i*y**2 wrt y?
-120*i*y**3 - 4800*i*y**2
Differentiate 366*p + 393 wrt p.
366
Differentiate -1420*b**2 - 1418 with respect to b.
-2840*b
What is the second derivative of -g**5 + 185*g**3 - 12717*g wrt g?
-20*g**3 + 1110*g
Find the third derivative of -725*f**3 - 992*f**2 wrt f.
-4350
What is the third derivative of 32*h**2*p**4 + 2*h**2*p**2 - 2*h*p**3 - 2*p**4 - 173*p wrt p?
768*h**2*p - 12*h - 48*p
Find the second derivative of -14*p**5 + 54*p**4 + p - 533 wrt p.
-280*p**3 + 648*p**2
Find the first derivative of 2*m**2 - 25*m + 467 wrt m.
4*m - 25
What is the third derivative of 19*p**6 - 5*p**5 + 870*p**2 wrt p?
2280*p**3 - 300*p**2
What is the second derivative of -1696*b**2*u**5 + 683*b**2 + 2*u wrt u?
-33920*b**2*u**3
Find the second derivative of 73*q**2*x - 74*q*x + 3*x wrt q.
146*x
What is the second derivative of o**3*s - 12862*o**2*s**3 + 4*o*s**3 - o*s - 3*s**3 - 34 wrt o?
6*o*s - 25724*s**3
Find the second derivative of -2*h**5 + 101*h**2 - 351*h.
-40*h**3 + 202
What is the first derivative of -2*d*m**2 + 62*d - 3143*m wrt m?
-4*d*m - 3143
What is the second derivative of 8*b**3*v**2 + 5*b**2*v**2 - b*v**2 - b*v - 1078*v wrt b?
48*b*v**2 + 10*v**2
Find the second derivative of -3*h**2*y - 1015*h**2 - 3*h*y - 296*y wrt h.
-6*y - 2030
Differentiate -2*n**3*p**3 + 21*n**3*p - 64*n**3 + p**2*x - 8*x with respect to p.
-6*n**3*p**2 + 21*n**3 + 2*p*x
What is the first derivative of -2*h**2*t**2 - 2*h**2 - 144*h - 18*t**4 - t**2 wrt t?
-4*h**2*t - 72*t**3 - 2*t
Find the first derivative of 3*l**4 - 50*l**2 + 160.
12*l**3 - 100*l
What is the second derivative of -2*l**3*n**2*v + 440*l**3*n*v - 3*l**3*v + l**2*v - 12*l*n**2*v + l*n*v + 18*n**3 - 2*v wrt n?
-4*l**3*v - 24*l*v + 108*n
What is the second derivative of 78*j**3*k**2 + 4*j**3*k - 2*j**2*k - 115*j*k**2 + 15*j*k + 1 wrt j?
468*j*k**2 + 24*j*k - 4*k
What is the second derivative of 3304*m**2 - 3*m - 368 wrt m?
6608
What is the third derivative of -3*q**6 - 25*q**5 + 760*q**2 wrt q?
-360*q**3 - 1500*q**2
What is the third derivative of -2106*l**4 - 107*l**2 + 5 wrt l?
-50544*l
Find the second derivative of -118*f**3 + 2*f**2 + 412*f wrt f.
-708*f + 4
Find the second derivative of 4*k**2*s**3*v**2 - 39*k**2*s**3*v + k*s**3*v**2 - 67*k*s**2 - 3*s*
|
{
"pile_set_name": "DM Mathematics"
}
|
units digit of v?
7
Let l(u) = -u**3 + 2. Let n be l(0). Let m(j) = n*j - j**3 - 7*j**2 + j**3 + 3*j**2 + j**3 + 5. What is the tens digit of m(4)?
1
Suppose -q - q + 286 = 0. What is the units digit of q?
3
Let y = 35 + 0. What is the units digit of y?
5
Suppose 18 = b + 2*b. What is the units digit of b?
6
Let t be (-6 - -5)/((-1)/4). Suppose 80 + 20 = -t*i. What is the units digit of (15/i)/(1/(-5))?
3
Suppose -2*s = -5*s + 36. What is the tens digit of s?
1
Let r be (0 + 4)/(2/3). Suppose 0 = -r*l + 5*l + 5. What is the units digit of l?
5
What is the tens digit of (-2)/(-2) - -36 - (3 - 3)?
3
Suppose -2*d + 3*d = 0. Suppose -6*s + s + 45 = d. What is the units digit of s?
9
Let a be (2/6)/((-7)/(-42)). Let l be (13*2)/(1 - -1). Let t = l - a. What is the units digit of t?
1
Suppose -2*r - 3*b = 18, -2*b + 18 = -5*r - 46. Let u = r - -18. What is the units digit of u?
6
Let s(x) = -3*x + 6. Suppose 0*u + 3*u = 12. Let t be s(u). What is the units digit of 3 + t + 5*1?
2
Let t(g) = g**3 + 81. Let y be t(0). Suppose y = 2*h + h. What is the units digit of h?
7
Suppose 37 = 5*u - 8. Let q be (-334)/10 + (-8)/(-20). What is the tens digit of (0 + q)*(-3)/u?
1
Suppose 3*j = -0*k + k + 5, -3*k = -2*j - 6. Suppose -4*t - 7*b + 2*b = -61, -k*t + 60 = 4*b. What is the tens digit of t?
1
Let p(m) be the second derivative of -m**4/12 + m**3/2 + 5*m**2/2 + 2*m. Let a be p(4). Suppose -r + 3*w + a = 0, -w - 5 = -r - 2. What is the units digit of r?
4
Let c(g) = -2*g + 37. What is the tens digit of c(-6)?
4
Let c = -14 + 9. Let r be (-18)/5 + 2/c. Let j = -3 - r. What is the units digit of j?
1
Suppose -5*j + 22 = -13. What is the units digit of j?
7
Let f = -17 - -9. Let l = f - -11. What is the units digit of l?
3
Let m be (-18)/4*(-8)/6. Let r = 12 - m. What is the units digit of r?
6
Suppose 0 = -4*q + 9 + 3. Suppose -n = q*n. Suppose -4*i + 27 = -3*l + 7, -4*l - 16 = n. What is the units digit of i?
2
Let y = 195 - 96. What is the tens digit of y?
9
Let b(v) = -16*v + 9. What is the units digit of b(-5)?
9
Let z(j) = j**3 - 4*j**2 + 3*j - 6. What is the hundreds digit of z(7)?
1
Suppose 0 = -4*n + 16, 0*n - n = 4*q - 788. What is the units digit of q?
6
Let x = 367 - 143. What is the hundreds digit of x?
2
Suppose -6*j = -2*j - 192. Suppose 4*p - p = j. What is the tens digit of p?
1
Suppose 500 = 6*x + 8. What is the units digit of x?
2
Let j be (-5)/15 + (-26)/(-6). Let t(u) = u + 1. What is the units digit of t(j)?
5
Suppose u = c - 7, -1 = -u - 4*u - 4*c. Let j(s) = s**2 + s + 4. Let l be j(u). What is the units digit of (-8)/(-20) + 6/l?
1
Suppose 4*t - 128 = -4*p, -3*p + 68 = 2*t - 2*p. Let y = t - -6. What is the units digit of ((-2)/(-6))/(2/y)?
7
Suppose 21 = -m - 5*l + 5, 0 = 5*m + 5*l - 20. What is the units digit of m?
9
What is the units digit of ((-444)/18)/(2/(-3))?
7
Let v = 0 + 0. Let r be 1 + 0 - (v + 2). Let h(i) = -9*i**3 + 2*i + 1. What is the units digit of h(r)?
8
Let h be (18/12)/(2/4). Suppose y = -h*y + 56. What is the tens digit of y?
1
Let o = 4 + -6. Let h be -1 - -6 - 2/o. Suppose 4*q = -g - g + h, -18 = -3*g - 3*q. What is the units digit of g?
9
Let n(h) = 8*h - 22. What is the units digit of n(5)?
8
Suppose 2*y - 4*h = -y + 20, 5*h = 2*y - 25. Let v(j) = j**3 + j**2 + j - 17. Let d be v(y). Let k = -10 - d. What is the units digit of k?
7
Let t(p) = 3*p**2 + 8*p + 8. What is the tens digit of t(-4)?
2
Suppose 127 = -3*m + 5*v, -v + 180 = -5*m + v. Let b = 48 + m. What is the units digit of b?
4
Suppose -8*c = -3*c - 435. What is the units digit of c?
7
Suppose 0*k - 2*n - 104 = 3*k, k - 2*n + 40 = 0. Let r = -26 - k. What is the tens digit of r?
1
Suppose -5*u + 2*u - 4*v + 24 = 0, -2*u - v = -11. What is the units digit of u?
4
Suppose 2*m - 12 = -3*g, -3*m - 3*g + 10 = -5. Suppose 0 = -4*d + m*x + 9 + 10, 0 = 4*d + 5*x + 21. What is the units digit of d?
1
Suppose -f + 5*b = 4 - 34, 0 = -2*b - 10. Let u(x) = x + 7. Let w be u(-5). Suppose a - f = w. What is the units digit of a?
7
Suppose 3*n = 7*n - 56. Let h = n + -9. What is the units digit of h?
5
Let j be (-4)/1*17/2. Let g = -15 - j. What is the units digit of g?
9
Let k = -158 - -290. What is the hundreds digit of k?
1
Let g be (0 + 1)/(3/27). Suppose -2*a = -2*c - 1 + g, 0 = 2*a + 2*c - 12. What is the units digit of a?
1
Let i be 6/(-3) + (0 - -2). Suppose i = 5*b - 0*b + 10. Let d = 6 + b. What is the units digit of d?
4
Let l = 7 - 5. Suppose 3*a + 2*y + 13 = 7*y, a + l*y - 14 = 0. What is the units digit of ((-1)/(-2))/(2/a)?
1
Let p(c) = -c**2 + 4*c - 3. Let t(g) = -g**3 - g - 3. Let w be t(0). Let f be ((-1)/w)/((-2)/(-12)). What is the units digit of p(f)?
1
Let v(f) = -f**3 - f**2 + 4*f - 1. Let s be v(-3). Let j = 7 - s. What is the units digit of j?
2
Let c(n) = -2 + 0*n - 5*n + 3*n. Let w be c(-3). Suppose -w*g + 3*v = -25, -2*g = -2*v - 12 - 2. What is the units digit of g?
4
Let i = 37 - 26. Let s = 7 + i. Suppose -s = -0*w - 2*w. What is the units digit of w?
9
Suppose 3*c - 62 = -5*j, 2*c = 4*j + 3*c - 51. What is the tens digit of j?
1
Let n(t) = t**3 - t**2 - t + 5. Let o(a) = a**3 - 8*a**2 + 2. Let h be o(8). Suppose b = -h*b. What is the units digit of n(b)?
5
Let z(y) be the third derivative of -y**6/15 - y**4/12 + y**3/6 - 2*y**2. Let s be z(1). Let w = s - -10. What is the units digit of w?
1
Suppose 0*q = -5*q - 30. Let p = -2 - q. What is the units digit of p?
4
Let u(v) = -4*v - 9. Let t be u(-12). Let a = -15 + t. What is the units digit of a?
4
Suppose 4*k - 3*k - 5 = 0. Suppose 4*h - k = v - 0*v, -4*v = -5*h - 13. What is the units digit of v?
7
Let m = 39 - 21. What is the tens digit of m?
1
What is the tens digit of ((-3)/(-3))/(6/84)?
1
Let o be 3*1*1/(-3). Suppose 0 = -h + 5 - 3. Let g = h + o. What is the units digit of g?
1
Suppose 5*i - t = 408, -2*t + 5*t + 322 = 4*i. What is the tens digit of i?
8
Let b(d) be the second derivative of -1/3*d**3 + 1/2*d**2 + 2*d + 0. What is the units digit of b(-2)?
5
Let u = -2 - -4. Let m(n) = -u*n**2 - 3 + 0 - n**3 + 5. What is the units digit of m(-2)?
2
Let q = 445 + -239. What is the units digit of q?
6
Suppose -180 = 5*o - o. What is the units digit of (-350)/o + (-2)/(-9)?
8
Let l(o) = -o**3 - 4*o**2 - 3. Let m be l(-4). Let q be -3*(-10)/m*-1. Let d = -6 + q. What is the units digit of d?
4
Suppose x + 3*n + 7 = 0, 5*n - n + 1 = -3*x. Let o(v) = 2*v**2 - 7*v + 2. What is the tens digit of o(x)?
1
Suppose 4*b = 12 + 60. Let j = 30 - b. What is the tens digit of j?
1
Let z(r) = r**3 + 6*r**2 + 3. Let l be z(-6). Suppose 5*m - w = l, 0*m + 6 = -2*m - 2*w. Suppose m = y - 4 + 1. What is the units digit of y?
3
Let r(j) = 12*j + 2. Let w = 8 + -6. What is the tens digit of r(w)?
2
Let i = 299 + -188. What is the tens digit of i?
1
Let p(z) = 2 - 2*z + 5*z - 1 - 5. Let v be p(6). What is the units digit of 2/(-7) - (-102)/v?
7
Suppose 0*d + 44 = -4*d + 2*n, 2*d + 20 = 2*n. Let q be 3/d - 2/(-8). Suppose 2*z + 2 - 6 = q. What is the units digit of z?
2
Suppose 0 = x + 2*a + 41, -4*x - 2*a = -3*a + 146. Let m = x + 70. What is the units digit of m?
3
Let w = 1 + -2. Let v = 5 + w. Suppose -v*u + 36 = 8. What is the units digit of u?
7
Let k(r) = -r**3 - r**2 + r + 1. Let n(t) = 6*t**3 + 2*t**2 - 7*t - 1. Let a = -3 - -2. Let i(h) = a*n(h) - 5*k(h). What is the units digit of i(3)?
2
Let l = 6 - 8. Let y be (-2)/(108/(-53) - l). Suppose -5*x + y = -x - 3*j, -3*x + 4*j = -38. What is the units digit of x?
4
Let q = 272 - 147. What is the tens digit of q?
2
Let z be (-393)/15 + 1/5. Let x = -9 - z. What is the tens digit of x?
1
Let a be -2 - -1 - (2 + -6). Suppose -a*d + 6*d - 12 = 0. What is the units digit of d?
4
Suppose 0 = 4*r + 12, 3*l + 2*r - 3 = 3. What is the units digit of l?
4
Suppose -270 = -2*j - 3*j + 5*g, 4*g + 272 = 5*j. What is the units digit of j?
6
Suppose -3 - 3 = -3*a. What is the units digit of a?
2
Let u(b) = 6*b + 3. What is the tens digit of u(9)?
5
Suppose 3*n - 75 = 3*y, -131 = -5*n + y + 10. Let x = n + -15. What is the units digit of x?
4
Suppose -4*l + 454 = -h, h + 1 - 3 = 0. What is the hundreds digit of l?
1
Suppose -2*s + 5*p + 44 + 5 = 0, 4*s - 4*p = 104. What is the units digit of s?
7
Let y = -1 - 8. Let z(d) = -d**2 - 9*d + 2. What is the units
|
{
"pile_set_name": "DM Mathematics"
}
|
e -5*u + 0*u + 4*r = 30, 4*r - 14 = -3*u. Let o = 1 + -3. Let p = o - u. Give g(p).
-5
Let z be (-42)/54 + 7/((-189)/6). Let d(c) = 12*c. Calculate d(z).
-12
Suppose -7 - 3 = 5*g. Let n(f) = -5*f**2 + 2 - 2*f + 3*f**2 + f**2. Calculate n(g).
2
Let c = 73 + -73. Let f(r) be the third derivative of -2/3*r**3 + 0*r**5 + 1/120*r**6 + 3*r**2 + c*r + 0*r**4 + 0. Give f(0).
-4
Let o(w) = -2*w**2 - 4*w - 3. Let h = -133 - -130. What is o(h)?
-9
Let t = 47 + -44. Let n(s) be the second derivative of 0 + 0*s**2 - t*s - 1/6*s**3. What is n(2)?
-2
Let z(c) = -2*c**3 + 3*c**2 - 3*c + 2. Let m be -5 + (4*-1)/(-2). Let t be m - (-1 - 0) - -4. What is z(t)?
-8
Suppose -3*u - c + 9 = 0, 3*u - 27 = 5*c - 0. Let p = u - 0. Suppose 2*g + p = 2. Let j(f) = -6*f**3 + 2*f**2 + 2*f + 1. Calculate j(g).
7
Let k(h) = 3*h**2 - 8. Let l(m) = 5*m**2 - m - 15. Suppose 0 = -q - 0*q - 7. Let s(y) = q*k(y) + 4*l(y). Calculate s(-3).
-1
Let t(s) = -s**3 + 7*s**2 + 8*s - 3. Suppose 2*d = -6*d + 64. Determine t(d).
-3
Let g be ((-2)/(-5))/((-1)/(-5)). Let z(v) = 2*v**3 - v**2 - 2*v. Determine z(g).
8
Suppose -5*m + 16 = -19. Let l(z) = -5*z**2 - 4 + 7*z**2 - 3*z - z**3 + m*z**2 - 4*z**2. Give l(3).
5
Let f(i) = -i - 3. Let l = -8 - -11. Give f(l).
-6
Suppose n = -5*g - n + 33, 0 = -3*g + 2*n + 7. Let l(a) = -a**2 + 10*a - 2. Let x(s) = -s**2 + 11*s - 1. Let y(r) = 6*l(r) - 5*x(r). Calculate y(g).
-7
Let t(a) = -a**2 + 10*a + 4. Let i be t(10). Suppose 3*j = 2*p - 6 - 13, 0 = -i*p + 2*j + 18. Let d(r) = r**3 + r**2. Give d(p).
12
Let f(n) = 2*n**3 - 7*n**2 + n + 7. Let m(s) = s**3 - 6*s**2 + s + 6. Let d be 3 + (-1)/2*10. Let q(b) = d*f(b) + 3*m(b). Determine q(-4).
0
Let f(w) = -8*w - 15. Let x = -11 - -5. Let q(u) = -9*u - 16. Let m(z) = x*q(z) + 7*f(z). Calculate m(-6).
3
Let d(l) = -l**3 - l**2. Let p(o) = 4*o**3 - 5*o**2 + 8*o - 1. Let h(q) = 3*d(q) + p(q). Determine h(6).
-25
Suppose -o - 10 = 1. Let y = o + 15. Let l = y + -2. Let j(t) = -2*t**2 + 2*t + 1. What is j(l)?
-3
Let d(o) be the second derivative of 4*o + 1/2*o**2 + 0 - o**3. Suppose 13 = 4*n - 2*n + 3*k, 3*n + 4*k - 17 = 0. Calculate d(n).
7
Suppose 3*f - 3 + 0 = 0. Let t(i) be the second derivative of 0 - 1/6*i**3 + i + i**2. Determine t(f).
1
Let g(x) = 7*x - 5*x + 2*x - 2*x**2 - 3. Let i(k) = -2*k**2 + 10*k - 5. Let t be i(4). Give g(t).
-9
Let j be 0/(1 + (-2)/(-2)). Let y(s) = 0*s - 2*s + 1 + j*s. Suppose -4*c = 3*n - 2, -6*n + n = -5*c + 20. Calculate y(c).
-3
Let z(k) = 3 + 1 - 4 - 10*k. Suppose 0*h = -h + 1. Determine z(h).
-10
Let j(m) be the third derivative of -m**5/60 + m**4/24 - 20*m**2. Calculate j(1).
0
Suppose c = 5*b + 7, b = -3*b - 4. Suppose 0 = 5*y - c*y. Let j be 0*(1 - 2 - y). Let z(l) = -l**3 - l - 7. Determine z(j).
-7
Let k(p) = -6*p + p**2 + p**3 + 0*p**2 - 6 + 3*p**2. Let i(m) = 3*m + 7. Let r be i(6). Suppose 10*q + r = 5*q. Determine k(q).
-1
Let z(h) = 2*h**2 + 2*h - 2. Suppose 3*l = 6*l. Suppose 2*w - 3*k = 13, -4*k - 14 = -l*w - w. What is z(w)?
10
Let m(j) = 3*j**2 - j + 4. Let f(a) = 2*a**2 + 3. Let o(l) = -5*f(l) + 4*m(l). Suppose 2*t + 0 - 6 = 0. Give o(t).
7
Let c = 2 + -4. Let f(u) be the second derivative of 0 + 1/12*u**4 + 1/3*u**3 + 1/2*u**2 + 3*u. Determine f(c).
1
Let q(v) = 9*v**2 - 7*v**2 + 3*v**2 - 3*v**3 + 2*v + 4*v**3 + 2. Give q(-5).
-8
Suppose -5*t = -z + 24, -2*t + 2*z = -4*t. Let l(f) = -f**2 - 5*f. Let v be l(t). Let o(q) = -2*q**2 - 3 + v + q**2 + 3*q. What is o(-2)?
-9
Let f(l) = -13*l + 2. Let c(s) = 7*s - 1. Let y(t) = -11*c(t) - 6*f(t). Let v = -4 - -7. Suppose -2*q - 18 = -2*x, 0*q = -5*q - v*x - 5. Give y(q).
-5
Let g be 4/1 + (-4 - -2). Let s(v) = v**2 - 3*v - 1 - g + 0 + 8*v. Calculate s(-4).
-7
Let c(v) = -2*v + 4. Let f = -23 + 26. Give c(f).
-2
Let h(b) = -6*b + 7*b - b**3 - b. Determine h(1).
-1
Let z = -10 - -5. Let j(s) = s - 7. Calculate j(z).
-12
Suppose -5*d = 5*j + 15, 2*d - 12 = 3*j + 12. Let o(k) = -k**2 - 8*k - 2. Give o(j).
10
Let z(g) = -3*g**3 + g**2 + 3. Let b(d) = -8 + 13 + 2*d**2 + 2*d**3 - 9*d**3. Let x(s) = 3*b(s) - 5*z(s). Determine x(1).
-5
Let y(s) = s + 9. Suppose 0 = -3*p + 5*p. What is y(p)?
9
Suppose -20 = 3*h - 29. Let d(n) = 2*n**2 - 3*n - 3. What is d(h)?
6
Suppose 11 = -3*l + 8. Let k(n) = 4*n + 1. Calculate k(l).
-3
Let n(l) = l - 7. Let w(r) = -r**3 + r**2 + 2*r - 1. Let f be w(2). Let u be f/5 - 306/(-30). Suppose -4*b = -14 - u. Determine n(b).
-1
Let s(t) be the second derivative of t**4/12 - 4*t**2 + 4*t. Give s(0).
-8
Let k(f) = 3*f**3 - 4*f**2 - f - 5. Let v(s) = -2*s**3 + 3*s**2 + s + 4. Let p(b) = -3*k(b) - 4*v(b). Let y be ((-3)/(-2))/(24/(-32)). Give p(y).
9
Let s(m) be the second derivative of -5*m**3/3 - m**2/2 - 11*m. Determine s(-3).
29
Suppose d = 3*d, 2*s + 2*d = 0. Let y(j) = s*j - 7*j + j. Determine y(2).
-12
Let f(p) = p**2 + 2*p + 8. Let g be f(0). Let l be (-4)/(g/14)*-1. Let j(v) = -v**2 + 5*v + 9. Calculate j(l).
-5
Suppose 3 = -i, 5*n - 3*i - 4 = -0*n. Let g be 4/2 - n - 3. Let y(d) = d**3 - d**2 - d + 8. Determine y(g).
8
Let b = 4 + -1. Suppose 10 = 5*m - b*m. Let d(y) = -3*y + 7. Give d(m).
-8
Let z(n) be the second derivative of -2*n + 1/2*n**3 - 3/2*n**2 - 1/12*n**4 + 0. What is z(2)?
-1
Let t(q) = 11*q**2 - 1. Let f(z) = z**3 - 6*z**2 - 17*z + 9. Let i be f(8). What is t(i)?
10
Let p(x) = 7*x + 2. Suppose c - 5*c - 2*z = -60, 4*z = -16. Let i(r) = -20*r - 6. Let b(h) = c*p(h) + 6*i(h). What is b(-4)?
2
Let o(h) = 1 - 1 + h + 1. Let j(l) = l. Let n(p) = -2*j(p) + o(p). Determine n(3).
-2
Suppose 6 = 2*b - 4. Let c(m) = m. Let t(r) = 3*r - 24. Let z(w) = -w + 6. Let s(k) = -4*t(k) - 15*z(k). Let p(v) = 2*c(v) - s(v). Determine p(b).
-11
Suppose 0 = l + l + 2. Let b be l*(-1 + 0)/(-1). Let f(h) = 9*h**2 + 13 - 13. Determine f(b).
9
Let k be (28/(-7))/(3/(-3)). Let w(p) = -p**3 + 4*p**2 + 4*p - 2. What is w(k)?
14
Let s be 2/(-6) + 11/(-3). Let n(b) = -b - 2. Determine n(s).
2
Let c(i) be the first derivative of i**2 - 3*i + 3. What is c(6)?
9
Let v(a) = a**3 + a**2. Let j(b) = b - 9. Let x be j(12). Suppose 12 = -4*o, 7*o - x*o + 12 = -3*d. Calculate v(d).
0
Let q(h) = -h**3 - 4*h**2 - 3*h - 6. Let j be ((-2)/(-2))/((-4)/(-20)). Suppose 12 = -j*o + 4*u, 3*u + 2*u = -5*o - 30. Determine q(o).
6
Let s = 7 - 8. Let l(t) = -2*t**3 + 7*t**2 - 3*t + 1. Let w(z) = -z**3 - z**2 + z. Let y(g) = -l(g) - 5*w(g). Calculate y(s).
-8
Let j = 0 + 4. Suppose 0 = -t + 1 + 1. Let h(a) = -3 + 6*a**2 + j - t*a + 3*a. Calculate h(-1).
6
Let m(b) be the third derivative of b**4/24 + 5*b**3/3 + 2*b**2. Let w be m(-7). Let t = w - 6. Let s(z) = -z**2 - 7*z - 4. Determine s(t).
8
Let s(x) be the second derivative of -x + 1/6*x**4 + 3/2*x**2 + 0 + 1/2*x**3. Suppose 2*v + 7 = -y, 5 = v + 4*v - 5*y. Give s(v).
5
Let d(i) = -2*i + 1. Let g(x) = -x + 1. Let v(s) = -2*d(s) + 5*g(s). Calculate v(3).
0
Suppose -2*i - 7 = -4*l + 15, -l - 5*i = 22. Let u(t) = -t - 2 - 5*t + 7*t. Determine u(l).
1
Let k(p) = 2*p + 7. Let s be k(-6). Let v(c) = c**3 + 4*c**2 - 2*c - 2. Calculate v(s).
-17
Suppose 0 = 4*m - 9*m + 10. Let j(s) = -4*s + 5 - s**2 - m*s - 8. Let u be j(-6). Let c(g) = -2*g**2 - 3*g + 3. Determine c(u).
-6
Suppose 3*d + o + 1 = 0, 3*d - o = -d + 1. Let r(l) be the second derivative of -l**4/12 + l**2/2 + l. Give r(d).
1
Suppose 4*d = -7 - 5, 2*d = j - 1. Let h(i) = -i**2 - 5*i - 6. Give h(j).
-6
Let i(g) = g**3 - 5*g**2 + g - 3. Let j be (10/8)/((-2)/(-8)). Let k be i(j). Let n(y) = -2*y**2 + 4*y - 2. Determine n(k).
-2
Let z(k) = 2*k**3 - k**2 + 7*k + 5. Let h(t) = -t**3 + t**2 - 3*t - 2. Let q(w) = -5*h(w) - 2*z(w). Give q(2).
-2
Let t(q) = 0*q**2 - q**2 + 0*q**2 - 2*q + q. Let f(o) = -o**3 - o**2 - o. Let p(v) = 4*f(v) - 4*t(v). Give p(1).
-4
Let k(a) = -3*a**2 + 3*a**2 + 3*a + a**3 - 5*a**2 + 3*a**2. What is k(2)?
6
Let z be (2/(-6))/((-3)/9). Let i(r) = -4*r - 3*r**2 + 5*r**2 + 0*r**2. Let g(d) = -5*d**2 + 11*d. Let p(j) = -3*g(j) - 8*i(j). Determine p(z).
-2
Let f(x) = x. Let m = 12 - 8. Let r be f(m). Let k(b) = 2 - 5*b + r - 3 + b**2. Calculate k(4).
-1
Let y(r) = -8*r**2 - r + 4. Let k(c) = -c**2. Let s(x) = 6*k(x) - y(x). Let w be (-4)/(-14) + 2/(56/76). Calculate s(w).
17
Let p be (-8)/40 + (-1)/(-5). Let u(m) = m**2 + 1. Let d be u(p). Let y be d/4 + 15/4. Let n(z) = -z - 4. Give n(y).
-8
Let t(u) be
|
{
"pile_set_name": "DM Mathematics"
}
|
lculate 3714 divided by 3001.
3714/3001
Divide -5 by 15622895.
-1/3124579
Calculate -1348376 divided by 337094.
-4
Divide -112009 by 1045.
-112009/1045
What is -51431946 divided by -619662?
83
-274300575 divided by 5
-54860115
101642065 divided by 20328413
5
Calculate -209169 divided by 227.
-209169/227
Calculate -30 divided by 360257.
-30/360257
Calculate 970030 divided by 58.
485015/29
Calculate -16523940 divided by -8261970.
2
Divide 97074734 by -213821.
-454
Divide -4 by -22016173.
4/22016173
Calculate 748163 divided by 233.
3211
What is 10 divided by -66078210?
-1/6607821
-8309056 divided by 28
-296752
Divide 593061 by -45.
-197687/15
-34477910 divided by 10
-3447791
Divide 132978294 by -54.
-2462561
10070093 divided by -2101
-4793
What is -16 divided by 2614570?
-8/1307285
Calculate 6819 divided by -2911.
-6819/2911
What is -13772703 divided by -1211?
11373
-8188 divided by -5
8188/5
What is -96151860 divided by -5?
19230372
Divide 95052600 by -4.
-23763150
Divide -584 by -160.
73/20
Calculate 133583 divided by 378.
133583/378
Divide 5023620 by 1674540.
3
Divide -80765542 by 282397.
-286
Calculate -2385281 divided by 76.
-2385281/76
What is 32 divided by -4703175?
-32/4703175
What is 2095612 divided by 4?
523903
Calculate -621102743 divided by 1.
-621102743
37600308 divided by 272466
138
-1426169 divided by -35
1426169/35
239568 divided by 178
119784/89
Calculate -55475085 divided by 5.
-11095017
Calculate 5 divided by -9501605.
-1/1900321
What is -3529908 divided by -279?
12652
What is -1833 divided by -5309?
1833/5309
Divide 221908393 by -1679.
-132167
What is 189641839 divided by -3?
-189641839/3
What is 1186842432 divided by 2?
593421216
Calculate 8387940 divided by 7876.
1065
Calculate -1130922 divided by -353.
1130922/353
What is -537157720 divided by -443932?
1210
Calculate 793850 divided by 31754.
25
Calculate 2 divided by -25022632.
-1/12511316
Divide 4294298 by -4.
-2147149/2
Divide -120 by -1861998.
20/310333
Calculate -69142710 divided by 14105.
-4902
-10576440 divided by 72
-146895
Divide 46037395 by -46037395.
-1
What is -2 divided by 101267122?
-1/50633561
Calculate 20602352 divided by 10301176.
2
Divide -2 by -68098035.
2/68098035
Calculate 3074440 divided by -40.
-76861
-111736560 divided by 7080
-15782
48769215 divided by 295571
165
Divide -88814809 by -191.
464999
Divide -59561080 by 5.
-11912216
-2554986 divided by -762
3353
Divide -508352256 by 122112.
-4163
Divide -5 by 1069534.
-5/1069534
Calculate -3262 divided by 651.
-466/93
Calculate 3668720 divided by 9680.
379
Calculate 1477723609 divided by -4.
-1477723609/4
-3 divided by 5481726
-1/1827242
Divide 756785424 by 47299089.
16
What is 48296606 divided by 3?
48296606/3
Divide 18273663 by -2.
-18273663/2
Calculate 76681781 divided by 187.
410063
Calculate 651 divided by 79.
651/79
Calculate -1940796 divided by 74646.
-26
-266230 divided by 1147
-266230/1147
Divide -191365480 by -970.
197284
What is -143308638 divided by -15923182?
9
-133902160 divided by 28
-4782220
Calculate -554472522 divided by 438.
-1265919
10165497 divided by 3
3388499
What is 168 divided by -67022?
-84/33511
18387864 divided by -6129288
-3
What is 9 divided by 595189?
9/595189
Calculate -39776461 divided by 1.
-39776461
What is 52844759 divided by -869?
-60811
Calculate -8009827 divided by 18.
-8009827/18
What is -8144 divided by 2519?
-8144/2519
What is 2 divided by -5437895?
-2/5437895
What is -110238 divided by -25?
110238/25
Divide -2250 by 59706.
-125/3317
-1907 divided by 4717
-1907/4717
Calculate -1 divided by -429696.
1/429696
Divide -1 by -8939304.
1/8939304
Calculate -60809 divided by 120.
-60809/120
Divide -792468 by -22013.
36
Calculate 2 divided by -816177.
-2/816177
What is 94915 divided by -99?
-94915/99
173181 divided by 1
173181
Divide -25024360 by 12512180.
-2
Divide 77189270 by 2.
38594635
145720020 divided by -4
-36430005
Calculate 0 divided by 210139.
0
Divide 226871238 by 10312329.
22
68585 divided by 1447
68585/1447
Calculate 129180373 divided by -2.
-129180373/2
Calculate -434474 divided by -34.
217237/17
What is 938600 divided by -5?
-187720
Divide -26706816 by 8902272.
-3
-108317902 divided by 46
-2354737
Divide 14912292 by 318.
46894
What is -6553 divided by -30506?
6553/30506
What is 40498 divided by 48?
20249/24
Calculate 0 divided by 10116022.
0
Divide 3 by 544918.
3/544918
Calculate 401566 divided by -141.
-401566/141
Calculate 76 divided by 144157.
76/144157
Divide -12832 by -9535.
12832/9535
What is -3 divided by 1368979?
-3/1368979
1044444086 divided by -41
-25474246
What is -48 divided by -144146?
24/72073
Calculate -58452656 divided by 4.
-14613164
Calculate -16669422 divided by -168378.
99
What is 869379096 divided by -284?
-3061194
Calculate -13 divided by -7747911.
13/7747911
Calculate 21746775 divided by 289957.
75
685 divided by -3933
-685/3933
0 divided by -1620747
0
What is 140 divided by 121675?
28/24335
-381000390 divided by -76200078
5
5 divided by 11237191
5/11237191
What is 5 divided by -83229049?
-5/83229049
-200151422 divided by -82
2440871
What is -8141440 divided by 4?
-2035360
2 divided by -34313277
-2/34313277
Divide 657797972 by -2041.
-322292
Divide 166925450 by 2755.
60590
-24746810 divided by -20185
1226
Calculate -26273 divided by -399.
26273/399
Divide 10293800 by -411752.
-25
473824 divided by -15
-473824/15
Divide -89546845 by 2.
-89546845/2
Divide -9751 by 52.
-9751/52
228 divided by 35380
57/8845
-5300130 divided by -240915
22
Calculate 36041 divided by -1046.
-36041/1046
Calculate 218 divided by 265911.
218/265911
528 divided by -1172471
-528/1172471
Calculate 6626202 divided by 726.
9127
-6156999 divided by 6156999
-1
-90108 divided by 58
-45054/29
Calculate 87040 divided by -5440.
-16
Divide 49 by 85387.
49/85387
Calculate -21255564 divided by -66.
322054
Divide -2725536 by 681384.
-4
Divide 68130062 by 2002.
34031
What is -924768 divided by 4?
-231192
3751300 divided by -1
-3751300
Calculate -2270765 divided by 17.
-2270765/17
Divide -10983336 by -1.
10983336
Calculate 2 divided by -1823206.
-1/911603
What is 281707 divided by -25?
-281707/25
Divide -88 by -372930.
44/186465
Calculate 16645 divided by 23747.
16645/23747
-180572595 divided by 5
-36114519
Calculate -61627797 divided by 5602527.
-11
What is -1733248 divided by 8?
-216656
-250648695 divided by -83549565
3
What is 4484828 divided by -1?
-4484828
What is 569616 divided by 55?
569616/55
-63069664 divided by -6496
9709
What is -39254242 divided by -19627121?
2
210887040 divided by 640
329511
84917200 divided by 40
2122930
Divide 124 by -114888.
-31/28722
Calculate -205 divided by -45200.
41/9040
Calculate 172764302 divided by -86382151.
-2
-115680696 divided by 3368
-34347
Divide 15332058 by 46602.
329
Divide 3115584 by 2404.
1296
Calculate -401560680 divided by 232.
-1730865
Divide 1573 by 402498.
1573/402498
Divide 1 by 146741757.
1/146741757
-57 divided by -75157
57/75157
Calculate 54664359 divided by -53.
-1031403
Calculate 435937755 divided by -52491.
-8305
Divide -404468 by -184.
101117/46
What is -8227320 divided by 4113660?
-2
13909448 divided by 3477362
4
-130760 divided by -21
18680/3
Divide 12528470 by -2505694.
-5
Calculate -89016691 divided by 3947.
-22553
Divide -1070841384 by 1652533.
-648
Calculate 795285463 divided by -3.
-795285463/3
What is -2432032 divided by -52?
608008/13
448634263 divided by -2067439
-217
318816 divided by -11
-318816/11
14543634 divided by 1
14543634
Divide 11818 by 3515.
622/185
-26402730 divided by -5
5280546
Calculate -214854 divided by 127.
-214854/127
Calculate 22871568 divided by 92.
248604
Divide 11245644 by 274284.
41
-40302 divided by -81
4478/9
25459 divided by 2912
3637/416
-3443097704 divided by -2
1721548852
Divide -40617 by 731.
-40617/731
-3 divided by -24971696
3/24971696
What is 89631290 divided by -98?
-914605
Calculate 1 divided by 148134768.
1/148134768
What is 17582642 divided by 19778?
889
Calculate -1688907 divided by -153537.
11
What is 44 divided by -3985788?
-11/996447
Calculate -24742752 divided by -727728.
34
Divide 69298413 by 4.
69298413/4
Calculate 30622122 divided by -1.
-30622122
What is 542068306 divided by -167?
-3245918
What is -3 divided by -60749108?
3/60749108
Calculate -8959860 div
|
{
"pile_set_name": "DM Mathematics"
}
|
the first derivative of 635*m**3 + 6465?
1905*m**2
Find the second derivative of 17*a**2*b*v**2 + 14*a**2*b*v - 2*a**2*h**2 - a*b**2 - a*h**2*v**2 - b**2*v**2 - 2*b*v wrt v.
34*a**2*b - 2*a*h**2 - 2*b**2
Find the third derivative of -1809*b**3*l + b**2 + 179*b*l wrt b.
-10854*l
What is the derivative of 591*c**4 - 417?
2364*c**3
Find the second derivative of -197*d**3 - 3*d**2 + 1671*d wrt d.
-1182*d - 6
Find the third derivative of -338*q**5 + 467*q**2 wrt q.
-20280*q**2
Find the second derivative of -251*b**2*f*x + b**2*f - b**2*q + b*f*q - 10*b + 3*f*x + 7*q wrt b.
-502*f*x + 2*f - 2*q
Find the third derivative of -211*x**6 - 84*x**2 - x.
-25320*x**3
Differentiate -36*o*u*x**2 - 741*o*x**2 - 10*u*x**2 - u*x - u with respect to u.
-36*o*x**2 - 10*x**2 - x - 1
Find the second derivative of -p**4*q**3 - 2384*p**3*q**3 + 2*p*q**3 + 641*p*q + q**3 wrt p.
-12*p**2*q**3 - 14304*p*q**3
Differentiate 4762*m**3*v + 3199*m**3 with respect to v.
4762*m**3
Find the second derivative of -2224*j**2 + 1922*j.
-4448
What is the first derivative of -56*p**4 - p**3 - 466 wrt p?
-224*p**3 - 3*p**2
What is the third derivative of 30*d**5 + 32*d**2 + 2*d wrt d?
1800*d**2
What is the third derivative of -4*a**2*l**3*s + 2*a**2*l**2*p*s + 2*a*l**3*s**2 + a*l*s**2 + 50*l**3*p + 23*l**2 + p wrt l?
-24*a**2*s + 12*a*s**2 + 300*p
What is the third derivative of -14955*f**3 - 621*f**2 - 2*f wrt f?
-89730
Differentiate 3*g*l**2*m**2 + 3*g*m**2 + 68*g + 28*l**2 + 2*m**2 wrt l.
6*g*l*m**2 + 56*l
What is the third derivative of 2*b**2*w**3 - 16*b**2*z**3 + b*w**2*z**2 - 17*w**3*z**3 + 56*w**3 wrt z?
-96*b**2 - 102*w**3
Differentiate 5931*s - 7566 wrt s.
5931
What is the first derivative of 41*l**3*m - 318*l**3 - l**2*m - l**2 - 16*l*m + 2*l wrt m?
41*l**3 - l**2 - 16*l
Find the third derivative of 6*y**6 - 353*y**4 + 50*y**2 - 114*y.
720*y**3 - 8472*y
Differentiate -2*h**2*q**3 - 4797*h**2 + 3563*q**4 wrt q.
-6*h**2*q**2 + 14252*q**3
Differentiate 2*z**3 + 5632*z**2 + 4577 with respect to z.
6*z**2 + 11264*z
Find the second derivative of -15*w**5 + 8*w**4*y**3 + 14*w*y**3 - 2*y**3 wrt w.
-300*w**3 + 96*w**2*y**3
Differentiate -198*f*x**2 - 2*f*x + 424*f wrt x.
-396*f*x - 2*f
Find the first derivative of -42*b**4 - b**2 - 153.
-168*b**3 - 2*b
Find the second derivative of -h**3*o*s**2 - h**2*o*s**3 - 8*h**2*o + 6*h*o + 8*h*s**3 - o*s**3 wrt h.
-6*h*o*s**2 - 2*o*s**3 - 16*o
Find the second derivative of -j**2*n**2 + 4*j**2 - 171*j*n**2 - 8*n**2 - 21*n - 2 wrt n.
-2*j**2 - 342*j - 16
What is the third derivative of 495*w**4 + w**2 + 488*w?
11880*w
What is the third derivative of -1822*b*l**3 - 371*b - 3*l**2 wrt l?
-10932*b
Differentiate -u**2*x*y - 2*u*x*y - u*x + 100*u*y - 2*x*y - 4*x + 3*y + 6 wrt u.
-2*u*x*y - 2*x*y - x + 100*y
Find the third derivative of 1155*y**5 - 2000*y**2 wrt y.
69300*y**2
What is the first derivative of -b**4 + 24*b**2*d**3 - 2*b**2*d*n + 41*d**3*n wrt b?
-4*b**3 + 48*b*d**3 - 4*b*d*n
Find the second derivative of -3*k**4*o*x**3 - 528*k**2*o**2*x - 2*k*o**2*x**3 + 18*k*o + o**2 wrt k.
-36*k**2*o*x**3 - 1056*o**2*x
Find the third derivative of -58*z**5 - z**4 + 121*z**2 + 2*z.
-3480*z**2 - 24*z
Find the third derivative of 1392*o**3 + 874*o**2 wrt o.
8352
Find the first derivative of 129*r**2 - 222.
258*r
What is the third derivative of -4*s**3*w**3 + 4*s**3*w**2 - 58*s**3 + 2*s**2*w**3 + 2*s*w**2 + 87*w**3 wrt s?
-24*w**3 + 24*w**2 - 348
What is the first derivative of -5*j**2 + 13*j + 2444 wrt j?
-10*j + 13
What is the second derivative of -4*f*g**2 - f*g*y - 20*f*g + 2*f*y - 279*g**5*y - g**3*y wrt g?
-8*f - 5580*g**3*y - 6*g*y
What is the second derivative of -a**2*g**3 - 21*a**2*g**2*z + 3*a**2*g*z + 8*a**2*g - a**2*z - 2*a*g + 6*g**3 wrt g?
-6*a**2*g - 42*a**2*z + 36*g
What is the third derivative of -1147*v**3 + 57*v**2 + 3*v wrt v?
-6882
What is the second derivative of 139*c**5 - 108*c wrt c?
2780*c**3
What is the second derivative of -f**5 + f**3 + 576*f wrt f?
-20*f**3 + 6*f
What is the second derivative of 11067*g**5 - 2*g - 2598 wrt g?
221340*g**3
What is the derivative of -99*c**4*h - 44*h wrt c?
-396*c**3*h
Differentiate 17398*w**4 + 9770 wrt w.
69592*w**3
Find the second derivative of 58*m**5 + 2*m**2 + 634*m wrt m.
1160*m**3 + 4
Differentiate -33*i**2*s**3 - 153*i**2 wrt s.
-99*i**2*s**2
Find the third derivative of -12*a**3*p*t**3 + 7*a**3*p*t**2 + 20*a*p*t**3 - 300*p*t**2 wrt t.
-72*a**3*p + 120*a*p
What is the first derivative of 565*y + 758?
565
What is the second derivative of -134*b**2 + 238*b + 1?
-268
What is the second derivative of -73*m**2 - 181*m wrt m?
-146
Find the first derivative of 37*u + 5506 wrt u.
37
Find the second derivative of 244*h**2 - 137*h wrt h.
488
Find the third derivative of -639*o**5 - o**3 + 724*o**2.
-38340*o**2 - 6
What is the first derivative of -221*m**2*z**2 - 23*z**2 + 1 wrt m?
-442*m*z**2
What is the third derivative of -92*l**3 + 168*l**2 wrt l?
-552
Find the third derivative of 1098*j**3*v**3 - 42*j**2*v**3 - 5*j**2*v**2 wrt j.
6588*v**3
What is the first derivative of 1729*i*j**2 + 4*i*j*o**2 - 204*j**2*o**2 - 2*j**2*o - 2*j**2 + o wrt i?
1729*j**2 + 4*j*o**2
Differentiate i*j*o**3 - 5*i*j*o**2 + 4*i*j - 6*i*o**3 - 3 wrt j.
i*o**3 - 5*i*o**2 + 4*i
What is the second derivative of 29*p*w**2*y + p*w*y**2 + p + 2*w**2*y**2 + w**2 + 2*w*y**2 - 7*y**2 wrt w?
58*p*y + 4*y**2 + 2
What is the third derivative of 686*v**5 + 2*v**3 - 1613*v**2 wrt v?
41160*v**2 + 12
What is the third derivative of 62*a**5*y + 2*a**4*y**3 + a**2*y**2 + 14*a*y**3 + 1 wrt a?
3720*a**2*y + 48*a*y**3
Find the third derivative of -2269*f**3 - f**2 - 48*f + 7.
-13614
Find the second derivative of -122*o**2 + 19*o - 2 wrt o.
-244
What is the third derivative of 200*b**4 + 90*b**2 + 2*b?
4800*b
What is the third derivative of -5*a*d**3*p - 3*a*d**2*p + 3*a*d**2 + a*i - d**4*i - 206*d**4*p - 14*d**2*i*p + i*p wrt d?
-30*a*p - 24*d*i - 4944*d*p
Find the second derivative of -b**3*x**2 - 11*b**3 + 83*b**2*x**2 + 26*b*x**2 - b*x - 3 wrt b.
-6*b*x**2 - 66*b + 166*x**2
What is the first derivative of 888*s - 499 wrt s?
888
Find the second derivative of 285*p**5 - 742*p.
5700*p**3
What is the first derivative of -2*t**2 - 64*t - 538?
-4*t - 64
What is the third derivative of 13*h*m**3 - 2*h*m**2*n*p**3 - 2*h*m*n*p - 2*h*n - 4*m**3*n*p - m**3*p**3 - m**2*n*p - 5*m*p**3 wrt m?
78*h - 24*n*p - 6*p**3
What is the third derivative of 96*d**4 - 276*d**2 wrt d?
2304*d
Find the second derivative of 8*i**3*n**2*p + 2*i**3*n*p**2 - 2*i**3*p - 14*i**2*p**2 + 4*i*n**2*p - 2*n**2*p**2 - 3*p wrt p.
4*i**3*n - 28*i**2 - 4*n**2
Find the second derivative of 45*v**4 + v**2 - 156*v.
540*v**2 + 2
Differentiate -2*m**4 - 106*m**3*v - 371*v wrt m.
-8*m**3 - 318*m**2*v
What is the third derivative of 2040*l**3*x**2 + 5*l**2*x - 27*l*x**2 + 6*x**2 wrt l?
12240*x**2
Find the third derivative of 9*z**5 - 32*z**4 + 266*z**2.
540*z**2 - 768*z
What is the first derivative of 14*c**2*m*u**2 + 2*c**2*m*u + c*m*u + 3*m*u**2 - 9*m*u wrt c?
28*c*m*u**2 + 4*c*m*u + m*u
What is the second derivative of 432*k**4 + 29*k - 15 wrt k?
5184*k**2
Find the third derivative of 12*c**3*d - 113*c**3*q**2 + 2*c**2*d*q**2 + 2062*c**2*q + d*q wrt c.
72*d - 678*q**2
Differentiate 32*m*q*r**3*s + 3*m*q*r*s + 5*m*q*s + 22*m*r**3*s - 18*m*s with respect to q.
32*m*r**3*s + 3*m*r*s + 5*m*s
What is the second derivative of 82*m**3 + 2*m**2 - 19*m - 7 wrt m?
492*m + 4
What is the third derivative of -a**4*s + 8952*a**3*s + 5*a**2*s - a**2 + 376*a*s - a wrt a?
-24*a*s + 53712*s
What is the derivative of 1021*q**4 + 2126 wrt q?
4084*q**3
Find the second derivative of 4609*d**3*t**2 - 2*d**3 + d**2*t - d*t**2 - 753*d + t**2 wrt d.
27654*d*t**2 - 12*d + 2*t
Differentiate -g**3*p*u + g**3*p + g**3*u - 1263*g**2*p + g*p - 3*g*u + 312*u wrt p.
-g**3*u + g**3 - 1263*g**2 + g
What is the third derivative of 9380*d**5 + 847*d**2 wrt d?
562800*d**2
What is the third derivative of o**4 - 174*o**3 - 449*o**2 + o + 1 wrt o?
24*o - 1044
Find the third derivative of 37*s**4 - 32*s**3 + 286*s**2 wrt s.
888*s - 192
What is the first derivative of 3*f**3*o**2*z - 183*f**2*z + o**2*z + 115*o**2 - 3 wrt f?
9*f**2*o**2*z - 366*f*z
What is the second derivative of -11*b**2*o + 2*b**2 - 2*b*o + 118*b wrt
|
{
"pile_set_name": "DM Mathematics"
}
|
22
Solve -1911 + 964 = -187*z + 5598 for z.
35
Solve -626*k + 0 + 14 = -612*k for k.
1
Solve 201*u + 24 = 99*u + 108*u for u.
4
Solve -160*u - 30 = -170*u for u.
3
Solve 366*c - 110 = -249 - 227 for c.
-1
Solve -20*c - 154*c - 2780 = 104*c for c.
-10
Solve -9*n - 52 = -18*n - 17*n for n.
2
Solve 0 = -118*t + 315*t for t.
0
Solve -602*u = -12941 + 1506 + 1803 for u.
16
Solve 0 = 42*o - 50 + 69 + 275 for o.
-7
Solve 3896 = -599*g + 2279 - 2576 for g.
-7
Solve -11308 = 20*d - 10908 for d.
-20
Solve 0 = 62*w + 6*w - 1773 + 5 for w.
26
Solve -14 = -313*m + 320*m for m.
-2
Solve 2156*x - 2284*x + 516 = 3204 for x.
-21
Solve 647 + 446 = -131*y - 86 for y.
-9
Solve 41*k + 6246 = -41*k - 265*k for k.
-18
Solve 51*s - 555 = 64 + 248 for s.
17
Solve -62*d + 49*d - 2394 = 101*d for d.
-21
Solve -25*a - 103 - 52 = 6*a for a.
-5
Solve 29*s + 0*s + 116 = -0*s for s.
-4
Solve -1364 - 5362 = 354*g for g.
-19
Solve 60048 = -32*g + 59696 for g.
-11
Solve -2225 = 6*l - 2141 for l.
-14
Solve -48*v - 391 + 195 - 380 = 0 for v.
-12
Solve 0 = -57*m + 596 - 197 for m.
7
Solve 72*a - 55*a + 68 = 0 for a.
-4
Solve 899*j - 417*j = 5302 for j.
11
Solve -162*s = -116*s + 221*s + 2136 for s.
-8
Solve -185*m - 523 = -70*m + 3502 for m.
-35
Solve 2*q + 167 = 145 for q.
-11
Solve 312*n = 463*n + 1510 for n.
-10
Solve 2411 = -66*o + 1289 for o.
-17
Solve 408 = -147*i - 327 for i.
-5
Solve -11*u + 5025 = 4783 for u.
22
Solve -79*o + 6607 = 5659 for o.
12
Solve 14*v + 234 = 7*v - 19*v for v.
-9
Solve -22*n + 40*n - 17 + 125 = 0 for n.
-6
Solve 418*q + 1942 + 148 = 0 for q.
-5
Solve 111*q - 216*q = -112*q - 14 for q.
-2
Solve 82*d + 1254 = 16*d for d.
-19
Solve 714*q = -139*q + 3412 for q.
4
Solve 0 = 22*o - 94*o - 97*o - 507 for o.
-3
Solve -26*n - 546 = -40*n - 64*n for n.
7
Solve -1818 = 29*q + 173*q for q.
-9
Solve 142*f + 184*f = -978 for f.
-3
Solve -97*j = 237*j + 29*j - 3630 for j.
10
Solve -80*a = -269 - 131 for a.
5
Solve 0 = 35*b - 2628 + 3153 for b.
-15
Solve -514*y - 521*y - 10095 - 14745 = 0 for y.
-24
Solve 300*v = 540 + 5460 for v.
20
Solve -23852 + 23918 = -3*i for i.
-22
Solve 82*t + 2727 = -158*t - 633 for t.
-14
Solve 201*x = 570*x + 2583 for x.
-7
Solve -78*g - 187*g = -47*g + 3052 for g.
-14
Solve 617 - 732 = 163*l + 3471 for l.
-22
Solve 11*z + 62 = 10*z - 30*z for z.
-2
Solve 98*f - 4742 = -3370 for f.
14
Solve 34*c - 428 = -c + 62 for c.
14
Solve -8*a - 61 - 157 + 50 = 0 for a.
-21
Solve 222*l + 8650 = -124*l for l.
-25
Solve 148 = 156*c + 94 - 258 for c.
2
Solve -372*y + 72*y + 1800 = 0 for y.
6
Solve 459 = 86*n - 153*n + 94*n for n.
17
Solve 98*n - 2177 = -2863 for n.
-7
Solve -486 - 170 = -78*d + 358 for d.
13
Solve -2442 = -116*c + 922 for c.
29
Solve 49*y = 37*y + 54*y + 756 for y.
-18
Solve 11*i + 83 + 73 = 63*i for i.
3
Solve 0 = 1322*y - 4896 + 930 for y.
3
Solve -2415 = 78*m - 193*m for m.
21
Solve 70*s - 60342 = -62162 for s.
-26
Solve 0 = 36*c - 88*c - 1495 + 299 for c.
-23
Solve -159*h - 169 - 739 = -113 for h.
-5
Solve -13880 + 13200 = -85*p for p.
8
Solve 16*u - 1805 = -1741 for u.
4
Solve -245*a - 284*a + 2209 - 11731 = 0 for a.
-18
Solve -20 = -37*u + 11*u + 24*u for u.
10
Solve -3496*x - 257 - 348 = -3441*x for x.
-11
Solve -620*m - 271*m = -233*m - 3290 for m.
5
Solve -353*d = -309*d - 88 for d.
2
Solve 307*r - 11660 = -3064 for r.
28
Solve 236*q + 386 = 204*q + 66 for q.
-10
Solve 609*z = -17*z - 4733 - 901 for z.
-9
Solve -1424 = -7*y - 1354 for y.
10
Solve 1304*j + 95 = 1309*j for j.
19
Solve -10 - 135 = -145*d for d.
1
Solve 29*h = -79 + 32 - 98 for h.
-5
Solve -663*y = 1361 - 9980 for y.
13
Solve -127*s - 310*s - 1426 - 13432 = 0 for s.
-34
Solve -2103 - 2923 = 359*r for r.
-14
Solve -418 = 43*o + 313 for o.
-17
Solve 1112*c - 1084*c - 361 = 31 for c.
14
Solve 214*b - 462 = -205*b + 397*b for b.
21
Solve 491*g + 2504 = -135*g for g.
-4
Solve 0 = 114*z + 22*z - 496 + 88 for z.
3
Solve -1498*q + 1432*q = -132 for q.
2
Solve 11*d + 7265 = 7507 for d.
22
Solve 339 = 681*i - 708*i + 42 for i.
-11
Solve 200*i + 5467 = 867 for i.
-23
Solve -12*g - 1 - 82 = 73 for g.
-13
Solve 0 = 56*p - 144*p - 103 + 1247 for p.
13
Solve 1614*j = 1565*j - 833 for j.
-17
Solve 77*f + 94 = -148*f - 131 for f.
-1
Solve -5 - 54 = -8*f + 21 for f.
10
Solve 0 = 76*h + 2866 - 3094 for h.
3
Solve 1398 = 172*g + 538 for g.
5
Solve 0 = -836*u + 823*u - 182 for u.
-14
Solve k = 10*k - 92*k - 830 for k.
-10
Solve 0 = 227*t - 163*t + 118 + 10 for t.
-2
Solve 2875 = 97*v + 1614 for v.
13
Solve -3694*b + 3613*b = -729 for b.
9
Solve 0 = -916*i + 17583 + 18141 for i.
39
Solve 561 = 57*l - 478 + 298 for l.
13
Solve 61*t + 99 = 2*t - 845 for t.
-16
Solve -1024*h = -1104*h - 400 for h.
-5
Solve -50*d = -55*d - 78*d - 664 for d.
-8
Solve -1193*p + 1197*p + 20 = 0 for p.
-5
Solve -16*r + 2345 = -83*r for r.
-35
Solve -81*x - 98 = -8*x - 24*x for x.
-2
Solve 95*a + 70 = -81 + 56 for a.
-1
Solve -827*b = -925*b + 2646 for b.
27
Solve -111*l - 128 = -214*l + 119*l for l.
-8
Solve -24*j = 11*j + 9*j + 23*j for j.
0
Solve -401*n - 527*n - 7891 = -321*n for n.
-13
Solve -137*s + 120 = 129*s - 260*s for s.
20
Solve -167*p = -439*p + 237 - 781 for p.
-2
Solve -1182 - 448 = -163*c for c.
10
Solve 4*d - 887 + 919 = 0 for d.
-8
Solve -2*w - 1061 = 22*w - 1277 for w.
9
Solve -72*w - 191*w - 2322 = -5*w for w.
-9
Solve -1211 = 35*a - 2121 for a.
26
Solve 190 + 88 = -106*f - 252 for f.
-5
Solve -82*i - 72 = 54*i + 64 for i.
-1
Solve -429*r + 445*r = 96 + 48 for r.
9
Solve -22722 = -1033*l + 4136 for l.
26
Solve 10*f + 0*f - 10 = -20 for f.
-1
Solve 4*d - 14*d - 440 = 12*d for d.
-20
Solve -65*x + 118 = -38 + 26 for x.
2
Solve 3 = 7*h + 10 for h.
-1
Solve 323 = -40*o + 243 for o.
-2
Solve 17*g - 29*g + 33*g - 378 = 0 for g.
18
Solve 10*g - 61 = 70 - 31 for g.
10
Solve 2233*q - 2593*q - 720 = 0 for q.
-2
Solve 204*z + 5847 = -121*z - 3903 for z.
-30
Solve 949 = -28*q + 1634 - 993 for q.
-11
Solve 7*p - 37*p - 39 = -17*p for p.
-3
Solve 60*y - 1144 + 1026 - 1622 = 0 for y.
29
Solve 77*l = 21*l - 108*l + 1804 for l.
11
Solve 144*m + 2427 = -2181 for m.
-32
Solve -1098*p - 1893 - 3597 = 0 for p.
-5
Solve -12*f - 1601 = -1697 for f.
8
Solve -93*b - 5 = -50*b + 425 for b.
-10
Solve 0 = 341*v - 330*v - 66 for v.
6
Solve -32*j - 145 - 355 = -82*j for j.
10
Solve -k = 20741 - 20740 for k.
-1
Solve -19*r + 9 + 15 = -90 for r.
6
Solve 0 = -247*v + 503*v - 226*v - 210 for v.
7
Solve -96*g - 12 = -92*g for g.
-3
Solve 3*i + 3*i = 105 - 117 for i.
-2
Solve 43*p - 4 = 63*p + 96 for p.
-5
Solve 33*j - 78*j + 105*j = 720 for j.
12
Solve -479*i = -472*i - 7 for i.
1
Solve 759 = 97*a + 1244 for a.
-5
Solve 8*f - 77315 + 77115 = 0 for f.
25
Solve 0 = -12952*y + 12960*y - 56 for y.
7
Solve -58*p - 329 = 19 for p.
-6
Solve 30*i - 1998 = -2568 for i.
-19
Solve -342*g + 399*g = -61 - 53 for g.
-2
Solve 24*r = 4*r - 28*r - 624 for r.
-13
Solve -58*w - 19587 = -20689 for w.
19
Solve -63*t - 59*t + 33*t + 712 = 0 for t.
8
Solve 28*u - 5 + 4 = -1 for u.
0
Solve -38*q + 874 - 532 = 0 for q.
9
Solve 7 = 95*t + 7 for t.
0
Solve 10*h = 1193 - 1213 for h.
-2
Solve 65 - 28 = 77*u - 117 for u.
2
Solve -9*n = 60 - 73 - 77 for n.
10
Solve -46*o = -9*o + 303 + 104 for o.
-11
Solve 14*m = -53*m - m for m.
0
Solve 176 = -134*f - 42*f for f.
-1
Solve 275*c - 29*c = 3380 + 2032 for c.
22
Solve -27*g + 69 + 219 = -117 for g.
15
Solve -2*z + 3251 = 1595 + 1624 for z.
16
Solve 74 - 82 = r for r.
-8
Solve 0 = -66*h + 321*h + 4080 for h.
-16
Solve 0 = 15*s + 11*s + 73 + 187 for s.
-10
Solve 50 = -41*t + 602 + 63 for t.
15
Solve -168*x + 15 = -173*x for x.
-3
Solve 15*l - 5 + 161 = -24*l for l.
-4
Solve 80 = -208*t - 960 for t.
-5
Solve -18*b + 44*b + 212*b + 4998 = 0 for b.
-21
Solve 103*w - 686 - 138 = 0 for w.
8
Solve 238 = -21*m + 7 for m.
-11
Solve -43 + 13 = -4*y + 6 for y.
9
Solve 0 = 1167064*r - 1167091*r - 1026 for r.
-38
Solve 222*r + 46*r - 48*r - 3520 = 0 for r.
16
Solve 7*b + 19*b - 8*b + 180 = 0 for b.
-10
Solve -7*r + 1245 = 2557 - 1102 for r.
-30
Solve 114*k + 1358 = 313*k - 3816 for k.
26
Solve -183*z = -86*z + 3953 - 558 for z.
-35
Solve -188780*y = -188917*y - 274 for y.
-2
Solve -854 = 981*c + 2089 for c.
-3
Solve -3 = -30*h + 164 + 43 for h.
7
Solve v - 52 + 5 = -26 for v.
21
Solve -196*v - 6747 + 481 = -1170 for
|
{
"pile_set_name": "DM Mathematics"
}
|
- 40. Calculate the highest common factor of k and q.
10
Let u = 489 + -474. Let x = 4 + -7. Let k = u + x. What is the highest common factor of 48 and k?
12
Let x = -3 + 19. Suppose x*y = 12*y + 24. Calculate the greatest common factor of y and 4.
2
Let c(q) = -5*q - 5. Let i be c(-12). Suppose d + w - i = 0, d - 2*w - 4 - 39 = 0. Calculate the greatest common divisor of d and 17.
17
Suppose -19*u + 44 = -17*u. Calculate the greatest common factor of 22 and u.
22
Let y = -25 - -61. Suppose 0 = -11*v + 9*v + y. What is the highest common divisor of 27 and v?
9
Suppose 2*i - 10 = -3*m - 1, -5*i + 4*m = -11. Suppose -2*w - 46 = -c, i*w = -0*c + c - 42. Calculate the greatest common factor of 9 and c.
9
Let k = -135 + 161. Suppose 0 = 5*n - 0*n. Suppose -3*v + v = 4*l - 2, n = 5*v + 3*l - k. What is the greatest common divisor of v and 28?
7
Let n be ((-24)/(-10))/(-6*(-1)/180). Suppose n = 4*i - 128. What is the greatest common factor of i and 20?
10
Suppose 5*f + 273 = 748. Let z = -84 + f. Calculate the greatest common divisor of z and 176.
11
Let r be (2/6)/(15/5715). Suppose 8*l - 121 - r = 0. What is the highest common factor of l and 217?
31
Suppose 6*s - 18 - 12 = 0. Suppose -3*r + 5*r - 22 = -s*z, 0 = -3*z. What is the highest common factor of 66 and r?
11
Suppose -12*w + 12 = -15*w. Let n be (-144)/40*10/w. Let f(h) = -h**3 + 6*h**2 + 7*h + 3. Let o be f(7). What is the greatest common factor of o and n?
3
Let d(z) = z**3 + 2*z**2 + z + 1. Let x be d(2). Let i = 79 + -75. Suppose -i*j + 592 = 4*c, c - 4 + 160 = j. What is the greatest common factor of x and j?
19
Let w be (15/135)/((-2)/(-48))*87. What is the highest common divisor of w and 64?
8
Let o = 42357 - 42346. Let n be (-1)/2 - (-10)/4. Suppose -v - v = -n. What is the greatest common factor of v and o?
1
Let f = -1076 - -1088. Calculate the greatest common factor of 64 and f.
4
Let v = -814 + 1192. Suppose -9*c = -2*c - v. What is the greatest common divisor of c and 135?
27
Let d(o) = 3*o**2 + o - 1. Let q be d(-2). Let j = 49 + -40. What is the highest common factor of j and q?
9
Let k be (-8436)/(-304) - (-6)/(-8). Calculate the highest common factor of 15 and k.
3
Suppose -5*n + 5*k = -580, 7*k - 10*k - 227 = -2*n. Calculate the highest common divisor of n and 33.
11
Let v = -695 + 765. Calculate the highest common factor of 35 and v.
35
Let z(k) = -k**3 + 5*k**2 - 2*k + 4. Let a be z(4). Let x = 547 - 529. Calculate the highest common divisor of a and x.
6
Suppose 6*c - 3*g + 5 = 4*c, 0 = -4*c + g + 5. Let w = -35 - -37. Suppose -5*p - l = -w*l - 123, -l + 52 = c*p. What is the greatest common factor of 10 and p?
5
Let r be 1/(1/(-3) - (-4582)/13224). What is the highest common divisor of r and 32?
4
Let q(k) = k**3 - 14*k**2 - 14*k - 6. Let h be q(15). What is the highest common divisor of 21 and h?
3
Let k be 6 + (-3 + 3)/(-2). Let t be 3 - 3/(-6)*k. Let p be 106/t - (-10)/30. Calculate the highest common divisor of 162 and p.
18
Let v = -17 - -6. Let d(z) = 13*z + 11. Let l be d(v). Let r be 3/9 + l/(-9). What is the greatest common factor of 75 and r?
15
Suppose -5*c = -5*k - 100, 10*c - 41 = 8*c + k. Calculate the greatest common factor of 8 and c.
1
Let i be -5*(-3)/(18/258). What is the greatest common divisor of i and 86?
43
Let c be ((-6)/(-4) + -1)/(1/36). Suppose -9*k - 18 = -12*k. What is the greatest common divisor of k and c?
6
Let x(w) = -2*w**3 - 15*w**2 + 7*w - 6. Let p(v) = v**3 + 3*v**2 - v + 4. Let j be p(-4). Let y be x(j). What is the greatest common divisor of y and 18?
2
Let y(z) = 2*z**3 + z**2 - 2*z + 1. Let h be y(1). Let l be (0 - (-17 - h)) + (0 - 3). What is the greatest common divisor of l and 112?
16
Suppose 5 = -0*j + 5*j + 5*p, 28 = 3*j - 2*p. What is the highest common divisor of j and 6?
6
Suppose 60*n = 74*n - 1456. What is the highest common factor of 8 and n?
8
Let g(w) = w**2 - 3*w + 50. Let d be g(8). Calculate the greatest common divisor of 20 and d.
10
Let k be (-3568)/(-12) - (-1)/(-3). Suppose 115 = 5*j + 5*s, -72*j + 77*j + 3*s - 123 = 0. Calculate the greatest common divisor of j and k.
27
Let p = 25 + -21. Suppose -98 = -p*u - 34. Calculate the greatest common factor of u and 176.
16
Let d(v) = -v**3 - 14*v**2 - v + 10. Let b be d(-14). Calculate the highest common divisor of 6 and b.
6
Suppose 5*g - 10 = 0, -f + 3*g = -86 - 78. Suppose -251*m + 180*m = -4828. Calculate the greatest common factor of f and m.
34
Let u = 55 - 51. Suppose 2*n = u*g + 134, -2*n - 3*g = -g - 164. What is the highest common divisor of 7 and n?
7
Let w be 0/(-1 - (-2 - 1)). Suppose w*i - i = -6. Calculate the highest common factor of 66 and i.
6
Let b = 3 + 2. Suppose 3*h + 52 = 4*u, -2*u + 3*u - h - 14 = 0. Suppose 30 = u*s - b*s. What is the highest common divisor of 15 and s?
3
Let w(m) = -36*m + 168. Let j be w(-26). Calculate the greatest common factor of 138 and j.
138
Let r(s) = s + 1. Let q be r(2). Suppose k - 2*c - 22 = 0, 5*k - 72 - 10 = q*c. Calculate the greatest common factor of k and 70.
14
Let t = 10 - 8. Suppose -4*p - t*k = -26 - 6, -5*p + 3*k = -18. What is the greatest common factor of 18 and p?
6
Let n(z) = -2*z + 6. Let t be n(-8). Calculate the greatest common divisor of 33 and t.
11
Let v be -7*(-4 - (-50)/14). Suppose v*t + 80 = 7*t. Calculate the highest common divisor of t and 10.
10
Suppose -4*p + 4*d = -4, -2 = 3*d + 1. Let y be 1/(-1)*1*(-3 - p). What is the greatest common divisor of y and 9?
3
Let a(s) = 30*s**2 + 9 + 2*s - 6*s - 29*s**2. Let o be a(4). What is the highest common factor of o and 9?
9
Let w(f) = -3*f + 3 - 2 + 9. Let y be w(3). Let n(p) = 4*p**3 + p - 2. Let c be n(y). What is the greatest common divisor of c and 6?
3
Let s(r) be the second derivative of r**3/6 - 3*r**2/2 + r. Let l be s(8). Suppose l*w - w = 4. Calculate the highest common divisor of w and 9.
1
Let d be (-141)/376 + 795/8. Calculate the greatest common divisor of d and 66.
33
Let k be (-5 + -8)*(-2)/(-2). Let z = 14 + k. Calculate the highest common divisor of z and 11.
1
Let k(g) = g. Let c(m) = 7*m - 9. Let s(w) = c(w) + 6*k(w). Let x be s(3). Let v be 3615/x + (-1)/(-2). What is the greatest common divisor of 11 and v?
11
Suppose 90 = -4*x + 390. Suppose 4*a + 27 = x. What is the greatest common divisor of a and 84?
12
Let l(c) = c**2 + 10*c + 21. Let g = -31 - -22. Let z be l(g). Calculate the greatest common divisor of z and 84.
12
Let n(r) be the second derivative of r**4/2 + r**3/2 - 21*r**2/2 - 26*r. Let x be n(-5). Calculate the highest common divisor of x and 6.
6
Let s(c) = -5*c + 4*c + 4*c + 4*c**2 + c. Let v be s(-3). What is the greatest common factor of v and 3?
3
Suppose 0 = -5*k - 5*r + r + 490, 10 = -2*r. Calculate the greatest common divisor of k and 17.
17
Let t(r) = -27*r - 30. Let n be t(-2). Suppose 2*w + 34 + 236 = 0. Let m be (-32)/(-6)*w/(-12). What is the highest common divisor of n and m?
12
Suppose 0 = -5*d + 65 + 15. Let a = -22 + 14. Let w be (-6)/(-8) - 58/a. Calculate the greatest common divisor of d and w.
8
Let h(t) = -t**3 + 13*t**2 + 21*t - 112. Let r be h(11). Calculate the highest common divisor of r and 19.
19
Suppose -75 = -3*x + 81. Let w = -124 + 137. Calculate the highest common divisor of w and x.
13
Suppose -6*c - 1174 = -1636. What is the greatest common divisor of 21 and c?
7
Suppose -5*j = 2*d - 170, j - 2*d - 22 = 24. Suppose n = 3*g - 18, 0 = -3*n - 2*n - 3*g - j. Let t = -3 - n. Calculate the greatest common divisor of t and 42.
6
Let y be (-32)/(-6)*(-306)/(-24). Suppose -5*c + 3*n + 162 = 0, -2*n + 0*n + y = 2*c. What is the highest common divisor of c and 11?
11
Suppose 796 - 266 = 5*o. Calculate the greatest common divisor of 159 and o.
53
Suppose 4*w + 0 = -3*k - 8, 0 = 4*k + 4*w + 4. Calculate the greatest common divisor of 22 and k.
2
Suppose c - b - 100 = 0, b + 400 = 3*c + c. Calculate the greatest common factor of 25 and c.
25
Let h be 8/10*(-5985)/42. Let t = 116 + h. Calculate the greatest common divisor of 9 and t.
1
Suppose 267*t = 263*t + 540. Calculate the greatest common divisor of 81 and t.
27
Let f(u) = 14*u**2 - 15*u + 26. Let h be f(5). What is the highest common factor of h and 43?
43
Let r(i) = -i**3 - i**2 + 27. Let v be r(0). Suppose 5*c - 714 = 96. Su
|
{
"pile_set_name": "DM Mathematics"
}
|
he prime factors of 34793.
11, 3163
List the prime factors of 185.
5, 37
List the prime factors of 27787.
37, 751
List the prime factors of 12926.
2, 23, 281
What are the prime factors of 7860?
2, 3, 5, 131
What are the prime factors of 43948?
2, 10987
List the prime factors of 9507.
3, 3169
List the prime factors of 39291.
3, 7, 1871
List the prime factors of 7.
7
List the prime factors of 1044.
2, 3, 29
What are the prime factors of 79434?
2, 3, 1471
What are the prime factors of 4857?
3, 1619
What are the prime factors of 4032?
2, 3, 7
List the prime factors of 131287.
13, 10099
List the prime factors of 2017.
2017
List the prime factors of 42760.
2, 5, 1069
List the prime factors of 3116.
2, 19, 41
List the prime factors of 13233.
3, 11, 401
List the prime factors of 12913.
37, 349
What are the prime factors of 55?
5, 11
What are the prime factors of 4630?
2, 5, 463
What are the prime factors of 338?
2, 13
List the prime factors of 21971.
127, 173
What are the prime factors of 916?
2, 229
What are the prime factors of 4529?
7, 647
List the prime factors of 43188.
2, 3, 59, 61
What are the prime factors of 7622?
2, 37, 103
List the prime factors of 876.
2, 3, 73
List the prime factors of 124442.
2, 43, 1447
What are the prime factors of 2287?
2287
List the prime factors of 2368.
2, 37
What are the prime factors of 34008?
2, 3, 13, 109
What are the prime factors of 3038?
2, 7, 31
List the prime factors of 1730.
2, 5, 173
What are the prime factors of 1724?
2, 431
List the prime factors of 12010.
2, 5, 1201
What are the prime factors of 4101?
3, 1367
What are the prime factors of 1376?
2, 43
What are the prime factors of 4139?
4139
What are the prime factors of 469?
7, 67
List the prime factors of 1897.
7, 271
List the prime factors of 13297.
13297
What are the prime factors of 34042?
2, 17021
List the prime factors of 992.
2, 31
What are the prime factors of 1141?
7, 163
List the prime factors of 61318.
2, 23, 31, 43
What are the prime factors of 182?
2, 7, 13
What are the prime factors of 703?
19, 37
List the prime factors of 1656.
2, 3, 23
What are the prime factors of 116?
2, 29
List the prime factors of 1973.
1973
List the prime factors of 4841.
47, 103
List the prime factors of 3903.
3, 1301
What are the prime factors of 124079?
127, 977
What are the prime factors of 26006?
2, 13003
List the prime factors of 448.
2, 7
What are the prime factors of 642?
2, 3, 107
List the prime factors of 1384.
2, 173
List the prime factors of 1006.
2, 503
List the prime factors of 5844.
2, 3, 487
List the prime factors of 6135.
3, 5, 409
What are the prime factors of 9463?
9463
List the prime factors of 2704.
2, 13
What are the prime factors of 36318?
2, 3, 6053
What are the prime factors of 1408?
2, 11
What are the prime factors of 813?
3, 271
What are the prime factors of 11104?
2, 347
List the prime factors of 391.
17, 23
What are the prime factors of 377?
13, 29
What are the prime factors of 1252?
2, 313
List the prime factors of 1320.
2, 3, 5, 11
List the prime factors of 95151.
3, 7, 23, 197
What are the prime factors of 67808?
2, 13, 163
What are the prime factors of 1158?
2, 3, 193
List the prime factors of 30923.
17, 107
List the prime factors of 6434.
2, 3217
List the prime factors of 143400.
2, 3, 5, 239
List the prime factors of 30414.
2, 3, 37, 137
List the prime factors of 100383.
3, 33461
What are the prime factors of 137150?
2, 5, 13, 211
List the prime factors of 21446.
2, 10723
List the prime factors of 48079.
48079
What are the prime factors of 1006?
2, 503
List the prime factors of 3901.
47, 83
List the prime factors of 65728.
2, 13, 79
List the prime factors of 1936.
2, 11
What are the prime factors of 18100?
2, 5, 181
What are the prime factors of 21248?
2, 83
List the prime factors of 2504.
2, 313
List the prime factors of 8663.
8663
What are the prime factors of 899?
29, 31
List the prime factors of 684.
2, 3, 19
What are the prime factors of 270?
2, 3, 5
What are the prime factors of 5969?
47, 127
What are the prime factors of 3715?
5, 743
List the prime factors of 2503.
2503
What are the prime factors of 12464?
2, 19, 41
What are the prime factors of 79497?
3, 11, 73
List the prime factors of 13164.
2, 3, 1097
What are the prime factors of 3270?
2, 3, 5, 109
List the prime factors of 17090.
2, 5, 1709
List the prime factors of 19027.
53, 359
What are the prime factors of 545?
5, 109
List the prime factors of 48137.
37, 1301
List the prime factors of 936.
2, 3, 13
What are the prime factors of 2829?
3, 23, 41
List the prime factors of 17286.
2, 3, 43, 67
What are the prime factors of 6785?
5, 23, 59
List the prime factors of 754.
2, 13, 29
What are the prime factors of 134?
2, 67
List the prime factors of 579.
3, 193
What are the prime factors of 85?
5, 17
What are the prime factors of 6327?
3, 19, 37
List the prime factors of 1120.
2, 5, 7
What are the prime factors of 21461?
11, 1951
What are the prime factors of 90130?
2, 5, 9013
List the prime factors of 14672.
2, 7, 131
List the prime factors of 36655.
5, 7331
What are the prime factors of 117796?
2, 7, 601
List the prime factors of 53790.
2, 3, 5, 11, 163
List the prime factors of 9783.
3, 1087
List the prime factors of 999.
3, 37
What are the prime factors of 644?
2, 7, 23
List the prime factors of 6970.
2, 5, 17, 41
What are the prime factors of 21670?
2, 5, 11, 197
List the prime factors of 633.
3, 211
What are the prime factors of 2338?
2, 7, 167
List the prime factors of 1993.
1993
What are the prime factors of 6991?
6991
What are the prime factors of 36375?
3, 5, 97
What are the prime factors of 11319?
3, 7, 11
List the prime factors of 2403.
3, 89
List the prime factors of 1277.
1277
What are the prime factors of 4887?
3, 181
What are the prime factors of 1452?
2, 3, 11
What are the prime factors of 40009?
40009
What are the prime factors of 20823?
3, 11, 631
List the prime factors of 12616.
2, 19, 83
What are the prime factors of 31618?
2, 15809
What are the prime factors of 1164?
2, 3, 97
What are the prime factors of 4706?
2, 13, 181
What are the prime factors of 345?
3, 5, 23
List the prime factors of 2256.
2, 3, 47
List the prime factors of 123202.
2, 229, 269
What are the prime factors of 3004?
2, 751
List the prime factors of 684.
2, 3, 19
What are the prime factors of 3178?
2, 7, 227
List the prime factors of 19766.
2, 9883
List the prime factors of 3415.
5, 683
List the prime factors of 12740.
2, 5, 7, 13
List the prime factors of 37277.
37277
What are the prime factors of 136881?
3, 67, 227
What are the prime factors of 5113?
5113
List the prime factors of 13051.
31, 421
List the prime factors of 46.
2, 23
What are the prime factors of 1355?
5, 271
List the prime factors of 18648.
2, 3, 7, 37
List the prime factors of 344.
2, 43
List the prime factors of 13814.
2, 6907
List the prime factors of 91297.
91297
List the prime factors of 23515.
5, 4703
What are the prime factors of 3506?
2, 1753
List the prime factors of 20347.
20347
List the prime factors of 2107.
7, 43
What are the prime factors of 9455?
5, 31, 61
What are the prime factors of 781?
11, 71
What are the prime factors of 56195?
5, 11239
What are the prime factors of 27204?
2, 3, 2267
What are the prime factors of 6704?
2, 419
What are the prime factors of 4719?
3, 11, 13
List the prime factors of 577.
577
What are the prime factors of 11362?
2, 13, 19, 23
What are the prime factors of 89717?
73, 1229
List the prime factors of 9446.
2, 4723
List the prime factors of 1544.
2, 193
List the prime factors of 1500.
2, 3, 5
What are the prime factors of 44289?
3, 7, 19, 37
What are the prime factors of 70972?
2, 11, 1613
What are the prime factors of 956?
2, 239
What are the prime factors of 48523?
48523
What are the prime factors of 107?
107
List the prime factors of 960.
2, 3, 5
List the prime factors of 7246.
2, 3623
What are the prime factors of 2820?
2, 3, 5, 47
List the prime factors of 133774.
2, 211, 317
List the prime factors of 4703.
4703
List the prime factors of 1595.
5, 11, 29
What are the prime factors of 2558?
2, 1279
List the prime factors of 14870.
2, 5, 1487
What are the prime factors of 1210?
2, 5, 11
List the prime factors of 960.
2, 3, 5
List the prime factors of 5432.
2, 7, 9
|
{
"pile_set_name": "DM Mathematics"
}
|
-63182?
5*r**2 - 12659*r - 12
What is the j'th term of -9062299, -9062298, -9062297, -9062296, -9062295, -9062294?
j - 9062300
What is the i'th term of 67297, 127545, 187793?
60248*i + 7049
What is the d'th term of 826, 888, 962, 1048, 1146?
6*d**2 + 44*d + 776
What is the j'th term of 41559, 41110, 40661?
-449*j + 42008
What is the r'th term of 1110, 13164, 45888, 109620, 214698, 371460, 590244?
1723*r**3 - 3*r**2 + 2*r - 612
What is the u'th term of -367449, -366726, -366003, -365280?
723*u - 368172
What is the c'th term of 1130176, 1130175, 1130174, 1130173, 1130172, 1130171?
-c + 1130177
What is the m'th term of 2628, 17496, 56848, 132924, 257964, 444208, 703896?
2040*m**3 + 2*m**2 + 582*m + 4
What is the x'th term of -759945, -759943, -759941, -759939, -759937?
2*x - 759947
What is the w'th term of 14754058, 14754061, 14754064?
3*w + 14754055
What is the s'th term of -914, 1108, 3120, 5116, 7090, 9036?
-s**3 + s**2 + 2026*s - 2940
What is the z'th term of -56046899, -56046907, -56046927, -56046965, -56047027?
-z**3 - z - 56046897
What is the k'th term of -45547, -166132, -367095, -648430, -1010131, -1452192, -1974607?
k**3 - 40195*k**2 - 7*k - 5346
What is the v'th term of -1293, -1506, -1733, -1980, -2253, -2558, -2901?
-v**3 - v**2 - 203*v - 1088
What is the k'th term of 480138, 480299, 480460, 480621, 480782?
161*k + 479977
What is the m'th term of 1240545, 1240553, 1240561, 1240569, 1240577, 1240585?
8*m + 1240537
What is the x'th term of -42813, -85268, -127369, -169116?
177*x**2 - 42986*x - 4
What is the x'th term of 14394, 14905, 15452, 16053, 16726, 17489?
3*x**3 + 490*x + 13901
What is the d'th term of 11138, 89101, 300710, 712787, 1392154?
11137*d**3 + d**2 + d - 1
What is the m'th term of -13878, -57111, -129166, -230043, -359742, -518263, -705606?
-14411*m**2 + 533
What is the y'th term of -3011, -2078, -1145, -212?
933*y - 3944
What is the i'th term of 261409, 522359, 783307, 1044253, 1305197, 1566139, 1827079?
-i**2 + 260953*i + 457
What is the x'th term of -1342, -6053, -13944, -25009, -39242, -56637, -77188, -100889?
x**3 - 1596*x**2 + 70*x + 183
What is the g'th term of 1333783, 5335137, 12004059, 21340549, 33344607?
1333784*g**2 + 2*g - 3
What is the t'th term of 58, 614, 1144, 1636, 2078, 2458?
-2*t**3 - t**2 + 573*t - 512
What is the d'th term of -3133, -8314, -17429, -32446, -55333, -88058?
-328*d**3 + d**2 - 2888*d + 82
What is the d'th term of 82975, 87023, 91073, 95125, 99179, 103235, 107293?
d**2 + 4045*d + 78929
What is the c'th term of 492234, 987714, 1483194, 1978674, 2474154, 2969634?
495480*c - 3246
What is the z'th term of -60789690, -60789689, -60789688, -60789687?
z - 60789691
What is the w'th term of -184111, -184219, -184327, -184435, -184543, -184651?
-108*w - 184003
What is the w'th term of -201589, -402983, -604377, -805771, -1007165, -1208559?
-201394*w - 195
What is the k'th term of 290116, 290176, 290226, 290266, 290296?
-5*k**2 + 75*k + 290046
What is the g'th term of -296436, -592882, -889354, -1185864, -1482424, -1779046?
-2*g**3 - g**2 - 296429*g - 4
What is the q'th term of 20339, 46596, 78769, 116858, 160863, 210784, 266621?
2958*q**2 + 17383*q - 2
What is the q'th term of -85612, -94384, -108998, -129448, -155728, -187832?
q**3 - 2927*q**2 + 2*q - 82688
What is the n'th term of -24541599, -49083193, -73624787?
-24541594*n - 5
What is the p'th term of -10183920, -20367831, -30551742, -40735653, -50919564?
-10183911*p - 9
What is the f'th term of 23352, 186829, 630544, 1494615, 2919160, 5044297, 8010144, 11956819?
23353*f**3 + f**2 + 3*f - 5
What is the l'th term of 38725, 154855, 348413, 619405, 967837, 1393715?
l**3 + 38708*l**2 - l + 17
What is the x'th term of -426558, -853351, -1280158, -1706985, -2133838, -2560723?
-x**3 - x**2 - 426783*x + 227
What is the x'th term of 13574, 27001, 40282, 53411, 66382, 79189, 91826, 104287?
-x**3 - 67*x**2 + 13635*x + 7
What is the f'th term of -1297862, -2595816, -3893770, -5191724, -6489678?
-1297954*f + 92
What is the g'th term of -141812, -285037, -428262, -571487, -714712?
-143225*g + 1413
What is the o'th term of 12330, 12305, 12272, 12231?
-4*o**2 - 13*o + 12347
What is the h'th term of -72074, -76702, -84414, -95210, -109090?
-1542*h**2 - 2*h - 70530
What is the z'th term of -809, -3299, -7475, -13331, -20861, -30059, -40919?
z**3 - 849*z**2 + 50*z - 11
What is the u'th term of 1354959, 1355011, 1355127, 1355331, 1355647?
4*u**3 + 8*u**2 + 1354947
What is the p'th term of -982, -2483, -5084, -9367, -15914, -25307, -38128, -54959?
-97*p**3 + 32*p**2 - 918*p + 1
What is the y'th term of -13692, -27696, -41700?
-14004*y + 312
What is the g'th term of -82363, -164669, -246949, -329191, -411383, -493513, -575569?
2*g**3 + g**2 - 82323*g - 43
What is the o'th term of 6333, 25189, 56639, 100701, 157393, 226733?
3*o**3 + 6279*o**2 - 2*o + 53
What is the p'th term of 10977, 21064, 31151, 41238?
10087*p + 890
What is the a'th term of -5634, -4877, -4118, -3357?
a**2 + 754*a - 6389
What is the w'th term of -2316580, -4633159, -6949738, -9266317, -11582896, -13899475?
-2316579*w - 1
What is the w'th term of 66169910, 66169933, 66169956?
23*w + 66169887
What is the j'th term of -395092, -395093, -395094?
-j - 395091
What is the z'th term of 10171, 40666, 91471, 162568, 253939, 365566, 497431?
-3*z**3 + 10173*z**2 - 3*z + 4
What is the u'th term of 9494, 18340, 27186?
8846*u + 648
What is the p'th term of 1384, 2594, 3804, 5014, 6224, 7434?
1210*p + 174
What is the m'th term of -628, -645, -654, -667, -696?
-2*m**3 + 16*m**2 - 51*m - 591
What is the m'th term of 19925411, 19925404, 19925393, 19925378, 19925359, 19925336, 19925309?
-2*m**2 - m + 19925414
What is the y'th term of 565113, 1130271, 1695429, 2260587?
565158*y - 45
What is the m'th term of -3585, -7165, -10761, -14373?
-8*m**2 - 3556*m - 21
What is the z'th term of 3828740, 3828741, 3828742, 3828743, 3828744, 3828745?
z + 3828739
What is the k'th term of -632960, -632957, -632930, -632867, -632756, -632585?
2*k**3 - 11*k - 632951
What is the i'th term of 5758, 15831, 25904, 35977?
10073*i - 4315
What is the m'th term of -427, -1016, -1883, -3028, -4451?
-139*m**2 - 172*m - 116
What is the j'th term of 1562233, 1562224, 1562215, 1562206, 1562197, 1562188?
-9*j + 1562242
What is the g'th term of -6294490, -12588985, -18883480, -25177975?
-6294495*g + 5
What is the p'th term of -61055, -61118, -61281, -61592, -62099, -62850, -63893?
-8*p**3 - 2*p**2 - p - 61044
What is the t'th term of -3083377, -6166755, -9250133?
-3083378*t + 1
What is the v'th term of -3998, -6909, -9820, -12731, -15642, -18553?
-2911*v - 1087
What is the l'th term of -2934902, -5869797, -8804692?
-2934895*l - 7
What is the x'th term of 2885, 13010, 30319, 54818, 86513, 125410, 171515, 224834?
x**3 + 3586*x**2 - 640*x - 62
What is the n'th term of 447114, 447234, 447378, 447558, 447786, 448074, 448434, 448878?
2*n**3 + 106*n + 447006
What is the f'th term of -852, -3145, -6564, -10779, -15460?
55*f**3 - 893*f**2 + f - 15
What is the h'th term of -110, -662, -1578, -2858, -4502, -6510?
-182*h**2 - 6*h + 78
What is the d'th term of 43145, 86545, 130209, 174143, 218353, 262845, 307625, 352699?
d**3 + 126*d**2 + 43015*d + 3
What is the b'th term of -109977, -219928, -329879?
-109951*b - 26
What is the j'th term of -843711, -1687389, -2531081, -3374793, -4218531, -5062301, -5906109, -6749961?
-j**3 - j**2 - 843668*j - 41
What is the p'th term of 70785, 130173, 189563, 248955, 308349?
p**2 + 59385*p + 11399
What is the t'th term of 54650297, 54650292, 54650285, 54650276, 54650265, 54650252, 54650237?
-t**2 - 2*t + 54650300
What is the w'th term of 324168, 324213, 324262, 324315, 324372, 324433?
2*w**2 + 39*w + 324127
What is the y'th term of -11954023, -11954021, -11954019, -11954017, -11954015?
2*y - 11954025
What is the k'th term of -19671, -19529, -19397, -19275, -19163, -19061, -18969?
-5*k**2 + 157*k - 19823
What is the y'th term of 1078, 1541, 2310, 3391, 4790, 6513?
y**3 + 147*y**2 + 15*y + 915
What is the d'th term of -301875, -1207519, -2716933, -4830117, -7547071?
-301885*d**2 + 11*d - 1
What is the x'th term of 33399, 267219, 901917, 2137947, 4175763, 7215819, 11458569?
33409*x**3 - 15*x**2 + 2*x + 3
What is the f'th ter
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the smallest value in n, 3, m?
m
Let t = 183 + -163. What is the second biggest value in -2, 6, -3, t?
6
Let d = 3 - 0. Let x be ((-4)/(-20))/((-2)/(-5)). Let p = 33 + -29. Which is the biggest value? (a) x (b) d (c) p
c
Let m = -3.2 + 1.8. Let f = -3.6 + m. Which is the third smallest value? (a) -9 (b) f (c) 0.5
c
Let d = 692 + -696. What is the smallest value in 4, d, 0.2, -92?
-92
Let i = -2441/4 + 611. Let x = 295/416 - 8/13. Let b = x + 37/288. What is the biggest value in 1/9, b, i?
i
Let b(q) be the third derivative of -q**4/12 + q**3 + 5*q**2. Let d be b(1). What is the second biggest value in -0.5, d, 2?
2
Let a = -919 - -918.7. What is the smallest value in -0.2, -16/13, a?
-16/13
Let v = 110.2 - 174.2. Which is the third smallest value? (a) -4 (b) v (c) -0.06
c
Let k = -5.928 - -1.928. Let y = -258 - -3356/13. Which is the fourth smallest value? (a) 4 (b) y (c) k (d) 0
a
Let u be 3 + (-1 - (-12)/15)*-573. Let y = 117 - u. What is the third smallest value in 1/5, y, -3, 2?
1/5
Let s be 6 + -1 - 2 - 1*2. Let x be 16/16 - (s - 5). What is the fourth smallest value in -0.1, 1/4, x, -5?
x
Let z = 3.15 - 0.15. Let f = -2/563 - 2811/1126. What is the biggest value in f, -0.5, z?
z
Let u be 54/(-180) - (-2 + 44/24). Let g be (1 - 8/10)/1. Which is the third biggest value? (a) u (b) 3/4 (c) g (d) -5
a
Let m be (11/((-99)/(-12)))/((-1)/3). What is the fourth biggest value in -0.5, 5, 2/5, m?
m
Suppose 76 = -3*w - 2*q, -5*q - 34 = 2*w + 2. Let d be 6*(w/12 - -2). Which is the third biggest value? (a) 0.4 (b) 3 (c) d
c
Let o = -10.3 + 11. Let t = -0.3 - o. Let b = t + 2. What is the second biggest value in b, 0, -4?
0
Let u be (6/10)/((-6)/(-248)). Let r = -25 + u. What is the smallest value in 0.2, r, 13?
r
Let o be (-2)/3 + 1/(-3). Let q be (-3)/(-471)*(-1 - 0). Let p = q - 309/785. Which is the second biggest value? (a) 2 (b) o (c) p
c
Let n = -116 - -200. Let u = n + -77. Let l = 0.09 - -3.91. What is the second biggest value in l, 1, u?
l
Let q = -4 - -3.73. Let y = 2.27 + q. What is the third biggest value in 4/5, y, -2?
-2
Let o = -2600.122 - -2609. Let n = -0.122 - o. Which is the second smallest value? (a) n (b) 4/5 (c) -1/6 (d) 0.4
c
Let r = -0.2 - -4.9. Let w = -25.7 + r. Let z = w + 20. Which is the third smallest value? (a) z (b) 0 (c) -5
b
Let t = -1 - -0.7. Let p = -207/2 + 617/6. Which is the smallest value? (a) p (b) -43/5 (c) t
b
Let k = 0.1 + 0.4. Let y = 318 - 319. Which is the third biggest value? (a) -4 (b) -2/11 (c) y (d) k
c
Suppose -74 = -3*k + 208. Which is the biggest value? (a) 1 (b) 0.4 (c) k
c
Let f = -0.238 - 0.962. Which is the third smallest value? (a) 2/3 (b) 4 (c) f
b
Let m be ((-78)/(-30) - 3)*80. Which is the third smallest value? (a) 0.2 (b) m (c) -0.2
a
Let x be (-2 - (-40)/22)*(1 - 0). Let y = -3 + 7. What is the third smallest value in x, -4, y?
y
Suppose -4*g + 0 = -8. Suppose -x - 3 = q - g*x, q + 2*x = -3. Let w = -140/3 + 48. Which is the smallest value? (a) q (b) -0.1 (c) w
a
Let g(r) = -r**3 - r**2 - 4. Let t be g(0). Let f = 232.56 - 232.6. Which is the third smallest value? (a) -0.4 (b) f (c) t
b
Let z = -122.1 + 122. Let y = 383/970 + 1/194. Which is the second smallest value? (a) -4 (b) z (c) 2/11 (d) y
b
Let g = -0.258 - 1.742. What is the second smallest value in -1, -21, g?
g
Suppose 2*g = 2*r + 16, 0 = -7*g + 3*g - 4*r. Let z = -0.3 - 0.1. What is the second biggest value in g, z, 4/3?
4/3
Let f = -576 - -579. Which is the third smallest value? (a) f (b) -1.4 (c) 1
a
Suppose 5*d - 9*d = 1200. Let p be (15/2 + 0)*(-15)/d. Which is the biggest value? (a) -0.5 (b) 3 (c) p
b
Let j = -100.7 + 103.7. Let n = 14 - -5. Which is the third smallest value? (a) n (b) j (c) 1
a
Let c be 16/(-24) + (-104)/(-84). What is the second biggest value in 0.092, -5, 3, c?
c
Let q = -3 + -2. Let j = 1/11 - -52/33. What is the third smallest value in -2, j, q?
j
Let x = -7 + 11. What is the second smallest value in x, 2, -4/9, -2?
-4/9
Let i = 21/10 - 8/5. Let k = 184.3 - 188.3. What is the biggest value in k, -2/19, 3, i?
3
Let d = 0.12 - -6.88. Let i = d + -5. What is the smallest value in 1.3, -0.2, i?
-0.2
Let c = 4.75 + -5.15. Let h be (-16)/6 - (-8)/12. What is the third smallest value in 2/13, 4, h, c?
2/13
Suppose -4*j - 6*h + 2*h = -84, 2*h = 2*j - 22. What is the fourth smallest value in 2/3, j, -3, 4?
j
Let m = 2.515 + 0.485. Which is the smallest value? (a) 5 (b) -0.3 (c) 5/4 (d) m
b
Suppose -3*s - 174 = -4*w, 0 = -31*w + 36*w + 15. What is the smallest value in -4, -5, s?
s
Let o = -33.56 + 34. Let k = -2.26 - o. Let z = k - 1.3. What is the smallest value in z, -2/5, -15?
-15
Let x = 24.2 - 4.2. Let p = x - 19.6. Which is the third smallest value? (a) p (b) -0.2 (c) 2/9
a
Let n = 0.4 - -2.6. Let o = n + -3.3. Let s = -0.851 - 2.149. Which is the second biggest value? (a) 4 (b) o (c) s
b
Let m = -26422 + 26422.03. Let c(o) = -2*o + 1. Let q be c(3). What is the second smallest value in 5, q, m?
m
Let s = -8 - -13. Suppose 2*t + 2*w = -w + 19, -s*t = w - 28. Suppose -t*l + 20 = 4*k - 2, 3*l - 3 = k. Which is the smallest value? (a) -0.3 (b) k (c) -2
c
Let m = 784 - 784. Which is the second smallest value? (a) 0.1 (b) -2/23 (c) 4/7 (d) m
d
Let y(i) = -15*i + 2. Let r be y(5). Let k = 43 + r. Let h be ((-10)/15)/(k/9). Which is the third biggest value? (a) -2 (b) h (c) 4
a
Let p(h) = 82*h + 984. Let t be p(-12). Which is the smallest value? (a) -105 (b) t (c) 1/5
a
Let n = -163 - -167. Let y be (1*-1)/((-3)/(-9)). What is the second biggest value in -1, y, 3/7, n?
3/7
Let m be ((-1)/5 - -2) + -2. Let x = 200 - 200. What is the smallest value in 3, m, x?
m
Let u = -0.495 + 53.295. Let q = u + -53. Let v = -3.4 + 3. What is the third biggest value in q, v, 1/3?
v
Let y = -2.5 - -3. Let i = 0.02 - 3.22. Let s = i - -3.3. Which is the second smallest value? (a) y (b) s (c) 2/5
c
Let d = 0.0208 - 0.5208. Let h be 15/(-6)*(-2)/10. Let n = 0.16 - 5.16. Which is the biggest value? (a) n (b) d (c) h
c
Let b = -1201 - -1200. What is the third smallest value in -6, -7, b?
b
Let m(f) = -2*f**2 + f - 1. Let t be m(-2). Let h = t + 21/2. Let n = 5 + -1. Which is the second biggest value? (a) h (b) -0.3 (c) n
b
Let d = 0.3 - 0.2. Let x = 1.2 - 1.16. Let w = x + 0.26. Which is the second smallest value? (a) 1/3 (b) d (c) w
c
Let r be 1 + 1 + (-48)/23. Suppose -l + 3*l - 8 = 0. Let m be -1 + 4 + 4/l. What is the second biggest value in r, 1/9, m?
1/9
Suppose q = -3*i + 9, -5*q + 13 = -4*q + 5*i. Let p be -2*(-1)/(-2) - q. Let u = 1/7 - -5/14. Which is the second smallest value? (a) p (b) u (c) -2/3
c
Let g be -5*(-3 + 856/280). Which is the second smallest value? (a) g (b) -3/4 (c) -14/9 (d) 1
b
Let y = -146.9 + 155. Let g = y + -1.1. Let t be 8/14*3/(-4). What is the second smallest value in t, -4, g?
t
Let v be 1/(-1) - (-63)/49. Let f = 4 - 3.6. What is the second smallest value in f, 0.1, v?
v
Let w = -1359 + 1361. What is the third biggest value in -17, w, -2/3, 2/11?
-2/3
Let s = 1323 - 6611/5. Which is the biggest value? (a) -0.4 (b) s (c) -20.5
b
Let r = -497/152 - -27/8. Let l = -34/21 - -9/7. Which is the fourth smallest value? (a) -2 (b) r (c) -3 (d) l
b
Let n = -3161/4 - -790. What is the second smallest value in -3, -20, n?
-3
Let m = -346 + 341. Which is the biggest value? (a) -1 (b) m (c) -52
a
Suppose 0 = 4*p + 2*r - 1 - 1, -p - 17 = -3*r. Let k be 8/(-396)*-6*1/p. Which is the second biggest value? (a) 2/15 (b) -2 (c) k
c
Let i be (-2 - (-8)/(-6))*(-9)/(-21). Let z = i + -1/14. What is the fourth smallest value in z, 0.1, 0.3, 3?
3
Suppose -392 = 24*s - 2456. What is the biggest value in 2/9, -3, s, 3?
s
Let p = 0.45 - 0.05. Let d be 4 - 0/(5 - 2). Suppose 3*z + 4*i = d, 3*z + 2*i = -1 + 3. What is the second smallest value in z, p, -0.4?
z
Let j = 145 - 144.8. Let x = 11.7 - -1.3. Let t = x - 13.1. Which is the third biggest value? (a) t (b) j (c) -1/15
a
Let d = -797 - -797. What is the second biggest value in -0.25, -1, d?
-0.25
Let i(k) = -2*k**2 - 42*k - 26. Let q be i(-20). Suppose -2*t + 5 = -v, -5*t = v - q - 2. Which is the third biggest value? (a) -4 (b) -2 (
|
{
"pile_set_name": "DM Mathematics"
}
|
/5
b
What is the fourth biggest value in -3218, 1/4, 14, 0.16?
-3218
What is the third smallest value in 1059/116, 2, 34, 4, -3?
4
Which is the biggest value? (a) 1/12 (b) 0 (c) -39 (d) 133 (e) -1/7 (f) 5
d
What is the second biggest value in -2/7, -1/4, -11.9446, -558?
-2/7
What is the third biggest value in -5, -90296, 2/3?
-90296
What is the fifth smallest value in -0.1, 206, 2, 449/3, -6/7, 18?
449/3
What is the fifth biggest value in 5869, 0.1, -5, 3/2, -0.5, 8, 0?
0
Which is the sixth biggest value? (a) 3/5 (b) -0.1 (c) 4 (d) -21 (e) -165372 (f) -3/5
e
What is the second biggest value in -3, -0.3, -6, -0.2, -23, 0.044, 83?
0.044
What is the smallest value in 1, -0.16428, 2?
-0.16428
Which is the third biggest value? (a) 82 (b) 1 (c) 1496/3 (d) -1/2 (e) 2 (f) -2
e
Which is the biggest value? (a) 5/12 (b) -190573 (c) -1/4
a
What is the smallest value in 3/52, 3, -7, -1/2, 0, -0.133?
-7
Which is the third biggest value? (a) -26/5 (b) -1253 (c) 0.5
b
What is the third biggest value in -0.19, 3.73, 0.1, -2/7, -2/5?
-0.19
What is the fourth biggest value in -46/35, -2, -0.1, -1/343?
-2
Which is the biggest value? (a) 0.1 (b) 4 (c) -206 (d) -1/4 (e) -19 (f) -5 (g) 9
g
Which is the fifth biggest value? (a) -4 (b) -86 (c) -69 (d) 23 (e) -0.6
b
Which is the second smallest value? (a) -6/11 (b) 6 (c) 0.19196
c
Which is the smallest value? (a) 0.1 (b) -2 (c) -4 (d) 1562499
c
What is the third smallest value in -1/3, 452, 0.6, -133, 3/14?
3/14
Which is the third biggest value? (a) 14/9 (b) -43 (c) 11 (d) -1/89 (e) 1/6
e
What is the second biggest value in 5, 1, -2018, 0.06, -73?
1
What is the smallest value in 4, -2/7, 0.5, -1/6, -1/3479?
-2/7
What is the biggest value in -10, -3, -6/73, 4, 3, -1/46?
4
Which is the seventh smallest value? (a) -4 (b) -3 (c) 1/4 (d) -1.4 (e) 0.4 (f) 2 (g) -124
f
Which is the second smallest value? (a) -1 (b) -0.109704 (c) 3/19 (d) 1/6
b
Which is the fifth smallest value? (a) 222 (b) -39 (c) -0.3 (d) 2 (e) -11/73
a
What is the third smallest value in -137515, -168/19, 1?
1
What is the smallest value in 44, 5414, 5?
5
Which is the second biggest value? (a) 3/64 (b) 0.2 (c) 22/3 (d) 5 (e) 1
d
What is the third biggest value in -2, 41496, 0.3, -5, -69?
-2
What is the fourth smallest value in -1, 4, 3/427, 3, 450?
4
Which is the second smallest value? (a) 0 (b) 59308849 (c) 2 (d) -0.2
a
Which is the third smallest value? (a) 23 (b) 0.5 (c) 2/15 (d) -7/5 (e) 3 (f) 0
c
What is the third biggest value in 3/15872, -21, -4, 1.3?
-4
Which is the fourth smallest value? (a) 28 (b) -0.1 (c) -5 (d) -2.18 (e) 0.09
e
What is the second smallest value in 32, -4, 4, -201.3, 5/4?
-4
What is the smallest value in -6.4, -1/22738, -2/3, 10?
-6.4
Which is the second biggest value? (a) 0 (b) -10 (c) -5/29 (d) -0.2 (e) 10/19
a
What is the smallest value in -0.6, -1/7, 496?
-0.6
What is the smallest value in -3/178534, 1, 76?
-3/178534
What is the biggest value in -1/9, -1/4, -5, -465, 1/10, 5, -0.2?
5
What is the smallest value in 0.125, -0.1, 23, 29, 0.9?
-0.1
Which is the third biggest value? (a) -0.05 (b) 2/7 (c) 6 (d) 0.6 (e) -1 (f) -0.0384 (g) 5
d
What is the fourth smallest value in 1.4, 27, 1/5, 1128, -2/5, 1/4, -3?
1/4
What is the third biggest value in 12/5, -11/158, 3, 5, -1/6, -1/3, -4?
12/5
Which is the biggest value? (a) -2 (b) -1/5 (c) 0.307738
c
Which is the third biggest value? (a) 17 (b) -5908 (c) -1/11
b
Which is the third biggest value? (a) 1/2 (b) 3 (c) 1/29 (d) 0.3 (e) -4
d
What is the smallest value in 334, 1.13, 0.092?
0.092
What is the second smallest value in 131.36385, -5/6, 1/4?
1/4
Which is the biggest value? (a) 68 (b) 5 (c) 8105.5 (d) -4 (e) -5
c
What is the third smallest value in 1459, -296.78, -4, -5?
-4
What is the second smallest value in 0.49, -249, 3, 5, 4, -2/7?
-2/7
What is the fifth biggest value in -0.159, 4, -1, 2/13, 0.23, -2/5, -3?
-2/5
What is the fourth biggest value in 0.4, 0.3363, -1, 0.24, -0.04?
-0.04
What is the fourth smallest value in 0.2, 12/7, 1/2, 126, -1?
12/7
Which is the third smallest value? (a) 0.5 (b) -1120522 (c) -2
a
What is the second smallest value in 20149, 14/5, -3?
14/5
What is the fourth biggest value in 224, -2, 0.2, -3/2, 9, -0.03, 0.19?
0.19
What is the third biggest value in 46, -0.1, -5, -0.3, 0.5, 478?
0.5
What is the biggest value in 9, 1/130, 55, 444?
444
Which is the third biggest value? (a) 3 (b) -1 (c) 0.28 (d) -172490
b
Which is the second biggest value? (a) 79.034 (b) -1 (c) 7/38
c
Which is the fourth biggest value? (a) -4 (b) 6.3 (c) 0.09 (d) -27 (e) -1 (f) 0.01 (g) 0.5
f
What is the smallest value in 9, 2/41, 13, 1/6, -2, 72/13?
-2
What is the biggest value in 0.26417, 5, 0.5, -12, -11, -2, -0.4?
5
What is the biggest value in -1310, -794, 0?
0
What is the second biggest value in -25, 1858/55, -3?
-3
What is the third biggest value in 1, 1.6, -8/409, -1/10, 4?
1
What is the fifth biggest value in 1.3, 0.2, -2/15, 1/7, -145, 6, -0.2?
-2/15
What is the fourth smallest value in -2/13, 1/4, -5/59, 3/2, -5/14?
1/4
Which is the biggest value? (a) 5 (b) 1 (c) 29 (d) 2/21 (e) -3 (f) 1.417
c
Which is the fourth biggest value? (a) 0.2 (b) -2/11 (c) 4/5 (d) -228/145
d
What is the second smallest value in 4, 0.4, 0.5, -21.4, 2.59?
0.4
What is the third biggest value in -48, 256, 4, -3.873, 5?
4
What is the third biggest value in 241/114, 1, -36?
-36
What is the fourth smallest value in -160, 1/24, -4, -3/23?
1/24
What is the third smallest value in -313/241143, 0.3, -5?
0.3
What is the fifth smallest value in -143/58, 2/5, -0.4, 2, -1/3, 1, 6/7?
6/7
What is the third biggest value in 64.2, -35, -3/2, 6, 36, 0.2?
6
Which is the third biggest value? (a) 0.274023 (b) 45 (c) -2
c
What is the third smallest value in -1/5, 2/19, 86, 6, 2, -31/4, -1/2?
-1/5
What is the fourth smallest value in 10, -2/9, 15, -4414, 4/3?
10
What is the biggest value in 4, -0.882, -72, 0.13, -2/19?
4
What is the smallest value in 16, 884, -177/8, 0.1?
-177/8
What is the second biggest value in -137, 10614, -2?
-2
Which is the second biggest value? (a) -12.23884 (b) 3/5 (c) 3 (d) -2 (e) -0.2
b
Which is the third smallest value? (a) -0.02 (b) 20.76 (c) -6 (d) -0.6 (e) 2/5
a
What is the third smallest value in -1.3, 0.8, 6, 102.3?
6
Which is the smallest value? (a) -233663 (b) -12 (c) 0.3 (d) -1/5
a
What is the fourth smallest value in -2253, -4, 97, 0.2?
97
Which is the second smallest value? (a) 4/27 (b) 141984 (c) 1
c
What is the smallest value in 5, -9, -5/6, 1/8, 0.44, 2, -5/2?
-9
What is the smallest value in 11, 0, -136934?
-136934
What is the smallest value in -4/9, 6, 267563?
-4/9
Which is the second biggest value? (a) -1/6 (b) 2/9 (c) -2/5 (d) -1 (e) -14 (f) 0.2 (g) -1/2
f
Which is the second biggest value? (a) 5367 (b) -7.473 (c) 5/4
c
Which is the third smallest value? (a) 0.021 (b) 547 (c) 3044
c
What is the biggest value in -3, 0, -0.4, 1.36831?
1.36831
What is the second biggest value in -608/13, -8, 1/46?
-8
Which is the second biggest value? (a) 1/57 (b) 4 (c) -1/6 (d) -1/4 (e) 10 (f) -0.099
b
Which is the fifth smallest value? (a) -0.4 (b) 14/71 (c) -1/15 (d) -3.3 (e) -0.5
b
Which is the fifth smallest value? (a) 2/13 (b) 0.027 (c) 0.5 (d) 3/5 (e) 0.4 (f) 0.07
c
What is the biggest value in -1/268, 4, -5, -1/19, -4?
4
What is the second smallest value in -3.86, 1/8, -1/11148?
-1/11148
Which is the second biggest value? (a) -1 (b) 0.3 (c) -2041633
a
Which is the fifth smallest value? (a) 0.05036 (b) 0 (c) -0.03 (d) -2/491 (e) 3/5
e
What is the third smallest value in 5, -3, -27106/7, 1, -0.1, 0.1?
-0.1
What is the second biggest value in -1/8, -1054, -20/9, -4, -0.07?
-1/8
Which is the biggest value? (a) -1 (b) -0.05 (c) -3/5 (d) 0 (e) 637 (f) 3.292
e
What is the biggest value in 4, -801, 27247?
27247
What is the third biggest value in 51, 0.5, -0.04, -241/47?
-0.04
What is the biggest value in 1, 1318, 700?
1318
What is the fifth smallest value in 2, -254, 0.27, -0.0443, -3/5?
2
Which is the sixth biggest value? (a) -1/5 (b) 1/8 (c) 1/2 (d) -2/3 (e) -13218 (f) 10
e
Which is
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is 685 minutes after 7:24 PM?
6:49 AM
What is 353 minutes after 9:20 PM?
3:13 AM
How many minutes are there between 9:38 PM and 1:38 AM?
240
How many minutes are there between 4:51 AM and 10:58 AM?
367
How many minutes are there between 11:32 AM and 2:17 PM?
165
What is 618 minutes before 1:17 PM?
2:59 AM
How many minutes are there between 5:49 PM and 8:53 PM?
184
How many minutes are there between 2:22 PM and 6:33 PM?
251
How many minutes are there between 3:04 AM and 6:10 AM?
186
How many minutes are there between 12:07 PM and 10:34 PM?
627
What is 526 minutes after 10:00 AM?
6:46 PM
How many minutes are there between 10:44 AM and 4:06 PM?
322
What is 14 minutes before 3:40 PM?
3:26 PM
How many minutes are there between 4:40 PM and 10:04 PM?
324
What is 628 minutes before 6:41 PM?
8:13 AM
How many minutes are there between 11:18 AM and 9:15 PM?
597
What is 238 minutes before 9:32 AM?
5:34 AM
What is 283 minutes before 1:17 AM?
8:34 PM
What is 12 minutes after 9:52 AM?
10:04 AM
How many minutes are there between 7:26 PM and 1:10 AM?
344
How many minutes are there between 7:36 PM and 6:00 AM?
624
What is 246 minutes before 4:51 PM?
12:45 PM
What is 98 minutes before 12:27 AM?
10:49 PM
What is 286 minutes after 12:45 PM?
5:31 PM
How many minutes are there between 5:20 PM and 12:14 AM?
414
How many minutes are there between 5:31 PM and 12:05 AM?
394
How many minutes are there between 1:03 AM and 3:31 AM?
148
How many minutes are there between 1:58 AM and 9:26 AM?
448
What is 419 minutes after 5:53 PM?
12:52 AM
What is 291 minutes before 9:23 AM?
4:32 AM
How many minutes are there between 12:46 AM and 11:32 AM?
646
What is 373 minutes before 6:33 PM?
12:20 PM
What is 62 minutes after 3:19 PM?
4:21 PM
How many minutes are there between 3:49 PM and 4:52 PM?
63
What is 50 minutes before 6:28 AM?
5:38 AM
How many minutes are there between 11:19 AM and 4:46 PM?
327
What is 525 minutes after 2:49 AM?
11:34 AM
What is 59 minutes before 7:23 AM?
6:24 AM
What is 300 minutes before 2:43 PM?
9:43 AM
What is 303 minutes after 9:20 AM?
2:23 PM
What is 705 minutes after 7:57 AM?
7:42 PM
What is 572 minutes before 10:54 PM?
1:22 PM
What is 430 minutes before 10:21 PM?
3:11 PM
What is 454 minutes before 10:16 AM?
2:42 AM
How many minutes are there between 7:19 PM and 9:44 PM?
145
What is 292 minutes before 11:27 PM?
6:35 PM
How many minutes are there between 11:05 AM and 5:30 PM?
385
How many minutes are there between 9:33 PM and 6:46 AM?
553
How many minutes are there between 8:03 PM and 10:20 PM?
137
What is 401 minutes before 6:51 AM?
12:10 AM
What is 295 minutes before 4:04 PM?
11:09 AM
What is 172 minutes after 6:57 PM?
9:49 PM
What is 203 minutes after 9:39 AM?
1:02 PM
What is 253 minutes before 6:27 PM?
2:14 PM
What is 35 minutes after 8:47 PM?
9:22 PM
How many minutes are there between 7:14 PM and 3:02 AM?
468
How many minutes are there between 7:16 AM and 6:26 PM?
670
How many minutes are there between 3:33 AM and 1:43 PM?
610
How many minutes are there between 12:21 PM and 3:14 PM?
173
How many minutes are there between 10:54 PM and 7:44 AM?
530
How many minutes are there between 4:56 PM and 10:11 PM?
315
How many minutes are there between 9:11 PM and 6:01 AM?
530
What is 468 minutes before 2:11 PM?
6:23 AM
What is 173 minutes before 1:49 AM?
10:56 PM
How many minutes are there between 1:39 AM and 3:45 AM?
126
How many minutes are there between 12:41 AM and 7:50 AM?
429
What is 244 minutes before 8:25 AM?
4:21 AM
What is 126 minutes before 3:15 PM?
1:09 PM
What is 677 minutes before 9:53 AM?
10:36 PM
How many minutes are there between 11:57 PM and 7:00 AM?
423
What is 25 minutes after 9:34 PM?
9:59 PM
What is 145 minutes before 6:17 AM?
3:52 AM
What is 503 minutes after 4:57 PM?
1:20 AM
What is 572 minutes after 11:13 AM?
8:45 PM
How many minutes are there between 2:34 AM and 11:26 AM?
532
How many minutes are there between 12:26 AM and 12:37 AM?
11
How many minutes are there between 2:45 AM and 11:43 AM?
538
What is 120 minutes before 6:19 AM?
4:19 AM
How many minutes are there between 2:41 AM and 5:36 AM?
175
How many minutes are there between 11:10 AM and 10:17 PM?
667
What is 463 minutes after 12:54 AM?
8:37 AM
What is 628 minutes after 6:44 AM?
5:12 PM
How many minutes are there between 12:46 AM and 7:36 AM?
410
What is 240 minutes before 6:43 PM?
2:43 PM
What is 101 minutes after 9:06 AM?
10:47 AM
How many minutes are there between 11:00 AM and 5:07 PM?
367
What is 616 minutes before 10:45 PM?
12:29 PM
What is 588 minutes before 6:21 PM?
8:33 AM
How many minutes are there between 1:11 PM and 11:22 PM?
611
What is 609 minutes before 11:05 PM?
12:56 PM
What is 172 minutes after 6:09 AM?
9:01 AM
How many minutes are there between 11:01 AM and 2:16 PM?
195
What is 35 minutes before 3:50 PM?
3:15 PM
What is 493 minutes after 9:54 PM?
6:07 AM
How many minutes are there between 4:56 PM and 8:01 PM?
185
What is 667 minutes after 7:48 AM?
6:55 PM
What is 40 minutes before 8:12 AM?
7:32 AM
What is 652 minutes after 10:02 PM?
8:54 AM
How many minutes are there between 9:15 PM and 7:49 AM?
634
How many minutes are there between 1:24 AM and 12:33 PM?
669
What is 589 minutes before 11:37 PM?
1:48 PM
How many minutes are there between 12:18 AM and 11:30 AM?
672
What is 274 minutes after 7:11 AM?
11:45 AM
How many minutes are there between 12:39 AM and 7:27 AM?
408
How many minutes are there between 8:13 AM and 1:44 PM?
331
How many minutes are there between 11:07 PM and 4:49 AM?
342
What is 719 minutes after 11:05 PM?
11:04 AM
How many minutes are there between 9:47 AM and 5:39 PM?
472
How many minutes are there between 5:34 PM and 2:14 AM?
520
How many minutes are there between 1:58 PM and 2:33 PM?
35
How many minutes are there between 12:29 AM and 7:57 AM?
448
How many minutes are there between 4:35 PM and 6:35 PM?
120
What is 675 minutes after 4:21 PM?
3:36 AM
What is 142 minutes before 2:29 PM?
12:07 PM
How many minutes are there between 9:59 PM and 3:22 AM?
323
How many minutes are there between 7:21 AM and 5:52 PM?
631
How many minutes are there between 6:37 PM and 1:35 AM?
418
How many minutes are there between 2:47 AM and 3:41 AM?
54
What is 652 minutes before 12:00 PM?
1:08 AM
How many minutes are there between 2:53 PM and 9:39 PM?
406
How many minutes are there between 9:33 AM and 4:52 PM?
439
How many minutes are there between 11:11 AM and 8:47 PM?
576
What is 344 minutes after 3:31 AM?
9:15 AM
What is 323 minutes after 4:53 PM?
10:16 PM
What is 482 minutes after 11:21 AM?
7:23 PM
How many minutes are there between 9:32 PM and 4:13 AM?
401
What is 254 minutes after 12:09 AM?
4:23 AM
How many minutes are there between 1:06 AM and 11:26 AM?
620
What is 77 minutes after 5:54 AM?
7:11 AM
How many minutes are there between 11:07 AM and 4:38 PM?
331
How many minutes are there between 12:05 AM and 3:06 AM?
181
How many minutes are there between 3:02 AM and 5:17 AM?
135
How many minutes are there between 7:58 AM and 2:58 PM?
420
What is 406 minutes before 6:42 PM?
11:56 AM
How many minutes are there between 6:07 AM and 7:38 AM?
91
What is 591 minutes after 12:43 AM?
10:34 AM
How many minutes are there between 4:34 PM and 1:08 AM?
514
What is 148 minutes after 6:13 AM?
8:41 AM
What is 121 minutes after 7:59 AM?
10:00 AM
What is 708 minutes after 8:26 PM?
8:14 AM
How many minutes are there between 1:35 AM and 10:52 AM?
557
What is 581 minutes after 8:01 AM?
5:42 PM
How many minutes are there between 6:10 AM and 3:17 PM?
547
How many minutes are there between 8:50 PM and 8:56 PM?
6
How many minutes are there between 3:25 PM and 10:33 PM?
428
How many minutes are there between 10:54 AM and 12:24 PM?
90
What is 627 minutes before 5:54 PM?
7:27 AM
How many minutes are there between 4:59 PM and 11:33 PM?
394
How many minutes are there between 2:17 PM and 4:57 PM?
160
How many minutes are there between 4:58 PM and 3:18 AM?
620
What is 103 minutes before 3:24 AM?
1:41 AM
How many minutes are there between 5:22 PM and 7:04 PM?
102
How many minutes are there between 7:28 PM and 12:02 AM?
274
How many minutes are there between 9:46 PM and 5:33 AM?
467
What is 481 minutes before 4:50 AM?
8:49 PM
What is 439 minutes before 9:35 PM?
2:16 PM
How many minutes are th
|
{
"pile_set_name": "DM Mathematics"
}
|
p - 49 = -l. Let g = r - l. What is the nearest to 0 in g, -0.1, -0.3?
-0.1
Let l = -32 + 31.9. What is the closest to l in 6, -1/2, 3/4?
-1/2
Let z be (-3 + 0)*2/6. Suppose -4*x + 17 - 57 = 0. Let b be ((-2)/(-3))/(x/(-6)). What is the nearest to b in 1/5, z, 2?
1/5
Let u = -0.85 - -0.05. Let f = -0.2 + u. Which is the closest to 2? (a) f (b) -4 (c) -2
a
Let s = -0.02 - 0.48. What is the nearest to 1 in 2/9, s, 2/11?
2/9
Let h be 19/3*(-9)/(-132). Let s = h - 2/11. What is the closest to s in -2/5, -1, 2?
-2/5
Suppose -19 = -4*r + 5. Let k be (3/(-81))/((-2)/r). What is the closest to -1 in -0.1, -1, k?
-1
Let d = -7 - -4. Let t = d + 6. Let x = t + -2.5. Which is the nearest to 0? (a) -1/7 (b) x (c) 0.1
c
Let d = 3.3 - 0.3. Let c = 2.7 - d. Let o = 136 + -955/7. What is the nearest to 0.1 in o, c, -1?
c
Let n = -13.89 - -14. Let i = 0.01 - n. Let h = 6 + -1. What is the nearest to i in h, 0.5, 3?
0.5
Let s = -0.9 + 0.78. Let m = -0.08 + s. What is the closest to -1 in m, 0.3, -0.5?
-0.5
Suppose -4*f = 3*b + 25, 2*f + 5*b + 11 = 3*f. What is the closest to -1 in f, 3/5, 0?
0
Let n = 91 + -96. What is the nearest to 0 in 0.3, n, -0.2?
-0.2
Let a = 3 - 2.9. Let l = -16 - -9.6. Let z = l - -6. What is the nearest to 0 in z, 0, a?
0
Let f = -5 - 0. Let k = -3 + 3.5. Let w = 0.012 + -0.112. Which is the nearest to w? (a) k (b) f (c) 5
a
Let i = -13 + 8. Let g = -56/81 - -2/81. What is the nearest to g in 1/10, 2/3, i?
1/10
Let h be 6/(-4) - (-7)/((-224)/(-40)). Let r be 2 + -1 + 2/(-1). What is the closest to r in 3/5, -2, h?
h
Suppose -2*i = -5*i + 5*d + 16, 3*i + 34 = -5*d. Let g = 0.028 + 0.472. What is the nearest to 1/5 in g, i, -4/9?
g
Let m = -145 + 144. Let d = 1 - 0. Let x = 145/273 + -4/39. What is the nearest to d in x, m, -2/3?
x
Suppose 3*d + 0*g - 3 = -g, 2*g = 5*d - 16. Let v be (-2)/3 - d/(-4). Which is the closest to v? (a) -0.4 (b) 1 (c) 2/7
a
Suppose 4 = -4*t - 0. Let y = 165 + -165. Which is the closest to t? (a) -4 (b) -3 (c) y
c
Let y = 35.4 + -39.34. Let q = y + -0.06. Which is the closest to -0.1? (a) 2 (b) q (c) 0.2
c
Let h be (-2 - 9/(-5))*-2. Let i = 66 - 193/3. Let x = 180.5 + -181. What is the nearest to h in x, 2, i?
x
Let k = -0.1 - -0.1. Let v = -24 - -15. Let p be (v/12)/((-54)/16). What is the closest to k in -5, p, -2/3?
p
Let t be (11982/(-18))/((-8)/3). Let l = -250 + t. Which is the nearest to -1? (a) -2 (b) 2 (c) l
c
Let y = 14 + -15. Which is the closest to -1/3? (a) y (b) -3 (c) 0.2
c
Let v = 33 - 38. Let b = -0.2 + 0.1. Suppose 30 = 5*l + 5. What is the nearest to b in v, l, 4?
4
Let t = -8.7 - -10.7. What is the nearest to 1/4 in -2/7, -1/67, t?
-1/67
Let w = -3/44 - 2/11. Let p = -23 - -23.3. Which is the nearest to w? (a) p (b) 2 (c) -0.5
c
Let f be (16/24)/((-8)/(-18)). Which is the closest to 3? (a) 1 (b) f (c) 0.4
b
Let k = 4 + -5. Let f = -1.6 - -1.8. Which is the nearest to 0.1? (a) f (b) -1/10 (c) k
a
Suppose 10*m = 5*m + 25. Let j = 18.25 + -0.25. Let z = j + -16. Which is the closest to z? (a) -3/2 (b) -4/3 (c) m
c
Suppose 0 = -2*y + 2*s, -y - 1 = -3*y + s. What is the closest to y in 14, -2/9, 0.5?
0.5
Let m = 0.5 - -1.5. Let t = 2 - m. Let d be ((-15)/17 - -1)*-1. What is the closest to t in 0.4, d, -4?
d
Let r(b) = -b**3 + 3. Let d be r(0). Let w be (d - 2)/(8/(-3)). Let f = 0.4 + -0.3. What is the nearest to f in 1, w, -2/13?
-2/13
Suppose -4*r + r = -15. Which is the closest to 3? (a) r (b) -0.1 (c) 0
a
Let x be 11/3 - (-6)/(-9). What is the nearest to -1 in -1/4, x, -1/2?
-1/2
Let b be (36/(-64))/(3/(-4)). What is the nearest to 2 in b, 2, -2?
2
Let y = -3 - -2. Let b = -11/26 - 1/13. Let q = 1 + b. What is the nearest to y in 3, q, -0.3?
-0.3
Let x = -2.9 - -3.3. Let i = -0.1 + 0. Let s = i - x. Which is the closest to 0.1? (a) 0 (b) s (c) 2/9
a
Let b = -3.54 + -1.16. Let m = -0.3 + b. Let z = m + 8. What is the closest to 1 in z, 4, -3/4?
-3/4
Let i = -0.03 - -0.03. Which is the closest to 6? (a) i (b) -4 (c) 4
c
Let n = 0.31 + 0.19. What is the closest to 1 in n, -0.3, -1?
n
Let v = 5 + -4.6. Let f = 3.9 + 1.1. Let m = 4 - f. Which is the closest to m? (a) 0.5 (b) -3 (c) v
c
Let f be (-3)/(-2) - (-108)/(-56). Let h be -2 + 1 + (-8)/(-10). Which is the closest to 0.1? (a) h (b) -3 (c) f
a
Let f be 1/(((-195)/(-6))/(-5)). Let h be 10/40*8/3. What is the closest to 0 in h, -2, f?
f
Let i = 1/16 - -61/48. What is the nearest to 0 in -1/4, -3/2, i?
-1/4
Let r(u) = -u**3 + 7*u**2 + 9*u - 7. Let x be r(8). Let n = 0 + -0.1. Let l = 2 + 2. Which is the closest to n? (a) x (b) l (c) -3
a
Let n be (-4)/2*(-3)/(-6). Let d(l) = -l - 8. Let u be d(-4). Which is the closest to 1? (a) u (b) n (c) 0.4
c
Let f = 7.97 - 8. Let h = 58 + -58.23. Let z = f - h. Which is the closest to z? (a) -2/15 (b) -1/6 (c) -0.3
a
Let d = -0.3 + 0.4. Let z be ((-19)/(-57))/(-2 - (-146)/72). Which is the closest to z? (a) d (b) 2 (c) 1
b
Let q = -6 - -4. Let a = q - -2.5. What is the nearest to -1 in a, -3, 3?
a
Let n(l) be the third derivative of 0*l + 2*l**2 + 1/24*l**4 - 2/3*l**3 + 0. Let v be n(6). Which is the nearest to 0.1? (a) 3 (b) 2/9 (c) v
b
Let u = 13 + -20. Let s = 5 + u. Let w be s + 4 + 18/(-7). What is the closest to -1 in w, -4, 0?
w
Let o = 3 - 5. Let f = 12 - 7. What is the nearest to -3 in f, o, -0.4?
o
Let h be (-160)/600 + 4/10. Which is the closest to 0.2? (a) h (b) -0.2 (c) 5
a
Let i be (3 - 0 - -66) + -1. What is the closest to 0.1 in i, -0.3, 3?
-0.3
Let s = -0.85 + -0.7. Let z = s + 1.6. Which is the nearest to z? (a) 4 (b) -2 (c) 2
c
Let n = 173/5 + -34. Let y = -23 + 27. Which is the nearest to 1? (a) y (b) n (c) -3
b
Let h be (-2)/(-4)*6/(-9). Let w be 2 + -2 - (-4)/18. What is the closest to -0.1 in h, -3, w?
h
Let x = -16 + 9. Let m = -6.7 - x. Which is the nearest to 0? (a) 3 (b) -2/7 (c) m
b
Let s be 1/4 - (0 - 0). Let h = 17 + -10. Let b = 6.5 - h. What is the nearest to 1/4 in b, 0, s?
s
Let p = -60/11 - -491/88. Let f = -3 + 18. Let j = f - 14.9. What is the nearest to j in p, -0.4, -4/7?
p
Let v = -131 + 131.2. Which is the nearest to 1/2? (a) -1/13 (b) v (c) 0.1
b
Let g = 10.4 + -0.4. Let u = g - 9.6. Which is the nearest to 1? (a) u (b) 0.5 (c) 1
c
Let w = 2 - 0. Which is the closest to w? (a) 2 (b) -3 (c) -0.2
a
Let r = -4 + 3.5. Let p be 20/16 + -1 - 1. Which is the nearest to 0? (a) r (b) p (c) 4
a
Let s = -15 - -14.86. Let g = 0.06 - s. Which is the nearest to g? (a) 2/3 (b) 2/13 (c) -2
b
Let t = 2 - 2.1. Suppose f = 2, 4*g - 2*f + 7 = -17. Let u = -6 - g. Which is the nearest to t? (a) u (b) 0.3 (c) -2
b
Let t = -0.76 + -0.14. What is the closest to -2/3 in t, 5, 0.4?
t
Let l = 3/19 + 7/76. What is the nearest to -0.2 in 0.3, 0, l?
0
Let g = -3.2 - 0.8. Let h = g + 5. Let l = 0 + 3. Which is the closest to h? (a) -0.5 (b) -5 (c) l
a
Let s = -224/5 + 45. Let w = 4 + -7. Let m = 7 + w. What is the nearest to 2/7 in 2/5, m, s?
s
Let f(m) = -m**3 - 15*m**2 - m - 15. Let z be f(-15). What is the nearest to z in -0.2, 1/6, -5?
1/6
Let q be 667/207 + 3/((-2)/2). Which is the closest to -1? (a) -0.3 (b) -2/9 (c) q
a
Let j = 1 + -1/2. Let g = -1.96 - 0.04. Let d = -4 + 3.5. Which is the nearest to j? (a) g (b) d (c) 1
c
Let q = 10 - 20. Let p = -47/5 - q. Which is the closest to 0? (a) -5 (b) -4 (c) p
c
Let l = -0.3 + 1.6. Let k = l + -1.27. What is the closest to 2/3 in 1, 2/3, k?
2/3
Let a = 81 - 65. What is the nearest to 1/2 in 0.5, 0, a?
0.5
Let k = 16 - 16.5. Which is the nearest to -0.4? (a) 1/5 (b) k (c) 0.3
b
Let f = -50 + 51. What is the nearest to f in -2/7, 0.2, -4?
0.2
Let w(z) = z**2 + 7*z + 2. Let f be w(-4). Suppose -7*n - 8 = -3*n. Let q be (4/f)/(0 - n). Which is the closest to 1/2? (a) q (b) 1/8 (c) -3/4
b
Let z = -5/2 + 71/30. What is the nearest to z in -0.4, -0.2, -4?
-0.2
Let s = -31 - -31.8. What is the nearest to -0.1 in -4, s, 1?
s
Let i = 414.16 - 398. Let j = i + -20.1. Let k = -0.06 + j. Which is the nearest to 0? (a) 0.3 (b) -0.2 (c) k
b
Let h = 2/23 - -40/69. What is the nearest to h in -0.5, 3/4, 1/3?
3/4
Let b = 6.2 + -6.3. What is the closest to b in -0.2, 0.2, 3/5?
-0.2
Let r be (-1 - 0) + (-10)/(-14). Suppose 16*k = 15 - 15. Let q
|
{
"pile_set_name": "DM Mathematics"
}
|
57, 6242, 9451, 12684, 15941, 19222?
12*d**2 + 3149*d - 104
What is the h'th term of 322499, 1289977, 2902443, 5159897, 8062339?
322494*h**2 - 4*h + 9
What is the f'th term of 91374241, 91374243, 91374245, 91374247?
2*f + 91374239
What is the w'th term of -20449873, -20449871, -20449869, -20449867?
2*w - 20449875
What is the z'th term of 2346, 5962, 11990, 20430, 31282?
1206*z**2 - 2*z + 1142
What is the k'th term of 282257, 564505, 846753, 1129001, 1411249?
282248*k + 9
What is the k'th term of -4828, -18741, -41794, -73987, -115320?
-4570*k**2 - 203*k - 55
What is the f'th term of 306680, 613503, 920474, 1227593, 1534860, 1842275?
74*f**2 + 306601*f + 5
What is the r'th term of 149170, 150617, 152062, 153505, 154946, 156385, 157822?
-r**2 + 1450*r + 147721
What is the p'th term of 3256, 11859, 20462, 29065, 37668, 46271?
8603*p - 5347
What is the w'th term of -72784, -71871, -70336, -68173, -65376?
w**3 + 305*w**2 - 9*w - 73081
What is the l'th term of 6437722, 12875443, 19313164, 25750885, 32188606, 38626327?
6437721*l + 1
What is the g'th term of -64538, -64363, -63864, -62879, -61246, -58803?
27*g**3 - 14*g - 64551
What is the a'th term of 1554792, 3109575, 4664356, 6219135, 7773912, 9328687?
-a**2 + 1554786*a + 7
What is the x'th term of 198097, 396335, 594573, 792811, 991049?
198238*x - 141
What is the u'th term of -4656, -4821, -4982, -5139, -5292, -5441, -5586?
2*u**2 - 171*u - 4487
What is the h'th term of -13718100, -27436183, -41154260, -54872331, -68590396, -82308455?
3*h**2 - 13718092*h - 11
What is the x'th term of 7799, 14559, 21317, 28073, 34827, 41579, 48329?
-x**2 + 6763*x + 1037
What is the g'th term of -98661, -98681, -98721, -98787, -98885, -99021, -99201?
-g**3 - 4*g**2 - g - 98655
What is the x'th term of -51052449, -102104894, -153157339, -204209784, -255262229, -306314674?
-51052445*x - 4
What is the y'th term of -2989, -10206, -21599, -37168, -56913, -80834, -108931?
-2088*y**2 - 953*y + 52
What is the l'th term of -14607, -17739, -26237, -42783, -70059, -110747, -167529, -243087?
-447*l**3 - l**2 - 14159
What is the t'th term of 6821, 2349, -2117, -6571, -11007?
t**3 - 3*t**2 - 4470*t + 11293
What is the r'th term of 90128, 180283, 270440, 360599, 450760, 540923?
r**2 + 90152*r - 25
What is the v'th term of 2592, 6401, 10210, 14019, 17828?
3809*v - 1217
What is the l'th term of -92, -582, -1930, -4574, -8952, -15502, -24662?
-73*l**3 + 9*l**2 - 6*l - 22
What is the g'th term of -6262240, -6262259, -6262290, -6262333, -6262388?
-6*g**2 - g - 6262233
What is the d'th term of -7268, -7366, -7546, -7826, -8224, -8758?
-3*d**3 - 23*d**2 - 8*d - 7234
What is the w'th term of 789053, 1578125, 2367211, 3156317, 3945449, 4734613?
w**3 + w**2 + 789062*w - 11
What is the q'th term of -2413, -19400, -65501, -155272, -303269?
-2426*q**3 - q**2 - 2*q + 16
What is the p'th term of -2978, -3098, -3188, -3242, -3254, -3218, -3128, -2978?
p**3 + 9*p**2 - 154*p - 2834
What is the o'th term of 4256735, 4256880, 4257025?
145*o + 4256590
What is the a'th term of 582385, 1164785, 1747201, 2329639, 2912105?
a**3 + 2*a**2 + 582387*a - 5
What is the t'th term of 10345, 18337, 26333, 34333, 42337?
2*t**2 + 7986*t + 2357
What is the m'th term of -808, -2270, -4696, -8080, -12416, -17698?
m**3 - 488*m**2 - 5*m - 316
What is the d'th term of -5080, -20452, -46078, -81964, -128116, -184540, -251242, -328228?
-d**3 - 5121*d**2 - 2*d + 44
What is the q'th term of -811815, -1623634, -2435455, -3247278, -4059103, -4870930, -5682759?
-q**2 - 811816*q + 2
What is the u'th term of 372477, 1490566, 3354059, 5962962, 9317281, 13417022, 18262191?
u**3 + 372696*u**2 - 6*u - 214
What is the t'th term of -3270, -8601, -15992, -25443, -36954?
-1030*t**2 - 2241*t + 1
What is the s'th term of -18093, -18296, -18499, -18702?
-203*s - 17890
What is the h'th term of 112205, 112197, 112183, 112163, 112137, 112105, 112067?
-3*h**2 + h + 112207
What is the w'th term of 2752, 2311, 1874, 1441, 1012?
2*w**2 - 447*w + 3197
What is the o'th term of 24311096, 24311093, 24311090, 24311087, 24311084, 24311081?
-3*o + 24311099
What is the k'th term of 7934, 7665, 7430, 7247, 7134?
3*k**3 - k**2 - 287*k + 8219
What is the h'th term of -3466, -14080, -31764, -56518, -88342, -127236?
-3535*h**2 - 9*h + 78
What is the i'th term of 99590, 99628, 99666, 99704, 99742?
38*i + 99552
What is the j'th term of -40, 1499, 5764, 14147, 28040, 48835, 77924, 116699?
232*j**3 - 29*j**2 + 2*j - 245
What is the w'th term of -40742, -81540, -122338, -163136, -203934, -244732?
-40798*w + 56
What is the c'th term of 17218, 17199, 17180?
-19*c + 17237
What is the l'th term of 24613, 98669, 222123, 394981, 617249, 888933, 1210039?
l**3 + 24693*l**2 - 30*l - 51
What is the n'th term of -280662, -561383, -842104?
-280721*n + 59
What is the z'th term of 423055, 425587, 428119?
2532*z + 420523
What is the v'th term of -76995, -76107, -75219, -74331, -73443, -72555?
888*v - 77883
What is the z'th term of 40940, 39958, 37294, 32108, 23560, 10810, -6982?
-140*z**3 - z**2 + z + 41080
What is the p'th term of -53, 178, 715, 1582, 2803?
4*p**3 + 129*p**2 - 184*p - 2
What is the o'th term of -6946377, -6946369, -6946355, -6946335, -6946309?
3*o**2 - o - 6946379
What is the u'th term of -72458469, -72458473, -72458479, -72458487?
-u**2 - u - 72458467
What is the z'th term of -43724, -87590, -131456, -175322, -219188?
-43866*z + 142
What is the k'th term of 925907, 925891, 925871, 925847, 925819, 925787?
-2*k**2 - 10*k + 925919
What is the m'th term of 25602, 102499, 230656, 410079, 640774, 922747?
m**3 + 25624*m**2 + 18*m - 41
What is the w'th term of 8080888, 16161781, 24242674, 32323567, 40404460?
8080893*w - 5
What is the u'th term of -1673, -1775, -1967, -2249, -2621, -3083?
-45*u**2 + 33*u - 1661
What is the u'th term of -93244910, -93244909, -93244908, -93244907, -93244906?
u - 93244911
What is the b'th term of -6813, -6887, -7091, -7491, -8153?
-11*b**3 + b**2 - 6803
What is the c'th term of 1070398, 2140804, 3211210?
1070406*c - 8
What is the d'th term of 19624, 19489, 19266, 18955, 18556?
-44*d**2 - 3*d + 19671
What is the p'th term of 51991, 97470, 142945, 188416, 233883?
-2*p**2 + 45485*p + 6508
What is the k'th term of -3623, -7186, -13125, -21440, -32131, -45198, -60641?
-1188*k**2 + k - 2436
What is the a'th term of 3408, 6703, 9890, 12981, 15988, 18923?
2*a**3 - 66*a**2 + 3479*a - 7
What is the s'th term of 17044706, 68178809, 153402314, 272715221?
17044701*s**2 + 5
What is the t'th term of 219, -2, -543, -1560, -3209, -5646?
-26*t**3 - 4*t**2 - 27*t + 276
What is the m'th term of 38603934, 38603932, 38603930, 38603928, 38603926?
-2*m + 38603936
What is the k'th term of -2362325, -2362322, -2362317, -2362310?
k**2 - 2362326
What is the u'th term of -1006225, -1006210, -1006195, -1006180, -1006165?
15*u - 1006240
What is the u'th term of -1784314, -1784305, -1784296?
9*u - 1784323
What is the z'th term of 1500597, 3001630, 4502663, 6003696?
1501033*z - 436
What is the r'th term of -9944, -19436, -28926, -38414?
r**2 - 9495*r - 450
What is the f'th term of 2101, 4154, 6097, 7876, 9437, 10726, 11689, 12272?
-9*f**3 - f**2 + 2119*f - 8
What is the n'th term of -10767, -21858, -33291, -45066, -57183, -69642, -82443?
-171*n**2 - 10578*n - 18
What is the k'th term of 8203, 60939, 204079, 482827, 942387, 1627963?
7534*k**3 - 2*k**2 + 4*k + 667
What is the l'th term of -1630, -1585, -1446, -1159, -670?
9*l**3 - 7*l**2 + 3*l - 1635
What is the f'th term of 8528, 9152, 9814, 10532, 11324, 12208, 13202, 14324?
3*f**3 + f**2 + 600*f + 7924
What is the y'th term of 1266, 5109, 11494, 20403, 31818, 45721, 62094, 80919?
-3*y**3 + 1289*y**2 - 3*y - 17
What is the c'th term of 3019798, 12079388, 27178706, 48317752, 75496526, 108715028?
3019864*c**2 - 2*c - 64
What is the p'th term of -349237176, -698474355, -1047711538, -1396948725?
-2*p**2 - 349237173*p - 1
What is the q'th term of -9087, -1864, 5355, 12570, 19781?
-2*q**2 + 7229*q - 16314
What is the x'th term of -798534, -798479, -798330, -798039, -797558, -796839?
8*x**3 - x**2 + 2*x - 798543
What is the i'th term of -1436, -8126, -19286, -34922, -55040, -79646, -108746?
-i**3 - 2229*i**2 + 4*i + 790
What is the f'th term of 231342785, 462685571, 69402835
|
{
"pile_set_name": "DM Mathematics"
}
|
give p.
-2
Rearrange 0*f**3 - 2*f - 189*f**4 + 137*f**4 - 7 + 0*f**3 - f**3 to the form t*f + k + b*f**4 + u*f**2 + z*f**3 and give t.
-2
Express -4*o - 2*o**4 + 6*o - 54*o**2 + 44*o**2 + 3*o as n*o**2 + d*o**3 + s + q*o**4 + f*o and give n.
-10
Rearrange 262*g**2 - 4*g + 4*g - 475*g**2 to the form i + d*g**2 + n*g and give d.
-213
Express 2*r - 4*r + 1 - 2*r + r**2 - 27*r**2 + 2*r in the form h*r**2 + f*r + p and give f.
-2
Express 350 + 7*z - 367 + 0*z as u*z + f and give f.
-17
Rearrange (1 - 6 + 6)*((2 - 4*g - 2)*(2 - 1 + 0) - 3*g - 3*g + 4*g + (5*g - 3*g - 6*g)*(2 - 2 - 1)) to b*g + k and give b.
-2
Express (-2*y + 4*y - 3*y)*(-1 + 2 - 2) + 12*y - 5*y + 18*y + (-5 - 2 + 5)*(0*y + 0*y + y) + 4*y - 2*y + y in the form u + f*y and give f.
27
Rearrange ((-c**2 + 4*c**2 - 4*c**2)*(0 + 0 + 2) + 3*c**2 + 3*c**2 - 3*c**2)*(3 - c - 3)*(5 - 7 + 7) to the form k + q*c**2 + v*c**3 + p*c and give p.
0
Express 85*z - 27*z - 601*z in the form r + q*z and give q.
-543
Rearrange 2 - 23*f + 17*f + 3*f + 36*f to the form u + o*f and give u.
2
Rearrange (-656*v + 2*v**2 - 60758 - v**2 + 60757)*(0*v + 3*v - v) to the form b*v**3 + t*v**2 + x + a*v and give b.
2
Express 10*k**2 + 927*k**3 - 925*k**3 + 106*k**2 as j*k + x*k**2 + b*k**3 + n and give x.
116
Express -l**2 - 10*l**3 - 2 + 0 - 3*l**2 + 6*l**2 in the form d + r*l + b*l**2 + o*l**3 and give b.
2
Rearrange ((2*q + 1 - 1)*(4*q - 2*q - 4*q) - 3*q**2 + 6*q - 6*q)*(523 - 123*q**2 - 523) to the form r*q**2 + k*q**3 + m*q + z*q**4 + v and give z.
861
Rearrange ((-1 - 4 + 7)*(-8 - 15 + 24) - 3 - 6 + 2)*(4*c**3 - 3*c**3 + 2*c**3)*(-4 - 1 + c + 4) to the form h*c**4 + q*c**3 + y + w*c**2 + o*c and give q.
15
Rearrange (-2*j**2 + 0*j**2 + 4*j**2)*(-3 + 2 + 2)*(1 + 1 + 0)*(3 - 3 + 2) to the form q*j + c*j**2 + i and give c.
8
Express i + 56*i - 9*i + (4*i - 4*i + 2*i)*(1 - 4 + 1) + (-1 + 2*i + 1)*(1 - 4 + 5) in the form r*i + y and give r.
48
Express (-w - w + 0*w)*(0*w + 2*w - 4*w + (2 - 1 + 0)*(-4*w + 2*w + 3*w) + 4577 - 4577 + 700*w) as x + f*w + g*w**2 and give g.
-1398
Express (-2*v**2 + 5*v**2 + 2*v**2)*(-427 + 26 - 130) in the form k + d*v + j*v**2 and give j.
-2655
Express 2*m**4 + 268*m**2 - 1 - 454*m**2 - 2*m**3 - 8*m**4 + 219*m**2 in the form r + d*m + l*m**2 + y*m**4 + n*m**3 and give l.
33
Express -3 + 5*u**2 + 16130*u**3 - 16130*u**3 + 20*u - 2*u**4 in the form r*u + k*u**2 + n*u**4 + x*u**3 + w and give w.
-3
Rearrange 4 + 48*f - 49*f + 7 + (4*f - 5 + 5)*(4 - 1 - 5) to h*f + p and give p.
11
Express 2*o - 3*o**2 - 88*o**3 + 78*o**3 + o**2 - 5 in the form r*o**2 + b + v*o + h*o**3 and give r.
-2
Express ((-1 + 1 + 1)*(3 - l - 3) - l + 0 - 4*l - 2)*(125 + 68 + 375) in the form c*l + v and give c.
-3408
Rearrange (3*o**3 + 0*o**2 + 0*o**2)*(-108*o + 0 + 5 + 107*o) to the form s*o**3 + w*o + u*o**2 + b + f*o**4 and give w.
0
Rearrange -4427*g**2 + 5044*g**2 + 0*g + 2*g - 2*g to c*g**2 + w + p*g and give c.
617
Express (4*l**2 - l**2 - 4*l**2)*(-203 - 12*l + 372 - 204) in the form r*l**3 + z*l + t*l**2 + y and give t.
35
Express -209*k - 222*k - 470*k in the form d + o*k and give d.
0
Rearrange 3 - 125*h - 131*h + 254*h to the form w + n*h and give n.
-2
Rearrange -65 - 69 + 403*s + 134 + 2*s to the form c*s + i and give c.
405
Express 1344 - 264*v + 1346 - 2689 in the form u*v + y and give u.
-264
Express d - 3*d + 387*d**2 - 388*d**2 + 1 as f*d**2 + w*d + t and give w.
-2
Rearrange -5*o + 0*o + 45 + 7*o + 9*o - 5*o to the form f + z*o and give z.
6
Express 6*b**2 + 7*b**3 - b**4 - 19*b**2 + 8*b**2 as p*b**3 + t + k*b**2 + g*b**4 + s*b and give p.
7
Express (3*d**2 + 0*d**2 - d**2)*(199*d - 58*d + 394*d) as i*d**3 + j + w*d**2 + b*d and give b.
0
Rearrange -26 + 18 + 6 + 139*k**2 to the form a*k + u + o*k**2 and give u.
-2
Express y**2 + 0*y + 3 - 22*y**4 - 1 - 4*y + 20*y**4 in the form b*y**4 + d*y**3 + q*y + p + i*y**2 and give p.
2
Rearrange (15 - 15 - 19*h**2)*(-22*h - 15*h - 29 + 36*h) + (-4*h**3 + h**3 + h**3)*(0 + 1 + 0) to m*h + w + q*h**3 + y*h**2 and give q.
17
Express 41 + w - 106 + 47 as x + d*w and give x.
-18
Rearrange -241*q**3 - 3*q**2 + q**2 - 4*q**2 + 222*q**3 to n*q + o*q**2 + w + l*q**3 and give o.
-6
Express (2*o - 4*o + 3*o)*(2*o**3 + 0*o**3 - o**3) + (2 + 4 - 12)*(4*o**4 + 2*o**4 + 0*o**4) in the form d*o**2 + b*o**3 + a*o**4 + y + z*o and give a.
-35
Express 2*o + 72*o + 230*o**2 - 768*o**2 - 74*o in the form g + f*o**2 + t*o and give f.
-538
Rearrange 13*c + 7 - 7*c + 3*c to b + y*c and give b.
7
Rearrange 6 + 3*i**4 + 12*i**2 - i**4 - 4 - 11*i**2 + 9*i to the form c + h*i**3 + j*i**4 + p*i + q*i**2 and give p.
9
Express 122 + 126 - 1538*o - 248 in the form i + s*o and give s.
-1538
Rearrange -g + 28*g**2 - 29*g**2 + 2*g + g to r*g + c*g**2 + j and give r.
2
Express i**3 + 493*i - 332 + 497*i - 990*i as a*i**3 + w*i**2 + b + d*i and give b.
-332
Rearrange (-3*a + a + 3*a)*(-62 + 29 + 34 - 227*a) to the form b*a**2 + s + y*a and give b.
-227
Express -15*z**3 + 3*z**3 - 3*z**2 + 90*z - 91*z as m + l*z**3 + f*z + s*z**2 and give l.
-12
Express -158728 + 158729 - 3*a + 6*a**3 - a**4 + 5*a**3 in the form k + b*a**2 + m*a**3 + z*a**4 + r*a and give b.
0
Express -164 - 117 + 275 + 29*o in the form h*o + l and give h.
29
Express -4*u**3 + 719 + u**3 - 708 - 2*u**2 + 4*u + 3*u**3 - u**4 as y*u**3 + o + t*u**2 + q*u**4 + x*u and give x.
4
Express (65 - 22 + 20 + (1 - 1 + 1)*(0 + 2 - 1))*(-x**3 + x**3 - 2*x**3) in the form b*x**3 + o*x + n*x**2 + r and give b.
-128
Express (-2*f - f + 5*f)*((-2 + 1 - 3)*(-2 + 1 - 1) + 2 + 2 - 2 - 3 + 5 - 3 + (-1 - 1 + 1)*(3 - 1 - 4)) in the form d*f + o and give d.
22
Express (-2 + 10*o + o**3 - 10*o)*(o + 3*o + 0*o + (3 + 2 + 1)*(4*o + 3*o - 5*o)) in the form a*o**4 + f*o + u*o**2 + g*o**3 + b and give a.
16
Express -2*r**2 - 5*r**2 + 5*r**2 + (-5*r + 3*r - 3*r)*(1 + 2 + 2)*(5 + 2*r - 7 + 12) as b*r**2 + w*r + o and give b.
-52
Rearrange 1517*t - 764*t - 4*t**2 - 757*t to w*t**2 + d + m*t and give w.
-4
Rearrange -6*n - 2416 - 14*n + 2410 to r*n + y and give r.
-20
Express (-116*h - 427*h - 110*h + (-3 + 0 + 1)*(-h + 2*h + h))*(2 - 6 + 2) in the form x + q*h and give q.
1314
Express (-39 + 5 + 2)*(3 - 3 - 2 + (-2 - 1 + 2)*(-2 + 1 + 3))*(3*c + 0*c - 2*c) in the form d*c + q and give d.
128
Express -5004*m + 9983*m - 4979*m - 890 - 3*m**3 + (-5*m**2 - m**2 + 4*m**2)*(0*m - 3*m + m) in the form j + a*m**3 + c*m**2 + t*m and give j.
-890
Express (-15*q**2 - q**2 + q**2 + (0*q + 2*q - 3*q)*(3*q + 2*q - 3*q))*(-3 - 3*q + 0 + 1) in the form i + u*q + b*q**3 + f*q**2 and give f.
34
Rearrange (5*v - 3*v - 4*v)*(-92415 + 92415 - 498*v)*(2 - 3 + 0)*(-2 + 2*v + 2) to the form u*v**2 + o*v**3 + r + s*v and give o.
-1992
Rearrange f**2 - 4*f**2 - f**2 + (3 + 0 - 5)*(f**2 + 0*f**2 + 0*f**2) + 0*f + 0*f - 3*f**2 - 2*f - f**2 + 18*f**2 + f to i*f + b*f**2 + p and give b.
8
Express -28*v**2 - 88 - 7*v + 176 - 89 as l*v**2 + o + p*v and give p.
-7
Rearrange -4*q**3 - 4*q**3 - 5*q**3 - 17 to the form p*q + m + h*q**2 + b*q**3 and give b.
-13
Express -3*w - w + w + (0*w + 4*w - 3*w)*((-3 + 3 + 1)*(-22 + 0 + 6) + 1 - 2 + 3) in the form s + z*w and give z.
-17
Express -201*p**2 + 2 + 201*p**2 + p**3 - 2*p as o + y*p + k*p**2 + s*p**3 and give o.
2
Rearrange 74 + 71 + 859*q + 80 - 225 to the form y + l*q and give l.
859
Rearrange -2*w**2 - 3*w**2 - w**2 + (2 + 3 + 5)*(-8*w**2 + 4*w - 6*w + 7*w**2) to i + z*w + f*w**2 and give z.
-20
Rearrange (-2*b - 3*b - 3*b)*(0*b - 3*b + 4*b + (2 - 2 + 2*b)*(-1 + 1 + 2) + 70 - 12*b - 70) + 3*b**2 - 3*b**2 - 4*b**2 to the form x*b + r + p*b**2 and give p.
52
Rearrange -83*r**2 - 289*r**2 + 106*r**2 - 2 + 0*r - 2*r to n + x*r**2 + g*r and give x.
-266
Express -2*h**2 + h**3 + 0*h**3 + 4*h**2 + (-2*h + 2*h - 3*h)*(-6*h - 142 + 142)*(-3*h + 3*h + h) as j*h + x + f*h**3 + u*h**2 and give u.
2
Express (-3*j**3 - 4*j**3 + 3*j**3)*(25 - 21 - 22) as b*j + n*j**3 + q + y*j**2 and give n.
72
Express (-4*r**2 - 6*r**2 + 4*r**2)*(-r - 4*r + 3*r + (-2 + 2 - 5*r)*(-3 - 1 + 2)) in the form y*r + a*r**2 + z + b*r**3 and give b.
-48
Rearrange (25*o**2 - 14*o + 14*o)*(2*o**2 - 3*o**2 - o**2) + (2*o + 0*o - o)*(4*o**3 + 0*o**3 - o**3) to n*o**3 + y*o + s + l*o**2 + q*o**4 and give q.
-47
Rearrange -9*h - 6 + 8 + 4 + 2 + 0*h + h**3 to the form f*h + j*h**3
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{
"pile_set_name": "DM Mathematics"
}
|
899
Let b(a) = -59*a**2. Let c(f) be the first derivative of -13*f**3/3 + 708. Give c(b(y)).
-45253*y**4
Suppose 0 = 2*l + 3*d - 0*d - 1, 3*d + 1 = -l. Let v(o) = 146*o**2 - 12 - 148*o**l + 12. Let x(y) = 63*y. Determine x(v(r)).
-126*r**2
Let z(c) = -97*c - 5. Let d(h) = 7*h + 30. Let j(i) = 25*i + 105. Let n(o) = 7*d(o) - 2*j(o). Give z(n(w)).
97*w - 5
Let s(x) = -3*x**2 - x. Let l(n) = -2*n - 202596. What is l(s(q))?
6*q**2 + 2*q - 202596
Let u(t) = 9*t. Let i(y) = -7*y - 14*y + 0*y - 865 + 867. Give i(u(z)).
-189*z + 2
Let i(v) = -3*v**2. Let s(n) be the third derivative of -26*n**4/3 + 22*n**2 - 6*n. Calculate i(s(m)).
-129792*m**2
Suppose 0 = 2*t - 9 + 3, r - 5*t + 10 = 0. Let j(y) = -5 - 5*y + 6*y + r. Let g(p) = -10*p**2 - p**2 + 6*p**2 - p**2 + 8*p**2. Calculate j(g(q)).
2*q**2
Let h(w) = 16*w + 111. Let a(d) = -2*d**2 - d + 2349. What is h(a(x))?
-32*x**2 - 16*x + 37695
Let c(f) = 2*f. Let h(b) = -b**2 - b. Let p(w) = 63*w**2 - 2*w - 1. Let u(i) = -12*i - 61. Let s be u(-5). Let t(a) = s*p(a) + 2*h(a). Give c(t(n)).
-130*n**2 + 2
Let j(f) = -2*f**2. Let w(h) be the second derivative of -55*h**4/3 + 2*h**2 + 73*h - 6. What is w(j(z))?
-880*z**4 + 4
Let z(u) = -2*u**2. Let d(b) be the third derivative of 5*b**4/24 + 97*b**3/3 - 871*b**2. Determine z(d(f)).
-50*f**2 - 3880*f - 75272
Let w(c) = -4616841*c - 2. Let t(n) = -5*n. Calculate t(w(d)).
23084205*d + 10
Let f(b) = -b**3 + 4*b**2 + 5*b + 7. Let i be f(-3). Suppose 173 + i = 4*m. Let g(w) = 111*w - 52*w - m*w. Let a(p) = 2*p**2. Determine g(a(l)).
4*l**2
Let n(g) be the third derivative of 31*g**4/24 + 3304*g**2. Let q(r) = 2*r + r**2 - 2*r. Determine n(q(d)).
31*d**2
Let q = -30 - -35. Let t = q + -9. Let i(y) = 3*y + 4. Let c(u) = -6*u - 7. Let d(z) = t*c(z) - 7*i(z). Let o(w) = 5*w**2. Determine o(d(x)).
45*x**2
Let q(l) = 3*l. Let f(y) = 17*y**2 + 32*y - 6. Let o(v) = 68*v**2 + 120*v - 22. Let j(b) = -15*f(b) + 4*o(b). Give q(j(n)).
51*n**2 + 6
Let a(v) = -509*v. Let d(q) = -q - 87148. Calculate a(d(u)).
509*u + 44358332
Let i(v) = -36*v**2. Let j(n) = -48*n - 27. Let q(f) = -5*f - 3. Let k(x) = j(x) - 9*q(x). Calculate i(k(h)).
-324*h**2
Let d(g) = -3*g - 6486. Let n(m) = 2624*m - 2. Give d(n(a)).
-7872*a - 6480
Let d(c) = -2*c**2. Let h(b) = -316*b**2 + 362*b**2 - 181*b**2. Give d(h(k)).
-36450*k**4
Let x(z) = -30*z. Let s(y) = 61*y - 40. Let d(l) = 4028*l - 2650. Let b(j) = 4*d(j) - 265*s(j). Determine x(b(n)).
1590*n
Let f(n) = 5*n + 1709. Let z(r) = -220*r**2 + 2*r. Calculate f(z(b)).
-1100*b**2 + 10*b + 1709
Let g(q) be the first derivative of -637*q**2 + 1167. Let b(x) = -x**2. Give g(b(w)).
1274*w**2
Let m(z) = 2856*z**2 - 410*z - 2. Let j(v) = v. What is j(m(b))?
2856*b**2 - 410*b - 2
Let b(h) = 420*h. Let a(k) = -69748*k**2 - 2*k. Determine b(a(u)).
-29294160*u**2 - 840*u
Let p(w) = -2*w**2 - w. Let x(j) = 357*j**2 + 187*j. Let t(k) = -748*p(k) - 4*x(k). Let n(v) = -25*v**2. Calculate t(n(s)).
42500*s**4
Let i(d) be the first derivative of -7*d**3/3 + 2546. Let g(m) = 546*m**2. Give i(g(b)).
-2086812*b**4
Let q(b) = 40*b**2 + 96459517*b - 96459517*b. Let l(r) = 2*r**2. What is q(l(v))?
160*v**4
Let w(c) = c. Let t(g) be the second derivative of 0*g**3 + 0 - 1/6*g**5 + 36*g + 0*g**4 - 39/2*g**2. Let a(b) be the first derivative of t(b). What is a(w(f))?
-10*f**2
Let b(s) = -13106619*s**2. Let y(x) = -6*x**2. Calculate y(b(q)).
-1030700769666966*q**4
Let p(c) = -4*c**2 - c. Let f(k) = -21576*k. Calculate f(p(h)).
86304*h**2 + 21576*h
Let y(q) be the first derivative of 11*q**2 - 1379. Let w(v) = -19*v. Calculate y(w(r)).
-418*r
Let u(a) = 63*a**2 - 16717. Let l(d) = -d. Give u(l(b)).
63*b**2 - 16717
Let q(n) = -12*n. Let u(a) = a**2 - 2*a + 135875. Give q(u(v)).
-12*v**2 + 24*v - 1630500
Let h(l) = -3*l. Let r(k) = -60371*k**2 + 362*k. Determine h(r(t)).
181113*t**2 - 1086*t
Let l(y) = -24*y - 154. Let z(b) = -15*b**2 + 4*b. Give z(l(a)).
-8640*a**2 - 110976*a - 356356
Let l(q) = 2*q**2 + 85*q. Let a(r) = -108993*r. Determine a(l(w)).
-217986*w**2 - 9264405*w
Let o(j) = -726*j + 1459*j - 727*j. Let z(k) = -76*k**2. Determine z(o(h)).
-2736*h**2
Let g(z) = 3*z - 623. Let d(c) = 19*c - 10. What is g(d(o))?
57*o - 653
Let o be -6*(8/10)/(30/575). Let h = o - -170. Let y(m) = 40 - h - 2*m**2 + 38. Let z(p) = -2*p. What is y(z(f))?
-8*f**2
Let r(y) = 309*y**2 - 4. Let m(o) be the first derivative of -3*o**2/2 - 1836. Give m(r(d)).
-927*d**2 + 12
Let d(g) = -4*g + 445. Let y(r) = -732*r + 731*r + 2 - 2. Determine y(d(l)).
4*l - 445
Let z(u) = u**2 + 120. Let h(y) = 115693*y. Give z(h(a)).
13384870249*a**2 + 120
Let i(k) = 2*k - 310. Let l(j) = 98*j**2 - 9. Determine l(i(r)).
392*r**2 - 121520*r + 9417791
Let j(o) = 43*o + 45*o - 183*o + 50*o + 52*o + 2. Let d(a) = -6*a - 1. Let u(n) = 7*d(n) + 5*j(n). Let p(q) = 5*q**2. Give p(u(m)).
245*m**2 - 210*m + 45
Let s(x) = 5079*x**2 + 13*x - 33*x + 7*x + 13*x. Let z(h) = 2*h. Calculate z(s(p)).
10158*p**2
Let i(p) = -4*p - 5*p - 15060 + 15060. Let j(l) = 60*l**2. Give j(i(z)).
4860*z**2
Let g(i) = -9 + 25 + 2*i**2 + 6*i**2 - 16. Let f(x) = -3*x**2 - 11. What is f(g(m))?
-192*m**4 - 11
Let j(u) be the third derivative of -u**5/60 - 137*u**2. Let b(k) be the first derivative of 31*k**3 + 120. Calculate j(b(h)).
-8649*h**4
Let y(l) = l**2. Let x(n) = -446538*n. Determine y(x(t)).
199396185444*t**2
Let s(w) = 204*w + 3. Let d(b) = 711*b + 10. Let l(o) = -2*d(o) + 7*s(o). Let x(f) = 7*f**2. Calculate x(l(t)).
252*t**2 + 84*t + 7
Let y(x) = -241*x. Let g(w) = 3101*w**2 + 12*w + 7. Determine g(y(j)).
180109181*j**2 - 2892*j + 7
Let d(i) = -121 + 7*i - 3*i - i + 121. Let n(k) = -28*k - 1. What is n(d(f))?
-84*f - 1
Let x(t) = -1210702*t. Let b(o) = 20*o**2. Determine x(b(h)).
-24214040*h**2
Let j(b) = 3*b. Let w(k) = -174*k + 440*k - 573*k**2 - 266*k + 5497*k**2. Determine j(w(g)).
14772*g**2
Let s(o) = 11*o + 5. Let r(u) = 9*u + 6. Let k(g) = 63*g + 42. Let p(l) = 4*k(l) - 27*r(l). Let q(i) = 5*p(i) - 6*s(i). Let j(x) = 2*x. What is j(q(z))?
-42*z
Let s(y) = -10*y. Let a = 269 + -264. Let k(o) = o**2 - o - 1. Let r(d) = -5*d - 5. Let h(t) = a*k(t) - r(t). Determine s(h(l)).
-50*l**2
Let j(d) = 7*d + 4. Let y(h) = 7*h + 3. Let x = -67 + 113. Let g = -43 + x. Let s(o) = g*j(o) - 4*y(o). Let k(t) = 3*t. What is s(k(b))?
-21*b
Let x(m) = 77*m. Let v(q) = -1775*q**2 - 63*q. What is v(x(y))?
-10523975*y**2 - 4851*y
Let o(l) = 5*l**2. Let r(w) = 2*w - 19 - 12*w + 16*w + 19 + 55. Calculate r(o(x)).
30*x**2 + 55
Let n(r) = -r. Suppose 4*z = -5*b + 254, -5*z + 3*z + 52 = b. Suppose -7*y + b = 3*y. Let p(d) = y*d - 4*d - 4*d + 0*d. Give p(n(l)).
3*l
Let n(u) = -678*u. Let l(y) = -15142*y**2. What is n(l(r))?
10266276*r**2
Let j(u) = 68*u - 2. Let k(r) = -372*r + 11. Let z(n) = 22*j(n) + 4*k(n). Let a(x) = 62*x**2. Determine z(a(g)).
496*g**2
Let g(p) = 12*p**2. Let b(j) = -5*j + 3. Let z(r) = -14*r + 21. Let l(h) = -3*b(h) + z(h). What is l(g(x))?
12*x**2 + 12
Let c(l) be the third derivative of l**5/60 + 2251*l**2 + 1. Let f be -3*1*4/(-3). Let v(y) = -3 + y**2 - 5*y**2 + f. Calculate c(v(s)).
16*s**4 - 8*s**2 + 1
Suppose -32*t + 674 = -3518. Let q(f) = -131 + 39*f - 6*f + 30*f + t. Let n(v) = 2*v**2. Calculate n(q(a)).
7938*a**2
Let r(y) = 60*y**2. Let p(i) be the third derivative of 3*i**5/10 - 127*i**2 + 7*i - 2. What is p(r(t))?
64800*t**4
Let m(v) = -12*v**2 + 23*v**2 + 25*v**2 - 103*v**2 + 40*v**2. Let s(l) = 2*l**2 - 90. Calculate s(m(r)).
1458*r**4 - 90
Let y(s) = 14*s**2 - 6*s. Let v(k) = -110960*k. Determine v(y(d)).
-1553440*d**2 + 665760*d
Let t = -254 - -260. Let o(d) = 3*d + t*d + 3*d - 15*d. Let r(g) = 18*g. Let c(w) = w. Let l(z) = 5*c(z) - r(z). Calculate o(l(y)).
39*y
Let b(z) = 2*z**2 + 10*z - 3120. Let i(m) = -115*m. What is i(b(q))?
-230*q**2 - 1150*q + 358800
Let j(u) = -u**2. Let d(i) = -89*i - 2. Let z(m) be the first derivative of 89*m**2/2 + 4*m - 62. Let t(r) = 3*d(r) + 2*z(r). Determine j(t(a)).
-7921*a**2 + 356*a - 4
Let i(c) = 11*c**2 + 5*c. Let z(s) = 99*s**2 + 44*s. Let l(n) = -44*i(n) + 5*z(n). Let v = 14 + -12. Let t(a) = 4*a**2 - 3*a**2 - v*a**2. Calculate t(l(b)).
-121*b**4
Let x(w) = 2*w**2. Let i be (25/15)/((-2)/(-6)). Let a be ((-10)/2 + i)/(-1). Let p(y) = -3*y + 56 + a*y - 56. What is p(x(f))?
-6*f**2
L
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{
"pile_set_name": "DM Mathematics"
}
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- 19/j?
56
Let u(q) = q + 216. Calculate the least common multiple of 77 and u(22).
2618
Let x = 4393 + -48362/11. Let v = x - -863/110. What is the common denominator of -69/4 and v?
20
Suppose 0 = -v + 4*v + v. Find the common denominator of -139/18 and 3 + (69/8 - v).
72
Suppose g + 3 = 4. Let r be g/(-7) - (-57805)/7000. Let a = 63/50 + r. What is the common denominator of a and -53/6?
24
Let w = 8 + 3. Let x(f) = 6*f - 17*f - 12*f**2 + w*f**2. What is the lowest common multiple of 22 and x(-9)?
198
Let y be 168634/20 - (0 - 1). Let r = y + -8443. Let w = 2/2747 + 156539/54940. What is the common denominator of w and r?
20
Calculate the least common multiple of ((-1)/(-2) - 2)*-28 and 42.
42
Calculate the common denominator of 3/((-495)/365) - (-1 + -3) and -41/88.
264
Let l = 1925 + -11681/6. Find the common denominator of l and ((-12)/(-14))/((-10)/98).
30
Suppose 3 = -3*m - 3. Let h be (m - -1)*(2 - -1). Calculate the lowest common multiple of 10/h*(0 - 3) and 10.
10
Let w(c) = -3*c - 15. Let u = -1 + -7. Let g be w(u). Suppose d = 2 + g. Calculate the least common multiple of d and 3.
33
Find the common denominator of 502/10 + 19/(-95) and 82/(-6)*(-6)/(-8).
4
Let d = -30 - -26. Find the common denominator of (-363)/2*(d + (-59)/(-15)) and 1/(-4) + (-150)/(-56).
70
Suppose 0 = 4*d - 5*w - 66, -5*d + 2*d - 4*w = -34. Suppose z - 2 = d. What is the least common multiple of 20 and z?
80
Let m = -44 + 46. Suppose 0*a - 3*x = -2*a + 47, -m*x = 4*a - 86. What is the lowest common multiple of 16 and a?
176
Let r(m) = -m**2 - 3*m - 2. Let z(v) = v. Let a(y) = -r(y) + 3*z(y). Let h(t) = -t**2 + 9*t + 22. What is the lowest common multiple of h(9) and a(-8)?
198
Let d = 589 + -28265/48. What is the common denominator of d and 26/9?
144
Let f = 2473/7210 + -78/103. What is the common denominator of f and -13/105?
210
Suppose -5*q - k + 55 = 0, 3*q - k - 3*k = 10. Let y(o) = -2*o**2 - 9*o + 10. Let u be y(-7). Let p = u + 37. What is the smallest common multiple of q and p?
60
Suppose -41*q = -55*q + 686. Calculate the least common multiple of q and 294.
294
Let r(i) = -i**3 + 7*i**2 + 3. Let w be r(7). Calculate the common denominator of (w/(-60))/(1/114) and ((-4)/(-16))/(-1) + 316/(-48).
30
Let m = -682 + 692. Suppose -b + 3*r + 1 = 0, 3*b + 2 - 19 = 2*r. Let g = b + -6. Calculate the smallest common multiple of m and g.
10
Suppose 6*q - 4*q = 12. Calculate the least common multiple of q and (-12)/24 - 26/(-4).
6
Let f = -96322 - -22154117/230. Let s = -1443/115 + f. What is the common denominator of s and 5/6?
30
Suppose 0 = 18*r + 108, 94 = b - 3*r - r. Suppose 0*f - 8 = -f. Calculate the least common multiple of b and f.
280
Suppose -320 = 5*u + 5*w, -6*w = -w. Let y = u + 9. Calculate the common denominator of y/(-28) - (-6)/24 and 63/4.
28
Calculate the common denominator of 49/12 and 2/19 - 1/((-16416)/(-17992)).
108
Suppose c + 20 = 6*c. Suppose -3*q = -c*a + 32, -4*q + 4 - 30 = 3*a. Calculate the common denominator of -91/4 and 2/(1/(36/q)).
4
Let y = 8113 - 925025/114. Find the common denominator of -63/95 and y.
570
Let d(u) = -u**2 - 9*u - 2. Let s be d(-8). Suppose 4*l - s = 2. Suppose 3 = -j + l*f, -2*j + f + 9 = 2*j. What is the lowest common multiple of 14 and j?
42
Let h(r) = 6*r + 23. Let c be h(-5). Let f(n) be the first derivative of -n**3/3 - 4*n**2 - n - 1. What is the lowest common multiple of f(c) and 9?
18
Let w(b) = 28*b - 27*b + b**2 - 4 + b**3 + 4*b**2. Calculate the smallest common multiple of 8 and w(-2).
24
Suppose -6*x - 127 - 29 = 0. Calculate the smallest common multiple of (-26)/(-91) - x/7 and 4.
4
Let f = -134 + 142. Calculate the smallest common multiple of f and 24.
24
Let r(q) be the third derivative of q**5/60 + q**4/12 + 11*q**2. What is the smallest common multiple of 9 and r(-5)?
45
Suppose -31 = -6*o + 17. Suppose 2*j = -2*j + o. Suppose j*h - 5*h + 33 = 0. What is the least common multiple of h and 6?
66
Suppose 22*k - 21*k - 18 = 0. Calculate the smallest common multiple of k and 8.
72
Suppose 23 + 5 = 7*r. Suppose -g + 3*z - 5 - 2 = 0, 0 = g - 5*z + 17. What is the least common multiple of r and g?
8
Suppose -10*d + 1038 = -412. Calculate the lowest common multiple of d and 1.
145
Suppose -v + 201 = 195. What is the smallest common multiple of v and 10?
30
Let z = -100 - -491/6. What is the common denominator of (-134)/5*(-2)/(-8) and z?
30
Let k(s) = s**3. Let z be k(1). Suppose -2*c - 4*q - 10 = 0, z = 2*q + 9. Calculate the smallest common multiple of 4 and c/(-2) - 299/(-26).
20
Suppose 2*m + 5522 + 6606 = 0. Let t = 133381/22 + m. Find the common denominator of t and 31/26.
286
Let m = -5 - -5. Let l be 19 - (m + 6/(-2)). Suppose -3*n - 4*r = -26, -4*r - l = -n + 8. Calculate the least common multiple of 16 and n.
112
Let s = 16536299475 + -1190631994927/72. Let l = -256016 - s. Let t = l - -52/9. Find the common denominator of t and 83/18.
72
Suppose 0 = 9*p - 5*p. Suppose 0 = 3*q + 4*g - 3245 - 1349, p = 2*q - 2*g - 3072. Find the common denominator of 103/12 and (-6)/27 - q/144.
24
Let v = -2311/5 + 41393/90. What is the common denominator of v and -13/18?
18
Let d(k) = 4*k - 4. Let t be d(-11). Let a = t - -54. What is the least common multiple of a and 11?
66
Let f = 4169/8 + -513. What is the common denominator of 1/16*4*1 and f?
8
Let j be ((-977892)/216)/(4/(-6)). Let c = -6801 + j. What is the common denominator of -27/16 and c?
48
Let t = -7 - -6. Find the common denominator of 1/(t/(201/24)) and 2/7 + 614/(-42).
24
Let t = 34 + -18. Calculate the smallest common multiple of (-114)/(-10) + (-3 - 180/(-50)) and t.
48
Suppose 65*w - 71*w = -564. What is the lowest common multiple of w and 9?
846
Let k = 133/8 + -307/24. Find the common denominator of 2 + 590/(-84) - -2 and k.
42
Let r(y) = y**2 - y + 2. Let w be r(-2). Calculate the common denominator of (-6)/w + 693/42 and 17/20.
20
Let y be (-5562)/15 - 1/5. What is the common denominator of (y/147)/((-2)/(-6)) and 1/(-4) + 83/(-4)?
7
Let m be (0/(-3))/1 + 3. Let o be -3 + (m - 2)*5. Suppose -12 - 50 = -o*t. What is the common denominator of t and 29/5?
5
Let c be (-712)/(-10) - 2/10. Let b be 2/4*(-1 - c). Find the common denominator of 79/16 and 130/b - 1 - 1.
144
Let c = 23 - 22. Suppose 0*p - 3*p + 186 = -3*k, 3*k - 114 = -2*p. What is the smallest common multiple of (6/(-15))/((-6)/p) and c?
4
Let v(h) = h**3 - 4*h**2 + 1. Let i = 855/46 - 478/23. Find the common denominator of v(3) and i.
46
Let t = 1437251/120 - 11977. Calculate the common denominator of t and 71/44.
1320
Let d(j) = -4*j - 4. Let l = 6 - 7. Let o be l/1 + -2 + -3. Calculate the least common multiple of d(o) and 2.
20
Suppose 14*m - 19*m + 150 = 0. What is the common denominator of 4 + -1 + (-149)/m and 65/6?
30
Suppose 0 = 2*o + 2*o + 3*d - 11, 3*d - 7 = -2*o. Suppose 50 = o*i - 7*u + 11*u, 4*i - 128 = -u. Calculate the smallest common multiple of i and 24.
264
What is the lowest common multiple of 8250/90*12/10 and 99?
990
Let o be 4/(-2) + (24 - -2). Suppose 5*m - 29 = -q, 4*q - m = 2*m + o. Let w = 3 + q. What is the smallest common multiple of 8 and w?
24
Let x(k) = k**2 - 24*k + 42. Let b be x(22). Find the common denominator of (-1365)/189*((-4)/6)/b and -47/18.
54
Let y = -52/7 + 7991/1071. Let m be (-1)/(4590/(-37029)) - -2. Let r = m + y. Calculate the common denominator of -20/3 and r.
30
Let r(i) = 17*i**2 + 2*i + 4. Let y(d) = d**2 - d - 1. Let b(t) = r(t) - y(t). What is the lowest common multiple of b(-1) and 56?
504
Let d be (-4)/(-51)*(-119916)/(-24). Let y = 30451/34 + d. Let n = y + -1333. What is the common denominator of n and 7/22?
22
Let v(t) = -t**3 - 9*t**2 + 23*t + 13. What is the least common multiple of v(-11) and 229?
458
Let l = -61 - -37. Suppose 5*x - 3283 = -1048. What is the common denominator of (-8)/12 + x/(-45) and l?
5
Let q = 6812/9 - 756. Calculate the common denominator of q and 1/30.
90
Suppose 35 = -5*d - 3*p, 4*p - p = 2*d + 14. Let r be 9 - (-4 - d)/(-3). What is the smallest common multiple of 9 and 12/(-30)*r/(-4)?
9
What is the smallest common multiple of 20 and 5607/12 - -4 - (-55)/(-44)?
940
Let x = 19204 - 19202. Suppose 2*v = -5*g, 17 = 5*g - v + 2. What is the smallest common multiple of g and x?
2
Let p
|
{
"pile_set_name": "DM Mathematics"
}
|
3, 600562, 1067637, 1668136, 2402047, 3269358?
-2*m**3 + 66736*m**2 - 3*m + 1
What is the x'th term of 1038266, 1038270, 1038274, 1038278, 1038282, 1038286?
4*x + 1038262
What is the m'th term of -15349, -17780, -20223, -22684, -25169, -27684, -30235?
-m**3 - 2424*m - 12924
What is the q'th term of 2889, 11322, 25373, 45042?
2809*q**2 + 6*q + 74
What is the k'th term of -22829, -16890, -10951, -5012?
5939*k - 28768
What is the t'th term of 2258019, 2258464, 2259205, 2260242, 2261575, 2263204?
148*t**2 + t + 2257870
What is the g'th term of 24356664, 24356665, 24356666, 24356667?
g + 24356663
What is the t'th term of -2658, -21426, -72476, -171984, -336126, -581078, -923016?
-2696*t**3 + 35*t**2 - t + 4
What is the n'th term of 1979, 16316, 55237, 131036, 256007, 442444, 702641, 1048892?
2049*n**3 - 2*n**2 - 68
What is the u'th term of -2856917, -2856951, -2856983, -2857013?
u**2 - 37*u - 2856881
What is the k'th term of 217987, 435930, 653873?
217943*k + 44
What is the q'th term of 6708710, 6708716, 6708722, 6708728, 6708734?
6*q + 6708704
What is the t'th term of -3164910, -6329860, -9494812, -12659766, -15824722, -18989680, -22154640?
-t**2 - 3164947*t + 38
What is the r'th term of -670153071, -670153073, -670153075, -670153077, -670153079?
-2*r - 670153069
What is the p'th term of 227718, 455436, 683152, 910866, 1138578, 1366288, 1593996?
-p**2 + 227721*p - 2
What is the c'th term of 4240, 8572, 12904, 17236?
4332*c - 92
What is the q'th term of 226462204, 452924407, 679386610, 905848813?
226462203*q + 1
What is the m'th term of -784, -827, -880, -943, -1016, -1099?
-5*m**2 - 28*m - 751
What is the j'th term of -1259154, -2518308, -3777462, -5036616, -6295770?
-1259154*j
What is the y'th term of -27676824, -27676823, -27676822?
y - 27676825
What is the q'th term of -229485, -459363, -689639, -920313, -1151385?
-199*q**2 - 229281*q - 5
What is the v'th term of 755692, 755736, 755818, 755944, 756120, 756352, 756646?
v**3 + 13*v**2 - 2*v + 755680
What is the u'th term of -429977336, -429977335, -429977334, -429977333, -429977332, -429977331?
u - 429977337
What is the m'th term of 1796, 1517, 1248, 995, 764, 561?
m**3 - m**2 - 283*m + 2079
What is the c'th term of 4427614, 4427597, 4427546, 4427443, 4427270, 4427009?
-3*c**3 + c**2 + c + 4427615
What is the i'th term of 371303, 742590, 1113877?
371287*i + 16
What is the g'th term of -6881017, -6880947, -6880881, -6880819, -6880761, -6880707?
-2*g**2 + 76*g - 6881091
What is the q'th term of 632679, 5061126, 17081195, 40488696, 79079439, 136649234?
632635*q**3 + q**2 - q + 44
What is the o'th term of 9070888, 18141773, 27212658, 36283543?
9070885*o + 3
What is the u'th term of -25954, -25906, -25766, -25492, -25042, -24374?
7*u**3 + 4*u**2 - 13*u - 25952
What is the w'th term of 32732, 130818, 294294, 523160, 817416?
32695*w**2 + w + 36
What is the o'th term of -23, -1093, -3219, -6401, -10639?
-528*o**2 + 514*o - 9
What is the l'th term of 738157, 1476306, 2214455?
738149*l + 8
What is the y'th term of -753157, -1506389, -2259621, -3012853, -3766085, -4519317?
-753232*y + 75
What is the d'th term of -2451, -4753, -7105, -9507?
-25*d**2 - 2227*d - 199
What is the x'th term of -1091, -3251, -6749, -11591, -17783?
-x**3 - 663*x**2 - 164*x - 263
What is the c'th term of 8966, 12520, 16086, 19670, 23278, 26916?
c**3 + 3547*c + 5418
What is the r'th term of 179600, 179909, 180218, 180527?
309*r + 179291
What is the l'th term of 100, -625, -2604, -6467, -12844, -22365, -35660?
-105*l**3 + 3*l**2 + l + 201
What is the v'th term of -2839517, -2839473, -2839391, -2839265, -2839089?
v**3 + 13*v**2 - 2*v - 2839529
What is the c'th term of -133795032, -267590063, -401385094, -535180125, -668975156, -802770187?
-133795031*c - 1
What is the s'th term of 1724, 5764, 14398, 29924, 54640, 90844, 140834, 206908?
383*s**3 - s**2 + 1362*s - 20
What is the x'th term of -269, 633, 1537, 2443, 3351?
x**2 + 899*x - 1169
What is the m'th term of -247, -1929, -5095, -9787, -16047, -23917?
-7*m**3 - 700*m**2 + 467*m - 7
What is the y'th term of 390, 57, -264, -573, -870, -1155?
6*y**2 - 351*y + 735
What is the p'th term of 23902, 28382, 35848, 46300, 59738, 76162?
1493*p**2 + p + 22408
What is the q'th term of -12022988, -24045966, -36068944, -48091922?
-12022978*q - 10
What is the b'th term of 3279, 3302, 3347, 3414, 3503, 3614, 3747?
11*b**2 - 10*b + 3278
What is the r'th term of -4802537, -4802562, -4802587?
-25*r - 4802512
What is the i'th term of -1904090, -1904076, -1904062?
14*i - 1904104
What is the g'th term of 1881, 1873, 1849, 1803, 1729, 1621, 1473?
-g**3 - 2*g**2 + 5*g + 1879
What is the b'th term of 143584, 143569, 143544, 143509, 143464, 143409?
-5*b**2 + 143589
What is the m'th term of -105, -458, -1129, -2220, -3833, -6070?
-17*m**3 - 57*m**2 - 63*m + 32
What is the c'th term of -953742280, -1907484560, -2861226840, -3814969120, -4768711400?
-953742280*c
What is the u'th term of -346697, -1386803, -3120311, -5547221, -8667533, -12481247, -16988363?
-346701*u**2 - 3*u + 7
What is the x'th term of -671785, -1343610, -2015445, -2687290?
-5*x**2 - 671810*x + 30
What is the w'th term of 1057, 902, 481, -338, -1687, -3698?
-22*w**3 - w**2 + 2*w + 1078
What is the x'th term of -75, -754, -1541, -2436?
-54*x**2 - 517*x + 496
What is the c'th term of 46513318, 46513319, 46513320, 46513321, 46513322, 46513323?
c + 46513317
What is the s'th term of -6560, -5605, -4650, -3695, -2740?
955*s - 7515
What is the a'th term of -263248278, -263248279, -263248280, -263248281, -263248282?
-a - 263248277
What is the d'th term of -218644, -218641, -218644, -218653?
-3*d**2 + 12*d - 218653
What is the l'th term of 59680, 119787, 179894, 240001, 300108?
60107*l - 427
What is the m'th term of -8172, -25834, -55272, -96486, -149476, -214242?
-5888*m**2 + 2*m - 2286
What is the g'th term of -42082, -73172, -104262?
-31090*g - 10992
What is the m'th term of -1153, -3882, -8265, -14302, -21993, -31338?
-827*m**2 - 248*m - 78
What is the v'th term of -3639975, -7280017, -10920059, -14560101?
-3640042*v + 67
What is the a'th term of -6274, -50637, -171070, -405607, -792282, -1369129, -2174182, -3245475?
-6339*a**3 - a**2 + 13*a + 53
What is the v'th term of -1717831, -1717566, -1717301?
265*v - 1718096
What is the x'th term of 12370, 12409, 12450, 12493, 12538, 12585, 12634?
x**2 + 36*x + 12333
What is the q'th term of 950, 3560, 6184, 8828, 11498, 14200, 16940?
q**3 + q**2 + 2600*q - 1652
What is the h'th term of -143310, -286603, -429896, -573189?
-143293*h - 17
What is the x'th term of -5859545, -11719109, -17578683, -23438273, -29297885, -35157525, -41017199, -46876913?
-x**3 + x**2 - 5859560*x + 15
What is the k'th term of -307062, -614327, -921586, -1228839, -1536086, -1843327?
3*k**2 - 307274*k + 209
What is the n'th term of -28555, -28487, -28423, -28363, -28307, -28255, -28207?
-2*n**2 + 74*n - 28627
What is the a'th term of 2527804, 5055613, 7583422, 10111231, 12639040, 15166849?
2527809*a - 5
What is the s'th term of 6200, 9196, 14190, 21182, 30172, 41160, 54146?
999*s**2 - s + 5202
What is the f'th term of 823, -216, -1949, -4376?
-347*f**2 + 2*f + 1168
What is the a'th term of 295607, 295208, 294797, 294368, 293915, 293432?
-a**3 - 392*a + 296000
What is the t'th term of 154418, 154426, 154446, 154484, 154546, 154638, 154766?
t**3 + t + 154416
What is the c'th term of -21659, -85915, -193007, -342935?
-21418*c**2 - 2*c - 239
What is the o'th term of 29061931, 29061933, 29061937, 29061943, 29061951?
o**2 - o + 29061931
What is the i'th term of 2216, 9642, 22274, 40112, 63156, 91406, 124862?
2603*i**2 - 383*i - 4
What is the k'th term of 49876, 49975, 50074?
99*k + 49777
What is the j'th term of 26759024, 53518049, 80277074, 107036099?
26759025*j - 1
What is the h'th term of 4364271, 8728534, 13092783, 17457018, 21821239, 26185446, 30549639?
-7*h**2 + 4364284*h - 6
What is the z'th term of 43515, 173912, 391211, 695412, 1086515, 1564520, 2129427?
43451*z**2 + 44*z + 20
What is the c'th term of 22335, 20911, 19485, 18057, 16627, 15195?
-c**2 - 1421*c + 23757
What is the u'th term of 1773026, 1773027, 1773028, 1773029, 1773030?
u + 1773025
What is the z'th term of -15215, -29611, -44007?
-14396*z - 819
What is the p'th ter
|
{
"pile_set_name": "DM Mathematics"
}
|
*c + 12 = -8. What is the highest common factor of c and g?
4
Let q = -741 + 774. Calculate the highest common divisor of 825 and q.
33
Suppose -13440 = 59*b - 74*b. Calculate the greatest common factor of 56 and b.
56
Let t(l) be the first derivative of -l**3/3 + 3*l**2 - 4*l - 8. Let i be t(4). What is the greatest common factor of 44 and i?
4
Let o be ((-128)/(-10))/(-10*(-14)/350). What is the greatest common divisor of 48 and o?
16
Suppose -f + 4*f = 30. Let l = -5 + f. Let a = 10 - l. What is the greatest common factor of 2 and a?
1
Let s be (-3096)/(-20) - 6/(-30). Calculate the greatest common factor of s and 15.
5
Let p be 3*((-84)/(-9) - -2). Let r = p - 25. Calculate the highest common divisor of r and 54.
9
Suppose -31 = -l - 3*f, -19 = -4*l + 3*l + 3*f. Let m = l - 19. Calculate the greatest common factor of 3 and m.
3
Let o be (-1 - (-72)/(-2))*(-5 + -4). What is the greatest common divisor of o and 37?
37
Suppose 41*d = 43*d - 4. Suppose -4*a = d*a - 216. Calculate the greatest common factor of 12 and a.
12
Let h be ((-4)/5)/((-2)/120). Let r(s) = s**2 + 6*s. Let l be r(-6). Suppose l = 3*c - 10 - 8. Calculate the greatest common factor of h and c.
6
Let t be (0 - (-4)/(-3)) + (-190)/(-3). Suppose -48 + t = o. Calculate the highest common factor of o and 84.
14
Suppose 13 = a - 4. Let h be (-2)/3*(1224/16)/17. Let r = a + h. Calculate the greatest common divisor of 126 and r.
14
Let g = -31 + 35. Let r be 1/(7/g)*7. Calculate the greatest common divisor of r and 10.
2
Let t = -36 + 360. Suppose 8*a = 4*a + t. Calculate the highest common factor of a and 54.
27
Let t = -53 - -55. Let q be 157/t - (-7)/(-14). Calculate the greatest common divisor of q and 117.
39
Let i(m) = m**3 - m**2 + 10. Suppose -5*j = -2*j + 3*o - 6, 2*o - 4 = -j. Let a be i(j). What is the greatest common factor of 25 and a?
5
Let g(z) = -z**3 - 3*z**2 - 2*z - 1. Let x be g(-2). Let d(h) = -11*h + 1. Let a be d(x). Calculate the greatest common factor of 8 and a.
4
Suppose -7*t = 890 - 3074. Let d be 3*(2 + t/9). Calculate the greatest common divisor of 22 and d.
22
Suppose 0 = -5*k - 180 + 1380. Suppose 0 = -4*c - c + k. Suppose -4*h = -r - 2, 31 + 1 = 4*r + 4*h. Calculate the highest common divisor of r and c.
6
Let q(f) be the third derivative of f**4/6 + 4*f**3 + 2*f**2. Let r be q(10). Calculate the greatest common divisor of 16 and r.
16
Let f be (-4)/(0 + (-4)/20). Suppose 2*v - 2 - f = -3*s, -4*s - 4 = -4*v. Let l be ((-21)/12)/(v/(-40)). What is the greatest common divisor of 2 and l?
2
Let r(j) = 11*j**2 + 22*j - 67. Let p be r(3). Suppose -f - 2 = -a + 13, 0 = 3*a - 2*f - 44. What is the highest common factor of a and p?
14
Suppose 0*a - 2*a + 254 = -c, 0 = -2*a + 4*c + 242. Let g = a + -53. What is the highest common factor of 19 and g?
19
Let q = -14 - -109. Let v be (3 - 9/2)*(-304)/24. What is the highest common divisor of v and q?
19
Let g(k) = -2*k + 15. Let t be g(13). Let j be t/2*(4 - 2). Let f = j - -31. Calculate the highest common divisor of f and 5.
5
Suppose 7*o - 12*o = 0. Let p be o - (-193 + 2 + 2). What is the highest common divisor of p and 21?
21
Suppose -4*s = 4*h - 8, -3*h + 4*s + 2 = -11. Let m be 3/((-3)/(-6) - 1). Let z be ((-1)/2)/(m/36). Calculate the greatest common factor of z and h.
3
Let b be 2/9 + (-38)/9. Let q(f) = 9*f**2 - 2*f - 2. Let n be q(b). What is the greatest common factor of n and 30?
30
Suppose -8*i = -255 - 105. Calculate the highest common factor of i and 1440.
45
Let x(m) = m**3 - 12*m**2 - 15*m - 10. Let j be x(13). Let z be (j/42)/((-1)/(-14)). Let c = z + 24. Calculate the greatest common divisor of 48 and c.
12
Let q(p) = -p**3 - 16*p**2 + p + 18. Let j be q(-16). Suppose j*w + 298 = 4*d, -2*d + 3*d - 5*w - 97 = 0. Calculate the greatest common factor of d and 108.
36
Let y(s) = s + 2 + 22 - 6*s + 3*s. Let t be y(5). Calculate the highest common factor of 14 and t.
14
Let r = -23 - -25. Let u(w) = -4*w - 3 - 8 + 5 + 18*w - r*w**2. Let l be u(6). What is the greatest common factor of l and 15?
3
Suppose 0 = -7*s - 3*s + 270. What is the highest common factor of s and 3?
3
Let y be (-1 + 2)*(-6 + 10). Suppose -11 = -y*t + l, 4*t - l = -t + 15. Suppose -19 = t*m - 79. Calculate the greatest common divisor of 120 and m.
15
Let c(p) = 5*p - 28. Let l be c(6). Suppose u = 3*u - 2*f + l, -5*u = 3*f - 19. Calculate the highest common factor of 16 and u.
2
Suppose 8*o - 4 - 28 = 0. Calculate the greatest common divisor of o and 26.
2
Let q = 10 - -44. Suppose -4*i = 60 - 264. Let g = i + -45. What is the highest common divisor of q and g?
6
Suppose 40*n - 168 = 19*n. Let z be (-544)/(-6) - (-2)/(-3). Suppose -2*o = 2*r - z, -o - 3*o + 175 = 3*r. Calculate the greatest common divisor of o and n.
8
Let m be (-4)/4 + 1 - -3. Suppose 5*z + 33 = 3*t, z - 3*z - m*t = 30. Let h be (25 - z/(-3)) + -1. Calculate the greatest common divisor of 3 and h.
3
Suppose q - 102 = -5*k - 2*q, k - 2 = 4*q. Let y be 0/((-10)/(-5)) + 2. Suppose -74 = -y*t - k. Calculate the highest common divisor of 7 and t.
7
Let b = 56 + 104. Let z(f) = -2*f**2 - 173*f - 66. Let p be z(-86). Calculate the greatest common divisor of p and b.
20
Let u be (18/54)/(398/132 + -3). Calculate the highest common factor of 407 and u.
11
Suppose j + 1096 = 5*j. Let x = j - 154. Suppose 0 = 2*v - 119 + 23. Calculate the highest common factor of x and v.
24
Let y = -632 - -1064. What is the highest common divisor of y and 54?
54
Let v = 1019 + -747. Calculate the greatest common factor of 34 and v.
34
Let d(p) = -111*p + 117. Let g be d(-15). What is the greatest common divisor of g and 66?
66
Let p be 1 - (1 + -2)*1. Let q = 125 + -52. Let c = q + -67. Calculate the highest common divisor of c and p.
2
Suppose 57 - 12 = u. Suppose -3*x - 2*f + 143 = 0, 190 + u = 5*x + 4*f. Calculate the highest common divisor of 17 and x.
17
Let q = -14 + 44. Let z be ((-1)/(4/18))/(q/(-180)). Calculate the greatest common divisor of 36 and z.
9
Suppose -2*n = -5*b - 290, n - 2*n + 146 = -2*b. Let x = -363 + 393. What is the greatest common divisor of x and n?
30
Let l(a) = -5*a + 8. Let h be l(-8). Calculate the highest common factor of 192 and h.
48
Suppose -2*i = 2*t - 342, -5*i + 409 = 3*t - 96. Suppose -o - t = -5*d, 0 = -4*d - 2*o - 2*o + 164. Calculate the greatest common factor of d and 54.
18
Suppose 5*f = 3*y + 48, -2*f + 14 + 3 = y. Suppose 33 = -4*x + f. Let v be (-9)/x*(0 - -20). Calculate the highest common divisor of v and 30.
30
Let b be 4/((-16)/(-76)) - (-11 - -12). Let x(c) = 2*c. Let j be x(1). What is the highest common divisor of j and b?
2
Let s = -23 - 38. Let c = s + 109. Let y(l) = 9*l**2 - 2*l - 3. Let o be y(3). Calculate the highest common divisor of c and o.
24
Let y = 72 + -32. Calculate the highest common divisor of y and 360.
40
Let n be (-2 + 1)/(1/(-110)). Suppose 384 = 41*w - 26. What is the highest common factor of n and w?
10
Let z be 498/4 - 2/(-4). Suppose 3*d + 3*p - 15 = 0, p = -5*d + 4 + 1. Suppose d*a + 150 = 3*a. Calculate the highest common factor of a and z.
25
Let f be (90/(-2))/(8 + (-72)/8). What is the greatest common divisor of 10 and f?
5
Suppose -2*j + 6*j - 48 = 4*t, 5*t = j - 32. Suppose -r - 2*r = 2*w - 142, -r + 73 = w. Calculate the greatest common factor of w and j.
7
Let u(p) = p**2 - 21*p + 1. Let l be u(18). Let w = -24 - l. Calculate the highest common divisor of 319 and w.
29
Suppose 60 = 12*g + 3*g. Calculate the greatest common factor of 1120 and g.
4
Suppose 8*i - 14*i = -192. Calculate the greatest common factor of i and 416.
32
Let q = -18 - -21. Let z(f) = 5 - 6*f + 7 + f**2 - q. Let o be z(7). Calculate the highest common divisor of o and 8.
8
Let q(o) = -6 - 5 - 20*o**2 + 21*o**2 + 10*o. Let p be q(9). What is the highest common factor of p and 16?
16
Suppose -4*l + 1708 = 5*g, -5*l = 4*g - 859 - 511. Calculate the greatest common factor of 272 and g.
68
Suppose v - 3*v + 68 = 0. Let k(w) = -133*w + 433. Let o be k(3). Calculate the greatest common divisor of v and o.
34
Suppose 5*n = -4*t + 35, -5*t - n + 34 - 6 = 0. Suppose t*o - 31 = 104. Calculate the highest common divisor of o and 243.
27
Suppose a + a = 416. Suppose 0 = -6*d + 7*d - a. What is the greatest common divisor of d and 26?
2
|
{
"pile_set_name": "DM Mathematics"
}
|
when three letters picked without replacement from {z: 2, k: 3, t: 3, w: 2, j: 9}?
2/969
What is prob of picking 1 e and 2 o when three letters picked without replacement from {o: 5, e: 7}?
7/22
Four letters picked without replacement from oxxoxooccxocoooco. What is prob of picking 3 o and 1 c?
12/85
Two letters picked without replacement from {m: 1, l: 1, j: 1, p: 1, u: 1}. Give prob of picking 1 u and 1 j.
1/10
Calculate prob of picking 2 r and 1 g when three letters picked without replacement from {g: 4, r: 2, n: 1}.
4/35
Calculate prob of picking 1 u and 1 t when two letters picked without replacement from ffffuffffffuft.
2/91
Four letters picked without replacement from {a: 2, z: 3, m: 1, n: 3, f: 2, y: 1}. Give prob of picking 2 z and 2 n.
1/55
Two letters picked without replacement from {n: 4, g: 10, q: 1, t: 3}. What is prob of picking 1 t and 1 n?
4/51
Two letters picked without replacement from fccffcffcfcfff. Give prob of picking 2 f.
36/91
Three letters picked without replacement from {g: 2, r: 6}. What is prob of picking 2 r and 1 g?
15/28
Two letters picked without replacement from {w: 4, d: 4, q: 5, k: 1, v: 5}. Give prob of picking 1 d and 1 q.
20/171
Two letters picked without replacement from {r: 5, z: 1, y: 3, w: 1}. What is prob of picking 1 y and 1 w?
1/15
Four letters picked without replacement from {q: 5, j: 1, r: 3, h: 2, e: 3, i: 1}. What is prob of picking 1 q, 2 r, and 1 e?
3/91
Four letters picked without replacement from gkojggoiiojoig. Give prob of picking 2 o and 2 g.
36/1001
What is prob of picking 2 k and 1 f when three letters picked without replacement from {k: 8, f: 3}?
28/55
Two letters picked without replacement from llhzqql. What is prob of picking 2 l?
1/7
Three letters picked without replacement from ftiijqqf. What is prob of picking 2 f and 1 q?
1/28
What is prob of picking 2 c when two letters picked without replacement from cgyoicgyggjoyoc?
1/35
Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {k: 1, a: 1, u: 1, i: 2}.
1/10
Two letters picked without replacement from ptpco. Give prob of picking 1 c and 1 t.
1/10
What is prob of picking 1 u, 2 j, and 1 l when four letters picked without replacement from ujuiululiiij?
8/495
What is prob of picking 1 w and 2 j when three letters picked without replacement from hwwnjwjhwwwwhwh?
8/455
Three letters picked without replacement from {l: 6, g: 2, m: 3, x: 1}. What is prob of picking 2 l and 1 x?
3/44
What is prob of picking 1 y and 3 d when four letters picked without replacement from {y: 6, d: 6}?
8/33
Two letters picked without replacement from {u: 5, r: 1, s: 1, q: 4}. Give prob of picking 1 r and 1 u.
1/11
What is prob of picking 1 d and 1 s when two letters picked without replacement from {s: 1, d: 12}?
2/13
Three letters picked without replacement from llxrlllxrxlxrlvrrr. What is prob of picking 1 l, 1 r, and 1 v?
7/136
Two letters picked without replacement from {e: 9, u: 7}. What is prob of picking 2 u?
7/40
Three letters picked without replacement from lqlquluuzdlzlqlqu. What is prob of picking 1 l, 1 d, and 1 q?
3/85
Two letters picked without replacement from zsszcsszzsssssszz. What is prob of picking 2 s?
45/136
What is prob of picking 1 m and 1 n when two letters picked without replacement from gyjjnymjjjjm?
1/33
What is prob of picking 1 x, 1 b, and 1 u when three letters picked without replacement from {b: 2, k: 1, u: 5, x: 6, q: 1, l: 1}?
3/28
Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {p: 1, t: 1, j: 1, q: 1, v: 3}.
1/7
What is prob of picking 2 e when two letters picked without replacement from {e: 12, v: 1}?
11/13
What is prob of picking 1 k and 1 d when two letters picked without replacement from dnnnnbdknddsnndkbdb?
4/57
Two letters picked without replacement from lulwvlqqdvqulqvquql. What is prob of picking 1 l and 1 q?
10/57
Four letters picked without replacement from {z: 1, h: 4, b: 2, p: 3, k: 8, t: 2}. Give prob of picking 2 p, 1 h, and 1 t.
8/1615
Four letters picked without replacement from pzpnzpnnzzpnpn. What is prob of picking 1 n and 3 z?
20/1001
Three letters picked without replacement from {w: 2, b: 1, i: 2, q: 2, m: 1, k: 1}. What is prob of picking 1 b and 2 w?
1/84
Calculate prob of picking 2 e, 1 l, and 1 m when four letters picked without replacement from tmeltemlttmtl.
9/715
Three letters picked without replacement from {m: 4, s: 1, l: 4, w: 2, x: 6, o: 2}. Give prob of picking 2 m and 1 l.
8/323
Calculate prob of picking 1 i and 1 k when two letters picked without replacement from okookookokookiiko.
3/34
Two letters picked without replacement from zzzzwszzzzzzzzzzzzzz. What is prob of picking 1 z and 1 w?
9/95
What is prob of picking 1 a and 1 q when two letters picked without replacement from {a: 1, t: 5, n: 3, q: 1, e: 1}?
1/55
Three letters picked without replacement from {v: 1, i: 12, s: 1}. What is prob of picking 2 i and 1 v?
33/182
Three letters picked without replacement from uunuemyuneneuuye. What is prob of picking 2 y and 1 n?
3/560
Four letters picked without replacement from yynl. What is prob of picking 4 n?
0
Two letters picked without replacement from {o: 6, k: 9, t: 2}. Give prob of picking 1 t and 1 o.
3/34
Four letters picked without replacement from {o: 3, g: 3, s: 13}. What is prob of picking 1 s and 3 g?
13/3876
Three letters picked without replacement from {d: 1, z: 3, q: 1, g: 2, v: 11}. Give prob of picking 1 v, 1 g, and 1 d.
11/408
Two letters picked without replacement from {h: 1, n: 1, l: 1, u: 1, j: 1}. Give prob of picking 1 u and 1 l.
1/10
Four letters picked without replacement from {x: 9, i: 3, k: 4}. What is prob of picking 2 k and 2 i?
9/910
Calculate prob of picking 1 f, 1 d, and 2 q when four letters picked without replacement from {l: 3, i: 1, d: 7, s: 4, f: 1, q: 4}.
14/1615
Two letters picked without replacement from rsrrussurrsr. What is prob of picking 1 u and 1 r?
2/11
Three letters picked without replacement from xxxxxnnnxxxxxx. Give prob of picking 2 x and 1 n.
165/364
Three letters picked without replacement from {d: 2, k: 10, o: 1, q: 1, n: 2}. What is prob of picking 2 d and 1 k?
1/56
What is prob of picking 2 j when two letters picked without replacement from {j: 4, c: 3}?
2/7
Two letters picked without replacement from ezvezzewez. What is prob of picking 2 e?
2/15
Three letters picked without replacement from uwjuuvjxjvuu. Give prob of picking 1 w, 1 x, and 1 j.
3/220
What is prob of picking 2 b when two letters picked without replacement from {e: 5, b: 2, q: 13}?
1/190
Two letters picked without replacement from {o: 7, i: 8, w: 2, k: 1, n: 1}. What is prob of picking 1 o and 1 i?
56/171
Two letters picked without replacement from uudxubdbudxuxxbxu. Give prob of picking 1 u and 1 d.
9/68
Four letters picked without replacement from dkhkhgkdkwhv. What is prob of picking 1 d, 1 v, 1 w, and 1 k?
8/495
What is prob of picking 2 r and 1 e when three letters picked without replacement from {r: 3, e: 1, u: 1}?
3/10
What is prob of picking 4 j when four letters picked without replacement from rxjjrjjcx?
1/126
Two letters picked without replacement from kekllellkkeeekee. Give prob of picking 2 k.
1/12
Four letters picked without replacement from keveiieiiieksvkvek. What is prob of picking 3 e and 1 k?
2/153
Two letters picked without replacement from hrhh. What is prob of picking 1 r and 1 h?
1/2
Two letters picked without replacement from {c: 2, z: 5}. What is prob of picking 2 c?
1/21
Two letters picked without replacement from {s: 1, p: 1, q: 1}. What is prob of picking 1 s and 1 q?
1/3
Two letters picked without replacement from yqq. Give prob of picking 1 q and 1 y.
2/3
Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {p: 1, o: 1, w: 5, z: 4, d: 3, r: 1}.
1/105
Four letters picked without replacement from xnmxjttjmtjtnmnlttn. Give prob of picking 2 m, 1 l, and 1 n.
1/323
What is prob of picking 2 k and 2 l when four letters picked without replacement from {k: 5, l: 2, i: 1, y: 1}?
5/63
Calculate prob of picking 1 a, 1 h, and 1 q when three letters picked without replacement from {q: 8, e: 1, d: 1, c: 1, h: 4, a: 1}.
2/35
Four letters picked without
|
{
"pile_set_name": "DM Mathematics"
}
|
+ q)*(-1 + 1 + 1).
-28*q**2
Expand 0 + 0 + 2*t**3 + (-4*t**2 + t**2 + 0*t**2)*(5*t - 2*t - 2*t).
-t**3
Expand (0*d + d - 3*d)*((-1 + 3 - 1)*(-6 + 0 + 3) + 2 + 0 - 3).
8*d
Expand r**4 + r**5 - r**4 + 2*r**5 + 0 + 0 + (2*r**5 + 0*r**5 + 0*r**5)*(-1 + 1 - 2) + 2*r**5 - 3*r**5 - 24*r + 21*r.
-2*r**5 - 3*r
Expand -3*c**2 + c**2 + 3*c**2 + (c + 11 - 11)*(-c + 0*c + 3*c).
3*c**2
Expand -2*u**5 + 0*u**5 - 3*u**5 + (-2 + 0 + 4)*(u**5 + u**5 - 4*u**5) + 2*u**4 - 3*u**5 - 2*u**4.
-12*u**5
Expand (2*u + 0*u - 7*u)*(u**4 - 11*u**3 + 26*u**3 + u**4).
-10*u**5 - 75*u**4
Expand (-1 + 1 - 4*s)*(-3 + 6 - 22 + (5 - 3 - 4)*(1 + 1 - 1) + 2 + 1 - 4).
88*s
Expand 4*w**3 - 4*w**3 + 2*w**5 - w**2 + 2*w**5 + w**2 + (-5*w**2 + 7 - 7)*(w**2 - w**2 + w**3).
-w**5
Expand -3*d**2 + 3*d**2 + d**5 + (-2*d**5 + 4*d**5 - 4*d**5)*(-4 - 7 - 14).
51*d**5
Expand (3*y**2 - 1 + 1)*(-7*y - 9 + 9)*(3 - 1 - 3).
21*y**3
Expand (-2*v**4 - v**4 + 4*v**4)*(5*v - v + 3*v) + 3*v**5 + 0*v**5 - 5*v**5.
5*v**5
Expand -3*w**4 - 3*w**4 + 5*w**4 + (3*w**2 - 3*w**2 + w**2)*(1 + 3*w**2 - 1).
2*w**4
Expand ((4 - 4 - 1)*(3 + 1 - 3) - 4 + 0 + 0 + 3 + 0 - 2)*(2*w**2 + 0*w**2 - 3*w**2 + (-2*w + 0 + 0)*(2*w - 5*w + 4*w)).
12*w**2
Expand (5 - 5 - c)*(-2 - c**2 + 2)*(c + 0*c + 7*c).
8*c**4
Expand (-3*y + 3*y - 2*y)*(4 - 3 - 2 + (5 - 5 + 6)*(2 + 3 - 3))*(2*y - 2*y + y).
-22*y**2
Expand (2 + 0 - 5*f + 4*f)*(22 - 4 + 3)*(-4 + 2 + 0).
42*f - 84
Expand (0*c**2 - 2*c**2 + c**2)*(-2*c + 0*c - 3*c).
5*c**3
Expand (-3 + 1 + 4)*(1 - 4 + 1)*(w**3 - w**3 + 2*w**4 + (-w + 0*w + 3*w)*(1 - 1 - 2*w**3) + w**4 - 3*w**4 + w**4 - 5*w**4 + 4*w**4 + 3*w**4).
4*w**4
Expand 2*y**2 - 8*y + 0*y**2 + 2*y**3 + 10*y + (-2*y**2 - 3*y**2 + 3*y**2)*(2*y - y + y).
-2*y**3 + 2*y**2 + 2*y
Expand (-4*u**2 - 4 + 4)*(4 - 2 - 1).
-4*u**2
Expand (0*s + s + s + (-s - 1 + 1)*(-3 - 1 + 2) - 2 - 4*s - s + 36*s)*(-s - s + 3*s).
35*s**2 - 2*s
Expand (-4 - 11*s + 7*s - s)*(-s**2 + 6*s**2 - 3*s**2).
-10*s**3 - 8*s**2
Expand ((-y + 1 - 1)*(-y + 0*y + 2*y) + 14*y - y**2 - 14*y)*(6*y - y - 2*y).
-6*y**3
Expand (-1 + 3 + 0)*((-2 + 2 + 1)*(3*m - 2*m - 3*m) + (0*m + 2*m - 3*m)*(-3 + 2 - 5)).
8*m
Expand -2*r**5 + 3*r - 3*r + (5*r - 4*r - 2*r)*(-2*r + 2*r - r**4) + (3*r - 5*r**2 - 3*r)*(0*r**3 + 3*r**3 - r**3).
-11*r**5
Expand (3*f - f - 11*f)*(f**3 - f**3 - 2*f**3).
18*f**4
Expand (-1 - 4 + 3)*(4 + 0 + 9)*(-4*h + h + 5*h)*(2 - 1 + 2).
-156*h
Expand (9 - 6*a - 9)*(-8 - 2 - 7).
102*a
Expand (l**2 + 0 + 0)*(-3*l - 4*l + 5*l) + (1 - 1 + 6)*(2*l**3 - 1 + 1).
10*l**3
Expand (3 - 4 + 0)*(-6*t + 2*t + 5*t)*((-6 + 2 + 5)*(-3*t**2 + 3*t**2 - t**2) - 2*t**2 + t**2 + 5*t**2).
-3*t**3
Expand (-1 - 2 + 1)*(-2 - 2*o**5 + 2 + 7*o**5 + 3*o**5 + 5*o**5 + (-1 + o**3 + 1)*(-2*o**2 + 3*o**2 - 3*o**2) + o**5 - o**5 - o**5).
-20*o**5
Expand (-2*y - y + 5*y)*(2*y - 5*y + 0*y)*(2*y - 23*y**2 - 2*y).
138*y**4
Expand (-4 + 1 + 9 + (1 - 4 + 4)*(-3 + 3 + 2))*(3*q - 5*q + 3*q) - q + 2*q + 0*q.
9*q
Expand (3 - 1 - 3)*(2 + 2*h**2 - 2) - 2*h**2 - h**2 + 4*h**2.
-h**2
Expand -w**4 + 0*w**4 + 3*w**4 + (-2*w**3 + 5 - 5)*(-4*w + w + 2*w).
4*w**4
Expand (-43*g**2 + 42*g**2 + g**3 + 0*g**3)*(1 + 0 + 1)*(3*g + 0*g - g).
4*g**4 - 4*g**3
Expand (d - 3*d + d)*(6*d**3 + 2*d**3 - 5*d**3) - d - 2*d**4 - 10 + 10.
-5*d**4 - d
Expand (2*r**2 + 5*r**2 - 4*r**2 + 3)*(-2*r**2 - r**2 + r**2).
-6*r**4 - 6*r**2
Expand (1 - 1 + 1)*(6*k - 2*k + 0*k)*(0*k - 2*k + k).
-4*k**2
Expand (7 - 2 - 10)*(1 + 0 - 2)*(-2*o - 4*o**2 + 2*o**2 - o).
-10*o**2 - 15*o
Expand -f**5 + f**5 - f**5 + (2*f**3 - 3 + 3)*(-3 + 3 - 3*f**2) + 3*f**5 - 6*f**5 + 2*f**5.
-8*f**5
Expand (-2*m - 2*m + 2*m)*(3*m**2 + 3*m**2 - 4*m**2)*(-2 + 3 + 6).
-28*m**3
Expand ((-1 + 1 + h)*(2*h + 2*h - h) + 0*h**2 + 4*h**2 + 0*h**2 - 15 + 6*h**2 + 15)*(-2*h + 8*h - 3*h).
39*h**3
Expand (-3 + 3 + 3*v)*(-2*v + 6*v - v)*(2*v - 1 + 1) + 2 - 2*v**3 - 2.
16*v**3
Expand 15*n + 5 - 9 + 2 - 2*n - 2*n + 3*n + (2 + 3 - 3)*(-2*n - n + n).
10*n - 2
Expand (-37 + 3*m**2 + 5*m**2 + 34)*(-m**2 - m**2 + 3*m**2).
8*m**4 - 3*m**2
Expand (3 + 1 - 6)*(-2*y - 4 + 4 - 3 + 3 - y + y - y - 2*y + (2*y - 4*y + 0*y)*(-2 - 2 + 5) - 3*y + 5*y - 3*y + y + 2 - 2).
14*y
Expand (2 - 2 + 2*z**2)*(-7 + 7 + 3*z) + 6*z**3 - 2 - 4*z**3 - 4*z**3 - 2*z**3 + 0*z**3 + 0*z**3.
2*z**3 - 2
Expand (-3*o + 2*o + 0*o)*(7*o - 4*o - 2*o)*((-o - 2*o + 2*o)*(0*o - 3*o + o) + 2*o**2 - 2*o**2 + o**2).
-3*o**4
Expand (-3*p**5 + 0*p**5 + 0*p**5)*(-3 - 4 - 1).
24*p**5
Expand (-5*t**2 + 2*t**2 + 4*t**2)*(-t - t - 2*t) + 4*t**3 - 5*t**3 + 0*t**3 + (-2*t + 3*t - 2*t)*(1 - 2*t**2 - 1) - t**3 - t**3 + 0*t**3.
-5*t**3
Expand 0*d**5 + 2*d**5 - d**5 + (0*d - 3*d + d)*(-2*d**3 + 2*d**3 - 2*d**3)*(2*d + 4 - 4).
9*d**5
Expand -7*y**2 - 3*y**4 + 7*y**2 + (3*y - 2*y + 0*y + (6*y - y - 3*y)*(1 - 1 + 1))*(y**3 - y**3 - y**3).
-6*y**4
Expand ((-3*g + 6*g - g)*(2 + 2*g - 2) + 2*g - 2*g - 3*g**2)*((3*g - g + 0*g)*(-4 + 0 + 5) - 2*g + 0*g + 3*g).
3*g**3
Expand (2 + 2*j - 2)*(4*j + 0*j - 3*j + (2*j + 2*j + j)*(-3 + 7 - 2)).
22*j**2
Expand (-3*s**3 + 6*s**3 - s**3)*(2 - 7 - 1).
-12*s**3
Expand (-2*l**2 + 5*l**2 - 2*l**2)*(-2*l + 0*l + 0*l) + (-l**2 + 1 - 1)*(-49*l + 14 - 14).
47*l**3
Expand (0*y**3 + 2*y**3 + 0*y**3)*(9*y + 5*y - 7*y).
14*y**4
Expand (2*t - t + 0*t)*(-3 + 0 + 1) - 2 + 1 + t + 0.
-t - 1
Expand -2*a**2 - a**3 + 2*a**2 + (-1 - 1 + 0)*(0*a**3 + 3*a**3 - a**3) + 5 - 5 - 7*a**3.
-12*a**3
Expand (3*w**2 + 0*w**2 - 4*w**2)*(-3 + 0 + 1) + 3*w**2 + 12*w - 2*w**2 - 2*w.
3*w**2 + 10*w
Expand -j**4 - j**4 + 4*j**4 + (j**4 - 3*j**4 + 0*j**4)*(2 + 2 - 1) - 4*j + 2*j**2 + 4*j + j**4.
-3*j**4 + 2*j**2
Expand (-5*m**5 + 2*m**3 - 3*m**3 - m**3)*(2 - 2 - 1).
5*m**5 + 2*m**3
Expand (b**2 + 2*b**2 - 4*b**2)*(-3*b**2 + 3*b**2 - b**3) + 0*b**3 + b**5 + 0*b**3 + 12*b**5 + 5*b**5 - 27*b**5 + 3*b - 2*b**5 - 3*b.
-10*b**5
Expand -96*r - 97*r + 15 + 186*r + (0 - 2 + 3)*(-r - 3*r + 5*r) + r - 4*r + r.
-8*r + 15
Expand (4*d - 3*d + 4*d)*(2 - 3 + 2).
5*d
Expand (3 - 3 + 2*d)*(2*d - 1 + 1) + d**2 + 1 + 0 - 3.
5*d**2 - 2
Expand 11*s**3 + 2*s - 11*s**3 - s**5 + (4 - 4 + 2*s**3)*(-s**2 + 5*s**2 - 2*s**2) + s**5 + s**5 - 3*s**5 + (-4*s**5 - 3*s**5 + 5*s**5)*(2 - 3 - 1).
6*s**5 + 2*s
Expand -2*l**5 - l**5 + l**5 + (-4 - 1 + 6)*(0*l + 0*l - 2*l**5) + (-2*l**4 - 3*l**4 + 3*l**4)*(2*l - 2*l + 3*l).
-10*l**5
Expand (-3*j + 3*j + j)*(2*j - 7*j + 3*j)*(-3*j**2 + 0*j + 0*j).
6*j**4
Expand (-2*u + u - 2*u)*(3*u**2 - u**2 - 4*u**2) + (-u + 0 + 0)*(-3*u**2 + u**2 + 3*u**2) + (-2*u + u - u)*(-2*u + u**2 + 2*u).
3*u**3
Expand (-2 + 4 - 4)*(-4*y - 29 + 29)*(2*y**2 + 2 - 2).
16*y**3
Expand (-2*f**5 + 2*f**5 + f**5)*(1 - 2 + 3) - 14*f**5 - 15*f**5 + 2*f**3 + 25*f**5.
-2*f**5 + 2*f**3
Expand (0*a + 3*a - a)*(-1 + 10 - 2 + (0 - 3 + 4)*(1 - 3 + 0) + 0 - 1 + 3)*(-10*a - 6*a**2 + 10*a).
-84*a**3
Expand 4*y**5 + 0*y**5 - 3*y**5 + y**5 + 3 - 3 + (0 - y**3 + 0)*(-3*y + 3*y - y**2) + 46*y**3 - 46*y**3 + 12*y**5.
15*y**5
Expand (-2*g**4 + g**4 - g**4)*(2*g + 0*g + g) + 2*g**5 - 2*g**5 - g**5.
-7*g**5
Expand -s**3 + 3*s**2 - 3*s**2 + (-3 - 2*s + 3)*(4*s**2 + 4*s**2 - 2*s**2) + 4*s**3 - 3*s**3 + 0*s**3.
-12*s**3
Expand -10*s**3 + 8*s**3 - 10*s**3 + 0*s**3 - 2*s**3 + 3*s**3 + (3 - s - 3)*(-s - s**2 + s).
-10*s**3
Expand (-3*f**2 + 5*f**2 + 0*f**2 - 2*f**2 - 4*f**2 + 0*f**2 + (3*f - 2*f + 0*f)*(2*f + 3*f - 7*f))*(2*f**3 - f + f).
-12*f**5
Expand (j - 3*j + 4*j)*(2 - 5 + 2) + 6*j - 2*j + 4*j + (-j - 1 + 1)*(2 - 3 + 0).
7*j
Expand (-9 + 9 + 6*c)*(0 + c + 0 + (2 + 0 + 0)*(2*c + c - 5*c) - 4*c + c + 4*c + 3 + c - 3).
-6*c**2
Expand -x**5 - 2*x**5 + 3*x**2 - x**2 + (-2*x - 2*x**2 + 2*x)*(-x**3 + 0*x**3 + 2*x**3).
-5*x**5 + 2*x**2
Expand 2*z**4 - 3 - 98*z + 104*z + 4 + z**4 - 2*z**4 + 2*z**4 + 2*z**4 - 2*z**4 + z**4 + (z**2 + 0*z + 0*z)*(4*z**2 + z**2 - 3*z**2).
6*z**4 + 6*z + 1
Expand (3 + 2 + 0)*(-4 + 4 - k**2).
-5*k**2
Expand (0 + 3*c**2 + 0)*(2 - 1 + 3)*(0 + 0 - 2).
-24*c**2
Expand (2 + 1 + 0)*(4*f - 5*f + 0*f)*(-7*f**3 + 7*f**3 + 8*f**3).
-24*f**4
Expand (4 - 2 - 4)*(4 + 1 - 3)*(-4*q - 4*q + 2*q).
24*q
Expand (3 - 1 + 1)*(2 + 0 + 2)*(-2*p - p + 5*p).
24*p
Expand 3*z - 5*z - z + (0 - 2*z + 0)*(2 - 3 + 2) - 2*z + 4*z - 4*z + z + 1 - 1.
-6*z
Expand 0 + 4*j - 2 - 19*j**2 + 21*j**2 + (2*j - 3*j + 0*j)*(-2*j + 3*j - 2*j).
3*j**2 + 4*j - 2
Expand 2*i**2 + i**2 + 2*i**2 - 2*i**2 + 2*i - 2*i +
|
{
"pile_set_name": "DM Mathematics"
}
|
-204*q for q.
19
Solve -4455 + 4631 = -16*h for h.
-11
Solve -235 = 57*a + 450*a - 1249 for a.
2
Solve 368 - 229 = 139*v for v.
1
Solve -165*x + 573 = -582 for x.
7
Solve 233 + 952 = 72*r + 177 for r.
14
Solve -101*n - 926 = 51*n + 594 for n.
-10
Solve 88*q + 206 - 1158 = 20*q for q.
14
Solve 0 = -698*o + 35*o + 15912 for o.
24
Solve -143*g = -13976 + 15549 for g.
-11
Solve 128*p - 71*p = -223 - 461 for p.
-12
Solve 10*g - 5866 = -5866 for g.
0
Solve -117 = 93*o - 84*o for o.
-13
Solve -7*f - 143*f + 168 - 1968 = 0 for f.
-12
Solve -1819 = -92*v + 389 for v.
24
Solve -34*v + 96*v + 172 = -324 for v.
-8
Solve 0 = -346*y - 352*y + 708*y - 180 for y.
18
Solve -238*c + 284*c - 644 = 0 for c.
14
Solve -338 - 264 + 74 = 88*j for j.
-6
Solve 394*j + 200 = -588 for j.
-2
Solve 0 = -33*r - 15*r - 30*r - 780 for r.
-10
Solve -55*n + 3926 = 96*n for n.
26
Solve 730 + 1 = 849*k - 892*k for k.
-17
Solve 22*w = -70 + 52 - 158 for w.
-8
Solve -151*b = 28*b + 631 + 801 for b.
-8
Solve 1872 = 106*w + 206*w for w.
6
Solve -232*r + 172 = -189*r for r.
4
Solve 0 = 74*c - 18*c - 31*c - 125 for c.
5
Solve 3*n = 11979 - 11997 for n.
-6
Solve -38*i + 3409 - 2915 = 0 for i.
13
Solve 168*c - 252*c = 1596 for c.
-19
Solve -110 = 97*z + 1054 for z.
-12
Solve 88*m = 69*m - 228 for m.
-12
Solve 51*c + 11*c + 6*c - 952 = 0 for c.
14
Solve 33*i + 73*i = 10*i + 768 for i.
8
Solve -1536 + 1116 = -28*a for a.
15
Solve 1918*a = 941*a + 946*a - 558 for a.
-18
Solve 76*k + 79*k + 81*k = 242*k for k.
0
Solve 126 = 13242*d - 13293*d - 231 for d.
-7
Solve -7*z = -9*z - 16*z + 18 for z.
1
Solve 61*w = -39*w - 1900 for w.
-19
Solve -5039 = 282*k - 1373 for k.
-13
Solve 1266*j = 1462*j - 196 for j.
1
Solve 47*y - 34*y + 1054 = -21*y for y.
-31
Solve -25 = 9*k - 133 for k.
12
Solve -299*s + 184 + 758 = -1749 for s.
9
Solve -26*d + 1058 = 23*d - 3*d for d.
23
Solve -16*h = -21 + 12 - 103 for h.
7
Solve 428*r - 2534 = 66*r for r.
7
Solve 15*z = -205*z - 1320 for z.
-6
Solve -3*a = 32*a - 99*a - 192 for a.
-3
Solve 2*o = -10*o - 134 - 34 for o.
-14
Solve -2235*w = -2232*w + 9 for w.
-3
Solve 246*a - 596 - 2110 = 0 for a.
11
Solve 22*n = 5*n - 261*n - 3892 for n.
-14
Solve 11*b - 35*b - 220 = -4*b for b.
-11
Solve 1272*s + 598 - 6958 = 0 for s.
5
Solve 0 = 39*x + 3286 - 2935 for x.
-9
Solve -24*w + 2225 = 2105 for w.
5
Solve 65*o - 31*o = 23*o + 198 for o.
18
Solve -146*z + 10*z - 5874 = 42*z for z.
-33
Solve 2784 = 170*t + 1167 - 933 for t.
15
Solve -13 = 32*x + 19 for x.
-1
Solve 359*w - 130*w = 121*w + 124*w for w.
0
Solve 134*m + 160 = 142*m for m.
20
Solve -56*l = -52*l - 16 for l.
4
Solve 0 = -294*m + 260*m + 782 for m.
23
Solve 8450 = 13093*l - 12443*l for l.
13
Solve 161*j - 2193 = -744 for j.
9
Solve -206 = 29*a + 113 for a.
-11
Solve 0 = 91*r + 105*r - 4227 - 477 for r.
24
Solve 1795*b - 1817*b + 22 = 0 for b.
1
Solve 14 = -10*d - 15 - 21 for d.
-5
Solve 4*f + 64 + 134 = -2*f for f.
-33
Solve -21*m + 4*m - 8*m + 250 = 0 for m.
10
Solve -872 = -428*c - 1868 + 5704 for c.
11
Solve 0 = -10*t + 3733 - 3673 for t.
6
Solve 62*z - 628 + 412 = 528 for z.
12
Solve 4647 = -388*t + 472 - 1645 for t.
-15
Solve -85*d = 105 - 105 for d.
0
Solve 745*t = 722*t + 207 for t.
9
Solve 71*d + 223*d + 300 = -6*d for d.
-1
Solve 449 - 1075 + 491 = -9*n for n.
15
Solve -10*q = -496756 + 496686 for q.
7
Solve 121*c - 127*c = 34 - 106 for c.
12
Solve 63446 = -43*j - 7*j + 63146 for j.
-6
Solve -7*c - 174653 = -174499 for c.
-22
Solve -2312 = 106*m + 369*m + 8613 for m.
-23
Solve -6241 = -83*s - 9146 for s.
-35
Solve 7774 + 617 = -472*g - 8129 for g.
-35
Solve -35*q + 1137 - 227 = -175 for q.
31
Solve -366*v + 39*v - 59*v = -2702 for v.
7
Solve -36*y - 161 = -600 - 245 for y.
19
Solve 189*g - 7718 = -4127 for g.
19
Solve -1174*j + 3945 = 23066 - 337 for j.
-16
Solve -17*c + 22*c + 324 = -13*c for c.
-18
Solve 1154*b = 1134*b + 400 for b.
20
Solve 0 = -30*q + 92*q + 47 - 915 for q.
14
Solve 30*j + 379 + 149 - 78 = 0 for j.
-15
Solve 666*c - 679*c = -169 for c.
13
Solve 0 = 98*u + 95*u + 2895 for u.
-15
Solve -891*p + 49 = -872*p + 296 for p.
-13
Solve 0 = 35*w - 12 + 222 for w.
-6
Solve -174*c + 19*c + 4302 = 84*c for c.
18
Solve -558*k = -489*k + 1242 for k.
-18
Solve -70*x - 73*x = -143 for x.
1
Solve 0 = 773*j - 1023*j - 2250 for j.
-9
Solve -69*d + 55*d - 1239 = -73*d for d.
21
Solve -137*q + 749*q = -12240 for q.
-20
Solve 877*o - 6665 = 662*o for o.
31
Solve -203 + 51 - 184 = -56*v for v.
6
Solve 20*m - 21759 + 22179 = 0 for m.
-21
Solve -46*r - 887 + 2029 = 636 for r.
11
Solve -2310 = -47*p - 2921 for p.
-13
Solve -8 = -45*j + 5 - 13 for j.
0
Solve 33*t + 880 = 121*t for t.
10
Solve 94*i + 175*i + 4141 = -1239 for i.
-20
Solve 0 = 264*j - 4756 - 260 for j.
19
Solve 187*q + 103*q = -4*q + 2646 for q.
9
Solve -8280 = -148*h - 169*h - 28*h for h.
24
Solve -328 - 123 = -92*t + 469 for t.
10
Solve 442 = 378*c - 141*c + 5182 for c.
-20
Solve -7*c - 62*c + 35*c = 408 for c.
-12
Solve 23*l + 1385 = 1799 for l.
18
Solve 36 = -14*x - 8*x - 96 for x.
-6
Solve -2470 = -120*z + 295 - 125 for z.
22
Solve 36*f + 1364 = 19*f - 107*f for f.
-11
Solve 0 = -62*n - 60091 + 61703 for n.
26
Solve 0 = 775*h - 757*h - 216 for h.
12
Solve 0 = -17*x + 521 - 368 for x.
9
Solve f - 45 = -51 for f.
-6
Solve 0 = 786*z + 436*z - 30550 for z.
25
Solve 617 = 497*n - 116 - 261 for n.
2
Solve -44 + 11 = 33*x for x.
-1
Solve 13*q + 81 = 35*q - 535 for q.
28
Solve -361*z - 124*z - 16005 = 0 for z.
-33
Solve 15*c + 1008 = -57*c + 44*c for c.
-36
Solve 0 = 71*j + 874 - 164 for j.
-10
Solve 79*a = -1015 - 328 for a.
-17
Solve 629 = 206*s - 3079 for s.
18
Solve 4 + 8 = 151*y - 163*y for y.
-1
Solve 59*d + 320 = -15*d + 10*d for d.
-5
Solve -91*q - 6609 = -8065 for q.
16
Solve 49*m + 2535 - 2143 = 0 for m.
-8
Solve -21*x - 25 + 11 = 322 for x.
-16
Solve -49*j = -36*j + 107*j - 840 for j.
7
Solve 6 - 16 = -m - 2 for m.
8
Solve -77*u - 39*u = -1276 for u.
11
Solve -4698*y = -4752*y - 594 for y.
-11
Solve -3*r + 3018 = 221*r + 11754 for r.
-39
Solve -45*g + 5*g + 560 = 0 for g.
14
Solve -18 = -120*v - 145 + 1327 for v.
10
Solve -48*u - 89 + 504 = -161 for u.
12
Solve 77*b - 368 = 33*b + 228*b for b.
-2
Solve 0 = -25*x - 27*x - 16 + 588 for x.
11
Solve 1601*a - 14 = 1594*a for a.
2
Solve 312*n = -130*n + 23 + 3071 for n.
7
Solve 25*o = 1695 - 1670 for o.
1
Solve 13*g + 12 + 55 = -37 for g.
-8
Solve 14*z + 10*z - 192 = 0 for z.
8
Solve 0 = 9*b + 117 - 27 for b.
-10
Solve 0 = -126*a - 110 + 362 for a.
2
Solve 243*g - 202*g = 246 for g.
6
Solve 203*i - 309*i - 530 = 0 for i.
-5
Solve -37*t - 37 + 4 = 41 for t.
-2
Solve -318 + 1239 = 47*c - 583 for c.
32
Solve 221*d - 1858 = 118*d - 622 for d.
12
Solve 0 = -8*w + 46*w + 228 for w.
-6
Solve -44*j = -65*j + 35*j - 168 for j.
12
Solve -62*p = -14*p + 240 for p.
-5
Solve 48*y + 2048 = -80*y for y.
-16
Solve 64*h = 366*h + 5738 for h.
-19
Solve -73*f = -36*f - 40*f - 66 for f.
-22
Solve -30*d + 26440 = 25570 for d.
29
Solve -927*h + 933*h - 2 = 4 for h.
1
Solve 577 = -7*t + 528 for t.
-7
Solve 1923 = -293*n + 7490 for n.
19
Solve 21*k = k - 10743 + 10503 for k.
-12
Solve -12*g = 39*g + 2*g + 1431 for g.
-27
Solve 25*i + 232 + 217 = 99 for i.
-14
Solve -22*a + 101 = -24 - 7 for a.
6
Solve -384*a + 522*a = 0 for a.
0
Solve -3*h + 21*h - 111 + 147 = 0 for h.
-2
Solve -352*g + 7998 + 2210 = 0 for g.
29
Solve -126*q + 98 = -112*q for q.
7
Solve -474 = -52*u - 412 + 718 for u.
15
Solve -7488 = -2962*m + 3196*m for m.
-32
Solve 291*r = -732*r for r.
0
Solve -9730 = -43*r - 235*r for r.
35
Solve 147*u - 1416 = 201 for u.
11
Solve 52*b + 4*b = -38*b + 16*b for b.
0
Solve -48 = -u + 3*u + 6*u for u.
-6
Solve 3960 + 705 = 422*l - 399 for l.
12
Solve 696*n + 3846 = -3665 - 9193 for n.
-24
Solve -24*o + 29*o + 31*o - 540 = 0 for o.
15
Solve -346*c + 872*c - 234 = 292 for c.
1
Solve -132*f - 176 = -430*f - 1368 for f.
-4
Solve 263*r + 763 - 3432 = 3380 for r.
23
Solve 102*u + 10854 - 9120 = 0 for u.
-17
Solve 2181*b = 2422*b - 5302 for b.
22
Solve -10*r = -76*r + 492 + 36 for r.
8
Solve 12*g + 42 - 8 = -14 for g.
-4
Solve 145*r = 135*r - 80 for r.
-8
Solve -10*i = -319 + 129 - 80 for i.
27
Solve 4685*z - 4665*z - 209 = 271 for z.
24
Solve 135*z + 38 = 154*z for z.
2
Solve -53*z = 1565301 - 1563446 for z.
-35
Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
to the nearest 100000?
700000
Let t = -684661129412 + 684658363938.00051. Let z = 2765419 + t. Let s = 55 + z. What is s rounded to 4 decimal places?
0.0005
Let o = -16.9080011831 + 16.908. What is o rounded to seven decimal places?
-0.0000012
Let p = 0.23 + -0.18. Let h = 0.14 - p. Let v = 0.08957 - h. What is v rounded to four decimal places?
-0.0004
Suppose c = -5, 0 = k - 3*k - 3*c - 3240015. Round k to the nearest one million.
-2000000
Suppose 0 = -2*g - 3*g - 24745. Let o = -3249 - g. Round o to the nearest 1000.
2000
Let f = 52166096 - 52166124.0000056. Let u = f + 28. What is u rounded to 6 decimal places?
-0.000006
Let r(n) = -n**2 + 16*n + 3. Let i be r(16). Suppose -2*s = -3*c - 137396, 2*c - i*c - s = 45802. What is c rounded to the nearest 10000?
-50000
Let b(z) = -z**3 - 12*z**2 - 11*z + 15. Let w be b(-11). Suppose -14*d + w = -13*d. Let t = d + -34. Round t to the nearest ten.
-20
Let b(u) = -319999*u**3 + 4*u**2 - 5*u. Suppose -14 = 5*x + 11. Let s be b(x). Suppose 2*c - 4*c + s = 0. What is c rounded to the nearest one million?
20000000
Let x = 4347720978 - 4347721177.0000209. Let d = 199 + x. What is d rounded to 6 decimal places?
-0.000021
Let g = 373787.16418582 + -374274.16419. Let w = g + 487. Round w to six decimal places.
-0.000004
Let f = -45.3275 + 45.2. Round f to 3 decimal places.
-0.128
Let h = -253.4 + 305. What is h rounded to the nearest 10?
50
Let t be (-2808)/42*(18 + -4). What is t rounded to the nearest one hundred?
-900
Let f = -31.3 - -34. Let c = -2.565 + f. What is c rounded to two dps?
0.14
Let u be (-47)/94*0*(-2)/4. What is u rounded to seven dps?
0
Let a = -444.64 - -447. What is a rounded to zero decimal places?
2
Let f = -22.6 + 3.6. Let p = -26 - f. Let a = p - -7.22. Round a to 2 decimal places.
0.22
Let i = -0.173 + 0.572. Let n = 0.132 + i. What is n rounded to two dps?
0.53
Let y = -728.99999397 - -729. Round y to 6 dps.
0.000006
Let v(p) = -92*p**2 - 38*p - 40. Let g be v(20). Round g to the nearest ten thousand.
-40000
Let g = 5.62 - -1.28. Let d = -4.2 - g. Let s = -11.1099 - d. Round s to three dps.
-0.01
Let y = -64485.97 - -64072. Let s = -412 - y. Let q = -2.3 + s. Round q to one dp.
-0.3
Let x = -1148605.99931 + 1148580. Let l = -28 - -2. Let t = x - l. What is t rounded to 4 decimal places?
0.0007
Let b = -37 + 48. Suppose -b*o - 1310 = -6*o. Round o to the nearest ten.
-260
Let h = -76 - -76.7008. Let b = 68.7 + -68. Let q = h - b. Round q to 4 dps.
0.0008
Let r = -24746950.89479 + 24886579.978. Let d = -139635 + r. Let u = d - -5.92. Round u to four decimal places.
0.0032
Let w = 29967 + -29805.17. Let q = -163 + w. What is q rounded to one decimal place?
-1.2
Let v = -747.99928 - -748. Round v to four dps.
0.0007
Let u(t) = -29232*t - 52. Let j be u(-11). What is j rounded to the nearest 10000?
320000
Suppose 5*v = 2*v. Suppose -4 = 4*y - v. Let r be y/2 + (-13211)/(-22). What is r rounded to the nearest 1000?
1000
Let i = -0.00553 + -541.59447. Round i to the nearest one hundred.
-500
Let b(i) = 11*i - 3 - 4 - 618*i**3 + 9*i**2 - 3 - 4883*i**3. Let z(a) = -3*a - 8. Let q be z(-6). Let f be b(q). Round f to the nearest 1000000.
-6000000
Let g = -98 + 74. Let l be 1/((-6)/g) - -1616. What is l rounded to the nearest one hundred?
1600
Let r be 25*(0 - 6/(-15)). Let p(v) = r - 27 + 12 + 514001*v. Let l be p(5). What is l rounded to the nearest 100000?
2600000
Let h = 0.2 - -2.3. Let g = 2.5005 - h. Round g to 3 dps.
0.001
Let g(q) = q**2 - 4*q + 10. Let u be g(3). Let r(t) = -u - 28 - 16*t + 13. Let o be r(-12). Round o to the nearest 100.
200
Let f be (9 - 12)/(2/(-10)). Suppose -2*j + 4*y = -y - 73, 5*y + f = 0. Round j to the nearest ten.
30
Suppose -16 = -q + 4*s, 19 = 4*q - 2*s - 45. Let z be q/12*-5*1320. What is z rounded to the nearest 1000?
-9000
Let u(b) = 0 + 7 + 763*b - 80*b + 12. Let q be u(7). Round q to the nearest one thousand.
5000
Suppose -10*l + 55168 = 321668. Round l to the nearest 1000.
-27000
Let t(v) = -2*v. Let z be t(-2). Suppose 5300000 = -z*m + 9*m. Round m to the nearest one hundred thousand.
1100000
Let d = 748.999999219 - 749. What is d rounded to 7 dps?
-0.0000008
Let u = 1105 + -1104.99389. Round u to three decimal places.
0.006
Let b(y) = -46*y + 38*y**2 + 13 + 13 + 22*y**2 - 18. Let j be b(-12). Round j to the nearest 1000.
9000
Let z = -507.19 + 510. Round z to 1 decimal place.
2.8
Let d = 0 - 133. Let r = 133.00104 + d. Round r to four decimal places.
0.001
Let p = -60.4 + 57.83. Let x = -0.0158739 + -2.5520961. Let z = x - p. What is z rounded to four decimal places?
0.002
Let x(o) be the first derivative of -3*o**2 + 5*o + 37601/4*o**4 - 4/3*o**3 + 3. Let l be x(5). What is l rounded to the nearest one million?
5000000
Let l = -3165 + 2681.6. What is l rounded to the nearest 100?
-500
Let u(z) = z**3 + 10*z**2 + 13. Let l be u(-10). Let y = l - 13. Suppose y = -d - 0*d - 8900. Round d to the nearest one thousand.
-9000
Let f = -2.2645 + -0.0055. Let g = -0.06 - 1.94. Let j = f - g. Round j to 1 dp.
-0.3
Let p = -0.36 + 31.76. Let r = -28.933 - 0.067. Let m = r + p. Round m to the nearest integer.
2
Let f = 26103533 - 52593533. Round f to the nearest one million.
-26000000
Suppose 7679 = -168*t + 175*t. Round t to the nearest one hundred.
1100
Let a = -1122.2 + 1130. What is a rounded to 1 dp?
7.8
Let d = 1109 - 1109.0003912. Round d to five dps.
-0.00039
Let n(w) = w**3 - 8*w**2 + 2*w + 4. Suppose -6*k + 4*k = -16. Let u be n(k). Let o = 67 + u. Round o to the nearest 10.
90
Let s = -0.02248 - -0.027481. What is s rounded to four dps?
0.005
Suppose 0 = -5*i - 6 + 21. Suppose 2*m = -3*d + i, -d - 2*d = 3*m. Suppose -20100012 = o - 2*o - d*z, -o - z = -20100004. Round o to the nearest one million.
20000000
Let y = 1245.9397 - 1246. What is y rounded to 1 decimal place?
-0.1
Let t = -0.07231 + -3.84869. Round t to the nearest integer.
-4
Let d = 46 + 53. Let a = d - 99.028. Round a to 2 dps.
-0.03
Let o = 55.5 + -89. Let x = 82 + o. Round x to the nearest 10.
50
Let v = 29 + -29.05. Let p = -9.19166994 + 9.24167. Let k = p + v. Round k to seven decimal places.
0.0000001
Let r = 203 - 175.885. Let h = 29 - 2. Let f = r - h. What is f rounded to 2 dps?
0.12
Let f = -45 - -44. Let s be (-529055 - -53) + (0 - (f + -1)). What is s rounded to the nearest ten thousand?
-530000
Let k = 402.86 + -409. Let s = k + 0.14. Let y = s + 5.9995. What is y rounded to three dps?
-0.001
Let w = -23.18112 + 23.2. What is w rounded to 3 decimal places?
0.019
Let t = 66995619.0000068 + -66995635. Let w = 38 - 22. Let x = t + w. Round x to six dps.
0.000007
Suppose -3*f = 5 - 17. Suppose -f*d + x + 719 = -1079, 1352 = 3*d + x. Suppose 4*v - d = -v. Round v to the nearest 10.
90
Let z = 103.5 - 364.9. Round z to the nearest one hundred.
-300
Let o = 76 - 41. Suppose 0*l - u = -l + 10, -3*u - o = -4*l. Suppose 0 = 3*y + 3*c + 38988, 64996 = -l*y - 2*c + c. Round y to the nearest ten thousand.
-10000
Let j = -384553805088989718 + 384553808337610402.00000031. Let k = j - 3248620701. Let d = k + 17. What is d rounded to 7 decimal places?
0.0000003
Let b = -11.2 - -11. Let x = b - -0.20000495. Round x to six decimal places.
0.000005
Let z be 48/(-30) + 2 - 26/(-10). Suppose 5*t = -z*x - 213300020, -5*t + 284399980 = -8*x + 4*x. What is x rounded to the nearest one million?
-71000000
Let s = 228.9999962 + -229. Round s to six dps.
-0.000004
Suppose 5*k + 0*k = -9767235. Let s = k + 7703447. What is s rounded to the nearest one million?
6000000
Let m be -4 + 1/((-1)/(-8)). Let c(t) = -5 - 1 + m - 8334*t - 2. Let o be c(-6). What is o rounded to the nearest ten thousand?
50000
Let p = 1080.00639 + -1080. What is p rounded to three decimal places?
0.006
Let q = -38687 - -38844.893. Let n = q + 0.107. Let m = n + -158.000073. What is m rounded to 5 dps?
-0.00007
Let y = -30 - 146. Let h = -545 - y. Let p = 393.9 + h. What is p rounded to the nearest integer?
25
Let r = -0.0619 - 73.4781. Let h = r - -74. What is h rounded to two decimal places?
0.46
Let h = 177310 - 177324.9974. Let v = 14 + -29. Let p = v - h. What is p rounded to 3 dps?
-0.003
Let q = -236 + 544. Let w = q + -308.187. Let a = w - 1.143. What is a rounded to one decimal place?
-1.3
Let a = -0.217725 - 1.7823
|
{
"pile_set_name": "DM Mathematics"
}
|
c.
-7
Solve -37*f + 9 = -40*f for f.
-3
Solve 1 = 17*o - 16*o for o.
1
Solve -28*y - 14*y = -168 for y.
4
Solve -32*q - 134 = 186 for q.
-10
Solve -4 = -62*r + 61*r for r.
4
Solve 0 = 5*v - v for v.
0
Solve 18*a = -6 + 78 for a.
4
Solve 2519*q = 2531*q - 84 for q.
7
Solve 0 = -7*o - o - o for o.
0
Solve 327*r = 317*r for r.
0
Solve 3*w + 4 = -w for w.
-1
Solve 0 = -20*x + 29 + 11 for x.
2
Solve -82 = -21*p + 23 for p.
5
Solve -2*f - 5 = -3*f for f.
5
Solve -111*f = -42*f - 207 for f.
3
Solve -7*l - 7 + 0 = 0 for l.
-1
Solve 9 = 4*a + 1 for a.
2
Solve 0 = 5*r - 247 + 242 for r.
1
Solve -1303*q + 56 = -1295*q for q.
7
Solve -26*a = -18*a - 40 for a.
5
Solve -27*p - 25 = 29 for p.
-2
Solve -126*n = -130*n + 4 for n.
1
Solve 15*d + 13 = 88 for d.
5
Solve 61 = 5*h + 51 for h.
2
Solve 0 = 2*g - 33 + 41 for g.
-4
Solve 21*j = 24*j + 18 for j.
-6
Solve 6*f - 572 + 554 = 0 for f.
3
Solve -45*i = -41 - 4 for i.
1
Solve -2*i - 7 = 1 for i.
-4
Solve 4*a + 0 = -0 for a.
0
Solve 7*s = 12 + 16 for s.
4
Solve 6*l = -32 + 14 for l.
-3
Solve 0 = -9*u + 5*u - 4 for u.
-1
Solve -z - 146 + 140 = 0 for z.
-6
Solve 3*q + 1 + 8 = 0 for q.
-3
Solve -64*h + 41*h = -161 for h.
7
Solve 56 - 68 = -2*a for a.
6
Solve -745 = -9*f - 727 for f.
2
Solve -128 = -9*f - 92 for f.
4
Solve 10*n + 11 = 11 for n.
0
Solve -6*q + 5 = -7 for q.
2
Solve -2*q = 18 - 26 for q.
4
Solve -18*q - 688 = -544 for q.
-8
Solve 2*g = 6*g - 20 for g.
5
Solve -60*q + 68*q = 40 for q.
5
Solve 0 = -6*f - 23 - 1 for f.
-4
Solve -3*f - 2 = 10 for f.
-4
Solve 73*l + 109 = -183 for l.
-4
Solve 0 = -6*p - 668 + 704 for p.
6
Solve 4*v + 19 - 11 = 0 for v.
-2
Solve 90*h - 2*h - 88 = 0 for h.
1
Solve 2*g = -144*g + 876 for g.
6
Solve 58*o - 60*o + 14 = 0 for o.
7
Solve -26*o + 23*o + 15 = 0 for o.
5
Solve k + 24 = 16 for k.
-8
Solve -6 = -6*k - 36 for k.
-5
Solve 34*v - 55 = 115 for v.
5
Solve 33*a - 72 = 45*a for a.
-6
Solve 9*o = o - 32 for o.
-4
Solve 34*n + 152 = -4*n for n.
-4
Solve -7*c + 16 = -12 for c.
4
Solve 2*o - o + 4 = 0 for o.
-4
Solve -14 = 2*u - 6 for u.
-4
Solve -16 = -14*f + 12 for f.
2
Solve x - 1 = -4 for x.
-3
Solve -53 = -21*t + 31 for t.
4
Solve -78*v + 90*v = 12 for v.
1
Solve 36 = -14*n - 20 for n.
-4
Solve 21*b - 32 = 13*b for b.
4
Solve 148*t = -851 - 185 for t.
-7
Solve 0 = f - 27 + 31 for f.
-4
Solve 20*m - 12 - 8 = 0 for m.
1
Solve 3*s - 4*s + 1 = 0 for s.
1
Solve 19*p - 51 = 63 for p.
6
Solve 107*k - 198 = 74*k for k.
6
Solve 14*w + 74*w = 528 for w.
6
Solve 24 + 12 = 9*q for q.
4
Solve 443 = 3*t + 455 for t.
-4
Solve 36*z - 7 = -43 for z.
-1
Solve 207 - 237 = -15*y for y.
2
Solve 8*t = 11*t - 6 for t.
2
Solve 36*t = 21*t - 45 for t.
-3
Solve -6*s + 136 = 166 for s.
-5
Solve 10*h = 28 + 12 for h.
4
Solve 0 = -5*q + 9*q - 4 for q.
1
Solve 1039*q - 1048*q = 27 for q.
-3
Solve -14*g + 28*g = -98 for g.
-7
Solve 0*s = 6*s - 18 for s.
3
Solve 6*v = -3*v + 4*v for v.
0
Solve 0 = -24*t + 20*t for t.
0
Solve 2 - 8 = 3*k for k.
-2
Solve -18 + 18 = n for n.
0
Solve 38*n = 41*n + 6 for n.
-2
Solve 39*b - 51 = 27 for b.
2
Solve 5*a + 0*a = -25 for a.
-5
Solve -10*a + 72 = -46*a for a.
-2
Solve -10*g + 8*g - 10 = 0 for g.
-5
Solve 11*t - 1042 + 1053 = 0 for t.
-1
Solve 2*i = -31 + 29 for i.
-1
Solve 3*t - 6 = 9 for t.
5
Solve 0 = 54*q - 72*q + 108 for q.
6
Solve -6*u + 8 - 20 = 0 for u.
-2
Solve 18 = 2*r + 20 for r.
-1
Solve 0 = -4*z + 8*z for z.
0
Solve 4*a - 5*a - 4 = 0 for a.
-4
Solve 31 = 4*x + 39 for x.
-2
Solve 0 = 33*s - 39*s - 18 for s.
-3
Solve 33*b + 7*b + 120 = 0 for b.
-3
Solve 5*w = -21 - 4 for w.
-5
Solve -15*j = -16*j - 1 for j.
-1
Solve -26*w + 52*w = 52 for w.
2
Solve -20*d + 7 = -33 for d.
2
Solve -17*p = -139 + 54 for p.
5
Solve 8 = 44*r + 52 for r.
-1
Solve 0 = -9*b - 42 + 6 for b.
-4
Solve 4*u + 24 = 8*u for u.
6
Solve 17*n = 16*n + 7 for n.
7
Solve 6 = -f + 7*f for f.
1
Solve 20*d = 21*d + 1 for d.
-1
Solve -67 + 59 = 4*p for p.
-2
Solve -6*r - 4 = 14 for r.
-3
Solve 0 = -34*a + 11 - 45 for a.
-1
Solve -9*z - 21 = -6*z for z.
-7
Solve 3962*w = 3947*w - 150 for w.
-10
Solve -2*x = 5*x + 46*x for x.
0
Solve 5 = 7*s - 23 for s.
4
Solve 0 = -243*g + 247*g for g.
0
Solve -3*a - 64*a - 335 = 0 for a.
-5
Solve 12*w + 4*w - 15*w = 0 for w.
0
Solve -3 = 5*z - 8*z for z.
1
Solve 0 = -5*g + 2*g for g.
0
Solve -29 + 9 = -5*g for g.
4
Solve -76*u - 24 + 24 = 0 for u.
0
Solve 1 + 11 = -3*r for r.
-4
Solve -9*o + 13*o = 16 for o.
4
Solve -11 = 9*r - 47 for r.
4
Solve 44 - 88 = -4*s for s.
11
Solve -2*m = -3*m - 1 for m.
-1
Solve w - 9 = -14 for w.
-5
Solve 0 = -22*g + 27*g - 5 for g.
1
Solve 0 = -26*g + 21*g + 15 for g.
3
Solve 4*c + 8 = 2*c for c.
-4
Solve -254*c - 10 = -264*c for c.
1
Solve 8*p = 7*p - 5 for p.
-5
Solve 7*s + 17 = -18 for s.
-5
Solve 129*h - 178*h + 294 = 0 for h.
6
Solve -92 = 15*l - 47 for l.
-3
Solve 0*f + 3*f + 6 = 0 for f.
-2
Solve 3*i - 162 = -144 for i.
6
Solve 13*r - 4 = 12*r for r.
4
Solve 0 = -9*h - 2808 + 2763 for h.
-5
Solve -69*f = -96*f for f.
0
Solve 57 - 29 = -4*j for j.
-7
Solve 0 = 14*o - 26*o + 36 for o.
3
Solve 72 = 5*a - 17*a for a.
-6
Solve -5*k = -27*k + 110 for k.
5
Solve -10*l + 0*l + 10 = 0 for l.
1
Solve -9*w + 71 = 26 for w.
5
Solve 0 = -48*f + 54*f + 18 for f.
-3
Solve -3 - 3 = 6*r for r.
-1
Solve 94*y - 4 = 98*y for y.
-1
Solve -u + 4 = -1 for u.
5
Solve 0 = -45*g + 58*g + 65 for g.
-5
Solve -26*h + 25*h + 3 = 0 for h.
3
Solve 2*q - 9*q + 7 = 0 for q.
1
Solve -2*v = -2 - 6 for v.
4
Solve -2*o = 2217 - 2199 for o.
-9
Solve -8*c + 6*c - 6 = 0 for c.
-3
Solve -49*v = -28*v - 84 for v.
4
Solve 18 - 14 = -d for d.
-4
Solve -3*d + 18 = 6 for d.
4
Solve -4*n + 11*n - 21 = 0 for n.
3
Solve -2*f + 7 - 11 = 0 for f.
-2
Solve 18*n + 154 = 100 for n.
-3
Solve -6*a = -18*a - 72 for a.
-6
Solve 0 = -9*w - 24 + 69 for w.
5
Solve -12*f = -20 - 4 for f.
2
Solve -107*s + 251 - 786 = 0 for s.
-5
Solve -156 = -56*c + 68 for c.
4
Solve 3*j + 47 = 62 for j.
5
Solve 6*y = 3*y - 9 for y.
-3
Solve -27*y + 10 + 17 = 0 for y.
1
Solve -3*h - 1 - 11 = 0 for h.
-4
Solve -28 = -18*q + 44 for q.
4
Solve -4*h + 5*h - 1 = 0 for h.
1
Solve 36 = -38*q + 188 for q.
4
Solve 112*i - 116*i = -8 for i.
2
Solve 2*g + 9 = 15 for g.
3
Solve -14*w + 30*w - 32 = 0 for w.
2
Solve -13 = -11*m - 79 for m.
-6
Solve 88*o = -13*o for o.
0
Solve 2*x = -10*x + 3*x for x.
0
Solve 0 = 24*w - 71*w + 329 for w.
7
Solve -184*p + 15 = -187*p for p.
-5
Solve -33*c - 15 + 81 = 0 for c.
2
Solve -122*j + 135*j - 39 = 0 for j.
3
Solve 6 = 5*i - 4 for i.
2
Solve 57*r - 62*r - 50 = 0 for r.
-10
Solve -161 = 11*z + 12*z for z.
-7
Solve -71 + 71 = 7*l for l.
0
Solve -2*h - 17*h = -114 for h.
6
Solve -197 + 709 = -128*p for p.
-4
Solve 21*b + 56*b - 308 = 0 for b.
4
Solve 0 = 144*u - 149*u - 15 for u.
-3
Solve -277 - 113 = 65*k for k.
-6
Solve 7*c - 111 = -97 for c.
2
Solve 610 - 150 = 92*a for a.
5
Solve -5*y = -7*y - y for y.
0
Solve -n - 10*n - n = 0 for n.
0
Solve -4*t = 7 - 23 for t.
4
Solve 0 = -3*v + v + 10 for v.
5
Solve 5*s - 16 + 31 = 0 for s.
-3
Solve -5*d - 24 + 4 = 0 for d.
-4
Solve -30 = -202*q + 207*q for q.
-6
Solve 3*i + 0 = 9 for i.
3
Solve 72 = -6*v + 84 for v.
2
Solve g - 70 = -13*g for g.
5
Solve -12*m + 39*m = 108 for m.
4
Solve 38 = -5*f + 43 for f.
1
Solve -17*f = 15*f - 224 for f.
7
Solve 57*d = 22*d for d.
0
Solve 0 = -4*k - 1566 + 1570 for k.
1
Solve 2*s - 25 = -3*s for s.
5
Solve 0 = -6*a + 75 - 57 for a.
3
Solve -16*s + 12*s = 12 for s.
-3
Solve 4*l = 103 - 131 for l.
-7
Solve -625*z - 4 = -621*z for z.
-1
Solve 68*n = 99*n - 155 for n.
5
Solve 4*x + 79 - 123 = 0 for x.
11
Solve 9*w + 2*w = -66 for w.
-6
Solve 0 = 19*i + 40*i - 236 for i.
4
Solve 0 = -13*u - 7*u for u.
0
Solve 306 = -58*d - 42 for d.
-6
Solve -234*i - 72 = -242*i for i.
9
Solve -11*g + 5*g = -7*g for g.
0
Solve -12*z + 44 - 140 = 0 for z.
-8
Solve 9*f = 8*f - 5 for f.
-5
Solve 25 = -m + 23 for m.
-2
Solve -b = -5*b - 8 for b.
-2
Solve 0 = 23*m + 16*m + 78 for m.
-2
Solve 6*q - 640 + 646 = 0 for q.
-1
Solve 0 = -4*w - 14 - 6 for w.
-5
Solve 7 + 35 = 7*j for j.
6
Solve -12 + 0 = -3*w for w.
4
Solve 10*l + 3 = 9*l for l.
-3
Solve -154*i = -149*i - 5 for i.
1
Solve -1 = 3*r - 10 for r.
3
Solve 6*f = 9*f for f.
0
Solve 13 = -2*v + 3 for v.
-5
Solve -40*j = -121 + 1 for j.
3
Solve 44 = 206*d - 195*d for d.
4
Sol
|
{
"pile_set_name": "DM Mathematics"
}
|
- 11. Calculate l*s(j) - 6*n(j).
j**3 - 3*j**2 - j - 2
Let q(j) = 2*j**3 + 16*j + 1282. Let z(x) = x**3 + 5*x + 422. What is 2*q(u) - 7*z(u)?
-3*u**3 - 3*u - 390
Let a(p) = 1170*p - 1. Let h(x) = 11711*x - 11. What is -21*a(t) + 2*h(t)?
-1148*t - 1
Let m(z) = -6*z + 5. Let o(c) be the third derivative of 0 + 4*c**2 + 1/3*c**3 + 0*c - 1/8*c**4. Suppose -70*f + 69*f - 7 = 0. What is f*o(k) + 3*m(k)?
3*k + 1
Let c(i) be the first derivative of i**2 - 3*i + 36. Suppose -53 = 11*v - 9. Let t(b) = -b + 2. Let w = 26 - 29. Calculate v*t(z) + w*c(z).
-2*z + 1
Let d(a) = a**2 + 4*a + 3. Suppose 227 = -3*l + 245. Suppose 4*u - l*u + 8 = 0. Let p(h) = h**2 + 5*h + 4. What is u*d(o) - 3*p(o)?
o**2 + o
Let z(r) = 23*r + 2. Let g(o) = -6 + 15 - 828*o + 920*o. Give -2*g(x) + 9*z(x).
23*x
Let s(c) be the first derivative of c**3 - 6*c**2 + 4*c - 11842. Let g(x) = -13*x**2 + 48*x - 17. Give 2*g(d) + 9*s(d).
d**2 - 12*d + 2
Let t(d) = d**3 + 5*d**2 + 2*d + 1. Let f(m) = -1647*m**3 - 180*m**2 - 72*m - 36. Give f(l) + 36*t(l).
-1611*l**3
Let z(g) = -49095*g**2 - 125*g - 125. Let b(w) = 2338*w**2 + 6*w + 6. Calculate -125*b(t) - 6*z(t).
2320*t**2
Let b(l) = 58. Let w(j) = 11. Let i(y) = -b(y) + 5*w(y). Let u(v) = -v**2 - 2. Suppose 0 = -4*m + m. Let x be 2 + 3/(-6)*m. Calculate x*i(z) - 3*u(z).
3*z**2
Let k(n) = 34*n**2 - 20*n - 28. Let w(d) = 68*d**2 - 43*d - 60. Calculate 13*k(m) - 6*w(m).
34*m**2 - 2*m - 4
Let o(l) = -13*l**3 - 12*l - 8. Let m(i) = -i**3 - 1. Give -6*m(r) + o(r).
-7*r**3 - 12*r - 2
Let i(u) = -33*u - 8. Suppose 105*s - 33*s - 22 = -670. Let o(p) = 8*p + 2. What is s*o(z) - 2*i(z)?
-6*z - 2
Let b(c) = 535*c + 14. Let d(v) = 264*v + 8. What is 5*b(i) - 9*d(i)?
299*i - 2
Let h(m) = -14*m**2 - 5*m - 264. Let v(y) = -3*y**2 - y + 3. Determine -h(z) + 4*v(z).
2*z**2 + z + 276
Let z(f) = -f + 1. Suppose -103*q + 99*q - x = 2, 27 = -3*q - 5*x. Let u(i) = -3*i + 20. Calculate q*u(h) - 6*z(h).
3*h + 14
Let o = 2 - -1. Let j = -4 + o. Let c(t) = t - 1. Let z(l) = l**2. Let v(p) = -3*p**3 - 12*p**2 + 6*p - 6. Let f(h) = v(h) + 10*z(h). Calculate j*f(s) + 6*c(s).
3*s**3 + 2*s**2
Let o(p) = -76*p + 5. Let r be o(0). Let h(a) = 2*a**3 - a**2 + 3*a + 5. Let q(c) = -3*c**3 + 2*c**2 - 5*c - 9. Calculate r*h(d) + 3*q(d).
d**3 + d**2 - 2
Let p(z) = 2*z**2 + z**2 + z - 4*z**2. Let i = 297400 + -297401. Let h(c) = 4*c**2 - 2*c. What is i*h(t) - 2*p(t)?
-2*t**2
Let k(x) = -x**2 - 79*x + 251. Let g be k(3). Let o(m) = m**3 + 18*m**2 - 4. Let z(f) = -f**3 - 17*f**2 + 3. Give g*z(v) + 4*o(v).
-v**3 - 13*v**2 - 1
Let d(v) = -532*v**2. Let g(l) = 13*l**2. Suppose -773 = n - 2*y - 777, 26 = 4*n + 2*y. Calculate n*d(h) + 247*g(h).
19*h**2
Let k(o) = 6*o**2 - 651*o - 10. Let z(u) = 5*u**2 - 652*u - 7. Give 2*k(c) - 3*z(c).
-3*c**2 + 654*c + 1
Let x be (-30)/27 + 504/(-567). Let p(r) = -6*r**2 - 18*r - 7. Let n(h) = 0*h + 4*h + 2 + 2*h**2 + 4*h - 2*h. Give x*p(c) - 7*n(c).
-2*c**2 - 6*c
Let c(s) = 7584*s - 5. Let n(b) = -15165*b + 12. Determine -7*c(v) - 3*n(v).
-7593*v - 1
Let j(o) = 585*o**3 - 9*o**2 + 58*o + 432. Let x(d) = -292*d**3 + 4*d**2 - 29*d - 192. Calculate 4*j(k) + 9*x(k).
-288*k**3 - 29*k
Let o(b) = -4*b. Let m(w) = 63*w. Let r = -1 - 2. Suppose -101 = 5*n - 121, -4*n - 82 = 2*x. What is r*m(f) + x*o(f)?
7*f
Let a(g) be the second derivative of 1/12*g**4 + 1/2*g**2 + 0 - 1/6*g**3 - 18*g. Let m(j) = 3*j**3 - 18*j**2 + 18*j - 18. Calculate 18*a(o) + m(o).
3*o**3
Let q(a) = 5*a - 19. Let n(v) = -14*v + 58. Let j(x) = -426*x - 4680. Let i be j(-11). Calculate i*n(f) + 17*q(f).
f + 25
Let v be 2 + ((-525)/60 - (-1 + (-2)/(-8))). Let x be -4*4/(16/5). Let s(b) = -3*b**2 - 8*b + 5. Let r(h) = 4*h**2 + 9*h - 6. Give v*s(l) + x*r(l).
-2*l**2 + 3*l
Let f(w) be the third derivative of w**5/60 - w**4/6 - 5*w**3/6 - 6*w**2. Let a = 1404 + -1402. Let l(j) = -j**2 + 2*j + 2. What is a*f(r) + 5*l(r)?
-3*r**2 + 2*r
Let v(c) = 2150*c**2 + 301. Let n(j) = -39*j**2 + 328*j - 2. Let h(m) = 38*m**2 - 410*m + 1. Let i(t) = -4*h(t) - 5*n(t). What is 301*i(b) - 6*v(b)?
43*b**2
Let w(j) = 41*j - 68. Let d(h) = -30*h + 71. Determine 4*d(b) + 3*w(b).
3*b + 80
Let c(j) = 57*j - 94. Let o(q) = 132*q - 186. Calculate -7*c(z) + 3*o(z).
-3*z + 100
Let z(s) = 11*s - 277. Let u(o) = o + 92. Determine u(y) + z(y).
12*y - 185
Let x(o) = 669*o**2 + 2*o - 4. Let c(h) = -2012*h**2 - 6*h + 14. Determine 2*c(m) + 7*x(m).
659*m**2 + 2*m
Let m(j) = -j. Let o(g) = 4*g**2 - 4*g. Let r = 102 - 97. Let p be -4*(r/10)/(1/(-2)). Determine p*m(c) - o(c).
-4*c**2
Let h(n) = 8*n**2 + 41*n + 26. Let d(g) = 6*g**2 + 41*g + 14. Calculate -3*d(v) + 2*h(v).
-2*v**2 - 41*v + 10
Let n(o) = 205*o**3 + 16*o - 5. Let a(y) = 205*y**3 + 12*y - 5. Determine -4*a(i) + 3*n(i).
-205*i**3 + 5
Let j(g) = -2*g**3 + 3*g**2 + 2*g - 4. Let n(k) = 4*k**2 - 106397914*k**3 + 2*k + 0*k + 106397911*k**3 - 5. Determine -5*j(w) + 4*n(w).
-2*w**3 + w**2 - 2*w
Let x(i) = -469412340*i**3 - 143671*i**2 - 143671*i - 1724052. Let b(k) = -13069*k**3 - 4*k**2 - 4*k - 48. What is 143671*b(w) - 4*x(w)?
13061*w**3
Let i(y) = -5*y**2 + 0*y + 0*y - 4. Let n(v) = 11*v**2 + 9. Let g = -90 - -93. Suppose 0 = -2*u - g*t - 9, -u = -6*u + 2*t - 51. Determine u*i(o) - 4*n(o).
o**2
Let x(p) = -2*p**2 + 6*p - 1. Let b(z) = 3*z**2 - 11*z + 2. Let y(t) = -12*t**3 - 76 + 13*t**3 + 98 + 33*t + 18*t**2. Let m be y(-16). Give m*b(j) + 11*x(j).
-4*j**2 + 1
Let k be -6 + 4/2*(2 + -1). Let s(y) = -6*y - 3. Let a = 4 + -4. Let p be (-36)/(-9) - (1 - a). Let d(r) = -5*r - 2. Determine k*d(u) + p*s(u).
2*u - 1
Let r(g) = -23*g - 1. Let d(l) = 18*l**2 + 163*l + 6. Give -2*d(c) - 14*r(c).
-36*c**2 - 4*c + 2
Let f(v) = 46*v**2 + 41*v - 14. Let c(i) = 15*i**2 + 12*i - 4. What is -14*c(o) + 4*f(o)?
-26*o**2 - 4*o
Suppose 38 = 6*l + 32. Let a be (1*l/(-2))/(14/280). Let z(c) = -14*c + 10. Let m(n) = -5*n + 3. Determine a*m(j) + 3*z(j).
8*j
Let c(v) = 373*v + 38. Let u(y) = 374*y + 29. Determine 3*c(o) - 4*u(o).
-377*o - 2
Let k be 0 + 1/((-4)/(-72)). Let a(z) = -5*z + 9. Let h(t) = 6*t - 20 + 35 - 17 - 5*t. Let w be (0 + 2)/((-2)/(-4)). Determine k*h(g) + w*a(g).
-2*g
Let y(n) = 3*n**2 - 169*n + 61. Let m(s) = s**2 - 2*s + 13. Determine -5*m(v) + y(v).
-2*v**2 - 159*v - 4
Let s(g) be the third derivative of -7*g**4/24 + g**3/2 + 4418*g**2. Let w(p) = -8*p + 3. Give -3*s(j) + 4*w(j).
-11*j + 3
Let m(j) = 14493*j**3 - 7*j**2 + 7*j - 7. Let a(x) = -21740*x**3 + 10*x**2 - 10*x + 10. Calculate 7*a(l) + 10*m(l).
-7250*l**3
Let p(h) = 22*h + 108 - 110 - 10*h - 11*h. Let f(c) = -2. What is 4*f(w) - 3*p(w)?
-3*w - 2
Let v(p) = -p**3 - p**2 + p. Let o(g) = -5*g**2 - 23*g - 33. Let d(k) = -k**2 - 7*k - 11. Let i(b) = 7*d(b) - 2*o(b). Calculate i(a) + 3*v(a).
-3*a**3 - 11
Let k = 34875 - 34883. Let p(c) = -5*c**2 - 5*c - 5. Let l(g) = -2*g**2 - 2*g - 2. Calculate k*l(q) + 3*p(q).
q**2 + q + 1
Let b(d) = 6*d**2 - 6*d - 5. Let h = -22 + 23. Let t(o) = 362*o**2 - 363*o**2 + 1 - 4*o + 5*o + 0*o. Suppose 13*z = 10*z + 15. Give h*b(v) + z*t(v).
v**2 - v
Let t(f) = -f**3 + f - 1. Let z(b) = 1 + 1451*b + 2*b**3 - 477*b - 478*b - 497*b. Suppose -5*o + 4 = -1. What is o*z(g) + t(g)?
g**3
Let m(q) = 15*q - 5. Suppose -6*b + 157427 - 157421 = 0. Let n(z) = z + 1. What is b*m(l) + 3*n(l)?
18*l - 2
Let u(v) = -10*v**2 + 5*v - 3096. Let p(z) = -7*z**2 + 4*z - 3096. What is -4*p(j) + 3*u(j)?
-2*j**2 - j + 3096
Let d(k) = 3*k**3 + 2*k**2 - 2*k - 4. Let o(v) = -v**3 + v - 43 - v**2 - v**3 + 46. Let z = -133 - -130. Calculate z*d(t) - 4*o(t).
-t**3 - 2*t**2 + 2*t
Let r(m) = -54646*m. Let l(j) = -7286*j. Calculate 38*l(p) - 5*r(p).
-3638*p
Let a(f) = 2*f - 19. Suppose 7*g - 3*m + 9 = 0, 252*g - 253*g = 5*m + 23. Let c(y) = y - 10. What is g*a(o) + 5*c(o)?
-o + 7
Let x(a) = -11*a**2 + 13*a - 7. Let h(r) = 5*r**2 - 6*r + 3. Let c = 1632 + -1014. Suppose -617*o = -c*o - 6. What is o*x(b) - 13*h(b)?
b**2 + 3
Let h(t) = -t**2 - t - 2. Suppose -2 = -7*q + 6*q. Let v(d) = -137 + d + 137. What is q*v(b) + h(b)?
-b**2 + b - 2
Let y(c) = -c**2 + 1. Let l(k) = -2*k**2 - k. Suppose 16*q + 179 = -173 + 368. Give q*l(o) + y(o).
-3*o**2 - o + 1
Let l(h) = -121 + h**3 + 42 + 43 + 34 + 5*h**2. Suppose -4*g - 4*x = -8, 4*g = 2*x - 0*x + 8. Let r(w) = -2*w**2 + 1. Calculate g*l(s) + 5*r(s).
2*s**3 + 1
Let a(y) = y**2 + y. Supp
|
{
"pile_set_name": "DM Mathematics"
}
|
is divided by u?
20
Let l(v) = -23*v + 2509. What is the remainder when 1132 is divided by l(102)?
154
Let o = -12 - -14. Suppose 3*c + o*c = 2*c. Suppose 0 = 3*w - 3*k - c*k - 12, 2*w = -k + 17. What is the remainder when w is divided by 2?
1
Suppose 5833 - 20463 - 5902 = -87*d. What is the remainder when d is divided by 44?
16
Let y(t) = 45*t - 146. Let p be y(8). Let u = p - 150. What is the remainder when u is divided by 25?
14
Suppose -22*g + 8759 = -1471. Let i = 509 - g. Calculate the remainder when 129 is divided by i.
41
Calculate the remainder when (364*(3 + (-11)/4))/1 is divided by 80.
11
Let u(g) = 4*g + 7. Let b = 16988 + -16775. What is the remainder when b is divided by u(6)?
27
Let a(c) = -2*c**3 + 36*c**2 + 85*c - 797. What is the remainder when a(15) is divided by 29?
1
Let y(k) = 12*k**3 - 2*k**2 + 5*k - 4. Let c be y(1). Suppose -c*u + 77 = -11. What is the remainder when 8 is divided by u?
0
Let f(l) = l**3 - 4*l**2 + 10*l - 10. Let t be 5*1 + 1*(11 + -12). What is the remainder when 357 is divided by f(t)?
27
Let m = -704 - -1026. Let z = -226 + m. What is the remainder when z is divided by -6 - -2 - (-8 - (3 + 3)) - -4?
12
Let y be (-36)/(-8) - 30/12. Suppose 2*g - 16 = -y*g, -3*l + 316 = 4*g. Calculate the remainder when l is divided by 16.
4
Suppose 873*n - 877*n - v + 2551 = 0, 5*n - 5*v - 3170 = 0. What is the remainder when n is divided by 110?
87
Suppose -2*d + d = -5*h + 80, -3*d = -4*h + 75. Suppose 0 = 5*z, -h*z = 4*f - 17*z - 40. Suppose 5*w - 2 = 4*w. What is the remainder when f is divided by w?
0
Suppose 0 = 2*h - 3*m + 1 + 1, 0 = -m. Let p(w) = 31*w**2 + 4*w + 4. What is the remainder when 45 is divided by p(h)?
14
Suppose -5*t = k - 250, -5*k + 474 = -3*k - 3*t. Suppose -2*l + k = 8*l. Calculate the remainder when l is divided by (32/5)/((40/25)/4).
8
Suppose -5*x = -0*x - 25. Suppose 0 = 45*k - 37*k - 128. Let p(y) = y**2 - 17*y + 25. What is the remainder when p(k) is divided by x?
4
Let p be (-7)/(42/(-366)) - (-2 + 0). Let j = 284 - p. Calculate the remainder when j is divided by 14.
11
Suppose 5*x = 2*x + 99. Let q be (-10)/5*2 - (-35 + -1). Suppose -56 + 152 = q*s. Calculate the remainder when x is divided by s.
0
Let z = 4055 + -4044. Suppose 5*u + 28 - 3 = 0. Let m = 44 - u. Calculate the remainder when m is divided by z.
5
Suppose 0 = 15*r + 10 - 55. Suppose 8*d + 1482 = 3*b + 5*d, r*b = -4*d + 1489. Calculate the remainder when b is divided by 50.
45
Let g = -244 - -225. Suppose 3*l = 36 + 36. Let r = l + g. What is the remainder when 19 is divided by r?
4
Suppose 10*k - 220 = -16*k + 170. What is the remainder when 216 is divided by k?
6
Let p be ((-1 - 1) + 4)/(12/18). Suppose 2*b - 47 = 4*r - 15, p*r + 54 = 4*b. Calculate the remainder when b is divided by 2.
0
Let r = -1862 + 1902. Calculate the remainder when -2 + (194 - (1 + -1)) is divided by r.
32
Let t = 21 - 23. Let x be (t/(-2))/((12/9)/4). Suppose 5*z - 10 = 0, x*z = -5*m + 2*z + 187. What is the remainder when m is divided by 8?
5
Let l be 36/(-45)*(-1910)/4. Suppose l = -9*u - 86. Let b = 87 + u. What is the remainder when 68 is divided by b?
33
Suppose -2*y + 32 = 2*o - 54, y - 195 = -5*o. Suppose 92*s = 90*s + o. What is the remainder when 144 is divided by s?
11
Let x be 0*(2 + 6/(-6)*1). Suppose -g - 3*c + 0*c + 48 = x, 0 = -4*g + 2*c + 206. Calculate the remainder when 192 is divided by g.
39
Let d = -189 - -56. Let t = d - -138. What is the remainder when 88 is divided by t?
3
Let w(c) = c**2 - 13*c + 9. Let x be w(13). Let s(k) = 7*k**2 - 61*k - 6. What is the remainder when 30 is divided by s(x)?
6
What is the remainder when 608 is divided by (-43)/((-86)/312) + -2 + 6?
128
Suppose -x - 60717 = -2*k + 16396, -5*x + 154233 = 4*k. Calculate the remainder when k is divided by 40.
37
Let y = 2018 + -2000. Calculate the remainder when 880 is divided by y.
16
Suppose 527*n - 14291 = 496*n. What is the remainder when n is divided by 21?
20
Let c(j) = 32*j + 144. Let g be c(-15). Suppose -2*k + 26 = -12. What is the remainder when k is divided by (-3)/(-2)*g/(-72)?
5
Let q(k) = -3*k**2 - 22*k + 5. Let s be q(-7). Let h(v) = -26 + 0*v + 5 + 6*v - 3*v. What is the remainder when 42 is divided by h(s)?
12
Let r = 772 - 751. Let v(s) be the first derivative of 5*s**4/2 + 2*s + 1. Calculate the remainder when v(2) is divided by r.
19
Calculate the remainder when 449 is divided by -14*(-30)/140 + 48 + 2 + -3.
49
Suppose 0 = -4*q - h + 189 + 269, -5*q + 569 = 3*h. What is the remainder when q is divided by 6?
1
Let h = 75 + -70. Let v be 106/22 + (-2)/(-11). Suppose z + 57 = 4*z - 5*t, -h*z = -v*t - 95. Calculate the remainder when 53 is divided by z.
15
Let b = 8 + 16. Suppose -5*s - 3*i = -27, 2*s = -0*s + 5*i - 14. Suppose 4*g = 3*f + 66, s*f - 5*f = -g + 19. Calculate the remainder when b is divided by g.
9
Let s = 9594 - 9329. What is the remainder when 4495 is divided by s?
255
Suppose -4*z + 13*g = 11*g - 8, -4*z - 4*g - 16 = 0. Suppose v + 0*f - 391 = -4*f, 4*v - 2*f - 1474 = z. What is the remainder when v is divided by 34?
31
Suppose 12*f - 3829 - 1286 = f. What is the remainder when f is divided by 159?
147
Suppose 13*f = -20*f - 7*f + 240. Suppose -5*l + 9 = 5*x - 1, 10 = 5*x - l. What is the remainder when f is divided by x?
0
Let p(d) = -11*d**3 + d**2 - 4*d - 6. Let t be p(-1). Suppose -t*w - q - 1134 = -15*w, 0 = q + 4. What is the remainder when w is divided by 46?
42
What is the remainder when 3890 is divided by 43 - (10/(-5)*2)/(-2)?
36
Let j(s) = 10*s - 58. Let q(b) = -b**2 - 10*b - 7. Let h be q(-8). Calculate the remainder when 49 is divided by j(h).
17
Let o(d) = -d**2 - 38*d + 1982. What is the remainder when 226 is divided by o(-67)?
31
Let i(n) = -164*n - 4789. What is the remainder when 652 is divided by i(-30)?
128
Let m = -2660 + 2806. What is the remainder when 341 is divided by m?
49
Let h be -3*2/27 - (-740)/90. Suppose h*o - 128 = 4*o + 5*q, -4*o - 5*q = -168. What is the remainder when 66 is divided by o?
29
What is the remainder when 872 is divided by (329 - 255)*1/(1*2) - 2?
32
Suppose 0 = -11*x - 0*x - 15*x + 5044. Calculate the remainder when 1742 is divided by x.
190
Let i be ((-34)/6 + -2)*-3. Suppose 19*d - i*d + 4*u + 80 = 0, 3*d - 5*u = 66. Calculate the remainder when 49 is divided by d.
15
Let d(z) = -13*z**2 + 8*z + 3. Let t(n) = 9*n**2 - 6*n - 2. Let k(v) = -5*d(v) - 7*t(v). Calculate the remainder when k(4) is divided by 24.
15
Let l(o) be the third derivative of o**4/4 - o**3/6 + 9*o**2. Let z be l(-5). Let g = z - -38. Calculate the remainder when 19 is divided by g.
5
Suppose 20*p - 280 - 28 = 252. What is the remainder when 4114 is divided by p?
26
Let d(w) = w**2 - 19*w + 91. Suppose 3*y + y - 4*u = 240, 2*y + 3*u = 120. Calculate the remainder when y is divided by d(14).
18
Suppose -3*r + 4*j + 51 + 8 = 0, 0 = -4*j + 16. Suppose 0 = -o - 5*m + 71, 3 - 6 = -3*m. Calculate the remainder when o is divided by r.
16
Suppose x = -10*g + 15*g + 20, x - 23 = 2*g. What is the remainder when 2747 is divided by x?
22
Let q be 0/(-14)*1/3. Suppose 2*s + 5*u = 31, -s - 4*u + 14 + 9 = q. Let n(j) = 40*j - 19. Calculate the remainder when n(s) is divided by 21.
17
What is the remainder when 1533/(-315) - 6/45 - (2 + -55) is divided by 12?
0
Suppose -2*k - 5*s = -0*k - 45, 5*s = 5. Let x be 8 + (4 - (0 + 2)). What is the remainder when 5/50 + 1149/x is divided by k?
15
Suppose 2*m = -1 - 13, 2*x - 519 = 5*m. What is the remainder when x is divided by 48?
2
Calculate the remainder when 21 is divided by ((-5)/(-20))/(5 + -7 + 105/52).
8
Let g(d) = 3*d - 17. What is the remainder when g(18) is divided by (-91 - -96)/(3*(-15)/(-171))?
18
Let c = 1233 - 1218. Calculate the remainder when c is divided by 11.
4
Suppose 0*q + 3*n = q - 303, 0 = -q + 4*n + 305. Calculate the remainder when q is divided by 138.
21
What is the remainder when ((-783)/(-58))/(-9) + 2/4*235 is divided by 7?
4
Let c = -289 - -455. What is the remainder when 467 is divided by c?
135
Let n = 196 - -16. Let u(y) = y**2 - 54*y + 684. What is the remainder when n is divided by u(36)?
32
Let o(l) = 823*l - 3213. What is the remainder when 787 is divided by o(4)?
76
Suppose 4*x = 4*y + 84, 5*x - 3*y + y = 90. Let k be 180/240*584/6. S
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{
"pile_set_name": "DM Mathematics"
}
|
13*k(l)?
61*l**3 - 41*l
Let u(b) = 6*b + 2. Let n(v) = 8*v + 483. What is n(s) - u(s)?
2*s + 481
Let l(j) = -j + 1. Let k(n) = 9*n - 9 + 60*n - 71*n. Give k(f) + 2*l(f).
-4*f - 7
Let h(m) = -m**3 - 24*m**2 - m. Let l(o) = 7*o**3 - 398*o**2 + 6*o + 2. Give 6*h(d) + l(d).
d**3 - 542*d**2 + 2
Let h(y) = -2. Let j(n) = 9*n - 6. What is 5*h(u) + j(u)?
9*u - 16
Let n(k) = -204*k**3 + 7*k**2 + 6*k + 10. Let l(d) = -103*d**3 + 4*d**2 + 4*d + 6. What is -7*l(y) + 4*n(y)?
-95*y**3 - 4*y - 2
Let h(t) = -35*t + 45. Let w(r) = -2. Give 2*h(n) + 50*w(n).
-70*n - 10
Let x(u) = u**2 + 4*u - 7. Let h(c) be the third derivative of -c**3 + 1/8*c**4 + 2 + 0*c + 54*c**2 + 1/60*c**5. What is -7*h(a) + 6*x(a)?
-a**2 + 3*a
Let i(t) = -58*t**3 + 2*t**2 - 3*t + 12. Let x(a) = 290*a**3 - 11*a**2 + 16*a - 66. Calculate -33*i(r) - 6*x(r).
174*r**3 + 3*r
Let j(p) = -5*p + 44. Let f(x) = -374 + 361 + 35 - 2*x. Calculate 9*f(w) - 4*j(w).
2*w + 22
Let j(l) = l + 1. Let y(a) = 2 + 0*a + 2*a + 0*a - a**3. Suppose 0 = 40*z + 11342112 - 11342272. Calculate z*j(w) - 2*y(w).
2*w**3
Let k = -4 + 18. Let v = -23 - -19. Let i(w) = -177 - 3*w + 86 + 91. Let m(y) = -y. Calculate k*m(q) + v*i(q).
-2*q
Let c be (6232/380 + (-32)/(-20))*4/(-18). Let o(f) = -3*f. Let v = 6 - 13. Let x(k) = 7*k. Give c*x(d) + v*o(d).
-7*d
Let w(a) = 11*a**2 + 17*a - 5. Let b(d) = -5*d**2 - 7*d + 2. Give 10*b(g) + 4*w(g).
-6*g**2 - 2*g
Let f(x) = 97*x. Let a(n) = 487*n - 262. Give 2*a(c) - 10*f(c).
4*c - 524
Let x(h) = -2*h - 4. Let g(m) be the first derivative of 3*m**2/2 + 3*m + 1487. Give 3*g(l) + 4*x(l).
l - 7
Let q(d) = -198*d - 12. Let b(o) = -7*o - 1. Determine 28*b(g) - 2*q(g).
200*g - 4
Let u be -15 + 7 + (15 - 0) - (-12)/(-3). Let r(p) = -21*p - 7. Let g(w) = -10*w - 3. What is u*r(s) - 7*g(s)?
7*s
Let t(y) be the second derivative of 3*y**5/20 - 10*y**4/3 + 11*y**3/6 + 11*y**2/2 + 6477*y. Let b(l) = l**3 - 13*l**2 + 4*l + 4. Calculate 11*b(g) - 4*t(g).
-g**3 + 17*g**2
Let z(m) = -m**3 - 7*m**2 + 18*m + 1. Let t be z(2). Let x(j) = -j**3 - 14 + 4 + 11. Let v(f) = -13*f**3 + 2. What is t*v(r) - 2*x(r)?
-11*r**3
Let b(z) = 47*z - 310. Let y(g) = -39*g + 308. Give 5*b(r) + 6*y(r).
r + 298
Let g(l) = -29*l**3 + 5*l**2 - 5*l + 5. Let p(j) = -204*j**3 + 34*j**2 - 34*j + 34. Let x = 6069 + -6035. Give x*g(s) - 5*p(s).
34*s**3
Let m(n) = -24*n**2 + 4*n - 26. Let o(b) = -12*b**2 + 2*b - 12. Calculate 2*m(f) - 5*o(f).
12*f**2 - 2*f + 8
Let t = 5 - -4. Suppose -28 = -t*z + 26. Let d(q) = 2*q**3 + 6*q + 6. Let b(n) = 3*n**3 + 5*n + 5. Calculate z*b(c) - 5*d(c).
8*c**3
Let j = 11 + -25. Let x(t) = t - 3. Let v(m) = -114*m - 16. Let h(a) = -59*a - 1. Let d(o) = 2*h(o) - v(o). Determine j*x(g) - 3*d(g).
-2*g
Let m(v) = -1. Let f(h) = 10*h + 275. Let b be f(-27). Suppose b*g = 2*t + 2*t + 25, -3*t = -5*g + 25. Let j(p) = -3*p - 3. Give g*m(d) - j(d).
3*d - 2
Let c(s) = -s**2 - 476*s + 8390. Let k be c(17). Let n(x) = 10*x. Let b(g) = -20*g + 1. Calculate k*n(f) + 4*b(f).
10*f + 4
Let w(m) = 19*m**3 + 5*m - 5. Let u be (-4 + -22 + -1)/(-1) + -3. Suppose 22*v + 16 = u*v. Let l(i) = 29*i**3 + 8*i - 8. What is v*w(f) - 5*l(f)?
7*f**3
Let a(t) = 80*t**2 + 34*t + 8. Let d(h) = h**2 + 4. Give -a(y) + 2*d(y).
-78*y**2 - 34*y
Let i(h) = 3*h - 2247. Let n(q) = 4*q - 2263. What is -6*i(w) + 5*n(w)?
2*w + 2167
Let r(g) = 43*g - 2. Let f(z) = -256*z + 12. Let y(w) = -f(w) - 6*r(w). Let n(v) = -3*v. Suppose i - 4*a = 25, -5*i + a + 30 = -0*i. What is i*y(s) - 2*n(s)?
-4*s
Let s(u) = -8*u**3 + 6*u**2 - 3*u. Let i(w) = -7*w**3 + 5*w**2 - 2*w. Let h = 40961 + -40958. Determine h*i(f) - 2*s(f).
-5*f**3 + 3*f**2
Let v(i) be the first derivative of i**2 - i - 1003. Let r(a) = a**2 - 11*a + 13. Let m be r(10). Let x(d) = 2*d + 0*d - m*d + 0*d. Give -v(j) - 3*x(j).
j + 1
Let j(m) = 35*m - 9 - 31*m - 22. Let z be j(9). Let c(w) = 3*w**3 + 11*w**2 + 8*w - 3. Let s(r) = 2*r**3 + 7*r**2 + 5*r - 2. Calculate z*c(u) - 8*s(u).
-u**3 - u**2 + 1
Let r = 10936 + -10939. Let c(v) = -v**3 - 3*v**2 - 4*v + 32. Let o(a) = -a**2 - a. Determine r*o(y) + c(y).
-y**3 - y + 32
Suppose 0 = 3*a + a + 4*k + 48, -5*k = -4*a - 75. Let d(z) = 2*z - 5. Let t(p) be the first derivative of -2*p + 145 + 1/2*p**2. Calculate a*t(r) + 6*d(r).
-3*r
Let x(l) = 11*l - 6. Let y(s) = -929*s + 5570. Let d be y(6). Let n(u) = 5*u - 3. Calculate d*x(f) + 9*n(f).
f - 3
Let d(i) = 99*i - 20. Let h(p) = -p + 8. Determine d(u) + 3*h(u).
96*u + 4
Let v(b) = 13*b**3 + 4*b - 4. Let m(l) = -5*l**3 - 12*l**2 - l + 1. Let w(p) = -4*p**3 - 9*p**2 - p + 1. Let h(k) = 3*m(k) - 4*w(k). Give 4*h(d) - v(d).
-9*d**3
Let c(r) = -r**3 + 20*r**2 - 6. Let p(u) be the second derivative of -u**4/12 + u**2/2 - 4*u - 104. What is -c(d) - 6*p(d)?
d**3 - 14*d**2
Let f(r) = 27803803*r - 113890. Let w(o) = -4883*o + 20. What is 2*f(i) + 11389*w(i)?
-4881*i
Let a(x) = -2*x**3 + 5*x**2 + 3*x + 3. Let y(g) be the first derivative of -3*g**4/2 + 16*g**3/3 + 5*g**2 + 10*g - 1598. Determine 10*a(m) - 3*y(m).
-2*m**3 + 2*m**2
Let z(q) = 98*q. Let a = -19216 - -19221. Let j(k) = -147*k. Determine a*j(p) + 7*z(p).
-49*p
Let w(m) = 2*m**2 - 4*m - 1060. Let h(l) = l - 12. Determine 4*h(u) + w(u).
2*u**2 - 1108
Let w(v) = 205*v**3 + 9*v**2 - 15*v + 5. Let t(h) = 204*h**3 + 11*h**2 - 18*h + 6. Calculate 5*t(z) - 6*w(z).
-210*z**3 + z**2
Let b(m) = -558*m + 189*m + 186*m + 184*m. Let r(q) = q + 2. Let l(h) = 4*h + 7. Let i(x) = 2*l(x) - 7*r(x). What is 7*b(k) - 4*i(k)?
3*k
Let r(x) = -284*x + 128. Let n(i) = 4*i - 14. What is 10*n(l) + r(l)?
-244*l - 12
Let b(w) = -9*w - 2902. Let n(o) = -38*o - 11609. What is 17*b(m) - 4*n(m)?
-m - 2898
Let v(h) = 77*h**2 + 9*h + 60. Let m(s) = -116*s**2 - 14*s - 93. What is 5*m(x) + 8*v(x)?
36*x**2 + 2*x + 15
Let v(f) = 179*f**3 - 2*f**2 - 34*f. Let n(z) = 896*z**3 - 11*z**2 - 185*z + 1. What is 2*n(h) - 11*v(h)?
-177*h**3 + 4*h + 2
Let q(m) = -41*m**2 - 9*m - 299. Let y(a) = 64*a**2 + 15*a + 449. Determine 8*q(c) + 5*y(c).
-8*c**2 + 3*c - 147
Let v(s) = 9*s - 4. Suppose 19*c + 11*c - 1530 = 0. Suppose -32*m = -c*m + 114. Let o(y) = -y + 1. Determine m*o(g) + v(g).
3*g + 2
Let h = 19 + -21. Let d(q) = 2*q**3 + 2*q**2 - 2*q + 7. Let m(p) = -191295 + 4*p**3 + p + 191310 + 5*p**2 - 6*p. What is h*m(a) + 5*d(a)?
2*a**3 + 5
Let o(s) = s**2 + s + 1. Let u(j) = 2*j**3 - 5*j**2 - 4*j - 4. Suppose -9*x + 301 = 2*y - 4*x, 5*y - 737 = 3*x. Let n = -147 + y. Calculate n*u(q) + 4*o(q).
2*q**3 - q**2
Let t(y) = y**3 - 2*y**2 - 2*y + 2. Let n(z) = -z**3 + 5*z**2 + 3*z - 5. Suppose -2*c = 21*r - 22*r - 5, 2*c + 3*r = 1. What is c*n(g) + 5*t(g)?
3*g**3 - 4*g
Let l(j) = 7*j**2 - 2*j + 2. Let k(g) = 3*g**2 - g + 1. Suppose 3*h + 207 - 9 = 0. Let d = 62 + h. Determine d*l(x) + 10*k(x).
2*x**2 - 2*x + 2
Let j(h) = -109*h**2 - 2797*h + 4. Let b(s) = -136*s**2 - 2798*s + 5. Calculate -4*b(l) + 5*j(l).
-l**2 - 2793*l
Let j(m) = -m**2 + 4*m - 7. Let w = 45 + -41. Suppose 6 = 4*g - 2*b, -14 = -3*g - w*b + 18. Let p(u) = -g - 10 - u**2 + 10 + 2*u. What is 3*j(t) - 5*p(t)?
2*t**2 + 2*t - 1
Let b(i) be the second derivative of -7*i**3/3 - 3*i**2/2 - 2*i. Let k(p) be the second derivative of 13*p**3/6 + p**2 - 2347*p. Determine 2*b(t) + 3*k(t).
11*t
Let o = 264 - 264. Suppose -26 = -3*t + 4*f, o*f - 6 = 3*f. Let r(b) = 3*b**3 - 6*b - 6. Let h(a) = -5*a**3 + 11*a + 11. What is t*h(p) + 11*r(p)?
3*p**3
Let r(v) = v**2 - 5*v - 3. Let a(p) = 6*p + 4 + p**2 - 4*p**2 + 2*p**2. Suppose 0 = 31*n - 4 - 27. Let s be ((-6)/8)/(n/2)*2. Give s*a(g) - 4*r(g).
-g**2 + 2*g
Let z(j) = 660*j**3 - j + 0*j - 661*j**3 - 5773 + 5773. Let q(s) = -3*s**3 + 8*s. Give -q(a) - 4*z(a).
7*a**3 - 4*a
Let m(i) = -1483*i - 43. Let t(k) = 370*k + 10. Determine 2*m(y) + 9*t(y).
364*y + 4
Let m(i) = 15*i - 4. Let p be (286/(-39) + (-2)/(-6))*-62. Let t(l) = p - 218 - 218 + 5*l + 2*l. Determine 6*m(c) - 13*t(c).
-c + 2
Let r(o) = 18*o - 261. Let y be r(15). Let a(u) = 89*u**2. Let i(t) = 22*t**2. Give y*i(m) - 2*a(m).
20*m**2
Let h(x) = -4*x**2 + x. Let u(b) = 594*b**3 + 34*b**2 - 9*b + 1. What is 8*h(m) + u(m)?
594*m**3 + 2*m**2 - m + 1
Let w(d) = -2*d + 1. Let q(h) = -13*h + 14. Let b(u) = q(u) - 3*w(u). Let g(m) = -20*m + 26*m + 18*m - 29*m - 21 + 18*m. What is 11*b(i) + 6*g(i)?
i - 5
Suppose 3*u + 18 - 9 = 0. Let h be u - (3/(-6) - 4/(-8
|
{
"pile_set_name": "DM Mathematics"
}
|
ing 2 h and 2 o when four letters picked without replacement from {z: 1, o: 7, h: 5, c: 6}.
35/646
Calculate prob of picking 1 o and 1 t when two letters picked without replacement from ltoouou.
1/7
Four letters picked without replacement from wuiiiwuwiwuiiiuuwuu. What is prob of picking 3 i and 1 w?
175/3876
What is prob of picking 2 j and 1 z when three letters picked without replacement from zuujjzjzz?
1/7
What is prob of picking 2 h, 1 x, and 1 u when four letters picked without replacement from hxhxxhhu?
9/35
What is prob of picking 4 j when four letters picked without replacement from {j: 4}?
1
Calculate prob of picking 2 m and 1 n when three letters picked without replacement from zmnzznnzzmnzz.
2/143
What is prob of picking 2 w when two letters picked without replacement from {w: 9, a: 11}?
18/95
What is prob of picking 1 y, 1 r, 1 x, and 1 k when four letters picked without replacement from {r: 2, b: 2, k: 1, x: 1, y: 1}?
2/35
Two letters picked without replacement from {q: 2, b: 6, u: 2, v: 3}. What is prob of picking 1 q and 1 u?
2/39
Four letters picked without replacement from {i: 3, v: 1, l: 3, r: 1, h: 1, p: 2}. What is prob of picking 3 i and 1 r?
1/330
What is prob of picking 1 z and 1 j when two letters picked without replacement from {z: 4, j: 10, n: 1, y: 4, o: 1}?
4/19
Calculate prob of picking 1 e, 1 g, and 1 i when three letters picked without replacement from {n: 2, e: 2, i: 1, g: 4}.
2/21
Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {v: 5, c: 2, g: 4, r: 7}.
28/153
Four letters picked without replacement from jzczu. Give prob of picking 2 z, 1 j, and 1 c.
1/5
What is prob of picking 3 o when three letters picked without replacement from loooool?
2/7
Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {d: 1, f: 2, j: 1, v: 5}.
1/36
Two letters picked without replacement from {o: 1, y: 1, n: 2}. What is prob of picking 2 n?
1/6
Four letters picked without replacement from xkkrsvsvsskrssr. What is prob of picking 1 v, 1 x, and 2 r?
2/455
Calculate prob of picking 2 g and 1 p when three letters picked without replacement from kwwgkgwwwppgdwwkgkwm.
1/95
Two letters picked without replacement from {y: 8, x: 5, t: 1, f: 2}. What is prob of picking 1 f and 1 x?
1/12
Calculate prob of picking 1 x and 1 b when two letters picked without replacement from qxubxbxuuqbbqxqbbu.
8/51
Four letters picked without replacement from {u: 3, z: 1, g: 1}. What is prob of picking 3 u and 1 z?
1/5
What is prob of picking 1 b and 2 w when three letters picked without replacement from bbbwbbwwbbbwwwbwwwww?
33/76
Calculate prob of picking 3 r and 1 k when four letters picked without replacement from rofkrrfouor.
2/165
Three letters picked without replacement from rmrmrmmrrmrrm. What is prob of picking 3 m?
10/143
Four letters picked without replacement from {m: 3, n: 5}. What is prob of picking 4 n?
1/14
Two letters picked without replacement from {x: 1, t: 1, f: 1, b: 2, i: 1, l: 1}. Give prob of picking 1 l and 1 x.
1/21
Calculate prob of picking 2 o when two letters picked without replacement from {b: 1, o: 3}.
1/2
Three letters picked without replacement from jqqjqqgjjjjkjjqqqj. What is prob of picking 2 q and 1 j?
63/272
Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {u: 1, q: 3}.
1/2
What is prob of picking 1 m and 1 v when two letters picked without replacement from jftmifjjjifvjmfjfvjj?
2/95
Two letters picked without replacement from {x: 8, n: 2, q: 3, z: 4}. Give prob of picking 2 n.
1/136
Two letters picked without replacement from pwphpxlhphlfhhhhlwhf. What is prob of picking 1 l and 1 p?
6/95
Two letters picked without replacement from yyhyhhhhhhhyy. Give prob of picking 2 y.
5/39
Four letters picked without replacement from qqjqbabqjqqbb. What is prob of picking 2 q and 2 b?
18/143
What is prob of picking 2 n and 2 a when four letters picked without replacement from nammanaaaama?
7/165
Calculate prob of picking 1 e and 1 d when two letters picked without replacement from dldleleleee.
2/11
What is prob of picking 1 j and 1 u when two letters picked without replacement from fjcbcaafu?
1/36
Four letters picked without replacement from {o: 3, q: 2, m: 7, z: 6, k: 1}. What is prob of picking 2 z and 2 o?
15/1292
Three letters picked without replacement from {g: 4, j: 1, i: 1, q: 1, z: 1}. What is prob of picking 1 q, 1 i, and 1 z?
1/56
What is prob of picking 2 z and 1 a when three letters picked without replacement from {e: 4, a: 1, z: 7, h: 1, o: 4}?
21/680
Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {y: 1, k: 1, t: 1, a: 2}.
1/10
What is prob of picking 2 t when two letters picked without replacement from htthttttht?
7/15
What is prob of picking 2 w when two letters picked without replacement from qmqqwwwqq?
1/12
Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {z: 1, v: 1, i: 1}.
1/3
Four letters picked without replacement from uuuvuvuv. Give prob of picking 3 v and 1 u.
1/14
What is prob of picking 2 d and 2 c when four letters picked without replacement from yzycrzdccdddyrdz?
3/182
Four letters picked without replacement from fxxlfxlollo. What is prob of picking 1 f, 2 l, and 1 o?
4/55
What is prob of picking 4 z when four letters picked without replacement from {z: 9, e: 9}?
7/170
Calculate prob of picking 2 w and 2 b when four letters picked without replacement from {t: 9, b: 2, w: 5}.
1/182
Calculate prob of picking 1 g and 1 r when two letters picked without replacement from oojregrrobgr.
4/33
Two letters picked without replacement from {n: 5, q: 14}. What is prob of picking 2 n?
10/171
Two letters picked without replacement from {u: 1, b: 1, t: 5, q: 2}. What is prob of picking 2 t?
5/18
Calculate prob of picking 2 t, 1 i, and 1 v when four letters picked without replacement from {i: 2, v: 5, t: 13}.
52/323
Calculate prob of picking 1 s and 3 m when four letters picked without replacement from {m: 11, s: 9}.
99/323
Two letters picked without replacement from {u: 8, o: 2, t: 5, i: 2, v: 2}. What is prob of picking 2 t?
10/171
Three letters picked without replacement from {d: 2, e: 1, l: 1}. Give prob of picking 2 d and 1 e.
1/4
Three letters picked without replacement from tpbtkvtptktkkb. Give prob of picking 2 b and 1 k.
1/91
What is prob of picking 2 p when two letters picked without replacement from {s: 2, d: 4, p: 4}?
2/15
Two letters picked without replacement from bzmxgzzzzmmbzzmzmxzz. What is prob of picking 2 z?
9/38
Three letters picked without replacement from cuxwxwcuwwcwwnxcw. Give prob of picking 2 w and 1 n.
21/680
Two letters picked without replacement from {z: 2, o: 9, b: 8}. What is prob of picking 1 b and 1 o?
8/19
Calculate prob of picking 4 s when four letters picked without replacement from {h: 3, w: 1, s: 4, e: 1, n: 1, q: 4}.
1/1001
Three letters picked without replacement from smssssssmsss. Give prob of picking 3 s.
6/11
What is prob of picking 1 n and 1 x when two letters picked without replacement from {n: 2, x: 5, d: 1, b: 1}?
5/18
What is prob of picking 1 d and 1 w when two letters picked without replacement from {m: 1, l: 1, w: 5, d: 1, z: 6}?
5/91
Three letters picked without replacement from yyhyyyyyhyyhyyhmh. What is prob of picking 2 h and 1 m?
1/68
Two letters picked without replacement from {o: 4, k: 10}. What is prob of picking 2 k?
45/91
Four letters picked without replacement from dkkkkkkkkdkdkkkdkkkd. Give prob of picking 4 k.
91/323
Two letters picked without replacement from {n: 2, w: 2, x: 1, t: 1, l: 1, d: 2}. What is prob of picking 1 d and 1 w?
1/9
What is prob of picking 2 i and 1 f when three letters picked without replacement from jmfiimemm?
1/84
Three letters picked without replacement from ffzhffpooozl. What is prob of picking 1 z, 1 f, and 1 h?
2/55
Two letters picked without replacement from yljgeyq. Give prob of picking 1 y and 1 q.
2/21
Two letters picked without replacement from adsqaaaqdadaba. Give prob of picking 1 q and 1 a.
2/13
Four letters picked without replacement from {d: 2, n: 8, x: 5}. What is prob of picking 2 n and 2 x?
8/39
What is prob of picking 1 w, 1 v, and
|
{
"pile_set_name": "DM Mathematics"
}
|
6 = -3*m - 0*m. What is the third derivative of -k**2 - k**2 - k**3 - 2*k**3 + 0*k**m wrt k?
-18
Let u(b) = -b**3 - b**2 - b + 1. Let c(a) = -4*a**4 - 18*a**3 - 18*a**2 - 18*a + 22. Let x(d) = -2*c(d) + 36*u(d). Find the first derivative of x(i) wrt i.
32*i**3
Let a(k) be the first derivative of -8*k**3/3 - 6*k**2 - 3. What is the second derivative of a(v) wrt v?
-16
Suppose 8*u = 22 + 26. Let x = -8 - -11. What is the derivative of 5*v - 4 - x*v - u*v wrt v?
-4
Let d(l) = 8*l**3 - 6*l**2 + 33. Let v(s) = 7*s**3 - 5*s**2 + 33. Let i(w) = 5*d(w) - 6*v(w). What is the derivative of i(x) wrt x?
-6*x**2
Let y be ((-27)/90)/((-6)/5). Let k(a) be the second derivative of a - 1/20*a**5 + y*a**4 + 0*a**3 + 0*a**2 + 0. What is the third derivative of k(c) wrt c?
-6
Let d(i) be the first derivative of -2*i**7/105 + i**5/20 + i**2 - 2. Let a(f) be the second derivative of d(f). What is the third derivative of a(y) wrt y?
-96*y
Let j = -580 + 23201/40. Let u(n) be the third derivative of 0*n**3 + 0*n + 0*n**4 + j*n**6 + 1/30*n**5 + 2*n**2 + 0. Find the third derivative of u(i) wrt i.
18
Let z be -4*((-3)/(-6) + -1). Find the third derivative of m**z - 1 + 1 - 2*m**2 + 2*m**5 wrt m.
120*m**2
Find the second derivative of -b**3 - 3*b - 2*b - 2*b**3 wrt b.
-18*b
Let p(s) = -2*s + 1. Let y(c) = c**2 - 11*c + 6. Let m(o) = -22*p(o) + 4*y(o). What is the derivative of m(v) wrt v?
8*v
Let z(u) be the first derivative of -u + 0*u**2 - 3 + 7/3*u**3. Differentiate z(s) with respect to s.
14*s
Let g(a) be the third derivative of 0*a - 4*a**2 + 0*a**4 - 1/20*a**5 + 0 - 1/6*a**3. Differentiate g(p) with respect to p.
-6*p
Find the second derivative of 4*d**5 - 6*d + 12*d - 4*d wrt d.
80*d**3
Let x be (3 + 0)*(0 + 1). Differentiate x + 1 + 5*f - 5*f - 2*f**4 wrt f.
-8*f**3
Suppose 5*i - i - 12 = 0. Let n be 6/2 - ((-6)/(-2))/(-3). What is the second derivative of -4*t - 5*t**i - 3*t**3 + n*t**3 wrt t?
-24*t
Let j(w) = -22*w**3 - 6*w. Let h(t) = 7*t**3 + 2*t. Let l = 1 + 1. Let r(x) = l*j(x) + 7*h(x). Find the second derivative of r(f) wrt f.
30*f
Let n(g) be the second derivative of 7*g**4/6 - 23*g**3/6 + 22*g. What is the second derivative of n(l) wrt l?
28
Let u be -1*(-15)/9*3. What is the derivative of -4*c**4 - u + 7 - c**4 wrt c?
-20*c**3
Let t(g) be the second derivative of g**6/3 + 13*g**3/2 + 42*g. Find the second derivative of t(u) wrt u.
120*u**2
Find the second derivative of -z**4 + 3*z - z**4 + 4*z wrt z.
-24*z**2
Suppose 0 = 2*j + j - 6. Let s(c) = c**3 - 5*c**2 + c - 4. Let r be s(5). What is the second derivative of o**5 + j*o + 1 - r wrt o?
20*o**3
Let q(x) be the first derivative of -2 + 1/2*x**2 + 1/6*x**4 + 0*x**3 + x. Let t(c) be the first derivative of q(c). Differentiate t(z) wrt z.
4*z
Let y(b) be the first derivative of 3/2*b**2 + 3 + b. Differentiate y(d) wrt d.
3
Let l(r) = r**2 + 9*r + 6. Let j be l(-9). Suppose 8 = j*q - 2*q. Find the third derivative of -a**3 - q*a + 2*a + 3*a**3 + 2*a**2 wrt a.
12
Let z(f) = -35*f**3 + 30*f**2 - 5*f - 5. Let r(h) = -h**3 - h**2 + h + 1. Let p(a) = -5*r(a) - z(a). Find the third derivative of p(q) wrt q.
240
Let z(a) be the second derivative of a**6/10 - 7*a**3/6 - 2*a. What is the second derivative of z(y) wrt y?
36*y**2
Let b(p) be the second derivative of 0*p**2 + 3/20*p**5 + 0 + 0*p**4 + 3*p + 1/2*p**3. Find the second derivative of b(c) wrt c.
18*c
Let f be (-2 - -7)*6/15. Let s(u) be the first derivative of u**f - 2 + 3*u + 1 - 5*u. What is the first derivative of s(p) wrt p?
2
Let h(z) be the second derivative of -z**6/60 + z**4/6 + 9*z**2/2 - z. Let t(s) be the first derivative of h(s). What is the second derivative of t(u) wrt u?
-12*u
What is the second derivative of 30 + 3*z - 2 + 61*z**3 - 2 - 4*z wrt z?
366*z
Let d = 17 + -12. Let m(z) = 5*z**3 + 6*z**2 - 6*z + 1. Let x(l) = 4*l**3 + 5*l**2 - 5*l + 1. Let u(r) = d*m(r) - 6*x(r). Differentiate u(c) with respect to c.
3*c**2
Let a(p) = 20*p**2 - 20*p - 5. Let x(o) = -o - 1. Let k(c) = 2*a(c) - 10*x(c). What is the second derivative of k(s) wrt s?
80
What is the third derivative of -4*x**4 + 2*x**2 - 3*x**2 - 5*x**4 - 3*x**2 wrt x?
-216*x
Let k = 5 + -3. Suppose -k*o = -7*o + 15. Differentiate -o + 0 + 2*w**2 + 1 wrt w.
4*w
Let h(b) = -b - 1. Let q(v) = -v - 3. Let j(f) = 7*h(f) - 4*q(f). Differentiate j(s) with respect to s.
-3
What is the derivative of 7409 - 7382 - 11*g - 19*g wrt g?
-30
Let z = -10 + 10. What is the second derivative of z*y - 53*y**5 + y + 58*y**5 wrt y?
100*y**3
Differentiate 31 + l - 1105*l**2 + 1104*l**2 - 3*l wrt l.
-2*l - 2
Let v(m) be the first derivative of 26*m**7/7 - 7*m**3/3 - 16. Find the third derivative of v(l) wrt l.
3120*l**3
Differentiate 29 + 20*t**4 + 14*t**3 + 2 - 19*t**4 wrt t.
4*t**3 + 42*t**2
Find the third derivative of -10 + 10 + 19*r**4 + 9*r**2 wrt r.
456*r
Let t(k) be the second derivative of 1/2*k**3 + 0 + 0*k**2 + 0*k**4 - 1/4*k**5 - 2*k. What is the second derivative of t(n) wrt n?
-30*n
Let b(l) be the first derivative of 4*l**5 + 4*l**3/3 + 6. Find the third derivative of b(y) wrt y.
480*y
Suppose n = 5*n - 28. What is the derivative of -n + v**4 + 3*v**4 + 4 wrt v?
16*v**3
Let i(m) = m. Let t be i(3). Find the third derivative of p**3 + p**2 - 2*p**t + p**2 wrt p.
-6
What is the third derivative of -9*f**4 - 8*f**3 + 8*f**3 + 10*f**2 wrt f?
-216*f
Find the first derivative of -7*t**4 + 3*t**4 + 6 + 4 wrt t.
-16*t**3
Let v(k) be the first derivative of 11*k**5/5 + 14*k + 17. Differentiate v(m) with respect to m.
44*m**3
Let c(r) = -18*r**4 - 7*r**2 - 2. Let z(j) = 6*j**4 + 2*j**2 + 1. Let y(w) = 2*c(w) + 7*z(w). Find the first derivative of y(n) wrt n.
24*n**3
Let p(y) be the third derivative of 9*y**7/35 + y**4 - 8*y**2. What is the second derivative of p(c) wrt c?
648*c**2
Let z(j) = -j**5 - j**4 + j**2 + j. Let i(m) = -21*m**5 - 3*m**4 + 3*m**2 + 6*m - 2. Let k(t) = -i(t) + 3*z(t). Find the second derivative of k(x) wrt x.
360*x**3
Suppose -2*y + 0 = -6. Suppose 12 = k + y*k. Differentiate s**2 + k - 5*s**2 + 3*s**2 with respect to s.
-2*s
Let v(b) be the third derivative of 23*b**6/120 + 7*b**5/20 - 23*b**2. Find the third derivative of v(l) wrt l.
138
What is the derivative of 82*a**3 + a - 71*a**3 - 1 + 61 wrt a?
33*a**2 + 1
Let s(b) be the first derivative of -11*b**3/3 + 6*b + 13. What is the first derivative of s(x) wrt x?
-22*x
Let r(m) = m**2 - 10*m + 12. Let o be (-2)/(-5) + 129/15. Let t be r(o). What is the second derivative of 5*x**4 - t*x - 3*x**4 + x wrt x?
24*x**2
Let g(a) be the third derivative of -a**8/48 + 7*a**4/24 + 5*a**2. What is the second derivative of g(z) wrt z?
-140*z**3
What is the third derivative of 3*o**2 - 4*o**2 + 2*o**2 + 9*o**5 - 2*o**2 wrt o?
540*o**2
Let b = -6 - -7. Differentiate 6*a**2 - 8*a**2 - b + 0 - a**2 with respect to a.
-6*a
Let h(x) be the third derivative of -25*x**4/24 - 29*x**3/6 + x**2 - x. Differentiate h(i) with respect to i.
-25
Let d(z) be the second derivative of -2*z**6/15 - z**5/20 - 11*z**4/12 + 48*z. Find the third derivative of d(l) wrt l.
-96*l - 6
Let h(l) be the third derivative of -22*l**7/105 + l**5/60 - 51*l**2. What is the third derivative of h(z) wrt z?
-1056*z
Let n(b) be the first derivative of 0*b**2 + 2/3*b**3 + 0*b**5 + 1/2*b**6 + 0*b**4 + 1 + 0*b. What is the third derivative of n(i) wrt i?
180*i**2
Let g = 5 + -2. Suppose -g = -3*z + 3. What is the second derivative of 2*y**2 + 0*y**2 + z*y**2 - 2*y - 2*y**2 wrt y?
4
Differentiate -2*t + 5*t - 3*t + 2 + 3*t with respect to t.
3
Let g(t) = 8*t**4 + 3*t**3 - 13*t**2 + 3*t. Let o(d) = 24*d**4 + 8*d**3 - 40*d**2 + 8*d. Let p(b) = -8*g(b) + 3*o(b). Find the third derivative of p(v) wrt v.
192*v
Let b(w) = 10*w**2 + 31*w - 4. Let o(s) = -21*s**2 - 62*s + 7. Let f(c) = 7*b(c) + 4*o(c). Find the second derivative of f(p) wrt p.
-28
Let n = 1 - -9. Suppose n*t - 5*t = 10. Find the third derivative of -4 + 4 + 3*l**3 - t*l**2 wrt l.
18
Let l(r) = 2*r**2 + 2*r + 3. Let g(f) = -5*f**2 - 4*f - 5. Let v(j) = -6*g(j) - 10*l(j). Find the second derivative of v(n) wrt n.
20
Let y = 16 - -18. Suppose y = -5*g + 4. Let l(q) = -2*q**2 - 5*q + 6. Let z(w) = w - 1. Let t(u) = g*z(u) - l(u). What is the second derivative of t(d) wrt d?
4
Let p(z) be the third derivative of z**4/3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let b be u(-5). Suppose 2/7*f**b - 2/7*f + 0 = 0. Calculate f.
0, 1
Let s(t) be the third derivative of t**6/900 + t**5/450 - t**4/180 - t**3/45 + 41*t**2 + 2. Determine j so that s(j) = 0.
-1, 1
Let 2/7*d + 1/7 - 4/7*d**2 + 3/7*d**4 - 2/7*d**3 = 0. Calculate d.
-1, -1/3, 1
Let d(b) = -54*b - 51. Let l be d(-6). Let i be (6 - l/49)/((-3)/(-8)). Factor -i*z - 16/7*z**2 + 0 - 10/7*z**3 - 2/7*z**4.
-2*z*(z + 1)*(z + 2)**2/7
Factor 47/5*x - 1/5*x**2 + 0.
-x*(x - 47)/5
Suppose -8*k - 13*k = -2*k. Let m(z) be the second derivative of 1/15*z**3 - 1/60*z**4 + 0 + k*z**2 - 4*z - 1/100*z**5. Factor m(s).
-s*(s - 1)*(s + 2)/5
Suppose 3*i - 57 = -14*i - 2*i. Factor -p**2 + 4 + 2*p - 1/2*p**i.
-(p - 2)*(p + 2)**2/2
Let j(w) be the third derivative of 1/24*w**3 - 1/280*w**7 + 1/120*w**5 - 1/24*w**4 + 0 + 1/120*w**6 + 0*w - 29*w**2. Find f, given that j(f) = 0.
-1, 1/3, 1
Suppose 12 + 21 = 11*d. Let m(p) be the second derivative of 0*p**2 + 1/12*p**4 - 1/6*p**7 + 0 + 1/3*p**d - 3/4*p**5 + 19/30*p**6 + 3*p. Factor m(z).
-z*(z - 1)**3*(7*z + 2)
Let i be ((-228)/(-22) + -10)/((-3)/(-6)). Determine n, given that -2/11*n - 8/11*n**4 + i*n**2 + 0 + 2/11*n**3 = 0.
-1, 0, 1/4, 1
Let r(p) be the third derivative of -6/5*p**6 - 8*p**3 + 9/10*p**7 - 22/5*p**5 - 2*p**2 + 0*p + 10*p**4 + 27/112*p**8 + 5. Solve r(h) = 0 for h.
-2, 1/3, 2/3
Let p be 98/114 + 1/(-3). Let m = 973/10 - 18347/190. Suppose -p*r - m*r**2 + 4/19 = 0. Calculate r.
-1, 2/7
Let g be (1 + 1/2)/(13/(520/30)). Factor 5/7*j - 1/7*j**g - 6/7.
-(j - 3)*(j - 2)/7
Let q(s) be the first derivative of s**6/720 - s**4/12 - s**3 + s**2/2 - 52. Let t(x) be the third derivative of q(x). Factor t(b).
(b - 2)*(b + 2)/2
Let r(j) be the first derivative of -j**6/12 - j**5/10 + 3*j**4/8 + j**3/6 - j**2/2 + 2. Solve r(c) = 0 for c.
-2, -1, 0, 1
Factor -19776 - 26*j + 774*j - 58*j + 59451 + 3*j**2.
3*(j + 115)**2
Let g(t) be the first derivative of -5*t**6/3 - 15*t**5 - 45*t**4/2 + 5*t**3/3 + 15*t**2 - 32. What is p in g(p) = 0?
-6, -1, 0, 1/2
Let u(p) = -5*p**3 - 90*p**2 - 167*p + 2422. Let i(k) = -10*k**3 - 180*k**2 - 335*k + 4845. Let g(j) = -2*i(j) + 5*u(j). Factor g(m).
-5*(m - 4)*(m + 11)**2
Factor -5*i**5 + 20*i**2 + 10*i**2 + 5*i - 10*i**4 - 20*i**2.
-5*i*(i - 1)*(i + 1)**3
Let 14/11*m**3 - 10/11*m**2 - 14/11*m - 2/11*m**4 + 12/11 = 0. What is m?
-1, 1, 6
Find a such that 44*a**4 + 31 + 4*a + 4*a**5 + 3656*a**2 - 3744*a**2 - 8*a**3 + 13 = 0.
-11, -1, 1
Let h(l) be the third derivative of l**6/480 + l**5/48 - l**4/96 - 5*l**3/24 - l**2 + 39. Let h(a) = 0. What is a?
-5, -1, 1
Let i(o) be the first derivative of 3*o**6/2 - 26*o**5/5 - o**4 + 40*o**3/3 - 709. What is f in i(f) = 0?
-10/9, 0, 2
Let r be ((-1)/15)/((-8)/(-620)) - (-2640)/440. Factor r*l - 2/3 - 1/6*l**2.
-(l - 4)*(l - 1)/6
Let y(p) = -p**3 + 2*p**2 + 1. Let h(w) = -4*w**3 - 2096*w**2 + 371712*w - 21807096. Let l(q) = h(q) - 8*y(q). Factor l(r).
4*(r - 176)**3
Let a(w) be the second derivative of -w**7/1540 + w**6/660 - w**5/660 + 13*w**4/12 - 9*w. Let u(b) be the third derivative of a(b). Factor u(f).
-2*(3*f - 1)**2/11
Let w(c) be the second derivative of c**5/30 - c**4/12 - 21*c**2/2 + 2*c. Let n(x) be the first derivative of w(x). Factor n(i).
2*i*(i - 1)
Suppose -5*a - 31 = 6*m - 4*m, 0 = -3*m + 2*a - 94. Let b = m + 31. Suppose 0 + 8/5*u**2 + 0*u - 2/5*u**b = 0. What is u?
0, 4
Suppose -1 = -d + 1. Solve 33*t**3 + 8*t + 87*t**2 - d*t - 48*t**2 = 0 for t.
-1, -2/11, 0
Let s = -47373/7 + 6768. Factor -18/7 + s*u + 6/7*u**2.
3*(u + 2)*(2*u - 3)/7
Let c(v) be the first derivative of 1 + v + 1/18*v**4 - 2/9*v**3 + 1/3*v**2. Let o(p) be the first derivative of c(p). Solve o(k) = 0.
1
Suppose 0 = -3*d - 3*z + 12, d = 6*d - 5*z - 40. Let v = d - 2. Let 4*l + 3*l**2 - v*l**2 + 3*l**2 - 2*l**3 = 0. What is l?
-1, 0, 2
Let -14023*g**2 - 7*g**4 + 14063*g**2 - 3*g**4 + 5*g**3 - 20*g = 0. Calculate g.
-2, 0, 1/2, 2
Let v be 18/15 - (-1)/(-5) - 5. Let r be -5 + (-1595)/(-315) - v/18. Factor 0*h + 0 + 0*h**2 - r*h**4 + 2/7*h**3.
-2*h**3*(h - 1)/7
Let o be ((-1)/(-6))/(-1) - 429/378. Let f = o + 379/63. Suppose -36/7*k + 75/7*k**4 + 90/7*k**3 - f*k**2 + 12/7 = 0. What is k?
-1, 2/5
Let z be 2 + ((-16)/4 - -2). Suppose -4*n - 2*o - 2 = 0, 4*o = -z*n + 4*n - 28. Factor -10*x**2 + 4*x - 4 + 21*x**2 - 7*x**n - 4*x**3.
-4*(x - 1)**2*(x + 1)
Suppose 4*c - 48 = 44. Suppose -h + 3*m = -3 - 6, -5*m - c = -3*h. Factor v**5 - v + 2*v**2 + h*v**2 - 2*v**4 + 0*v**2 - 6*v**2.
v*(v - 1)**3*(v + 1)
Determine d, given that 384 - 16*d + 1/6*d**2 = 0.
48
Let v be 0*((-396)/(-22))/(-36). Factor -2/17*k**4 + 0 + 0*k**2 + v*k - 8/17*k**3.
-2*k**3*(k + 4)/17
Let m be 5 - (-6)/(0 + -3). Suppose q**m + q**4 + 113*q - 2*q**2 - 113*q = 0. Calculate q.
-2, 0, 1
Let a be -1*(-1 + (1 - 0)). Suppose -2*c + 6 = -w, a = 4*w + 6*c - 2*c - 12. What is m in w*m + 0 - 2/9*m**3 + 0*m**2 = 0?
0
Suppose 5*u - 3*n = 21, -9 + 1 = -2*u + n. Factor 88*y**2 + 4*y**4 + 59 - 271*y**u + 137 - 336*y + 319*y**3.
4*(y - 1)**2*(y + 7)**2
Let g be -21*((-10)/(-6) - 2). Suppose -x = -g + 3. Let x - 2*d**2 + 4*d**2 - 6*d + 0*d**2 + 0*d = 0. What is d?
1, 2
Let z(d) be the first derivative of 3*d**5/40 - d**4/2 + d**3 + 7*d**2/2 + 4. Let t(h) be the second derivative of z(h). Suppose t(i) = 0. What is i?
2/3, 2
Factor 39*a**2 - 105*a**2 + 27*a**2 + 36*a**2 - 24 - 30*a + 3*a**3.
3*(a - 4)*(a + 1)*(a + 2)
Let d(r) be the second derivative of r**4/30 + 7*r**3/15 - 8*r**2/5 - 2*r - 5. Determine m, given that d(m) = 0.
-8, 1
Let p(k) be the first derivative of -1/5*k**2 + 4/5*k + 1/10*k**4 - 4/15*k**3 + 13. Let p(d) = 0. What is d?
-1, 1, 2
Let q(t) = 139*t**3 + 797*t**2 - 3475*t - 611. Let k(s) = -28*s**3 - 159*s**2 + 695*s + 122. Let c(y) = -11*k(y) - 2*q(y). Determine a, given that c(a) = 0.
-8, -1/6, 3
Suppose 0 + 4/5*b**2 + 0*b - 2/5*b**3 = 0. Calculate b.
0, 2
Let p(u) = -3*u**3 + u**2 - 4*u - 5. Let i be (-4)/(-2)*5/(-10). Let b be p(i). Factor 1/2*c + b*c**2 + 0.
c*(6*c + 1)/2
Let a(k) = k**2 - 4*k + 3. Let j(y) = y - 1. Let i(z) = -5*a(z) + 15*j(z). Suppose i(w) = 0. What is w?
1, 6
Let l(t) = -t**3 + 15*t**2 - 48*t + 61. Let p(q) = -q**2 + 1. Let h(k) = -4*l(k) - 12*p(k). Factor h(z).
4*(z - 4)**3
Let d(f) be the first derivative of 4*f**3/3 + 70*f**2 + 136*f - 235. Factor d(q).
4*(q + 1)*(q + 34)
Suppose -85 = -24*z - 24 + 11. Factor -6/13 + 2/13*t**z + 6/13*t**2 - 2/13*t.
2*(t - 1)*(t + 1)*(t + 3)/13
Let j be (-1 + 24/40)/(2/(-20)). Let y(m) be the first derivative of 0*m + 2*m**2 + 8/3*m**3 - 8 + m**j. Find g such that y(g) = 0.
-1, 0
Factor 2/7 + 2/7*y**2 - 4/7*y.
2*(y - 1)**2/7
Let t(z) be the second derivative of -z**7/168 - 17*z**6/480 - z**5/15 - z**4/24 - 8*z**2 + 14*z. Let h(j) be the first derivative of t(j). Factor h(n).
-n*(n + 1)*(n + 2)*(5*n + 2)/4
Determine a so that 2/3*a**4 + 0 + 4/3*a**3 - 14/3*a**2 + 8/3*a = 0.
-4, 0, 1
Suppose 0 = -2*y + 36. Let o be 24/(-16) + y/4. Factor -3*z**2 - 8*z + 3*z**4 - z**o + z**5 + 9*z - z.
z**2*(z - 1)*(z + 1)*(z + 3)
Let c(t) be the first derivative of 2/9*t**3 - 39 + 1/3*t**2 + 0*t. Find z, given that c(z) = 0.
-1, 0
Let t = -8317 - -8317. What is k in 1/10*k**3 + 8/5*k**2 + t + 32/5*k = 0?
-8, 0
Let c be -6*(-60)/(-9)*-1. Suppose -5 = x, 0 = -3*k + 4*x + 46 + c. Factor 2*o**3 - 35*o**3 - 6*o**2 + o**5 - k*o**5 - 48*o**4.
-3*o**2*(o + 1)**2*(7*o + 2)
Let h(m) = -m**3. Let u be ((-6)/(-9))/((-10)/15). Let b(j) = 5*j**4 + 53*j**3 + 180*j**2 + 80*j - 320. Let y(c) = u*b(c) + 2*h(c). Factor y(l).
-5*(l - 1)*(l + 4)**3
Let z(n) = -n**2 - 10*n - 11. Let q be z(-8). Find w such that -6*w + 0*w + 18*w**3 + 27*w**2 - 63*w**3 + 33*w**4 - 9*w**q = 0.
0, 2/3, 1
Let w = -8073 + 72659/9. Determine h so that 0*h + w*h**3 + 0 - 2/9*h**2 = 0.
0, 1
Let h(q) be the second derivative of -q**7/126 + q**6/45 + 3*q**5/5 + 43*q**4/18 + 77*q**3/18 + 4*q**2 + 12*q. Determine g so that h(g) = 0.
-3, -1, 8
Solve 6*d**5 + 0*d + 0*d**2 - 9/2*d**4 + 0 - 3/2*d**3 = 0 for d.
-1/4, 0, 1
Suppose 4*x = -n + 6, n + 3*x - 6 = -2*x. Suppose -6*d + 5*s = -2*d - 13, -n = -4*d - 2*s. Factor -2/11*f**3 + 2/11*f - 2/11 + 2/11*f**d.
-2*(f - 1)**2*(f + 1)/11
Let r(o) = -o**3 + 2*o**2 + 1. Let w(u) = -u**4 + 3*u**3 - u**2 + 13*u + 2. Let c(b) = -12*r(b) - 3*w(b). Find g, given that c(g) = 0.
-2, -1
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the tens digit of j(7)?
0
Let s = -439 - -441. Suppose -s*b = 2*o - 648, 0 = -8*o + 3*o + b + 1650. What is the units digit of o?
9
Let j(s) = 14*s**3 + 32*s**2 + 3*s - 105. Let b(y) = 3*y**3 + 8*y**2 + y - 26. Let o(d) = 9*b(d) - 2*j(d). What is the tens digit of o(6)?
6
Let j(o) = 8*o - 8 - 4*o - o + 0*o. Let n(v) = -3*v + 7. Let g(q) = -6*j(q) - 4*n(q). What is the tens digit of g(-8)?
6
Let o(g) = -53*g**3 - 2*g**2 + 37*g + 212. What is the tens digit of o(-8)?
2
Suppose 1499625 = -163*d + 256*d. What is the thousands digit of d?
6
What is the tens digit of (402/268)/(2 + (-11485)/5744)?
7
Let z be 4 - 421*(-4 + 3 + -3). Suppose 5*b - z - 1662 = 0. What is the tens digit of b?
7
Let m = 448 - 457. What is the units digit of ((-3)/m)/(8 - 53180/6648)?
4
Let f be (-138)/3*(2 - 1). Let q be 8/56 - 26562/(-266). Let g = q - f. What is the hundreds digit of g?
1
What is the tens digit of (-377)/58*(-11896 + -14)?
1
What is the units digit of -1 + 0 + 3140 - (-28 - (-20 - 10))?
7
Let z(r) be the third derivative of -r**5/60 - 17*r**4/8 + 59*r**3/6 + 10*r**2 - 2*r. What is the hundreds digit of z(-43)?
4
Let p = 38 - 33. Suppose -4*q + 2365 = 2*k + 825, -p*k + q = -3883. What is the hundreds digit of k?
7
Suppose 4*l - 2*f = 20686, -l + 5*f - 717 = -5902. What is the thousands digit of l?
5
Let f(i) = -i**2 + 40*i + 89. Let s be f(30). Let b = s - -453. What is the units digit of b?
2
Let w(c) = -c**3 - 16*c**2 + 17*c + 6. Let j be w(-17). Suppose 5 = j*p - p. What is the units digit of (p - 10/15)*93?
1
Let t = -34 + 38. Suppose 60 = 5*p - t*b - 16, -p = b - 17. What is the tens digit of (1 + p/(-20))*4*60?
4
Let s be ((-28)/8)/(4/8). Let z(x) = -3*x**2 - 9 + 2*x**2 - 10*x + 0*x. What is the units digit of z(s)?
2
Suppose 657 = 4*t - 13*t. Let l = -13 - t. Suppose h - l = 4*v - 361, 0 = 2*h - 6. What is the tens digit of v?
7
Let f(s) = s**3 - 20*s**2 + 29*s - 23. Let j be f(24). Suppose -2234 = -9*n + j. What is the tens digit of n?
7
Let p = -3094 - -12960. What is the tens digit of p?
6
Suppose -13 = 3*i + 4*q, i + 2*i + 4 = 5*q. Let v be (-6)/i - -2*1. Suppose 290 = v*k + 6. What is the units digit of k?
1
What is the hundreds digit of (-41)/((-656)/(-56))*1164/(-7)?
5
Let a(d) = d**3 + 9*d**2 + 15*d + 9. Let f be a(-7). Suppose r + 94 = -h, 5*h + 92 = -r + f*h. Let p = r + 217. What is the tens digit of p?
2
Let u(b) = 18*b**3 - b**2 + b. Let f be u(1). Suppose 4 = -r + 5*i + 1, -4*i + 8 = 2*r. Let q = f - r. What is the tens digit of q?
1
Suppose -3*w = 5*l - 13704, 5*w - 5*l - 7125 = 15755. What is the hundreds digit of w?
5
Let k = 19244 - 12997. What is the thousands digit of k?
6
Suppose -105 = 2*v - 491. Let t = v - -269. What is the tens digit of t?
6
Let d be -4 + (0 - -7) - (2 + -1). What is the hundreds digit of 1027 - (d/8)/((-36)/(-720))?
0
What is the tens digit of 10*74/30*3684/8?
5
What is the hundreds digit of -4 + (-72693)/(-15) + 2 - (-10)/(-50)?
8
What is the thousands digit of 18 - 91/((-91)/70884)?
0
Let q be ((-15)/10)/((-2 + -1)/(-12)). What is the units digit of 1269/3 - 3/9*q?
5
Suppose -17934 = -35*d + 29876. Suppose -g + 2*g - 4*f = d, -4*g = -3*f - 5529. What is the tens digit of g?
8
Let l = 28169 - 6196. What is the ten thousands digit of l?
2
Suppose 18*k = 63131 - 36446 + 43173. What is the units digit of k?
1
Let w = 13115 - 608. What is the thousands digit of w?
2
Let k be 11 - (0 + 2 + -1). Let y(c) = 2*c**3 + 11*c**2 - 6*c + 148. Let f be y(-7). Suppose 0 = 3*q - f + k. What is the tens digit of q?
1
Let z(q) = 14*q**2 + 111*q + 4253. What is the hundreds digit of z(-61)?
5
Let v = 66232 + -42448. What is the tens digit of v?
8
Suppose -77*r - 5772 = -83*r. Let j = -471 + r. What is the units digit of j?
1
Suppose -74*p + 484663 = -337033. What is the hundreds digit of p?
1
Suppose -71*y + 3582734 + 798392 = 0. What is the thousands digit of y?
1
Suppose 4*g = 12, -5*g = s - 4 - 22. Suppose 6*c - s*c - 5 = 0. What is the tens digit of ((-2)/(-16)*-82)/(c/4)?
4
Let c(i) = 14*i**2 - 10*i + 90. Let t be c(6). Suppose l = 320 + t. What is the tens digit of l?
5
Let p(z) = -83*z - 392. Let x(g) = 124*g + 589. Let l(b) = 8*p(b) + 5*x(b). What is the hundreds digit of l(-23)?
8
Let v be (2 + 7)/(-1)*(15 - 0). What is the units digit of (-6064)/(-9) - 30/v?
4
Suppose 0 = 2*f + g - 22, -2*f + 38 = 4*g + g. Let m = f - -215. What is the hundreds digit of m?
2
Let x = -326 - -320. What is the tens digit of 1*3/(-1) + x + 435?
2
Let k(p) = p**2 + 12*p + 24. Let x be k(-13). Let u = 219 - x. What is the hundreds digit of u?
1
Suppose -24740 = -12*p + 35548. Suppose -5*j + 7*j = 3*v - p, -4*j + 8344 = 5*v. Suppose v = 22*l - 14*l. What is the tens digit of l?
0
What is the hundreds digit of (98/28 + -5)*(-27682)/3?
8
Let d = 176322 + -123019. What is the thousands digit of d?
3
Suppose -4*j = -g - 128, -g - 3*j - 112 = j. Let q(l) = l**2 + 15*l - 23. Let f be q(-13). Let s = f - g. What is the tens digit of s?
7
Let r(h) = -4*h**3 - 12*h**2 - 15*h + 25. Let i be r(-9). Let k = i - 1351. What is the hundreds digit of k?
7
Suppose -a + 17 = 4*z, 8*z - 12*z + 3*a - 3 = 0. Suppose 569 = z*d - 439. What is the hundreds digit of d?
3
Let m be 2439/4 + 8/32. Suppose 2*r = 34 + m. What is the tens digit of r?
2
Let c(o) = 2880*o**2 - 32*o + 57. What is the hundreds digit of c(2)?
5
Suppose -j - 5*x + 8 = -5, 2*j + 4*x - 20 = 0. Suppose -j = 10*n - 3898. What is the tens digit of n?
8
Suppose 0 = 4*q + 4*o - 36, -5*q + 4*q + 13 = 2*o. Let p = 6 - q. What is the units digit of (420/(-5))/(-2) - p?
1
Suppose 5*x = 3*z - 5*z + 51, 3*z - 49 = -5*x. Suppose -x*o = -14*o. Suppose -3*l + 8*l - 215 = o. What is the tens digit of l?
4
What is the units digit of (-604)/(-3) - (-460)/(-345)?
0
Let s(m) = 43*m**2 - 32*m + 189. What is the tens digit of s(6)?
4
Let s(q) = 2*q**2 + 29*q - 26. Suppose 55 = -3*t - 4*u, 4*t + 39 = -5*u - 34. What is the units digit of s(t)?
9
Let f(n) = 370*n**2 + 93*n - 309. What is the units digit of f(5)?
6
Suppose k + 0*k = -3*o - 31, -k + 24 = -2*o. Let p be (-2 - -1)*(o + 1). Let i(q) = q**3 - 9*q**2 + q - 15. What is the tens digit of i(p)?
9
Let s = 51070 - 28821. What is the thousands digit of s?
2
Suppose 0 = 4*v + 3242*o - 3239*o - 178376, 3*o - 89182 = -2*v. What is the thousands digit of v?
4
Suppose -446 = -j - r + 120, -5*j + 2850 = -5*r. Let x(v) = 3 + j*v**2 - 550*v**2 + 8*v - 3*v + 5*v. What is the units digit of x(-3)?
5
What is the tens digit of (42634/22)/(191/2101)?
1
Suppose -876 + 348 = -4*b. Suppose -b - 692 = -8*y. Suppose -3*k + y = 4*n - 2*n, 4*n - 136 = -4*k. What is the units digit of k?
5
Let t be -1 - ((124 - 2) + -3). Let l be (-2 - 10/(-4))/(2/t). Let u = 83 + l. What is the units digit of u?
3
Let i(d) be the first derivative of 37*d**3 - 3*d**2 + 8*d + 102. What is the units digit of i(2)?
0
Let c be (28/16)/(2/(-24)). Let s be (-6)/c - 719/7*-1. Suppose 10*h - 9*h = s. What is the tens digit of h?
0
Suppose 4*l + 3*a = 17, 2*a = -4*l + 27 - 9. Suppose -2*i + 10 = -4*o, -5*o + 55 = l*i - 3*i. Suppose -i*u = -10*u - 895. What is the hundreds digit of u?
1
What is the units digit of (75230 - -173) + -1*5 + 0?
8
Let v = 11218 + -3420. What is the hundreds digit of v?
7
Suppose l - 98 = -52. Let z be (-74)/(-8) - (5 - l/8). Suppose 2*a + z*a - 1080 = 0. What is the tens digit of a?
9
Suppose 4*c = -4, -3*j + 1562 + 2574 = c. Suppose -f - 29 = -s - 4*f, -12 = 3*f. Suppose s*x - j = 34*x. What is the hundreds digit of x?
1
Let m = 1485 - 2304. Let s = m - -1235. Suppose 508 + 526 = 5*c - 4*h, 0 = 2*c - h - s. What is the units digit of c?
0
Suppose -43*x - 6*g + 2061 = -40*x, -2*x + 5*g + 1374 = 0. What is the units digit of x?
7
Suppose -3*r + 7*r - 19250 = 5*q, -r = 2*q - 4806. What is the tens digit of r?
1
Let b = 4269 - -5352. What is the tens digit of b?
2
Suppose -5*b = 4*w - 30456, -2*b - 3*w = -5*b + 18252. What is the thousands digit of b?
6
Suppose -2375*s = -2379*s + 77580. What is the thousands digit of s?
9
Suppose 25 = 3*h - 8*h. Let w(u) = u**3 + 6*u**2 - 13*u + 3. Let m be w(h). What is the units digit of m/33 + -3 + (-123)/(-11)?
1
Let n(f) = f**3 - 11*f**2 + 30*f - 54. What is the units digit of n(14)?
4
Let p(m) = 13*m**2 + 7 - 7*m - 20*m**2 + 11*m*
|
{
"pile_set_name": "DM Mathematics"
}
|
to base 11
242
Convert 2210021000 (base 3) to base 7.
315645
What is -1116 (base 7) in base 13?
-252
What is a6 (base 11) in base 14?
84
Convert -3010322 (base 4) to base 16.
-313a
What is -139a6 (base 11) in base 9?
-30183
Convert -17 (base 15) to base 14.
-18
Convert -31333 (base 4) to base 15.
-3ea
Convert -23575 (base 9) to base 10.
-15782
What is -5248 (base 10) in base 12?
-3054
Convert -12201112 (base 3) to base 15.
-1382
-32140 (base 5) to base 6
-14014
Convert -245a8 (base 11) to base 5.
-2112304
What is e25 (base 15) in base 3?
11100222
What is -1011013 (base 5) in base 6?
-203503
-2582 (base 9) to base 14
-9c5
Convert 1012020 (base 4) to base 7.
16041
-10010111101 (base 2) to base 16
-4bd
Convert 76b7 (base 12) to base 11.
9929
3003 (base 12) to base 7
21060
177 (base 9) to base 15
a1
-1006 (base 8) to base 11
-431
1243 (base 6) to base 9
380
What is 10110011111 (base 2) in base 16?
59f
Convert 20300131 (base 4) to base 6.
434021
Convert 1200211111 (base 3) to base 7.
166261
299 (base 11) to base 7
1010
Convert 1560 (base 13) to base 9.
4246
Convert 23e (base 16) to base 4.
20332
Convert -3121 (base 6) to base 16.
-2b9
Convert -113 (base 15) to base 7.
-465
What is 443a (base 12) in base 14?
2a62
What is -11223 (base 7) in base 8?
-5453
Convert 357 (base 11) to base 16.
1a9
414 (base 9) to base 13
1cc
-6233 (base 7) to base 10
-2180
What is 67413 (base 8) in base 4?
12330023
Convert -111201 (base 4) to base 16.
-561
What is -65341 (base 7) in base 4?
-3332221
What is -5002 (base 12) in base 4?
-2013002
What is 84375 (base 9) in base 15?
11795
What is -1692 (base 11) in base 9?
-2857
What is 3523 (base 8) in base 10?
1875
What is -3642 (base 8) in base 7?
-5461
Convert -6137 (base 12) to base 4.
-2210323
Convert -526 (base 11) to base 10.
-633
211244 (base 7) to base 14
d424
352a (base 11) to base 15
158a
What is -14313 (base 5) in base 6?
-5332
What is 220120 (base 3) in base 7?
1635
What is 1111001 (base 4) in base 15?
192b
-5104 (base 7) to base 5
-24033
Convert -92 (base 10) to base 11.
-84
What is -21a1 (base 12) in base 9?
-5084
What is 10212 (base 5) in base 16?
2aa
Convert 100144 (base 6) to base 9.
11671
2bbb (base 14) to base 13
3729
What is -84 (base 14) in base 16?
-74
What is -321 (base 5) in base 6?
-222
What is -702 (base 11) in base 2?
-1101010001
Convert -12734 (base 8) to base 5.
-134341
Convert 222111100 (base 3) to base 14.
7078
1000000110000011 (base 2) to base 9
50428
Convert 19baa (base 12) to base 9.
57114
-86c (base 13) to base 3
-1222102
31000 (base 4) to base 16
340
-191 (base 14) to base 7
-641
Convert 24a (base 13) to base 8.
620
Convert 22035 (base 7) to base 11.
4163
What is 30110 (base 5) in base 12?
1129
Convert 1457 (base 11) to base 12.
1105
Convert -1067 (base 11) to base 13.
-840
What is c55c (base 13) in base 3?
1101102121
-2301 (base 8) to base 11
-a07
What is 2b6c (base 13) in base 3?
22200221
4130310 (base 5) to base 14
1a8b2
Convert -1399 (base 11) to base 5.
-24202
Convert 141402 (base 5) to base 14.
21c0
Convert -11100111011010 (base 2) to base 14.
-557c
Convert 100221100 (base 3) to base 14.
28d7
What is -779a (base 11) in base 15?
-309d
2201202221 (base 3) to base 2
1101001000010110
Convert 8033 (base 12) to base 5.
420423
4c9 (base 16) to base 2
10011001001
What is 3020 (base 5) in base 8?
601
-23a (base 11) to base 12
-1b9
What is 310000 (base 4) in base 10?
3328
Convert 51054 (base 6) to base 2.
1101001001010
12b5 (base 12) to base 6
13545
320421 (base 5) to base 13
4b6b
What is 29303 (base 11) in base 7?
232235
What is 1120 (base 14) in base 9?
4057
Convert -3973 (base 11) to base 8.
-12052
What is 32310 (base 4) in base 2?
1110110100
Convert -10030130 (base 4) to base 9.
-25508
What is 192 (base 11) in base 12?
166
Convert -220 (base 6) to base 5.
-314
What is 114131 (base 7) in base 10?
20651
-1440 (base 7) to base 13
-348
What is -132455 (base 6) in base 4?
-2333303
What is -132224 (base 5) in base 8?
-12302
What is 736 (base 8) in base 12?
33a
Convert -3233 (base 9) to base 10.
-2379
What is -36106 (base 11) in base 14?
-14d6c
Convert 19396 (base 12) to base 8.
107742
Convert -31340 (base 5) to base 15.
-94a
Convert 1479 (base 13) to base 14.
1125
Convert 24302 (base 6) to base 3.
11220002
-95b8 (base 12) to base 13
-7616
What is -103211 (base 6) in base 11?
-6430
Convert -135641 (base 7) to base 10.
-26048
222231 (base 4) to base 7
10653
What is 890 (base 10) in base 7?
2411
1db (base 14) to base 4
12011
54b (base 14) to base 8
2027
What is 1100100100 (base 2) in base 12?
570
Convert -3433 (base 8) to base 15.
-814
1445 (base 6) to base 11
324
Convert -20112 (base 3) to base 4.
-2300
-e18 (base 15) to base 16
-c65
Convert -1010001100 (base 2) to base 15.
-2d7
949 (base 10) to base 5
12244
What is -ed (base 16) in base 15?
-10c
12001030 (base 4) to base 3
1020211001
What is 1036 (base 7) in base 9?
451
What is -250 (base 15) in base 7?
-1350
What is -28e9 (base 16) in base 5?
-313343
Convert 1092 (base 11) to base 13.
862
Convert -35a6 (base 13) to base 14.
-2a8c
-225 (base 16) to base 13
-333
Convert 5378 (base 9) to base 3.
12102122
Convert 53a (base 14) to base 9.
1366
What is -c50 (base 13) in base 5?
-31333
What is 111001100 (base 2) in base 3?
122001
What is -6283 (base 9) in base 8?
-11003
Convert 512 (base 7) to base 14.
142
756 (base 13) to base 7
3441
What is 11000001101 (base 2) in base 16?
60d
What is 5614 (base 7) in base 5?
31040
76 (base 10) to base 9
84
9e8 (base 15) to base 13
1037
-12c (base 13) to base 7
-414
485 (base 9) to base 10
401
What is -27c (base 15) in base 12?
-3b3
2210012 (base 3) to base 5
31110
110111110000 (base 2) to base 4
313300
Convert 1124220 (base 5) to base 13.
9487
Convert 35b (base 16) to base 5.
11414
-1403001 (base 6) to base 11
-53a01
What is -1484 (base 11) in base 10?
-1907
-1011111011000 (base 2) to base 15
-1c1e
Convert -1081 (base 12) to base 7.
-5215
What is -1097 (base 10) in base 4?
-101021
What is -222211 (base 4) in base 2?
-101010100101
Convert -8010 (base 9) to base 8.
-13321
What is 638 (base 11) in base 8?
1377
21000122 (base 3) to base 15
17b5
Convert 720 (base 9) to base 13.
360
472 (base 13) to base 10
769
-14002 (base 6) to base 7
-6206
Convert 5456 (base 11) to base 16.
1c20
What is 60a5 (base 12) in base 2?
10100011111101
What is 973 (base 14) in base 12?
10b5
Convert 1545 (base 6) to base 7.
1145
Convert b749 (base 15) to base 8.
113561
422414 (base 5) to base 9
21316
What is -b6c (base 15) in base 7?
-10341
-204 (base 14) to base 6
-1500
36a (base 12) to base 10
514
149a (base 13) to base 4
232320
100000101 (base 2) to base 16
105
-140f (base 16) to base 4
-1100033
Convert -986 (base 14) to base 6.
-12414
Convert 5925 (base 10) to base 7.
23163
828 (base 13) to base 4
111222
-17489 (base 10) to base 14
-6533
-20211 (base 4) to base 9
-670
22444 (base 5) to base 10
1624
39ba (base 12) to base 7
25210
What is -3d0 (base 14) in base 13?
-473
What is -745 (base 11) in base 12?
-628
Convert 8714 (base 14) to base 13.
a817
What is -33044 (base 8) in base 11?
-a460
-24664 (base 9) to base 11
-11505
Convert 16d8 (base 16) to base 6.
43024
Convert 9c0 (base 15) to base 16.
89d
14b5 (base 16) to base 2
1010010110101
Convert 33100 (base 9) to base 7.
120666
Convert 1225 (base 13) to base 11.
1a23
Convert -485 (base 9) to base 4.
-12101
What is -13300233 (base 4) in base 12?
-16493
Convert 42301 (base 6) to base 9.
7761
Convert 9851 (base 10) to base 8.
23173
Convert 84 (base 14) to base 6.
312
5b93 (base 15) to base 16
4c20
-1000001110000 (base 2) to base 7
-15161
Convert -408 (base 10) to base 9.
-503
-125 (base 11) to base 14
-a8
855a (base 11) to base 16
2c36
-2022332 (base 4) to base 16
-22be
110011101 (base 2) to base 5
3123
What is -c76 (base 16) in base 12?
-1a1a
What is b65 (base 15) in base 6?
15522
What is 3500 (base 6) in base 10?
828
Convert -103133 (base 4) to base 11.
-a34
-5577 (base 9) to base 3
-12122121
2054 (base 12) to base 16
dc0
What is 11000001 (base 3) in base 12?
1831
Convert -21203 (base 5) to base 4.
-112110
What is 312103 (base 4) in base 8?
6623
6888 (base 10) to base 9
10403
32064 (base 10) to base 6
404240
-103b (base 15) to base 13
-173c
Convert 56011 (base 9) to base 4.
21011011
255c (b
|
{
"pile_set_name": "DM Mathematics"
}
|
alse
Let v = -120 - -38. Let n be (v/16 - -5)/((-3)/4). Suppose c = -3*f - 11, -3*c = f - 4*f - 15. Is c != n?
True
Suppose 9 - 26 = w. Let l be 0 + (w/11 - -1). Let d(s) = s**3 - 13*s**2 - 10*s - 56. Let m be d(14). Which is smaller: m or l?
l
Suppose 25 - 5 = -4*t. Let v be t/(-15) - (-41)/3. Suppose -2*r = f - 6, -4*f - 3*r = -5*f - v. Is -7/5 >= f?
True
Let q = 3 - 2. Let t be (4 + -7)*2*q/4. Let w = 3 - 2. Which is greater: t or w?
w
Suppose 0 = -12*j + 9*j. Let s be (-12)/((-4)/(j + -4)). Is -12 greater than s?
False
Let q = 2075.1 + -2075. Is -733 <= q?
True
Let u = -373 - -348. Which is greater: -33 or u?
u
Let x = -0.96 - -1. Let m = x + -12.04. Let q = 28740 - 28742. Which is smaller: q or m?
m
Let l = 876 + -907. Does 1.2 = l?
False
Suppose -5*z + 145 = -5*t, 4*t + 4*z - 93 = -249. Let s be t/(-40) - 2/8. Which is smaller: s or -0.2?
-0.2
Suppose 24*y - 5 = -101. Is y <= -80/21?
True
Let g be (-1458)/45*(-5)/2. Let m be g/273 + (2 - (-28)/(-13)). Which is smaller: m or 1/5?
m
Let n = 1346 - 1344. Let z = 8 + -6. Let f = 2 + z. Is f > n?
True
Let r be (-112)/120 + (-4)/(-10). Let v = -107/60 - r. Which is bigger: v or 0?
0
Let j = -2.07 - -0.07. Let h be (-36)/96 + 6/16 + -5. Which is smaller: h or j?
h
Let t = 2387 - 2838. Which is smaller: -453 or t?
-453
Let p(b) = b**3 + 3*b**2 - 4*b - 4. Let u be p(-3). Suppose 0 = -6*m + 3*x + 33, 2*x + 25 = -5*m + 66. Are u and m non-equal?
True
Suppose 7*b + 8 - 1 = 0. Suppose h - 9 = 4*y + 5, -5*h + 22 = 4*y. Let s be (2*1)/(b - h). Which is bigger: s or -0.3?
s
Let j = -2016 - -1775. Is 1 smaller than j?
False
Let q(m) = m**2 - 12*m - 18. Let t be q(14). Suppose 4*i - t = -5*v - i, -2*v - i = 0. Let x = 0.9 - -0.1. Which is smaller: x or v?
v
Let h be -9*2*(-2)/(-12). Let m = 4 + h. Which is smaller: m or 3/35?
3/35
Suppose 0*h - 2*h + 2 = 0. Let u be 20 + -18 + 1*h/(-2). Suppose 5 = -q + 4, 0 = -3*l - q + 5. Are l and u non-equal?
True
Let p be 4/18 + -7*(-9185)/693. Which is smaller: p or 466/5?
p
Let o(f) = -4*f**2 + 41*f + 14. Let b be o(8). Is b > 86?
False
Suppose -14*j = 149 - 135. Do -5/99 and j have different values?
True
Let f be 145*(8/(-30) + (-31)/93). Which is greater: -82 or f?
-82
Let t = -0.48 - -0.28. Is t not equal to -72?
True
Let t = 0.2 - 0.1. Suppose -428*m + 88 = -436*m. Which is greater: m or t?
t
Let p(h) be the first derivative of -h**3/3 - 7*h**2/2 + h - 13. Let v = 2 + -9. Let z be p(v). Are 1 and z non-equal?
False
Suppose -k + 2*o = -2*o + 14, 0 = -2*k + o + 7. Which is greater: 100/21 or k?
k
Suppose 3*d - 25 = -16. Suppose 0*k = -t + 5*k + 4, t + 2*k = -10. Let f = t - -10. Which is smaller: f or d?
d
Suppose -22 = -3*h + 5*q, h - 6*h - q + 46 = 0. Let n = h + -7. Suppose -v = -3*f + n*v + 21, -2*f = -4*v - 16. Is 4 bigger than f?
False
Suppose -3*n = 5*c - 28, n + n + 4*c = 22. Let u be -5 - (-1 + -1 + -3). Is u smaller than n?
True
Let d = -104 + 105. Which is smaller: 1/10 or d?
1/10
Let l be 713/20 + 2/(-5). Let o(q) = -q**2 - q + 35. Let x be o(0). Is x at least l?
False
Let a = -588 + 575. Is -19 greater than a?
False
Let q = -69 + 32. Let t be 72/21*21/(-2). Which is greater: q or t?
t
Let t be (5/40)/((-4)/10). Let u be 26/22 - (-18)/(-99). Is u greater than t?
True
Let v(d) = 26*d + 117. Let s be v(-5). Which is greater: s or 17?
17
Suppose 0 = 2*z - 3*z + 13. Suppose 5*q - 2 - z = 0. Suppose -4*t - 1 = 3*g, -10 = 4*t + 5*g - 3. Which is smaller: t or q?
t
Let f(n) = -5*n + 4. Let t be f(7). Let a = 127/4 + t. Is a at most 0?
False
Suppose -2*h = 2*c + 10, 0 = -c + 4*h - 0*h + 20. Let d = c - 4. Let w be (-3)/135 - d/18. Is w not equal to -2/7?
True
Suppose 0*z = -4*p - 4*z + 12, 5*p - 27 = -2*z. Is 21 smaller than p?
False
Let q = -13.39 - -13.4433. Which is smaller: q or 0?
0
Suppose -o + 4*o = 15. Suppose 5*w - 5 = 0, -o*h - 13 - 6 = -4*w. Is h bigger than -3?
False
Suppose 0 = 5*v - 9*v. Suppose v*h = -5*h. Is 1/23 equal to h?
False
Suppose -4*r = y + 33, -2*r - y = -r + 9. Suppose -3*p - 8 = 4. Let x = r - p. Which is smaller: -3 or x?
x
Suppose 0 = -4*d - 4, -5*i + 27*d + 4 = 23*d. Suppose 0 = -u + 4*t - 3*t + 1, -4*t - 8 = 0. Let a = 2 + u. Which is smaller: a or i?
i
Let h = -3 - 0. Suppose 3 + 3 = 3*a. Suppose a*t + 0*t = -2. Which is greater: t or h?
t
Let j = 2.2 - 2. Let x(l) = 29*l + 117. Let s be x(-4). Is j greater than or equal to s?
False
Let o be 4 + (-102)/39 - (6 + -3). Which is greater: o or -1?
-1
Suppose 11*w = 786 + 1128. Are -0.1 and w nonequal?
True
Let u = 38 - 2. Let f be (304/u)/(-2) - -4. Which is bigger: f or -5?
f
Let v = 0 + 5. Let n = -926 - -931. Is n greater than v?
False
Suppose 3*m = 3*o - 8*o - 82, 5*m = 4*o + 36. Let w be (o/63)/(8/44). Which is bigger: w or 0?
0
Let w be (((-2340)/27)/10)/((-2)/108). Is 466 at most as big as w?
True
Let x = 0.22 + -133.22. Let r = x - -152.2. Let d = -19 + r. Which is greater: d or 4?
4
Let t be (0/(-2))/(-1 + 3). Let m be (-3)/8*(-6940)/150. Let l = m + -67/4. Which is bigger: t or l?
l
Suppose -6*h + 360 = -2*h. Let r be (-4)/(-190)*-5 - (-34)/(-38). Let k be (65/h + r)*-3. Is 0 bigger than k?
False
Let g = 0.1831 - 0.3531. Do g and -5/9 have different values?
True
Suppose 4*m = -4*t - 28, -t + 16*m - 15*m = 1. Is t greater than -13/5?
False
Suppose 3*a - 3 - 9 = 0. Let j(q) = q**3 - 3*q**2 - 2*q - 3. Let w = 1 - -3. Let b be j(w). Is b less than a?
False
Let d = -8896/13 - -684. Suppose -4*w + 18 = 2, 0 = -o - 4*w + 17. Let i be (-1 - -2)/(o - 0). Which is smaller: d or i?
d
Let u(z) = -9*z - 14. Let g be u(-7). Suppose 5*w - 59 + g = 0. Is 11/4 at most as big as w?
False
Suppose -6*z + z = 3*j, 5*j = z. Which is greater: 3/38 or z?
3/38
Let q(y) = y**3 + 14*y**2 - 14*y - 2. Let p be q(-15). Let h = 13 + p. Let u = -5.6 + 6. Which is smaller: u or h?
h
Let t be (-615)/(-18)*((-8)/(-24) - 1). Is -24 at most t?
True
Let n be (-2 - 5/(-3))*-6. Suppose -4*u + n*u + 6 = 0. Are 1 and u unequal?
True
Let c be 6/(-555)*11/(-22). Is 1 != c?
True
Let o = -2588 - -2587.2. Is 62/5 > o?
True
Let j be (-1)/(0 - 0 - -19). Let b = -107 + 45. Let z = b - -60. Which is smaller: j or z?
z
Let w = 36 - 46. Let r be w/(-75) + 3/15. Let j = 1 - 1.04. Which is smaller: r or j?
j
Let f = 39 + -35. Let r be 10*(f/(-4) + 0). Which is smaller: -3 or r?
r
Suppose 0*d = 3*d - 102. Let w = d + -34. Is w < 1/73?
True
Let u = -82 - -77. Let g(a) = -3*a**2 - 1. Let s be ((-5)/(-15))/((-2)/(-6)). Let v be g(s). Is v smaller than u?
False
Suppose 5*b - q - 42 = -3*q, 4*q + 4 = b. Let w be (0 + 4)*-1*b. Let m be (-7)/84*w/(-6). Which is smaller: m or 1?
m
Let r = -2481/37 - -67. Let u be (0 + 0/(-4))/2. Is r <= u?
True
Suppose -10*u + 872 = 862. Let s = 1 - 2. Which is bigger: u or s?
u
Let r be 40/22 - (3 + -1). Let q = -28/117 + 1058/4095. Let j = -109/210 + q. Which is bigger: j or r?
r
Let t = 30166/29 - 1040. Let g be ((-2)/(-6))/((-464)/60). Let j = g - t. Is j bigger than 0?
False
Suppose 2*c + 22 = 5*i + 6*c, -4 = 2*c. Let u be (-5)/i + 5/(-30). Let a = 1 + u. Is a at least as big as -4/3?
True
Let z be 60/(-80) + 2714/(-168). Let u = -88/7 - z. Which is smaller: 1 or u?
1
Let x be 14/(-42) - 22/6. Let n be x/(-14) + (-253)/77. Which is bigger: 3/2 or n?
3/2
Let s = -130.1 + 140.7. Are s and -1/9 non-equal?
True
Let f = 12 + -25. Let g = f + 14. Let p = 12.7 - 18.7. Is p > g?
False
Let v(s) = 16*s - 445. Let y be v(28). Is 80/19 < y?
False
Let s(w) = w**2 - 8*w + 18. Let h be s(4). Let g be 3/((-21)/5)*h/10. Let o = 1 + -1. Which is greater: o or g?
o
Let g(l) = -2*l - 5. Let q be g(0). Let h be (-9)/((-90)/(-16))*q. Is h >= 7?
True
Let r(w) = -118*w**3 - w**2 - 2*w + 2. Let c be r(1). Which is bigger: c or -479/4?
c
Suppose -4*y - 968 = 2*c, 4*y + 548 = -5*c - 414. Are -243 and y non-equal?
False
Let h = -46/9 - -461/99. Which is smaller: h or 0?
h
Suppose -2*j - j = 39. Let s(q) = -q**3 - 6*q**2 + 2*q + 17. Let c be s(-5). Let z = c - j. Is z less than or equal to -6?
False
Let w be ((-1)/(-1)*-3)/10. Suppose f + n - 2 - 24 = 0, -n + 54 = 2*f. Let t be 7/f - (-5)/(-4). Is t >= w?
False
Let v = -2 - -14. Let d = 17 - v. Suppose 4*r - d*r = 5. Do r and -1 have the same value?
False
Let v = 766.04 - 766. Which is greater: v or 0.7?
0.7
Suppose -2*v = -6*v - 3*h - 11, -h = v + 3. Let i(n) = n - 2.
|
{
"pile_set_name": "DM Mathematics"
}
|
s = 5*c, -2*d + 2*c = -3*c - 9. Solve 2*x + d = -w for x.
-3
Suppose 5*a = -156 - 29. Let f = a + 49. Solve f = 2*x + 2 for x.
5
Let v(n) = -2*n - 7. Let x(r) = r**2 + 7*r - 2. Let l be x(-6). Let c be v(l). Let a = 7 + c. Solve -5*t - a = -t for t.
-4
Suppose 0 = 3*j - 13 + 1. Let u be ((-3)/(-2))/(-3)*0. Let c be 20/4 - (u - -1). Solve 16 + c = j*q for q.
5
Suppose 29 + 1 = 15*q. Solve -5*b = -q*b + 15 for b.
-5
Let u be (18/4)/((-1)/2). Let h(j) = -4*j**2 - 10*j - 7. Let v(w) = 7*w**2 + 20*w + 14. Let i(g) = -5*h(g) - 3*v(g). Let y be i(u). Solve 1 + y = -x for x.
-3
Suppose 103*f = 27*f. Suppose -100 = 2*j - 6*j. Suppose 11 - 1 = 2*p - v, -3*v - j = -5*p. Solve -h = -f*h + p for h.
-5
Let r(w) = -w**3 + 10*w**2 + 4. Let p be r(10). Solve -t + p = 1 for t.
3
Let w = -165 - -165. Suppose 5*l = -a - 4*a + 85, 2*a - 4*l - 22 = w. Solve -4*s - a = s for s.
-3
Let c(w) = w**3 - 8*w**2 - 10*w + 5. Let a be c(9). Let l be -4 + (a - -4) - -4. Let n be 1/(-3)*3*l. Solve -3*j + 4*j - 2 = n for j.
2
Let s be (-5 + 1 + 3)*-3. Let d = -15 - -25. Solve -s*u = 2*u - d for u.
2
Let l(c) = -2*c**2 + 2*c + 1. Let n be l(2). Let r = n + 6. Let p = 5 - r. Solve -6*s + 16 = -p*s for s.
4
Suppose 15 = j - 47. Let b = j - 57. Solve 20 = -0*h + b*h for h.
4
Suppose -g = -0 - 6. Let f be (g/(-10))/((-17)/425). Solve 0 = 3*z - f + 3 for z.
4
Let o = 35 + -34. Let v be (o - -3 - 3) + 53. Let r be 60/(-45)*v/(-4). Solve r = -3*j + 6 for j.
-4
Suppose 9 - 27 = -5*i - n, -18 = -10*i + 4*n. Let b(h) = h**2 - 6*h + 6. Let d be b(6). Solve -i*u + d*u = -9 for u.
-3
Suppose -k + 5 = -4*v, -12*k - 20 = -16*k + 4*v. Solve 5*b = -0*b - k for b.
-1
Suppose 3*x - 13*x = -90. Solve -x*l + 50 = l for l.
5
Let z = 1 - 1. Let t(o) = -4*o - 37. Suppose v - 1 = -11. Let h be t(v). Solve -g + z*g = -h for g.
3
Suppose 100*o - 270 = 46*o. Solve o*c = -7*c for c.
0
Let n(o) = o**2 + o - 10. Let v be n(0). Let w = 15 - v. Suppose 0 = -0*z + 5*z - w. Solve z*s = s for s.
0
Suppose 1877 = 25*a + 152. Solve 73*c + 12 = a*c for c.
-3
Let k = -2 - 2. Let m be -8 + 5 + 10 + k. Solve -m*g = -g - 2 for g.
1
Let y = 53 + -52. Let n(b) = 9*b + 1. Let a be n(y). Solve 5*k + a = 7*k for k.
5
Suppose 3*z + 0*z = -2*w + 6, -4*z = 0. Let o be (-1 + 7)/(1 + 0). Let y be o - (-7)/((-21)/6). Solve -1 = y*k - w*k for k.
-1
Suppose 17*l = 18*l - 3. Solve 0 = -l*j + 5 + 4 for j.
3
Suppose 5*p - z - 52 = 0, 4*p + 28*z - 29 = 33*z. Solve 0 = 12*y + 47 - p for y.
-3
Let v(d) = -d**2 + 9*d - 2. Let w be v(8). Suppose -7*u + 8 = -w. Solve -3*b = -b + u for b.
-1
Suppose 32*b - 24 = 28*b. Solve b*o = -27 + 3 for o.
-4
Suppose 5 - 9 = 4*c. Let k be 1*(-90)/(-5)*c/(-3). Solve -k*v + 20 = -v for v.
4
Let h(n) = n**3 - 5*n**2 - 5*n - 2. Let y be h(6). Suppose y*w = 21 - 5. Let d be (2/1)/w*4. Solve -17 = 3*r - d for r.
-5
Suppose 3*f + 7 = 49. Let a be f/6 + 2/(-6). Let z be -7*((-24)/21)/a. Solve o + o = z for o.
2
Suppose 2*d + 5*c = 16, c - 24 = -3*d + 2*c. Solve -d*g = -12*g for g.
0
Suppose 10*d = d + 27. Suppose 30 = 3*s + d*f, -5*s - 2*f = -4*f - 36. Solve -4 = s*z - 6*z for z.
-2
Let i = -41 + 128. Suppose 5*t - i = 13. Solve 2*j = -3*j - t for j.
-4
Suppose 14*d - 6 = 22. Solve -d*c + 20 = 2*c for c.
5
Let t be (-1578)/(-36) - (-1)/6. Let b = t - 42. Solve 4 = -b*m + 4*m for m.
2
Suppose -p = 5*x - 2*x - 7, -3*x - 21 = -3*p. Suppose p*l + 2 = 2. Let r = 6 + -4. Solve l = -r*n - n for n.
0
Let k be ((-55)/22)/((-2)/4). Solve -35 + 15 = -k*v for v.
4
Suppose -6*p + p + 23 = -4*v, 3*p - 6 = 5*v. Let l(c) = 2 + 0*c - 6 + c**2 - 4*c + p*c. Let j be l(3). Solve j = -5*i - 6 for i.
-4
Let d(a) = -2*a**3 - 62*a**2 - 61*a - 30. Let o be d(-30). Let v(j) = j**2 + 7*j. Let q be v(-7). Suppose 4*p = 8 - q. Solve p*b = -o*b - 2 for b.
-1
Let m be ((-3)/(-1) - 0)*1. Suppose 4*v = m*z + 6, -10 = -z - 4*z. Suppose -6*s = -v*s - 12. Solve s*q + 5 - 21 = 0 for q.
4
Suppose 4*z - 2*m = -60 - 70, 2*z + 53 = 5*m. Let u(i) = -i**3 - 35*i**2 - 33*i + 35. Let l be u(z). Suppose -2*g - 3 = -3*g. Solve -n - g = l for n.
-4
Let t = -23 + 37. Suppose t*v = 9*v. Solve v = m - 4*m - 12 for m.
-4
Suppose 21 - 6 = 2*l + 5*g, l = -3*g + 9. Solve -v + 4*v - 15 = l for v.
5
Let l = -34 - -41. Suppose -4*d = -5 - l. Solve -4*f + 1 = -d for f.
1
Let m(p) = -p. Let k(j) = -7*j - 1. Let n(s) = k(s) - m(s). Let b be n(-1). Suppose -9*d + 8 = -7*d. Solve d*i - b = 3*i for i.
5
Let q(z) = -2*z - 6. Let b be q(-9). Suppose -b = -3*r + 24. Solve -l - 3*l = r for l.
-3
Let s(y) = y**2 - 4*y - 8. Let n be s(6). Suppose 3*i - 2*z = -n*z - 20, -3*i = -3*z + 15. Let j be (5/15)/((-1)/i). Solve j*h - 5 = -3*h for h.
1
Let f be -1 + 78/24 + 1/(-4). Suppose h + f*a + 17 = 7*a, 0 = 3*h - 4*a + 7. Solve 2*d - h*d + 4 = 0 for d.
4
Let b(c) be the first derivative of c**3/3 + 5*c**2/2 + 9*c + 1. Let d be b(-6). Suppose -s + d = 4*s, 57 = 3*z - s. Solve g + z = -3*g for g.
-5
Suppose -2*p + 0*p + 8 = 0. Let q(u) = -7*u + 37. Let x be q(4). Solve 11 + x = p*j for j.
5
Let w(d) = 3*d - 16. Let j be w(6). Suppose 3*l - 10 = j*s, 2 = 4*l - 5*s - 2. Solve l*h - 3 = 3*h for h.
1
Suppose -19*h = 3*h. Solve 5*q - 6*q + 2 = h for q.
2
Let h(t) be the third derivative of -t**6/120 - t**5/60 + t**4/12 + 2*t**3/3 + 7*t**2. Let v be h(0). Solve -w - 9 = -v*w for w.
3
Let b = -132 + 166. Suppose -3*i + b = -2. Solve -i + 0 = -3*q for q.
4
Let v(d) = d**2 - 19*d + 49. Let m be v(17). Solve -2*z - 17 + m = 0 for z.
-1
Suppose -6*h - 66 = -17*h. Solve 0 = h*z - 2*z for z.
0
Let i = -65 + 75. Solve -5*a - 5 - i = 0 for a.
-3
Suppose 0 = 10*l - 22*l. Solve 2*x + 1 + 3 = l for x.
-2
Suppose -4*m - 3*p - 8 - 5 = 0, 4*m + 38 = 2*p. Let o(n) = -n**3 - 7*n**2 - n - 6. Let z be o(m). Solve 5*r + z = 11 for r.
2
Suppose 3*g - 16 = -4. Let v(i) = 2*i**3 - 4*i**2 + i + 3. Let x be v(3). Solve 0 = 5*j + x - g for j.
-4
Let s = 38 - 20. Let h = 42 - s. Suppose -6 = 2*r + 4*d, 2*r + h = 6*r - d. Solve 0*x + r*x = -25 for x.
-5
Let v(q) = -2*q + 8. Let j be v(3). Let n be (-780)/(-90) - j/3. Solve -y = -3*y - n for y.
-4
Suppose 37 = -5*z + 72. Solve -z = -6*y - 1 for y.
1
Suppose g + 19*g = 2260. Solve 116*q + 3 = g*q for q.
-1
Let v be 23/7 - (4 - 260/70). Solve 9 = v*k - 3 for k.
4
Let u(j) = -j**2 - 7*j + 32. Let p be u(-10). Suppose -4*n - 17 = -r, -n + 0 = -4*r + 8. Let h(q) = q - 2. Let k be h(5). Solve k*c = r + p for c.
1
Suppose -4*g - 3*n - 2*n + 20 = 0, -5*n = -4*g + 20. Suppose 2*t - 38 = 4*w, -3*t - 16*w = -13*w - 39. Solve -t + 0 = g*k for k.
-3
Suppose 4*s + 3*h - 2*h - 12 = 0, 5*s - 15 = 2*h. Let j = -9 + 12. Suppose -j*v - 2 = -4*v. Solve k = v + s for k.
5
Let u(b) = b - 5. Let r be u(7). Let v be (-105)/(-10)*(r + 0). Let w = v - 9. Solve -4*q = -q - w for q.
4
Suppose 9*o - 168 = 2*o. Let p be (-1)/(-3*2/o). Solve -p*u = -u - 9 for u.
3
Let m(c) = -c**2 - 42*c - 211. Let a be m(-36). Solve -8 + a = -d for d.
3
Suppose -2*t = -6 - 14. Let p be (6/5)/(4/t). Let x = 4 + -2. Solve p*m + x = -10 for m.
-4
Let x = -1872 - -1894. Solve -7*s - 13 = x for s.
-5
Let u(m) = -58*m. Let k be u(-1). Let y = k + -50. Solve 0 = -8*g + 4*g + y for g.
2
Let k = 268 - 265. Solve 24 - 12 = k*h for h.
4
Suppose 0 = 60*s - 57*s - 36. Solve -s = -4*x + 4 for x.
4
Let p be 2/(21/9 - 3). Let s be (-2)/3*((p - 0) + -9). Solve s + 7 = 3*a for a.
5
Let c(u) be the second derivative of -u**5/5 + 13*u**4/12 - u**3/3 + u**2/2 - 9*u + 2. Let z be c(3). Solve -z*l - l = 25 for l.
-5
Suppose -12 + 4 = 2*s. Let d be 3 - s/20*-5. Solve d + 4 = -3*h for h.
-2
Let b = -302 + 302. Solve -n + b = 1 for n.
-1
Suppose 3*i = -2*i + 20. Let l be (-291)/(-99) + (-34)/(-561). Solve l*c - i*c = -3 for c.
3
Let o(m) = m**2 + 4*m - 24. Let y be o(-8). Let n(q) = q**2 - 10*q + 19. Let a be n(y). Solve -6*i = -a*i + 6 for i.
-2
Let a(c) be the third derivative of -c**4/24 + 7*c**3/6 - c**2. Let z be a(5). Suppose 0 = -4*n + 239 - 227. Solve -n*w - 1 = z for w.
-1
Let b be 4/(-8)*(-1 - -3) - -8. Let d be (-24 - -23)/((-1)/b). Solve 0 = -2*v + d*v - 10 for v.
2
Let k be (0 - (-3)/(-6))*4 + -85. Let n = k - -91. Solve u = 3*u - n for u.
2
Let u(s) = s**3 - 4*s**2 - 28*s - 16. Let c be u(8). Solve n - c + 15 = 0 for n.
1
Let b be (-2)/3 + 12/18. Suppose 4*w = 5*z, -2*w + b*w = -z. Let q be z*(2/6 + 0). Solve -2*o - o + 6 = q
|
{
"pile_set_name": "DM Mathematics"
}
|
1710
Calculate prob of sequence kn when two letters picked without replacement from okpkpkkna.
1/18
Two letters picked without replacement from {l: 1, g: 4, c: 3, j: 4, h: 5, z: 3}. What is prob of sequence lc?
3/380
Four letters picked without replacement from mmmmmmmmmmmmmmkmmm. What is prob of sequence mmmm?
7/9
Calculate prob of sequence qz when two letters picked without replacement from {d: 2, q: 2, z: 1}.
1/10
Calculate prob of sequence rii when three letters picked without replacement from irbgbrbbbbi.
2/495
Calculate prob of sequence xxpv when four letters picked without replacement from xpxpxpxxovepxp.
25/4004
What is prob of sequence ay when two letters picked without replacement from yyawo?
1/10
Calculate prob of sequence yyy when three letters picked without replacement from {y: 3}.
1
What is prob of sequence hntt when four letters picked without replacement from rhnhtt?
1/90
Two letters picked without replacement from {a: 4, l: 7, u: 4, y: 1, k: 1, q: 2}. What is prob of sequence ya?
2/171
Four letters picked without replacement from {t: 6, n: 5, z: 1, v: 2, j: 1, u: 1}. What is prob of sequence vntn?
1/182
What is prob of sequence dd when two letters picked without replacement from {x: 6, d: 6}?
5/22
Three letters picked without replacement from gpgpppppppp. What is prob of sequence pgg?
1/55
Three letters picked without replacement from {r: 1, y: 1, i: 4, j: 2, l: 2, f: 2}. Give prob of sequence fyr.
1/660
What is prob of sequence tjtt when four letters picked without replacement from {u: 2, j: 6, t: 10}?
1/17
Calculate prob of sequence rrn when three letters picked without replacement from {n: 3, r: 2}.
1/10
Three letters picked without replacement from xxxpxxpppxxxsnx. Give prob of sequence xns.
3/910
Calculate prob of sequence ekek when four letters picked without replacement from {k: 14, e: 5}.
455/11628
Three letters picked without replacement from wwffgwwfwxgfwwgnw. What is prob of sequence fxg?
1/340
What is prob of sequence ala when three letters picked without replacement from qqaalqaq?
1/56
What is prob of sequence cojo when four letters picked without replacement from cccoccmcoojccc?
9/4004
Calculate prob of sequence saq when three letters picked without replacement from {n: 1, k: 3, t: 1, s: 8, q: 1, a: 2}.
1/210
Three letters picked without replacement from tlvdtfx. Give prob of sequence xtf.
1/105
Three letters picked without replacement from bdddabbddbetttet. What is prob of sequence ddt?
1/42
What is prob of sequence ga when two letters picked without replacement from {l: 11, a: 1, g: 3}?
1/70
Four letters picked without replacement from ttntntttcatttttttct. What is prob of sequence nctt?
91/11628
Two letters picked without replacement from lllylllyyll. Give prob of sequence yy.
3/55
Two letters picked without replacement from ffikkfkfi. Give prob of sequence kk.
1/12
What is prob of sequence vvvv when four letters picked without replacement from {v: 7}?
1
What is prob of sequence ph when two letters picked without replacement from {m: 2, p: 3, v: 7, h: 3}?
3/70
Three letters picked without replacement from rokoviokkroeikiekok. What is prob of sequence oio?
10/969
Two letters picked without replacement from flzzynkl. Give prob of sequence yf.
1/56
Calculate prob of sequence ruis when four letters picked without replacement from rirsurriiii.
1/396
Two letters picked without replacement from {f: 2, u: 1, q: 1, r: 2}. What is prob of sequence rq?
1/15
Three letters picked without replacement from beepbeeepp. Give prob of sequence bbe.
1/72
Two letters picked without replacement from uuuuuuuuueuuuuu. Give prob of sequence ue.
1/15
Two letters picked without replacement from {e: 1, y: 1, r: 1, a: 2, j: 1, k: 2}. Give prob of sequence re.
1/56
Calculate prob of sequence rlr when three letters picked without replacement from {r: 2, l: 2}.
1/6
Calculate prob of sequence cv when two letters picked without replacement from ckfqffqqffvvf.
1/78
Two letters picked without replacement from ykkkkkkkkkkkkykkl. What is prob of sequence lk?
7/136
Three letters picked without replacement from {s: 1, p: 1, z: 2, j: 1}. Give prob of sequence pzz.
1/30
Three letters picked without replacement from cccmcmccccccc. Give prob of sequence mmc.
1/78
Four letters picked without replacement from {e: 2, u: 5}. Give prob of sequence ueuu.
1/7
What is prob of sequence khkx when four letters picked without replacement from {j: 3, k: 7, h: 1, z: 1, x: 4}?
1/260
Two letters picked without replacement from mkfbr. What is prob of sequence mk?
1/20
Three letters picked without replacement from {e: 3, t: 13}. Give prob of sequence ett.
39/280
What is prob of sequence ck when two letters picked without replacement from {c: 2, u: 7, k: 7}?
7/120
Calculate prob of sequence kuc when three letters picked without replacement from kkukckcuuckcucccccck.
2/57
Two letters picked without replacement from {g: 2, j: 1, q: 1, t: 3}. What is prob of sequence qt?
1/14
Three letters picked without replacement from niawisweassa. What is prob of sequence iae?
1/220
Calculate prob of sequence rey when three letters picked without replacement from {y: 2, e: 3, r: 2, w: 4, i: 6, b: 1}.
1/408
What is prob of sequence xx when two letters picked without replacement from {r: 1, i: 2, x: 2, u: 1}?
1/15
Calculate prob of sequence byff when four letters picked without replacement from {s: 1, r: 1, y: 1, f: 2, b: 1, n: 1}.
1/420
What is prob of sequence ddd when three letters picked without replacement from ddssdssssss?
1/165
Two letters picked without replacement from {t: 3, f: 7, l: 3}. What is prob of sequence fl?
7/52
What is prob of sequence paa when three letters picked without replacement from {a: 1, c: 1, p: 2, x: 2, y: 1}?
0
Calculate prob of sequence sg when two letters picked without replacement from gsgsg.
3/10
Two letters picked without replacement from nbyiiky. Give prob of sequence ny.
1/21
Four letters picked without replacement from {h: 2, l: 2, r: 2, e: 1, q: 1}. What is prob of sequence leeh?
0
Three letters picked without replacement from {r: 5, l: 4, b: 3}. Give prob of sequence lll.
1/55
Calculate prob of sequence fefd when four letters picked without replacement from {n: 1, d: 2, u: 3, e: 11, f: 2}.
11/23256
What is prob of sequence kw when two letters picked without replacement from vwkbvkvktbvttwwbkvvw?
4/95
What is prob of sequence ze when two letters picked without replacement from {l: 1, g: 10, e: 6, z: 1, h: 2}?
3/190
Three letters picked without replacement from lvqeoeqllelvueq. What is prob of sequence lqe?
8/455
Two letters picked without replacement from {t: 1, k: 1, l: 2, h: 1, e: 1, f: 1}. Give prob of sequence fk.
1/42
Calculate prob of sequence xbr when three letters picked without replacement from {a: 2, r: 1, p: 1, i: 1, x: 1, b: 1}.
1/210
What is prob of sequence znzn when four letters picked without replacement from {n: 5, z: 14}?
455/11628
Calculate prob of sequence ii when two letters picked without replacement from ubyibbwiiyy.
3/55
Calculate prob of sequence uua when three letters picked without replacement from {t: 3, a: 9, r: 2, u: 2}.
3/560
What is prob of sequence bzb when three letters picked without replacement from {j: 3, r: 11, z: 3, b: 3}?
1/380
Four letters picked without replacement from ggdnigndingginn. Give prob of sequence dngn.
5/819
What is prob of sequence zpll when four letters picked without replacement from zxuqzplulzzlzxuulzzu?
7/9690
Four letters picked without replacement from {w: 4, g: 2, i: 5}. Give prob of sequence wiwi.
1/33
Calculate prob of sequence zk when two letters picked without replacement from {k: 2, q: 1, v: 1, d: 3, c: 3, z: 5}.
1/21
Four letters picked without replacement from {m: 1, n: 4, s: 2}. What is prob of sequence nmns?
1/35
What is prob of sequence bzr when three letters picked without replacement from {b: 3, r: 1, z: 12}?
3/280
Four letters picked without replacement from {s: 7, t: 5}. Give prob of sequence tttt.
1/99
Four letters picked without replacement from {b: 11, z: 3}. Give prob of sequence bzzb.
5/182
What is prob of sequence htk when three letters picked without replacement from {h: 1, k: 1, t: 1, w: 1, v: 1}?
1/60
Calculate prob of sequence nvuf when four letters picked wit
|
{
"pile_set_name": "DM Mathematics"
}
|
te x.
-6, -2, 1, 4, 5
Factor -2*a**3 + 88*a**2 + 32*a - 1408.
-2*(a - 44)*(a - 4)*(a + 4)
Factor -3*s**3/7 + 384*s**2/7 + 27387*s/7.
-3*s*(s - 179)*(s + 51)/7
Factor y**2/5 - 1412*y/5 + 1411/5.
(y - 1411)*(y - 1)/5
Suppose r**2/6 - 7001*r/3 - 98063/6 = 0. What is r?
-7, 14009
Let 2*n**5/21 - 104*n**4/21 + 592*n**3/7 - 8500*n**2/21 - 42194*n/21 + 98260/7 = 0. What is n?
-5, 6, 17
Solve k**4/3 + 70*k**3/3 - k**2 - 208*k/3 + 140/3 = 0 for k.
-70, -2, 1
What is t in -3*t**4/8 - 531*t**3/4 + 9006*t**2 + 18540*t = 0?
-412, -2, 0, 60
Factor n**4/2 + 4496*n**3 - 434688*n**2 + 13942784*n - 148897792.
(n - 32)**3*(n + 9088)/2
Suppose a**5/2 + 800*a**4 - 29027*a**3/2 + 78401*a**2 - 116464*a + 51776 = 0. What is a?
-1618, 1, 8
Suppose 2*i**4 + 8422*i**3 + 8418*i**2 - 8422*i - 8420 = 0. What is i?
-4210, -1, 1
Factor -4*f**2 - 311144*f - 6050661796.
-4*(f + 38893)**2
Suppose -9*v**5/4 - 41*v**4/4 - 11*v**3/4 + 41*v**2/4 + 5*v = 0. Calculate v.
-4, -1, -5/9, 0, 1
Let -5*t**4 - 270*t**3 - 2755*t**2 + 19230*t - 25200 = 0. Calculate t.
-35, -24, 2, 3
Factor d**2 - 15640*d - 93876.
(d - 15646)*(d + 6)
Suppose q**4/4 - 247*q**3/2 + 5339*q**2/4 - 6287*q/2 + 1932 = 0. Calculate q.
1, 2, 8, 483
Find h, given that h**2/9 - 152*h/3 - 87892/9 = 0.
-146, 602
What is k in -16*k**3 + 183232*k**2 - 549588*k + 412164 = 0?
3/2, 11449
Let 5*i**4/4 - 45*i**3 - 167095*i**2 + 3015000*i + 5611250000 = 0. Calculate i.
-250, 268
Let -2*x**5/9 - 4474*x**4/9 - 2504318*x**3/9 - 2495374*x**2/9 + 2504320*x/9 + 2499848/9 = 0. Calculate x.
-1118, -1, 1
What is w in -2*w**3/7 - 106*w**2 - 42438*w/7 - 664290/7 = 0?
-305, -33
Let c**2/2 - 740*c - 7425/2 = 0. What is c?
-5, 1485
Factor 2*a**4 - 108594*a**3 + 325770*a**2 - 325766*a + 108588.
2*(a - 54294)*(a - 1)**3
Find g such that -4*g**5 - 3520*g**4 - 788212*g**3 - 6016840*g**2 + 14412416*g - 7603840 = 0.
-436, -10, 1
Find d such that -2*d**5 - 4*d**4 + 330*d**3 + 1684*d**2 - 328*d - 1680 = 0.
-10, -6, -1, 1, 14
Let 5*i**3 - 165*i**2 - 6870*i - 47200 = 0. What is i?
-16, -10, 59
Let -8*k**3/7 + 5364*k**2/7 + 35232*k/7 - 2708 = 0. What is k?
-7, 1/2, 677
Suppose p**3/3 + 62*p**2/3 - 2020*p/3 + 3784/3 = 0. What is p?
-86, 2, 22
What is m in 2*m**3/7 + 4444*m**2/7 + 4442*m/7 = 0?
-2221, -1, 0
Factor c**3/3 - 142525*c**2/3 + 5078272643*c/3 + 5078415169/3.
(c - 71263)**2*(c + 1)/3
Suppose 2*a**3/7 - 624*a**2/7 - 7226*a/7 + 38760/7 = 0. What is a?
-15, 4, 323
Determine c so that -2*c**3 - 1780*c**2 - 17600*c = 0.
-880, -10, 0
Factor -6*q**4 - 8524*q**3/3 - 335750*q**2 + 149784*q.
-2*q*(q + 237)**2*(9*q - 4)/3
What is r in -r**4/6 - 385*r**3/6 - 21119*r**2/6 - 20735*r/6 = 0?
-319, -65, -1, 0
Factor -8*l**4/11 - 15778*l**3/11 - 7781512*l**2/11 - 1944392*l/11.
-2*l*(l + 986)**2*(4*l + 1)/11
Factor -196*n**3 - 9158184*n**2 + 5233296*n - 747616.
-4*(n + 46726)*(7*n - 2)**2
Factor 3*v**2/2 + 4401*v + 8796.
3*(v + 2)*(v + 2932)/2
Factor r**3 - 775*r**2 + 12208*r - 48576.
(r - 759)*(r - 8)**2
Determine k, given that -2*k**2 - 838808*k - 87949857608 = 0.
-209702
Suppose -5*p**4 + 765*p**3 - 31735*p**2 + 194715*p - 318780 = 0. Calculate p.
3, 4, 69, 77
Factor 315218*m**4 + 1894484*m**3 + 19064*m**2 + 48*m.
2*m*(m + 6)*(397*m + 2)**2
Factor 3*n**3 + 2889*n**2 + 59280*n - 62172.
3*(n - 1)*(n + 22)*(n + 942)
Factor 3*m**3 - 1047*m**2 + 26580*m + 123264.
3*(m - 321)*(m - 32)*(m + 4)
Determine f, given that 4*f**4 + 48436*f**3 + 195519984*f**2 + 263169866176*f + 262974394624 = 0.
-4036, -1
Factor 2*o**3/5 - 198*o**2/5 - 6162*o/5 + 736438/5.
2*(o - 79)**2*(o + 59)/5
Let 27*u**3/5 - 48711*u**2/5 - 92112*u/5 + 10836/5 = 0. What is u?
-2, 1/9, 1806
Factor 1408*u**2 + 114049*u + 81.
(u + 81)*(1408*u + 1)
Factor -2*q**3/7 - 50*q**2/7 - 148*q/7 + 320.
-2*(q - 5)*(q + 14)*(q + 16)/7
Factor 5*n**2 - 2169385*n - 4338790.
5*(n - 433879)*(n + 2)
Factor -g**2 - 1347*g - 207090.
-(g + 177)*(g + 1170)
Suppose -2*h**2/5 - 14768*h = 0. What is h?
-36920, 0
Factor 41*k**3 + 345*k**2/2.
k**2*(82*k + 345)/2
Find s such that -s**3/4 + 8877*s**2/4 + 22205*s/2 = 0.
-5, 0, 8882
Suppose i**4/8 + 25*i**3 - 443*i**2/8 - 3975*i/4 - 1818 = 0. Calculate i.
-202, -3, 8
Solve 2*x**3/15 + 3208*x**2/15 + 181018*x/15 + 2600372/15 = 0.
-1546, -29
What is c in -722*c**5/7 - 342*c**4 + 2186*c**3/7 + 858*c**2/7 + 72*c/7 = 0?
-4, -3/19, 0, 1
Let z**2 - 2612*z + 2611 = 0. What is z?
1, 2611
Determine j, given that j**5/4 + 229*j**4 + 33961*j**3 - 8463840*j**2 + 341510400*j = 0.
-528, 0, 70
Factor -3*b**3 + 369*b**2 + 428427*b - 83625321.
-3*(b - 263)**2*(b + 403)
Find m such that 3*m**2 - 1203*m - 7326 = 0.
-6, 407
Factor o**2/4 - 3381*o/2 + 10134.
(o - 6756)*(o - 6)/4
Determine j, given that j**4/2 + 9*j**3 - 9419*j**2/2 - 4734*j + 9434 = 0.
-106, -2, 1, 89
Solve -s**2/2 + 131448*s - 8639288352 = 0 for s.
131448
Solve t**4 - 13*t**3 - 15*t**2 + 13*t + 14 = 0.
-1, 1, 14
Solve f**2 - 2590*f - 2591 = 0 for f.
-1, 2591
Factor 2*i**2/7 + 382*i/7 + 1304.
2*(i + 28)*(i + 163)/7
Suppose 2*n**5/3 + 94*n**4/3 + 604*n**3/3 - 796*n**2/3 - 202*n + 234 = 0. What is n?
-39, -9, -1, 1
Factor 2*o**2 - 114000*o + 1624500000.
2*(o - 28500)**2
Find f such that -5*f**4 - 21720*f**3 - 151770*f**2 + 108800*f + 1626375 = 0.
-4337, -5, 3
Determine i so that -12*i**4 - 30224*i**3 + 466028*i**2 - 577696*i + 141904 = 0.
-2534, 1/3, 1, 14
What is o in -5*o**5 + 3380*o**4 + 87510*o**3 + 80740*o**2 - 87505*o - 84120 = 0?
-24, -1, 1, 701
Determine a so that 2*a**2 + 262*a + 516 = 0.
-129, -2
Solve -2*u**4/15 - 256*u**3/15 - 332*u**2/3 + 4096*u/15 - 726/5 = 0.
-121, -9, 1
Factor 3*p**2 - 78*p - 30705.
3*(p - 115)*(p + 89)
Find b, given that 128*b**2 + 2092*b + 704 = 0.
-16, -11/32
What is c in -124002*c**3/11 - 1610034*c**2/11 + 25888*c/11 - 104/11 = 0?
-13, 2/249
Solve -30*k**3 - 3685*k**2 + 11325*k = 0 for k.
-755/6, 0, 3
Factor b**2/4 - 2253*b.
b*(b - 9012)/4
Let 2*z**3 - 148*z**2 - 2358*z + 8352 = 0. What is z?
-16, 3, 87
Let 4*j**4/7 - 3260*j**3/7 + 414096*j**2/7 + 109983760*j/7 + 109566400/7 = 0. What is j?
-124, -1, 470
Suppose -q**2/10 - 817746*q/5 - 334354260258/5 = 0. What is q?
-817746
Factor -2*z**3 - 1386*z**2 - 4132*z + 5520.
-2*(z - 1)*(z + 4)*(z + 690)
Solve -3*c**3/4 + 2979*c**2/2 + 65901*c/4 = 0 for c.
-11, 0, 1997
Factor -m**2 - 1016*m - 1015.
-(m + 1)*(m + 1015)
Factor -2*d**2 - 3186*d - 1266304.
-2*(d + 761)*(d + 832)
Let -20*t**3 + 8312*t**2 - 13232*t - 6624 = 0. Calculate t.
-2/5, 2, 414
Suppose m**2/4 - 77401*m/2 - 154803/4 = 0. What is m?
-1, 154803
Determine b so that 3*b**2/4 - 2132397*b/2 + 1515705655203/4 = 0.
710799
Factor 8*z**3/3 - 54816*z**2 - 54818*z - 41114/3.
2*(z - 20557)*(2*z + 1)**2/3
Factor 4*x**4 - 73848*x**3 + 340697716*x**2 + 1363677168*x + 1363972624.
4*(x - 9233)**2*(x + 2)**2
Suppose 10263*j**2 - 41061*j + 36 = 0. What is j?
3/3421, 4
Factor -n**2 - 25248*n - 159365376.
-(n + 12624)**2
Find j such that -2*j**3/5 - 21084*j**2/5 + 42176*j/5 = 0.
-10544, 0, 2
Find p such that 2*p**2/13 - 229090*p/13 - 229092/13 = 0.
-1, 114546
Factor r**3/8 + 7513*r**2/4 + 3756*r.
r*(r + 2)*(r + 15024)/8
Determine o so that 2211125*o**2 - 1609300*o + 292820 = 0.
242/665
Factor 4*i**2 - 63780*i + 255056.
4*(i - 15941)*(i - 4)
Factor -25*f**2 + 265*f - 520.
-5*(f - 8)*(5*f - 13)
Suppose 396*n**3 - 11964*n**2 - 9640*n - 992 = 0. What is n?
-2/3, -4/33, 31
Determine l, given that -32*l**4/9 + 8944*l**3/9 - 57202*l**2/9 + 114356*l/9 - 22022/3 = 0.
1, 11/4, 273
Factor -5*s**5 + 19495*s**4 - 310960*s**3 + 1242560*s**2.
-5*s**2*(s - 3883)*(s - 8)**2
Determine n so that -6*n**4/7 - 17172*n**3/7 - 12252174*n**2/7 + 49214952*n/7 - 49283736/7 = 0.
-1433, 2
Suppose 4*k**4/7 + 77516*k**3/7 + 53643840*k**2 - 375584400*k/7 = 0. What is k?
-9690, 0, 1
Suppose 3*v**3/2 + 813*v**2/2 + 23808*v + 46002 = 0. What is v?
-187, -82, -2
Find r such that -5*r**4 - 6581275*r**3 - 2887543181280*r**2 - 422303190257812480*r + 422306077807575040 = 0.
-438752, 1
Determine i, given that 4*i**2 - 2075600*i = 0.
0, 518900
Factor 2*w**2/9 - 178*w/9 - 196.
2*(w - 98)*(w + 9)/9
Factor 2*r**2/9 - 8282*r/3 - 174020/9.
2*(r - 12430)*(r + 7)/9
Factor 6*c**3 + 13372*c**2 - 13378*c.
2*c*(c - 1)*(3*c + 6689)
Solve -2*o**2/7 - 600*o/7 + 8138/7 = 0.
-313, 13
Determine t so that -t**4/4 + 349*t**3/2 - 11621*t**2/4 + 7498*t - 4767 = 0.
1, 2, 14, 681
|
{
"pile_set_name": "DM Mathematics"
}
|
comes next: 305, 299, 281, 245, 185?
95
What is next in 22292, 22291, 22290?
22289
What is next in 22, 50, 82, 118, 158, 202, 250?
302
What is the next term in -345, -687, -1029, -1371, -1713?
-2055
What is the next term in 446, 1818, 4114, 7340, 11502, 16606, 22658?
29664
What comes next: 39, 91, 169, 267, 379?
499
What is the next term in -54, -88, -92, -60, 14, 136, 312, 548?
850
What is next in -93, -77, -57, -39, -29?
-33
What is next in -97, -116, -135?
-154
What comes next: -391, -398, -409, -424?
-443
What is the next term in -64, -125, -190, -259?
-332
What comes next: -13, 29, 69, 107, 143, 177?
209
What is next in 9096, 9093, 9092, 9093, 9096, 9101?
9108
What comes next: 7, 12, 13, 4, -21, -68, -143, -252?
-401
What is next in 164, 189, 252, 371, 564?
849
What comes next: 353, 356, 359, 362?
365
What is next in -14, -49, -144, -329, -634?
-1089
What comes next: -312, -260, -168, -30, 160, 408?
720
What is the next term in -119, -117, -105, -77, -27, 51, 163?
315
What is the next term in -99, -120, -141, -162?
-183
What comes next: 1452, 1449, 1444, 1437?
1428
What comes next: 549, 2222, 5019, 8946, 14009?
20214
What is next in 4674, 4675, 4676, 4677, 4678?
4679
What is the next term in 815, 810, 805, 800, 795?
790
What is the next term in -257, -534, -817, -1100, -1377, -1642, -1889, -2112?
-2305
What is next in 52, 104, 156, 208, 260?
312
What comes next: -976, -974, -964, -940, -896?
-826
What is the next term in -53, -69, -95, -131, -177?
-233
What comes next: -58, -239, -546, -979, -1538, -2223?
-3034
What is the next term in 866, 870, 876, 884, 894, 906?
920
What is next in 37, 87, 137, 187, 237?
287
What is next in 167, 419, 757, 1181, 1691?
2287
What is next in -772, -768, -752, -718, -660, -572, -448, -282?
-68
What comes next: -18, -53, -90, -129, -170, -213, -258?
-305
What is next in 7, 15, 29, 49, 75, 107, 145?
189
What comes next: 45, 43, 31, 3, -47, -125, -237, -389?
-587
What comes next: -17, -21, -29, -41?
-57
What is the next term in -3, -107, -291, -561, -923, -1383, -1947, -2621?
-3411
What is next in -86, -617, -2048, -4829, -9410, -16241, -25772, -38453?
-54734
What is next in -63, -25, 29, 93, 161?
227
What is the next term in -49, -161, -347, -607?
-941
What comes next: -23, -17, -7, 7, 25, 47?
73
What comes next: -854, -1698, -2542, -3386, -4230?
-5074
What comes next: -565, -1134, -1703, -2272, -2841, -3410?
-3979
What comes next: 12, 70, 172, 324, 532, 802?
1140
What comes next: 1018, 2029, 3036, 4039, 5038?
6033
What is the next term in 732, 1463, 2196, 2931?
3668
What comes next: 515, 1039, 1577, 2135, 2719, 3335, 3989?
4687
What comes next: -250, -501, -752, -1003?
-1254
What is next in 2, 32, 64, 98?
134
What is next in -326, -664, -1002?
-1340
What is the next term in -161, -305, -437, -551, -641, -701, -725?
-707
What is next in -38, -98, -158, -218, -278, -338?
-398
What comes next: -249, -235, -199, -129, -13, 161?
405
What is next in -2076, -4160, -6246, -8334, -10424, -12516, -14610?
-16706
What is next in -497, -1987, -4471, -7949, -12421, -17887?
-24347
What comes next: 10, 41, 120, 271, 518?
885
What is next in -205, -206, -217, -244, -293, -370, -481, -632?
-829
What is the next term in -1613, -1607, -1597, -1583, -1565, -1543?
-1517
What is next in 10256, 10255, 10254?
10253
What is the next term in -44, -197, -446, -785, -1208, -1709?
-2282
What is the next term in -38, -32, -16, 16, 70, 152, 268, 424?
626
What comes next: 28, 17, 6, -5, -16?
-27
What comes next: 3080, 3056, 3016, 2954, 2864, 2740, 2576, 2366?
2104
What comes next: -83, -163, -243, -323?
-403
What is next in -324, -329, -338, -351, -368, -389, -414?
-443
What is next in 80, 281, 602, 1043, 1604?
2285
What comes next: -23, -57, -137, -281, -507, -833, -1277, -1857?
-2591
What is the next term in 48, 193, 450, 831, 1348, 2013?
2838
What is next in -198, -396, -594, -792?
-990
What comes next: -97, -99, -101, -103, -105?
-107
What is the next term in 44, 98, 158, 224, 296?
374
What is next in 448, 899, 1352, 1807, 2264, 2723?
3184
What is next in 663, 634, 603, 570, 535, 498?
459
What is the next term in -83, -169, -253, -335, -415, -493, -569?
-643
What is next in 1, -7, -19, -35, -55, -79, -107?
-139
What comes next: -5, 65, 183, 349?
563
What is next in 742, 1442, 2144, 2848, 3554, 4262, 4972?
5684
What comes next: -25874, -25875, -25876, -25877?
-25878
What comes next: 403, 402, 403, 406?
411
What comes next: -196, -765, -1710, -3031, -4728, -6801?
-9250
What is the next term in -1635, -1641, -1649, -1659, -1671, -1685, -1701?
-1719
What is next in 45, 87, 127, 165, 201, 235, 267?
297
What is the next term in -390, -774, -1158, -1542, -1926, -2310?
-2694
What is the next term in -1169, -4683, -10539, -18737, -29277, -42159, -57383?
-74949
What is the next term in -10, 12, 56, 122?
210
What is the next term in 2471, 2473, 2475, 2477, 2479?
2481
What comes next: 916, 1829, 2742?
3655
What is the next term in 174, 350, 524, 696, 866, 1034?
1200
What comes next: -5652, -5651, -5650?
-5649
What is the next term in 203, 204, 205, 206, 207, 208?
209
What comes next: 49, 61, 79, 109, 157, 229, 331, 469?
649
What is the next term in -7, -30, -59, -94, -135, -182, -235?
-294
What is the next term in 111, 123, 143, 171, 207, 251, 303?
363
What comes next: 64, 50, 12, -62, -184?
-366
What is next in 290, 311, 336, 365, 398, 435, 476?
521
What comes next: -70, -147, -224?
-301
What comes next: -4, -5, -4, -1, 4, 11?
20
What is next in 13, 25, 37, 49, 61?
73
What comes next: 20, 27, 40, 59, 84, 115, 152?
195
What comes next: 8, 1, -6, -13?
-20
What comes next: 16, 4, -10, -26?
-44
What is next in 35, 45, 55?
65
What is next in 30, 81, 132?
183
What is the next term in 498, 497, 496, 495?
494
What is next in 219, 279, 371, 489, 627, 779, 939?
1101
What is next in -47, -94, -141, -188, -235, -282?
-329
What comes next: -1882, -7535, -16948, -30115, -47030, -67687?
-92080
What comes next: -127, -256, -385, -514, -643, -772?
-901
What comes next: -13580, -13569, -13544, -13499, -13428, -13325?
-13184
What comes next: -9, 5, 17, 27, 35, 41?
45
What is next in 1854, 3714, 5576, 7440, 9306?
11174
What comes next: 31, 73, 131, 211, 319, 461, 643?
871
What comes next: 37, 151, 431, 961, 1825, 3107?
4891
What comes next: 26, 29, 6, -55, -166?
-339
What is the next term in -454, -453, -450, -445, -438, -429, -418?
-405
What comes next: 130, 456, 980, 1702, 2622?
3740
What is the next term in -8, -5, -10, -35, -92?
-193
What is next in -12, -33, -54, -75, -96, -117?
-138
What comes next: 420, 424, 428, 432, 436?
440
What comes next: 163, 330, 497, 664, 831, 998?
1165
What is next in 615, 617, 619, 621?
623
What comes next: -135, -150, -179, -228, -303, -410, -555?
-744
What is the next term in 437, 436, 435, 434?
433
What comes next: 11, 54, 125, 224?
351
What is next in 212, 512, 980, 1700, 2756, 4232, 6212, 8780?
12020
What is next in 361, 369, 377?
385
What is next in 17, 59, 101, 143, 185?
227
What is next in 5580, 5582, 5584, 5586, 5588, 5590?
5592
What comes next: -1639, -3250, -4835, -6382, -7879, -9314?
-10675
What is next in -8, -32, -94, -212, -404, -688, -1082?
-1604
What comes next: -58, -479, -1622, -3847, -7514, -12983?
-20614
What is the next term in -113, -82, 7, 184, 479, 922, 1543?
2372
What is the next term in -1157, -1157, -1159, -1163?
-1169
What is the next term in -29347, -29345, -29343, -29341, -29339?
-29337
What is the next term in 120, 117, 110, 99?
84
What is next in 36, 38, 38, 36, 32?
26
What is next in -9, -12, -13, -12, -9, -4, 3?
12
What comes next: 98, 97, 94, 89, 82, 73, 62?
49
What comes next: -538, -1079, -1620?
-2161
What is the next term in -348, -706, -1074, -1458, -1864?
-2298
What is the next term in -37, -64, -91, -118, -145, -172?
-199
What is next in 209, 209, 201, 179, 137, 69?
-31
What comes next: 608, 610, 612, 614?
616
What comes next: -11, -47, -83?
-119
What is next in 65, 71, 77, 83, 89, 95?
101
What is next in -77, -153, -229?
-305
What is next in 11182, 11183, 11184, 11185?
11186
What is next in 0, 38, 114, 246, 452, 750, 1158?
1694
What comes next: 24, 6, -46, -150, -324, -586, -954, -1446?
-2080
What comes next: -283, -278, -271, -262, -251?
-238
What is next in -304, -306, -310, -316, -32
|
{
"pile_set_name": "DM Mathematics"
}
|
2176 = 0.
-2, -1, 1, 544
Factor -2*k**4/7 - 4*k**3/7 + 62*k**2/7 - 8*k.
-2*k*(k - 4)*(k - 1)*(k + 7)/7
Determine o, given that 16*o**5/3 + 1960*o**4/3 + 79705*o**3/3 + 1062515*o**2/3 - 546325*o/3 + 68921/3 = 0.
-41, 1/4
Factor 2*t**2 - 1236*t + 190962.
2*(t - 309)**2
Factor -2*h**4/3 + 236*h**3/15 - 448*h**2/5 - 192*h/5.
-2*h*(h - 12)**2*(5*h + 2)/15
Factor -l**3 - 9*l**2 - 23*l - 15.
-(l + 1)*(l + 3)*(l + 5)
Let -3*q**2/5 - 66*q/5 + 144/5 = 0. Calculate q.
-24, 2
Factor -45*k**2 - 145*k - 30.
-5*(k + 3)*(9*k + 2)
Factor -2*m**3/5 - 104*m**2/5 + 2358*m/5 - 2268.
-2*(m - 9)**2*(m + 70)/5
Factor r**2/6 + r/6 - 55/3.
(r - 10)*(r + 11)/6
Factor 2*f**2 - 112*f + 110.
2*(f - 55)*(f - 1)
Factor 4*a**2 + 3196*a - 12848.
4*(a - 4)*(a + 803)
Factor -2*v**3/9 - 104*v**2/3 - 5408*v/3 - 281216/9.
-2*(v + 52)**3/9
What is n in n**5/7 + 5*n**4/7 + 3*n**3/7 - 9*n**2/7 = 0?
-3, 0, 1
Factor 245*o**2/2 - 725*o/2 - 15.
5*(o - 3)*(49*o + 2)/2
Factor -2*d**2/7 - 6*d/7.
-2*d*(d + 3)/7
Solve 72*l**4/7 + 456*l**3/7 + 794*l**2/7 + 228*l/7 + 18/7 = 0.
-3, -1/6
Factor f**2/4 - 325*f/4 + 81.
(f - 324)*(f - 1)/4
Let 4*f**4/5 + 8*f**3/5 - 28*f**2/5 + 16*f/5 = 0. What is f?
-4, 0, 1
Solve 3*q**3/5 + 6*q**2/5 - 33*q/5 - 36/5 = 0 for q.
-4, -1, 3
Solve 8*c**4/7 - 8*c**3 - 1014*c**2/7 + 6992*c/7 + 7942/7 = 0 for c.
-11, -1, 19/2
Factor -25*u**3 + 50*u**2 - 31*u + 6.
-(u - 1)*(5*u - 3)*(5*u - 2)
Determine g, given that -57*g**5/4 - 127*g**4/4 - 81*g**3/4 - 9*g**2/4 + g/2 = 0.
-1, -1/3, 0, 2/19
Factor 2*k**3/3 - 6*k**2 + 40*k/3.
2*k*(k - 5)*(k - 4)/3
Determine p so that -3*p**2/8 + 1185*p/8 - 1179/4 = 0.
2, 393
Suppose -8*n**4/5 + 4*n**3 - 16*n**2/5 + 4*n/5 = 0. Calculate n.
0, 1/2, 1
What is r in 4*r**5 - 248*r**4/7 - 344*r**3/7 + 208*r**2/7 + 316*r/7 + 40/7 = 0?
-1, -1/7, 1, 10
Determine b, given that 4*b**5 - 184*b**4 - 776*b**3 - 1184*b**2 - 796*b - 200 = 0.
-1, 50
What is l in 3*l**3 - 3*l**2 - 51*l - 45 = 0?
-3, -1, 5
Factor 4*i**2 - 268*i + 520.
4*(i - 65)*(i - 2)
Let -u**2/2 + 11*u - 36 = 0. Calculate u.
4, 18
Suppose 15*h**3/2 + 37*h**2 + 34*h - 20 = 0. What is h?
-10/3, -2, 2/5
Factor 10*h**2/3 + 1294*h/9 + 172/9.
2*(h + 43)*(15*h + 2)/9
Factor -3*r**2/5 - 6498*r - 17593335.
-3*(r + 5415)**2/5
Factor 3*k**2 - 117*k + 510.
3*(k - 34)*(k - 5)
Find m such that m**4/3 - 13*m**3/3 + 22*m**2/3 = 0.
0, 2, 11
Factor 2*j**3 - 80*j**2.
2*j**2*(j - 40)
Suppose 3*v**2 + 9*v - 390 = 0. What is v?
-13, 10
Let 2*i**4 + 2*i**3 = 0. What is i?
-1, 0
Factor -5*m**2 - 90*m - 400.
-5*(m + 8)*(m + 10)
Determine g so that -3*g**4 - 12*g**3 + 3*g**2 + 48*g + 36 = 0.
-3, -2, -1, 2
Factor 35*j**2 - 8390*j - 2400.
5*(j - 240)*(7*j + 2)
Determine t so that -2*t**2/5 + 78*t/5 + 2052/5 = 0.
-18, 57
Find m such that m**2/2 + 15*m - 31/2 = 0.
-31, 1
What is r in -3*r**2/5 - 9*r - 78/5 = 0?
-13, -2
Solve 3*c**3/2 + 33*c**2/2 + 45*c = 0 for c.
-6, -5, 0
Solve 12*a**4 - 112*a**3 - 84*a**2 + 40*a = 0.
-1, 0, 1/3, 10
Factor -2*g**2 - 432*g - 23328.
-2*(g + 108)**2
Determine t so that -t**4 - 18*t**3 - 71*t**2 - 78*t = 0.
-13, -3, -2, 0
Suppose -2*y**3/7 - 10*y**2/7 - 16*y/7 - 8/7 = 0. What is y?
-2, -1
Suppose -3*o**4 - 42*o**3 + 51*o**2 + 90*o = 0. What is o?
-15, -1, 0, 2
What is d in -5*d**5 + 30*d**4 + 320*d**3 - 1990*d**2 - 315*d + 1960 = 0?
-8, -1, 1, 7
Suppose 4*i**4 + 12*i**3 - 96*i**2 + 112*i = 0. Calculate i.
-7, 0, 2
Factor -2*d**2 - 298*d + 300.
-2*(d - 1)*(d + 150)
Factor a**3/4 + 13*a**2/4 - 5*a - 21.
(a - 3)*(a + 2)*(a + 14)/4
Determine m so that -5*m**3 + 380*m**2 + 395*m - 770 = 0.
-2, 1, 77
Factor -68*x**2 + 84*x + 104.
-4*(x - 2)*(17*x + 13)
Suppose 4*p**4 + 28*p**3 + 36*p**2 - 108*p - 216 = 0. Calculate p.
-3, 2
Determine d so that 2*d**3/5 + 34*d**2/5 - 36*d/5 = 0.
-18, 0, 1
Find h, given that -2*h**3/9 + 404*h**2/3 - 806*h/3 + 1208/9 = 0.
1, 604
Factor 4*y**3/5 + 261*y**2/5 + 2769*y/5 + 676/5.
(y + 13)*(y + 52)*(4*y + 1)/5
Factor -2*n**4 - 12*n**3 - 16*n**2.
-2*n**2*(n + 2)*(n + 4)
Factor -2*g**2/15 + 88*g/5 - 2904/5.
-2*(g - 66)**2/15
Factor -r**4 - 7*r**3 + 9*r**2 + 7*r - 8.
-(r - 1)**2*(r + 1)*(r + 8)
Factor -2*b**4/5 + 188*b**3/5 - 2402*b**2/5 - 94752*b/5 - 508032/5.
-2*(b - 56)**2*(b + 9)**2/5
Solve -y**2/4 - 39*y/4 + 10 = 0.
-40, 1
Find v such that 324*v**3/7 - 4932*v**2/7 + 1084*v/7 - 60/7 = 0.
1/9, 15
Factor 5*w**3 + 925*w**2 + 3595*w - 4525.
5*(w - 1)*(w + 5)*(w + 181)
Factor 2*m**3/9 + 104*m**2/9 - 24*m.
2*m*(m - 2)*(m + 54)/9
Solve v**4/2 - v**3 - 2*v**2 + v + 3/2 = 0 for v.
-1, 1, 3
Factor -n**3/5 + 2*n**2 + 13*n/5 - 22/5.
-(n - 11)*(n - 1)*(n + 2)/5
Let 2*n**2 - 1206*n - 1208 = 0. Calculate n.
-1, 604
Factor 3*s**3 - 90*s**2 + 171*s - 84.
3*(s - 28)*(s - 1)**2
Factor 3*s**2 - 1260*s + 132300.
3*(s - 210)**2
Determine i so that -i**5/2 - i**4/2 + 13*i**3/2 + i**2/2 - 6*i = 0.
-4, -1, 0, 1, 3
Factor 3*t**3/5 - 588*t**2/5.
3*t**2*(t - 196)/5
Let -2*m**2/15 - 44*m/15 - 16/3 = 0. Calculate m.
-20, -2
Factor -t**2/4 - 2787*t/4 + 697.
-(t - 1)*(t + 2788)/4
Factor -4*q**2 + 17776*q - 19749136.
-4*(q - 2222)**2
Let 2*x**3/9 - 4*x**2/9 - 26*x/9 - 20/9 = 0. What is x?
-2, -1, 5
What is o in -o**4/4 + 2*o**3 - 7*o**2/4 = 0?
0, 1, 7
Determine p, given that 3*p**4 + 57*p**3 + 183*p**2 + 27*p - 270 = 0.
-15, -3, -2, 1
Determine z, given that 5*z**3 - 25*z**2 + 30*z = 0.
0, 2, 3
Let o**5 - 356*o**4 + 33421*o**3 - 310394*o**2 + 968800*o - 957728 = 0. What is o?
2, 4, 173
Factor 2*j**5 - 12*j**4 - 40*j**3 + 48*j**2 + 128*j.
2*j*(j - 8)*(j - 2)*(j + 2)**2
Factor -4*j**2/7 - 1672*j/7 - 3328/7.
-4*(j + 2)*(j + 416)/7
Factor -2*n**2/11 - 14*n/11 - 20/11.
-2*(n + 2)*(n + 5)/11
Factor -5*p**4 + 50*p**3 - 115*p**2 + 70*p.
-5*p*(p - 7)*(p - 2)*(p - 1)
Factor 18*k**5 + 120*k**4 + 290*k**3 + 300*k**2 + 120*k + 16.
2*(k + 2)**3*(3*k + 1)**2
Factor 9*y**3/7 + 12*y**2/7 - 15*y - 36/7.
3*(y - 3)*(y + 4)*(3*y + 1)/7
Factor -15*m**3 + 63*m**2 - 12*m.
-3*m*(m - 4)*(5*m - 1)
What is x in -2*x**2 + 322*x/3 - 212/3 = 0?
2/3, 53
Factor m**3 + 814*m**2/7 - 587*m/7 - 234/7.
(m - 1)*(m + 117)*(7*m + 2)/7
What is w in 2*w**3/3 - 80*w**2 + 2958*w - 31212 = 0?
18, 51
Let 3*u**5 + 21*u**4 + 6*u**3 - 120*u**2 = 0. What is u?
-5, -4, 0, 2
Factor -3*b**2/8 + 117*b/8 - 297/4.
-3*(b - 33)*(b - 6)/8
Let -2*n**3/7 - 4*n**2 - 8*n + 240/7 = 0. What is n?
-10, -6, 2
Factor 54*z**4 + 204282*z**3 + 204246*z**2 + 68078*z + 7564.
2*(z + 3782)*(3*z + 1)**3
Solve t**5 + 4*t**4 - 16*t**2 - 16*t = 0 for t.
-2, 0, 2
Factor 2*d**4/3 - 112*d**3/3 + 1676*d**2/3 - 1008*d + 486.
2*(d - 27)**2*(d - 1)**2/3
Find m, given that -20*m**4/3 + 272*m**3/3 - 748*m**2/3 + 256*m/3 + 80 = 0.
-2/5, 1, 3, 10
Solve 3*l**2/5 + 744*l/5 + 46128/5 = 0.
-124
Factor 5*q**2 + 210*q + 2205.
5*(q + 21)**2
Suppose 4*s**5/5 + 24*s**4/5 - 328*s**3/5 - 2672*s**2/5 - 4284*s/5 - 392 = 0. Calculate s.
-7, -1, 10
Factor -7*l**4 - 9*l**3 + 82*l**2 + 24*l.
-l*(l - 3)*(l + 4)*(7*l + 2)
Determine y so that -3*y**4 + 9*y**3 + 12*y**2 = 0.
-1, 0, 4
Determine t so that -t**3 + 25*t = 0.
-5, 0, 5
Let 4*o**4 - 296*o**3 + 2164*o**2 + 122544*o + 685584 = 0. What is o?
-9, 46
Suppose -16*n**5/7 - 32*n**4/7 + 7*n**3 + 2*n**2/7 - 3*n/7 = 0. What is n?
-3, -1/4, 0, 1/4, 1
Suppose -d**3/2 - 25*d**2 - 238*d - 380 = 0. Calculate d.
-38, -10, -2
Suppose 3*d**4 + 12*d**3 + 9*d**2 - 12*d - 12 = 0. What is d?
-2, -1, 1
Let 4*g**5 + 108*g**4 + 600*g**3 + 800*g**2 = 0. What is g?
-20, -5, -2, 0
Solve -168*o**2/5 - 66*o/5 + 9/5 = 0.
-1/2, 3/28
Solve -t**2/2 - 174*t + 349/2 = 0.
-349, 1
Suppose -2*c**4/5 + 48*c**3/5 - 288*c**2/5 = 0. Calculate c.
0, 12
Determine m so that 4*m**3/5 + 32*m**2/5 + 12*m = 0.
-5, -3, 0
Factor -x**2/2 - 4*x + 65/2.
-(x - 5)*(x + 13)/2
What is l in 4*l**5 - 12*l**4 - 296*l**3 + 120*l**2 + 4900*l + 4500 = 0?
-5, -1, 5, 9
Suppose a**2 - 44*a + 484 = 0. What is a?
22
Find i, given that 14*i**3/11 - 402*i**2/11 + 276*i/11 + 112/11 = 0.
-2/7, 1, 28
Factor 125*j**4 - 650*j**3 + 545*j**2 + 780*j + 180.
5*(j - 3)**2*(5*j + 2)**2
Factor -n**2/4 - 15*n/4.
-n*(n + 15)/4
Suppose 4*n**4 + 2428*n**3 + 364764*n**2 - 1126060*n - 1488400 = 0. Calculate n.
-305, -1, 4
Determine n so that n**4/3 + 52*n**3/3 - 575*n**2 = 0.
-75, 0, 23
Factor -v**2/5 - 787*v/5 - 1092.
-(v + 7)*(v + 780)/5
Factor -3*x**2 + 3132*x + 3135.
-3*(x - 1045)*(x + 1)
Factor -o**2/7 - 26*o/7 - 25/7.
-(o + 1)*(o
|
{
"pile_set_name": "DM Mathematics"
}
|
13704.7
What is -0.0226329925 rounded to 3 dps?
-0.023
Round 13.70616576 to 2 dps.
13.71
What is -0.246880539 rounded to 3 dps?
-0.247
Round 0.626844083 to 4 dps.
0.6268
What is -12749487.8 rounded to the nearest one thousand?
-12749000
Round -55649485.8 to the nearest ten thousand.
-55650000
What is -16536.5555 rounded to the nearest 100?
-16500
Round 217834.53 to the nearest one hundred thousand.
200000
Round -99141240 to the nearest ten thousand.
-99140000
What is 0.0000015363328 rounded to 6 dps?
0.000002
Round -130.26303 to the nearest 100.
-100
Round -2458532.43 to the nearest 100.
-2458500
Round 0.00107092245 to five dps.
0.00107
What is 195674.3455 rounded to the nearest one hundred?
195700
What is 6.15500532 rounded to 1 decimal place?
6.2
What is -1040420289 rounded to the nearest one million?
-1040000000
Round 0.0095510413 to 6 decimal places.
0.009551
What is 0.19910764 rounded to four dps?
0.1991
Round 0.0360428193 to 4 decimal places.
0.036
What is -0.87913815 rounded to four decimal places?
-0.8791
Round 12941.3361 to the nearest 10.
12940
Round -25.1955054 to zero decimal places.
-25
What is -11.04239932 rounded to zero decimal places?
-11
Round -184.1134426 to the nearest 10.
-180
What is -85000.514 rounded to the nearest 10000?
-90000
Round -26.891158804 to the nearest integer.
-27
What is -85853959 rounded to the nearest 100000?
-85900000
Round 0.0048488002 to five decimal places.
0.00485
Round 5575.76896 to the nearest 1000.
6000
What is 3.9360485 rounded to 3 decimal places?
3.936
Round 26.42979156 to two dps.
26.43
Round 0.0144926158 to 6 dps.
0.014493
What is 780.4169268 rounded to the nearest 100?
800
What is -21855.1376 rounded to the nearest 10?
-21860
Round 86.1920682 to the nearest ten.
90
What is 3.615654989 rounded to 2 decimal places?
3.62
Round 0.016723556 to 4 dps.
0.0167
Round 96.0012942 to the nearest integer.
96
Round 4.67219094 to 2 dps.
4.67
What is -0.01157611107 rounded to 4 dps?
-0.0116
Round -2.5275643 to three dps.
-2.528
What is 10310762.827 rounded to the nearest ten thousand?
10310000
What is 11.457906 rounded to 4 dps?
11.4579
What is -28099612 rounded to the nearest one hundred thousand?
-28100000
Round 0.39029862 to one dp.
0.4
What is -16909842.2 rounded to the nearest 1000000?
-17000000
Round 39966.45867 to 0 decimal places.
39966
Round -6280.825 to the nearest one hundred.
-6300
What is -0.003166753008 rounded to 6 dps?
-0.003167
Round 0.0078684165 to five decimal places.
0.00787
Round -28759.7613 to the nearest integer.
-28760
Round 198604.664 to the nearest 10000.
200000
Round 1.31612112 to 3 decimal places.
1.316
What is -0.0761564 rounded to two decimal places?
-0.08
What is -4908.070225 rounded to 1 decimal place?
-4908.1
What is 14.36164754 rounded to 1 dp?
14.4
What is 177.4809568 rounded to 1 decimal place?
177.5
What is 2.91112384 rounded to one decimal place?
2.9
Round 0.007747123192 to three dps.
0.008
Round -830.040511 to one dp.
-830
What is 0.16047703 rounded to one dp?
0.2
Round 0.000206541339 to 5 decimal places.
0.00021
What is -6165597080 rounded to the nearest one million?
-6166000000
What is 3732382.917 rounded to the nearest 1000?
3732000
What is 9190.4965 rounded to the nearest one hundred?
9200
Round 2323.46194 to the nearest one hundred.
2300
What is -0.000085519305 rounded to 7 dps?
-0.0000855
Round -1865.02218 to the nearest ten.
-1870
What is 9600821.11 rounded to the nearest ten thousand?
9600000
Round -0.00168720624 to 5 decimal places.
-0.00169
What is -0.07556371313 rounded to 5 dps?
-0.07556
What is -792045780 rounded to the nearest one hundred thousand?
-792000000
Round -41.9621593 to 3 dps.
-41.962
Round 58.466889 to two dps.
58.47
What is -2.802674876 rounded to 3 dps?
-2.803
What is 142780.8671 rounded to the nearest 1000?
143000
Round -0.00049267429 to 6 decimal places.
-0.000493
Round 7860.5914 to the nearest ten thousand.
10000
What is -0.2463336949 rounded to 4 decimal places?
-0.2463
Round 717.4779753 to the nearest integer.
717
What is 0.01991920196 rounded to four decimal places?
0.0199
What is 3595322860 rounded to the nearest 1000000?
3595000000
Round -232.32182 to one decimal place.
-232.3
Round -0.00872700794 to 5 dps.
-0.00873
Round -0.018410766 to 3 dps.
-0.018
Round 1137325.462 to the nearest 100000.
1100000
What is -2.43388961 rounded to three decimal places?
-2.434
Round 0.00217462356 to four dps.
0.0022
Round -18.45331279 to three dps.
-18.453
What is -18365985.5 rounded to the nearest 10000?
-18370000
What is 190005.0116 rounded to the nearest 1000?
190000
Round -1380228160 to the nearest one million.
-1380000000
What is -0.260587 rounded to 5 dps?
-0.26059
What is -5400889980 rounded to the nearest 1000000?
-5401000000
Round 0.001789742474 to 6 dps.
0.00179
Round -0.00000907152505 to seven decimal places.
-0.0000091
Round -0.8904277739 to 3 decimal places.
-0.89
What is -795.768409 rounded to 0 decimal places?
-796
What is 0.064032895 rounded to four dps?
0.064
Round 56876.5311 to the nearest ten thousand.
60000
What is -166205.0767 rounded to the nearest one thousand?
-166000
Round 9.60861941 to three dps.
9.609
Round 0.065925488 to 6 dps.
0.065925
Round -30.58551341 to three dps.
-30.586
Round 8805.55624 to the nearest 1000.
9000
What is 0.363167874 rounded to four decimal places?
0.3632
Round -0.00107006934 to 7 decimal places.
-0.0010701
What is 104280792600 rounded to the nearest one million?
104281000000
Round 1.32598026 to two dps.
1.33
What is 0.03315034367 rounded to 6 decimal places?
0.03315
What is 31.30054056 rounded to two dps?
31.3
Round 361528.85 to the nearest one hundred thousand.
400000
What is -1375945.583 rounded to the nearest 10000?
-1380000
What is 237872.692 rounded to the nearest one hundred?
237900
What is 15372519.871 rounded to the nearest 1000?
15373000
What is -0.0000157054503 rounded to seven decimal places?
-0.0000157
What is 9288736.6 rounded to the nearest one hundred thousand?
9300000
What is 17734.7382 rounded to the nearest integer?
17735
Round 7841.8526 to the nearest 1000.
8000
What is -0.0000881561617 rounded to six dps?
-0.000088
What is 0.0001668194283 rounded to five dps?
0.00017
What is 6.6692405 rounded to 1 decimal place?
6.7
Round 10.67546859 to 2 dps.
10.68
What is -12623.4687 rounded to the nearest one thousand?
-13000
Round 0.0000150247169 to five dps.
0.00002
Round -13590716.5 to the nearest one hundred thousand.
-13600000
Round 0.00000788895544 to six dps.
0.000008
What is -2.71985965 rounded to 4 decimal places?
-2.7199
Round -139.70467801 to 2 decimal places.
-139.7
Round 0.0000107467882 to 7 decimal places.
0.0000107
What is 682505014 rounded to the nearest 100000?
682500000
Round 0.000000975335389 to 7 decimal places.
0.000001
Round 679607.986 to the nearest 1000.
680000
What is 0.000947536102 rounded to 6 decimal places?
0.000948
What is 111213.002 rounded to the nearest 10?
111210
Round -2220.00991 to the nearest one thousand.
-2000
What is 1722.118999 rounded to the nearest integer?
1722
What is 27.309129 rounded to the nearest integer?
27
What is 0.0006669176681 rounded to 5 decimal places?
0.00067
What is -795016.22 rounded to the nearest 100000?
-800000
Round 0.1017148271 to 5 dps.
0.10171
Round 1622.7326 to the nearest 1000.
2000
What is -25752891.79 rounded to the nearest one hundred thousand?
-25800000
What is -4197111.36 rounded to the nearest 1000?
-4197000
What is -1.565217 rounded to 2 dps?
-1.57
Round -0.00876419937 to 6 decimal places.
-0.008764
What is 0.495730014 rounded to three decimal places?
0.496
Round -0.0000002606115 to 7 dps.
-0.0000003
What is 12338.329991 rounded to the nearest 1000?
12000
Round -0.004173644 to 5 dps.
-0.00417
Round -0.000325489028 to five decimal places.
-0.00033
Round 75560955.08 to the nearest 100000.
75600000
What is -0.27795285 rounded to 4 decimal places?
-0.278
Round 69.815988 to 1 decimal place.
69.8
Round -0.001964379928 to five dps.
-0.00196
What is -0.004297681547 rounded to 7 decimal places?
-0.0042977
What is -28740335 rounded to the nearest 10000?
-28740000
Round -0.0000064013443 to 6 decimal places.
-0.000006
What is 0.000127730481 rounded to seven decimal places?
0.0001277
Round 21.17575303 to three dps.
21.176
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
ommon multiple of 20 and (6 - 11) + 4 - -17*3?
100
Let u(s) = -s**3 - 3*s**2 + 3*s + 5. Let j be u(-4). Find the common denominator of (17/12)/(1/j) and -31/10.
20
Let j = 6 + -4. What is the common denominator of ((-36)/22 - -1)*-1 and 4 - (-235)/(-10) - j?
22
Let z = 21651 + -476231/22. Find the common denominator of 7*((-33)/12 + 3) and z.
44
Let g = 6550 - 65409/10. Let z be (-2 - -1)*(-25)/93. Let m = z + -833/62. Find the common denominator of g and m.
30
What is the common denominator of -31/4 and 2 + 2 + (-75)/(-4)?
4
Calculate the lowest common multiple of 0 + 4 + (-2)/2 and (44/(-10) + 4)*-10.
12
Suppose 4*j - 16 = -0*j. What is the least common multiple of j and 3 + 18/(-3) + (-15)/(-3)?
4
Suppose -5*o = -13 - 27. What is the smallest common multiple of 22 and o?
88
Suppose 0 = 4*v - 2*y - y - 21, 3*v - y - 12 = 0. Let j(g) = g**3 - g**2 - g - 4. Calculate the least common multiple of j(v) and 1.
11
Let d(x) = x**2 - x - 1. Let r be d(1). Calculate the common denominator of 4/(-14) - r/7 and -2/11.
77
What is the common denominator of (-1338)/216 + 4/(-18) and 1/38?
228
Suppose 5*l = l + 4. Let v be (-1)/(l + (-7)/8). Calculate the lowest common multiple of 18 and 5/(-20) + (-130)/v.
144
Let p = 5 - 5. Suppose b + 4*a = 7 + 29, a + 2 = p. Suppose 0 = 5*g + m - 27 - 12, -4*m = 4*g - b. What is the lowest common multiple of 9 and g?
63
Suppose 2*c = 3*x + 365, c + 2*x - 90 = 96. Suppose -4*f + 0*z = -4*z - c, 4*f + z - 159 = 0. Let p = -29 + f. What is the least common multiple of 20 and p?
60
Suppose -5*g = -4*g - 230. Calculate the common denominator of g/21 - (-4)/(-14) and 44/9.
9
Let f = 1189/3 - 805/2. Calculate the common denominator of -81/2 and f.
6
Suppose 2*n = -5*n - 35. Find the common denominator of n and 13/3.
3
Let r = 1446 + -5685/4. Calculate the common denominator of r and -111/20.
20
Let a(l) = l**3 + 5*l**2 + 3. Let b be a(-5). Suppose 2*y + b*y = 40. What is the lowest common multiple of y and 1?
8
Calculate the common denominator of (-1)/2 + (-12)/1 and (202/(-3))/(-2)*23/(-92).
12
Suppose 2*l + 9 = 53. Let p(u) = u**3 + 6*u**2 + 7*u + 4. Calculate the least common multiple of l and p(-4).
88
Let c be (-21)/(-28) + 138/2. Let q = -68 + c. Calculate the common denominator of q and 91/22.
44
Find the common denominator of 10/(-5) + (-86)/10 and -56/11.
55
Let r = -83 - -48. Find the common denominator of (3/4 - -1)*-2 and (-37)/(-14) + 10/r.
14
Let p = -10 + 7. Calculate the lowest common multiple of 2/p - (-476)/21 and 6.
66
Find the common denominator of (1 - 0) + (-483)/54 and -11/14.
126
Suppose -91 = -5*g + 9. Calculate the lowest common multiple of g and 12.
60
Suppose -4*u + u + 41 = -o, 4*o - u + 153 = 0. Find the common denominator of 1 + o/(-48)*14 and (-5)/(-15) - (-322)/132.
132
Let m = -3/439 + 4877/7024. Calculate the common denominator of m and ((-762)/28)/3 - -1.
112
Let w = 5113 - 56190/11. Find the common denominator of w and 37/6.
66
Suppose -2*f - 2 = -s, -s - 5*f = -2*f - 22. What is the least common multiple of 10 and s?
10
Let p be (-1)/(-2 - (-25)/13). Suppose -2*m + 0 = -5*d + 9, -d + p = m. Suppose k - 12 = -4. Calculate the lowest common multiple of k and m.
8
Let b = -132 + 404/3. Find the common denominator of b and 97/24.
24
Let s = -589/42 - -90/7. What is the common denominator of s and (3/30)/((-4)/10)?
12
Let u be 1/(-83)*(3 + -6). Let y = -2911/166 + u. Let w = 5814/5 - 1170. Find the common denominator of w and y.
10
Suppose 37 = 5*y - 23. What is the smallest common multiple of y and 6?
12
Suppose -7 = -3*p - 2*o, o = -p - 0*p + 2. What is the smallest common multiple of p and 9?
9
Let o = 17 - 9. Let x(u) = u**2 + 2. What is the lowest common multiple of x(0) and o?
8
Suppose -2*k + 9 = -k. Suppose 2*s - 5*g - k - 22 = 0, -2*g = 3*s - 18. What is the smallest common multiple of s and 10?
40
Let j = -23 - -32. Let z be 6/j - (-64)/(-6). Find the common denominator of z/15 + (-286)/(-36) and 13/20.
180
Calculate the lowest common multiple of (-3)/((-2)/90*3) and 10.
90
Let k be 4/(-20) - 637/(-10). Let z = 313/4 - k. What is the common denominator of z and 21/10?
20
Suppose -4*p = -0*p. Let a be -2 + p + 3 - 0. Suppose a = -2*z + 5. What is the smallest common multiple of 2 and z?
2
What is the common denominator of 62/(-4)*(-2)/(-4) and (-12)/(-120)*(-146)/4?
20
Let n = 2135 - 42669/20. Find the common denominator of n and (106/2)/((-70)/5).
140
Calculate the lowest common multiple of 296/56 - (-2)/(-7) and 5.
5
Let b = 2099/24 + -545/6. Calculate the common denominator of b and 71/8.
8
What is the smallest common multiple of 8*(-2)/(-2 + -2) and 30?
60
Let f = 12 - 6. Calculate the least common multiple of 21 and f.
42
Let a = -24 - -15. Find the common denominator of (-12)/6 + (-7)/a and (19*2/(-20))/1.
90
Let k = -446151/539 + 19055/22. Let h = 44/49 - k. What is the common denominator of h and -1/20?
20
Let r be 9/(-1)*66/9. What is the common denominator of -17/8 and 273/(-28)*(-20)/r?
88
Let t(r) = 3*r**2 - r. Let z(o) = -o**3 - 2*o**2 + o. Let x be z(1). What is the least common multiple of t(x) and 14?
14
Let h = 10015/9 - 1106. What is the common denominator of h and (-8)/16*59*-1 + 2?
18
Find the common denominator of 142/(-36) + (6/27 - 0) and 121/12.
36
Let w = 51 - 42. Calculate the least common multiple of w and 1 - 1/((-2)/12).
63
Suppose 0 = 4*z - 2*g - 44 - 38, 3*z = -5*g + 29. Let s(k) = -k**2 + k + 6. What is the least common multiple of s(0) and z?
18
Suppose 9 + 16 = 4*o - a, -3*o - 4*a + 14 = 0. Suppose 4*g - 60 = -g. Calculate the smallest common multiple of o and g.
12
Let n = 161 + -53. Suppose -w + 4*w - 3*q = -n, 5*w + 5*q + 230 = 0. Calculate the common denominator of 12/5 and 2 - 1/2*w.
10
Let o = -56 - 11866. Let n = o - -8152. Let q = n - -41442/11. Find the common denominator of q and -97/8.
88
Let t = 6/35 - 89/315. Calculate the common denominator of -71/39 and t.
117
Suppose 4*n = 3*z - 22, n + 13 = 4*z - 2*z. Let d(g) = 3*g**3 - g. What is the smallest common multiple of z and d(1)?
6
Let a = -7 - -2. Let w(q) = -q + 2. Let x be w(a). Calculate the smallest common multiple of 8 and (-1 + x)/(-1)*-1.
24
Let x = -522 + 16739/32. What is the common denominator of x and 65/8?
32
Suppose 2*x = 4*x - 16. What is the least common multiple of x and 3?
24
What is the least common multiple of 429/24 + (-2)/(-16) and 9?
18
Let m = -583 - -1730/3. Calculate the common denominator of m and (-5)/(-4)*-10*-3.
6
Let f = -4048 - -16113/4. What is the common denominator of f and -47/6?
12
Let g be 3 + 3*(-6)/9. What is the common denominator of 4*g*(-156)/(-352) and (-68)/6*(-15)/(-28)?
154
Let y(l) = l**3 + 4*l**2 + 3. Calculate the least common multiple of y(-3) and 2/(-7) + (-754)/(-91).
24
Let h = -10621/1908 - -7/636. Find the common denominator of h and 143/6.
18
Suppose 5*a - 3*d - 27 = 0, -d + 6*d + 17 = -a. Suppose 0 = a*s - 3*t + 135, -3*s - 2*t = t + 111. Find the common denominator of 21/4 and s.
4
Let h = 298/15 + -1837/60. Suppose -3*p + 4*x + 22857 = 2*p, -2*p + 9144 = -x. Let k = 36525/8 - p. Find the common denominator of k and h.
8
Let x be 1581/(-630)*-1 - 2. Let z = x - -4/21. Find the common denominator of z and -35/2.
10
Let x be ((-1402)/(-5))/((-9)/(-360)). Let w be -6591*17*(-2)/(-20). Let m = w + x. Calculate the common denominator of m and 77/10.
10
Suppose 0*h + 4*h - 232 = 0. Suppose 3*i - 3*t - 2*t = h, -46 = -3*i - t. What is the least common multiple of 8 and i?
16
Suppose -3*b - 2*b = 112660. Let m be (-1)/2 + b/(-280). Let h = m + -648/7. What is the common denominator of h and 13/2?
10
What is the common denominator of 47/(-16) + 1/1 and ((-1)/3)/((-196)/(-3738))?
112
What is the common denominator of -1 + 38/18 + 8/(-36) and 32/13?
117
Let r be 12/2*(-65)/10. Calculate the smallest common multiple of 20 and r/(-2) + (-2)/(-4).
20
Let l(w) = w**3 + 6*w**2 - 3*w - 5. Let d(a) = -a**2 + a + 1. Let q(h) = -3*d(h) - l(h). Calculate the least common multiple of 14 and q(-3).
14
Suppose -5*b - p + 88 = 0, 3*b - 4*p = 7*b - 64. Let k = b + -13. Suppose 0 = -k*x + 10 + 5, -x - 67 = -5*u. What is the least common multiple of 20 and u?
140
Let y = 8 + 10. Let o = y + 2. What is the smallest common multiple of o and (-2)/5 - (-44)/
|
{
"pile_set_name": "DM Mathematics"
}
|
ve.
q**(7483/45)
Simplify (((c**1/c)/c)**(-1/5))**(-2/179)*(c*c**(-4)*c)/c*c*c**(-1/2)*c**(-2)*c*(c/(c*c**(2/3))*c)/c*c assuming c is positive.
c**(-17017/5370)
Simplify ((d**(-1))**29*((d/(d/(d/(d**(-1)*d))))/d)**(-3/16))/(d**(-7)*d*(d/((d**(2/13)*d)/d))/d*d/((d/(d/d**2))/d)*d**(-3/7)/d) assuming d is positive.
d**(-1949/91)
Simplify ((h**6*(h/h**(-5))/h)/(h*h/((h/h**(2/3))/h))**(-19))/(h**(-6/7)/(h/(((h*h**2*h)/h)/h)))**(-11) assuming h is positive.
h**(1328/21)
Simplify ((u**3)**42)**(-34)/((u/(u*u/(u**(-2/15)/u))*u)**30)**20 assuming u is positive.
u**(-3604)
Simplify ((n**0)**13)**(-5/7)/((n/n**(2/13)*n**(2/3))/((n/((n**3*n)/n))/(n/n**(-6)))) assuming n is positive.
n**(-410/39)
Simplify (o**(1/3)/o*o)/(o/(o*o**5))*((o/(o/o**(-1/7)))/o)/o*o**4*((o*o**0)**(-34))**1 assuming o is positive.
o**(-563/21)
Simplify ((((o**(1/8)/o)/o*o*o*o/(o/(o/o**(7/4))))/(o**0*o)**(-21))**(-38))**44 assuming o is positive.
o**(-34067)
Simplify (((p*p*p**(-12)*p*p*p/p**(1/23))**(-1/10))**(2/117))**27 assuming p is positive.
p**(486/1495)
Simplify (((q*q**(-7)*q)/q)**32/((q**10*q)/q**(-9)))**25 assuming q is positive.
q**(-5300)
Simplify ((y*y*y*y*y**2)**(-1/14)*(y**(7/2)*y)/(y**(-3/5)*y))**(-29) assuming y is positive.
y**(-7453/70)
Simplify ((x**(2/7)*x*x/x**(-18))/(((x**(-7)*x)/x*x)/x*x*x**(-2/7)))**(-13) assuming x is positive.
x**(-2418/7)
Simplify ((n*n*n*n*n**(1/3)*n*n**(-1/22)*(n*n/(n**(-6)/n))/(n*n**(1/3)*n))**(-2/39))**(-9) assuming n is positive.
n**(789/143)
Simplify (((a*a*a**(-37)*a)/(a*a/((a*a**(15/4)*a*a)/a)))/((a**27*a*a)/(a**(-4/11)*a)))**(-29) assuming a is positive.
a**(74791/44)
Simplify ((c**(1/4)*c**11*c)/(c*c**(-1/2))**(-2/7))**(-14/9) assuming c is positive.
c**(-347/18)
Simplify ((i**(-2/7))**(-9/4))**(3/17)/(i**(-1)*((i**0/i)/i)/i*(i/(i**1*i))**(1/26)) assuming i is positive.
i**(6423/1547)
Simplify ((k**(-17)/k)/(k*k**(-1/33)*k)*k**(-5)/(k/(k**(9/7)/k)*k))**(1/7) assuming k is positive.
k**(-6164/1617)
Simplify ((t**(1/53)/(t*t**17))/(t*(t*t*t**(-3/22)*t*t)/t*t*t**(-29)/t*t*t))**(-19) assuming t is positive.
t**(-114209/1166)
Simplify ((g**(-6)*g/g**23)/(g*g/(g*(g**18/g)/g*g*g)*g/(g/(g**16/g))))**(-24) assuming g is positive.
g**624
Simplify (h*h/h**(-2/17)*h/h**(-1))**(-31)*(h**(1/6)*h)/h**1*h**0/h*h*h**(4/5)/h assuming h is positive.
h**(-65117/510)
Simplify (((q**(-1)*q*q**(2/5)/q)/(q**7*q**(2/5)*q))**(-5/3))**(-2/9) assuming q is positive.
q**(-10/3)
Simplify ((j*j**(1/6))**0*(j**(-11)/j)**(-2/7))**(-6/5) assuming j is positive.
j**(-144/35)
Simplify ((((v*v*v*v**(2/5)/v*v)/v)/v)/v**5)/(v**0)**(-2/5)*(v*(v*v/v**(-2/5))/v*(v/(v/v**0))/v*v)**(7/6) assuming v is positive.
v**(-4/5)
Simplify (((q**11/q)/q*q)/((q/q**(-2))/q)*((q**(-1/10)*q*q*q)/q)/q**(2/29))**(11/5) assuming q is positive.
q**(31361/1450)
Simplify (d**(2/3)*d)**13*(d/d**8)/d*d**1*(d*d*d**(2/5))/d**(-2/3)*(d/d**9)/((d**(-3)*d*d*d)/d) assuming d is positive.
d**(161/15)
Simplify (a**(-1/8)/(a*a*a**(-1/11))*(a*a**(-1/4))**(3/5))**45 assuming a is positive.
a**(-6273/88)
Simplify (d*d/(d*d**(-1)))**10/(d/(d/d**(-3/2)*d)*(d/d**(-5)*d*d)/d)*((d*d**(2/7))**24)**(-48) assuming d is positive.
d**(-20519/14)
Simplify ((y**1*y)**(2/75)/(y/y**(-8)*y**5))/((y*y*y**(-1/2))**(-18)*(y*y*y/(y/(y/y**(-6)))*y)/y*y**(-3)/y*y) assuming y is positive.
y**(529/75)
Simplify ((x*x**(-2))**50*(x*(x/(x/(x*x**9)))/x)/((x**(-9)*x)/x))**(10/3) assuming x is positive.
x**(-310/3)
Simplify ((j/(j/(j/(j*j*(j**(-6/11)/j)/j*j))))/j)**(10/9)*(j/(j**(-17)*j))**(-36) assuming j is positive.
j**(-60638/99)
Simplify ((z*z/(z*(z/z**1)/z)*z)**(4/11))**43/((z*z*(z*z**(-1))/z)**26)**(2/99) assuming z is positive.
z**(4592/99)
Simplify (k**(-1/4)*k)/k*k/(k**(-6)/k)*(k/(k/(k*k**(-2/3)/k))*k)**(-1/6)*(k*k*k/(k/(k**(1/6)*k)*k))/(k/(k/(k*k**(1/7))))*(k**0)**(2/17) assuming k is positive.
k**(2197/252)
Simplify (f*f**5*f*f**(-3))**(1/13)/(f**(-2)*f*f/f**(-4))**(-37) assuming f is positive.
f**(1928/13)
Simplify ((x**(-3/20)/x)/x**(1/9)*(x*x/(x*x**(-25)*x*x)*x*x)**(-2/41))**23 assuming x is positive.
x**(-429341/7380)
Simplify (((w**(5/6)/w)/w)**(-2/45)*(w**(-3/7)/w)**(-4/11))**(-42) assuming w is positive.
w**(-11878/495)
Simplify (a/(a**(-2/43)*a))/a**(8/7)*(a/(a/((a**(-3)/a)/a)*a))/(a**(2/65)*a*a*a*a) assuming a is positive.
a**(-217702/19565)
Simplify (c*c/(c/((c*c/c**(-13))/c))*c*(c**16/c)/c*c**(-2/7)*c**(2/7))**(-25/3) assuming c is positive.
c**(-250)
Simplify ((b*b*b**(1/3)*b)**(-1/14)*(b/b**(-1))**(-37))/(b/(b/b**(-1/7))*b**3)**31 assuming b is positive.
b**(-3419/21)
Simplify ((l**(1/8)/l)/((l*l*l**(-2/7)*l)/l))/(l**(-2/5))**(-4/3)*(l**(-2))**50*(l/l**(1/3))**16 assuming l is positive.
l**(-77663/840)
Simplify ((t/(t*t**(-4/3)))/(t*t*t*(t/t**5)/t)*(t*t**(4/9))/t**18)**(-25) assuming t is positive.
t**(2975/9)
Simplify ((v/(v/(v*v*v**6)))/(v**(-2)/v)*((v/v**(2/3))/v)/v*v**(-5/6)/v)/((v/v**1)**16/(v*v**2)**(-15)) assuming v is positive.
v**(-75/2)
Simplify ((h*h/((h/h**(-1))/h))**(2/39))**35/((h/(h/((h*h*h**(-1)*h*h)/h)))**(15/2)*(h*h**(2/11)*h)/(h*h**(1/4))) assuming h is positive.
h**(-24259/1716)
Simplify (h**(-4/3)/h*h**(5/6)/h)**(-3/16)/((h/(h**0*h))**(-2/3)*(((h**(-6/7)/h)/h)/h)/(h**(-1/4)/h)) assuming h is positive.
h**(689/224)
Simplify (((s**(6/19)*s)/s)**43/((s*s**(-29))/(s*s/(s/(((s/(((s/(s*s**11/s))/s)/s)*s)/s)/s))*s)))**(3/4) assuming s is positive.
s**(792/19)
Simplify ((q**(-5)*q*q)**(-1/3)*(q**(-18))**(-7/4))**(1/18) assuming q is positive.
q**(65/36)
Simplify (i*(((i**15*i*i*i)/i)/i*i*i)/i*i)/(i*i**32)*(i**(-6/25))**(1/12) assuming i is positive.
i**(-701/50)
Simplify ((o*((o/(o/o**9*o))/o)/o*o)/(o/(((o*(o/(o*o**(2/9)/o))/o)/o)/o)))**(1/3)/(o**(1/4)*o**(-2/5))**(-30) assuming o is positive.
o**(-139/54)
Simplify (w/w**(-5/3)*w*w*(w*w**(1/4))/w)/(w*w/(w/w**(2/5))*(w*w*w**(2/3))/w)*(((w**(-7/4)*w)/w)/(w*w/w**0))**(6/7) assuming w is positive.
w**(-191/140)
Simplify (q**(-1/11)/((q/(q**14/q))/q))/(q/(q/(q/(q/((((q*q/(q*q*((q/((q*q/((q/(q/q**30))/q)*q)/q))/q)/q))/q)/q*q*q)/q)*q*q))))**0 assuming q is positive.
q**(142/11)
Simplify (a*a*a**(-1)*a*a*a)**(-1)/(a*a*a**5/a*a**(4/5))*(((a*a**(-8)*a)/a)/a**(-3))/(a*a**(-2/15)*a*a*a**4/a) assuming a is positive.
a**(-62/3)
Simplify (b*b*b**(-29)*b*b**12/b)/(b/(((b/b**(1/19))/b)/b*b*b)*b*b**25) assuming b is positive.
b**(-780/19)
Simplify (((y*(y*y**13*y)/y*y/(y/y**(-12)))/((y*y/(y*y**(-7))*y)/y**(-5)))**41)**(-12/13) assuming y is positive.
y**(5412/13)
Simplify (c**(-1/13)*c/c**(2/7)*(c/(c**(2/3)*c))**38)/((c*c**(2/15))**28)**45 assuming c is positive.
c**(-396586/273)
Simplify ((d**(4/5)*d)/(d*d*d**4)*(d**0*d)**(-35/4))/((d**(2/3))**(-8/11)*(d**1)**(27/7)) assuming d is positive.
d**(-75409/4620)
Simplify ((b/(b*b**0/b*b*b))**3)**17*(b**(-2/5))**(-33)*((b/b**(1/2))/b)**(-39) assuming b is positive.
b**(-183/10)
Simplify ((t/(t/(t*t**(-2/37)))*t*t*t/t**(-1))/(t**(-8/7)*t*(t/(t**(-9)*t)*t)/t))**12 assuming t is positive.
t**(-12156/259)
Simplify ((c**(1/5))**(-39))**(5/2)*(c**(-1/5)/c**(-1/8))**(-13/4) assuming c is positive.
c**(-3081/160)
Simplify ((u/(u*u/(u/(u**(2/37)/u))*u))/(u/(u*u/u**(-1/10))))**(32/3)/((u/(u**(-2/15)/u))/(u**(2/11)*u))**5 assuming u is positive.
u**(39067/6105)
Simplify ((j**(-3/5)/j**4)/(j/j**(-14)*j**0))**(2/25) assuming j is positive.
j**(-196/125)
Simplify ((m**(4/7)*m)/m**(-3/5)*m/((m*m**(2/33))/m*m)*m**18)**(-3) assuming m is positive.
m**(-23228/385)
Simplify (g**5*g**3)/(g**(-4)*g*g/(g*g/g**(-1)*g))*g**1/((g**(1/4)/g)/g)*g/g**2*g**(3/2) assuming g is positive.
g**(69/4)
Simplify ((o**0)**(-3/14)*(o**1)**(-2/3))/((o**(-1))**(-1/30)*(o**(-2/9)/o)/(o/(o*o/(o/(o/o**(-2/11)))*o))) assuming o is positive.
o**(-1643/990)
Simplify ((o**(3/2))**(-13))**(-2/19)/((o**(3/5)/(o**(-5)*o))/(o**(3/2)/(o*o**5*o))) assuming o is positive.
o**(-1529/190)
Simplify ((i*i**2/i*i)**(-2/89))**(-2/11)/((i**(-5)/(i/(i*i*i*i**7/i*i)))/(((i/(i/(i/i**1)))/i)/(((((i/i**0*i)/i)/i)/i)/i))) assuming i is positive.
i**(-2925/979)
Simplify ((k/(k/k**(-2/5))*k*k)/k*k*k*((k/((((k**(-14)*k)/k)/k)/k))/k*k)/k*k**(-11/3)/k*k*k**(2/41)*k*k)**(-33) assuming k is positive.
k**(-114884/205)
Simplify (((i*i/(i*i**(1/15)*i)*i**3)/(i**(-3)/(i**(8/7)/i)))**(-7/4))**19 assuming i is positive.
i**(-6061/30)
Simplify (((y/(y*y**0/y*y*y)*y)/y**0*((y*y*y**(-2/3))/y*y)**
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 + j*w**2 + 105854*j*w - 8511*w**3 wrt w.
-14568*j**3 + 30*j - 51066
Find the second derivative of -5333195*h**2 - 8722843*h wrt h.
-10666390
What is the first derivative of -22933715*g - 44906490 wrt g?
-22933715
Differentiate 467026076*x + 105534233.
467026076
Find the second derivative of -2*v**2*z**3 + 18433139*v**2*z - 26*v*z**3 + 113*v*z**2 - 6*v*z - 25*z**3 wrt v.
-4*z**3 + 36866278*z
What is the second derivative of 598746609*n**2 - 155038722*n?
1197493218
What is the first derivative of 2*t*z + 122442737*t - 2055631*z**3 + 9*z**2 wrt z?
2*t - 6166893*z**2 + 18*z
Find the first derivative of 161678743*v**2*x + 145367701*v**2 wrt x.
161678743*v**2
Differentiate 4*p**3 + 25*p**2 + 13587*p - 23598641 with respect to p.
12*p**2 + 50*p + 13587
What is the second derivative of -23314*l**3*u - 8*l**2*u**3 - 828*l*u**2 + 17*u**3 + 3*u**2 wrt l?
-139884*l*u - 16*u**3
What is the first derivative of -3*d**2*w**2 + 26877299*d**2*w + 47238912*d**2 wrt w?
-6*d**2*w + 26877299*d**2
What is the first derivative of 115026*o**2 + 109*o + 147103715 wrt o?
230052*o + 109
Find the second derivative of 19861000*s**3 - 66*s + 117746 wrt s.
119166000*s
Find the first derivative of -15704555*u**3 - 4*u - 826131859.
-47113665*u**2 - 4
What is the third derivative of -8027098*q**4 + 124908*q**2 + 11?
-192650352*q
What is the derivative of 140542561*d + 120154955?
140542561
What is the second derivative of b**2*n**2 + 7*b**2*n - 1085733*b**2 + 44211748*b*n**2 wrt b?
2*n**2 + 14*n - 2171466
What is the third derivative of -44781890*w**3 + 64925504*w**2 wrt w?
-268691340
Find the first derivative of -153688*y**2 - 7*y - 15910517.
-307376*y - 7
Find the third derivative of 85285626*t**5 - 110111124*t**2.
5117137560*t**2
What is the derivative of -285398017*g**4 + 162576079?
-1141592068*g**3
Find the first derivative of -49288085*d*y**2 + 1273210*y**2 - 21*y wrt d.
-49288085*y**2
Find the third derivative of -43057104*d**2*x**3 - d**2 - 2*x**2 + 57989*x - 7 wrt x.
-258342624*d**2
Differentiate 37218*b*h**2*r - 3*b*r - b - 7*h**3 - 11*h**2*r + 436633*r + 53 with respect to h.
74436*b*h*r - 21*h**2 - 22*h*r
Find the third derivative of 11*j*u**4 + 423*j*u**3 + 116948773*j*u**2 - 2*u**4 - 561*u**3 wrt u.
264*j*u + 2538*j - 48*u - 3366
Find the first derivative of -41*d*f*g - 2*d*f*v + 2*d*f - d*g - 38*f*g*v - 1891*f*g + 11*f*v + 2*f - 13*g*v + 3 wrt v.
-2*d*f - 38*f*g + 11*f - 13*g
What is the second derivative of -17*k**5 - 115564*k**4 - 21295*k + 312 wrt k?
-340*k**3 - 1386768*k**2
Find the first derivative of 18*c**3*q*y - 616*c**3 + 12113048*c**2*q*y + 17920*c**2*y - c**2 + 3*c*y + 2 wrt q.
18*c**3*y + 12113048*c**2*y
What is the second derivative of -6893845*p**4 + 3802*p + 1355 wrt p?
-82726140*p**2
Differentiate -3*j*x**2 - 43*j*x + 3*j - 96*x**2 - 31*x - 5042819 with respect to x.
-6*j*x - 43*j - 192*x - 31
What is the second derivative of 22*c**3*k + 2*c**3 - 2*c**2*k**3 + 169*c**2 + c*k**3 - 1197900*c wrt c?
132*c*k + 12*c - 4*k**3 + 338
Find the second derivative of -438448157*f**5 - 117981465*f.
-8768963140*f**3
What is the third derivative of 9*u**6 - 451066*u**4 + 6*u**2 + 31*u + 38247 wrt u?
1080*u**3 - 10825584*u
Find the third derivative of -6*s**2*t*y**3 + 161*s**2*t*y + 54*s*t*y**3 + 10*s*t*y**2 - 2*s*y**2 + 17583*t*y**2 + 407749*y**3 wrt y.
-36*s**2*t + 324*s*t + 2446494
What is the second derivative of -2881*b*w*z**2 + 2*b*w*z - 473*b*w - 69*b*z - 84796*w*z**2 - w - 33*z - 2 wrt z?
-5762*b*w - 169592*w
What is the third derivative of 35*a**5 + 55358*a**4*t + 837466*a**2*t + 16*a**2 wrt a?
2100*a**2 + 1328592*a*t
What is the first derivative of 28*l**4 - 3*l**3 + 4955*l - 197864573 wrt l?
112*l**3 - 9*l**2 + 4955
What is the second derivative of -12*f**2*h*i**2*p**2 - 121266*f**2*h*i*p - 2*f*i**2*p + 5*f*i*p + h*i**2*p**2 + 38036*h*p - 11*p**2 wrt f?
-24*h*i**2*p**2 - 242532*h*i*p
What is the third derivative of 30*g**2*z**3 - 46*g**2 - 2*g*z**2 + 3133585*g - 1835210*z**3 wrt z?
180*g**2 - 11011260
What is the second derivative of 12869288*w**3 - 146970*w + 17 wrt w?
77215728*w
Find the second derivative of -49570228*d**3 + 69541322*d wrt d.
-297421368*d
Find the third derivative of 17263336*j*w**4 + j*w**3 - 8280*j*w**2 + j*w + 200*j + w**4 + w**3 - 2 wrt w.
414320064*j*w + 6*j + 24*w + 6
What is the first derivative of b**4 + 10055*b**2 - 12*b - 7692681?
4*b**3 + 20110*b - 12
What is the derivative of 53387987*x - 36657298 wrt x?
53387987
Find the second derivative of 196505367*u**2 - 141567662*u wrt u.
393010734
What is the derivative of 3*j*s + 298381*j - 2*s**2 + 230615*s - 36 wrt s?
3*j - 4*s + 230615
What is the third derivative of -103823*d**3*l**3 - 7*d**3*l**2 - 3*d**3*l + 1374125*d**2*l + d*l**3 + l wrt d?
-622938*l**3 - 42*l**2 - 18*l
Find the third derivative of 108471769*b**3*n**3*r + 3*b**3*n**2*r + 454390*b**2*n**2 - b*r + 2*b + n**2 wrt n.
650830614*b**3*r
Differentiate 9506844*d + 5185490 with respect to d.
9506844
What is the second derivative of -10205793*d**2*n**2 + 9*d**2*n - 8*d**2 - d*n**2 + 363*d - 3*n wrt n?
-20411586*d**2 - 2*d
What is the first derivative of -131100086*g**2 - 367127779?
-262200172*g
What is the derivative of 118436092*r - 17945075 wrt r?
118436092
Find the second derivative of -13*q**3*z**3 - 172435*q**3*z**2 + 6*q*z**3 + 42*q*z + 42*z wrt q.
-78*q*z**3 - 1034610*q*z**2
Find the third derivative of -151429676*g**3*v**3 - 911*g**2*v**3 + 106225*v**3 wrt g.
-908578056*v**3
What is the second derivative of 45347*m**2*q**2 + 83381*m**2*q - 7*m*q**4 - 2*m*q - 9*q**3 wrt q?
90694*m**2 - 84*m*q**2 - 54*q
Find the first derivative of -24688*j**2*v**3 - 28*j*v**3 - j - 4982427*v**3 wrt j.
-49376*j*v**3 - 28*v**3 - 1
What is the derivative of -8054180*g**2*r + 2559*r - 152 wrt g?
-16108360*g*r
What is the third derivative of -135841580*s**3 + 13*s**2 - 248602?
-815049480
What is the derivative of -75927*z**2 - 236*z - 94860 wrt z?
-151854*z - 236
Find the third derivative of 5923766*i**6 - 27*i**2 - 2*i + 583.
710851920*i**3
Find the second derivative of 77*p**2*u**2 + 26*p**2*u + 60522*p*u**2 - 2*u**2 - 142828*u wrt u.
154*p**2 + 121044*p - 4
Differentiate -74937596*y - 31698788 with respect to y.
-74937596
What is the second derivative of -85*h**2*y**3 - 1119*h**2*y**2 + 12*h**2 - 106*h*y**3 - 148*y**3 + 12*y**2 + 2 wrt h?
-170*y**3 - 2238*y**2 + 24
What is the first derivative of -5335280*c**2 - 5*c - 3716187?
-10670560*c - 5
Find the first derivative of 134404*a*v*w + 16*a*v*z**2 - a*z**3 + 278*v*w*z**2 - 4*v*w + v*z + 3*w*z**3 - 13*w*z**2 + 2*w*z wrt a.
134404*v*w + 16*v*z**2 - z**3
What is the first derivative of -f**4 - 23658010*f**2 + 62552505 wrt f?
-4*f**3 - 47316020*f
What is the second derivative of -10303493*s**2 + 147276*s + 15 wrt s?
-20606986
Find the third derivative of 87215075*x**3 - 59227570*x**2 wrt x.
523290450
Find the second derivative of 95*h**2*r**3 + 2*h**2 + 2*h*r**2 - 2*h*r - 2*h - 544*r**3 + r**2 + 421*r + 13 wrt r.
570*h**2*r + 4*h - 3264*r + 2
Find the second derivative of -83572180*i**4 - 225915*i + 313 wrt i.
-1002866160*i**2
Find the second derivative of -60433681*g**2 - 36904033*g wrt g.
-120867362
What is the second derivative of 214737*o**4 + 25*o**3 - 12*o + 56632?
2576844*o**2 + 150*o
Find the first derivative of 205737*l**3 + 55*l - 65327290 wrt l.
617211*l**2 + 55
What is the second derivative of 4510074*j**2*k - j*k + 2734759*j - 2*k wrt j?
9020148*k
Differentiate 6272*h*i**4 - 749*h*i**2 + 3031279*h wrt i.
25088*h*i**3 - 1498*h*i
Find the second derivative of -5636022*l**2*w + 5790*l*w + 266*l wrt l.
-11272044*w
Find the second derivative of -24758601*o**3*u**2 - o**3*u - 341*o**3 + 11*o**2*u - 7*u wrt u.
-49517202*o**3
What is the third derivative of -30484397*q**4 + 27489305*q**2 wrt q?
-731625528*q
Differentiate 185*r**3*x**3 - 126804*r**3*x - 5*r**3 + 183*r**2 - 1465*r - 10 with respect to x.
555*r**3*x**2 - 126804*r**3
What is the derivative of 36679949*y**2 + 42820261?
73359898*y
Find the third derivative of -178978*n**6*r + 345*n**3*r**2*w - 3*n**2*r**2*w + 142*n**2*r**2 - 6*n**2*r*w + n**2 + 7*n*r**2 + 12*n*r*w + 9*r wrt n.
-21477360*n**3*r + 2070*r**2*w
What is the second derivative of -28764376*w**2 - 16096685*w wrt w?
-57528752
What is the second derivat
|
{
"pile_set_name": "DM Mathematics"
}
|
- 14 = 5. Let d = -5 + 8. Is (d - o) + 34 + 2 a multiple of 17?
False
Does 18 divide -1224*(2/6)/((-22)/33)?
True
Let m(d) be the third derivative of -d**4/24 - 2*d**3/3 + d**2. Let f be m(-2). Is 25/f*(-12)/15 a multiple of 3?
False
Let t be (-4)/8 + (-21)/(-6). Suppose -69 = -2*c - c + t*g, -3*g = 4*c - 57. Is c a multiple of 18?
True
Let g(s) = -65*s + 138. Is 6 a factor of g(2)?
False
Let s(k) = 15*k**2 + 3*k + 32. Does 59 divide s(6)?
True
Suppose -6 = -r - 2*r. Let c(m) = 16*m**2 + 2. Is c(r) a multiple of 33?
True
Is 34 a factor of ((-2)/1 + -66)*(23 - 25)?
True
Suppose 0 = c - 3*q + 8, q = c - 6 + 14. Let o = -415 + 285. Is 13 a factor of o/4*c/5?
True
Let k(c) = -c**3 - 15*c**2 - 2*c - 3. Let o be 1 + (2 - 5) - 13. Is k(o) a multiple of 25?
False
Let k(s) = -s**2 + 13*s + 9. Does 7 divide k(10)?
False
Let g(y) = -2*y**3 - 3*y**2 - y + 2. Let l be g(3). Let q = 146 + l. Is q a multiple of 32?
True
Suppose 4*d + 2*r - 8 = 0, -3*d - 4 = -8*d - r. Let s be ((-21)/(-4))/(6/48). Let l = d + s. Is l a multiple of 14?
True
Let u(b) = 129*b**2 - 1. Suppose 13*y - 1 = 12*y. Let g be u(y). Suppose g = 3*n - 7. Does 15 divide n?
True
Suppose -1115 = 98*n - 99*n. Suppose -18*s = -n - 1099. Is 21 a factor of s?
False
Let p(z) = 5*z**3 - 2*z**2 + z. Let l be (-18)/(-16) - 15/120. Let i be p(l). Suppose -i*j = 4*o - 2*j - 294, 0 = -5*o + 4*j + 348. Does 17 divide o?
False
Let d(s) be the third derivative of s**4/24 + s**3/3 + 5*s**2. Is d(12) a multiple of 14?
True
Suppose -3*t + 20 = 101. Suppose 4*x = 7*x - 99. Let p = x - t. Is p a multiple of 15?
True
Suppose 4*g - 7 = 4*k + 5, 2*k + 9 = 3*g. Suppose k = 5*v - 7*v + 78. Let x = -3 + v. Is x a multiple of 12?
True
Let i(g) = g + 4. Let j be i(-7). Let m be 3*j*(-1 - 0). Is m/(-12) + (-54)/(-8) even?
True
Let l(m) = 9*m - 2. Let q(n) = n**3 - 5*n**2 + 7*n - 7. Let c be q(4). Let x = c + -4. Is 3 a factor of l(x)?
False
Suppose -11*j = -6*j - 15. Is -4 + (j - 2/(-1)) + 54 a multiple of 6?
False
Suppose -4*r = -3*u + 3225, u = 2*u + 3*r - 1088. Is 94 a factor of u?
False
Let j(a) be the first derivative of 2*a**3/3 + 5*a**2/2 - 6*a - 11. Does 10 divide j(4)?
False
Suppose 3828 = -46*s + 52*s. Does 51 divide s?
False
Let y(q) = q + 36. Is y(10) a multiple of 46?
True
Let g = 89 + -49. Suppose -n + 29 = 4*b, 3*b + g = 2*n + 2*b. Suppose -n = -5*r + 2*r. Is 2 a factor of r?
False
Suppose -15*c = -23*c + 48. Suppose -3*n - 11 = -2, n = -2*f - 3. Let y = f + c. Is 6 a factor of y?
True
Suppose 3*w + 39 + 18 = -3*l, -4*w = -2*l + 58. Does 2 divide (w/20)/(((-4)/(-70))/(-1))?
True
Suppose 66*c = 67*c - 144. Is c a multiple of 4?
True
Let q = -1577 + 2490. Is 20 a factor of q?
False
Let w = 705 - 141. Is 21 a factor of w?
False
Let k = -20 - -15. Let f(v) = -21*v - 1. Let o(w) = 41*w + 2. Let d(s) = k*f(s) - 3*o(s). Does 6 divide d(-2)?
False
Let x = 25 + -11. Suppose 53 = 5*b + i, -3*b - 2*i - x = -5*b. Is b a multiple of 7?
False
Let s(r) = -21*r + 4. Let c(q) = q + 1. Let n(k) = -42*k - 4. Let z(t) = -10*c(t) - n(t). Let g(y) = -7*s(y) - 5*z(y). Is g(-6) a multiple of 20?
True
Let c = 201 - -231. Is 24 a factor of c?
True
Suppose -562 = 5*n + 163. Let h = -5 - n. Is h a multiple of 9?
False
Is 23 a factor of 18/(-30) - 10624/(-40)?
False
Suppose -3*h - 198 = -9*h. Is 24 a factor of h?
False
Let f = -571 + 1000. Does 39 divide f?
True
Suppose -2*i = -5*t + 2769, 4*i = -3*t - i + 1680. Suppose -t - 201 = -7*q. Is 18 a factor of q?
True
Let b(k) = 11*k - 1. Let n(i) = -i**2 + 3. Let z be n(0). Let x be b(z). Suppose -a - 5*r + x = 0, -a + r + 50 = 12. Does 7 divide a?
False
Let t(h) = h**2 - 5*h - 2. Let u be t(6). Is 22 a factor of ((-54)/(-24))/(-9) - (-753)/u?
False
Does 19 divide 15/(90/(-456))*(-2)/4?
True
Suppose 10 = x - 97. Let m = x + -55. Suppose 4*h + 0*h - 2*o - m = 0, -4*o = 3*h - 50. Does 7 divide h?
True
Does 53 divide (0 - 2/7) + 53790/105?
False
Let s(q) = -5*q**2 + 7*q - 7. Let c(m) = -m**2 + m. Let v(w) = 6*c(w) - 2*s(w). Is v(6) a multiple of 22?
True
Suppose -9*z + 15 = -6*z. Suppose -2*o = -0*o + 3*m, o = z*m + 26. Let d(t) = t**2 + 3*t. Is 27 a factor of d(o)?
True
Suppose d = -3*x + 43, -3*x = 2*d - 4*x - 100. Let l = d - 20. Is 4 a factor of l?
False
Suppose -7 = 5*k + 13, k = -g - 7. Does 28 divide (0 + g)/(-2*(-9)/(-1176))?
True
Suppose -j = -2*m - 0*m + 7, 5*j - 25 = -5*m. Suppose 0 = 4*g - 7 - j. Suppose 4*k - 252 = -5*v, 0*k = 2*v + g*k - 102. Is 24 a factor of v?
True
Let n be 16 + (-16)/4 + 1. Let h(a) = a**2 - 12*a - 9. Let s be h(n). Suppose -s*c + 379 = -49. Is c a multiple of 28?
False
Suppose -3*b + 5*x = 49, -b - 3*x + 32 = -3*b. Let z = b + 14. Is (3/z)/(33/187) a multiple of 6?
False
Let u(v) = -v**3 - 9*v**2 + 9*v - 5. Let s be u(-10). Suppose -41 = 3*b + s*q - 172, -25 = 5*q. Does 26 divide b?
True
Suppose 0 = 3*k - l + 893, 5*k + 4*l + 1503 = 26. Let b = 81 - k. Does 14 divide b?
True
Suppose -3*h = l - 2*h - 364, -2*l = 4*h - 734. Is 40 a factor of l?
False
Let i = -25 + 250. Let x = i - 131. Let a = x - 52. Does 21 divide a?
True
Let z(t) = 5*t**2 + 14*t - 1. Let r be (-2)/1 + -1 - 3*1. Is 14 a factor of z(r)?
False
Suppose n - 3*p = 23, -4*p = -n - n + 36. Is 5 a factor of (10/n)/(14/168)?
True
Let a(k) = 9*k**2 + 6*k + 9. Does 61 divide a(-7)?
False
Suppose -y = -4*u - 8, -3*y - 1 = 2*u - 11. Let p(j) = 15*j + 1 - 1 - 2*j + 2. Does 18 divide p(y)?
True
Let v(f) be the first derivative of -f**3/3 - 8*f**2 - 17*f + 2. Suppose 91 = -6*c + 7. Is 5 a factor of v(c)?
False
Let z(a) = -a**2 - 23*a + 8. Let g be z(-7). Let f = 0 + g. Suppose 13*y - f = 11*y. Does 10 divide y?
True
Is 23 a factor of ((-56)/20 - -2)*(-3250)/20?
False
Let o(x) = -x**3 + x**2 + x. Let t be o(2). Let q = 5 + t. Is 9 a factor of (-2 + q/1)*18?
True
Suppose -p + 3 = -12. Suppose -p*a - 4 = -11*a. Is 10 a factor of 0 - (a - 16) - -3?
True
Suppose -47*i + 45*i = -6. Is 224 + 1 - (i + -3) a multiple of 9?
True
Suppose 3*w - 782 - 3114 = 5*r, -4*r = 2*w - 2590. Does 71 divide w?
False
Suppose -16*i = -12*i. Suppose d - 22 - 50 = i. Does 10 divide d?
False
Suppose 4*b - 2723 = -5*z + 78, 5*b = -3*z + 3485. Is 19 a factor of b?
False
Suppose 5*y = -g + 72 + 6, 2*y = -6. Let q = g - 38. Does 11 divide q?
True
Let z = -171 + 1299. Is 7 a factor of z?
False
Suppose 0 = -5*v + 3*v - 410. Let x = v + 330. Is 25 a factor of x?
True
Suppose 0 = 4*l + 4*d - 3612, -4*l = 5*d - 1970 - 1637. Does 82 divide l?
False
Let o = -474 + 731. Is o a multiple of 19?
False
Let t = 185 + 269. Is 7 a factor of t?
False
Let y = 70 + 1452. Does 29 divide y?
False
Let v(x) = 0*x - 4 - 8*x + 2*x. Suppose 2*h + 8 = -r, -5*h - 5*r = -6 + 21. Is v(h) a multiple of 8?
False
Let q = -511 - -911. Is q a multiple of 20?
True
Suppose 0 = 3*h - 4*z + 6*z - 187, -2*h + 120 = -z. Let s = h - -128. Is 27 a factor of s?
True
Let s = -20 - -28. Suppose 3*y - s*y = -730. Let b = y + -78. Is 16 a factor of b?
False
Suppose 1259 = 3*r - y, 0*r - 1261 = -3*r - y. Does 10 divide r?
True
Let z = 2996 + -1794. Is 33 a factor of z?
False
Let y = 702 + -359. Is 2 a factor of y?
False
Suppose 0 = 3*g - 4*y + 26, -y = 3*y - 20. Let j(c) = 2*c**2 + 7*c + 8. Is j(g) even?
True
Is 16 a factor of 5 - 750/(3 - 8)?
False
Suppose -11*b = -12*b - 2*l - 96, 5*b = 3*l - 415. Let h = b - -108. Does 5 divide h?
False
Is 6774/3 - 420/(-42) a multiple of 12?
True
Let a = -2 - -6. Is 5 a factor of (144/28)/(a/14)?
False
Let i = -69 - -53. Let n(a) = -a**2 - 17*a + 9. Is 9 a factor of n(i)?
False
Does 2 divide ((-21)/(-35))/(1/85)?
False
Let m = 9 - 3. Let d(o) = 2*o**3 - 5*o**2 - o + 11. Let g(v) = v**3 - 2*v**2 + 5. Let a(l) = 3*d(l) - 5*g(l). Does 8 divide a(m)?
False
Let i(l) = l**2 + 2*l - 2. Let v be i(-2). Does 11 divide 28/(-42)*165/v?
True
Let k(f) = -f**3 - 2*f**2. Let g be k(-2). Let w = 10 + g. Is 6 a factor of 192/w + (-1)/5?
False
Let p = -2 + -4. Let q(h) = -h**3 - h**2 + h + 1. Let i(a) = 6*a**3 + 13*a**2 + 2*a - 3. Let d(o) = i(o) + 5*q(o). Does 10 divide d(p)?
False
Let o(n) = 22*n - 3. Let l(q) = -q + 1. Let m(h) = 4*l(h) + o(h). Suppose -5*f + 0*f + 10 = 0. Is 22 a factor of m(f)?
False
Let g be -5 - ((-3)/(-1) - 6). Let t(w) = w**3 + 5*w**2 + 4*w + 5. Does 4 divide t(g)?
False
Let w be (1 + 13)/((-2)/(-8)). Suppose -9*k - 116 = -5*k. Let r
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 68*c**2 - 3. Let n(v) = 12*v**6 + 2*v**3 - 67*v**2 + 2. Let q(d) = 3*n(d) + 2*o(d). What is the third derivative of q(j) wrt j?
1680*j**3
Find the second derivative of 9*h**4 - 158 + 12*h + 156 + 2*h**3 + 0*h**3 + 5*h**3 wrt h.
108*h**2 + 42*h
Let n(d) = 1 - 1 - 3*d - 2 - 5. Let v be n(-3). What is the second derivative of -16*i**2 - v*i**3 + 4*i**3 + 16*i**2 + i wrt i?
12*i
Find the second derivative of -23*u**5 - 21*u**5 + 1 + 237*u**5 + 68*u - 2*u**4 + 2*u**4 wrt u.
3860*u**3
What is the derivative of 7564*o**2 - 52 - 7615*o**2 - 513 wrt o?
-102*o
Let o(r) = 82*r**2 - 25*r + 7. Let h(t) = 82*t**2 - 25*t + 6. Let c(a) = -7*h(a) + 6*o(a). Find the second derivative of c(k) wrt k.
-164
Let i(u) be the third derivative of 0*u - 31/6*u**3 + 0 + 0*u**6 + 32*u**2 + 0*u**4 + 7/30*u**7 + 0*u**5. What is the first derivative of i(o) wrt o?
196*o**3
Let m(l) = -13*l + 47. Let x(o) = 7*o - 24. Let d be 4 - (-1 - -1)/(9 + -7). Let r(b) = d*m(b) + 7*x(b). What is the first derivative of r(f) wrt f?
-3
Let b(s) be the second derivative of 0*s**2 - 9/20*s**5 + 0 + 0*s**4 + 4/3*s**3 + 17*s. What is the second derivative of b(y) wrt y?
-54*y
Find the third derivative of 2*w**5 - 8*w**4 + 8*w**4 + 177*w**2 - 2*w**5 + 91*w**6 - w**5 wrt w.
10920*w**3 - 60*w**2
Let n(p) = 2*p**4 - p**3 + 3*p. Let i(k) = 7*k**4 - 2*k**3 + 75*k**2 + 6*k - 481. Let z(f) = i(f) - 2*n(f). Find the first derivative of z(q) wrt q.
12*q**3 + 150*q
Find the second derivative of -4*r**3 + 268 - 7*r**2 - 268 - 36*r wrt r.
-24*r - 14
Find the second derivative of -40 + 38 + 10*m**2 + 9*m**3 + 2*m - 3*m**2 wrt m.
54*m + 14
Differentiate 262*v + 165 + 36 + 15 wrt v.
262
Suppose 0 = 13*i - 16*i + 6. Let g(l) be the third derivative of 0*l + 0 - 4*l**i - 5/24*l**4 - 2/3*l**3. Find the first derivative of g(o) wrt o.
-5
Find the third derivative of -7*q + 25*q - 16*q**2 - 1 - 18*q - 107*q**4 wrt q.
-2568*q
Let v be -5 + 10 - 3 - -96. Differentiate 27 + v*f**2 + 91*f**2 - 189*f**2 + 2*f**3 with respect to f.
6*f**2
Let z be (-2 + (-39)/(-15))*10. What is the second derivative of -3*d - 4*d - 19*d**2 - z*d**2 + 2*d wrt d?
-50
Suppose 16 = 3*a + 10. What is the third derivative of -l**2 + 8*l**5 - l**5 - l**5 - 2*l**a wrt l?
360*l**2
Suppose 0 = -2*c + 5 + 7. Let o = -3 + c. Find the third derivative of -o*j**2 + j**2 + 2*j**6 + 2*j**6 wrt j.
480*j**3
Let x(l) = 6*l - 2*l**3 - 4*l**2 + 2*l + 5 - 7*l. Let y be x(-3). What is the second derivative of y*r**2 - 20*r**2 - 6*r + 8*r**4 wrt r?
96*r**2
Let x = 47 + -45. Find the second derivative of -4*o**x - 22*o**2 + 4*o - 8*o wrt o.
-52
Suppose -6*q + 4 = -5*q. Find the third derivative of -14*t**q + 14*t**4 + 10*t**5 - 46*t**2 wrt t.
600*t**2
Suppose -6*q = 15 - 39. Find the second derivative of -h - h - 12*h**4 - 29*h**q wrt h.
-492*h**2
Let w(n) = 2*n. Let j(r) = 33*r - 77. Let k(a) = -j(a) - 5*w(a). Differentiate k(d) with respect to d.
-43
Suppose 5*g + 2*i = 825, 2*g - 143 = g + 4*i. Let d = 259 + g. What is the derivative of 428 - t**4 + 6*t**4 - d wrt t?
20*t**3
Let f = 318 + -163. What is the first derivative of 5*k**3 + 5 + f*k - 155*k wrt k?
15*k**2
Let v(n) be the third derivative of 7*n**4/6 - 3*n**3/2 + 39*n**2 + 2. What is the derivative of v(b) wrt b?
28
Let q be (-3)/((-3 - -1) + 1). What is the derivative of 22*j**3 - 3 + 20*j**3 - 36*j**q wrt j?
18*j**2
Let a be 2/(65/20 + -3). What is the second derivative of z - 7*z - 5*z**2 + 18*z**2 - a*z wrt z?
26
Suppose -112 = -4*f + 24. Let o = f - 21. Find the second derivative of -18*d + 0*d**3 + 19*d + o*d**3 wrt d.
78*d
Let b = 20 - 17. Find the third derivative of 20*p**b + p**3 - 4*p**3 - 8*p**2 wrt p.
102
Let f be 3 + 6/(-3) - -4. Let n(z) = 4*z**3 - 23*z**2. Let u(i) = 2*i**3 - 11*i**2. Let l(j) = f*u(j) - 2*n(j). What is the third derivative of l(k) wrt k?
12
Let k(i) be the third derivative of -53*i**5/60 - 7*i**4/8 + i**3/2 + 5*i**2 + 3. What is the second derivative of k(c) wrt c?
-106
Let r(m) = 112*m**3 - 92*m**2 - 5. Let f(v) = -2*v**3 + 1. Let t(a) = 5*f(a) + r(a). What is the third derivative of t(y) wrt y?
612
Suppose g = -m + 10, -5*g + 8*m - 3*m + 100 = 0. What is the third derivative of -538 + 538 + g*r**2 + 11*r**5 wrt r?
660*r**2
Suppose -1 = 4*t - 9. Suppose o = 4, -12 = 3*d - 4*o - t. Find the first derivative of 8 - 6 + d + 7*x wrt x.
7
Let r(z) be the first derivative of -z**7/70 - z**4/12 + 4*z**3 - 7. Let m(k) be the third derivative of r(k). Find the first derivative of m(v) wrt v.
-36*v**2
Let v be -6*((-5)/5)/2. What is the third derivative of 17*d**3 + 2*d**2 - d**v + 5 - 2 + 6*d**3 wrt d?
132
Let j(q) be the second derivative of 19*q**6/10 + 17*q**4/12 - q**2/2 + q - 1. What is the third derivative of j(n) wrt n?
1368*n
Let g(o) = 276*o**2 - 51*o + 5. Let z(y) = y**2 + 1. Let k(w) = g(w) - 5*z(w). Find the second derivative of k(h) wrt h.
542
Let f(j) = -j**4 + j + 1. Let h = 10 + -6. Let a(r) = -r**4 + 0*r + r + 4*r**4 - 5*r**h. Let w(y) = 6*a(y) - 6*f(y). Differentiate w(p) wrt p.
-24*p**3
Let b(a) be the third derivative of -37*a**5/60 + 11*a**4/12 + a**3/3 + 3*a**2 - 4. Find the second derivative of b(p) wrt p.
-74
Let w(i) be the second derivative of -3*i**8/280 + 2*i**4/3 + i**3 - 6*i. Let g(h) be the second derivative of w(h). Differentiate g(m) with respect to m.
-72*m**3
Let q be (-7)/(-6)*(-1)/(-7). Let f(c) be the second derivative of 0*c**5 + 0*c**4 + q*c**6 + 0*c**3 - 4*c + 0 - 5/2*c**2. What is the derivative of f(u) wrt u?
20*u**3
Suppose 2*r = 7 - 3. Suppose -v = r*v - 12. Differentiate 0*o**v + 2*o**4 - 6*o**4 + 5 with respect to o.
-16*o**3
Suppose 4*h - 26 = -2*y, h - 3*y + 23 = 3*h. Find the third derivative of 2*s**2 - 12*s**h - 7*s**2 + s**2 wrt s.
-288*s
Let m(f) = f - 1. Let w be 12/18 - (-2)/6. Let y(s) = 19*s + 23. Let v(l) = w*y(l) - 2*m(l). Find the first derivative of v(t) wrt t.
17
Let z = 1709/1185 - 10/237. Let d(w) be the first derivative of 0*w**2 - z*w**5 + 0*w + 13/3*w**3 - 14 + 0*w**4. What is the third derivative of d(a) wrt a?
-168*a
What is the first derivative of 15*q**2 - 318*q**2 + 312 - 63*q**2 - 220*q**2 + 59 wrt q?
-1172*q
What is the third derivative of -9 - 326*g**2 - 366*g**3 + 9 - 77*g**3 wrt g?
-2658
Let u(b) = 6*b**3 - 15*b**2 + 6*b. Let h = -23 - -24. Let c(p) = p**3 + p**2 - p. Let y(m) = h*u(m) + 6*c(m). Find the third derivative of y(x) wrt x.
72
What is the third derivative of -44*t**3 - 194*t**2 - 28*t**3 - 4*t**3 + 41*t**2 - 46*t**3 wrt t?
-732
Let d(n) be the third derivative of 0*n + 1/4*n**4 - 19*n**2 + 0 + 7/3*n**3. What is the derivative of d(t) wrt t?
6
Let c(u) = -u**4 - u**3 + u + 1. Let n(x) = 2*x**4 + 113*x**3 - 8*x - 10. Let a(y) = 5*c(y) + n(y). What is the second derivative of a(t) wrt t?
-36*t**2 + 648*t
Let q(z) be the first derivative of -z**6/6 - 3*z**5 - 108*z**3 + 2*z + 20. Find the third derivative of q(g) wrt g.
-60*g**2 - 360*g
Let t(h) be the second derivative of -14*h**4/3 + 10*h**3/3 - h**2/2 - 32*h. Find the second derivative of t(s) wrt s.
-112
Let y(n) be the second derivative of -n**5/10 - n**4/4 + 4*n**2 + 6*n. Let v(k) be the first derivative of y(k). What is the second derivative of v(w) wrt w?
-12
Find the second derivative of 69*r + 74*r - 135*r - 314*r**2 - 29 wrt r.
-628
Let b(u) be the second derivative of -4*u**7/21 + 3*u**5/5 + u**3/3 - 45*u**2/2 - 6*u - 1. Find the second derivative of b(l) wrt l.
-160*l**3 + 72*l
Let r be (-2)/(-8) + 123/(-12). Let d = r + 16. What is the second derivative of -d*u - 2*u + 7*u**2 + 0*u + 3*u wrt u?
14
Let x(r) be the second derivative of -5*r**5/4 + 97*r**2/2 + 9*r - 1. What is the derivative of x(j) wrt j?
-75*j**2
Let t(i) be the first derivative of -i**6/10 + 3*i**5/20 + 17*i**2/2 - 2. Let m(w) be the second derivative of t(w). Find the third derivative of m(r) wrt r.
-72
Differentiate -225 - 63 - 29*b**2 - 108*b**2 wrt b.
-274*b
Let q = 7 - 1. Suppose 4*d + d - 11 = -4*c, -4*c - d = -15. What is the third derivative of -c*m**6 + 3*m**2 + 2*m**2 + m**q wrt m?
-360*m**3
What is the first derivative of 110 + 715*f - 4*f**2 - 716*f - f**2 + 0*f**2 wrt f?
-10*f - 1
Let t(m) be the second derivative of -107*m**3/2 + 23*m**2/2 + 6*m + 2. Find the first derivative of t(s) wrt s.
-321
Let j(x) be the second derivative of -x**7
|
{
"pile_set_name": "DM Mathematics"
}
|
earest integer?
185
What is 290666 to the power of 1/3, to the nearest integer?
66
What is the square root of 657746 to the nearest integer?
811
What is the third root of 2056504 to the nearest integer?
127
What is the square root of 263631 to the nearest integer?
513
What is the third root of 2753783 to the nearest integer?
140
What is the square root of 1081410 to the nearest integer?
1040
What is the ninth root of 199993 to the nearest integer?
4
What is the seventh root of 1940080 to the nearest integer?
8
What is 5760752 to the power of 1/9, to the nearest integer?
6
What is the square root of 314110 to the nearest integer?
560
What is 166643 to the power of 1/2, to the nearest integer?
408
What is 317760 to the power of 1/2, to the nearest integer?
564
What is the square root of 690878 to the nearest integer?
831
What is 3097077 to the power of 1/3, to the nearest integer?
146
What is 450593 to the power of 1/3, to the nearest integer?
77
What is 411569 to the power of 1/7, to the nearest integer?
6
What is the cube root of 6331547 to the nearest integer?
185
What is the square root of 238349 to the nearest integer?
488
What is the square root of 12469413 to the nearest integer?
3531
What is the cube root of 2637875 to the nearest integer?
138
What is the third root of 1048288 to the nearest integer?
102
What is 840277 to the power of 1/2, to the nearest integer?
917
What is 3000826 to the power of 1/6, to the nearest integer?
12
What is 497041 to the power of 1/4, to the nearest integer?
27
What is 302047 to the power of 1/2, to the nearest integer?
550
What is the square root of 1592045 to the nearest integer?
1262
What is the third root of 127602 to the nearest integer?
50
What is the ninth root of 2947281 to the nearest integer?
5
What is the fourth root of 1467615 to the nearest integer?
35
What is the third root of 1395240 to the nearest integer?
112
What is the cube root of 1159800 to the nearest integer?
105
What is the fourth root of 248499 to the nearest integer?
22
What is the third root of 2740321 to the nearest integer?
140
What is the fourth root of 5038853 to the nearest integer?
47
What is the seventh root of 369863 to the nearest integer?
6
What is the third root of 21772 to the nearest integer?
28
What is 30109500 to the power of 1/3, to the nearest integer?
311
What is 1146667 to the power of 1/5, to the nearest integer?
16
What is 338712 to the power of 1/2, to the nearest integer?
582
What is the sixth root of 5666161 to the nearest integer?
13
What is 277587 to the power of 1/3, to the nearest integer?
65
What is the cube root of 241919 to the nearest integer?
62
What is 354342 to the power of 1/8, to the nearest integer?
5
What is 2748798 to the power of 1/2, to the nearest integer?
1658
What is 1578639 to the power of 1/2, to the nearest integer?
1256
What is 714260 to the power of 1/2, to the nearest integer?
845
What is the fourth root of 8212094 to the nearest integer?
54
What is the third root of 16711212 to the nearest integer?
256
What is the seventh root of 6502 to the nearest integer?
4
What is the square root of 5230917 to the nearest integer?
2287
What is the tenth root of 6606908 to the nearest integer?
5
What is the cube root of 994391 to the nearest integer?
100
What is the fourth root of 2097307 to the nearest integer?
38
What is 688901 to the power of 1/3, to the nearest integer?
88
What is the sixth root of 750035 to the nearest integer?
10
What is 4426631 to the power of 1/3, to the nearest integer?
164
What is the square root of 792123 to the nearest integer?
890
What is the seventh root of 498359 to the nearest integer?
7
What is the third root of 482387 to the nearest integer?
78
What is the square root of 2490374 to the nearest integer?
1578
What is 2063389 to the power of 1/3, to the nearest integer?
127
What is the fifth root of 5803416 to the nearest integer?
23
What is the cube root of 1709678 to the nearest integer?
120
What is the tenth root of 17791 to the nearest integer?
3
What is the third root of 16697477 to the nearest integer?
256
What is 102932 to the power of 1/10, to the nearest integer?
3
What is 50430 to the power of 1/2, to the nearest integer?
225
What is the cube root of 322220 to the nearest integer?
69
What is 217576 to the power of 1/2, to the nearest integer?
466
What is 1084992 to the power of 1/2, to the nearest integer?
1042
What is 307944 to the power of 1/3, to the nearest integer?
68
What is 163333 to the power of 1/4, to the nearest integer?
20
What is 107930 to the power of 1/3, to the nearest integer?
48
What is the square root of 392852 to the nearest integer?
627
What is the sixth root of 6077252 to the nearest integer?
14
What is the cube root of 735087 to the nearest integer?
90
What is 10540267 to the power of 1/7, to the nearest integer?
10
What is 3651268 to the power of 1/3, to the nearest integer?
154
What is 139586 to the power of 1/6, to the nearest integer?
7
What is 330531 to the power of 1/2, to the nearest integer?
575
What is 286235 to the power of 1/8, to the nearest integer?
5
What is the ninth root of 8176804 to the nearest integer?
6
What is the sixth root of 27482 to the nearest integer?
5
What is the sixth root of 1231890 to the nearest integer?
10
What is 21167107 to the power of 1/3, to the nearest integer?
277
What is the square root of 357063 to the nearest integer?
598
What is 3115343 to the power of 1/6, to the nearest integer?
12
What is 4689847 to the power of 1/2, to the nearest integer?
2166
What is 2695379 to the power of 1/2, to the nearest integer?
1642
What is the cube root of 1672175 to the nearest integer?
119
What is the tenth root of 256615 to the nearest integer?
3
What is 5453495 to the power of 1/10, to the nearest integer?
5
What is the third root of 564097 to the nearest integer?
83
What is 30434 to the power of 1/3, to the nearest integer?
31
What is the square root of 1842959 to the nearest integer?
1358
What is 38499119 to the power of 1/9, to the nearest integer?
7
What is the fourth root of 3710783 to the nearest integer?
44
What is the third root of 17998065 to the nearest integer?
262
What is 1596343 to the power of 1/2, to the nearest integer?
1263
What is the fifth root of 912487 to the nearest integer?
16
What is the third root of 33480544 to the nearest integer?
322
What is the square root of 294135 to the nearest integer?
542
What is the third root of 20358216 to the nearest integer?
273
What is 714344 to the power of 1/3, to the nearest integer?
89
What is the square root of 1680900 to the nearest integer?
1296
What is 24759016 to the power of 1/2, to the nearest integer?
4976
What is 4965418 to the power of 1/9, to the nearest integer?
6
What is the square root of 5852288 to the nearest integer?
2419
What is the cube root of 67332 to the nearest integer?
41
What is 4216496 to the power of 1/10, to the nearest integer?
5
What is the square root of 1596209 to the nearest integer?
1263
What is 191171 to the power of 1/3, to the nearest integer?
58
What is 1970793 to the power of 1/9, to the nearest integer?
5
What is the square root of 6027916 to the nearest integer?
2455
What is 29493 to the power of 1/2, to the nearest integer?
172
What is the ninth root of 285818 to the nearest integer?
4
What is 3776362 to the power of 1/3, to the nearest integer?
156
What is 2010386 to the power of 1/2, to the nearest integer?
1418
What is the seventh root of 1534355 to the nearest integer?
8
What is the cube root of 191176 to the nearest integer?
58
What is the third root of 1260209 to the nearest integer?
108
What is the eighth root of 158878 to the nearest integer?
4
What is 36769 to the power of 1/2, to the nearest integer?
192
What is 2908249 to the power of 1/2, to the nearest integer?
1705
What is 2036589 to the power of 1/2, to the nearest integer?
1427
What is the cube root of 4142750 to the nearest integer?
161
What is the eighth root of 13091 to the nearest integer?
3
What is the square root of 4435447 to the nearest integer?
2106
What is 12031813 to the power of 1/6, to the nearest integer?
15
What is 1322398 to the power of 1/4, to the nearest integer?
34
What is 35908 to the power of 1/4, to the ne
|
{
"pile_set_name": "DM Mathematics"
}
|
004984
What is 18.0956178 rounded to zero decimal places?
18
What is -3.77570587 rounded to 4 dps?
-3.7757
What is 0.0000302263732 rounded to 6 decimal places?
0.00003
What is -105615.462 rounded to the nearest 1000?
-106000
Round -1634302.72 to the nearest 1000.
-1634000
What is 502049570 rounded to the nearest 1000000?
502000000
What is 608337918 rounded to the nearest one million?
608000000
What is -5531.23375 rounded to the nearest integer?
-5531
What is 692364.92 rounded to the nearest 1000?
692000
What is 1126.057499 rounded to the nearest ten?
1130
Round -572.225083 to the nearest integer.
-572
Round 2.3493538 to three dps.
2.349
Round 12356486.2 to the nearest one thousand.
12356000
Round -2201.915233 to the nearest one hundred.
-2200
What is 2235480.172 rounded to the nearest 10000?
2240000
Round -0.004425665698 to 5 dps.
-0.00443
What is 0.0001298245311 rounded to 5 decimal places?
0.00013
Round 8.94543911 to 2 dps.
8.95
What is -0.0300765052 rounded to 4 decimal places?
-0.0301
Round -32182231.9 to the nearest 100000.
-32200000
Round 913.7726653 to one dp.
913.8
What is -287.4435734 rounded to 2 dps?
-287.44
Round -0.00672264616 to 6 dps.
-0.006723
What is 13.4934928 rounded to the nearest integer?
13
Round -630420.101 to the nearest 100.
-630400
What is -94.90421 rounded to the nearest integer?
-95
Round 302.148048 to two decimal places.
302.15
What is -0.00083692087 rounded to seven decimal places?
-0.0008369
What is -0.00587256131 rounded to 3 decimal places?
-0.006
Round -24239.9296 to the nearest one thousand.
-24000
What is -511.11688 rounded to the nearest one hundred?
-500
What is 4.17484377 rounded to 3 decimal places?
4.175
What is -0.0000171016133 rounded to 7 decimal places?
-0.0000171
What is 0.00357445281 rounded to five dps?
0.00357
What is -2645391 rounded to the nearest 10000?
-2650000
Round -5687.411 to the nearest ten thousand.
-10000
Round 36990.73532 to the nearest 10.
36990
What is -1169077.632 rounded to the nearest one thousand?
-1169000
Round 3.360920227 to two decimal places.
3.36
What is -642448780 rounded to the nearest one million?
-642000000
Round 0.0230019354 to four decimal places.
0.023
Round 845.39299 to the nearest ten.
850
What is 31534898.33 rounded to the nearest 10000?
31530000
Round 91467.7734 to the nearest 10000.
90000
Round 1800721.03 to the nearest one million.
2000000
Round 0.0025350554301 to 6 decimal places.
0.002535
Round 0.00002044812365 to six decimal places.
0.00002
What is 355.09985 rounded to the nearest integer?
355
What is 5222873.954 rounded to the nearest ten thousand?
5220000
What is 5257.4771 rounded to zero dps?
5257
What is 14166689.8 rounded to the nearest one million?
14000000
What is -16.6297217 rounded to 2 dps?
-16.63
Round 0.00194170777 to seven dps.
0.0019417
What is 12.0004329 rounded to 1 decimal place?
12
What is -0.000154426215 rounded to 5 decimal places?
-0.00015
Round -54809377.6 to the nearest 10000.
-54810000
Round -0.003115634978 to seven decimal places.
-0.0031156
Round 49217118 to the nearest one million.
49000000
Round -1161034.39 to the nearest one thousand.
-1161000
What is 271.044937 rounded to two decimal places?
271.04
What is -22.7827488 rounded to two decimal places?
-22.78
What is -89029431.3 rounded to the nearest one hundred thousand?
-89000000
Round 49669.6794 to the nearest 10.
49670
Round -0.111313525 to four dps.
-0.1113
What is 0.03369644713 rounded to five dps?
0.0337
What is -4000.534812 rounded to one dp?
-4000.5
Round -362374089 to the nearest 100000.
-362400000
What is 0.0000212963404 rounded to 6 decimal places?
0.000021
What is 0.031234168 rounded to 2 decimal places?
0.03
What is 0.0100367692 rounded to 6 decimal places?
0.010037
What is 2.67925267 rounded to two decimal places?
2.68
What is 188602.373 rounded to the nearest 10000?
190000
Round -182.538237 to one decimal place.
-182.5
Round -4431474.2 to the nearest 1000000.
-4000000
Round 0.00014277136 to seven dps.
0.0001428
What is 0.43124826 rounded to 4 decimal places?
0.4312
Round 15.19152643 to one dp.
15.2
What is -1.3470655 rounded to one decimal place?
-1.3
What is -2105.723174 rounded to the nearest 10?
-2110
Round 30246.99385 to the nearest 10000.
30000
Round -59.771124 to the nearest 10.
-60
What is -28251023 rounded to the nearest 10000?
-28250000
Round -5666.691002 to the nearest 10.
-5670
Round 0.000205936333 to six decimal places.
0.000206
What is -111531437.31 rounded to the nearest 1000?
-111531000
Round -2.42333405 to zero decimal places.
-2
Round -4.17805782 to three dps.
-4.178
Round 9.86899964 to two dps.
9.87
What is 0.004444844 rounded to four dps?
0.0044
What is 0.006507856087 rounded to five dps?
0.00651
Round 285385.715 to the nearest ten thousand.
290000
Round -0.000112644573 to six dps.
-0.000113
What is -124.3903311 rounded to the nearest 10?
-120
What is 0.367429758 rounded to two decimal places?
0.37
What is -2285.3405 rounded to the nearest ten?
-2290
Round -12144239.154 to the nearest 1000.
-12144000
Round -1.59931705 to one decimal place.
-1.6
What is 0.0000002138321427 rounded to 7 dps?
0.0000002
What is -1352.464064 rounded to the nearest integer?
-1352
What is 45443.4213 rounded to the nearest 1000?
45000
Round -58.26709569 to 0 dps.
-58
What is -5312025.86 rounded to the nearest 100?
-5312000
Round -0.00000368369839 to six dps.
-0.000004
What is -35430285.4 rounded to the nearest 1000?
-35430000
What is 2504285220 rounded to the nearest 1000000?
2504000000
What is 0.00455413918 rounded to four dps?
0.0046
Round 16875.5279 to the nearest one hundred.
16900
What is -0.295330013 rounded to five decimal places?
-0.29533
Round -0.0000468073749 to seven decimal places.
-0.0000468
What is -9.420286424 rounded to 3 dps?
-9.42
Round 92.8110903 to the nearest integer.
93
What is -17.6497926 rounded to 0 dps?
-18
Round -0.000003128468404 to 7 dps.
-0.0000031
What is 0.17495372 rounded to 4 dps?
0.175
What is 1063.2366409 rounded to the nearest one hundred?
1100
What is 8723964.871 rounded to the nearest 100?
8724000
Round -1.44611764 to 2 dps.
-1.45
What is 38324102000 rounded to the nearest 1000000?
38324000000
What is 445.8169657 rounded to the nearest one hundred?
400
What is -607565.928 rounded to the nearest one hundred thousand?
-600000
What is -0.000074787594 rounded to six dps?
-0.000075
Round -6.2958681 to the nearest integer.
-6
What is 96.56687 rounded to 1 dp?
96.6
What is -577151 rounded to the nearest 1000000?
-1000000
Round -2144.269484 to the nearest one hundred.
-2100
What is -28216215.63 rounded to the nearest one thousand?
-28216000
Round 3574.9046 to the nearest integer.
3575
What is -0.287525988 rounded to five dps?
-0.28753
Round 216651795.4 to the nearest ten thousand.
216650000
Round -80130184 to the nearest one hundred thousand.
-80100000
What is 3202627304.3 rounded to the nearest 10000?
3202630000
Round -31031417.56 to the nearest 100000.
-31000000
What is 8197839.8 rounded to the nearest 10000?
8200000
Round -460914.5121 to the nearest 10.
-460910
Round -9.8527 to the nearest ten.
-10
What is 1325.57741 rounded to the nearest one hundred?
1300
What is -444898.273 rounded to the nearest 1000?
-445000
What is -284634.71899 rounded to zero dps?
-284635
Round 4.6605582 to one decimal place.
4.7
Round 1929.534403 to the nearest 10.
1930
What is -17191101400 rounded to the nearest one million?
-17191000000
Round -0.0730044531 to 2 decimal places.
-0.07
Round 0.069500861 to four decimal places.
0.0695
What is -4.00364536 rounded to three dps?
-4.004
What is 574.0621297 rounded to the nearest 100?
600
What is 196.0936246 rounded to the nearest integer?
196
What is 2410648.8 rounded to the nearest one million?
2000000
What is -0.00465977117 rounded to 6 dps?
-0.00466
What is -0.000012664692 rounded to six decimal places?
-0.000013
What is -0.00457481 rounded to four decimal places?
-0.0046
Round 0.26323763 to four decimal places.
0.2632
Round -0.048849541 to 3 decimal places.
-0.049
What is -0.0021901408 rounded to six dps?
-0.00219
Round 2.06925882 to 2 decimal places.
2.07
Round -0.000477464531 to 7 decimal places.
-0.0004775
What is -0.0000215436847 rounded to 7 dps?
-0.0000215
Round -402.295 to the nearest 1000.
0
Round 0.00
|
{
"pile_set_name": "DM Mathematics"
}
|
late the remainder when 196 is divided by k(-5).
97
Let n = 56 + 7. Suppose 2*k + 5 = 13. Suppose k*t - 64 = -0*t. What is the remainder when n is divided by t?
15
Suppose 34*o - 29*o = 25. What is the remainder when 144 is divided by 148/o + 6/(-10)?
28
Let h = 123 + -94. Let v(y) = y**2 - 5*y + 8. Let o be v(6). Suppose -r + 4*p - 4 + o = 0, r - p = 10. What is the remainder when h is divided by r?
9
Suppose -17*x + 22*x = 0. Suppose x = -o - 5*y + 23, -3*o - y + 4*y + 33 = 0. Suppose -115 = 4*b - 9*b. What is the remainder when b is divided by o?
10
Let v be (-26)/(-78)*-111*1. Let g = -21 - v. Calculate the remainder when 27 is divided by g.
11
Let v(c) = c**2 + 4*c + 1. Let z be v(-3). Let h = z + 6. What is the remainder when 19 is divided by (4/(h/5))/1?
4
Suppose -122 = -h - p, -h + 126 = -2*p + 4*p. Calculate the remainder when h is divided by 64.
54
Suppose -1008 = 274*f - 292*f. Calculate the remainder when 249 is divided by f.
25
Let u = -43 + 61. Suppose -u*j + 16*j = -76. Suppose 0 = -4*k - 2*s + 90, 5*k + 4*s - 100 = 20. Calculate the remainder when j is divided by k.
18
Suppose -4 = -8*j + 7*j + 5*u, 0 = -5*j + 2*u + 43. What is the remainder when -2 + 17 - 16/(-8) is divided by j?
8
Suppose 5*x + 5*s - s = 4, 2*x + 2*s = 0. Calculate the remainder when (581/(-14))/((-2)/x) is divided by 14.
13
Let o = -40 - -53. Suppose -o = -t + 12. What is the remainder when 222 is divided by t?
22
Let a(o) = -18*o**3 + 2*o + 1. What is the remainder when (3 + 141)*(-4)/(4 + -16) is divided by a(-1)?
14
Let u(m) = 3*m**2 - 2*m + 1. Let s be u(3). Suppose 6*r = 2*t + 2*r - s, 0 = 4*r - 16. Calculate the remainder when 73 is divided by t.
16
Suppose -2*l + 494 - 470 = 0. What is the remainder when 191 is divided by l?
11
Let q(a) = 4*a + 2. Let f(o) = o**3 + 6*o**2 + 2*o + 5. Let j be f(-6). Let n = 9 + j. What is the remainder when q(n) is divided by 6?
4
Suppose 4*z - 5*j - 22 = 45, 5*z + 5*j - 50 = 0. Suppose z*d - 62 = 12*d. Calculate the remainder when d is divided by 16.
14
Let m(k) = -9*k - 2. Let f = 185 + -156. What is the remainder when f is divided by m(-2)?
13
Suppose -4*r + 27 = -37. Let w = r - 9. What is the remainder when (-110)/275 - (-2)/(20/114) is divided by w?
4
Let m(d) = -5*d**3 - 10*d**2 - 6*d - 8. Let u(r) = -4*r**3 - 9*r**2 - 5*r - 9. Let p(a) = -3*m(a) + 4*u(a). What is the remainder when p(-7) is divided by 26?
25
Let q = 339 - 220. What is the remainder when q is divided by 31?
26
Let d(i) = -i + 11. Suppose g = -g. What is the remainder when d(g) is divided by 2?
1
Suppose 5*r - 3*y - 1236 = 0, -64*r = -65*r + 3*y + 240. Calculate the remainder when r is divided by 28.
25
Suppose 0 = -2*d + 2*q + 26, 5*d - 67 = -0*q + 3*q. Let i be -2 - 7 - 8/4. Let w = i + 65. What is the remainder when w is divided by d?
12
Suppose -3*w - 4*a = 5 + 10, -2*a = 0. Let o(s) = -3*s - 8. What is the remainder when 34 is divided by o(w)?
6
Let b = -9 + 10. Let v(i) = -i**3 + 8*i**2 + 10*i + 11. What is the remainder when (b/1 - -36) + 2 is divided by v(9)?
19
What is the remainder when (-446)/((-4)/(-3)*72/(-48)) is divided by 9?
7
What is the remainder when 172 is divided by (133/(-21) + 8)*21?
32
Suppose 135 = 3*r + 2*r. Suppose 2*t - 6 = 3*t. Calculate the remainder when r is divided by (3 + t/4)/((-3)/(-30)).
12
Calculate the remainder when 238 is divided by 4 - ((-2)/(-3))/(42/(-3591)).
55
Let d be (-3)/(-2) + 0 - 97/(-2). Suppose 4*r = 5*p + d, -5*p = r - 7 - 18. What is the remainder when 74 is divided by r?
14
What is the remainder when (-2)/7 - 226/(-7) is divided by 13?
6
Let j(s) = 37*s - 146. What is the remainder when j(5) is divided by (-5 + -5)/(2/(-4))?
19
Suppose -8*x = 33 - 89. What is the remainder when 21 is divided by x?
0
Let d(k) = k + 2. Suppose 30 = 4*l + 10. What is the remainder when 82/697 + ((-555)/51)/(-1) is divided by d(l)?
4
Suppose -124 = -10*d + 8*d. What is the remainder when d is divided by 5?
2
Let c(o) = -o**2 - 4*o + 5. Let g be c(-5). Let h(b) = 3*b - 4*b - b + 33. What is the remainder when h(g) is divided by 18?
15
Suppose 2*x + 58*t = 61*t - 4, 0 = 5*x - 5*t + 5. What is the remainder when 252 is divided by x?
0
Let d be 56*(-4 + (-92)/(-16)). Suppose 3*s - d = a, 4*s + 5*a - 3*a - 124 = 0. What is the remainder when 63 is divided by s?
31
Let b = 8 - 12. Let u be 1*-6*b/8. Let s(z) = z + 10. What is the remainder when s(u) is divided by 7?
6
Suppose -12*j + 180 = -3*j. Calculate the remainder when 34 is divided by 4*(j/8 + 1).
6
Let m = 83 - 29. Suppose 40 = 589*q - 584*q. Calculate the remainder when m is divided by q.
6
Suppose -z + 2*z - 60 = 0. Let d = -16 - -48. What is the remainder when z is divided by d?
28
Let k(y) = y**2 + 12*y + 1. Calculate the remainder when 260 is divided by k(-14).
28
Let l(s) = -s**3 + s**2 - s + 11. Suppose 2*r + 4*u + 4 = 0, r - 4 = -r + 4*u. What is the remainder when l(r) is divided by 6?
5
Suppose 3*b = 5*b + 12. Let z = 11 + b. Suppose -z*w + 58 + 68 = -2*y, -2*w + 46 = -3*y. Calculate the remainder when w is divided by 7.
5
Let o = 1 - 9. Let m = o - -5. Calculate the remainder when 52 is divided by (3 - 4)/(m/54).
16
Suppose 5*o - k = 173, 2*o = o + 4*k + 27. Calculate the remainder when 169 is divided by o.
29
Suppose 5*z = 5*h + 280 - 45, 5*h + 97 = 2*z. Calculate the remainder when 127 is divided by z.
35
Suppose -20 = -2*y - 5*x - 0*x, -3*x = -4*y + 14. Let v = 10 - y. Suppose 2*a - v*m - 18 = 0, 3*m - m = -3*a + 27. What is the remainder when a is divided by 5?
4
Suppose 0 = b + 24 - 36. What is the remainder when 2952/42 - (-2)/(-7) is divided by b?
10
Let i(y) = 3*y - 2*y + 70 - 2. Let z be i(0). What is the remainder when 48 is divided by (z/6)/(2/3)?
14
Let u(q) = -q**2 - 22*q - 39. Suppose p + 4*k = 7 - 34, -5*p = 3*k + 101. What is the remainder when 71 is divided by u(p)?
17
Let n = 23 - 38. Calculate the remainder when 10 is divided by (-3 - n)*1/2.
4
Let o(s) = -9*s - 12. Let v be o(-6). Let c = v - 37. Calculate the remainder when 9 is divided by c.
4
What is the remainder when 41/(-123) + (0 - (-620)/6) is divided by 5?
3
Let s = 1199 - 1173. Calculate the remainder when 73 is divided by s.
21
Suppose -4*b + 53 + 179 = 0. Let l(k) = -k**2 + 11*k + 6. Let v(n) = 3*n**2 + 3*n + 2. Let s be v(-2). What is the remainder when b is divided by l(s)?
28
Let o = 213 - 126. Calculate the remainder when 438 is divided by o.
3
Suppose -3*z - 148 = 2*h - 497, -354 = -3*z + 3*h. Let g = z - 66. What is the remainder when g is divided by 9?
6
Suppose 4*f - 24 = -4, -f = 3*o - 92. Calculate the remainder when 374 is divided by o.
26
Let m(q) = q - q + 8*q**2 + q**3 + 9. Calculate the remainder when m(-8) is divided by (-6 - -6) + 5 + 0.
4
What is the remainder when 622 is divided by 44018/494 - ((-51)/57 - -1)?
88
Calculate the remainder when 2941/51 - (24/9)/4 is divided by (-5)/(3 - 7/2).
7
Let p(r) = 4*r - 3. Let w be p(2). Suppose 4*m = -2*i + 8, w*i + 0*i + m - 29 = 0. Suppose -3*j + i = -21. What is the remainder when j is divided by 6?
3
Let m(d) be the second derivative of -d**3/2 + 4*d**2 - d. Let l be m(0). Calculate the remainder when 22 is divided by l - (2 + -3) - -3.
10
Let r = 12 - 57. Let p = 49 + r. Let g = -13 - -27. Calculate the remainder when g is divided by p.
2
Let l(r) = 2*r**2 - 2*r + 8. Calculate the remainder when 40 is divided by l(2).
4
Suppose 0*k = -3*k - 3*d + 150, 3*d + 150 = 3*k. What is the remainder when k is divided by 63/5 + (-6)/(-15)?
11
Let d(w) = -24*w + 16. Let l(q) = -8*q + 5. Let x(n) = -3*d(n) + 10*l(n). What is the remainder when x(-5) is divided by 11?
9
Let j(w) = -8 - 3*w + 0 - 8. Let a(z) = -169*z - 518. Let p be a(-3). What is the remainder when j(p) is divided by 7?
3
Suppose -3*f = 2*n - 165, 0 = -4*f + 2 - 6. Calculate the remainder when 258 is divided by n.
6
Let l(h) = 2*h**3 - h**3 - h + 7 - 8*h**2 + 6*h**2. Calculate the remainder when 127 is divided by l(3).
10
Suppose 0 = -2*s - s, -s + 84 = a. Suppose -4*c - 3*j = j - a, -3*c - j + 71 = 0. What is the remainder when c is divided by 15?
10
Let m(g) = -110*g - 186. Calculate the remainder when 813 is divided by m(-2).
31
Let x(h) = -2*h + 48. Let p be x(22). Suppose -p*a = -5*a + 28. Calculate the remainder when 106 is divided by a.
22
|
{
"pile_set_name": "DM Mathematics"
}
|
)/(-51)) + k. Solve j + 3*d = -d + w, -3*j + 2*d = 13 for j.
-1
Suppose 1 = -l - s, -3*l - 32*s + 7 = -31*s. Solve 2*n = -n + l*q + 3, 0 = 2*q + 6 for n.
-3
Suppose -81*b + 16 + 146 = 0. Solve b*s = -3*u - 4 - 3, 4*s = -u + 11 for s.
4
Suppose 3*n = -h - h + 9, 0 = 2*h. Suppose n*k + m = -2*k + 5, 2*k - m - 2 = 0. Solve 2*t - z = 2, -4*t + 5*z + k = 3 for t.
2
Let i = 1024 + -1022. Solve -3*d + 2*d - i = -3*n, -2 = d + 4*n for d.
-2
Suppose 0 = -14*r + 32*r + 21*r. Solve j - 2*s + 7*s + 9 = r, s + 1 = 0 for j.
-4
Let k(l) = 5*l**2 - 23*l - 23. Let h be k(-1). Solve h*c + 26 = 3*t, -4*t + 3*c - 13 + 33 = 0 for t.
2
Let w = -73 - -71. Let t be (-2)/w + -1 - (-18 - -16). Solve 0 = -2*m + 2*y, 2*y + t*y = 2*m - 6 for m.
-3
Suppose 3 = -3*m - 0*m. Let f(g) = 4*g - 3. Let l(x) = -5*x + 4. Let y(u) = -4*f(u) - 3*l(u). Let w be y(m). Solve p - o = w, -4*p + 2*p = -o for p.
-1
Suppose -k = -1 - 0. Let v be (-2 - 4) + 9 + (3 - 3). Solve t - 2*n - k = 0, -v = -t + 3*n - 2*n for t.
5
Suppose 2*t + 9 = 3*q, 2*t - 2 = 5*q - 17. Let r(w) = 3*w**3 + 2*w - 1. Let x be r(1). Let p = -15 - -36. Solve 18 = x*n - 3*j - t*j, -5*n = -3*j - p for n.
3
Let q be 12/(-14) + (-600)/(-210). Solve -7*w + 4*g + 4 = -9*w, -q*w + 3*g + 3 = 0 for w.
0
Suppose -3 = 8*q - 11. Solve -20 = -4*t + 4*i, t - 8 + q = 2*i for t.
3
Let y = 369 + -360. Solve -2*q + 18 = 4*t, 0*q - 3*q = -y for t.
3
Let v = -146 - -149. Solve -5*r = 5, 5*r - r = v*z + 2 for z.
-2
Suppose 0 = -5*n - 3*p - 5, 3*n + 2*p = -0*p - 4. Suppose 3*r - n = 2*r. Suppose r*a = -1 + 47. Solve -w - 3*l + 18 = 2*w, 2*w + a = 5*l for w.
1
Let g be (-2 - 0/4)/(-1). Suppose -9*u = -5*u - 16. Suppose -24 = -3*s - s. Solve s*p = -4*x + 2*p + 8, -u*x + g*p = -2 for x.
1
Let q be 4/(-9) + 2030/315. Solve 0 = 5*n + 5*o, -2*o = 5*n - q*o + 9 for n.
-1
Let m be ((-4)/12)/(4/(-36)). Suppose -4 = -m*l - 1. Suppose 5*g - 2*v = 11 + l, 0 = -2*g + 2*v. Solve a + 6*y - 21 = 2*y, g*a + 2*y = 28 for a.
5
Let s = -655 + 668. Solve -5*z + 4*k = s, 3*k - 10 = 5*z - z for z.
-1
Suppose 20 = -m + 6*m, 10 = 5*d - 5*m. Let q(a) = 5 - 7*a - 5*a**2 + a + d*a**2. Let o be q(6). Solve 0 = -4*n + 4, -1 + 27 = o*b + n for b.
5
Let d be -35*(36/42)/(-6). Suppose 6*o + 4*p = 4*o, 2*o - 18 = 5*p. Solve -d*s + o*c = -s + 4, 29 = 3*s + 5*c for s.
3
Suppose -n + 4 = 5*r - 2, -3*n = -3*r - 18. Suppose -5 = -2*l + 1. Solve l*q - 7 = 2*h - 4*h, 0 = 2*q + 2*h - n for q.
1
Let i(v) = 12*v - 6. Let b be i(4). Let h be (-3)/(-2)*112/b. Solve 0 = h*k + 12, 4*u - 5 = -k for u.
2
Let p(h) = h**3 - 15*h**2 + 4. Let f(k) = k**2 + 19*k - 5. Let r be f(-20). Let l be p(r). Solve b + 3*q = -q - 6, l*b + q - 6 = 0 for b.
2
Let k = 5 + -3. Suppose -2*g + 4 = 3*y, 0 = k*g + 5*y - 6 + 2. Let s be (g/10)/(2/10). Solve 0 = -i - 2*w - 5, -i = -5*w + 4*w - s for i.
-1
Let l(p) = -9*p + 170. Let v be l(17). Solve 3*q = 2*k + 10, -4*k + 7*k = 5*q - v for k.
1
Suppose -2*h - 4*q + 20 = 0, h - 9*q = -5*q - 8. Solve 3*m + h + 3 = -b, -2 = -b for m.
-3
Let r = 6 + -4. Suppose 12 = -3*n + 5*n + r*m, -5*n + m = 0. Let a be (n/(-2))/((-2)/12). Solve j + 2 = a*i - 13, -5*j - 3 = 3*i for j.
-3
Let d(i) = 3*i**2 + 13*i + 54. Let o(r) = 4*r**2 + 14*r + 55. Let x(h) = -5*d(h) + 4*o(h). Let q be x(13). Solve -5*w - 3*v = -15, -2*w + 5*w + q*v = 9 for w.
3
Let c(d) be the first derivative of -d**3/3 + 7*d**2/2 + 13*d - 14. Let s be c(8). Solve -5*w + s*f = 25, 2*w = -0*f + 3*f - 12 for w.
-3
Let m be -1 + (2 - 2) + 33/3. Let d be (-1)/(-4)*(2 + m). Solve 0 = x + d*i + 4 + 2, 5*x - 4*i = 8 for x.
0
Suppose b - 7 = -4*g - 2*b, g - 6 = -5*b. Suppose 2*m + 3*c = -0*c - 17, 0 = -5*m + c. Let r = g + m. Solve 5*t - 32 = t - 5*y, r = 4*t + 2*y - 20 for t.
3
Let j(a) = -a**3 - 7*a**2 + a + 11. Let q be j(-7). Solve -q*m = m - 5, 3*b = m - 10 for b.
-3
Let g(j) = -7*j - 10. Let q be 44/(-10) - 14/(-35). Let i be g(q). Solve -w - i = -3*d + 7*d, 28 = -5*d - 4*w for d.
-4
Suppose 0 = 2*v + 4*s - 14, v - 6 = -4*s - 1. Let g = -7 + v. Solve 2*k - 3*m = -g*k - 6, 5*k = -4*m - 23 for k.
-3
Let p = 45 - 9. Let u = 39 - p. Solve 0 = u*c + 3 - 12, -5*z = 5*c - 25 for z.
2
Suppose 15 = -5*a + 145. Solve 0 = -r - 3, -4*r = 3*k - 8 + a for k.
-2
Suppose -3*v + 5*m = -31, -2*m - 7 = -2*v + 7. Suppose -727 = -341*j + 637. Solve -l + 2*s = -2, v*l = -2*s + j*s + 2 for l.
0
Let p(c) = -10*c - 3. Let o be p(-2). Let f = 15060 + -15055. Solve -f*r = i + o, 4*r = r - 2*i - 13 for r.
-3
Let p = -45 + 46. Suppose -q = -s - p, 0*q - q - 11 = -4*s. Solve -3*k + 12 = -s*m - 2, 6 = -m + 2*k for m.
-2
Let g(d) = -d**3 + 41*d**2 + 85*d + 45. Let r be g(43). Solve -r*m + 8 = 0, 4*u - 4 = 3*m - m for u.
3
Let p(f) = -f**2 - 8*f - 5. Suppose 0 = -s - 20 + 161. Let n be 6/(-21) + s/(-21). Let j be p(n). Solve 3*k - 4*y = 4 + j, -1 = -4*k + 3*y for k.
-2
Suppose 0 = 16*p - 5*p - 121. Let y = 4 - -11. Solve 3*n - y = f, -2*n + p = -f - 0 for n.
4
Let z be 8*(5/1)/10. Let p be (-4)/12*3 + z. Let b(a) = a**3 + 4*a**2 - 7*a - 6. Let v be b(-5). Solve -f + 6*f + 32 = -p*k, v*k = 4*f for k.
-4
Let l = -110 + 75. Let q = 39 + l. Solve -3*z = -3*o, q*o + z + 35 = -2*z for o.
-5
Let t(x) = x**3 + 9*x**2 - 19*x + 33. Let m be t(-11). Solve -2*h = -4*g + 2, -h - 2 = -m*h - g for h.
-3
Suppose -2*f = -5*b - 5, 2*f - 3 = 19*b - 16*b. Solve -5*g - 2*y + 1 = f, y = -5*g - 4*y + 10 for g.
-1
Suppose -5*c + 11 + 19 = 0. Let o = c - -33. Let t be 111/o + 4/26. Solve -4*d = t*u + 8, 6 = 3*u - u - 3*d for u.
0
Let b be ((-33)/12)/(1/(-4)). Suppose -3*q - 4*u = 7, 3*q - 2*u = 2*q + b. Let k be 4/((-3)/(q + -6)). Solve 0 = -4*f - g - 0*g - k, g + 5 = -5*f for f.
-1
Let d(z) = z**3 - 4*z**2 - z + 10. Let b be d(4). Suppose b*x - x = 2*j - 19, 0 = 2*j + 2*x + 2. Solve 0 = 5*w + 10, -4*s - 6 = j*w + 10 for s.
-3
Let k be (-14 - -12)/((15/(-10))/3). Solve 2*d - 5*h - 22 + 6 = 0, 0 = 5*d - k*h - 23 for d.
3
Let i(o) = o**2 - 2*o - 33. Let c be i(7). Solve -c*j - 4*h = 9 + 5, -5*h - 22 = j for j.
3
Let n(r) = -2*r**2 + 44*r + 50. Let b be n(23). Suppose -19 + 11 = -b*c. Let m = 0 + 2. Solve -c*x - u + 11 = x, m*x - 3*u = 0 for x.
3
Suppose 5*c + 5 = t, -4*c = 4*t - 13 - 7. Solve -4*n + y - 4 = 0, t*n - 4*y + 14 = -2 for n.
0
Let j(v) be the third derivative of -v**4/12 - v**3/6 + v**2. Let l be j(-2). Solve -11 = 7*g - 2*g - 4*x, -3*x = l for g.
-3
Suppose 0 = -4*a + 2*s + 13 + 5, -a = -5*s. Suppose 0 = a*b - 4*b - 10. Suppose 0 = -4*z + b + 10. Solve 3*y - 3*i - 15 - 3 = 0, -z*y + 3*i + 22 = 0 for y.
2
Let r = 182 - 171. Suppose -n + 2*j = 5*j + 3, -2*n + 5*j - 28 = 0. Let m = n + r. Solve 1 = -m*f + 4*w - 11, -w - 11 = -4*f for f.
4
Suppose -3*t - 2*t - 30 = 0. Let p = -11 + 0. Let b = t - p. Solve 5 = -5*u - 5*d - 5, 2*u = -b*d + 5 for u.
-5
Suppose -60 = 5*n + y, 4*y = -5*n - y - 80. Let g = n - -36. Solve 4*w - g = 5*l, 0*l + 4*w - 17 = -3*l for l.
-1
Let k = 21 - 16. Suppose -k = -4*g + 3. Solve g*v = 3*z - 13, -2*v + 27 = 5*z - 0*v for z.
5
Let q be 38/6 + (-8)/(-12). Let n(v) = -v + 11. Let p be n(q). Suppose -p*x = -g, 3*x = g - 0*g. Solve -2*f + 0*y + y = g, 0 = 2*f - 2*y - 4 for f.
-2
Let k = 258 + -252. Solve -2*s - g - 3*g + k = 0, -2*s + 3 = 3*g for s.
-3
Suppose -286 = -21*z - 244. Solve -z*n - 23 = 5*c, -n + 8 = 4*c + 24 for c.
-3
Let i(j) = 2*j + 2 - 4 + 1. Let g be i(3). Let n = 3 + g. Solve -2*l - n = 2*a + 3*a, -2*l - 8 = -2*a for a.
0
Let k(r) = -r**3 - 14*r**2 + 16*r + 29. Let w be k(-15). Suppose 2*i = -2*i + 5*h + 28, -3*i = 5*h + w. Solve -5*g - 5 = 0, -3 - 19 = 5*f + i*g for f.
-4
Let g be 10/4*96/15. Let n be (-3 - -1)*(-56)/g. Suppose -3*b - 2*r = -5 - 0, n = 5*b + 4*r. Solve 5*z - p - 5 - 6 = 0, 0 = -z - 5*p - b for z.
2
Let y be (-1616)/(-18) + 10/45. Let s = y - 70. Solve 0 = -2*g - 3*x + 20, g - 4 = 5*x - s for g.
4
Let k be (5 + -4)*3/1. Suppose 3*z - 14 + 44 = 0. Let r be ((-15)/z + 0)*2. Solve -5*w = 2*n - 15, -2*w - k = -3*n - r*w for n.
0
Suppose -2*o - 8*u = -13*u - 55, 2*o - u - 35 = 0. Solve 3*t + 5*w + o = 20, -3*w + 3 = 5*t for t.
0
Let u be 2*4/32 - (-44)/16. Solve -2*q - 3*t - 20 = 3*q, 0 = u*t for q.
-4
Let u be (5 + -8 - 0)/((-27)/18). Solve u*o = 3*s + 5*o - 6, o = -1 for s.
3
Suppose 6*r - 4*r - 3*d - 20 = 0, -r - 4*d = -10. Suppose 0 = z - 6*z + r. Solve 0 = -0*m + m + 1, -z*m = 2*y - 2 for y.
2
Suppose -d -
|
{
"pile_set_name": "DM Mathematics"
}
|
*(0 - 4 + 0) + 2 + 2 - 1)*(30*c + 42*c - 22*c).
350*c
Expand (-8*f**2 - 5*f**2 + 5*f**2)*(-2 + 0 + 1)*(-8*f + 8*f + f) + (f**2 - 2*f**2 + 0*f**2)*(4*f + 1 - 3*f + f).
6*f**3 - f**2
Expand (-39*f + 8*f - 6*f + (-2 - f + 2)*(-13 - 19 - 2))*(-2*f**2 + 2*f**2 - f**2).
3*f**3
Expand (-5 + 4 - 9)*(0 + 3 - 2)*(-37*p + 16*p + 12*p).
90*p
Expand (2*s**3 + 2 + 10*s**2 + 2*s - 10*s**2)*(27*s - 160*s - 11*s).
-288*s**4 - 288*s**2 - 288*s
Expand (-2*k**2 - 2*k**3 + 2*k**2)*(-5*k + 0*k + 6*k) - k**4 + 3*k**4 + 0*k**4 + (-k + 4*k - 2*k)*(-6*k**3 + 6*k**3 + 24*k**3).
24*k**4
Expand (2519*w - 1382*w + 1531*w)*((-4 + 4 + 2*w)*(-4*w**2 + 3*w**2 + 3*w**2) + 2*w**2 - 2*w**3 - w**2 + w**3).
8004*w**4 + 2668*w**3
Expand (2 - k + 0 - 1)*(-k - 8*k - 6 + 7*k)*(-2 + 0 + 3)*(53 - 362 - 117).
-852*k**2 - 1704*k + 2556
Expand (0*b - b + 2*b)*(-4 + 4 + 2) + (-163 - 916 - 875)*(-2*b - 3*b + 4*b).
1956*b
Expand (-3*n**4 + 0*n**4 - 4*n**4)*(568*n - 578*n + 1123*n) + (2*n**4 - 2*n + 2*n)*(-5*n + 2*n + 2*n).
-7793*n**5
Expand (-8 - 9 + 6)*(4*y - 4*y + 3*y)*((-2*y + y + 0*y)*(-1 + 5 - 2) + y - 3*y - 5*y + (2 + 2 - 2)*(-2*y + 2*y + y) - 2*y + 5*y - 2*y).
198*y**2
Expand (-2*i + 2*i + 4*i)*(-2 - 1 + 6)*(2 - 6 + 3)*(0 - 2 + 1 + (3 - 2 - 3)*(-3 - 2 + 0) - 1 - 2 + 5).
-132*i
Expand (4 + 0 - 3)*(-3*t**3 + 0*t**3 + 2*t**3)*(-12285 + 4642 - 6367).
14010*t**3
Expand (-4 - 1 + 4)*(4 - 4 - 2*o)*(-8 + 68 + 16)*(5*o - 2*o - 4*o).
-152*o**2
Expand (-2213*x**3 + 89299 - 89299)*(-3 + 4 + 0)*(2 + 3 - 3).
-4426*x**3
Expand (-19*n - 7*n + 2*n)*(-3*n - 10*n + 11*n + 26).
48*n**2 - 624*n
Expand 14 - 5*q - 14 - 4*q - 2*q + q + (-2 + 3 + 0)*(-38 - 17*q + 38) + q + q - q.
-26*q
Expand (-2*h + 61 - 31 + 3*h)*(-4*h**2 + 2*h**2 - 6*h**2).
-8*h**3 - 240*h**2
Expand (-2*l - 3 + 3)*(-1 + 5 - 2) + 4518*l + 4918*l - 7324*l.
2108*l
Expand (3 + 2*z - 3)*((-1 - 2 + 2)*(2 + 2 - 5) - 16 + 4 - 4).
-30*z
Expand (-140586 + 140586 - 24*g + (-g - g + 4*g)*(2 - 6 + 2) + 1 + 2*g - 1 - g + 0*g + 2*g)*(-4 - 3 + 5).
50*g
Expand 3*y**2 + 182*y + 185*y - 362*y + (-5*y + 0*y + 4*y)*(1 - 1 + y).
2*y**2 + 5*y
Expand ((0 - 2 + 4)*(3 + 2 - 3) + 0 - 1 - 1 + 0 + 0 - 4 + (-4 - 1 + 4)*(2 + 2 - 2) - 2 + 2 - 2)*(3*x - 5*x - x).
18*x
Expand (b**3 - 3*b**3 + 0*b**3)*(-9*b - 4*b + 40*b + (b + 4 - 4)*(2 + 0 - 1)).
-56*b**4
Expand -2348*l**2 - 2734*l**2 + 5932*l**2 - 1 + (-1 - 1 + 0)*(0*l**2 - 2*l**2 + l**2) - 2*l**2 + l**2 + 2*l**2.
853*l**2 - 1
Expand -94*k**3 - 109*k**3 + 24*k**3 - 5*k**3 + 4*k**3 + 0*k**3 + (k**3 - k**3 + k**3)*(-5 + 2 + 2) + (3 + 1 - 6 + (-3 - 1 + 2)*(1 + 0 + 5))*(2*k**3 + 1 - 1).
-209*k**3
Expand (3489*m - 16476*m + 8676*m)*(-5*m + 0*m + 3*m)*(-2*m + 2*m - m**2).
-8622*m**4
Expand (-4*s - 5*s + 8*s)*((-1 + 1 + 1)*(2*s + 0 + 0) + 1370*s - 124*s + 338*s).
-1586*s**2
Expand 3*u + 2*u - 3*u + (-2 - 2 + 2)*(-u + 2*u - 3*u) + (-6 - 2 + 4)*(502 + 78*u - 502).
-306*u
Expand (3*s**2 + 10*s**2 - s**2)*((0 - 1 + 3)*(0 - 2*s + 0) - 2 + 2 - s - 221*s + 58*s + 580*s).
4944*s**3
Expand (-28*t**2 + 48 - 48)*((2 - 2 + 1)*(-13*t**2 + 93*t**2 - 6*t**2) - t**2 + 0*t**2 + 0*t**2).
-2044*t**4
Expand -151*j - 70*j - 153*j + (-2 + 2 - 4*j + j - 2*j + 3*j + (2 - 4 + 3)*(-4*j + 2*j + j))*((-1 + 1 + 2)*(2 - 5 + 2) - 3 + 2 - 1).
-362*j
Expand (-2*u**3 - 3*u**3 + 4*u**3)*(-1207 - 228*u**2 + 1207) - 4*u**4 - u**5 + 4*u**4 + (-3 - 2 + 3)*(u**2 + u**5 + 7*u**2 + 0*u**2).
225*u**5 - 16*u**2
Expand (-1 - 1 + 0)*(-50*s - 244756*s**2 - 237*s + 244757*s**2).
-2*s**2 + 574*s
Expand (1 + 4 - 6 + (2 - 4 + 3)*(-2 + 4 + 0))*(-5*h + 5*h - 2*h**2)*(1210 - 700 + 1635).
-4290*h**2
Expand (687*y - 479*y + 779*y)*(-1 + 0 - 1)*(-4 + 2 - 1).
5922*y
Expand (85 - 85 - 32*y)*(-41 + 41 + 29*y).
-928*y**2
Expand 2*f**2 + 2*f**2 - 5*f**2 - 8*f**2 + 2*f**2 + f - f + (-f + 3*f - 4*f)*(-3*f + f + 0*f) + 2*f**2 + f**2 - 4*f**2 - 3*f**2 - 3*f**2 + 3*f**2.
-7*f**2
Expand (7047 - 35571 - 25524 + 2624 + 107)*(-3*l + 4*l + 0*l).
-51317*l
Expand (-5 + 7 + 3)*(13 + 2467*j + 16 - 28 + 2508*j).
24875*j + 5
Expand (2*u - 6*u + 0*u)*(-2 - 2 + 2)*((1 - 5 + 2)*(137 - 35 - 39) + 0 + 2 - 4).
-1024*u
Expand -3*b**3 + 7*b**3 - 3*b**3 + (b**2 - 4*b**2 + b**2)*(-9*b + 0*b - 2*b) + 111*b**3 + 79*b**3 - 4*b**3 + 132*b**3.
341*b**3
Expand (200*g + 151 - 151)*(38 - 38 + 8*g**4).
1600*g**5
Expand (-3 + 4 + 0)*(-3 + 4 - 3 + 2*y)*((-4*y + 4*y + 2*y)*(-15 + 23 - 13) - 13*y + 7*y - 6*y).
-44*y**2 + 44*y
Expand (0*a - 3*a + a)*(-36 + 98 + 59)*(32 - 113 + 56).
6050*a
Expand 1 - q**3 - 1 + (-10*q**2 + 5*q**2 - 8*q**2)*(19*q - 19 + 19) + (2*q - 2 + 2)*(5*q**2 - 4*q**2 + q**2) + 3 - 2*q**3 - 3.
-246*q**3
Expand (-3 + 1 + 1 + 2 - 1 + 0 - 3 + 1 + 0 + (-2 + 0 + 3)*(-1 - 3 + 6) - 1 + 1 - 2 + (-2 + 5 - 2)*(-2 - 5 - 4))*(210*c**2 - 97*c**2 + 37*c**2).
-1950*c**2
Expand (-3 + 0 + 4 + (0 - 2 + 4)*(1 - 2 + 0) - 45 - 91 - 91)*(-2*t**2 - t**2 + 4*t**2 + (-t + 2*t + 0*t)*(0*t + 0*t - 2*t)).
228*t**2
Expand (-5 - 9 + 0)*(-c**2 + 4 - 4) + (249 + 101*c**2 - 249)*(-2 + 3 + 3).
418*c**2
Expand (2*o**2 - o + 6*o - 3*o - 8*o**2 + 109 - 109 + (4*o + 0*o - 2*o)*(0 + 0 - 2*o))*(-27*o**3 + 28*o**3 + 74*o**3).
-750*o**5 + 150*o**4
Expand (8*t - 6*t + 4*t)*(-3 - 7 - 4 + (-1 - 2 + 2)*(2 - 2 + 2)).
-96*t
Expand -10*z**3 + 0*z**3 + z**3 + (-4*z + 3*z - z)*(-1546356*z - 902*z**2 + 1546356*z).
1795*z**3
Expand (5*o + 0*o - 6*o)*(-1 - 1 + 3) + 5*o + 3 - 3 + (-4 + 0 + 5)*(-3*o + 2*o - o) - 11*o + 9*o - 16*o.
-16*o
Expand (-3*j + 3 - 3)*(7*j**4 - j**4 - 4*j**4) - 2*j**5 - 20*j**2 + 31*j**2 - 22 + 23.
-8*j**5 + 11*j**2 + 1
Expand (347 - 549 - 531 + 2982)*(n + 0*n + 0*n).
2249*n
Expand (2*u + u - u)*(3*u - 4*u - 13*u)*(-2*u - 5*u + 19*u).
-336*u**3
Expand (-31*y**2 - 17*y**2 + 131*y**2)*(-3*y**3 - 3*y**3 + 10*y**3).
332*y**5
Expand (-8 + 8 + 12*i)*(-2*i - 3*i + 4*i) + 1 - 3*i**2 - 1 + (-3*i - i + 3*i)*(i + 0*i + 0*i) + 19*i**2 - 23*i**2 + 18*i**2.
-2*i**2
Expand -v + 13*v**2 + 4 - 19*v**2 + 0*v + (4 + 1 - 1)*(3*v**2 - 2*v**2 - 5*v**2).
-22*v**2 - v + 4
Expand (4*a - a - 4*a + (3*a + a - 3*a)*(-2 - 3 + 3) + 10*a + 3*a - 6*a)*(-1 - 2 - 2)*(1 - 4 + 1)*(-4 + 1 + 6).
120*a
Expand (3*o**4 - 4*o + 4*o)*(0*o + 0*o + o) + (-3*o**4 + 4*o**4 - 2*o**4)*(0 + 0 - 2)*(-209*o - 54*o - 615*o).
-1753*o**5
Expand (-3*q**3 - 27*q + 27*q)*(-3*q + 6*q + 5*q) + (1 + 2 + 0)*(-q**4 + 2*q**4 + q**4).
-18*q**4
Expand ((-2*b - 1 + 1)*(-b + b + 2*b) + 2 + 2*b**2 - 2)*(1171*b - 1171*b + 47*b**2)*(32*b - 3*b + 15*b).
-4136*b**5
Expand (-47 + 96 + 1055)*(3*t - 3*t + 2*t).
2208*t
Expand (7 - 2 - 3)*(233*h**3 + 162*h**3 + 939*h**3 - 4 + 4 + 2*h**3 + 2*h**3 - 3 + 3 + (0*h**2 - 2*h**2 + 0*h**2)*(-2*h + 2*h - h)).
2680*h**3
Expand (3404 + 654*t - 3404)*(0*t**3 + 2 - 1 + 3*t**3).
1962*t**4 + 654*t
Expand (-13*n - 5*n + 70*n)*(2*n - 3*n + 2*n - n - 2*n + 2*n - n - n + 4*n + (-1 - 1 + 3)*(-2 + 2 + n) - 1 + 1 + n + 4*n + 4*n - n).
572*n**2
Expand 8*d**5 + 0*d**5 + d**5 - 3*d**5 - 2*d**5 + 3*d**5 + (-2*d - 2*d + 2*d)*(5*d**4 - 2*d**4 - 2*d**4) + 57*d**5 - 337*d**5 - 255*d**5.
-530*d**5
Expand (0*o**2 + 0*o**2 - 2*o**2)*(3*o**2 - 3*o**2 - 2*o**2) + 221771424*o + 225*o**3 + 166*o**4 - 221771424*o - 4*o + 3*o**4 + 4*o.
173*o**4 + 225*o**3
Expand -589 + 589 - 311*q + (-1 + 2*q + 1)*(4 - 4 + 2) + q + 3*q - 5*q.
-308*q
Expand (19*c**3 + 33*c**3 - 347*c**3)*(-2*c + 3*c + 0*c + (-2 + 1 - 1)*(-2*c + 2*c - 2*c) - 2*c - c + c).
-885*c**4
Expand (-2*d + 5 - 5)*(-3*d + 3*d + 2*d) + (d + 3 + 2*d - d)*(-438 - 587 - 332)*(3*d - 3*d - d).
2710*d**2 + 4071*d
Expand (11 - 30 - 32)*(4*d + d - 6*d)*(10*d + 96 - 96).
510*d**2
Expand (-1746 - 194 - 833 - 292)*(s - s + 3*s)*(-1 - s + 1).
9195*s**2
Expand (-4*w + 4*w + 6*w**2)*(-2 + w**2 + 2 + (4*w - 5*w - 3*w)*(15606 - 123*w - 15606)).
2958*w**4
Expand (0 + 1 - 2)*(-18 + 6 + 0)*(15*r**4 + 16*r**4 + 6*r**4).
444*r**4
Expand (-p**3 + p - p + (-5*p + 4*p + 0*p)*(-2*p**2 + 2*p - 2*p) - 4*p + 4*p - 2*p**3)*(-2*p + 0*p - 2*p)*(50 - 64 + 153).
556*p**4
Expand -4*o**3 - 9*o**3 - 7 + 10 + (6*o**3 - 22 + 22)*(3 - 2 - 6)*(2 + 2 - 2).
-73*o**3 + 3
Expand (45027*x - 45027*x + 498*x**2)*(-6 + 3 + 2) + (2 + 3*x**2 - 2)*(3 - 5 + 3) + x**2 + 2*x**2 - 4*x**2.
-496*x**2
Expand u + 0 + 0 + 2*u + 4 - 4 + (0 - 5 + 3)*(-3*u + 3*u + 2*u) - 13*u + 0*u + 2*u - u + 4*u - 7*u + 1.
-16*u + 1
Expand (-1385 - 138*u + 1385)*(-1 - 2 + 4)*(u**3 + u**3 + u**3) + 0*u**3 + u**3 + 8*u**4 - 5*u
|
{
"pile_set_name": "DM Mathematics"
}
|
4069*a**4 + 446*a**2 - 11*a - 107 wrt a?
61777656*a
Find the first derivative of -20*f**4 + 1586*f**3 - 147*f + 26860264.
-80*f**3 + 4758*f**2 - 147
What is the second derivative of -12517*p**2*u**3 + 1315*p**2 + 81*p*u**3 - 33*p*u**2 - 12*p*u + 2*p + u**3 wrt p?
-25034*u**3 + 2630
Find the second derivative of -14584618*l**5 + 85481651*l wrt l.
-291692360*l**3
Find the third derivative of -1581059*l**5 - 25*l**4 - 2*l**2 + 15212*l - 810 wrt l.
-94863540*l**2 - 600*l
Find the second derivative of -2*p**2*x**2 - p**2*x - 90*p*x**2 - 2*p*x - p - 199626*x**2 + 129050*x + 7 wrt x.
-4*p**2 - 180*p - 399252
Find the third derivative of -20957244*x**3 + 14337244*x**2 wrt x.
-125743464
What is the second derivative of -497*k**3*z - 3*k**2*v**2 + 13238*k**2*v + 3487992*k*v**2*z - 5*k*v**2 + k*v wrt k?
-2982*k*z - 6*v**2 + 26476*v
Find the first derivative of -172879*g*k**2 + 7600495*g - k**3 wrt k.
-345758*g*k - 3*k**2
Differentiate 215859654*l + 235688130 wrt l.
215859654
What is the second derivative of 5239409*c**3*r**2 + 11*c**3*r + c**2*r - 76*c**2 - c*r**2 - 10*c*r + 3*r wrt r?
10478818*c**3 - 2*c
What is the derivative of 4*o**2 - 18536778*o + 377203790?
8*o - 18536778
Find the second derivative of -3*c**5 + 3089620*c**3 + 3580*c - 149.
-60*c**3 + 18537720*c
Find the first derivative of 89551*f*p*r**2*y - 49448*f*r**2*y - 37*f + 31*p*r**2 wrt p.
89551*f*r**2*y + 31*r**2
What is the third derivative of 74058*h**2*n**4 - 4*h**2 - 7*h*n**2 - 81*h*n - 2*h - 86*n**6 + 3 wrt n?
1777392*h**2*n - 10320*n**3
Find the third derivative of 55*f**5 + 6158*f**4*i**2 - 388404*f**2*i**2 - 8*f*i**2 wrt f.
3300*f**2 + 147792*f*i**2
Find the third derivative of -104*u**4 - 5983*u**3 + 1930256*u**2 - 1.
-2496*u - 35898
What is the derivative of 15842638*g - 53430428?
15842638
Differentiate -34819986*p**2*u + p**2 - 6583833*u wrt p.
-69639972*p*u + 2*p
What is the second derivative of 373*u**5 + 2410*u**4 + u**3 + 52656832*u wrt u?
7460*u**3 + 28920*u**2 + 6*u
What is the second derivative of -2*o**4 - 777469*o**2 - 48*o + 28300?
-24*o**2 - 1554938
Find the third derivative of -1782438*a**3*b*j**2 + 3710*a**2*j**2 + 2*a*b*j - 1470*a wrt a.
-10694628*b*j**2
Find the first derivative of -2*r*t*u + 15*r*t - r + 37*t*u + 253354*t + 18770*u wrt u.
-2*r*t + 37*t + 18770
Differentiate -125682744*q**2 - 370019122.
-251365488*q
What is the second derivative of -7388627*c**3 - c**2 - 88558083*c?
-44331762*c - 2
What is the third derivative of 6*n**5 + 6*n**4 - 11308*n**3 + 10781551*n**2 wrt n?
360*n**2 + 144*n - 67848
What is the second derivative of -3*l**4 - 24586821*l**2 + 4370124*l + 62 wrt l?
-36*l**2 - 49173642
What is the second derivative of 38933*h*y**4 + 3334*h*y**3 - 3*h - 34654342*y wrt y?
467196*h*y**2 + 20004*h*y
Find the third derivative of -8*g**6 + 44887858*g**4 - 167309061*g**2.
-960*g**3 + 1077308592*g
What is the third derivative of 8468*r*s**5 - r*s - 309*s**6 - 199432*s**2 - 1 wrt s?
508080*r*s**2 - 37080*s**3
What is the third derivative of 5194349*x**6 + 825510*x**2 + x + 4?
623321880*x**3
Find the second derivative of 326702103*g**2*w**3 + 15*g*w**3 - 3*g*w**2 + 537*w**3 - w**2 + w - 122 wrt g.
653404206*w**3
Find the second derivative of -2*o**4 + 25439*o**3 - 393*o**2 + 1116266*o - 1 wrt o.
-24*o**2 + 152634*o - 786
What is the derivative of 747*c**3*s**2 + 4*c**3 + 46*c**2*s**2 - 654911*c + s**2 wrt s?
1494*c**3*s + 92*c**2*s + 2*s
What is the third derivative of 8816121*s*y**3 - 22873549*s*y**2 wrt y?
52896726*s
Find the third derivative of -8708684*h**3 - 7408120*h**2 wrt h.
-52252104
What is the derivative of 38*r**3*z**2 - 80284266*r**3 + 4157441*z**2 wrt z?
76*r**3*z + 8314882*z
Find the third derivative of -27913354*y**6 + y**4 - 3*y**3 - 3*y**2 - 37020007.
-3349602480*y**3 + 24*y - 18
Find the third derivative of -207839*i**3*q*r + i**3*q + 138*i**3*r - i**2*q*r + 7*i**2*q + 582315*q*r wrt i.
-1247034*q*r + 6*q + 828*r
What is the third derivative of -197944993*y**5 + 160919509*y**2?
-11876699580*y**2
Find the first derivative of -5521886*f**3*v**3 + v**3 - 236242*v + 3 wrt f.
-16565658*f**2*v**3
What is the first derivative of 17200701*g**2 + 3*g + 43309439 wrt g?
34401402*g + 3
Find the second derivative of 15*m**4 + 62263*m**2 + 6431000*m.
180*m**2 + 124526
What is the second derivative of 4*p**3 - 1445760*p**2 - 161281*p + 3 wrt p?
24*p - 2891520
What is the second derivative of -198*l**5 + 64*l**3 - 7*l**2 - 6194870*l?
-3960*l**3 + 384*l - 14
Find the third derivative of -52289801*a**3 - 4657378*a**2 wrt a.
-313738806
What is the third derivative of -4349365*s**5 + 12*s**2 - 3309?
-260961900*s**2
Differentiate 77221190*g**4 - 100245423.
308884760*g**3
Find the third derivative of -1432*x**4 + 142611*x**3 + 687613668*x**2 wrt x.
-34368*x + 855666
Differentiate -115335270*p**3 + 40268820 with respect to p.
-346005810*p**2
What is the first derivative of -2874865*g*j*v + 1782*g*v*z + 8*g*v - 498*g*z + 113*j*z - 2*z wrt j?
-2874865*g*v + 113*z
What is the derivative of -26937183*x**2 + 69130746 wrt x?
-53874366*x
What is the derivative of -185300291*t*v + 91218*t - 196 wrt v?
-185300291*t
What is the first derivative of -94798*f*q**2 - 13*f*q - 433613*f wrt q?
-189596*f*q - 13*f
What is the derivative of -8*x**4 - 362643*x**3 + 3902424 wrt x?
-32*x**3 - 1087929*x**2
What is the derivative of -6459473*m + 37499368 wrt m?
-6459473
Find the third derivative of 10977*l**4 + 226*l**3 + 449032*l**2 + 2*l - 14 wrt l.
263448*l + 1356
Differentiate 12847*b**2*f - 110556674*b**2 + 293*b*f - 2*f with respect to f.
12847*b**2 + 293*b - 2
What is the third derivative of 727755*g**3*o - 14*g**3 - 201*g**2*o + 31124 wrt g?
4366530*o - 84
What is the derivative of 16*k**4 + 328*k**3 + 185*k**2 - 12368249?
64*k**3 + 984*k**2 + 370*k
What is the third derivative of -j**3*l**2*t**2 + 6273997*j**3*t**3 + 4*j**2*l**3*t**3 - j**2*t + 13*j*l*t**2 - 17*l**3*t - 866*t**2 wrt t?
37643982*j**3 + 24*j**2*l**3
Find the third derivative of 212433008*r**4 - 1871874*r**2 wrt r.
5098392192*r
What is the derivative of -157656463*p*w**2 + 72097489*w**2 wrt p?
-157656463*w**2
What is the third derivative of 123323670*t**3 - 1153*t**2 - t - 2529?
739942020
Find the first derivative of 2*h**3*p**2 - 1904*h**3 - 307553*p**2 - 15*p + 11 wrt h.
6*h**2*p**2 - 5712*h**2
What is the second derivative of 2861763*n**5 - 134823*n - 19 wrt n?
57235260*n**3
What is the second derivative of 2*d*h**3 + 5864*d*h**2 - 2*d*h + 121173*d + 75*h**2 + 2*h + 1 wrt h?
12*d*h + 11728*d + 150
What is the second derivative of 186874725*a**3 - 244276041*a wrt a?
1121248350*a
What is the derivative of -25664375*i + 34032117 wrt i?
-25664375
Find the third derivative of 1113147946*s**3 - 401095629*s**2.
6678887676
What is the first derivative of 428434*k**2 - 61*k + 469453235?
856868*k - 61
Find the second derivative of 79585287*b**2 + 11*b - 1151852 wrt b.
159170574
What is the third derivative of -29664207*l**3 + 3271*l**2 + 57*l - 4?
-177985242
What is the derivative of 4*d**3*u - 743187*d**3 - 8*d**2*u - 2*d**2 - 8863*d*u - 2*d - 2*u + 6 wrt u?
4*d**3 - 8*d**2 - 8863*d - 2
Find the second derivative of -47708424*h**2 + 8288808*h.
-95416848
What is the second derivative of -5*l**2*z**2 + 28*l**2*z - l**2 - 57191*l*z + 1957445*z**4 wrt z?
-10*l**2 + 23489340*z**2
What is the second derivative of -15211637*r**3 - 2*r + 70044 wrt r?
-91269822*r
Find the second derivative of 21061*c**2*j**3*z + 51*c**2*z - 34179*c*j**3*z + 13*c*z + j**3 + j**2*z wrt c.
42122*j**3*z + 102*z
What is the second derivative of -5644461*n**3 - 3976330*n wrt n?
-33866766*n
Find the third derivative of -5421193*u**3*v**3 + 189*u**2*v - 4573*u*v**3 + v**3 wrt u.
-32527158*v**3
Find the second derivative of 17*c**3*g*r**3 - c**3*g*r + 186*c**3*g + 1134545*g*r**3 + 171484*g*r wrt r.
102*c**3*g*r + 6807270*g*r
What is the third derivative of 178808*t**4 - 182*t**3 - 8782*t**2 + 61*t - 3?
4291392*t - 1092
Differentiate -23548471*v + 10216992.
-23548471
Find the first derivative of -31*c*j**2 - 942*c*j - 233148722*c - 2*j**2 - j wrt j.
-62*c*j - 942*c - 4*j - 1
What is the derivative of -4*c**2*p + 64174*c**2 - 96*c*p + 387341*p + 243 wrt c?
-8*c*p + 128348*c - 96*p
What is the derivative of 7810*k*r*s - 187057*k*r + 12102*k*s + 9*
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the third derivative of -1391230*h**4 - 21*h**2 + 470*h + 27 wrt h?
-33389520*h
What is the derivative of 3673456*m + 4575410 wrt m?
3673456
Find the first derivative of -451*g*v**2 + 51*g - 157*v**2 + 71*v + 9 wrt g.
-451*v**2 + 51
Differentiate -5*w**2*x + 386*w**2 + 22*x + 15 with respect to w.
-10*w*x + 772*w
What is the derivative of -2*a**4 - 1546*a**2 - 477*a + 2882523 wrt a?
-8*a**3 - 3092*a - 477
What is the first derivative of -5*a**2*d + 2*a**2 - 6*a*d - 39*d + 3114 wrt d?
-5*a**2 - 6*a - 39
Differentiate -2972*d*s**3*t + 3*d*s**3 - 2*d*s**2 - 211*d*t - 17*d + 40*s**3 - 20 wrt t.
-2972*d*s**3 - 211*d
What is the derivative of 648*c**2*h - 10*c**2*k - c*h - 604*c + 7*h*k wrt h?
648*c**2 - c + 7*k
Find the second derivative of 403*r**4 - 71*r**3 + 2*r**2 - 76516*r wrt r.
4836*r**2 - 426*r + 4
Find the second derivative of -1982093*d*y**2 - 818*d + 136*y wrt y.
-3964186*d
What is the second derivative of -50*p**3 - 4104*p**2 + 3410*p + 3?
-300*p - 8208
What is the derivative of 34325*l**2 - 16*l + 1270063 wrt l?
68650*l - 16
What is the third derivative of -505*v**6 + 30*v**5 - 21*v**2 - 252 wrt v?
-60600*v**3 + 1800*v**2
What is the third derivative of 47222*f**4 + 6*f**2 + 249*f - 4 wrt f?
1133328*f
Find the third derivative of 53441*u*v**3 + 2*u*v**2 + 2*u*v + 5799*u + 2*v**3 + 2 wrt v.
320646*u + 12
What is the derivative of -770490*u**2 + 281517 wrt u?
-1540980*u
What is the derivative of -26*m**2 - 135*m - 40161 wrt m?
-52*m - 135
Find the third derivative of -45467*g**3*l**3 + 2*g**2*l**2 - 4*g*l**2 - 4*l**3 - 18 wrt g.
-272802*l**3
What is the derivative of -442073*o**2 + 146979 wrt o?
-884146*o
Differentiate -203*i*w**2 + i + 38*w**4 - 12*w**2 - 477591 with respect to w.
-406*i*w + 152*w**3 - 24*w
What is the derivative of -821*b*q*z - 2*b*z - 52887*b - 51*q*z wrt q?
-821*b*z - 51*z
Find the third derivative of -392443*i**3*p**3 + 9*i**2*p**3 + 2*i**2*p - 59516*i*p**3 wrt i.
-2354658*p**3
What is the second derivative of 743120*s**2 - 2881054*s wrt s?
1486240
Find the third derivative of 75113*p**3 - 2*p**2 - 51076*p wrt p.
450678
What is the third derivative of 558518*c**4 - 67863*c**2 - 3?
13404432*c
What is the second derivative of 18089*g**3 + 8*g - 369 wrt g?
108534*g
What is the derivative of -320*f**3*z + f**3 - 5*f**2*z**2 + 3645*f + 4*z**2 wrt z?
-320*f**3 - 10*f**2*z + 8*z
What is the third derivative of -349585*i**3 - 1262*i**2 - 11*i - 5 wrt i?
-2097510
What is the third derivative of -733327*l**4 + 2*l**3 - 587824*l**2?
-17599848*l + 12
Differentiate -3*d*q**2 + 336*d*q - 283*d - 14*q**2 - q - 61 with respect to q.
-6*d*q + 336*d - 28*q - 1
What is the second derivative of -3*d*v**4 - 2*d + 31098*v**4 + 211350*v wrt v?
-36*d*v**2 + 373176*v**2
Find the second derivative of 174*t**3*z - 6*t**3 + 3*t**2*z**2 - 2*t*z**2 - 12*t*z + 81*z**2 wrt t.
1044*t*z - 36*t + 6*z**2
What is the third derivative of -193569*o*x**6 - 600070*o*x**2 - x**6 wrt x?
-23228280*o*x**3 - 120*x**3
Find the second derivative of -53*b**3*o*u**2 + b**3*o + 125*b**3*u - 56*b**2*o*u + b*o*u**2 - 191*b*u**2 - 2*u wrt u.
-106*b**3*o + 2*b*o - 382*b
Differentiate -2*d**2 + 58*d*t + 81*d - 2395*t - 9 with respect to d.
-4*d + 58*t + 81
Find the second derivative of 2027*q**4 - 82*q**2 + 618041*q.
24324*q**2 - 164
What is the first derivative of 2*h*n**2 - 7*h*n - 4*h - 185*n**2 + n - 49692 wrt n?
4*h*n - 7*h - 370*n + 1
Differentiate -12*w**4 - 27*w**3 - 3*w**2 - 115552 with respect to w.
-48*w**3 - 81*w**2 - 6*w
Differentiate -324*b**2*f**2 - 31*b*f**3 - 929*f**3 - 167*f with respect to b.
-648*b*f**2 - 31*f**3
What is the second derivative of -2*g**5 + 35355*g**4 - 2*g + 66633 wrt g?
-40*g**3 + 424260*g**2
Differentiate -241395*t**4*u + 3*u + 34600 wrt t.
-965580*t**3*u
What is the second derivative of -2*p**2*s**3 - 8446*p**2*s**2 + 65154*p*s**3 wrt p?
-4*s**3 - 16892*s**2
What is the first derivative of -6*a**2*p + 2*a**2 - 38*a*p + 40*a - 527315*p wrt a?
-12*a*p + 4*a - 38*p + 40
Find the third derivative of -48761*a**5 + 87269*a**2 wrt a.
-2925660*a**2
Find the third derivative of 307167*f**3 + 2*f**2 + 121761 wrt f.
1843002
What is the third derivative of 64*g**5 - g**4 + 2339*g**3 - 206*g**2 + 428 wrt g?
3840*g**2 - 24*g + 14034
What is the first derivative of 34954*f*g + 60*f*s - 8*g*s - 5*g - 106*s wrt s?
60*f - 8*g - 106
What is the third derivative of 149007*z**5 + 1033728*z**2 wrt z?
8940420*z**2
What is the second derivative of 295181*j*p**2 - 25*j*p - p + 18 wrt p?
590362*j
Find the second derivative of -140191*m**3 + 237*m - 502.
-841146*m
Find the second derivative of 1584*b*d**2*i**3 - 79*b*d*i**2 + 8*b*d*i + 5*b*d - 2*b*i**2 + 120*d**4*i**3 + 2*d*i**3 + 1 wrt d.
3168*b*i**3 + 1440*d**2*i**3
Find the third derivative of -446423*t**3 - 1111943*t**2 wrt t.
-2678538
Find the second derivative of -3399*r**2 - 92333*r wrt r.
-6798
Find the third derivative of 32*s**5 + 2*s**4 + 137*s**3 + 369635*s**2.
1920*s**2 + 48*s + 822
Find the first derivative of -54203*v**2*z**2 + 3*v**2*z - 2*z**2 + 20918*z wrt v.
-108406*v*z**2 + 6*v*z
Find the third derivative of -c**4*m - 1090951*c**4 + 2*c**3*m + 16*c**2*m + 35*c**2 - 3*c*m - 3*c - m wrt c.
-24*c*m - 26182824*c + 12*m
What is the third derivative of 474894*d**3 + 774*d**2 - d + 24?
2849364
What is the third derivative of 82*l**3*q - 188*l**3 - 148*l**2*q + 2*l**2 - 50*l*q wrt l?
492*q - 1128
What is the first derivative of c**3*p**3 + 70996*c*p**3 + 3*p**3 + 550*p**2 - 225*p wrt c?
3*c**2*p**3 + 70996*p**3
What is the third derivative of -470*s**5 - 169*s**3 - 389161*s**2 wrt s?
-28200*s**2 - 1014
What is the third derivative of -338*h**5 + 160*h**4 + 136*h**2 - 55?
-20280*h**2 + 3840*h
Find the third derivative of 16300*f**4 - 11*f**3 + 29*f**2 - 4566 wrt f.
391200*f - 66
Find the first derivative of 1497028*j - 798162.
1497028
What is the second derivative of 60565*z**2 - 214902*z wrt z?
121130
What is the first derivative of -2*n**2*q**2 - 3*n**2*q - 3*n**2 + 2*n - 583*q**3 - 1033 wrt q?
-4*n**2*q - 3*n**2 - 1749*q**2
Differentiate 1056068*a*w**3 + 28*w**3 + 175*w**2 + 4*w with respect to a.
1056068*w**3
Find the third derivative of -28*n**3*t*y - 55*n**3*y**3 - 309*n**2*t*y - n**2*y**3 wrt n.
-168*t*y - 330*y**3
Differentiate 239764*o - 454426 wrt o.
239764
What is the second derivative of 16*a**3 - 1193*a**2 + 58755*a?
96*a - 2386
What is the second derivative of -2600615*p**4 - 1261808*p?
-31207380*p**2
What is the third derivative of 2896*f**4 + f**3 - 2*f**2 + 3*f - 141?
69504*f + 6
What is the third derivative of 3517086*p**3 - 2629719*p**2 wrt p?
21102516
Find the first derivative of -3*w**2 + 7016*w + 15091 wrt w.
-6*w + 7016
What is the second derivative of 55677*j**5 + 385098*j?
1113540*j**3
Find the third derivative of -143749*k**5 + 154158*k**2 wrt k.
-8624940*k**2
Differentiate 8*j**3*w*y + 7*j*w*y - 125*j*w + 2*w*y - w - 2*y + 26866 with respect to j.
24*j**2*w*y + 7*w*y - 125*w
Find the third derivative of 69920*i**3 + 67155*i**2.
419520
What is the third derivative of -1809*b**6 - b**3 - 58945*b**2?
-217080*b**3 - 6
Find the third derivative of -6*h**6 - 4*h**4 - 2812*h**3 - 73*h**2 + 40*h.
-720*h**3 - 96*h - 16872
Differentiate f**4*p - 40236*f*p + 68178*p with respect to f.
4*f**3*p - 40236*p
What is the second derivative of 54243*l**5 + 61*l + 55 wrt l?
1084860*l**3
Find the first derivative of -c*h**3 - 1193233*c*h**2 - 63*h**3 - h**2 - 4*h - 706 wrt c.
-h**3 - 1193233*h**2
Differentiate 3077*l*o*u - l*o - 2*l*u + 7*l - 12*o*u - o + 1131 with respect to o.
3077*l*u - l - 12*u - 1
Find the second derivative of -g**3 - 819584*g**2 + 2*g + 770166 wrt g.
-6*g - 1639168
Find the third derivative of -39*b**4*g*x + 11*b**3*g**3 + 4*b**3*g*x + b**2*g + 6*b*x + 95*g**3 wrt b.
-936*b*g*x + 66*g**3 + 24*g*x
What is the derivative of 4*c**2*v**2 - 183920*c**2 - 3*c*v**3 + 13*c*v wrt v?
8*c**2*v - 9*c*v**2 + 13*c
What is the third derivative of -j*z**5 - 3058*j*z - 2*j - 2623*z**6 + 3*z**2 wrt z?
-60*j*z**2 - 314760*z**3
What is the second derivative of c**2*m**3 + 344164*c**2*m*q + 2*c*m**3*q + 21*c*m**2 - 6*m**3*q - 18*q wrt c?
2*m**3 + 688328*m*q
Find the third derivative of -4*p**4*u**2 + 3*p**4*u + 32*p**3*u**3 + 12171*p**2*u**2 + 3*p*u**3 + 2*u**2 - 1 wrt p.
-96*p
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{
"pile_set_name": "DM Mathematics"
}
|
the third derivative of -8*t**2 - 4*t**2 - 13*t**2 + 1544*t**3 + 10*t - 14*t**2 wrt t?
9264
Let s(j) be the second derivative of 45*j + 0 + 14*j**2 + 7/20*j**5 + 7/12*j**4 + 0*j**3. Differentiate s(q) wrt q.
21*q**2 + 14*q
Let k(n) = -20*n - 112. Let a be k(-6). What is the third derivative of -22*w**3 + 40*w**3 + 139*w**2 - 25*w**3 + a*w**4 wrt w?
192*w - 42
Let j = -176 - -257. Let m be (j/18)/((-6)/8 - -1). What is the derivative of 3 + m*o - 2 + 6 - 3 wrt o?
18
Let k(m) be the second derivative of 2 + 0*m**4 - 63*m + 0*m**2 + 139/20*m**5 - 22/3*m**3. Find the second derivative of k(v) wrt v.
834*v
Suppose -9*y + 15 = -4*y. Find the second derivative of 7*j**y + 12*j + 14*j - 15*j**3 - 7*j**2 + 8*j wrt j.
-48*j - 14
Let b(m) be the third derivative of 67*m**8/112 + m**6/15 + 577*m**5/10 + m**4/12 - 9965*m**2. What is the third derivative of b(v) wrt v?
12060*v**2 + 48
What is the second derivative of -8 + 2*k**2 + 32*k + 177*k**5 + 8 + 63*k wrt k?
3540*k**3 + 4
Let p(j) be the third derivative of -239*j**5/15 + j**4/12 - 397*j**3 + 2418*j**2. What is the derivative of p(l) wrt l?
-1912*l + 2
Let k = 88 - 82. Suppose 6*b = 9*b - k. Find the first derivative of 18 + 1651*m**2 + 14*m**4 - 1651*m**b wrt m.
56*m**3
Let l be -1 - 10/5 - 31. Let i = -34 - l. Find the second derivative of -6*w**5 + 14*w**5 + 14*w + i*w**3 + 0*w**3 wrt w.
160*w**3
Let z be (-9)/(-21)*294/63. Find the third derivative of 33*d**z + 7*d**3 - 2 - 2*d**4 - 88*d**2 - 14*d**3 wrt d.
-48*d - 42
Let r(i) = 7*i**3 - 8*i**2 + 162*i + 1308. Let f(d) = -8*d**3 + 10*d**2 - 163*d - 1310. Let v(s) = -4*f(s) - 5*r(s). Find the first derivative of v(g) wrt g.
-9*g**2 - 158
What is the first derivative of -926 + 51*q + 880 - 15*q + 2*q**4 wrt q?
8*q**3 + 36
Let o(y) = 17*y**3 + y**2 + 4*y - 5. Let r be o(1). Find the first derivative of 145 + 19*g + 113 - 35*g + r*g + 77*g**2 wrt g.
154*g + 1
Suppose -w + 51 = 4*w - 3*i, -3*i - 27 = -3*w. Suppose z + 7 = f, 0 = 4*f - 3*f + 4*z - w. Find the second derivative of 11*v + 21*v + f*v**5 - 6*v**5 wrt v.
40*v**3
Let i(k) = -4*k + 16. Let o be i(3). What is the third derivative of 7*l**2 + 22*l**o - l**2 - 14*l**4 + 6*l**4 wrt l?
336*l
Let f(p) be the second derivative of 35*p**3/3 - 764*p**2 - 2446*p. Differentiate f(b) wrt b.
70
Let r(p) be the first derivative of -9*p**5/5 - p**4 + 59*p**3/3 - p**2/2 + 1015. Find the third derivative of r(t) wrt t.
-216*t - 24
Suppose 19 = -3*u - 2*u + 3*s, -u + 1 = s. Let a = 19 + u. What is the second derivative of -44*y**2 - 10*y**2 + a*y**2 - 23*y wrt y?
-74
Let u be (8 + 2)*(3 - 5/(-10)). What is the third derivative of u*f**2 - 23*f**2 - 49*f**5 + 74*f**2 wrt f?
-2940*f**2
Let m(w) = 6645*w**3 + 20563*w**2 - 153*w. Let z(x) = 3325*x**3 + 10282*x**2 - 68*x. Let r(i) = 4*m(i) - 9*z(i). Find the third derivative of r(a) wrt a.
-20070
Let o(f) = 2*f**2 + 18*f + 12. Let s be o(-9). Find the third derivative of 117*b**3 - s*b + b**2 + 22*b + 146*b**3 + 2*b**2 wrt b.
1578
Let x(q) = q**2 - 33*q - 102. Let w be x(37). Differentiate 69 + 398*f - 332*f + w with respect to f.
66
Let x(g) be the second derivative of -275*g**5/4 + 4383*g**2 - 3481*g. Differentiate x(c) with respect to c.
-4125*c**2
Let v(l) = -1321*l**2 - 14*l - 262. Let r(d) = 440*d**2 + 4*d + 80. Let s(u) = -7*r(u) - 2*v(u). What is the derivative of s(w) wrt w?
-876*w
Let z(v) be the second derivative of -901*v**6/10 + 5*v**3/6 - 80*v**2 - 157*v. What is the second derivative of z(q) wrt q?
-32436*q**2
Let k = 219 - 218. Let q(g) = 41*g**2 + 42. Let s(i) = i**2 + 1. Let t(n) = k*q(n) - 6*s(n). Find the first derivative of t(l) wrt l.
70*l
Differentiate -1430*f**3 + 156 - 820 - 638 - 744*f**3 with respect to f.
-6522*f**2
Suppose -7 + 19 = 2*h. What is the second derivative of -28 - 7*k**3 + h*k**3 + 31*k + 3*k**2 + 27 wrt k?
-6*k + 6
Let b(n) be the first derivative of -19*n**2 + 1509*n + 1556. Find the first derivative of b(i) wrt i.
-38
Let b(k) be the second derivative of -11737*k**5/20 - 2767*k**2 + 9175*k. Differentiate b(u) with respect to u.
-35211*u**2
Suppose -2*d = -7*i + 12*i - 10, 4*i = 0. Find the first derivative of -362 + d*a**2 + 81 + 74*a - 77*a wrt a.
10*a - 3
Let a be -7*(-32)/(-56)*2/(-4). Let b be ((-10)/(-4))/(4/2320*a). Find the second derivative of -b*i + 743*i + 1 - 1 + 13*i**2 wrt i.
26
Let p(h) be the third derivative of 0 - 7*h**2 + 47/24*h**4 + 0*h**6 + 0*h**7 + 1/112*h**8 + 0*h**3 - h + 0*h**5. What is the second derivative of p(v) wrt v?
60*v**3
Let j(n) be the third derivative of -4/3*n**3 + 17/120*n**5 + 7/12*n**4 + 9*n**2 + 0 + 0*n. Let q(v) be the first derivative of j(v). Differentiate q(y) wrt y.
17
Let g(q) be the third derivative of -851*q**5/20 - 25*q**4/24 - 41*q**3/6 + 38*q**2 - 11. Find the second derivative of g(x) wrt x.
-5106
Suppose -6*k = 6*k - 72. Find the third derivative of r**k + 5*r**5 - 79*r**2 + 39*r**2 - 54*r + 38*r**2 wrt r.
120*r**3 + 300*r**2
Let v(c) = c + 2. Let d(w) = 87*w - 70*w + 3 + 2. Let z(n) = -d(n) + v(n). What is the first derivative of z(o) wrt o?
-16
Let i(g) = 47*g**2 - 174*g - 6. Let f(d) be the first derivative of d**2 + d + 23. Let a(x) = 6*f(x) + i(x). Find the second derivative of a(z) wrt z.
94
Let j = -57 + 65. Let b(r) be the first derivative of -259 - 11*r**2 + 14*r + j*r + 278. Differentiate b(a) with respect to a.
-22
Let o be (-116)/16*(-1 + -3). Let y = o + -26. Find the second derivative of -4*i + 6*i - 6*i**3 + 17*i**y wrt i.
66*i
Let s(f) = 2622*f**3 - 2*f**2 - 590. Let g(d) = -2622*d**3 + 2*d**2 + 590. Let l(c) = 9*g(c) + 8*s(c). Find the third derivative of l(a) wrt a.
-15732
Let p be 1407/134*(2 - 2/7). What is the third derivative of -511*t**3 + 165*t**3 + 135*t**3 + 147*t**3 + p*t**2 wrt t?
-384
Let i(a) be the third derivative of 3*a**6/40 - 23*a**5/30 + 205*a**4/8 + 799*a**2. What is the second derivative of i(g) wrt g?
54*g - 92
Let p(r) = -1103*r**5 - 114*r**2 + 3*r + 4. Let f(b) = -2204*b**5 - 229*b**2 + 7*b + 9. Let q(a) = 4*f(a) - 9*p(a). What is the third derivative of q(k) wrt k?
66660*k**2
Let l(s) = 173*s**2 - 18*s - 2308. Let p(b) = -176*b**2 + 16*b + 2307. Let x(u) = 5*l(u) + 6*p(u). Find the first derivative of x(d) wrt d.
-382*d + 6
Let b = 652 + -557. Find the first derivative of -226*c**4 + b + 408*c + 404*c + 411*c - 1223*c wrt c.
-904*c**3
Suppose -16*c = -12*c - 32. Let f(d) = -2*d + 24. Let y be f(c). What is the second derivative of y*b**4 - 34*b - 20*b**4 - 21*b**4 wrt b?
-396*b**2
What is the third derivative of -9497*b**3 + 263671 - 3268*b**2 - 131835 - 1743*b**3 - 131836 wrt b?
-67440
Let j(i) be the second derivative of 103*i**4/4 + 145*i**2 + 8*i + 20. Differentiate j(p) with respect to p.
618*p
Find the third derivative of -3201*y**2 + 13071*y**6 + 1644*y**6 + 604*y**2 - 2536*y**6 wrt y.
1461480*y**3
Let m(c) = 1047*c**3 + 24*c**2 + 4*c - 1. Let a(d) = 7330*d**3 + 171*d**2 + 30*d - 7. Let l(u) = -2*a(u) + 15*m(u). What is the third derivative of l(r) wrt r?
6270
Let a(o) be the third derivative of -1/30*o**5 + 0 - 59/120*o**6 - 20*o**2 + 1/6*o**4 + 0*o + 0*o**3. What is the third derivative of a(y) wrt y?
-354
Let j(w) be the third derivative of -4*w**7/105 - 293*w**6/120 + 1777*w**5/12 + 3755*w**2. What is the third derivative of j(v) wrt v?
-192*v - 1758
Let k(m) be the first derivative of 181*m**7/7 + m**4/4 - 1201*m**3/3 + 874. Find the third derivative of k(a) wrt a.
21720*a**3 + 6
Let l(j) be the second derivative of -9*j**7/14 - 29*j**6/30 - 169*j**3/6 - 11*j - 87. Find the second derivative of l(b) wrt b.
-540*b**3 - 348*b**2
Let i(t) = -2*t**4 + t - 2. Let r(l) = 619*l**4 - 10*l - 1007. Let k(d) = 22*i(d) + 2*r(d). Differentiate k(b) wrt b.
4776*b**3 + 2
Find the second derivative of v**3 + 2708*v**2 - 212*v - 2708*v**2 - 57*v**4 wrt v.
-684*v**2 + 6*v
Suppose 0 = -157*g + 156*g + 15838. Find the third derivative of 235*m**5 + 31*m**2 + g*m**3 - 2 - 15838*m**3 wrt m.
14100*m**2
Differentiate -2*f + 0*f + f - 533*f**2 - 983 + 1035*f**2 - 871 with respect to f.
1004*f - 1
Let b(y) be the first derivative of -1765*y**4/2 - 595*y**3/3 - 4781. Find the third derivative of b(k) wrt k.
-21180
Let m(x) be the third derivative of 1741*x**6/40 - 3877*x**5/30 + 2*x**2 + 832*x - 1. What is the third derivative of m(n) wr
|
{
"pile_set_name": "DM Mathematics"
}
|
s**2 + 14398*s + 201309. Give g(-14).
-67
Let u(m) = 98*m**2 + 6555*m - 723. Give u(-67).
14
Let u(f) = -f**2 - 31882*f + 95644. Determine u(3).
-11
Let z(t) = t**3 - 203*t**2 - 424*t - 13. Determine z(-2).
15
Let h(d) = -d**3 + 360*d**2 - 978*d + 93790. Determine h(358).
-6
Let a(r) = r**3 - 29*r**2 + 153*r - 77. Calculate a(20).
-617
Let n(y) = -25*y**2 + 151*y - 62. Give n(6).
-56
Let d(h) = -2*h**3 - 28*h**2 - 136*h - 37. Give d(-14).
1867
Let m(t) = -210*t**2 - 9853*t + 623. Determine m(-47).
-176
Let w(u) = -6*u**2 - 1121*u + 13199. Determine w(12).
-1117
Let l(y) = -25713*y - 25711. What is l(-1)?
2
Let i(j) = 33*j**2 - 2064*j - 8760. Calculate i(-4).
24
Let d(i) = -i**2 - 31631*i - 505836. Determine d(-16).
4
Let q(k) = -3*k**2 - 14*k - 33. Determine q(-3).
-18
Let m(o) = -8876020*o - 79884180. Calculate m(-9).
0
Let k(b) = -57496*b - 517491. Calculate k(-9).
-27
Let n(z) = 7*z**2 + 813*z + 21603. Calculate n(-75).
3
Let p(n) = 63*n**2 + 3663*n + 86. Determine p(-58).
-436
Let k(y) = -y**3 + 9*y**2 - 358*y + 2106. Determine k(6).
66
Let o(s) = -s**3 + 8*s**2 + 528*s - 7533. Give o(15).
-1188
Let o(d) = -115*d - 9366. What is o(-85)?
409
Let p(u) = u**2 - 24*u - 421. What is p(44)?
459
Let m(u) = -u**3 + 17*u**2 + 145*u + 279. Determine m(20).
1979
Let c(j) = -j**3 - 158*j**2 + 478*j + 26. What is c(3)?
11
Let f(v) = 3*v**2 - 75397*v - 452342. What is f(-6)?
148
Let u(v) = 6*v**3 - 43*v**2 + 4192*v - 24931. What is u(6)?
-31
Let a(o) = -244*o**3 + 2418*o**2 - 5*o. Determine a(10).
-2250
Let u(p) = 3331*p - 7372. What is u(2)?
-710
Let b(c) = -c**2 + 726*c - 27448. What is b(40)?
-8
Let u(n) = -8*n**3 - 227*n**2 + 9077*n + 259026. What is u(-29)?
-2
Let t(g) = -183059*g - 2196709. Determine t(-12).
-1
Let t(x) = 389*x**2 - 2048*x + 125. Determine t(6).
1841
Let b(u) = u**3 + 74*u**2 - 126*u + 1994. What is b(-76)?
18
Let g(r) = 18*r**3 - 18*r**2 + 67*r - 49. Give g(1).
18
Let o(h) = -3*h**3 - 194*h**2 + 274*h + 549. Give o(-66).
-111
Let y(h) = h**3 + 34*h**2 + 115*h + 1358. What is y(-32)?
-274
Let b(m) = -992*m - 5372. Calculate b(-6).
580
Let y(g) = -43*g**2 - 1306*g - 3929. Give y(-3).
-398
Let k(r) = -4*r**2 - 95*r - 266. Determine k(-18).
148
Let n(p) = 6*p**3 + 3*p**2 + 74*p - 147. What is n(2)?
61
Let u(f) = -f**3 + 54*f**2 + 861*f + 126. Calculate u(67).
-544
Let z(p) = -p**2 - 358*p - 9972. Calculate z(-31).
165
Let y(m) = 17*m**2 - 297*m - 1479. What is y(-4)?
-19
Let v(o) = -o**3 + 181*o**2 - 1965*o - 62293. Calculate v(167).
-2
Let b(w) = 53*w**2 + 10678*w + 21152. Calculate b(-2).
8
Let c(y) = 60*y - 40. What is c(-18)?
-1120
Let c(x) = -17859*x - 53611. Calculate c(-3).
-34
Let i(r) = -22*r**2 - 5*r - 68. What is i(5)?
-643
Let t(b) = 6*b**3 - 4*b**2 + 11*b - 107. What is t(7)?
1832
Let b(y) = -246*y + 13205. Give b(52).
413
Let y(m) = m**2 + 725*m - 15635. Calculate y(21).
31
Let j(c) = 5262*c - 84142. Determine j(16).
50
Let d(b) = -5357*b + 626603. Give d(117).
-166
Let m(z) = z**3 + 44*z**2 + 169*z + 5498. Calculate m(-43).
80
Let d(i) = 57*i**2 - 4383*i - 481. What is d(77)?
-19
Let u(q) = -11732*q - 434085. Determine u(-37).
-1
Let u(d) = d**2 + 36106*d + 901724. Determine u(-25).
-301
Let h(d) = 211*d - 227717. Determine h(1079).
-48
Let f(u) = -1167*u - 771420. Calculate f(-661).
-33
Let n(c) = 495776*c - 1487332. Calculate n(3).
-4
Let v(f) = f**3 + 49*f**2 + 233*f - 299. Give v(-44).
-871
Let a(q) = 664*q - 20075. Calculate a(30).
-155
Let p(t) = 63*t**2 + 232*t - 12. Determine p(-4).
68
Let m(r) = r**3 + 116*r**2 - 201*r + 18848. Determine m(-119).
284
Let o(v) = -57*v - 6162. Determine o(-100).
-462
Let m(o) = 933*o + 32414. Give m(-35).
-241
Let j(q) = -76*q**3 + q**2 + 130*q - 259. Calculate j(2).
-603
Let w(x) = -118139*x + 1063270. Give w(9).
19
Let s(v) = -16*v**2 - 45*v - 911. Determine s(-12).
-2675
Let o(m) = 14*m**2 + 539*m - 7180. Determine o(-50).
870
Let k(p) = -50*p**2 + 86*p - 146. What is k(5)?
-966
Let u(b) = 117*b + 14225. What is u(-126)?
-517
Let b(g) = -g**3 - 61*g**2 + 1627*g - 147. What is b(20)?
-7
Let i(m) = -601*m + 72259. Determine i(118).
1341
Let q(b) = -3*b**3 + 2*b**2 + 18*b + 52. Give q(11).
-3501
Let y(d) = d**3 + 71*d**2 - 57*d - 13448. Give y(-69).
7
Let i(s) = 10*s**2 - 48*s - 360. What is i(-10)?
1120
Let a(n) = 4925*n - 4151771. What is a(843)?
4
Let c(b) = 109*b**3 + 1417*b**2 + 494*b + 6428. Give c(-13).
6
Let w(q) = 15*q**2 - 10609*q - 53126. Give w(-5).
294
Let c(n) = -632*n + 107430. What is c(170)?
-10
Let l(o) = -o**2 - 1013*o - 197705. What is l(-264)?
31
Let b(o) = -o**2 + 576*o - 5784. Calculate b(11).
431
Let c(z) = -308*z**2 + 51519*z + 51520. Calculate c(-1).
-307
Let n(o) = 771749*o + 771741. Determine n(-1).
-8
Let a(c) = -14*c + 2529. What is a(174)?
93
Let v(u) = -24*u**2 - 453*u - 1853. What is v(-6)?
1
Let c(h) = 162*h - 12888. Give c(79).
-90
Let r(h) = 282*h - 7107. Calculate r(30).
1353
Let u(i) = -3*i**2 - 292*i + 5018. Calculate u(-112).
90
Let v(t) = 62475*t - 62492. Calculate v(1).
-17
Let g(i) = -i**2 + 1121*i - 280028. Give g(376).
92
Let f(l) = 10*l**2 + 481*l - 4915. Calculate f(11).
1586
Let f(t) = 12477*t - 74914. What is f(6)?
-52
Let q(a) = 3*a**2 + 86*a - 922. Calculate q(-38).
142
Let v(q) = -5504*q + 33034. Determine v(6).
10
Let j(r) = -1056*r - 50718. Give j(-48).
-30
Let l(u) = -4*u**3 + 63*u**2 + 145*u - 1009. What is l(17)?
11
Let r(x) = 195*x**3 + 184*x**2 + 16*x + 3. Determine r(-1).
-24
Let z(f) = 100437*f + 401745. Calculate z(-4).
-3
Let g(y) = -y**3 + 22*y**2 + 527*y - 11314. Determine g(22).
280
Let w(n) = 4*n**2 - 6703*n - 53704. Give w(-8).
176
Let p(f) = 5843*f - 244106. Determine p(42).
1300
Let q(r) = -2152*r + 4310. What is q(2)?
6
Let s(v) = 254*v - 1077. Give s(11).
1717
Let w(x) = 51*x**2 + 41*x - 101. Calculate w(1).
-9
Let r(a) = -2*a**3 + 43*a**2 + 998*a + 54. What is r(-14)?
-2
Let o(i) = 2878*i - 31837. Determine o(13).
5577
Let t(q) = -5328*q - 47411. Calculate t(-9).
541
Let k(s) = 6*s**3 - s**2 - 7*s + 80. Give k(6).
1298
Let j(h) = 209265*h - 3138985. Determine j(15).
-10
Let h(o) = -o**3 + 76*o**2 + 474*o - 46089. Calculate h(74).
-61
Let x(u) = -260*u + 383. Give x(5).
-917
Let k(t) = -6*t**2 - 354*t + 4131. Determine k(10).
-9
Let z(r) = 65*r**2 - 1059*r + 1346. Give z(15).
86
Let u(n) = 9975*n + 169569. What is u(-17)?
-6
Let n(h) = -h**3 - 36*h**2 - 141*h + 69. Calculate n(-32).
485
Let b(k) = 3*k**3 - 11*k**2 + 2353*k - 11799. Determine b(5).
66
Let h(y) = -6*y**2 - 408*y - 1449. What is h(-64)?
87
Let d(j) = -j**2 - 3066*j + 15326. What is d(5)?
-29
Let j(m) = 9*m**2 - 627*m + 3652. Calculate j(6).
214
Let s(f) = 116*f - 6471. What is s(52)?
-439
Let s(a) = -63*a**2 + 10*a + 21. What is s(-1)?
-52
Let u(h) = 9*h**2 + 1621*h + 11176. Determine u(-7).
270
Let j(k) = -748*k - 44048. What is j(-59)?
84
Let q(x) = 106*x + 64541. Give q(-609).
-13
Let h(g) = -2*g**2 - 452897*g - 1358702. Calculate h(-3).
-29
Let l(n) = 79*n - 2458. Give l(16).
-1194
Let s(u) = -13847*u + 1218542. What is s(88)?
6
Let v(u) = u**3 - 7*u**2 - 23*u + 160. Calculate v(8).
40
Let w(c) = -25*c**3 + 12*c**2 + 2*c - 90. Calculate w(-3).
687
Let r(w) = -2*w**3 + 904*w**2 + 1810*w + 2707. Calculate r(454).
-17
Let y(n) = -n**3 - 38*n**2 + 126*n - 90. What is y(-42)?
1674
Let x(w) = -652*w + 195095. What is x(299)?
147
Let z(d) = 26*d**2 + 321*d + 1029. Give z(-4).
161
Let g(s) = -19504*s - 1970025. Determine g(-101).
-121
Let q(c) = c**3 - 124*c**2 - 205*c - 23539. Determine q(127).
-1187
Let g(a) = -a**3 - 13*a**2 + 37*a + 607. Determine g(-12).
19
Let v(q) = -68423*q - 10947667. Give v(-160).
13
Let y(f) = 19*f + 1310. Calculate y(-34).
664
Let f(i) = i**2 - 931*i + 10116. Give f(11).
-4
Let q(s) = 1509*s + 42403. Calculate q(-28).
151
Let o(b) = 3110*b - 27954. Determine o(9).
36
Let n(p) = p**3 - 25*p**2 + 80*p - 1357. Give n(24).
-13
Let a(g) = 29664*g + 177792. Calculate a(-6).
-192
Let s(u) = 14*u**3 + 35*u**2 + 11*u - 46. Calculate s(1).
14
Let r(m) = 3138*m - 106622. Give r(34).
70
Let x(c) = 3*c**3 - 593*c**2 - 360*c + 32046. What is x(198)?
-30
Let n(r) = r**3 + 92*r**2 + 716*r - 11194. What is n(-18)?
-106
Let h(n) = 59*n**2 + 973*n - 975. Calculate h(1).
57
Let b(t) = 3*t**2 - 23*t - 1890. What is b(-24)?
390
Let r(u)
|
{
"pile_set_name": "DM Mathematics"
}
|
terms in 72177187*r**3 + r**2 - 144354379*r**3 + 72177189*r**3 - r**2.
-3*r**3
Collect the terms in 488731*f**3 - 977464*f**3 + 488710*f**3.
-23*f**3
Collect the terms in 8539*j**3 - 16*j - 30629*j**3 + 16*j.
-22090*j**3
Collect the terms in 1657*j**2 + 1675*j**2 + 1658*j**2 + 1669*j**2 - 6642*j**2.
17*j**2
Collect the terms in 6742 - 6742 + 171*k - 173*k.
-2*k
Collect the terms in 16949*d**2 - 16949*d**2 + 2*d**3.
2*d**3
Collect the terms in b**2 - 124 - 2*b**2 - 170.
-b**2 - 294
Collect the terms in -37*c**2 - c**3 - 59*c + 59*c - 5*c**3 - 2*c**3.
-8*c**3 - 37*c**2
Collect the terms in 321 + 6*n**2 - 108 - 106 - 107 - 5*n**2.
n**2
Collect the terms in 131*y**2 - 25*y**3 - 75*y**3 - 134*y**2.
-100*y**3 - 3*y**2
Collect the terms in -829 - 833 + 24*w**2 + 1662 + 7*w**2.
31*w**2
Collect the terms in -11 + 27 - 6 + 89*i**2 - 10 - 7.
89*i**2 - 7
Collect the terms in 1 + 953*f**3 - 318*f**3 + 3*f**2 - 324*f**3 - 316*f**3 - 1.
-5*f**3 + 3*f**2
Collect the terms in -16 + v - 55 + 17 + 3*v.
4*v - 54
Collect the terms in 39*u - 15*u - 24*u - 1123*u**2.
-1123*u**2
Collect the terms in -2 + 9*a**3 - 4 + 16*a**3 - 12*a**3 + 5.
13*a**3 - 1
Collect the terms in -21*a**2 + 12*a**2 + 5*a**3 + 6*a + 4*a**2 + 5*a**2.
5*a**3 + 6*a
Collect the terms in -13*y + 22*y - 11*y - 32*y.
-34*y
Collect the terms in 5963*u + 5973*u - 11935*u.
u
Collect the terms in -517*n**2 + 180*n**2 - 3*n + 153*n**2 + 3*n + 151*n**2.
-33*n**2
Collect the terms in -17362*z**2 + 8658*z**2 + 7 + 8672*z**2 - 7.
-32*z**2
Collect the terms in -33 + 33 + 5*c + 256*c**2.
256*c**2 + 5*c
Collect the terms in 53 - 56156*k**3 + 56154*k**3 - 90 + 37.
-2*k**3
Collect the terms in 2*j - 6*j - 7*j**2 + 4*j + 0*j + 34*j**3.
34*j**3 - 7*j**2
Collect the terms in 4*h**2 - 38*h**2 - 57*h**2.
-91*h**2
Collect the terms in -182*k**2 + 460*k**2 - 203*k**2 - k.
75*k**2 - k
Collect the terms in 11*n**2 - 13 - 123*n**2 + 13.
-112*n**2
Collect the terms in 5 - 10*g - 3*g**2 - 6*g - 3*g - 3*g.
-3*g**2 - 22*g + 5
Collect the terms in -1100*h + 547*h + 4 + 543*h.
-10*h + 4
Collect the terms in -33*m**2 - 18*m**2 + 66*m**2 - 16*m**2.
-m**2
Collect the terms in 49878*j - 49878*j + j**2.
j**2
Collect the terms in 2*g - 16*g - 40*g + 11*g - 58*g.
-101*g
Collect the terms in -132*o + 676 - 674 + 1865*o.
1733*o + 2
Collect the terms in 44 + 2*q**2 - 17 - 27 + 29*q**2.
31*q**2
Collect the terms in 6*z**2 + z**2 - 6*z**2 - 11*z**2 - 14*z**2.
-24*z**2
Collect the terms in 15*q + 76*q + 9*q + 31*q.
131*q
Collect the terms in -79*h**2 - 35996*h - 30*h**2 + 9*h**2 + 35996*h.
-100*h**2
Collect the terms in -41*i - 42*i - 43*i + 147*i.
21*i
Collect the terms in -10*l**2 - 549131 + 1098265 - 549134.
-10*l**2
Collect the terms in -30*y + 185*y + 18*y - 7*y.
166*y
Collect the terms in -2*c - 7472 + 7472 - 3*c.
-5*c
Collect the terms in 34 - 16 - 13 - 12 - 5 + 2*n.
2*n - 12
Collect the terms in -83*k + 66*k - 31 + 18*k - 11.
k - 42
Collect the terms in 8*i + 14*i + 4*i + 6*i - 29*i.
3*i
Collect the terms in 2*c + 376 - c - 449 - 3773.
c - 3846
Collect the terms in 147*g**2 - 11*g**2 - 152*g**2.
-16*g**2
Collect the terms in -103983 + 207963 - 103980 + 7*d**3.
7*d**3
Collect the terms in 65*l - 80 - 71*l + 4.
-6*l - 76
Collect the terms in -8*t**2 - 4 - 29*t**2 + 38*t**2 + 4.
t**2
Collect the terms in -33 - 5*m + 111 - 84.
-5*m - 6
Collect the terms in -85 + 968*f - 968*f + 2*f**2.
2*f**2 - 85
Collect the terms in 2*y**2 + 861 + 9*y - 849 - y.
2*y**2 + 8*y + 12
Collect the terms in 2*g**3 + 1333*g**2 - 18*g**3 - 2674*g**2 - g + 1341*g**2.
-16*g**3 - g
Collect the terms in -2*k**2 - 2*k**2 + 938*k + 0*k**2 + 5*k**2.
k**2 + 938*k
Collect the terms in -203*y + 138*y**2 - 137*y**2 + 60*y.
y**2 - 143*y
Collect the terms in 7*o**2 - o**2 + 2 + 6*o**2 + 4*o**2.
16*o**2 + 2
Collect the terms in 48007188 + 172*f**3 - 48007188.
172*f**3
Collect the terms in -x**3 + 2*x**3 - 11442 + 11111.
x**3 - 331
Collect the terms in l**3 + 8691*l**2 - 4338*l**2 - 4353*l**2.
l**3
Collect the terms in 10*s + 3332 - 7*s - 3332.
3*s
Collect the terms in 723*f**3 + 720*f**3 - 2154*f**3 + 713*f**3.
2*f**3
Collect the terms in 2 - 31*k**2 - 6*k**2 - 45*k - 10*k**2 - 2*k**3.
-2*k**3 - 47*k**2 - 45*k + 2
Collect the terms in -2 - 7*a**2 - 28*a**3 + 6*a**2 + a - a.
-28*a**3 - a**2 - 2
Collect the terms in 251385*w**2 - 125698*w**2 - 125689*w**2.
-2*w**2
Collect the terms in -2*y - 11 - 19 + 25 - 131.
-2*y - 136
Collect the terms in 3*s**3 - 3625657328*s + 3625657328*s.
3*s**3
Collect the terms in -18*k - 18*k + 76*k - 21*k.
19*k
Collect the terms in -z + 5*z - 7 + 1 - 8 + 5.
4*z - 9
Collect the terms in 4*g**3 - 2 - g**3 - 8*g + g + 2.
3*g**3 - 7*g
Collect the terms in -2733*u**3 + 1340*u**3 + 1369*u**3.
-24*u**3
Collect the terms in 852*r**2 - 124 + 124.
852*r**2
Collect the terms in -526680*a + 1 + 263339*a - 1 + 263335*a.
-6*a
Collect the terms in 614222*s**2 - 1228448*s**2 + 614222*s**2.
-4*s**2
Collect the terms in -36*y**3 + 346*y**2 - 680*y**2 + 337*y**2 + 6 - 6.
-36*y**3 + 3*y**2
Collect the terms in 2*d**3 + d**3 + 6*d**3 - 3*d + 13*d**3 - 2*d**3.
20*d**3 - 3*d
Collect the terms in 16*h**2 - 3*h**3 + 374 - 16*h**2 + 53.
-3*h**3 + 427
Collect the terms in 5*n**2 + 1798 - 1156 - 642.
5*n**2
Collect the terms in -174*l**2 + 442*l**3 + 174*l**2.
442*l**3
Collect the terms in -11*b + 0 + 15*b + 20*b - 1.
24*b - 1
Collect the terms in -1112*c - 11*c**3 + c**3 + 1103*c.
-10*c**3 - 9*c
Collect the terms in 234*p**3 - 47*p**3 + 26*p**3 + 3*p**2.
213*p**3 + 3*p**2
Collect the terms in -13581*d**3 + 35942*d**3 - 22362*d**3.
-d**3
Collect the terms in -3 + 3 - 92730*z**2 + 92730*z**2 + 2*z**3.
2*z**3
Collect the terms in 0*x**2 + 9*x + 4*x**2 - 34*x + x**2 + 2*x**2.
7*x**2 - 25*x
Collect the terms in 21 - 22*g + 435 + 11*g + 9*g.
-2*g + 456
Collect the terms in 14725*c**2 - 14721*c**2 - 2 + 2.
4*c**2
Collect the terms in -113124*l**2 + 226240*l**2 - 113111*l**2.
5*l**2
Collect the terms in 2*z**3 - 2*z**3 - 38*z**2 - 25*z**3.
-25*z**3 - 38*z**2
Collect the terms in -6*t - 7*t - t + 3*t - 2*t.
-13*t
Collect the terms in -68*b**3 - 3*b + 3*b + 58*b**2 - 81*b**2 + 69*b**3.
b**3 - 23*b**2
Collect the terms in 4*h + 17810 - 17810.
4*h
Collect the terms in 10*i + 95783 - 95783.
10*i
Collect the terms in 2 - 6 + 4 + 2*d**2 + 107*d.
2*d**2 + 107*d
Collect the terms in -9726*x**2 + 9726*x**2 - 14*x**3.
-14*x**3
Collect the terms in -16*w + 10*w - 7*w - 15*w + w.
-27*w
Collect the terms in -2163*p**2 + 4243*p**2 - 2036*p**2.
44*p**2
Collect the terms in 1454*p**3 - 644*p**3 - 885*p**3.
-75*p**3
Collect the terms in 1497*p**3 - 45*p**3 - 1456*p**3.
-4*p**3
Collect the terms in -13051 + 10*w + 13051.
10*w
Collect the terms in -49512*w + 21259*w - 16878*w.
-45131*w
Collect the terms in 74517*q**2 - 74517*q**2 + 6*q**3.
6*q**3
Collect the terms in -4796*d - 807 + 807.
-4796*d
Collect the terms in 237*a - 99*a - 73*a - 94*a.
-29*a
Collect the terms in 400*h**2 + 403*h**2 - 1194*h**2 + 402*h**2.
11*h**2
Collect the terms in -6*c**2 + 324*c**3 - c**2 + 7*c**2 + 295*c**3 - 615*c**3.
4*c**3
Collect the terms in -17*o - 17*o + 84*o + 217*o.
267*o
Collect the terms in 18*b + 12*b + 19*b - 63*b + 4*b + 14*b.
4*b
Collect the terms in -8 - 16 + 38 - 27 - r**2.
-r**2 - 13
Collect the terms in -301*v + 139*v + 140*v.
-22*v
Collect the terms in 2601439 + 4*q - 2601439.
4*q
Collect the terms in -327 - k**3 + 350 - k**3.
-2*k**3 + 23
Collect the terms in 2*l + 4 - 3 + 159*l - 4*l.
157*l + 1
Collect the terms in 420*a**2 + 289*a**2 - 52*a**2.
657*a**2
Collect the terms in 1040 - 1040 - 3379268*d + 3379266*d.
-2*d
Collect the terms in -w - 8*w + 7*w - 5*w + 55*w.
48*w
Collect the terms in 42*t + 63*t + 60*t + 62*t - 254*t + 31*t.
4*t
Collect the terms in -2900*g - 12*g**2 - 5*g**2 + 2900*g + 4*g**2.
-13*g**2
Collect the terms in -69*z - 90*z - 15*z**2 + 2*z**2 + 159*z.
-13*z**2
Collect the terms in 6*x - 15614138*x**3 + 15614136*x**3 - 6*x.
-2*x**3
Collect the terms in 346*l + 345*l + 347*l - 1039*l.
-l
Collect the terms in -8*r - 81*r - 16*r - 8*r.
-113*r
Collect the terms in 734*i**2 - 1474*i**2 + 729*i**2.
-11*i**2
Collect the terms in -5 + 0 + 353*a**2 + 6 + 119*a**2 + 48*a**2.
520*a**2 + 1
Collect the terms in 20*g**2 - 798*g - 8*g**2 + 12*g**2.
24*g**2 - 798*g
Collect the terms in 0 - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
9. Is 9 a factor of x?
True
Let z(o) = o**3 - 5*o**2 + 4*o - 4. Is z(5) a multiple of 6?
False
Let w = 1 - -2. Suppose 0 = -w*q + 4*s + 23, -q + s - 3 = -2*q. Suppose q*o = -5*z + 15, -38 = -5*o + 4*z + 13. Is 7 a factor of o?
True
Suppose -2*q + f = -f - 64, 0 = -5*f. Does 30 divide q?
False
Let h(r) = -19*r - 1. Let t(s) = -9*s. Let f(w) = -2*h(w) + 5*t(w). Is f(-4) a multiple of 17?
False
Suppose 3*g - 2*i = -0*g + 343, 3*i = 5*g - 573. Suppose g - 5 = 4*m. Is m a multiple of 7?
True
Does 10 divide (-2 - 46/(-1))/((-5)/(-10))?
False
Let d be (4/(-4))/(1/6). Is 4 a factor of -2*d/((-3)/(-1))?
True
Suppose 2*q - 7*q = -145. Let x = q - 2. Does 7 divide x?
False
Suppose -58 = -2*l + l. Is 35 a factor of l?
False
Suppose -2*t + t - 373 = -3*d, -2*d + 5*t + 266 = 0. Suppose -d = -2*y + 181. Suppose 3*q - 5*w - 98 = 0, -3*w + y = 8*q - 3*q. Does 12 divide q?
False
Let i = -50 - -109. Is 17 a factor of i?
False
Let o(f) = -f - 2. Let z be o(-4). Suppose 0 = z*y + y - 6. Suppose y*l = -0*l + 22. Is l a multiple of 11?
True
Let n be 0/(-1) - (1 + -6). Suppose -3*g + 0*g - n*c = 16, -4*c - 8 = 0. Let i(o) = -9*o**3 + o**2 + 2*o + 3. Is i(g) a multiple of 26?
False
Suppose -4*a - 42 = 3*g, 0*a - 2*a - g = 20. Let b = -11 + a. Let f = b + 28. Does 7 divide f?
False
Let c = 42 + 54. Is 17 a factor of c?
False
Let t = -4 - -8. Suppose -14 = -4*y + 2*y + 2*m, 0 = 5*m + 25. Suppose 36 = y*h - 0*h - 3*b, -4*b = -t*h + 64. Does 12 divide h?
True
Suppose 5*k + 101 = 2*g, 3*g = 2*k + 163 - 28. Suppose -2*p - 3*z + g = 0, p + 2*p - 3*z = 27. Is 7 a factor of p?
True
Let p = -6 - -1. Let z = 0 - p. Is 5 a factor of z?
True
Suppose -4*m - 5*g + 307 = 0, 2*m + 2*g - 115 = 41. Does 13 divide m?
False
Suppose -3*f + s - 259 = -4*f, -1 = -s. Does 8 divide f?
False
Let o = 216 + -72. Is o a multiple of 16?
True
Let q = 7 - -3. Suppose -3*i = 2*i + q, 4*z = -2*i + 92. Is 12 a factor of z?
True
Suppose -k + 99 = -0*j - 3*j, -3*k - 3*j + 249 = 0. Is 29 a factor of k?
True
Let p be 0 - -2*(-3)/(-6). Is 12 a factor of ((-10)/6)/(p/(-18))?
False
Suppose -30*o + 33*o - 36 = 0. Is o a multiple of 2?
True
Let a be -1 + 19 - (-12)/6. Let y = a + 0. Is y a multiple of 15?
False
Suppose 6*i - 4*i - 8 = 0. Let s(x) = -x**3 + 9*x**2 - 3*x - 3. Let a(m) = m**2 - m. Let w(l) = -5*a(l) + s(l). Is 2 a factor of w(i)?
False
Let g(w) = 4*w**2 + 15*w + 16. Is 16 a factor of g(-5)?
False
Let g be 3 + 2 - (1 - -1). Let k be ((-4)/g)/(5/(-15)). Suppose 0*i = k*r - 2*i - 44, r = -i + 8. Does 10 divide r?
True
Suppose 0 = 4*f + 12, 2*j - 42 = -2*j - 2*f. Let z = j + -19. Let a(b) = -b**3 - 7*b**2 - 3*b - 6. Is 9 a factor of a(z)?
False
Let z = 5 + 91. Is 16 a factor of z?
True
Let v(d) = -d**2 - 12*d - 7. Is 28 a factor of v(-7)?
True
Suppose -5 = -x + b, -5*x - b + 25 = -x. Let n = x - 2. Suppose n*j = j + 54. Is 15 a factor of j?
False
Let z(o) = 3*o**2 + 4*o + 4. Let x(p) = -1. Let j(q) = -q + 6. Let n(m) = j(m) + 6*x(m). Let u be n(4). Does 13 divide z(u)?
False
Suppose 6 = 4*i - 2. Is i a multiple of 2?
True
Let t be (-2 - 2)/((-4)/186). Suppose 2*j = 5*j - t. Suppose 4*l + j = 206. Is 20 a factor of l?
False
Suppose 316 = 2*u + 2*u. Is u a multiple of 30?
False
Let g = -15 - -87. Is g a multiple of 9?
True
Let i(g) be the first derivative of 1 + 35/2*g**2 - g. Is 20 a factor of i(1)?
False
Let b = 233 - 165. Does 17 divide b?
True
Let w(r) = r**3 + 5*r**2 - 2*r + 3. Suppose -2*x = 9 + 1. Let b be w(x). Let v = 32 - b. Is 11 a factor of v?
False
Let c = -2 - -5. Suppose 0*d = -c*d + 153. Is 17 a factor of d?
True
Suppose -658 = 2*s - 9*s. Does 12 divide s?
False
Let v(h) = -8*h - 12. Is 12 a factor of v(-6)?
True
Suppose 1 = 3*c - 2*d - 20, 3*d - 28 = -4*c. Does 7 divide c?
True
Suppose -3*w + 1 = -l, -5*w + 2*l = -0*w. Let p be ((-570)/20)/((-3)/4). Suppose u - 1 + p = w*o, -3*o = 2*u - 45. Does 17 divide o?
True
Let l = 10 + -4. Let v = l - -7. Is v a multiple of 12?
False
Let a(q) = -q**3 + 5*q**2 - 4*q + 6. Let d be a(4). Does 8 divide ((-2)/d)/((-1)/30)?
False
Let y(t) = -t**3 - 3*t**2 + 3*t - 3. Let i be y(-4). Suppose 6 - i = n. Is n even?
False
Let x = -38 + 53. Is 15 a factor of x?
True
Does 29 divide 9/6*116/6?
True
Let n be -1 - 1/(2/(-290)). Suppose 0*y = -4*y + n. Is y a multiple of 14?
False
Let v(c) be the first derivative of 2*c**2 - c + 2. Let g be v(-2). Let f = -4 - g. Is f a multiple of 5?
True
Suppose -4*j = -2*d - 12, 4*d + 2 = j - 1. Let l = 17 - 15. Suppose -5*g + 111 = -j*v - 69, 0 = l*v. Is 17 a factor of g?
False
Let v(d) = -d**2 + 10*d - 1. Let j be v(8). Suppose -4*n + j + 5 = 0. Suppose 65 = 3*f + n*p, 0*f - f + p = -27. Does 18 divide f?
False
Suppose m - 4 = 1. Suppose -u - m*o + 20 = 4*u, -3*u - 5*o = -12. Is u a multiple of 3?
False
Let o(p) = -p**3 + 6*p**2 + 3*p - 3. Let x be o(6). Suppose -2*k = k - x. Is 3 a factor of k?
False
Is 36/(-12) - 51/(-1) a multiple of 6?
True
Let j = 41 + 28. Does 11 divide j?
False
Is (-24)/(-2 - 15/(-12)) a multiple of 6?
False
Suppose n + 3*m - 4 - 11 = 0, -10 = 3*n - 2*m. Suppose 0 = 3*u - n*u - 114. Suppose -3*b + u = -49. Is b a multiple of 17?
False
Let c(a) = a**2 + 6*a - 2. Let t be c(-7). Suppose 5*h = t*i - 2*i + 35, 3*h - 2 = -2*i. Does 4 divide h?
True
Let m be 1/1 - 15/1. Is m/(-4) - 2/(-4) even?
True
Let y(t) = -22*t + 4. Let g be y(-3). Let a = -43 + g. Let l = -18 + a. Is 3 a factor of l?
True
Let a = -12 - -46. Let r = a - -8. Is r a multiple of 17?
False
Let m(l) = -14*l - 6. Let v(s) = 28*s + 13. Suppose z + 3*x = 12, 0*x + 10 = 3*z - 4*x. Let a(f) = z*v(f) + 13*m(f). Does 14 divide a(-1)?
True
Let y(u) = 132*u**3 + u**2 - 2*u + 1. Does 31 divide y(1)?
False
Let t = 328 - 196. Does 33 divide t?
True
Let x(f) = f**2 + 6*f - 1. Suppose 0 = 3*g + 2*g + 5*t, -t - 8 = -g. Is x(g) a multiple of 13?
True
Is 15 a factor of (-1 - 2) + 24*2?
True
Let i(s) = s**2 - s - 3. Let r be i(3). Suppose 0 = -5*j + r*x + 76, x + 25 = 4*j - 33. Is j a multiple of 14?
True
Let u = -12 + 24. Suppose -u = 6*m - 2*m. Is 2/(m/((-27)/6)) a multiple of 2?
False
Let q = 10 + -8. Suppose -2*r + 16 = -q*t, 9 = r + t - 7. Does 12 divide r?
True
Is 18 a factor of (2 - (-1566)/30) + (-2)/10?
True
Let g(f) = 3*f**2 + 5*f - 4. Is g(-4) a multiple of 12?
True
Suppose 3*c - 155 = -2*i, -5*i + 3*c = -c - 330. Suppose i = x - 0*x. Suppose -4*r - x = -6*r. Is r a multiple of 23?
False
Let f(u) = -u. Let m(b) = 16*b - 2. Let i(t) = -6*f(t) - m(t). Is 18 a factor of i(-4)?
False
Let w(o) = -35*o + 4. Does 13 divide w(-1)?
True
Suppose 6 = i + 1. Suppose -d + 1 = -2*g - g, i*g + 13 = -4*d. Let u = d + 36. Is 17 a factor of u?
True
Let h(i) = -i**2 + 4*i + 3. Let s be h(-3). Let g = 6 + -11. Let y = g - s. Is 6 a factor of y?
False
Suppose 132 = 3*b + 42. Let f be ((-6)/9)/((-4)/b). Suppose -f*i + 20 = -i. Does 3 divide i?
False
Let h = -16 + 23. Is 11 a factor of (h + -2)*(-308)/(-35)?
True
Let s = -13 + 27. Is s a multiple of 13?
False
Suppose -2*o = 3*o + 15. Is ((-324)/(-63))/(o/(-14)) a multiple of 10?
False
Let x(q) = -q**2 + 8*q + 40. Does 7 divide x(8)?
False
Suppose -k + 3*k = 48. Let d = k - -46. Suppose -5*j + d = 2*t, -t = 4*j - 19 - 37. Does 7 divide j?
True
Let c be 15/3 + 3 + -6. Suppose 2*y - 1 = 3. Suppose y*a = -c, 4 = 4*u - 3*a - 35. Is 9 a factor of u?
True
Let x(b) = b**2 + 6*b - 6. Does 33 divide x(9)?
False
Suppose -60 - 1 = b. Let t = 146 + b. Suppose -2*q - 3*q + t = 5*k, q = 0. Is k a multiple of 15?
False
Let m(z) = 9*z - 6. Suppose -8*q = -4*h - 4*q, q + 20 = 5*h. Is 13 a factor of m(h)?
True
Let t be 8*(-4 + (5 - 2)). Let i(f) = -f**2 - 8*f + 5. Let g be i(t). Suppose 0 = 3*m - 0*m - 9, -g*j + 81 = 2*m. Does 6 divide j?
False
Suppose 16 = i - 26. Is 7 a factor of i?
True
Suppose -4*z - 513 = -1333. Does 41 divide z?
True
Suppose 0*w + 2*w = 6. Suppose -w*a = a - 48. Suppose -4*l - a = -44. Is l a multiple of 5?
False
Suppose -4*k + 4 = -2*k, 96 = 2*q - 4*k. Does 10 divide q?
False
Suppose 3*x = -5*q + 129, 15 = x + 3*q - 32. Is 17 a factor of x?
False
Let f = -3 - -5. Let x be (1 + -7)*(f - 3). Does 2 divide (1/(2/x))/1?
False
Let b(f) = f**2 - 2*f - 3. Let k be b(4). Suppose -i - y = -5*i + 105, -k*i + 4*y = -134. Does 13 divide i?
True
Suppose 3*t - 174 = 3*q, 0 = -4*t + 2*q - 3*q + 207. Suppose o - 2*o = -t. Does
|
{
"pile_set_name": "DM Mathematics"
}
|
d - 5*w, 2*w + 19 = 4*d - 33 for d.
13
Solve -5*a + 2*s = 61 - 110, -42*a + 42*a - s - 2 = 0 for a.
9
Solve t = 9*x + 24, 9*t - 20 = -5*x + 4*t for x.
-2
Solve 0 = 169*y - 165*y - 20*f + 108, -6*f = 3*y - 45 for y.
3
Solve -22 = -2*m + 4*l, -7*l + 343 = -4*m + 384 for m.
5
Solve -4*g + 4*a - 4 = 0, 12194*g - 12198*g - 2*a = -20 for g.
3
Solve -17*c = -2*f + f - 16*c - 2, 5*c = -0*c for f.
-2
Solve 3*p + 33*m - 38*m + 48 = 0, p - 7 = -6*m for p.
-11
Solve -2*p + 50 = 3*d, 0 = -43*d + 38*d - p + 74 for d.
14
Solve -6*g = 9*m - 7*g + 9, 3*g = -m - 1 for m.
-1
Solve -288*m - 2*o = -285*m - 13, 5*o + 30 = 5*m for m.
5
Solve 3*w - 30 = 4*o - 37, 4*o - 4 = 4*w for o.
4
Solve -1 = -y + 18*t - 14*t, 0 = -4*y - 3*t - 15 for y.
-3
Solve -3*y = 4*u + 41, 5*u = -29*y + 30*y - 18 for u.
-5
Solve -2*u - v - 2 = 0, 3*u - 250*v = -122*v + 256 for u.
0
Solve -5643*y + 5646*y = 9, 5*d = -y + 43 for d.
8
Solve -3*a + 41 = -2*j + 52, 5*j + 3*a + 4 = 0 for j.
1
Solve -3*y = -5*p - 73, -4*p = 4*y - 88 + 12 for p.
-2
Solve 4*o - 5*j + 36 = 0, -4*o + 4*j + 1022 - 1054 = 0 for o.
-4
Solve -5*o = -2*b - 21, -17*b + 22*b + 2*o = 20 for b.
2
Solve 0 = -5*d + 20, -7*b - 26*d = -23*d + 16 for b.
-4
Solve 5*a - h = 26, -18*h + 21*h = 26*a - 133 for a.
5
Solve 18 = -3*q, -5*q - 502 + 487 = -5*l for l.
-3
Solve 5*t + 6 = -q, -10*q - 4*t - 6 = -8*q for q.
-1
Solve -3*y + 3 = 3*a, 539*a - 534*a - 5 = 2*y + 28 for a.
5
Solve 2*o - 5*k + 59 - 33 = 0, -4*o = -3*k + 38 for o.
-8
Solve 682*w - 2*p = 675*w - 15, w + 15 = -4*p for w.
-3
Solve 4*c = -2*l - 14, 7*l = 3*c + 3*c - 29 for c.
-1
Solve -4 = -r, -r = 1558*z - 1563*z - 104 for z.
-20
Solve 146*a + 15 = 150*a + 3*x, -5*x + 25 = a for a.
0
Solve 0 = 5*f + 50, 52*j + 3*f + 15 = 49*j for j.
5
Solve 4*a = 58*k - 54*k - 24, 3*k = 8 + 13 for a.
1
Solve 4*i = 2*v - 12, 3*i + 2*i + 7*v = 23 for i.
-1
Solve 62 = -483*q + 481*q, -2*h = q - 0*q + 25 for h.
3
Solve -70 = -20*v + 11*v - 5*m, -5*v + 5*m = 0 for v.
5
Solve -r + 6*x = -10, 25233*r - 25235*r - 5*x = 14 for r.
-2
Solve 12*v - 17*v + 20 = 3*z, 0 = -11*z - 5*v + 60 for z.
5
Solve 20*g - 24*g - 8 = -5*y, -10 = 2*y + 5*g for y.
0
Solve -245*j = q - 240*j + 35, 11*q + j + 61 = 0 for q.
-5
Solve 18 = -5*p + s, 0 = -4*p + 4*s - 4085 + 4093 for p.
-5
Solve 2*b + 15 = -5*o, -36*o + b + 20 = -41*o for o.
-5
Solve 2*q + 24*r = 23*r - 7, -12 = 5*q + 2*r for q.
2
Solve 2*o = -5*l + 9, -9*l + 6 - 7 = -2*o - 6 for l.
1
Solve -91 = 11*q + 5*t, -2*q + 19*t - 15*t + 8 = 0 for q.
-6
Solve -11*o + 4*x = -62, -62*x = -o - 57*x + 1 for o.
6
Solve -m + 38 = 7*k, 525*m - k - 5 - 1 = 528*m for m.
-4
Solve -4*r + 4 = 4*l, 5*l + r + 2*r = -61 + 56 for l.
-4
Solve 0 = -5*o + 7*u - 43, 0 = -9*o + 7*o + 3*u - 18 for o.
-3
Solve -3*n = -5*q + 20, -8*q - 4*n = -4*q - 4*q - 6*n for q.
4
Solve 28*q + 30 = 3*c + 25*q, 4*c - q - 25 = 0 for c.
5
Solve -31 = -3*o + 4*u, -4228*o = -4225*o + 3*u - 3 for o.
5
Solve -4*o - 7*v = -35, -7*v = -5*o - 12*v + 25 for o.
0
Solve -4754*v + 4753*v = -7, 3*v - 2*v + 3 = -q + 9 for q.
-1
Solve 15*k = -3*x - 65 + 26, 2*x - 7 = k for k.
-3
Solve 3*i - 241 = -3*h - 304, 0 = -4*h + i + 11 for h.
-2
Solve -1242*d = -1244*d - 2*g + 12, 3*d - 3*g + 30 = 0 for d.
-2
Solve -2*c = 2, -2*z + c = 16 - 33 + 22 for z.
-3
Solve -3*i - 196*l + 193*l - 9 = 0, -5*i = 2*l + 6 for i.
0
Solve 1 = 4*g - s, -46*s + 40*s + 18 = 0 for g.
1
Solve -6*j = -3*p - 20 - 4, -3*p + 6 = 0 for j.
5
Solve -2*o = 5*h - 7 - 3, -6*h = -o - 12 for h.
2
Solve -5*j = 100, -134*a + 53 = -137*a - 2*j + 1 for a.
-4
Solve 5*d - 15 = x, -5*d = -3*x - 2*x - 104 + 89 for x.
0
Solve -d + q = -3*d - 1, -4*q = 3*d + 19 for d.
3
Solve d - 5*z + 9*z + 16 = 9*z, 0 = d - z for d.
4
Solve 5*j - 2*u + 317 - 333 = 0, 0 = -u - 3 for j.
2
Solve c - 5 = 5*i, -427*i = -429*i + 5*c - 25 for i.
0
Solve 0 = -3*i - 5*x + 27, -333 + 333 = -4*x for i.
9
Solve -154*f - t - 4 = -153*f, -5 = -5*t for f.
-5
Solve -514*g + 17 = -4*l - 519*g, 0 = -4*l - 4*g - 12 for l.
2
Solve 8 = -i + 4*t, 0 = -103*i + 126*i + 4*t + 88 for i.
-4
Solve 3*j + 26 - 10 = -n, 3*j - 5*n = -10 for j.
-5
Solve -2*j - 14*m = -11*m + 27, 7*j = 3*m for j.
-3
Solve 0 = 5*q + 17*t - 96, 5596*q = 5597*q + t - 12 for q.
9
Solve -5*k - 40 = 5*p, -2*p + 200 = -3*k + 186 for k.
-6
Solve -3*h + 3*g - 3 = 0, 8200*h = 8202*h - 3*g + 7 for h.
4
Solve 5*o + 619 - 669 = -5*x, 5*x - 29 = -2*o for o.
7
Solve -35 = -7*c, -4*f - 23 - 17 = -4*c - 4 for f.
-4
Solve c - 221*a + 217*a + 3 = 0, -16*c - 48 = -4*a for c.
-3
Solve z = 2*o - 10, 0 = -3*z + 9770*o - 9774*o + 20 for z.
0
Solve 33*d - 15 = -5*a + 30*d, 5*d = -2*a + 25 for a.
0
Solve 3*z = 5*o - 8, -3*o + 2*z + 17 = 13 for o.
4
Solve -415*n = -416*n - 4*s + 6, -5*s = -6*n + 65 for n.
10
Solve 0 = 4*v + 4*t - 14 + 6, -3*v + 5*t + 6 = 0 for v.
2
Solve 390*o = -5*k + 394*o, 0 = 5*k + 5*o - 0*o for k.
0
Solve 2*r + 5*a - 1 = 0, 0 = -r + 4*a + 53 - 33 for r.
8
Solve -4*o - 45 = -2*t - 77, 2*t - 9*o = -77 for t.
2
Solve 377*z = -h + 378*z - 8, 4*z = h + 14 for h.
-6
Solve 2*g = -8, 21*y - 44*y - 5*g = -27*y + 12 for y.
-2
Solve 0 = 4*o + 20, 13*w + 13*w - 5*w - 8*o = -65 - 42 for w.
-7
Solve -2*k + 573 = -2*d + 581, 3*k = -2*d - 22 for k.
-6
Solve 499 = m + 5*f + 514, 23 = -3*m - 4*f for m.
-5
Solve -3*u - 24*b + 26*b = -26, -b = 2*u - 8 for u.
6
Solve -38*p = -40*p + 10, -6 = -4*w - 2*p for w.
-1
Solve 0 = 9*r + p - 2, -25*p + 28*p - 6 = -r for r.
0
Solve -33*p = -2*t - 29*p + 26, -3*p = -2*t + 21 for t.
3
Solve -5*x = -t + 7, 3*x - 23*t = -27*t + 28 for x.
0
Solve 2*q + k = 11, -8256*q + 3*k = -8257*q + 8 for q.
5
Solve -41*b + 2 = -j - 42*b, 5*j + 3*b = -12 for j.
-3
Solve u + a + 5 = 0, 2*u + 451*a - 446*a + 16 = 0 for u.
-3
Solve -2*s - 23 = 5*f, -61*s - 35*f - 171 = -57*s for s.
1
Solve 2*o + 3*j + 10 = 0, -268*j - 16 = 4*o - 264*j for o.
-2
Solve -26 + 10 = -5*y + 3*o, -2*o - 9 = -3*y for y.
5
Solve -3 = -f, -4*c + 7*f - 3 - 2 = 12*f for c.
-5
Solve 5*b + 2 = -2*n, 3*n + 5*b = -138 + 140 for n.
4
Solve 4*z + 28 = -2*n, 4*z - 22 = 2*n + n for n.
-10
Solve -i = o, 2*o + 2 = 665*i - 668*i for i.
-2
Solve 4*b - 10 = 2*k, 3*b - 12 + 8 = 4*k - 9 for k.
5
Solve -4*m + 2*c + 2 = 0, 11*c - 15*c = m + 4 for m.
0
Solve 5*f + 40 - 27 = 3*h, 9 = -h - f for h.
-4
Solve 4*y + 70*u = 71*u - 18, -y - 2*u = 0 for y.
-4
Solve 5*g - 21*s - 22 = -23*s, -5 = -5*s for g.
4
Solve 0 = -7*y - r + 13, -5*y - 1245*r + 7 = -1242*r for y.
2
Solve -9*z + 31 = x, 0 = 2*z + x + 15 - 18 for z.
4
Solve 6 = s - 4*f, 0 = 28*s - 24*s + 5*f + 18 for s.
-2
Solve 0 = w - 2*t - 6, 7*w - 3*t - 16 + 18 = 0 for w.
-2
Solve 2*v - 2 = 0, 7*u - 21 = 3*u + 3*v for u.
6
Solve -3*n = 2*n + 708 - 693, 0 = -2*h - 2*n - 22 for h.
-8
Solve 2*q - 3 = -5*j, 24*j + 6 = q + 22*j for q.
4
Solve 0 = 5*f + 236*s - 239*s + 27, 5*f + 4*s = 1 for f.
-3
Solve 6 - 3 = -c - g, 5*c + 4*g = -16 for c.
-4
Solve -2*c = -11*r + 14*r - 21, 3*c - 74 = -13*r for c.
3
Solve 2*t - 34 = 7*r - 56, -t + 2*r - 5 = 0 for t.
3
Solve p - 2*s = -9, -2 = 2*p + 458*s - 454*s for p.
-5
Solve 693 - 685 = -2*r, 10*r = -2*w - 62 for w.
-11
Solve 4*o + 4 = -4*j, -1765*j - o - 11 = -1769*j for j.
2
Solve -5*v + 553*s - 20 = 554*s, -2*v + 4*s = 30 for v.
-5
Solve 5*u = -686*i + 685*i + 44, -7*u + i = -64 for u.
9
Solve 2293 = b + 2294, -3*a + 5*b = 28 for a.
-11
Solve 0 = 2*z + 2*b + 4, -4*z + 624*b - 623*b + 12 = 0 for z.
2
Solve -116*u + 121*u - 4*l + 50 = 0, -4*l = 14*u + 64 for u.
-6
Solve -3*i + 38 = 20, 0 = -23*y + i + 63 for y.
3
Solve -2*z = -5*m - 16, 3*z + 252*m - 13 = 254*m for z.
3
Solve -6*x + 10*x - k + 16 = 0, -4 = 4*x - 4*k for x.
-5
Solve -159*f = g - 161*f - 3, -36 = -12*g - 5*f for g.
3
Solve -15*o + 3*u = -10*o - 20, 4*u = 2*o - 8 for o.
4
Solve 5*y = -4*u - 23, -3*y + 8*y = -1199*u + 1197*u - 29 for y.
-7
Solve 10*a - 5*a = 20, -10*s + 80 = -5*a for s.
10
Solve 3*m + 3*z = -81, -132*z + 128*z - 100 = 2*m for m.
-4
Solve 5*l - 2*o - 31 = 0, -71 = -5*l + o - 38 for l.
7
Solve 4*w + 3*m = -1, -137*w = -141*w + 5*m - 9 for w.
-1
Solve 16 = 4*p, 4*g + 192 - 176 = 4*p for g.
0
Solve -5*p + 3 = 86*v - 87*v, 2*p - 8 = -3*v for v.
2
Solve -4*c = -3*o + c - 5, -31*o + 60*o = 2*c - 2 for o.
0
Solve 2*a + 16*n = 11*n + 26, 2*a = -n + 2 for a.
-2
Solve 1887*c = -4*n + 1884*c + 8, -2*n + c - 6 = 0 for n.
-1
Solve 0 = -5*j +
|
{
"pile_set_name": "DM Mathematics"
}
|
u: 3, i: 3}?
3/14
Two letters picked without replacement from wppwppwwwppwwppp. Give prob of picking 2 p.
3/10
Two letters picked without replacement from llllll. Give prob of picking 2 l.
1
What is prob of picking 1 x, 2 q, and 1 m when four letters picked without replacement from qlmkqxss?
1/70
Calculate prob of picking 1 g and 2 o when three letters picked without replacement from {o: 4, g: 7}.
14/55
Calculate prob of picking 2 p when two letters picked without replacement from pceeccncpp.
1/15
Two letters picked without replacement from eeuuyelyuphhuuehhu. Give prob of picking 1 p and 1 l.
1/153
Four letters picked without replacement from uuxuouubccuc. What is prob of picking 4 u?
1/33
Two letters picked without replacement from {b: 6, c: 1, a: 1, m: 1}. Give prob of picking 1 a and 1 m.
1/36
Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {s: 6, p: 3, i: 6}.
6/35
Two letters picked without replacement from {d: 3, a: 2, x: 3, b: 2, l: 1, n: 1}. Give prob of picking 1 l and 1 a.
1/33
Calculate prob of picking 1 r and 2 c when three letters picked without replacement from {r: 4, c: 14}.
91/204
Calculate prob of picking 1 g, 2 e, and 1 l when four letters picked without replacement from llgiyniieeieegiii.
6/595
Two letters picked without replacement from eenpgpggpcpcgagepc. Give prob of picking 1 g and 1 p.
25/153
Three letters picked without replacement from ffycfvffeuuu. What is prob of picking 1 f, 1 e, and 1 u?
3/44
Calculate prob of picking 1 p, 1 g, and 1 h when three letters picked without replacement from {h: 6, s: 1, p: 3, g: 2}.
9/55
Calculate prob of picking 2 j when two letters picked without replacement from {a: 5, j: 14}.
91/171
Two letters picked without replacement from knko. What is prob of picking 1 o and 1 n?
1/6
Four letters picked without replacement from drrvii. What is prob of picking 1 r, 1 v, and 2 i?
2/15
Two letters picked without replacement from ooukomukumo. What is prob of picking 1 m and 1 o?
8/55
What is prob of picking 1 q, 1 j, 1 s, and 1 h when four letters picked without replacement from {h: 3, j: 1, r: 4, s: 5, q: 1}?
15/1001
Four letters picked without replacement from {d: 2, z: 5}. Give prob of picking 4 d.
0
Three letters picked without replacement from {e: 8, b: 3}. Give prob of picking 1 e and 2 b.
8/55
What is prob of picking 1 x, 2 n, and 1 t when four letters picked without replacement from ynntynnxynyxnxxx?
15/364
What is prob of picking 2 d and 1 u when three letters picked without replacement from {a: 1, d: 2, v: 1, u: 2, i: 1, x: 1}?
1/28
What is prob of picking 1 i and 1 v when two letters picked without replacement from vivqqgigg?
1/9
Calculate prob of picking 4 y when four letters picked without replacement from {i: 6, y: 6}.
1/33
Four letters picked without replacement from cppffpmmmmmcmcmmm. What is prob of picking 2 c, 1 m, and 1 p?
81/2380
What is prob of picking 2 q and 1 w when three letters picked without replacement from {w: 5, g: 2, q: 2, t: 11}?
1/228
Two letters picked without replacement from unugqunguugnnuunun. What is prob of picking 2 g?
1/51
Three letters picked without replacement from {n: 5, v: 3, x: 3}. Give prob of picking 2 v and 1 x.
3/55
Three letters picked without replacement from {n: 2, g: 1, p: 1, q: 2}. What is prob of picking 1 g, 1 p, and 1 q?
1/10
Three letters picked without replacement from {r: 2, j: 9}. Give prob of picking 1 j and 2 r.
3/55
What is prob of picking 1 i, 2 p, and 1 h when four letters picked without replacement from ibhhhhiipaiiphpih?
27/595
Three letters picked without replacement from qqqqqqqqqq. Give prob of picking 3 q.
1
What is prob of picking 2 o when two letters picked without replacement from nhhhhnhhihoohhhohoh?
2/57
Two letters picked without replacement from {f: 1, q: 3, b: 2, s: 2, t: 4, l: 8}. Give prob of picking 1 q and 1 b.
3/95
Three letters picked without replacement from {n: 4, j: 2, l: 1, e: 2, t: 1}. Give prob of picking 1 t and 2 e.
1/120
Three letters picked without replacement from {v: 2, y: 2, g: 2, z: 6}. Give prob of picking 1 z, 1 v, and 1 g.
6/55
What is prob of picking 1 f, 2 o, and 1 r when four letters picked without replacement from {j: 2, u: 1, o: 2, f: 13, r: 2}?
26/4845
Calculate prob of picking 2 i and 1 l when three letters picked without replacement from {i: 3, z: 2, p: 6, k: 4, l: 1}.
3/560
Two letters picked without replacement from gqgqqegeugugugegqu. Give prob of picking 2 g.
7/51
Calculate prob of picking 2 c when two letters picked without replacement from {a: 2, q: 6, c: 5}.
5/39
Four letters picked without replacement from {g: 4, z: 1, b: 2, u: 4}. Give prob of picking 1 z, 1 b, and 2 u.
2/55
Three letters picked without replacement from pompsooloo. Give prob of picking 2 p and 1 m.
1/120
Calculate prob of picking 1 x, 1 a, and 1 n when three letters picked without replacement from xxxeexnaj.
1/21
Three letters picked without replacement from {n: 2, i: 1, y: 1}. What is prob of picking 1 y, 1 i, and 1 n?
1/2
What is prob of picking 1 v and 1 g when two letters picked without replacement from {v: 1, g: 3, f: 1, t: 2}?
1/7
Four letters picked without replacement from {m: 4, d: 2, h: 6, r: 3, w: 1, f: 2}. Give prob of picking 3 h and 1 d.
2/153
What is prob of picking 1 o and 1 t when two letters picked without replacement from atao?
1/6
Four letters picked without replacement from {o: 2, q: 17}. What is prob of picking 4 q?
35/57
What is prob of picking 2 t when two letters picked without replacement from ttztttttzttt?
15/22
Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {e: 1, k: 5, x: 1, h: 1, d: 1, f: 3}.
1/22
What is prob of picking 1 k and 1 p when two letters picked without replacement from {k: 1, l: 2, p: 1}?
1/6
Four letters picked without replacement from {l: 4, e: 2, w: 2, z: 8}. What is prob of picking 2 z and 2 w?
1/65
Two letters picked without replacement from {h: 1, r: 3, o: 1, x: 7, w: 1}. Give prob of picking 1 w and 1 r.
1/26
Two letters picked without replacement from nrerznzxzrmzxnznzxn. What is prob of picking 1 m and 1 n?
5/171
Two letters picked without replacement from jjjppjjppjjmjjjpjpj. Give prob of picking 1 m and 1 j.
4/57
What is prob of picking 2 h and 2 q when four letters picked without replacement from hhqqqqhhqhhqh?
63/143
Four letters picked without replacement from {s: 6, a: 4, w: 1}. Give prob of picking 4 s.
1/22
Calculate prob of picking 2 j when two letters picked without replacement from jjjj.
1
What is prob of picking 1 v and 1 z when two letters picked without replacement from {e: 2, r: 1, v: 2, z: 1, g: 1}?
2/21
Calculate prob of picking 1 w and 1 f when two letters picked without replacement from fww.
2/3
Three letters picked without replacement from kgkgkgg. What is prob of picking 3 k?
1/35
Two letters picked without replacement from btgwp. What is prob of picking 1 p and 1 g?
1/10
What is prob of picking 3 g and 1 q when four letters picked without replacement from ggssghjqjgssgh?
10/1001
Calculate prob of picking 2 n when two letters picked without replacement from wnwjjewwqqwnwn.
3/91
What is prob of picking 4 v when four letters picked without replacement from vsslllvvsscscsssv?
1/2380
What is prob of picking 4 k when four letters picked without replacement from {k: 14, x: 5}?
1001/3876
Calculate prob of picking 1 y, 1 j, 1 o, and 1 u when four letters picked without replacement from {o: 2, h: 1, u: 3, y: 2, b: 3, j: 7}.
7/255
Three letters picked without replacement from {h: 2, o: 1, w: 1, y: 2, v: 2}. Give prob of picking 1 o, 1 h, and 1 v.
1/14
What is prob of picking 3 j and 1 h when four letters picked without replacement from jhjhj?
2/5
What is prob of picking 2 t when two letters picked without replacement from {j: 4, t: 4, p: 1, h: 4, w: 3, o: 1}?
3/68
Three letters picked without replacement from ccccscckcccccscccskc. What is prob of picking 1 c and 2 k?
1/76
Two letters picked without replacement from gddn. Give prob of picking 1 d and 1 g.
1/3
Calculate prob of picking 1 i and 1 q when two letters picked without replacement from fsriq.
1/10
Four letters picked without replacement from {s: 6, k: 2}. Give prob of picking 2 k and 2 s.
3/14
Three letters p
|
{
"pile_set_name": "DM Mathematics"
}
|
0642990, 23946722, 42571946?
66518662
What is the next term in -98647, -209165, -319683, -430201, -540719?
-651237
What is next in -37489128, -74978256, -112467384, -149956512, -187445640, -224934768?
-262423896
What is next in 2414739, 2414711, 2414683, 2414655, 2414627, 2414599?
2414571
What is next in 939077, 939065, 939051, 939035, 939017, 938997?
938975
What is next in -2671703, -5343419, -8015135?
-10686851
What is the next term in -8, 352, 994, 1936, 3196, 4792, 6742, 9064?
11776
What is next in -2389341822, -2389341821, -2389341820, -2389341819?
-2389341818
What is the next term in -115453, -231575, -347697, -463819?
-579941
What is next in 851274, 3405092, 7661456, 13620366, 21281822, 30645824, 41712372?
54481466
What is next in 9247, 74084, 250147, 593074, 1158503, 2002072, 3179419, 4746182?
6757999
What comes next: 139482, 279033, 418586, 558141, 697698?
837257
What comes next: -153992293, -307984584, -461976875, -615969166, -769961457?
-923953748
What is the next term in -77261, -77209, -77151, -77087, -77017, -76941?
-76859
What comes next: 1150, 1191, 1258, 1351, 1470, 1615?
1786
What is the next term in 37953, 87693, 170593, 286653, 435873?
618253
What comes next: 2170308, 2170305, 2170302, 2170299, 2170296?
2170293
What comes next: -394357, -789248, -1184137, -1579024, -1973909?
-2368792
What is next in -48555, -48591, -48695, -48897, -49227?
-49715
What comes next: -857, -319, 219?
757
What is the next term in 2434, 4952, 7476, 10006, 12542, 15084?
17632
What comes next: -33019, -32599, -31897, -30913, -29647?
-28099
What is next in -5006, -10083, -15246, -20495, -25830, -31251?
-36758
What is next in 36284, 39872, 43458, 47042, 50624, 54204, 57782?
61358
What is next in 280240, 1121403, 2523342, 4486057, 7009548, 10093815, 13738858?
17944677
What is the next term in 3535832, 3535856, 3535880, 3535904?
3535928
What is next in 887, 2725, 5527, 9293, 14023, 19717, 26375?
33997
What is the next term in -244590, -979008, -2203028, -3916644, -6119850, -8812640?
-11995008
What is the next term in 106460, 424995, 955886, 1699133, 2654736, 3822695?
5203010
What comes next: -8395, -16751, -25097, -33433, -41759, -50075?
-58381
What is the next term in 10899, 87449, 295349, 700275, 1367903, 2363909, 3753969, 5603759?
7978955
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635505183
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-354477
What is the next term in -4270, -39904, -136620, -324958, -635458, -1098660, -1745104, -2605330?
-3709878
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-360066
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163137
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41714768
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889743
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-3262002
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3361083
What is next in -35916, -72646, -109376?
-146106
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336441
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61961
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-75698
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312043
What is next in 2337, 18529, 62457, 147981, 288961?
499257
What is the next term in -1911, -3778, -5563, -7260, -8863, -10366, -11763?
-13048
What is the next term in 3478, 13253, 29532, 52309, 81578, 117333, 159568?
208277
What is the next term in -110758, -110834, -110974, -111190, -111494, -111898, -112414, -113054?
-113830
What is next in -218428, -873707, -1965838, -3494821, -5460656, -7863343, -10702882?
-13979273
What comes next: -882707, -1765414, -2648121, -3530828, -4413535, -5296242?
-6178949
What is the next term in -32232, -128946, -290136, -515802, -805944, -1160562?
-1579656
What is the next term in 22317, 23562, 24801, 26034?
27261
What comes next: -2078636, -8314526, -18707670, -33258062, -51965696, -74830566, -101852666, -133031990?
-168368532
What comes next: 137225, 546065, 1227457, 2181395, 3407873, 4906885, 6678425?
8722487
What is next in -23054, -45349, -67634, -89909?
-112174
What is next in -10658, -21513, -32368, -43223, -54078, -64933?
-75788
What is the next term in -39512, -39495, -39436, -39329, -39168, -38947, -38660?
-38301
What is next in -123966, -495837, -1115630, -1983357, -3099030, -4462661?
-6074262
What is next in 481798553, 963597104, 1445395655, 1927194206?
2408992757
What comes next: -92, 183, 444, 697, 948, 1203?
1468
What is next in 1546526, 3093001, 4639476, 6185951, 7732426?
9278901
What comes next: 484452, 484463, 484488, 484533, 484604, 484707, 484848?
485033
What comes next: -1587275971, -1587275970, -1587275969, -1587275968, -1587275967, -1587275966?
-1587275965
What is the next term in -352107, -352077, -352047, -352017, -351987, -351957?
-351927
What comes next: 42642, 59916, 77190, 94464, 111738?
129012
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-3333208
What is next in -14555, -29450, -44637, -60122, -75911, -92010, -108425, -125162?
-142227
What is next in 1767826, 1767823, 1767820, 1767817, 1767814?
1767811
What is next in -1769, -3595, -5497, -7499, -9625, -11899, -14345, -16987?
-19849
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902673
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-11195
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2512
What comes next: 73976, 148123, 222270, 296417?
370564
What is the next term in -530, -1155, -1850, -2621, -3474, -4415, -5450, -6585?
-7826
What is the next term in -21098, -20925, -20752, -20579?
-20406
What is next in 29917, 59974, 90029, 120082, 150133, 180182?
210229
What comes next: 165301, 162771, 160241, 157711?
155181
What is the next term in -973, -7190, -23523, -54838, -106001, -181878, -287335, -427238?
-606453
What is the next term in -365029, -730059, -1095089?
-1460119
What comes next: -14540509, -14540482, -14540453, -14540422?
-14540389
What is the next term in -6461, -13290, -20119, -26948, -33777?
-40606
What is the next term in -2363489, -4727104, -7090719, -9454334?
-11817949
What is next in -11381640, -22763269, -34144898?
-45526527
What comes next: -9928, -39727, -89402, -158953?
-248380
What is next in -170168, -170203, -170304, -170507, -170848?
-171363
What comes next: 16180, 3606, -8952, -21488, -33996, -46470, -58904?
-71292
What is next in 10603, -1849, -22603, -51659, -89017, -134677, -188639?
-250903
What comes next: -590289, -590078, -589865, -589650, -589433, -589214, -588993?
-588770
What is next in 55151907, 55151916, 55151927, 55151940, 55151955?
55151972
What is the next term in -8967, -31873, -68711, -119481, -184183?
-262817
What is next in -199628, -399275, -598922?
-798569
What is next in 1271400, 1271374, 1271348, 1271322, 1271296?
1271270
What is the next term in 150, -805, -3632, -9267, -18646, -32705, -52380?
-78607
What is the next term in -105, 1618, 5179, 10578, 17815, 26890, 37803?
50554
What comes next: -399697, -399610, -399369, -398896, -398113, -396942?
-395305
What is the next term in -109389, -109351, -109279, -109167, -109009, -108799?
-108531
What comes next: 119943, 479943, 1079945, 1919949, 2999955?
4319963
What is the next term in 4458784, 8917569, 13376352, 17835133?
22293912
What is next in -7703, -14003, -20303?
-26603
What comes next: -657835, -657829, -657821, -657811?
-657799
What is the next term in 66678, 66693, 66714, 66741, 66774, 66813?
66858
What comes next: -10325161, -10325163, -10325165, -10325167?
-10325169
What comes next: 36011, 144029, 324047, 576071, 900107, 1296161?
1764239
What comes next: -39855797, -39855796, -39855795?
-39855794
What is next in 207826, 207020, 206214, 205408?
204602
What is the next term in -2451191, -2451193, -2451195, -2451197, -2451199?
-2451201
What is the next term in 33115964, 66231927, 99347890?
132463853
What is next in 6851, 11265, 15677, 20087, 24495, 28901?
33305
What is next in 129, -713, -2991, -7419, -14711, -25581, -40743, -60911?
-86799
What is next in -3825, -11191, -22113, -36615, -54721, -76455, -101841?
-130903
What is next in -17998710, -17998705, -17998698, -17998689?
-17998678
What is n
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate the common denominator of 26/9 and (-1)/(-72) + (-13)/((-728)/21).
18
Suppose 0 = i + i - n - 12, -i = -5*n - 15. Let a = -10 - -12. Suppose -c - i*s = -6, c = 3*s - a - 0. Calculate the lowest common multiple of c and 10.
10
Let a = 4557 - 95677/21. Let j = a - 7/6. Let m = -121/39 + 1493/234. Calculate the common denominator of j and m.
126
Let n(y) = 5*y**2 - 2*y + 6*y - 18*y**3 + 19*y**3. Let g be n(-2). Suppose l = -2 - 3, -l + g = t. Calculate the least common multiple of t and 9.
9
Let k(h) = h**3 + 20*h**2 + 19*h + 24. Calculate the lowest common multiple of k(-19) and 6.
24
Suppose 73 = o - 0*o + x, -x = -1. Calculate the common denominator of 1/3 and 2*(-268)/o + 2.
9
What is the common denominator of ((-4005)/120)/((-21)/(-4)) and -43/2?
14
Let h = 16 + -11. Let t(j) = -11*j + 122. Calculate the smallest common multiple of h and t(11).
5
Let i = -13 + 19. Suppose 105 = 4*f - 4*g + 25, -2*f = 3*g - 15. Let u(l) = -l**2 + 17*l - 22. What is the lowest common multiple of u(f) and i?
24
Let g(v) = -41*v + 1. Let w be g(-1). Suppose 61*r - 64*r = 4*h - 22, 3*r - 6 = 0. Find the common denominator of (w/9 - h) + 23 and -19/6.
6
Let v be (-54)/(-72) + 37/4. Find the common denominator of 265/v*2/(-16) and 22.
16
Let f(m) = m**3 - m**2 + 4*m + 12. Let l be f(0). Suppose r = -2*r + 42. Calculate the least common multiple of r and 3 - (l/30 + 12/(-5)).
70
Let s = -5 + 9. Suppose 3*q + i = -2*i + 18, 2*q = 5*i - 2. Suppose -q*y - k + 53 = 0, 2*y = -y - 4*k + 56. Calculate the smallest common multiple of y and s.
12
Let y be 114*(-9)/(-18) + (0 - 0). Let w = y - 41. What is the lowest common multiple of 66 and w?
528
Let g = 1219 + -10987/9. Calculate the common denominator of g and 28/785.
7065
Let j = -7400 - -2855. Calculate the common denominator of (-2)/(-11) + j/2673 and -35/3.
27
Let h(t) = t**2 + 4*t + 12. Let k be (-6)/(-15) + 44/(-10). Calculate the smallest common multiple of h(k) and 24.
24
Let g = 12599/30 + -841/2. Calculate the common denominator of g and -43/12.
60
Calculate the least common multiple of 6 and 2/(-5)*(-3)/2*15.
18
Suppose -9 + 45 = 5*j + 4*b, j = -5*b + 24. What is the lowest common multiple of 76 and j?
76
Let k = -102 + 211/2. Calculate the common denominator of k and 34/3.
6
Let d = 4 + -7. Let a be (-996)/30 - (-1)/5. Calculate the common denominator of 3/(a/59) - d and 20/3.
33
Suppose -3*a + 4*a + 3*b - 10 = 0, -5*a - 2*b + 24 = 0. What is the lowest common multiple of 99 and a?
396
Suppose 0*g + 3*g - 4*o - 9 = 0, 5*o = 15. Suppose -2 = z - g. What is the lowest common multiple of 4 and z?
20
Let p(y) = -y**2 - 5*y. Let h(c) = 3 - c + 5*c - 2*c - 4*c. Let b be h(3). What is the least common multiple of p(b) and 12?
12
Let q = -33 + 36. Suppose -q = u - 3*f, 0 = -u - 5*f - 11 + 32. What is the least common multiple of 2 and u?
6
Suppose -2*g + 132 = -0*g. Calculate the least common multiple of (-16)/(-6)*g/8 and 8.
88
Suppose -21*x + 90 = 6. Let q(l) = l**3 + 8*l**2 - 10*l + 9. What is the least common multiple of q(-9) and x?
36
Let q = 642193/112230 - -2/18705. Find the common denominator of q and ((-4)/46)/((-16)/(-60)).
414
What is the common denominator of 57/20 and 1593/3240 - (-1 + 7/5)?
120
Let r(u) = -16*u**3 - 3*u**2 + 4*u - 2. Let j be r(-5). Let g = -11387/6 + j. What is the common denominator of 77/18 and g?
18
Let l be (-1)/(18/238)*(-249)/(-10). Let y = -329 - l. Let a = 377555/66 + -17150/3. Calculate the common denominator of a and y.
330
Let x = -33580/172823 - -3/7054. Find the common denominator of x and 47/20.
980
Let z(t) = -8*t + 12. Let k be z(3). Calculate the common denominator of 7/(-7) - (-94)/k and -19/18.
18
Let k = 77585/18 + -4315. Let d = k - -212/9. Find the common denominator of 22/(-6) - (8/12 + -1) and d.
6
Suppose -17*c = -673 - 347. Calculate the least common multiple of 6 and c.
60
What is the common denominator of 6/5 and 12/30*(-4)/((-144)/580)?
45
Let x be 3 - (1 - -1) - 7170. Let i = x - -143411/20. Find the common denominator of (-3)/40*15/(-2) and i.
80
Let r = -82975/12 - -6909. Let a be 1/2 - 21/(-14). Find the common denominator of r and (-2254)/(-280) + -2*a.
60
Let u be (-1)/(-2)*(1 + -1). Suppose u*k + 14 = -k. Let m(i) = -i**3 - 15*i**2 - 16*i - 6. What is the smallest common multiple of m(k) and 2?
22
Let m be -16 - (0 + 2 + -2). Let t = 20281 + -446261/22. Calculate the common denominator of t and 53/10 + m/40.
110
Let y(r) = r**2 - r - 6. Let f(z) = z**3 + 53*z**2 + 103*z + 63. Calculate the smallest common multiple of y(6) and f(-51).
24
What is the common denominator of 31/313 and -27*(-11)/(-121) + (-10)/(-2)?
3443
Let c = -3 + 10. Let d(y) = -8 - 3*y - 2*y**3 - 178*y**2 + y**3 + 186*y**2. Calculate the smallest common multiple of d(c) and 4.
20
Calculate the common denominator of ((-6)/((-2244)/(-737)))/(5/(-2)) and 4/35.
595
Suppose 3*q - 60 = -2*q - 5*z, 3*q - 46 = -5*z. Let l(s) = -s**3 + 8*s**2 - 6*s - 2. Calculate the least common multiple of 6 and l(q).
30
Suppose -2*k - k = -27. Suppose 3*v = v. Suppose -31*h + 28*h + 27 = v. Calculate the smallest common multiple of k and h.
9
Let t(g) = -g**2 + 6*g + 3. Let r be t(6). Suppose -3*u - 5*o = 2*u - 35, 0 = r*o + 9. Calculate the smallest common multiple of u and 11.
110
Suppose -2*t = q - 4*q - 14, t + 2*q = -7. Let y(l) = l**3 - 11*l**2 + 7*l - 24. Let r be y(6). What is the common denominator of -87/10 and (t - 14)*(-36)/r?
90
Find the common denominator of -139/102 and ((1/(-5))/(68/244))/1.
510
Let m = 14 - -9. Find the common denominator of (2/2*-2 - 0) + 32490/2052 and (-5)/15 + m/60.
60
Calculate the common denominator of -109/315 and (14/30)/((-108)/567).
1260
Let i = 665 + -633. What is the lowest common multiple of i and 72?
288
Suppose -3090 = -77*v + 8922. What is the smallest common multiple of v and 39?
156
Let r be (-1827)/49 - (-2)/(-2). Let m = r - -1779/28. Find the common denominator of 1 + -4 + 495/36 and m.
4
Let r be (-1570)/(-32)*36/(-440). Let t = r - -15/32. Calculate the common denominator of -1 - 190/4 - -1 and t.
22
Let h = 3788 - 53111/14. Find the common denominator of h and 17/5*14/4.
70
Let y be (1*2)/(12/108). What is the common denominator of -16/15 and (292/y)/(3/(6/8))?
90
Suppose 3*h + 2 - 8 = 0, n + 3*h - 22 = 0. What is the lowest common multiple of 24 and n?
48
Let r = -16904/33387 + 120/359. Let a = -4172/465 - r. Let l = -43684 - -174769/4. What is the common denominator of l and a?
20
Let k = 1081651/142110 + -2/7895. Let z be -2*4/(-8) - 4. What is the common denominator of ((-219)/(-9))/(1 + z) and k?
18
Suppose 3*x - 115 = -43. Suppose -2*h + x = 4*h. What is the common denominator of (-434)/35 + 1*h and 20/9?
45
Let w(s) = 12*s - 6. Calculate the smallest common multiple of 46 and w(1).
138
Suppose 0*a + 8 = -4*v - 4*a, a + 2 = -4*v. What is the smallest common multiple of 1 - 2 - (-10)/5 and -25*((-2)/5 + v)?
10
Let o = -13 + 13. Let a(v) = -v**3 + 7*v**2 + 10*v. What is the lowest common multiple of 3/15*o + 10 and a(8)?
80
Let k(c) = c**3 + 16*c - 56. What is the smallest common multiple of 228 and k(4)?
1368
Let k = 26031/26 + -1001. Find the common denominator of -101/4 and k.
52
Let a = -21 - -11. Let x = 12 + a. Suppose 0 = -x*i - 0*i - 3*n + 88, -5*i - 4*n = -234. Calculate the common denominator of i and 5/2.
2
Find the common denominator of 0 + (-17)/((-476)/(-96)) + 0 and -37/10.
70
Let q = 188644 + -34710597/184. What is the common denominator of q and -20/207?
1656
Let g = 21290 + -468467/22. What is the common denominator of g and (18/12)/(54/(-146))?
198
Let n(v) = -26*v**3 + 2*v**2 + 3*v - 1. Let j be n(-3). Let r = j + -1447/2. What is the common denominator of -87/4 and r?
4
Calculate the least common multiple of 30 and (3 - 2)*1 - (-520)/8.
330
Let m be 1*(-25)/(-15)*-3. Find the common denominator of 19 and 17/m + (13 - 15).
5
Calculate the common denominator of (-142)/10880 + 5/(-85) and -41/64.
320
Calculate the common denominator of (-2 - -1) + -4 - (-53508)/11088 and 34/11.
132
Suppose 3*w + 5*q + 121 = 0, 13 = -2*w - 3*q - 67. Let b = w - -40. Calculate the lowest common multiple of 2 and b.
6
Find the common denominator of ((-14)/147)/(12/(-113)) and 71/18.
126
Let n(j) = 36*j - 419. What is the lowest com
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 1. Let x(o) = o**3 + 9*o**2 + o + 11. Let q be x(-9). Let z(v) = 0*v**2 + 3*v**q - 3*v + 3*v. Give z(d(m)).
12*m**2
Let i(w) = -3*w**2. Let b(z) = -8*z**2 - 4 + 4 + 23*z**2. Calculate i(b(k)).
-675*k**4
Let r(l) be the first derivative of -57*l**2/2 - 30. Let j(c) = 2*c. Give j(r(f)).
-114*f
Let j(t) = t. Let w(h) = -1645*h**2. Give w(j(x)).
-1645*x**2
Let p(c) = -2*c**2. Let f(i) be the third derivative of i**5/30 + 4*i**2. Calculate f(p(a)).
8*a**4
Let b(k) = -k. Let u(l) = 4*l. Let s(m) = -15*b(m) - 3*u(m). Let h(w) = 12*w**2. Calculate s(h(g)).
36*g**2
Let l(b) = b. Let a(o) = -10*o + 6*o + 3*o. What is a(l(g))?
-g
Suppose 0 = 4*t - 8 - 0. Let g(l) = 0*l - t*l**2 + 0*l. Let b(a) = 2*a**2 + 3*a**2 - 6*a**2. Determine b(g(i)).
-4*i**4
Let f(u) = -u**2 - 21. Let k(g) = 121*g**2 + 2. Give f(k(s)).
-14641*s**4 - 484*s**2 - 25
Let i(s) = 2*s. Let v(y) be the first derivative of 6*y**3 - 2 - 4*y**3 + 0 + 0. Determine v(i(w)).
24*w**2
Let l(b) = 2*b. Let s(d) be the second derivative of -d**5/60 - d**3/6 + 4*d. Let f(g) be the second derivative of s(g). Determine f(l(a)).
-4*a
Let f(a) = 62*a**2. Let c(z) = -z - 20. Calculate f(c(w)).
62*w**2 + 2480*w + 24800
Let o(x) = -2*x. Let z(c) be the second derivative of -31*c**3/6 - 11*c. Give z(o(s)).
62*s
Let y(v) = 140*v. Let w(t) = 3*t**2. Determine w(y(u)).
58800*u**2
Let x(s) = -2*s. Let y(a) = a**3 + 5*a**2 - 7*a. Let j be y(-6). Let l(c) = 3*c**2 + c**2 - j*c**2 + c**2. Determine l(x(z)).
-4*z**2
Let z(s) = -s. Let c(v) = -23*v + 1. Give z(c(w)).
23*w - 1
Let z(y) = -2*y**2 - 1 + 1. Let l(x) = -4*x**2 - 68*x + 68*x. What is l(z(h))?
-16*h**4
Let g(b) be the third derivative of b**5/60 - 5*b**2. Let s(w) = -11*w. What is g(s(n))?
121*n**2
Let s(x) = x. Let p(g) = 17 + 1 - 25*g - 5. Let j(c) = -6*c + 3. Let t(o) = 26*j(o) - 6*p(o). Give t(s(b)).
-6*b
Let f(d) = -d**2. Suppose 0 = -3*b + 2*b. Let h(x) = -x + 2. Let n be h(b). Let c(o) = 0*o + n*o**2 + 0*o. What is c(f(k))?
2*k**4
Let s(p) = -2*p**2. Let h(q) be the first derivative of 8*q**2 + 10. Give s(h(g)).
-512*g**2
Let r(z) = 2*z. Let q(o) = 5*o. Let f(x) = -x**2 + 4*x. Suppose -s + 2*t = -5, 3*t = 2*s - s - 5. Let v(i) = s*f(i) - 4*q(i). Calculate r(v(w)).
-10*w**2
Let k(m) be the third derivative of m**4/24 - 12*m**2. Let u(a) = -39*a. Give k(u(l)).
-39*l
Let q(o) = 41*o**2. Let h(y) = 13*y - 5. Give h(q(k)).
533*k**2 - 5
Let k(s) = -2*s. Let c(g) be the first derivative of -9*g**2 + 1. Determine k(c(o)).
36*o
Let s(k) = k**2. Let a(r) = 89*r - 5. What is s(a(g))?
7921*g**2 - 890*g + 25
Let n(c) be the first derivative of -4*c**2 - 12. Let w(j) = -3*j**2. What is n(w(f))?
24*f**2
Let y(w) = -2*w**2. Let n(m) = m**3 - 10*m**2 + 10*m - 7. Let f be 10 - (-2 + 3 + 0). Let d be n(f). Let t(a) = 6*a**2 - 3*a**2 - 4*a**d. Calculate y(t(r)).
-2*r**4
Let x(v) be the first derivative of 6*v**3 + 4. Let g(p) = -p. What is x(g(w))?
18*w**2
Let x(d) = 8*d**2. Let v(l) = -9*l**2 + 33*l. Let j(q) = q**2 - 4*q. Let f(o) = 33*j(o) + 4*v(o). Give x(f(n)).
72*n**4
Let u(s) = -22*s**2. Let v(h) = -2*h - 12. Give v(u(d)).
44*d**2 - 12
Let b(i) = 0*i**2 - i**2 - 7 + 7. Let j(v) = -3*v + 0*v + 4*v. Determine b(j(g)).
-g**2
Let t(b) = 5*b**2 - 4. Let d(z) = 11*z**2 - 9. Let v(p) = -4*d(p) + 9*t(p). Let f(s) = -39 + 39 - 7*s. Determine f(v(c)).
-7*c**2
Let r(s) = s. Let j(v) = 4*v**2. Let z(w) = 4*w**2. Let k(c) = -5*j(c) + 6*z(c). Determine k(r(b)).
4*b**2
Let f(j) = j + 1. Let y(o) = 0 + 3 + o - 1. Let m(d) = 4*f(d) - 2*y(d). Let v(z) = z - 6*z + 4*z. Determine v(m(t)).
-2*t
Let v(t) = 2*t**2. Let n(k) be the third derivative of -k**4/2 + k**2. Determine n(v(a)).
-24*a**2
Let r(n) = -12*n**2. Let h(v) = -v - 2*v + 0*v + 4*v. Give r(h(a)).
-12*a**2
Let x(l) = 62*l. Let b(v) = -90*v. Calculate b(x(o)).
-5580*o
Let m(s) = 4*s**2 - 2*s**2 - 3*s**2 - s**2. Let h(q) = -2*q**2. Give h(m(x)).
-8*x**4
Let h(o) = -8*o - 6. Let s(x) = -23*x - 17. Let j(t) = -17*h(t) + 6*s(t). Let f(p) = -6*p**2. Determine f(j(c)).
-24*c**2
Let b(p) = -2 + 6*p - 12*p + 2. Let g(t) = t. Calculate b(g(r)).
-6*r
Let l(b) = 2*b. Let d(t) = -18 - 4*t + 18. Determine d(l(w)).
-8*w
Let v(m) = -4*m**2. Let j be (-4)/16 - 57/12. Let t(c) = 4*c**2 + 5. Let n(i) = 3*i**2 + 4. Let x(o) = j*n(o) + 4*t(o). Determine x(v(q)).
16*q**4
Let o(p) = -135*p. Let s(f) = f**2 - 17*f. What is s(o(h))?
18225*h**2 + 2295*h
Let j(d) = 2*d. Let f(i) = 248*i**2. Calculate f(j(n)).
992*n**2
Let h(a) = 3*a. Let j(v) = -395*v. Determine h(j(m)).
-1185*m
Let q(r) = r**2 - 7. Let n(h) = 6*h + 4. What is q(n(k))?
36*k**2 + 48*k + 9
Let o(j) be the first derivative of j**3 + 16. Let u(n) = -8*n**2. Calculate o(u(h)).
192*h**4
Let q(v) = 24*v**2. Let p(f) be the second derivative of -f**3/3 - 26*f. What is q(p(s))?
96*s**2
Let y(b) = 52*b - 107*b + 51*b. Let a(r) = 18*r. Determine y(a(s)).
-72*s
Let h(g) = 7*g - 1 + 1 - 2*g. Let z(l) = l. Give z(h(o)).
5*o
Let x(r) = 0*r + 7*r - 8*r + 0*r. Let k(m) = -3*m**2 + m**2 + 5*m**2. Calculate x(k(u)).
-3*u**2
Let a(u) = u**2. Let j(o) = -1375*o**2. Give j(a(c)).
-1375*c**4
Let q(u) = 2*u. Let x(w) = 335*w. Give x(q(z)).
670*z
Let s(l) = -l**2 - 5*l. Let a(v) = v. Let q(r) = 4*a(r) + s(r). Let h(y) = -y. What is h(q(c))?
c**2 + c
Let b(c) = 2*c. Let a(s) be the first derivative of 2/3*s**3 + 0*s**2 + 0*s - 3. Determine b(a(k)).
4*k**2
Let j(w) = -8*w**2. Let f(s) = -11*s**2 + 3. What is j(f(q))?
-968*q**4 + 528*q**2 - 72
Let r(k) = 2*k. Let n(l) = 3*l**2 + 5*l. Let w(a) = -12*a**2 - 21*a. Let u(g) = -21*n(g) - 5*w(g). Give r(u(o)).
-6*o**2
Let p(j) = 6*j**2. Let k(u) = 11*u + 4*u - 4*u + u. Calculate p(k(t)).
864*t**2
Let f = 1/27 + 7/54. Let k(t) be the second derivative of 0 + 0*t**2 - t - f*t**3. Let y(a) = a. Give y(k(m)).
-m
Let y(p) = 3*p + 2. Let j(w) = 12*w + 9. Let l(k) = -2*j(k) + 9*y(k). Let r(c) = 2*c - 6*c + 3*c - c. Calculate r(l(h)).
-6*h
Let c(b) = b**2. Let q(l) be the first derivative of -l**2/2 - 5*l - 24. Calculate c(q(i)).
i**2 + 10*i + 25
Let s(m) = -3*m - 2. Let c(w) = w + 1. Let b(u) = 2*c(u) + s(u). Let x(y) be the second derivative of 0 + 1/4*y**4 + 2*y + 0*y**3 + 0*y**2. What is b(x(p))?
-3*p**2
Let t(j) = -3*j**2. Let l(w) = 5*w + 184. Determine t(l(g)).
-75*g**2 - 5520*g - 101568
Let j(m) = -m + 9. Let u(l) = 2*l. Give j(u(q)).
-2*q + 9
Let s(n) = 2*n**2. Let l(o) = -2*o - 96. Calculate s(l(q)).
8*q**2 + 768*q + 18432
Let f(j) = -3 + 3 - 31*j + 39*j. Let s(t) = -6*t**2. Give f(s(q)).
-48*q**2
Let i(t) = t + 3. Let g(d) = d + 4. Let a be (-2 + 10/8)*4. Let q(o) = a*g(o) + 4*i(o). Let l(k) = -7*k. Determine l(q(x)).
-7*x
Let c(l) = 503*l**2. Let n(p) = -19*p**2. Give n(c(o)).
-4807171*o**4
Let o(z) = -4*z**2. Let k(t) = -92*t**2. Let g(j) = -6*k(j) + 136*o(j). Let x(a) = -a**2. Give g(x(s)).
8*s**4
Let l(f) be the third derivative of -f**5/20 + 10*f**2. Let p(t) = -t + 47. Determine p(l(q)).
3*q**2 + 47
Let r(p) = 3288*p. Let v(o) = -2*o. Calculate v(r(d)).
-6576*d
Let t(a) = -2*a. Let m(l) = -3*l**2 - 2*l. Determine t(m(p)).
6*p**2 + 4*p
Let r(l) = -26*l. Let s(j) = 13*j**2. What is s(r(v))?
8788*v**2
Let s(j) = -j**2. Suppose 5*n + 28 = -g, g + 2*n - 248 = 6*g. Let c be 1/(-3) + g/(-9). Let t(r) = -2*r**2 - c*r**2 + 3*r**2. Give t(s(x)).
-4*x**4
Let o(w) = 2*w + 1. Let r(n) = 4*n. What is o(r(b))?
8*b + 1
Let k = 30 - 25. Let w(a) be the third derivative of 0*a**3 + 0 + 0*a + 0*a**4 + 1/12*a**k + 3*a**2. Let n(y) = -y. Give n(w(x)).
-5*x**2
Let d(x) = 2*x**2 - 263. Let i(f) = -f**2. Calculate i(d(u)).
-4*u**4 + 1052*u**2 - 69169
Let v(j) = -9*j. Let q(d) = 63*d. Let z(y) = 2*q(y) + 15*v(y). Let n(t) = 7*t. What is n(z(i))?
-63*i
Let k(q) = q + 0*q + 0*q - 3*q. Let h(p) be the third derivative of p**5/15 - 4*p**2. Calculate k(h(y)).
-8*y**2
Let z = 23 - 8. Let t = -10 + z. Let b(l) = -5 + t + l. Let n(f) = 2*f**2. Give b(n(x)).
2*x**2
Let s(b) = -142*b. Let f(c) = -c - 6. Calculate f(s(p)).
142*p - 6
Let a(l) = 3*l**2. Let b(t) be the first derivative of t**3/3 - 31. Give b(a(r)).
9*r**4
Let f(x) = -x**2 - 14*x + 18. Let u be f(-15). Let q(n) be the third derivative of -1/8*n**4 + 0 + 0*n + 0*n**u - 2*n**2. Let h(b) = -b**2. What is q(h(i))?
3*i**2
Let w(q) = -1396*q. Let i(u) = 3*u**2. What is i(w(a))?
5846448*a**2
Let n(b) be the first derivative o
|
{
"pile_set_name": "DM Mathematics"
}
|
ne q(u(l)).
-464*l**2
Let j(s) be the third derivative of 0*s**4 + 11/5*s**5 + 0*s**3 + 0*s - 16*s**2 + 0. Let h(b) = -b**2. Determine h(j(w)).
-17424*w**4
Let y(f) be the second derivative of 0*f**3 - 1/3*f**4 - 2 - 2*f + 0*f**2. Let k(g) = -3*g**2. What is y(k(r))?
-36*r**4
Let l(v) = 11426299*v**2 + 2*v. Let f(i) = i**2. Determine l(f(k)).
11426299*k**4 + 2*k**2
Let c(x) be the second derivative of -x**4/12 - 3*x. Let m be (-5)/(-3) + -6*(-1)/18. Let k(r) = 4*r**m + 36*r**2 - 5*r**2 - 10*r**2. What is k(c(t))?
25*t**4
Let z(o) = -5*o. Let n(d) = -6500*d + 1380. Determine n(z(i)).
32500*i + 1380
Let g = -1927 + 2872. Let l(t) = g - t - 945. Let m(y) = 94*y**2 - y. Give m(l(j)).
94*j**2 + j
Let x = -211 - -213. Let q(l) = x*l**2 + 10*l - 10*l. Let t(c) = 74*c. Determine q(t(u)).
10952*u**2
Let v(j) = 2424*j**2 + 6*j + 1. Let n(w) = -102*w. Calculate v(n(s)).
25219296*s**2 - 612*s + 1
Let q(o) = o**2 - 19. Let l(z) = -70*z - 754 + 754 + 37*z + 77*z. Determine q(l(i)).
1936*i**2 - 19
Let d(g) = -7*g + 19. Let h(l) = 18*l - 44. Let a(b) = -8*d(b) - 3*h(b). Let y(j) = -11*j**2. Determine a(y(f)).
-22*f**2 - 20
Let o(x) be the first derivative of -x**3/3 - 7394. Let k(g) = -62*g**2 - 213*g**2 - 120*g**2. Determine o(k(z)).
-156025*z**4
Let d(a) = 18*a**2 - 3*a. Let r(s) be the third derivative of 17 + 0*s + 1/12*s**4 + 0*s**3 - 7*s**2. What is d(r(m))?
72*m**2 - 6*m
Let b(t) = 2*t. Let z(c) = 5*c**2 - 32*c - 198. Let p be z(-8). Let k(s) = p*s**2 + 3111 - 6221 + 3110. Determine k(b(w)).
1512*w**2
Let g(z) = 2*z**2. Suppose 10 = -0*c + 2*c. Let j(w) = c*w + 12*w + 3*w - 5*w. Determine g(j(u)).
450*u**2
Let s(k) = -1. Let u be 42*-1*15/(-10). Let c(w) = -3*w - 21. Let f be (1/(-2))/(0 - (-5)/30). Let z(t) = f*c(t) + u*s(t). Let i(p) = -2*p**2. Give i(z(q)).
-162*q**2
Let j(v) = -1164*v. Let b(l) be the first derivative of 2*l**2 + 5830. Give j(b(p)).
-4656*p
Let i(m) = -2*m**2. Let t(j) = -123*j**2 - 92*j - 13. Let q(a) = -74*a**2 - 56*a - 8. Let f(v) = 13*q(v) - 8*t(v). What is f(i(n))?
88*n**4 - 16*n**2
Let u(x) = -3 - 4*x**2 + 4*x**2 + 9*x**2. Let y = -273 - -284. Let h(q) = -11 - 31*q + y + 15*q + 18*q. What is u(h(i))?
36*i**2 - 3
Let u(n) = 70*n**2 + 16*n. Let a(p) be the first derivative of p**2/2 + 2083. Give a(u(q)).
70*q**2 + 16*q
Let m(l) = 33*l - 1. Let s(t) = -7*t**2 + 2*t + 1. Let u(p) = -25*p**2 + 8*p + 4. Let z(a) = 36*s(a) - 9*u(a). Determine z(m(d)).
-29403*d**2 + 1782*d - 27
Let d(g) = -4*g**2. Let l(i) = -88180874*i**2. What is l(d(p))?
-1410893984*p**4
Let h(i) = -2*i. Let t(p) = -16520*p**2 - p - 4. Determine h(t(q)).
33040*q**2 + 2*q + 8
Let w be 399/3990 + ((-1)/(-8))/((-15)/12). Let j(z) be the second derivative of 1/12*z**4 + w + 0*z**3 - 19*z + 0*z**2. Let g(x) = -4*x. Give j(g(l)).
16*l**2
Let f(t) = -142972346*t**2. Let b(o) = -o**2. Give b(f(c)).
-20441091720743716*c**4
Let h(u) = -181 - 168 - 2*u**2 + 349. Let y(z) = 14*z - 4. Give h(y(j)).
-392*j**2 + 224*j - 32
Let a(p) = 5*p. Let s(n) = 16*n - 28*n - 5*n + 10*n - 28 + 10*n. Give s(a(o)).
15*o - 28
Let n(a) = -1025*a**2. Let y(z) = 3*z**2 + 20*z + 4. Let b(u) = 102*u**2 + 690*u + 138. Let h(r) = -2*b(r) + 69*y(r). Give n(h(j)).
-9225*j**4
Let x(q) = -2*q**2. Let v(o) = 343*o**2 - 3*o - 45944. Determine v(x(i)).
1372*i**4 + 6*i**2 - 45944
Let h(v) = 361*v. Let z(m) = -m**2 + 1624. Determine h(z(a)).
-361*a**2 + 586264
Let o(m) = -m - 92. Let k(p) = -104*p**2 - 79*p + 3. What is o(k(a))?
104*a**2 + 79*a - 95
Let u(i) be the second derivative of -i**3/3 + 5*i. Let m(r) = 53*r + 41*r - 38*r + 10*r + 83*r. Determine m(u(k)).
-298*k
Let o(h) = -h + 31*h - 85*h - 8*h - h. Let r(k) = -44*k**2. Calculate r(o(q)).
-180224*q**2
Let u(l) = -41*l + 1. Let q(h) = -245*h - 7. Let o(s) = -q(s) + 6*u(s). Let w(v) = -13*v**2. What is w(o(z))?
-13*z**2 + 338*z - 2197
Let t(f) = 374*f**2. Suppose -16*i - 72519 = -367047. Let b(c) = i*c + c**2 - 18408*c. What is b(t(h))?
139876*h**4
Let w(r) = 4*r. Let k(i) be the third derivative of 2 + 0*i - 3/10*i**5 - 15*i**2 + 0*i**3 + 0*i**4. Determine w(k(q)).
-72*q**2
Let y(z) = -3506*z + 7. Let d(w) = 258*w**2. Calculate y(d(m)).
-904548*m**2 + 7
Let l(g) = 63*g + 167361. Let p(z) = 2*z. Give p(l(r)).
126*r + 334722
Let p(a) = 9*a**2. Let v(u) = 41*u**2 - 3*u**2 - 19*u**2 - 8*u**2 - 6*u**2. Determine v(p(x)).
405*x**4
Let x(b) = 6*b**3 - b**2 + b. Let c be x(1). Let q(n) = c*n - 5*n + 3*n + 2*n. Let a(d) be the second derivative of d**3 + d. Give q(a(m)).
36*m
Let l(b) = 2*b**2 - 13*b + 77. Let s(q) = 4155*q. What is l(s(d))?
34528050*d**2 - 54015*d + 77
Let f(h) = -9*h. Let d(i) = 376*i**2 + 4*i - 8. Let k(x) = 34969*x**2 + 374*x - 748. Let a(w) = -187*d(w) + 2*k(w). What is a(f(y))?
-30294*y**2
Suppose 0*r + 81567 = 19*r. Let g(o) = -2152*o + r*o - 2144*o. Let p(v) = 37*v**2. What is g(p(c))?
-111*c**2
Suppose 80*f - 48 = 74*f. Let q(y) = -y - 9*y + f*y + 4*y. Let k(s) = 68*s**2 + 1. Let g(x) = x**2 - 1. Let j(r) = -g(r) - k(r). Calculate q(j(b)).
-138*b**2
Let r(b) = b**2 + 9. Let u be (9 + 230/(-20))*(-8 - 0). Let s(p) = -9*p - 7*p - u*p + 41*p. Give r(s(w)).
25*w**2 + 9
Let v(m) = 238*m**2 - 4*m + 4. Let g(f) = 235*f + 14. Give g(v(q)).
55930*q**2 - 940*q + 954
Let y(m) = 67 - 827*m + 6 - 70. Let a(n) = -n. Give y(a(t)).
827*t + 3
Let t(z) = -2*z. Let x = -5173 - -5203. Let i(y) be the first derivative of 0*y**2 + 5/3*y**3 + 0*y - x. Determine i(t(s)).
20*s**2
Let x(b) = b**2. Let z be (-172)/(-3)*(-12)/(-8). Let h be (-258)/4*(-4)/3. Let t(c) = -z + h + 20*c. Calculate x(t(u)).
400*u**2
Let l(u) = -12*u**2 + 10*u**2 - 17*u**2. Let v(q) be the third derivative of -q**4/4 - 20026*q**2. Determine v(l(n)).
114*n**2
Let c(m) = 3*m. Let k(q) = 7074888*q**2. Give c(k(w)).
21224664*w**2
Let g(q) = -330*q**2. Let b(o) be the third derivative of -5*o**4/6 + 2*o**2 - 1745. Calculate g(b(p)).
-132000*p**2
Suppose 0 = -3*m + 19 - 1. Let h(j) = -161*j + 23*j**2 - m*j**2 + 161*j. Let a(v) be the first derivative of v**3/3 + 9. Determine h(a(x)).
17*x**4
Let v(c) = 7533386*c**2. Let d(q) = 11*q**2. What is v(d(s))?
911539706*s**4
Let o(k) be the third derivative of -k**4/12 - 25*k**2. Let i(q) be the second derivative of q**3/6 + 24*q**2 - 113*q. What is o(i(x))?
-2*x - 96
Let v(m) = -11*m - 516143 + 516143. Let k(o) = 560*o**2. What is k(v(h))?
67760*h**2
Let t(w) = 141*w**2. Let g(n) be the second derivative of -1/4*n**4 + 11 + n + 0*n**2 + 0*n**3. What is t(g(y))?
1269*y**4
Let p be (-1)/(-5) + (-390)/(-50). Let x = -5 + p. Let f(c) = -3 + 0 + x - 6*c. Let a(l) = 2*l**2. Calculate f(a(y)).
-12*y**2
Let n(j) = 39*j**2 + 4*j - 4*j + 36*j**2. Let h(q) = 5912 - 5912 - q**2 + 0*q**2. Determine n(h(i)).
75*i**4
Let l(u) = 2*u**2 + 12*u. Let r(n) = 399*n + 1 + 0 - 1 - 351*n. What is l(r(k))?
4608*k**2 + 576*k
Let u(j) = 94601570*j**2. Let c(k) = -14*k. What is u(c(s))?
18541907720*s**2
Let q(h) = -413*h - 1. Let c(t) = -81542*t. Give q(c(r)).
33676846*r - 1
Let u(b) be the first derivative of 0*b + 6*b**2 + 157 - 4/3*b**3. Let j(x) be the second derivative of x**4/12 - x. Calculate j(u(v)).
16*v**4 - 96*v**3 + 144*v**2
Let s(x) = 245*x - 475*x + 216*x. Let w(l) = 14*l. What is w(s(o))?
-196*o
Let a(m) = -65*m. Let j(p) = -17*p - 39*p - 32*p + 120*p - 12*p. Determine a(j(w)).
-1300*w
Let b(z) = z. Let u(r) be the first derivative of -124*r**3 + 249*r**3 - 126*r**3 - 52 - 37. What is u(b(s))?
-3*s**2
Let t(y) = -224*y + 15 - 218*y + 449*y. Let z(w) = 3*w + 6. Let f(j) = -4*t(j) + 10*z(j). Let a(r) = -32*r**2 - 3*r. Calculate f(a(g)).
-64*g**2 - 6*g
Let q(c) = 2301*c**2 - 4118*c - 1. Let s(o) = -o. Determine q(s(n)).
2301*n**2 + 4118*n - 1
Let x(a) = 33902*a + 1. Let j(h) = -12*h. Give x(j(l)).
-406824*l + 1
Let l(h) = 11*h**2 - h. Let c(b) be the third derivative of -b**4 + 1195*b**2. Give l(c(j)).
6336*j**2 + 24*j
Let k(h) = -37*h**2 - h. Let z(o) = 11*o**2. Let c(d) = k(d) + 3*z(d). Let x(f) = -23*f**2. Give x(c(l)).
-368*l**4 - 184*l**3 - 23*l**2
Let a(q) = 62*q**2. Let h(w) = -492501*w. Determine a(h(f)).
15038548570062*f**2
Let c(t) = -42093*t. Let a(y) = 581*y. Determine a(c(u)).
-24456033*u
Let l(p) = -9*p**2. Let g(v) be the second derivative of -19*v**4/6 - 630*v. What is l(g(o))?
-12996*o**4
Let i(m) = -m**2. Let o(g) = 76402502*g. What is i(o(y)
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{
"pile_set_name": "DM Mathematics"
}
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4*n = 3*i - 7. Let k(y) be the third derivative of -3*y**5/20 - y**4/24 - y**3/6 + 3*y**2. Determine k(n).
-9
Let v(j) be the third derivative of j**6/120 - j**5/5 + j**4/2 - 7*j**3/6 - j**2. What is v(11)?
4
Let m(h) = h**3 + 8*h**2 + 8*h - 2. Let r be m(-7). Let y(i) = i**2 + 8*i - 7. Let p be y(r). Let l(b) = b**3 - 4*b**2 + 4*b - 3. Determine l(p).
-3
Let b(u) = -11*u**2 - 2*u - 1. Let g(z) = z**3 - z + 1. Suppose 5*r - 5*m = 5, -4*r = -2*m - 0*m - 6. Let x be g(r). Suppose 2 - x = 5*o. Calculate b(o).
-10
Let b(m) = -m**2 + 5*m. Let s(o) = o. Let n be s(1). Suppose 5*z - n = 29. Suppose v = -1 + z. Determine b(v).
0
Let w be 8/28 - (-57)/21. Let c(k) = -3*k - 2*k + k**3 + 1 + 5*k**2 + w + 3. Determine c(-6).
1
Let g(f) = f**3 - 12*f**2 + 10*f + 9. Let r be g(11). Let w be (0 + -3 - r)*4. Let c(t) = t**2 + 3*t + 3. Give c(w).
7
Let o(p) = p + p**2 + 3 - 4*p + 6*p + 3*p. Give o(-5).
-2
Let o = 74 - 74. Let d(l) = -l**3 + l**2 - 6. Give d(o).
-6
Let m(n) be the second derivative of -n**4/12 + 5*n**3/6 - 5*n**2/2 + 11*n. What is m(6)?
-11
Let q(s) = 2 + 2*s**2 + 2*s**2 - s**3 - s**2 + 3*s**2. Let l be q(6). Let y(h) = 4*h. What is y(l)?
8
Let v(z) be the third derivative of z**5/60 + 7*z**4/24 - 7*z**3/6 + 4*z**2. Determine v(-6).
-13
Let p(b) be the third derivative of -b**5/20 + b**3/6 + 29*b**2. Let k be 0 + 0 - (-1 - -1). Suppose v = -1 - k. What is p(v)?
-2
Let r(f) = f**2 + 10*f + 2. Let q be r(-10). Let l(h) = 6 - 6*h - 1 + q - h**2. What is l(-6)?
7
Suppose -2*b = 9*b - 55. Let m(i) be the second derivative of 0 - i + 1/12*i**4 - 7/2*i**2 - 2/3*i**3. What is m(b)?
-2
Let d(n) = 12*n + 1. Suppose 3*j = 7 - 4. Calculate d(j).
13
Suppose -24 = -0*l + 3*l. Let u = 3 + l. Let j(p) be the third derivative of p**4/24 - 2*p**3/3 + 2*p**2. What is j(u)?
-9
Let g(w) = w**3 + w + 2*w**2 + 0*w**2 - 4*w + 2*w. Suppose 0 = 4*j + 12, -2*m - 2*j - 9 = -j. Calculate g(m).
-6
Let f(x) = -2 + 1 + 3 - x. Suppose 0 = 4*j + b - 32, 3*j - 7 = 3*b + 2. Suppose p + j*r + 24 = 3*r, -4*p - 3*r - 31 = 0. Determine f(p).
6
Let o(p) = -2*p**2 - 6*p + 2 + 4 + p**2 - 3. Calculate o(-7).
-4
Let s(t) = t + 3. Let y = 22 - 26. Give s(y).
-1
Let x(f) be the first derivative of 2*f**2 + 2*f - 25. Calculate x(-3).
-10
Let s(x) be the third derivative of x**4/24 - x**3/6 + 20*x**2. Give s(-6).
-7
Let h(c) = c**2 + 5*c + 2. Let v = 9 - 11. Determine h(v).
-4
Suppose 3*q - 7*q - 28 = 5*f, 4*f + 4*q = -24. Let b(v) = v - 4. What is b(f)?
-8
Let a = -77 + 81. Let l(i) = i**2 - 3*i - 5. Determine l(a).
-1
Suppose 0 = 3*r - 3 + 9. Let t(q) = -3*q - 3. Let n(d) = -4*d - 4. Let v(j) = r*n(j) + 3*t(j). Let x be v(2). Let o(c) = -c**2 - 5*c - 3. Determine o(x).
3
Let q(w) = w - 2. Let g be q(-2). Let x(k) = -k + 1. Let y(d) = -6*d + 4. Let t(o) = -4*x(o) + y(o). Calculate t(g).
8
Let p = 37 + -33. Let t(o) be the first derivative of -o**4/4 + 5*o**3/3 - o**2/2 - 2*o - 1. Determine t(p).
10
Let w(d) = d**3 - 6*d**2 + 2. Let b(t) = 2*t**3 - 7*t**2 + 3. Let f(r) = -2*b(r) + 3*w(r). Give f(-4).
0
Let g be (4/(-4))/(10/4 + -2). Let f(o) = o**2 - 3*o - 1. What is f(g)?
9
Let c(h) = -5*h - 2 - 4*h + h + 7*h. Calculate c(-5).
3
Let j(v) = v**3 + 17*v**2 + 17*v + 22. Let n be j(-16). Let q(z) = z**3 - 5*z**2 - 10*z + 7. Determine q(n).
-17
Let f(n) be the second derivative of -n**3/6 + 3*n**2 + 40*n. Let k be (-15)/4 + 2/(-8). Let p be (-84)/(-16) - (-1)/k. Give f(p).
1
Let i = -8 + 3. Let c(h) = 2*h + 2. Let t be c(i). Let v(m) = m**2 + 9*m + 2. What is v(t)?
-6
Let p(c) = c**2 + 7*c - 2. Let r(v) = 2*v**2 + 14*v - 4. Let n(s) = 7*p(s) - 4*r(s). What is n(-6)?
8
Let x(p) = 6*p + 4*p + p - 4*p - 1 - 3*p**2. Let q(h) = -7*h**2 + 15*h - 2. Let a(f) = 2*q(f) - 5*x(f). What is a(4)?
-3
Let j be (0 - -1)*2 + 0. Let v(z) be the second derivative of z**4/12 - z**2/2 - 5*z. Let t(m) = 2*m**2 - 3*m. Let a(w) = -t(w) + 3*v(w). Give a(j).
7
Let w(k) = 5 + 3 - 4 - 1 - k. Let y = -4 - -10. Let m(f) = 3*f - 5. Let l(x) = y*m(x) + 10*w(x). Give l(1).
8
Let y(u) = u**2 - u - 2. Suppose -5*t + o + 6 + 8 = 0, -t + 6 = -o. Determine y(t).
0
Let d = -8 - -19. Let q be (-42)/11 - 2/d. Let s = 9 + q. Let w(v) = -v**2 + 5*v - 6. What is w(s)?
-6
Let j = -12 + 17. Let t = -3 + j. Let l(w) = w**t + 3 - w**2 + 3*w + w**3 - w + 4*w**2. What is l(-4)?
-5
Let g = -3 + 8. Suppose g*m = -f + 7 + 22, 5*f + m = 25. Suppose f - 2 = -2*y. Let t(p) = p**3 - p - 1. Determine t(y).
-1
Let u = 8 - 8. Let n(m) = -m. Let r(z) = -z**3 - 5*z + 6. Let v(j) = 6*n(j) - r(j). Give v(u).
-6
Suppose -20 = -3*w - 14. Let r(z) = 3*z**2 - z + 4*z**2 - 3*z**2 - z**3. Give r(w).
6
Let u(n) = n**3 - 5*n**2 + 5*n - 1. Suppose 0 = c + 3 - 7. Determine u(c).
3
Suppose 0 = -11*q + 8*q + 21. Let r(g) = 2*g - 4. Calculate r(q).
10
Let o(i) be the first derivative of 0*i + 0*i**2 + 2 - 1/3*i**3 - 1/120*i**5 - 1/12*i**4. Let t(d) be the third derivative of o(d). What is t(-3)?
1
Let p(h) = h**3 + 3*h**2 - 1. Suppose 4*z = 5*u - 27, 2*u = u + 5*z + 18. Let j be 0 + u + -6 + 1. Determine p(j).
3
Let u(v) = 5*v**2 + v - 5. Suppose -3*n - 4 = -4*n. Let k(r) = -4*r**2 - 2*r + 4. Let l(c) = n*k(c) + 3*u(c). Determine l(-4).
5
Let u(k) = -14*k**3 - 5*k**2 - 14*k + 6. Let a(i) = -5*i**3 - 2*i**2 - 5*i + 2. Let b(m) = 17*a(m) - 6*u(m). Let o = 6 + -10. Give b(o).
2
Suppose 2*c - 2 - 4 = 0. Suppose -p = j + 4, -16 = c*p - p - 2*j. Let y(b) = b + 6. Calculate y(p).
0
Let w(i) be the first derivative of i**3/3 - 5*i**2/2 - 7*i - 6. Determine w(5).
-7
Let l(k) = -1. Let u(y) = -4*y - 5. Let j(v) = -4*l(v) + u(v). Determine j(-1).
3
Let h(a) = -a**3 + 4*a**2 + 6*a - 7. Suppose -b - 1 = 1. Let i(v) = -4*v - 3. Let q be i(b). Give h(q).
-2
Let j(m) = m**2 - 9*m + 5. Let g be j(8). Let z(l) be the first derivative of 1/3*l**3 + 3/2*l**2 - 1 + 3*l. Calculate z(g).
3
Let f(s) = 2*s**2 - s + s**3 + 3 - 1 + 2. What is f(-3)?
-2
Let t(j) = -j**2 - j - 3. Let i be (-2 - -1)*0/3. Give t(i).
-3
Let c(h) = -h**3 - 5*h**2 + 7*h + 9. Let w = 18 - 24. Determine c(w).
3
Let s(y) = -10*y + 2 + 4*y**2 + 12*y + y**3 + 1 - 8*y. Determine s(-5).
8
Let s(z) = z - 2. Let r be s(5). Let d(b) be the first derivative of -r*b**2 + 3 + 5*b + 1/3*b**3. What is d(5)?
0
Let x(l) = l**2 - 10. Let t(o) = 2*o**2 - 10. Let p(c) = 2*t(c) - 3*x(c). Let i(h) = 2*h**2 + 11. Let r(m) = 2*i(m) - 3*p(m). Determine r(0).
-8
Let a(v) = 11*v**2 + 24*v + 35. Suppose t + 5*u + 5 = 3*u, u = 0. Let g(c) = -7*c**2 - 16*c - 23. Let h(j) = t*a(j) - 8*g(j). Determine h(-7).
2
Let g(z) = z**3 + 5*z**2 + z - 5. Let o be (0 - -2) + 3 - -2. Suppose -5*a - 32 = -o. Give g(a).
-10
Suppose -4*o + 5 + 11 = 0. Suppose o - 19 = -5*l. Let b(r) = -r**3 + 3*r**2 + r + 3. What is b(l)?
6
Let p(m) = 4*m**2 - 4*m. Let a(h) = -5*h**2 + 4*h + 1. Let f(t) = -3*a(t) - 4*p(t). Let x = 5 - 3. Determine f(x).
1
Let w(o) = 4*o - 4*o**2 - 3*o + 7*o**2 + 0*o. Let q = -3 - -3. Suppose q = -y - 3*y + 4. What is w(y)?
4
Suppose 10 = 5*q - 0. Let b(g) = -20*g**2 - 6*g + 9. Let c(v) = -7*v**2 - 2*v + 3. Let l(j) = -6*b(j) + 17*c(j). Calculate l(q).
5
Suppose y - 25 = -4*y. Let h(q) = -14*q**2 + 5*q - 3. Let o(d) = -21*d**2 + 7*d - 4. Let j(s) = y*o(s) - 7*h(s). Let z = -10 + 11. Determine j(z).
-6
Let g(n) = -2*n + 6. Suppose -46 = -11*x + 31. Determine g(x).
-8
Suppose 0 = -i + 4 - 2. Suppose 10 = 4*a - i*a. Let v(y) = -6*y - y**2 + 2*y**2 - 3 + y. What is v(a)?
-3
Suppose 0 = 4*x + x. Let n(p) = x*p + 0*p + p + 2*p. Give n(-1).
-3
Let f(r) = -5*r - r**2 + 2*r - 4*r - 4. Let p(h) = h**3 - h**2 - 3*h - 3. Let a be p(3). Suppose z + 3*c = -14, -a*z + 3*c = -z + 16. What is f(z)?
6
Let t(j) = j**3 + j**2 - 3*j - 3. Suppose -16 = 2*g + 5*x, 5*g - 6 = -x - 0. Let q(m) = -m**3 - m**2 + 4*m + 4. Let c(b) = g*q(b) + 3*t(b). What is c(-2)?
-3
Let f(h) = 30 - 67 - 4*h + 34 - 2*h**2. Determine f(-2).
-3
Let q(g) = -g + 2*g + g + 1 + g. Give q(2).
7
Let r(v) = -11*v**3 + v**2 - 7*v - 1. Let m(n) = 10*n**3 - n**2 + 6*n + 1. Let b(s) = -7*m(s) - 6*r(s). Determine b(1).
-4
Let q be 3 + -3 - (1 + -4). Let o(a) = -2*a**2 + 4*a - 3. Give o(q).
-9
Let i(t) = 2*t - 1. Let o = -20 - -13. Let r = o + 6. Give i(r).
-3
Let y(j) = -8*j**2 - 8*j. Let x(s) = -s**2 - s. Let i(v) = -10*x(v) + y(v). What is i(-2)?
4
Let w = -2 + 5. Let j(s) be the second derivative of -s
|
{
"pile_set_name": "DM Mathematics"
}
|
e of 0*c + 3 + 0*c**2 + 1/3*c**3. Let y(p) = p. Determine y(a(u)).
u**2
Let v(y) = 2*y. Let j(u) = 19*u**2 - 24*u**2 + 21*u**2. What is j(v(o))?
64*o**2
Let q(c) = -7*c**2. Let i(s) = -3*s**2. Give i(q(j)).
-147*j**4
Let k(m) = -m**2. Let j(p) be the second derivative of 4*p**3/3 - 10*p. What is k(j(i))?
-64*i**2
Let s(q) = q. Let v(m) = -2*m + 0*m - m. What is v(s(x))?
-3*x
Let u(d) = -3*d - 231. Let w(h) = 2*h**2. Give w(u(x)).
18*x**2 + 2772*x + 106722
Let k(n) be the second derivative of 11*n**4/12 - 2*n. Let c(v) = -5*v**2 - 7*v. Let i(f) = -4*f**2 - 6*f. Let u(q) = 6*c(q) - 7*i(q). Determine u(k(a)).
-242*a**4
Let a(c) be the second derivative of -3*c + 0 + 0*c**2 + 0*c**3 + 1/6*c**4. Let o(r) = -15*r. Calculate o(a(v)).
-30*v**2
Let j(i) = -10*i**2. Let u(o) = -o**2 - 3. Calculate u(j(x)).
-100*x**4 - 3
Let t(x) = 2*x**2. Let l(b) = -b**2 + 140*b. Calculate t(l(z)).
2*z**4 - 560*z**3 + 39200*z**2
Let g(a) = -2*a**2 - 3*a. Let t(v) = 3*v - 6. Let p be t(3). Let u(n) = 3*n**2 + 4*n. Let h(o) = p*u(o) + 4*g(o). Let j(s) = -5*s. What is h(j(b))?
25*b**2
Let p(g) = g**2 - 305*g + 305*g + 0*g**2. Let o(w) = -3*w. Determine o(p(t)).
-3*t**2
Let u(j) be the second derivative of j**4/12 + 16*j. Let h(m) = -m - 6. Let k(i) = i + 5. Let x(a) = 5*h(a) + 6*k(a). Give u(x(g)).
g**2
Let i(y) = 11*y. Let g(l) be the third derivative of -l**5/60 - 6*l**2. What is i(g(d))?
-11*d**2
Let q(w) be the second derivative of -w**4/12 - 4*w. Let p(j) = -8*j. Calculate p(q(y)).
8*y**2
Let y(m) = -4*m**2. Let v(o) = 11*o**2. Let c(x) = 22*x**2. Let t(g) = -6*c(g) + 11*v(g). Calculate t(y(d)).
-176*d**4
Let y(o) = 3*o. Let m(l) be the first derivative of l**3 + 5. Give y(m(s)).
9*s**2
Let w(c) = -c**2. Let t(g) = 54*g - 26*g + 21*g**2 - 28*g. What is w(t(j))?
-441*j**4
Let z(o) be the second derivative of -7*o**4/2 + 3*o. Let i(t) = 2*t. Determine i(z(r)).
-84*r**2
Let q be ((-6)/4)/((-6)/8). Let l(v) = 19*v**2 - 13*v**2 - 14*v**q. Let a(g) = -g**2. Determine l(a(t)).
-8*t**4
Let b(g) = -g. Let q(s) = -4870 + 4870 + 5*s. Give q(b(w)).
-5*w
Let h(m) = -23*m. Let f(y) be the first derivative of 2*y**3/3 - 9. Determine h(f(n)).
-46*n**2
Let p(l) = 10*l + 55. Let h(o) = 4 - 2*o + 3*o + 2. Let v = -7 - -13. Let t(u) = v*p(u) - 55*h(u). Let k(j) = j. Determine k(t(g)).
5*g
Let n(l) = -8426*l**2. Let s(g) = -g**2. Give n(s(u)).
-8426*u**4
Let u(z) = 5*z + 3. Let c(g) = -44*g - 26. Let p(o) = -6*c(o) - 52*u(o). Let d(q) = 6*q. What is p(d(a))?
24*a
Let d(j) = j**2. Let y(s) = 2471*s**2. Give y(d(i)).
2471*i**4
Let b(d) = 4*d. Let i(h) be the third derivative of -h**4/6 - 23*h**2. Determine b(i(w)).
-16*w
Let j(o) = 726*o - 88. Let d(l) = 25*l - 3. Let c(t) = 88*d(t) - 3*j(t). Let n(y) = 7*y - 18*y + 10*y. Calculate n(c(r)).
-22*r
Let g(q) = -8*q**2. Let f(m) be the second derivative of -m**4/12 - 32*m. What is f(g(l))?
-64*l**4
Let g(k) be the third derivative of 0*k + 0 + 0*k**3 - 4*k**2 - 1/24*k**4. Let r(m) = -m - 1 + 1. Determine g(r(a)).
a
Suppose 3 + 2 = l. Let m(f) = 5 - 2*f - l. Let z(v) = -v. Let t(d) = -d. Let r(c) = 5*t(c) - 6*z(c). Give m(r(i)).
-2*i
Let v(i) = 2*i**2. Suppose -p = 2*k - 2 + 3, 2*k = -2*p - 6. Let d(x) = -11*x**2 + 4 + 10*x**k - 4. Calculate d(v(n)).
-4*n**4
Let o(s) = -39*s**2 - 2. Let h(p) = p**2. What is o(h(f))?
-39*f**4 - 2
Let k(z) = -4 + 2 + 2 + 2*z**2. Let f(s) = s. Calculate f(k(n)).
2*n**2
Let d(j) = -703*j - 3. Let a(z) = -2*z. Calculate d(a(n)).
1406*n - 3
Let o(i) = 2*i. Let t(c) = 1. Let q(u) = 32*u + 6. Let x(b) = -q(b) + 6*t(b). Give x(o(d)).
-64*d
Let k(a) = -15*a. Let t(x) = -6*x**2 + 3*x**2 + 3*x**2 - 2*x**2. What is k(t(p))?
30*p**2
Let j(o) = -3*o**2. Let u(b) = -5*b**2 + 4*b + 4. Let i(r) = -10*r**2 + 7*r + 7. Let l(f) = -4*i(f) + 7*u(f). What is j(l(y))?
-75*y**4
Let b(k) = 15*k + 7. Let y(h) = -3*h. What is y(b(n))?
-45*n - 21
Let h(x) = 36*x**2 - 16*x**2 - 19*x**2. Let z(v) = -v - 2. Let n(o) = 4*o + 9. Let w(q) = -2*n(q) - 9*z(q). Give h(w(b)).
b**2
Let u(p) = 17*p**2. Let h(d) = 917*d. Calculate u(h(a)).
14295113*a**2
Let y(u) = 11*u. Let c(z) = -2*z**2 - 31*z. Calculate y(c(l)).
-22*l**2 - 341*l
Let d(p) = 3*p. Let i(q) = 2*q**2 + 6. Let n(m) = -3*m**2 - 12. Let f(a) = 11*i(a) + 6*n(a). Let z(j) = j**2 - 1. Let t(l) = f(l) - 6*z(l). Determine d(t(s)).
-6*s**2
Let i(a) = -2*a. Let y(v) = -7*v + 8*v - 4*v - 4*v. Determine i(y(k)).
14*k
Let k(j) = 2. Let n(h) = -35*h - 280. Let w(g) = 140*k(g) + n(g). Let f(c) = 2*c**2. Calculate f(w(q)).
2450*q**2
Let j(h) = -4*h. Let r(m) be the first derivative of m**3 + 11. Calculate j(r(f)).
-12*f**2
Let y(b) = -10*b**2. Let g(j) be the third derivative of -j**4/24 + 3*j**2. Give g(y(t)).
10*t**2
Let z(m) = 4*m - 6*m + 3*m. Let l(o) = 3 - 3 + 4*o. What is z(l(c))?
4*c
Let f(p) = -2*p. Let i(b) = -9*b**2 - 2085*b + 2085*b. What is f(i(o))?
18*o**2
Let x(r) = r. Let j(v) = -14 + 14 + 5*v. Let y(n) = 2*j(n) - 9*x(n). Let s(a) = a. Determine s(y(d)).
d
Suppose -2 = r - 4. Let z(s) = 3*s**r - 7*s**2 - 3*s**2. Let v(a) = -a - 2 - 3 + 5. Calculate z(v(u)).
-7*u**2
Let k(a) be the second derivative of 0*a**2 + a + 0 + 0*a**3 + 1/6*a**4. Let o(h) = -3*h. Determine o(k(i)).
-6*i**2
Let t(s) = -12*s - 4. Let q(z) = -10*z**2. Determine t(q(y)).
120*y**2 - 4
Let d(n) = -2*n. Let h(o) be the first derivative of 1 + 0*o**2 + 0*o - 2/3*o**3. Give h(d(i)).
-8*i**2
Let o(y) = 4*y. Suppose -j + 2*i = 12, -5*j + 5*i - 28 = -3*j. Let d = j + 8. Let w(b) = 2*b**2 - d*b + 4*b. What is o(w(r))?
8*r**2
Let p(t) = -4*t**2 + 5*t. Let q(f) be the third derivative of -f**5/60 - 9*f**2 - 2*f. What is q(p(c))?
-16*c**4 + 40*c**3 - 25*c**2
Let q(g) = 3*g. Let o(r) be the third derivative of -r**5/120 + r**3/3 - 3*r**2. Let p(d) be the first derivative of o(d). Calculate p(q(a)).
-3*a
Suppose -s = 4*z - 19, 0 = z - 4*s - 1 - 25. Let g(r) = 3*r - z*r + 2*r. Let y(m) be the first derivative of 2*m**2 - 2. What is y(g(w))?
-4*w
Let z(m) = -2*m**2. Suppose 3*w = -0 + 18. Let p(n) = -6*n - w - 7 + 13. Give p(z(b)).
12*b**2
Let p(o) = 27*o + 2. Let f(w) = w. Calculate f(p(y)).
27*y + 2
Suppose 2 = -5*c + 12. Let f(u) = 2*u**2 - u**2 + u**c. Let g(j) = -5092 + 5092 - 9*j. Give g(f(d)).
-18*d**2
Let v(d) = -d. Let b(g) = -g**2 + 5*g + 5. Let k(w) = -3*w**2 + 12*w + 12. Suppose -2*o = 3*o + 25. Let p(t) = o*k(t) + 12*b(t). Give p(v(q)).
3*q**2
Let r(x) = -10*x. Let j(z) = 1. Let o(q) = 2*q + 0*q + 2 - 3*q. Let s(k) = -2*j(k) + o(k). What is s(r(u))?
10*u
Let x = -111 - -114. Let h(a) be the second derivative of 0*a**2 + 0 + 2*a + 0*a**x - 1/12*a**4. Let v(t) = -t**2. Determine h(v(b)).
-b**4
Let x(l) be the first derivative of l**5/30 + 2*l**2 - 2. Let u(m) be the second derivative of x(m). Let f(a) = a**2. Give u(f(i)).
2*i**4
Let f(k) = -k. Let s(m) = -6422*m. Give s(f(j)).
6422*j
Let n(p) = 2*p**2. Let c(i) be the third derivative of 0*i - 4*i**2 + 0 + 11/24*i**4 + 0*i**3. Give c(n(a)).
22*a**2
Let u(o) = -3*o**2. Let h = -35 + 38. Let w(j) be the third derivative of 0*j + 1/30*j**5 + 3*j**2 + 0*j**4 + 0*j**h + 0. What is w(u(z))?
18*z**4
Let c(x) be the second derivative of -x**4/6 - 37*x. Let w(a) = -2*a + 1. What is w(c(u))?
4*u**2 + 1
Let d(f) = 13*f + 3. Let y(i) = -13*i - 2. Let u(r) = 2*d(r) + 3*y(r). Let n(p) = -3*p**2. Give n(u(k)).
-507*k**2
Let w(j) = 1. Let i(s) = -2*s**2 - 2. Let b(u) = -i(u) - 2*w(u). Let h(l) = -6*l**2 - 4. Let n(p) = 7*p**2 + 5. Let f(x) = 5*h(x) + 4*n(x). Determine b(f(v)).
8*v**4
Let m(z) = 3*z. Let g(l) = -45*l + 10. Determine m(g(u)).
-135*u + 30
Let z(x) = -x**3 - 8*x**2 - 8*x + 2. Let r be z(-6). Let c be (-128)/r - (-4)/22. Let o(v) = -c*v**2 + 2*v**2 + v**2. Let s(w) = 2*w. Determine s(o(u)).
-6*u**2
Let g(l) = 34*l + 16. Let b(i) = 11*i + 5. Let p(q) = 16*b(q) - 5*g(q). Let y(t) = t. What is y(p(x))?
6*x
Let o(c) = -4*c. Let h(r) = -3*r**2 + 8*r. Give o(h(g)).
12*g**2 - 32*g
Let n(x) be the second derivative of 5*x**3/6 - 5*x**2/2 + 3*x. Let o(q) = 3*q - 2. Let a(z) = -2*n(z) + 5*o(z). Let h(j) = 2*j**2. What is h(a(r))?
50*r**2
Let h(i) = -5*i**2. Let g(x) = -19*x. Calculate h(g(y)).
-1805*y**2
Let m(u) = -1137*u**2. Let a(s) = s**2. Give m(a(w)).
-1137*w**4
Let s(v) = -2*v. Suppose p - 8 = 10. Let c(h) = -11*h + p*h - 9*h. Give c(s(o)).
4*o
Let c(j) = j. Let l(i) = -2122*
|
{
"pile_set_name": "DM Mathematics"
}
|
lse
Is 31 a factor of 2483162?
True
Does 25 divide 222596?
False
Is 86 a factor of 1351521?
False
Is 80 a factor of 162495?
False
Does 2 divide 56587?
False
Is 366 a factor of 644799?
False
Does 3 divide 38397?
True
Is 155 a factor of 218861?
False
Does 17 divide 1962760?
False
Is 95 a factor of 273290?
False
Does 255 divide 310443?
False
Is 1131450 a multiple of 57?
True
Does 204 divide 1573452?
True
Is 429715 a multiple of 11?
True
Does 279 divide 275439?
False
Is 30683 a multiple of 115?
False
Is 92064 a multiple of 48?
True
Does 745 divide 9822759?
False
Is 625 a factor of 145000?
True
Is 138339 a multiple of 20?
False
Does 34 divide 9634886?
True
Is 7 a factor of 1628455?
False
Does 403 divide 699166?
False
Is 10 a factor of 1347744?
False
Is 392273 a multiple of 20?
False
Is 176984 a multiple of 18?
False
Is 75020 a multiple of 44?
True
Is 125983 a multiple of 13?
True
Is 20 a factor of 2900960?
True
Is 677731 a multiple of 30?
False
Is 228 a factor of 4476636?
False
Is 46 a factor of 217241?
False
Does 225 divide 109575?
True
Is 55770 a multiple of 143?
True
Is 225262 a multiple of 59?
True
Is 4905568 a multiple of 37?
False
Is 4265070 a multiple of 15?
True
Does 8 divide 22768?
True
Is 1298 a factor of 1242186?
True
Is 231030 a multiple of 151?
True
Is 3050416 a multiple of 166?
True
Is 411 a factor of 516216?
True
Is 105 a factor of 1110264?
False
Is 10710 a multiple of 3?
True
Is 395 a factor of 200382?
False
Is 284739 a multiple of 91?
True
Is 1849940 a multiple of 12?
False
Is 6208646 a multiple of 1245?
False
Is 68030 a multiple of 7?
False
Does 84 divide 141133?
False
Is 174 a factor of 9344?
False
Does 7 divide 2298786?
True
Is 22 a factor of 40043?
False
Is 123 a factor of 85239?
True
Does 292 divide 6492851?
False
Is 172 a factor of 638016?
False
Does 121 divide 202528?
False
Does 397 divide 1016320?
True
Does 274 divide 1749094?
False
Is 218448 a multiple of 9?
True
Is 110 a factor of 323091?
False
Is 631968 a multiple of 348?
True
Is 566989 a multiple of 21?
False
Is 14 a factor of 101556?
True
Does 18 divide 680311?
False
Does 562 divide 4377466?
False
Is 1824 a multiple of 38?
True
Is 1098 a factor of 5399964?
True
Is 16 a factor of 71805?
False
Does 33 divide 4811037?
True
Is 176891 a multiple of 17?
False
Is 2 a factor of 551389?
False
Is 448 a factor of 117824?
True
Is 538 a factor of 3548847?
False
Is 56 a factor of 498053?
False
Does 54 divide 7317702?
True
Does 5 divide 155867?
False
Is 2400378 a multiple of 1747?
True
Is 11746 a multiple of 14?
True
Does 7 divide 13091?
False
Is 4 a factor of 7205?
False
Does 36 divide 609696?
True
Is 11 a factor of 79345?
False
Is 1116483 a multiple of 54?
False
Is 8 a factor of 22878?
False
Is 608220 a multiple of 436?
True
Is 40 a factor of 270740?
False
Is 5789628 a multiple of 417?
True
Is 5603033 a multiple of 61?
True
Is 418324 a multiple of 4?
True
Is 359 a factor of 184885?
True
Is 1668333 a multiple of 9?
False
Is 6188968 a multiple of 9?
False
Does 38 divide 204887?
False
Is 27 a factor of 29866?
False
Does 18 divide 2193804?
True
Is 69 a factor of 902727?
True
Does 905 divide 1087810?
True
Is 239505 a multiple of 105?
True
Is 1446 a factor of 4982916?
True
Does 843 divide 3886252?
False
Is 1829088 a multiple of 348?
True
Is 1674963 a multiple of 11?
False
Does 10 divide 10076?
False
Is 550487 a multiple of 17?
False
Is 78 a factor of 476658?
True
Is 30940 a multiple of 52?
True
Is 80 a factor of 1313600?
True
Is 2 a factor of 566730?
True
Does 61 divide 215696?
True
Does 56 divide 1087800?
True
Is 2006940 a multiple of 498?
True
Is 271 a factor of 61246?
True
Does 104 divide 3329768?
True
Does 56 divide 345016?
True
Is 23470 a multiple of 3?
False
Does 310 divide 10458470?
True
Is 1848631 a multiple of 26?
False
Does 14 divide 249201?
False
Is 2270884 a multiple of 166?
False
Does 121 divide 11315355?
False
Is 61 a factor of 874618?
True
Is 9 a factor of 220788?
True
Is 64 a factor of 345511?
False
Does 77 divide 160776?
True
Is 13 a factor of 248421?
False
Is 411860 a multiple of 4?
True
Is 18522000 a multiple of 630?
True
Does 9 divide 45180?
True
Is 30251 a multiple of 13?
True
Is 10977005 a multiple of 156?
False
Does 66 divide 203412?
True
Is 27 a factor of 381891?
False
Does 52 divide 3370224?
True
Is 5 a factor of 9720?
True
Is 2 a factor of 308737?
False
Is 8262 a multiple of 61?
False
Does 416 divide 7737306?
False
Is 913115 a multiple of 931?
False
Is 297560 a multiple of 173?
True
Is 165642 a multiple of 181?
False
Is 973350 a multiple of 150?
True
Does 272 divide 322048?
True
Is 127004 a multiple of 9?
False
Is 213 a factor of 264482?
False
Does 213 divide 25635828?
True
Is 32530 a multiple of 10?
True
Is 21 a factor of 3401133?
False
Is 118663 a multiple of 7?
False
Does 5 divide 2113578?
False
Is 157 a factor of 489997?
True
Does 21 divide 242718?
True
Does 136 divide 116662?
False
Is 87 a factor of 50547?
True
Is 182 a factor of 3173288?
False
Is 152 a factor of 97550?
False
Is 30 a factor of 188670?
True
Is 1680 a multiple of 12?
True
Is 44 a factor of 983073?
False
Is 424925 a multiple of 23?
True
Does 61 divide 66405?
False
Is 437813 a multiple of 29?
True
Is 223400 a multiple of 40?
True
Does 98 divide 92352?
False
Does 385 divide 49968?
False
Is 83258 a multiple of 203?
False
Is 13 a factor of 374645?
False
Is 108283 a multiple of 388?
False
Is 383360 a multiple of 8?
True
Does 14 divide 8461544?
True
Is 9 a factor of 466200?
True
Is 547310 a multiple of 239?
True
Is 405 a factor of 164593?
False
Does 413 divide 15034439?
True
Does 400 divide 4297200?
True
Is 128 a factor of 307070?
False
Is 122 a factor of 92331?
False
Is 399087 a multiple of 192?
False
Is 200 a factor of 162600?
True
Is 840 a factor of 3507878?
False
Is 541 a factor of 2142901?
True
Is 987624 a multiple of 172?
True
Is 1280 a factor of 18551040?
True
Is 177 a factor of 8142?
True
Does 7 divide 364120?
False
Does 1154 divide 5326864?
True
Is 210056 a multiple of 28?
True
Is 45 a factor of 251420?
False
Is 5279700 a multiple of 310?
False
Is 146 a factor of 3645907?
False
Is 334 a factor of 19488?
False
Does 10 divide 345530?
True
Is 2576629 a multiple of 103?
False
Does 29 divide 1635359?
False
Is 90182 a multiple of 121?
False
Is 5614500 a multiple of 25?
True
Is 5659853 a multiple of 1271?
False
Is 50 a factor of 1254317?
False
Is 47 a factor of 4363339?
True
Does 28 divide 6440?
True
Does 22 divide 300344?
True
Is 18 a factor of 58093?
False
Does 481 divide 122655?
True
Is 368212 a multiple of 22?
False
Is 2805443 a multiple of 93?
False
Does 271 divide 447421?
True
Does 10 divide 260590?
True
Is 376090 a multiple of 55?
True
Is 692788 a multiple of 386?
False
Is 395640 a multiple of 60?
True
Is 184084 a multiple of 8?
False
Is 667102 a multiple of 43?
True
Is 50 a factor of 85626?
False
Does 231 divide 140569?
False
Does 11 divide 84304?
True
Does 147 divide 886236?
False
Is 80117 a multiple of 113?
True
Is 189 a factor of 2281797?
True
Is 101 a factor of 10722014?
False
Does 149 divide 128596?
False
Is 22 a factor of 355938?
True
Is 20 a factor of 128680?
True
Is 1449375 a multiple of 25?
True
Does 70 divide 1715700?
True
Is 539941 a multiple of 37?
True
Is 2749911 a multiple of 123?
True
Is 955620 a multiple of 4?
True
Is 95 a factor of 6285712?
False
Is 681208 a multiple of 17?
False
Does 292 divide 725036?
True
Is 11874 even?
True
Is 120 a factor of 1223150?
False
Is 16 a factor of 256?
True
Does 66 divide 109981?
False
Does 120 divide 21960?
True
Is 170496 a multiple of 96?
True
Is 3630 a multiple of 30?
True
Does 130 divide 175240?
True
Is 2684416 a multiple of 8?
True
Does 37 divide 9731?
True
Does 21 divide 2966223?
False
Does 377 divide 680461?
False
Is 18 a factor of 12485228?
False
Is 15 a factor of 52422?
False
Does 1423 divide 21200443?
False
Is 12 a factor of 1248?
True
Is 453781 a multiple of 95?
False
Is 627837 a multiple of 91?
False
Is 280126 a multiple of 22?
True
Does 45 divide 114120?
True
Is 42 a factor of 75096?
True
Is 6 a factor of 40830?
True
Does 255 divide 555390?
True
Does 542 divide 237384?
False
Does 948 divide 8406864?
True
Does 34 divide 63546?
True
Is 3 a factor of 24861?
True
Is 462 a factor of 320913?
False
Does 144 divide 2432700?
False
I
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 28*d in the form c + v*d and give c.
0
Express -3 + 33981*z - 16980*z - 17059*z + 3 in the form t*z + h and give t.
-58
Express (4*j**4 - 2*j**4 - j**4)*(3 + 2 - 3)*(0 - 3 + 5)*(-1 - 2 - 3) in the form q*j**4 + d + i*j**2 + s*j**3 + l*j and give q.
-24
Express (2*n - 2*n + n**2)*(-6*n - 64*n + 428*n + 456*n)*(2 - 2 + 3*n) in the form o*n + l*n**3 + m*n**2 + t + x*n**4 and give x.
2442
Rearrange 15 - 11*j - 3*j**4 - 12 + 12*j + 19*j**4 - 2*j**2 to the form b + k*j + c*j**2 + h*j**4 + t*j**3 and give c.
-2
Express -2*a**3 - 2*a**3 + 3*a**3 + (-118 + 19 - 8)*(753*a - 753*a - 26 + a**3) in the form g*a**3 + v*a + w*a**2 + n and give n.
2782
Express -13*h**2 + 2*h**2 + 44*h - 14*h**2 - 25*h as s*h + x + j*h**2 and give j.
-25
Rearrange 0 - 2*p**4 - 5943*p**3 + 2*p - 1 + 5941*p**3 - 6*p**2 to the form t*p + j*p**2 + m*p**3 + l*p**4 + s and give m.
-2
Rearrange (221 - 405 + 333)*(0*y**2 + 5*y**2 - 2*y**2) to the form m*y + d + f*y**2 and give f.
447
Rearrange (4*x - 3*x + 0*x)*(176 + 942 + 488 + 1270) to the form m + q*x and give q.
2876
Rearrange (1 + 2 - 2)*(10 + 2*k + 5 - 16) + 0*k - k + 3*k + (-38 - 8 - 9)*(0*k - 3*k + k) to s*k + m and give m.
-1
Express -k**2 + 807 - 807 + 46*k in the form g + b*k**2 + z*k and give z.
46
Express -q**2 + 2646*q**3 + 48*q + 2*q**2 - 2645*q**3 in the form u*q + j*q**3 + s + k*q**2 and give j.
1
Rearrange 2*l**3 + 11145*l + l**4 - 11145*l + 23*l**2 to the form o + r*l**2 + j*l**4 + k*l + n*l**3 and give r.
23
Express 2*a**2 + 517*a + 7*a**2 - 1035*a - 32 + 519*a in the form h*a**2 + g + l*a and give l.
1
Rearrange 4*o + 7 - 11 + 3 to the form c + u*o and give u.
4
Express (-o + 3*o - 39*o)*((5 - 4 + 0)*(0*o + 4*o - 3*o) - 4*o + 6*o - 4*o) as a + k*o**2 + m*o and give k.
37
Rearrange -94*n + 19*n - 97*n + 19*n to h + a*n and give a.
-153
Express 3*m - 2*m - 11*m + 69*m**3 + 73*m**3 + 6*m as t*m**3 + w + l*m**2 + h*m and give t.
142
Rearrange (-22 + 142 + 167 + (0 + 1 - 4)*(-3 + 1 + 4))*(5*f**4 - f**4 - 5*f**4) to k + x*f**2 + p*f**3 + s*f + c*f**4 and give c.
-281
Rearrange 44 - 34 - 79*f + 90*f to the form d*f + g and give g.
10
Express -257*s + 1 + 507*s - 253*s - 2*s**2 in the form z*s**2 + x*s + o and give o.
1
Express (63*c - 17*c - 118*c)*(-c + 2 - 2 + (c - 5*c + c)*(-4 + 2 + 0)) as i + f*c**2 + p*c and give f.
-360
Rearrange 5*c + c**4 + 234*c**3 - 2 - 236*c**3 + 5 - 3*c - 103*c**2 to the form s + t*c**3 + o*c + w*c**4 + f*c**2 and give w.
1
Rearrange (11*y + 17 - 20*y + 17*y)*(5 - 2 - 2) to h + l*y and give l.
8
Express (-2 - 1 + 1)*(-3*m + m + 4*m) - 4 + 11*m + 4 + (3 + 1 + 0)*(1 - 1 - 2*m) in the form c*m + d and give d.
0
Rearrange -67*z**2 + 233*z**2 - 8*z**2 + 601*z**2 to the form m + o*z**2 + g*z and give o.
759
Rearrange (-2*g**3 - 2*g**3 + 7*g**3 - 1)*(g - 12*g + 4*g) to the form t*g**3 + y*g + a*g**4 + f*g**2 + k and give a.
-21
Rearrange 0*f + 4*f - 12 - 3*f + 13 + 19 to o*f + m and give m.
20
Express (-5*p**2 + 4*p**2 + 6*p**2)*(-9*p**2 + 16*p**2 + 54*p - 8*p**2 + 36*p) in the form s + l*p + a*p**2 + n*p**3 + v*p**4 and give v.
-5
Express 3*h**3 + 3*h**3 - 4*h**3 + (h - 6*h - h)*(-6*h**2 + 6*h**2 - 6*h**2) - h**3 - h + h as x*h**2 + i + m*h + c*h**3 and give c.
37
Express -2*w**4 + 5*w**4 + 0*w**4 + (2*w**2 - 2 + 2)*(w**2 - 8*w**2 + 13*w**2) as u*w**2 + g*w**3 + m*w + j + d*w**4 and give d.
15
Express -11964*y**4 + 0*y**3 + 2*y**3 + 12017*y**4 - 3*y**2 + 2 as v*y**3 + j + f*y**2 + c*y**4 + k*y and give j.
2
Express (6 - 4*q - 6)*(-53 + 27 + 3)*(-1 - 4 + 4) in the form j + x*q and give x.
-92
Rearrange 2 - 18*n**4 + 20*n**4 - 3*n**2 + 19*n**3 - 2 + 1 to g*n**3 + s*n + k*n**2 + z + m*n**4 and give g.
19
Rearrange -38*i - i**2 - 32*i - 7*i + (-4*i**2 + 6*i**2 + 0*i**2)*(-3 + 7 - 3) to s + j*i + z*i**2 and give j.
-77
Express -d**2 - 2*d**2 - 18*d + 1 - 3*d**2 + d**2 + 57*d as o*d**2 + v*d + t and give o.
-5
Express -3*f + 2*f**3 - 51 + 110 + f**4 - 51 - 2*f**2 as c*f + r*f**2 + d*f**4 + g + w*f**3 and give d.
1
Rearrange -378*s**2 + 379*s**2 - 3 - 4 - 2*s**4 to a*s**2 + f*s**4 + y*s + g + i*s**3 and give f.
-2
Express 30*t**3 + 2*t**4 + 23*t**3 - 2*t**4 - t - 4*t**4 - 2*t**2 + t**4 in the form k + c*t**3 + b*t**4 + r*t + m*t**2 and give k.
0
Express -3*c + 4*c + 0*c + (0*c + 2*c + 0*c)*(-3 + 4 + 1) + 1 - c - 1 - 7*c + 75*c + 42*c as k*c + x and give k.
114
Express (-3*t + t + t)*(-7 + 7*t + 7 + (4 + 1 - 2)*(2*t - 10 + 10) + t - 3*t + 4*t + 2*t - t + 0*t) in the form w*t**2 + r*t + s and give w.
-16
Express 18 + 14 + 46872*g - 46844*g in the form j*g + f and give f.
32
Rearrange 20187*r - 20187*r + 162*r**2 to g*r**2 + u + p*r and give g.
162
Rearrange 14*o**3 - 2*o**2 - 2*o - o**2 - 2 - 26*o**3 - 30*o**3 to the form l*o + g + z*o**3 + d*o**2 and give l.
-2
Express 11 + 0 - 9 + 106*k in the form q + u*k and give u.
106
Express -158*t - 720 + 85*t + 74*t in the form h*t + l and give l.
-720
Rearrange -112*n**2 + n + 232*n**2 - 18 - 118*n**2 + 3*n to m + p*n**2 + o*n and give o.
4
Express 16*n - 10 - 25*n + 8*n + 3*n**3 in the form a*n**2 + b*n**3 + x*n + k and give b.
3
Rearrange 18*y**3 + 1 + 6*y**3 + 2*y - 21*y**3 - 12*y**2 to w + c*y**2 + g*y**3 + t*y and give g.
3
Express 0*s**4 + s**2 + 2*s**4 - 1 - s**2 + 38*s - s**2 + 3*s**2 in the form d + a*s**3 + c*s**2 + k*s + i*s**4 and give i.
2
Express 0*j + 29*j - 13*j as n*j + h and give n.
16
Express -3*y**2 + 200*y - 221*y + 4*y**2 - 4*y**2 - 2*y**2 as i*y**2 + t + o*y and give i.
-5
Rearrange -x**2 - 2*x**2 + x**2 - 2 - 3*x**2 + 2 + (-3 + 3 + 2*x)*(4*x + 3*x - 5*x) + 1826*x**2 - 4212*x**2 + 1881*x**2 to u*x**2 + m + z*x and give u.
-506
Rearrange 368 + 116 + a**2 - 178 + 0*a**2 + 467 to v*a + r*a**2 + t and give t.
773
Rearrange 3*b**4 + 8*b**3 - 8*b**4 + 6*b**4 + 33*b - 4*b**3 - b to the form u*b + k + c*b**4 + j*b**2 + w*b**3 and give j.
0
Express 53 - i - 10*i**3 - 28 - i**2 - 25 as f*i + q*i**2 + j + m*i**3 and give f.
-1
Rearrange (0*p - 2*p + 3*p)*(-21 + 21 + 11*p) - 4*p**2 - 7*p + 7*p to the form g*p**2 + n + t*p and give g.
7
Express (0 + 1 - 3)*(1 - 1 - 4)*(2*x - 3*x + 3*x) as p + y*x and give y.
16
Rearrange -4840*w + 4840*w + 12*w**3 + 5*w**2 - 4*w**3 to c + s*w**3 + l*w**2 + z*w and give l.
5
Express -1416*h - 223*h + 267*h - 701*h - 630*h in the form d*h + r and give d.
-2703
Rearrange 1 - 117*y + 23*y + 1 - 56*y to k*y + r and give r.
2
Express 0 - 2 - 17*u - 5*u - 1 - 3*u in the form x + n*u and give n.
-25
Rearrange 11*c - 5*c**2 - 2*c**3 + 2*c**2 - 132*c**4 + 126*c**4 - 12*c to j*c**2 + w + v*c**4 + x*c**3 + r*c and give x.
-2
Rearrange -115*v + 708*v - 48*v + 552*v to the form d*v + p and give d.
1097
Rearrange (-2*n**2 + n**2 + 0*n**2)*(9 - 11 + 17)*(12*n**2 + 3 + 0 - 6*n**2) to v*n**3 + r*n + f*n**2 + s*n**4 + h and give s.
-90
Express ((-3 + 3 - 1)*(44 + 51 - 8) - 4 + 3 - 1)*(-7*b + 2*b - 4*b) as n + z*b and give z.
801
Rearrange -52*u**3 + 2 + 14*u**3 - 351*u**3 to q + r*u**2 + w*u + v*u**3 and give v.
-389
Rearrange (1 + 0*c**2 + 2*c**2 + 0*c**2)*(37088 + 163*c - 37088) to the form b*c + m*c**3 + n + d*c**2 and give b.
163
Express 60*v - 100*v**4 + 3 + 2*v**3 + 0 + 2*v**2 - 5 - 58*v as k + r*v**4 + q*v**2 + y*v**3 + d*v and give k.
-2
Rearrange (3 + 1 + 3 - 5 - 151*z)*(-8*z**3 + 0*z**3 - 4*z**3) to n*z**4 + q*z**2 + k + x*z + f*z**3 and give n.
1812
Express (-4377 + 4373 - 3*q + q)*(0 + 1 - 2) as h + l*q and give l.
2
Express -2*v**2 - 6 + 5*v**2 - 3*v - 6*v**3 + 4*v**3 + 0*v - 4*v**4 as q*v**3 + r*v**4 + k*v + o + s*v**2 and give r.
-4
Express -296*x + 114*x + 655*x + 563*x in the form k + z*x and give z.
1036
Rearrange (15 - 13 + 24 + 17)*(10*r**4 + 3*r**4 - 3*r**4) to o*r + s*r**4 + p*r**2 + w*r**3 + u and give o.
0
Rearrange -785*l + 203*l - 197*l to q*l + z and give q.
-779
Rearrange (2*t - 1 + 1)*(36*t - 49*t - 54*t - 13*t - 117*t) to the form r*t**2 + v*t + k and give v.
0
Express -s**4 - 44*s**3 - 2*s**2 - 58 + 9 + 26 + 24 in the form i*s**4 + q*s**2 + u*s**3 + t*s + n and give i.
-1
Express -4*q**4 - 260*q**3 + 2 + 0*q**4 + 2*q**4 + 265*q**3 + 6*q**2 as k*q**4 + o + l*q**2 + c*q**3 + t*q and give k.
-2
Express (3*i**2 - 5*i**2 - 2*i**2)*(-96*i**2 - 1303 + 1303) in the form n*i**4 + a*i**2 + x*i**3 + t*i + m and give n.
384
Rearrange 2999 - 108*i**2 + 50*i - 3000 + 3*i**3 - 50*i to the form h*i**2 + w*i + m + d*
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 0 + 258*t**3 as q*t**2 + f*t + l + n*t**3 and give n.
-3
Express -r + 2*r + 3*r**2 - 458*r**4 + 452*r**4 + 1 as c*r + u + q*r**3 + k*r**4 + j*r**2 and give j.
3
Rearrange -159*t + 493*t - 158*t - 172*t + 18 to the form x*t + g and give g.
18
Rearrange 1627137*x + x**2 - 2 - 1627339*x - 1 to l*x**2 + b + i*x and give i.
-202
Express 2 + 1 + 294*p + 5 + 430*p - 9 as r*p + b and give b.
-1
Rearrange -10*i**2 - 4*i**4 - 122*i + i**3 + 49*i + 77*i to f*i**2 + y*i**3 + v + b*i + u*i**4 and give y.
1
Rearrange 20849*f**3 + 20970*f**3 + 28*f**2 - 2 - 41419*f**3 to the form y*f + z*f**3 + x + s*f**2 and give z.
400
Rearrange 3768*z**2 + 2537 - 2537 to v*z**2 + i*z + c and give i.
0
Express (3*s - 2*s + s)*(19407 + 6164 + 114 + 3065) in the form o + z*s and give z.
57500
Rearrange 16265*g + 7136*g + 14312*g - 2799*g + 1444*g to the form z*g + q and give z.
36358
Express 9*n**2 + n**3 - 7*n**2 + 416*n**4 + 2 - 287*n**4 + n**2 as y*n + f*n**3 + s + d*n**2 + r*n**4 and give d.
3
Express ((27*h - 60*h + 23*h)*(12 - 2 + 7) + 4*h + 0*h - 6*h)*(-2 + 5 - 4) as r*h + y and give r.
172
Rearrange (-4 - 10 - 76 + 5*z - 4*z)*(25 - 7 + 47) to a*z + w and give a.
65
Express -o + 931835*o**2 + 2 - 930176*o**2 - 1 - o - 2*o**3 in the form g + m*o**2 + z*o**3 + u*o and give u.
-2
Rearrange (21*l**2 - 1 - 9*l**2 - 13*l**2 - 7*l)*(3 - 37 + 3) - 2*l + 2*l + 2*l**2 to the form r + q*l**2 + o*l and give o.
217
Express 326*l + 1116*l - 65 + 65 - 110*l in the form t + q*l and give q.
1332
Express -220*g**3 - 67*g + 5 - 383*g**3 + 0*g**2 - 2*g**2 + 68*g as q + n*g**3 + p*g**2 + x*g and give p.
-2
Rearrange -379 - 185 + 46 + p + 61 - 10*p to s*p + w and give w.
-457
Express -2*r - 3*r**2 + 8987*r**3 + r**2 - 9086*r**3 + (-r**2 + r**2 - 7*r**2)*(0 - r + 0) in the form f + s*r**2 + i*r + u*r**3 and give s.
-2
Express 10*w - 66 + 120 + 25 as g*w + t and give t.
79
Express 3566*d + 5305*d + 55*d + 6176*d - 346*d as l*d + w and give l.
14756
Rearrange (9 - 36 - 4)*(1 - 4 + 1)*(-6*k - 28 + 28)*(-2 + 5 - 5)*(-89*k - 108*k + 162*k) to the form f + q*k**2 + o*k and give q.
-26040
Express 38*f + 9*f + 11*f - 4 + 3*f + 4 + (0*f - 2*f + 0*f)*(-3 + 0 + 1) + 2*f - 3*f + 2*f - f + 0*f - f in the form p*f + n and give p.
64
Rearrange (l - 1 + 1 + (3 + 2 - 7)*(2*l - l + l))*(21346 + 15363 + 6327) to p*l + z and give p.
-129108
Express -1 + 416*z**2 - 2033*z**2 + 300*z**2 in the form r*z**2 + w*z + n and give n.
-1
Rearrange 9*d - 4*d + 3 - 26*d - 31*d - 13 to the form f*d + o and give f.
-52
Express 95*p + 84*p - 337*p + 83*p + 77*p - 18476 in the form v*p + k and give k.
-18476
Rearrange -2*s**2 - s**4 - 890*s - 844*s + 1728*s - s**3 - 3 to g + a*s**2 + m*s + b*s**4 + l*s**3 and give a.
-2
Express 5*s + 62734*s**2 + 62637*s**2 - 125220*s**2 as v*s + r + o*s**2 and give o.
151
Rearrange (-2358*p**2 + 2*p - 1790 + 1792 - 822*p**2)*(0 + 0 + 4)*(0*p + 0*p + 2*p) to v*p + z + l*p**2 + u*p**3 and give u.
-25440
Rearrange 45*u + 34 - 99*u + 197*u - 10 to the form d + z*u and give d.
24
Rearrange (-1 + 1 - 3*g)*(239 - 65 - 3633) to l + q*g and give q.
10377
Rearrange 35537*u**4 - 35545*u**4 + u**2 - 14*u**3 + 12*u - 22*u + 2 + 8*u to y*u**2 + b*u + s*u**3 + k + j*u**4 and give k.
2
Rearrange -1450 + 1450 + 52*k + (2130 - 62*k - 2130)*(4 - 5 + 3) + k + k - k to the form m + a*k and give a.
-71
Express (-3616 - 17*y + 3616)*(-44*y + 324 - 324) + (4*y + y - 3*y)*(2*y + 0*y - 4*y) in the form a*y + v*y**2 + r and give v.
744
Rearrange -72 + 6*x**2 + 72 + (0 + 3 - 2)*(-3*x**2 + 0*x**2 + 2*x**2) + 2*x**2 - x**2 + x**2 - 28*x**2 - 20*x**2 + 1 + 6*x**2 to b + r*x**2 + h*x and give b.
1
Express ((1 + 0 + 3)*(0*a + 2*a**3 + 0*a) + a**3 - 4 + 4)*(-37*a + 68 + 28*a - 3*a) in the form x*a + b*a**2 + f*a**4 + d + i*a**3 and give x.
0
Rearrange -1140*t - 1714*t - 1979*t to j + k*t and give k.
-4833
Express (60*x + 5*x - 20*x)*(2*x**3 - 6*x - 58*x + 28 + 62*x) in the form w*x**4 + d*x**2 + f + o*x**3 + n*x and give n.
1260
Rearrange (-18 + 18 - 6*y + (y + 2*y - 5*y)*(-190 + 77 + 71))*(1 - 5 + 2)*(y + 2*y**2 - y) to the form w*y**3 + v*y + s + z*y**2 and give w.
-312
Express (5 - 2*g - 7 + 0)*(-169*g**2 + 169*g**2 + 139*g**3) as b*g**3 + x*g**2 + l*g**4 + n*g + q and give n.
0
Express -76*i**2 - 244 + 291 - 15*i**2 in the form r*i + l*i**2 + s and give s.
47
Rearrange (64440 + 60093 - 27530 + 51688)*(-2 + k + 2) to p*k + a and give p.
148691
Rearrange 3442*u**2 + 126*u**2 + 1901*u**2 + 347*u**2 to c*u**2 + x*u + m and give c.
5816
Express -1407*u**2 + 3077*u**2 - 903*u**2 - u - 1228*u**2 + 2*u**3 - 1 in the form k*u + s + g*u**3 + o*u**2 and give k.
-1
Rearrange -3112*l**2 + 7*l + 4*l + 3015*l**2 to the form c*l**2 + q + i*l and give c.
-97
Express 0*w - 4*w + 2*w + (0*w + 4*w - 2*w)*(58 - 130 + 51) - w + w - 2*w + (3 - 2 - 3)*(-38 + 38 - 7*w) in the form q*w + j and give q.
-32
Express -7549*z + 800 + 2*z**2 - 9011 - 7548*z + 15097*z in the form a*z + w*z**2 + b and give b.
-8211
Express -124*x**2 + 226*x**2 + 7*x**3 - 3*x**3 + 169*x**2 in the form s*x**2 + g*x + q + c*x**3 and give s.
271
Express 471*y - 473*y - 8*y**3 - 9*y**2 + 9*y**2 as a + p*y + g*y**2 + q*y**3 and give a.
0
Rearrange 59*x**2 - 7*x + 61*x**2 - 199*x**2 + 20*x**3 + 1 + 78*x**2 to the form g*x + h*x**2 + p*x**3 + o and give o.
1
Rearrange -14 - 216 - 973*v - 14*v**2 + 487*v + 484*v + 8 to m*v**2 + w + g*v and give g.
-2
Express -322*n - 866*n + 212*n - 690*n - 290*n in the form m*n + b and give m.
-1956
Express -2*k**2 + 53*k**3 - 152696 + 152686 + 24*k**3 in the form x*k + u*k**2 + s*k**3 + c and give c.
-10
Rearrange 12*r**3 + 9*r - 5 - 12*r**3 - 20*r - 3*r**3 + 4*r**2 to v*r**3 + m*r**2 + x + p*r and give p.
-11
Rearrange (-34*p**2 + 101*p**2 - 22*p**2)*(-2*p**2 + 2*p**2 + p**2 + (15 + 14*p - 15)*(4*p - 3*p - 4*p)) to z*p**3 + s*p**2 + g + j*p + l*p**4 and give l.
-1845
Rearrange -424*d**3 + 424*d**3 - 7*d**4 + 8 - 8*d**2 + 9*d**4 - 24 to the form x*d**2 + l*d**4 + r*d + z + a*d**3 and give l.
2
Express (22840 - 30937*n - 45681 + 22840)*(-3 + 1 + 0)*(2*n - 3*n - n) in the form a*n + u*n**2 + z and give u.
-123748
Express (0*s + s - 2*s)*(57*s + 40820 + 58*s + 63*s - 234*s + 57*s) in the form g*s**2 + t + o*s and give g.
-1
Express -3*i**2 + 3*i**2 - 2*i**4 + (7*i**3 - 5*i**3 - 6*i**3)*(2722 - 202*i - 2722) in the form d + a*i**3 + w*i + j*i**4 + h*i**2 and give j.
806
Express 154*r**4 - 157*r**4 + 2 + r**2 + 49325*r**3 + r - 49171*r**3 as j*r + x*r**4 + v*r**3 + t*r**2 + n and give x.
-3
Express 2173*z**2 + 2205*z**2 - 4381*z**2 + 82*z as f*z + i + h*z**2 and give f.
82
Rearrange 1217 - 1040*a - 610 + 318*a - 607 to h + b*a and give b.
-722
Rearrange (682*u + 3311*u + 963*u)*(-3 + 1 + 4 + u) to the form f*u**2 + r + v*u and give f.
4956
Express k**2 + k**2 - 2 + 22*k + 136*k + 19*k in the form v*k**2 + u + i*k and give i.
177
Express (2*b**2 + 0*b**2 + 0*b**2)*(-2*b**2 - 1 + 1) + 57*b**4 - 102*b**4 - 630 + 44*b**4 as l*b**3 + a*b**4 + d*b + u + i*b**2 and give a.
-5
Express (-1388 + 2685 - 1352)*(1846 - 7*j**3 + 0*j**3 - 1848) as k + v*j + u*j**2 + p*j**3 and give k.
110
Express -86*l**3 + 321*l**3 + 2 - 199836*l + 199832*l in the form n + d*l**3 + f*l**2 + s*l and give d.
235
Express -3*s - 631 + 2*s + 622 as z + g*s and give z.
-9
Express -93*g**3 + 2 - 100*g**3 + 296*g**3 - 99*g**3 - 24*g**4 - 20*g**4 + 9*g in the form x*g**2 + c*g**4 + a + l*g + r*g**3 and give l.
9
Express (-4 + 2 - 3)*(-7*i - 4*i + 3*i)*(59 - 80 + 40) as o*i + r and give o.
760
Express b - b - 2*b + (0*b - 2*b - 3*b)*(-5 + 2 + 1)*(-25 + 13 - 14) as x*b + k and give x.
-262
Express -3*m**3 - 2*m**4 - 145*m + 94 + 107 - m**2 - 202 as u*m**2 + t + i*m + y*m**4 + d*m**3 and give i.
-145
Express ((3 - 3 + 2*g**4)*(1 - 2 - 1) - 4*g**4 + 4*g**4 + g**4)*(17777 + 118 + 27453 + 26295 + 27953) as l + c*g + a*g**4 + q*g**2 + b*g**3 and give a.
-298788
Rearrange 117 + 120 + 132 + 883*c**2 - 363 to m*c**2 + g*c + r and give m.
883
Express 3*p**3 - 1 - 209*p - 82 + 82 in the form y*p**3 + a + d*p**2 + z*p and give z.
-209
Express -9900*j - 10781*j + 7469*j - 4808*j - 10798*j in the form a*j + l and give a.
-28818
Rearrange -5491 + 11049 - 5469 + 58*b to the form q + s*b and give s.
58
Rearrange (-1007 + 1096 - 2258 - 3*z)*(0*z + 3*z + 0*z) to c + q*z + n*z**2 and give q.
-6507
|
{
"pile_set_name": "DM Mathematics"
}
|
/7
Factor 5*u**4 + 450*u**3 + 9180*u**2 - 42770*u + 33135.
5*(u - 3)*(u - 1)*(u + 47)**2
Factor -375*c**3/7 + 21600*c**2/7 - 414720*c/7 + 2654208/7.
-3*(5*c - 96)**3/7
Find w such that 2*w**2/17 - 84*w/17 + 784/17 = 0.
14, 28
Factor 4*l**5 + 72*l**4 + 336*l**3 + 616*l**2 + 492*l + 144.
4*(l + 1)**3*(l + 3)*(l + 12)
Let -98*l**5 + 302*l**3 - 196*l**2 - 24*l + 16 = 0. What is l?
-2, -2/7, 2/7, 1
Factor -3*c**5/2 - 9*c**4 - 27*c**3/2 - 6*c**2.
-3*c**2*(c + 1)**2*(c + 4)/2
Determine v so that 4*v**2 + 192*v - 1792 = 0.
-56, 8
Solve -2*b**3/11 + 20*b**2/11 + 74*b/11 + 52/11 = 0 for b.
-2, -1, 13
Factor -3*t**4/5 - 174*t**3/5 - 2484*t**2/5 + 3174*t + 401511/5.
-3*(t - 11)*(t + 23)**3/5
Solve -2*a**3 + 42*a**2 + 2*a - 42 = 0 for a.
-1, 1, 21
Determine w so that w**4 + 35*w**3 + 67*w**2 + 33*w = 0.
-33, -1, 0
Determine j so that 4*j**5 + 12*j**4 - 12*j**3 - 44*j**2 - 24*j = 0.
-3, -1, 0, 2
What is x in 3*x**4/4 - 27*x**3/4 + 39*x**2/4 + 27*x/4 - 21/2 = 0?
-1, 1, 2, 7
What is x in -2*x**4/7 - 268*x**3/7 - 1304*x**2/7 - 1812*x/7 - 774/7 = 0?
-129, -3, -1
Factor -2*o**3/3 - 106*o**2/3 - 292*o/3 + 400/3.
-2*(o - 1)*(o + 4)*(o + 50)/3
Suppose -220*a**5 - 3120*a**4 - 10515*a**3 - 13855*a**2 - 7140*a - 900 = 0. What is a?
-10, -3/2, -1, -2/11
What is l in -2*l**5/5 - 38*l**4/5 - 26*l**3/5 + 174*l**2/5 - 108*l/5 = 0?
-18, -3, 0, 1
Factor 2*s**2/5 - 72*s/5.
2*s*(s - 36)/5
Let 2*p**3/15 + 2*p**2/5 + 2*p/5 + 2/15 = 0. Calculate p.
-1
Find d such that 35*d**3 + 1405*d**2 + 160*d - 1600 = 0.
-40, -8/7, 1
Factor -108*v**2 - 8*v.
-4*v*(27*v + 2)
Solve -15*q**3 - 20*q**2 + 45*q + 50 = 0 for q.
-2, -1, 5/3
Factor -c**5 - 3*c**4 - 2*c**3 + 2*c**2 + 3*c + 1.
-(c - 1)*(c + 1)**4
Factor -3*j**2 - 7302*j - 4443267.
-3*(j + 1217)**2
Find h such that 20*h**3/3 + 512*h**2/3 - 208*h/3 = 0.
-26, 0, 2/5
Let -b**3/2 + 52*b**2 + 105*b/2 = 0. What is b?
-1, 0, 105
Factor 2*c**3/3 + 6*c**2 + 12*c.
2*c*(c + 3)*(c + 6)/3
Factor 2*q**5 + 40*q**4 + 290*q**3 + 900*q**2 + 1080*q + 432.
2*(q + 1)**2*(q + 6)**3
Factor -x**4/5 - 52*x**3/5 - 798*x**2/5 - 980*x - 10633/5.
-(x + 7)**3*(x + 31)/5
Solve 2*t**3 - 10*t**2 + 6*t + 18 = 0.
-1, 3
Let u**3/5 + 231*u**2/5 - 140*u + 468/5 = 0. Calculate u.
-234, 1, 2
Suppose l**3/4 + 5*l**2/4 + 7*l/4 + 3/4 = 0. Calculate l.
-3, -1
Suppose i**4/9 - 11*i**3/9 + 4*i**2 - 4*i = 0. Calculate i.
0, 2, 3, 6
Find o such that o**5 + 14*o**4 + 69*o**3 + 144*o**2 + 108*o = 0.
-6, -3, -2, 0
Factor -4*q**2 + 76*q + 264.
-4*(q - 22)*(q + 3)
Solve -5*v**2 + 40*v + 100 = 0 for v.
-2, 10
Factor -5*p**2 - 120*p - 640.
-5*(p + 8)*(p + 16)
Factor -4*x**4/21 - 6*x**3 + 64*x**2/21.
-2*x**2*(x + 32)*(2*x - 1)/21
Find f such that 10*f**3 + 44*f**2 - 90*f + 36 = 0.
-6, 3/5, 1
Factor -7*l**5 - 16*l**4 - 6*l**3 + 8*l**2 + 5*l.
-l*(l + 1)**3*(7*l - 5)
Solve -3*l**2/4 + 69*l/2 = 0 for l.
0, 46
Find c, given that 8*c**5 + 244*c**4 - 416*c**3 - 1036*c**2 - 384*c = 0.
-32, -1, -1/2, 0, 3
Let 3*n**5 - 51*n**4 + 198*n**3 + 66*n**2 - 681*n - 495 = 0. What is n?
-1, 3, 5, 11
Solve 3*v**2 - 21*v + 18 = 0 for v.
1, 6
Suppose b**2 + 112*b + 3136 = 0. What is b?
-56
Factor -3*b**3 - 447*b**2 - 16425*b + 16875.
-3*(b - 1)*(b + 75)**2
Solve -p**4 + 44*p**3 + 93*p**2 - 44*p - 92 = 0 for p.
-2, -1, 1, 46
Factor -r**3 + 159*r**2 - 5544*r - 63504.
-(r - 84)**2*(r + 9)
Determine v so that -3*v**2/7 + 51*v/7 - 30 = 0.
7, 10
Factor -2*t**5 + 88*t**4 - 1256*t**3 + 5220*t**2 + 9450*t - 13500.
-2*(t - 15)**3*(t - 1)*(t + 2)
Find n such that 4*n**4/7 - 2*n**3/7 - 22*n**2/7 - 22*n/7 - 6/7 = 0.
-1, -1/2, 3
Suppose -20*g**5 - 416*g**4 - 1412*g**3 + 7608*g**2 - 9216*g + 3456 = 0. Calculate g.
-12, 1, 6/5
Factor -4*v**3 - 68*v**2.
-4*v**2*(v + 17)
Solve -42*q**5 + 171*q**4 - 222*q**3 + 99*q**2 - 6*q = 0.
0, 1/14, 1, 2
Solve h**5/5 + 14*h**4/5 + 33*h**3/5 - 4*h**2/5 - 44*h/5 = 0.
-11, -2, 0, 1
Solve -i**2/5 + i/5 = 0 for i.
0, 1
Solve -2*i**3/5 + 2*i**2/5 + 8*i = 0 for i.
-4, 0, 5
Factor u**4 - 4*u**3 + 5*u**2 - 2*u.
u*(u - 2)*(u - 1)**2
Suppose 104*f**3 + 62*f**2 - 12*f = 0. What is f?
-3/4, 0, 2/13
Factor 7*b**4/3 - 9*b**3 - 25*b**2/3 + 41*b + 6.
(b - 3)**2*(b + 2)*(7*b + 1)/3
Factor 3*o**3/8 + 21*o**2/8 - 387*o/8 - 405/8.
3*(o - 9)*(o + 1)*(o + 15)/8
Factor -673445*y**3 + 666105*y**2 + 7320*y + 20.
-5*(y - 1)*(367*y + 2)**2
Factor i**3 - 37*i**2 - 250*i - 344.
(i - 43)*(i + 2)*(i + 4)
Find o, given that 4*o**2 + 1720*o + 184900 = 0.
-215
What is n in -n**5/10 + 3*n**4/10 - n**3/5 = 0?
0, 1, 2
Let -5*o**3 + 770*o**2 - 30400*o + 57760 = 0. Calculate o.
2, 76
Let 2*h**2 - 344*h + 14792 = 0. What is h?
86
Factor -5*u**5 - 160*u**4 - 1280*u**3 - 4230*u**2 - 6075*u - 2970.
-5*(u + 1)*(u + 3)**3*(u + 22)
Factor -2*d**4 - 12*d**3 - 24*d**2 - 16*d.
-2*d*(d + 2)**3
Factor -4*q**3 - 312*q**2 + 316*q.
-4*q*(q - 1)*(q + 79)
What is h in -4*h**4 + 76*h**3 - 292*h**2 + 132*h + 504 = 0?
-1, 3, 14
Determine r, given that -2*r**3 + 12*r**2 + 54*r = 0.
-3, 0, 9
Find h such that 2*h**2/11 - 94*h/11 + 624/11 = 0.
8, 39
Factor -z**2 - 23*z + 24.
-(z - 1)*(z + 24)
Determine o, given that o**4/2 + 45*o**3/2 + 281*o**2/2 + 579*o/2 + 171 = 0.
-38, -3, -1
Let -3*k**5/7 - 36*k**4/7 + 729*k**3/7 - 3078*k**2/7 + 3888*k/7 = 0. What is k?
-24, 0, 3, 6
Factor 11*r**2 + 2*r - 13.
(r - 1)*(11*r + 13)
Let y**2/5 - 132*y/5 + 4356/5 = 0. Calculate y.
66
Factor 25*a**4 + 4490*a**3 + 268200*a**2 + 5292000*a - 2160000.
5*(a + 60)**3*(5*a - 2)
Find p such that -2*p**2/3 + 68*p - 1734 = 0.
51
Let -8*f**2/9 - 82*f/3 + 62/9 = 0. What is f?
-31, 1/4
Determine i so that -2*i**3 - 76*i**2 + 158*i - 80 = 0.
-40, 1
Find u, given that -4*u**5 - 44*u**4 + 100*u**3 - 52*u**2 = 0.
-13, 0, 1
Find y, given that 2*y**4/9 + 34*y**3/9 - 18*y**2 + 14*y = 0.
-21, 0, 1, 3
What is t in -t**3 + 5*t**2 - 7*t + 3 = 0?
1, 3
Factor 2*x**2 - 2.
2*(x - 1)*(x + 1)
Suppose 3*p**2/7 - 12*p/7 - 180/7 = 0. What is p?
-6, 10
Factor -2*v**3/3 + 2*v**2 + 92*v/3 + 48.
-2*(v - 9)*(v + 2)*(v + 4)/3
Suppose -9*g**3 + 645*g**2 + 222*g - 432 = 0. What is g?
-1, 2/3, 72
Find l, given that 3*l**2/5 + 786*l/5 + 51483/5 = 0.
-131
Factor -2*j**2/7 + 5916*j/7 - 4374882/7.
-2*(j - 1479)**2/7
Solve 2*f**2/3 + 256*f/3 - 262 = 0 for f.
-131, 3
Solve -5*m**3 + 2605*m**2 + 5*m - 2605 = 0.
-1, 1, 521
Factor 4*q**2/5 + 16056*q/5 + 16112196/5.
4*(q + 2007)**2/5
Factor 2*f**4/11 + 16*f**3/11 + 10*f**2/11 - 100*f/11.
2*f*(f - 2)*(f + 5)**2/11
Factor i**4 + 2*i**3.
i**3*(i + 2)
Solve 6*c**4/5 - 88*c**3/5 - 54*c**2/5 + 352*c/5 + 24 = 0.
-2, -1/3, 2, 15
Solve -2*f**3 + 4*f**2 + 362*f - 364 = 0 for f.
-13, 1, 14
Solve -g**5/3 - 64*g**4 + 193*g**3/3 = 0 for g.
-193, 0, 1
Suppose 2*y**4/13 - 24*y**3/13 - 56*y**2/13 = 0. What is y?
-2, 0, 14
Determine r so that 5*r**3 + 4925*r**2 + 1215240*r + 1210320 = 0.
-492, -1
Suppose -2*d**2/9 - 2*d/3 + 4 = 0. What is d?
-6, 3
Determine p so that p**3 + 102*p**2 + 2700*p + 5000 = 0.
-50, -2
Let -3*b**4 - 126*b**3 - 1839*b**2 - 10296*b - 14196 = 0. What is b?
-14, -13, -2
Suppose -2*w**5/11 - 4*w**4/11 + 4*w**3/11 + 8*w**2/11 - 2*w/11 - 4/11 = 0. Calculate w.
-2, -1, 1
Find o such that 2*o**4/3 - 454*o**3/3 + 8512*o**2 + 8664*o = 0.
-1, 0, 114
Factor r**3/5 - 9*r**2/5 - 21*r/5 - 11/5.
(r - 11)*(r + 1)**2/5
Determine o so that 2*o**4/13 - 24*o**3/13 + 22*o**2/13 = 0.
0, 1, 11
Let -36*a**3/13 + 34*a**2/13 + 74*a/13 + 4/13 = 0. What is a?
-1, -1/18, 2
Find x such that -2*x**4/15 - 34*x**3/3 + 356*x**2/5 - 2168*x/15 + 1456/15 = 0.
-91, 2
Factor 2*x**3 - 16*x**2 + 14*x.
2*x*(x - 7)*(x - 1)
Factor -2*s**5/7 + 40*s**4/7 - 300*s**3/7 + 1000*s**2/7 - 1250*s/7.
-2*s*(s - 5)**4/7
Solve -25*f**4/2 - 255*f**3 + 1625*f**2/2 + 1515*f + 460 = 0.
-23, -1, -2/5, 4
Determine m so that 3*m**3/2 + 153*m**2 + 4554*m + 31740 = 0.
-46, -10
Determine k so that k**3 + 31*k**2 + 224*k - 256 = 0.
-16, 1
Factor -16*n**4 + 14800*n**3 - 3429892*n**2 + 3418800*n - 853776.
-4*(n - 462)**2*(2*n - 1)**2
Determine h so that -3*h**3/7 - 9*h**2 - 432*h/7 - 960/7 = 0.
-8, -5
Factor t**2/6 + 113*t/6 - 58.
(t - 3)*(t + 116)/6
Factor j**2/4 - 5*j/2 + 25/4.
(j - 5)**2/4
Factor 2*o**2/3 - 56*o + 1176.
2*(o - 42)**2/3
Factor 5*f**2 - 80*f - 285.
5*(f - 19)*(f + 3)
Factor 147*p**3 + 598500*p**2 - 342036*p + 48864.
3*(p + 4072)*(7*p - 2)**2
Factor -2*g**2/3 - 22*g - 64/3.
-2*(g + 1)*(g + 32)/3
Let -4*a**2 - 3960*a + 7
|
{
"pile_set_name": "DM Mathematics"
}
|
common factor of 242985 and 240?
15
Calculate the greatest common divisor of 63844 and 65739006.
2902
What is the greatest common divisor of 210 and 1477185?
15
Calculate the highest common factor of 465 and 1796915.
155
What is the greatest common factor of 265 and 219103855?
265
What is the highest common divisor of 255906 and 94227?
21
Calculate the greatest common factor of 1452436 and 68324.
2204
Calculate the highest common factor of 39789 and 504816306.
13263
What is the greatest common factor of 484270348 and 472?
236
Calculate the greatest common factor of 27635875 and 375.
125
Calculate the greatest common divisor of 1236 and 14469234.
618
Calculate the greatest common factor of 18079 and 235633.
101
Calculate the highest common divisor of 119862067 and 28795.
5759
What is the highest common factor of 513 and 7486?
19
Calculate the highest common factor of 1324822 and 3034.
74
Calculate the highest common factor of 71 and 2013475439.
71
Calculate the greatest common factor of 24989891 and 207.
23
Calculate the greatest common factor of 54964 and 825734.
182
What is the highest common divisor of 48 and 192562000?
16
Calculate the highest common factor of 351 and 25181091.
351
Calculate the highest common divisor of 2610 and 62603982.
522
Calculate the highest common divisor of 792 and 227618721.
99
What is the highest common factor of 278832 and 35434272?
7536
What is the greatest common divisor of 1424750 and 230?
10
Calculate the highest common divisor of 46247 and 4596169.
103
Calculate the greatest common factor of 90063182 and 11.
11
What is the greatest common divisor of 5255 and 17096617?
1051
What is the greatest common divisor of 1909 and 6915311?
83
What is the greatest common factor of 2531348060 and 769?
769
What is the highest common divisor of 22803 and 33?
33
What is the highest common divisor of 724735872 and 7252?
7252
Calculate the greatest common factor of 953140471 and 1101.
367
What is the greatest common factor of 7136 and 4158688?
32
Calculate the greatest common factor of 10 and 20010208.
2
What is the greatest common factor of 12801238 and 5916?
986
What is the greatest common factor of 98288 and 123632?
16
Calculate the greatest common divisor of 4102 and 22512362.
586
Calculate the greatest common factor of 46650895 and 922.
461
Calculate the highest common divisor of 34448 and 672192436.
8612
Calculate the highest common factor of 7840 and 13575058.
98
Calculate the highest common factor of 228 and 178997955.
57
Calculate the greatest common factor of 13670 and 22770.
10
Calculate the highest common factor of 1854880 and 3680.
160
What is the greatest common factor of 11628666 and 8610?
1722
Calculate the greatest common divisor of 2205896 and 36421.
77
Calculate the highest common divisor of 1159 and 834461.
19
What is the greatest common divisor of 9394319 and 77?
11
Calculate the highest common factor of 40548 and 75020.
124
What is the greatest common factor of 115062 and 461154?
906
Calculate the greatest common divisor of 2598540 and 273.
21
Calculate the greatest common divisor of 5240559 and 102351.
939
What is the highest common divisor of 28032 and 132276?
876
Calculate the greatest common factor of 188255 and 302795.
115
What is the greatest common factor of 847 and 1797887?
7
What is the greatest common factor of 5594464 and 1106?
158
Calculate the greatest common factor of 16 and 4129060.
4
What is the highest common divisor of 51062 and 3883858?
242
What is the greatest common factor of 1169738937 and 9?
9
Calculate the greatest common divisor of 9843 and 936751.
17
Calculate the highest common divisor of 522329 and 1843.
19
Calculate the greatest common divisor of 756 and 965034.
378
What is the highest common factor of 4032320 and 60?
20
What is the greatest common divisor of 616101 and 138?
69
Calculate the greatest common factor of 519 and 22929.
3
Calculate the greatest common factor of 60967 and 7749.
41
What is the greatest common divisor of 30 and 124503330?
30
Calculate the highest common divisor of 3315620 and 8470.
770
Calculate the greatest common divisor of 497763519 and 347.
347
Calculate the highest common divisor of 80 and 1810360.
40
What is the greatest common factor of 3991020 and 300?
60
Calculate the greatest common factor of 113099 and 101115.
749
Calculate the highest common factor of 710739 and 86013.
4527
What is the greatest common divisor of 250752 and 6336?
192
Calculate the greatest common divisor of 87054772 and 593.
593
What is the highest common divisor of 130 and 62356960?
10
Calculate the greatest common factor of 580834 and 3154.
166
Calculate the greatest common factor of 96 and 144798492.
12
Calculate the highest common divisor of 691084388 and 7864.
3932
Calculate the highest common factor of 194756 and 1444.
4
Calculate the greatest common divisor of 1720019 and 469.
7
What is the greatest common divisor of 84 and 1277418?
6
What is the greatest common divisor of 729 and 12019752?
729
What is the greatest common factor of 954 and 35437761?
477
Calculate the highest common factor of 4343 and 14089079.
43
Calculate the highest common factor of 2005666 and 2002.
26
Calculate the highest common divisor of 67424 and 142884.
196
Calculate the highest common divisor of 3649 and 210863.
41
Calculate the highest common divisor of 163734 and 9831.
87
Calculate the greatest common factor of 53865 and 1862665.
665
What is the highest common divisor of 160819302 and 2?
2
What is the highest common divisor of 925 and 4263584?
37
What is the highest common factor of 76838 and 30213?
373
Calculate the highest common divisor of 350 and 109667300.
50
Calculate the highest common divisor of 896972 and 3816.
212
Calculate the highest common factor of 688 and 2745292.
172
Calculate the highest common divisor of 767062897 and 167.
167
What is the greatest common divisor of 70 and 60313780?
10
What is the greatest common divisor of 8978583 and 57?
57
Calculate the highest common factor of 554 and 53236.
2
What is the greatest common factor of 1550 and 430870?
10
What is the greatest common factor of 1332 and 526356?
36
What is the highest common divisor of 84 and 789999?
21
What is the greatest common factor of 9532 and 65982887?
2383
What is the highest common divisor of 4028310 and 31590?
1170
What is the greatest common factor of 1240 and 29802?
2
Calculate the highest common divisor of 12 and 30782595.
3
Calculate the greatest common divisor of 1721 and 1355.
1
Calculate the greatest common factor of 36 and 19325028.
12
Calculate the highest common divisor of 1379 and 116487.
7
Calculate the highest common factor of 19036 and 102285187.
4759
Calculate the highest common factor of 228232 and 98324.
188
Calculate the greatest common divisor of 2709116275 and 1475.
1475
What is the greatest common factor of 1226206199 and 14122?
7061
What is the greatest common factor of 288454122 and 4266?
4266
What is the greatest common divisor of 122800 and 5250?
50
What is the highest common factor of 7570572 and 433?
433
Calculate the highest common divisor of 1491 and 10028963.
497
What is the greatest common factor of 4562943 and 759?
33
Calculate the highest common factor of 15858320 and 32.
16
Calculate the highest common divisor of 22838 and 18046828.
1202
Calculate the greatest common factor of 288 and 16796052.
36
Calculate the greatest common factor of 418 and 111112342.
418
Calculate the greatest common factor of 812238 and 5825.
233
Calculate the greatest common divisor of 2179552 and 864.
32
What is the greatest common factor of 2172 and 975199764?
2172
What is the greatest common divisor of 1027904 and 3392?
64
Calculate the highest common divisor of 36 and 181561806.
18
Calculate the highest common factor of 2943185 and 105.
35
Calculate the highest common factor of 176354771 and 87.
29
What is the highest common factor of 4338834 and 9060?
906
What is the greatest common divisor of 1705 and 118756?
11
What is the highest common factor of 50085 and 93928455?
2385
What is the greatest common factor of 1452352 and 768?
64
What is the greatest common factor of 496 and 9622?
2
Calculate the greatest common divisor of 147 and 168326760.
147
Calculate the highest common divi
|
{
"pile_set_name": "DM Mathematics"
}
|
- 12612*c**2/5 + 216*c + 12606/5 = 0. Calculate c.
-11, -1, 1, 191
Suppose -a**4 - 3*a**3 + 47*a**2 + 147*a + 98 = 0. Calculate a.
-7, -2, -1, 7
Solve 3*i**2 - 3885*i + 19350 = 0 for i.
5, 1290
Factor 2*h**3 - 44854*h**2 + 89702*h - 44850.
2*(h - 22425)*(h - 1)**2
Solve 2*u**4/13 + 11826*u**3/13 - 47328*u**2/13 + 47336*u/13 = 0 for u.
-5917, 0, 2
Find k such that 131*k**2/4 - 79*k + 27 = 0.
54/131, 2
Find p, given that -8*p**4/11 + 50*p**3/11 + 516*p**2/11 + 882*p/11 = 0.
-3, 0, 49/4
Factor o**2/4 + 61385*o/2 + 3768118225/4.
(o + 61385)**2/4
Factor -3*i**4/2 + 81*i**3/2 - 255*i**2.
-3*i**2*(i - 17)*(i - 10)/2
Factor -12804959281*k**2/8 + 113159*k - 2.
-(113159*k - 4)**2/8
Solve 2*o**4 + 106*o**3/3 + 214*o**2/3 - 3866*o/3 - 5060 = 0 for o.
-11, -23/3, -5, 6
Factor -4*j**4 + 7002*j**3/5 + 198774*j**2/5 + 1818126*j/5 + 5498118/5.
-2*(j + 9)**3*(10*j - 3771)/5
Suppose -40*l**4 + 7556*l**3 - 57164*l**2 - 5792*l = 0. What is l?
-1/10, 0, 8, 181
Factor -c**3/2 + 603*c**2/2 + 908*c + 606.
-(c - 606)*(c + 1)*(c + 2)/2
Factor -2*f**2/7 + 80*f - 4878/7.
-2*(f - 271)*(f - 9)/7
Solve 12*v**3/7 - 54100*v**2/7 - 90192*v/7 - 36080/7 = 0 for v.
-1, -2/3, 4510
Factor -2*n**2/5 - 21687*n/5 + 10844/5.
-(n + 10844)*(2*n - 1)/5
Find d such that d**4/2 - 61*d**3/2 - 1704*d**2 + 2088*d + 20736 = 0.
-36, -3, 4, 96
Factor 2*g**2 + 178934*g - 357876.
2*(g - 2)*(g + 89469)
Determine a so that 2*a**5/5 - 486*a**4/5 + 26326*a**3/5 - 498658*a**2/5 + 2841072*a/5 - 2368256/5 = 0.
1, 8, 29, 176
Let -706*c**4/5 + 9882*c**3/5 + 10618*c**2/5 + 6*c = 0. What is c?
-1, -1/353, 0, 15
What is p in 5*p**2 - 915*p + 20410 = 0?
26, 157
What is i in 9*i**4 - 1101*i**3 - 25200*i**2 + 9252*i + 17040 = 0?
-20, -2/3, 1, 142
Find v such that 3*v**3 + 198*v**2 + 2589*v + 4410 = 0.
-49, -15, -2
Factor -4*g**2/7 - 12140*g/7 - 12136/7.
-4*(g + 1)*(g + 3034)/7
Let -4*k**4 + 260*k**3 - 2504*k**2 - 58064*k - 103968 = 0. What is k?
-9, -2, 38
Suppose 22*t**2/5 + 966*t/5 + 944/5 = 0. Calculate t.
-472/11, -1
Solve u**2 + 27339*u + 27338 = 0 for u.
-27338, -1
Factor -10*z**2/3 + 5948*z/3 - 1584.
-2*(z - 594)*(5*z - 4)/3
Solve -2*l**2/13 - 2800*l/13 + 82882/13 = 0 for l.
-1429, 29
Factor -2*v**3 - 1560*v**2 + 652800*v - 56320000.
-2*(v - 160)**2*(v + 1100)
Factor -3*b**2/5 + 818946*b/5 - 55889379243/5.
-3*(b - 136491)**2/5
Factor 5*q**5/7 + 2502*q**4/7 + 1000*q**3/7.
q**3*(q + 500)*(5*q + 2)/7
Factor 2*u**3 - 3722*u**2 + 25980*u - 44496.
2*(u - 1854)*(u - 4)*(u - 3)
Factor 2*f**3/21 + 4184*f**2/21 - 16760*f/21 + 16768/21.
2*(f - 2)**2*(f + 2096)/21
Determine g so that 2*g**5/7 - 198*g**4/7 + 738*g**3/7 + 2078*g**2/7 + 1140*g/7 = 0.
-1, 0, 6, 95
Determine z, given that -3*z**4/4 + 423*z**3/4 - 18711*z**2/4 + 255057*z/4 - 219303/2 = 0.
2, 21, 59
Solve g**2/3 - 602*g/3 + 3880 = 0.
20, 582
Factor b**3/3 - 338*b**2/3 + 20719*b/3 - 6794.
(b - 258)*(b - 79)*(b - 1)/3
Factor 5*l**4/2 + 2770*l**3 - 5545*l**2/2.
5*l**2*(l - 1)*(l + 1109)/2
Factor y**3/2 - 2913*y**2/2 + 1455*y + 2912.
(y - 2912)*(y - 2)*(y + 1)/2
Factor c**3 + 5147*c**2 - 118888*c + 113740.
(c - 22)*(c - 1)*(c + 5170)
Let 20*f**3 - 1488*f**2 - 241148*f + 96696 = 0. What is f?
-79, 2/5, 153
Let -5*w**4 + 920*w**3 - 6270*w**2 + 13320*w - 7965 = 0. Calculate w.
1, 3, 177
Find c, given that -2*c**2/15 + 308*c/15 - 608/15 = 0.
2, 152
What is p in -2*p**3/9 - 16*p**2 + 1094*p/9 - 316/3 = 0?
-79, 1, 6
Let -3*z**2/4 - 11355*z/4 + 42750 = 0. Calculate z.
-3800, 15
Solve -248*o**5/7 - 318*o**4/7 + 176*o**3/7 + 316*o**2/7 + 72*o/7 + 2/7 = 0.
-1, -1/4, -1/31, 1
Determine q, given that 3*q**3 + 1410*q**2 - 4257*q = 0.
-473, 0, 3
Factor d**2/5 + 9333*d/5 - 9334/5.
(d - 1)*(d + 9334)/5
Suppose -y**3/8 - 1295*y**2/2 + 10363*y/8 - 2591/4 = 0. Calculate y.
-5182, 1
Determine o, given that -o**5/5 + 71*o**4/5 - 47*o**3 - 443*o**2 + 236*o/5 + 2144/5 = 0.
-4, -1, 1, 8, 67
Let -j**4/2 + 1151*j**3 - 36559*j**2/2 - 19431*j = 0. What is j?
-1, 0, 17, 2286
Let 38*h**3/11 + 74*h**2/11 - 262*h/11 + 150/11 = 0. What is h?
-75/19, 1
Let u**2/2 - 72319*u/2 = 0. What is u?
0, 72319
Suppose 68*a**3 + 53932*a**2 + 6344*a = 0. Calculate a.
-793, -2/17, 0
Solve -2*y**5/7 - 18*y**4 - 250*y**3 + 8670*y**2/7 + 36432*y/7 + 26136/7 = 0 for y.
-33, -2, -1, 6
Suppose -2*i**5 + 852*i**4 + 8*i**3 - 3408*i**2 = 0. What is i?
-2, 0, 2, 426
Find t, given that -2*t**3/9 - 3638*t**2/9 - 50510*t/9 + 18050/3 = 0.
-1805, -15, 1
Find a, given that a**5 + 469*a**4 - 472*a**3 - 940*a**2 = 0.
-470, -1, 0, 2
What is b in -5*b**3 - 145*b**2 + 1825*b - 4875 = 0?
-39, 5
Factor 621*v**3 + 68325*v**2 + 1880175*v + 45375.
3*(v + 55)**2*(207*v + 5)
Solve 2*j**3/13 - 563690*j**2/13 + 1127374*j/13 - 563686/13 = 0 for j.
1, 281843
Find w such that w**5/8 + 218*w**4 - 12249*w**3/8 + 1753*w**2 + 3502*w = 0.
-1751, -1, 0, 4
Factor -d**2/2 + 1804*d + 10833/2.
-(d - 3611)*(d + 3)/2
What is m in -2*m**3/5 - 966*m**2 - 4788*m/5 + 19312 = 0?
-2414, -5, 4
Find o such that o**4 + 84*o**3 + 476*o**2 + 624*o = 0.
-78, -4, -2, 0
Suppose -3*q**5/5 + 138*q**4/5 - 1428*q**3/5 - 3432*q**2/5 = 0. What is q?
-2, 0, 22, 26
Suppose 57122*p**3/11 - 109512*p**2/11 - 9366*p/11 - 196/11 = 0. Calculate p.
-7/169, 2
Find o such that 5*o**5 + 3390*o**4 + 13465*o**3 - 10200*o**2 - 60660*o = 0.
-674, -3, 0, 2
Determine d, given that d**2/4 - 45*d/2 - 73051/4 = 0.
-229, 319
Factor -3*s**3/8 + 87*s**2/4 + 13905*s/8.
-3*s*(s - 103)*(s + 45)/8
Let 2*t**4 + 30850*t**3 + 92536*t**2 + 61688*t = 0. Calculate t.
-15422, -2, -1, 0
Let -3*a**3/7 + 267*a**2/7 + 1980*a/7 + 3456/7 = 0. Calculate a.
-4, -3, 96
Factor 18*y**3 - 39806*y**2 + 159200*y/9 - 5896/3.
2*(y - 2211)*(9*y - 2)**2/9
Solve -2*h**4/15 - 718*h**3/5 - 198594*h**2/5 - 563922*h = 0 for h.
-531, -15, 0
Find q, given that -2*q**3/9 + 56*q**2/9 - 448*q/9 + 1024/9 = 0.
4, 8, 16
Factor n**3 + 169*n**2 - 2896*n + 11840.
(n - 8)**2*(n + 185)
Let -2*x**5/21 + 32*x**4/7 - 670*x**3/21 - 12640*x**2/21 + 32*x + 1792/3 = 0. Calculate x.
-8, -1, 1, 28
Solve 2*p**5 - 512*p**4 + 23730*p**3 + 1228988*p**2 - 94952*p - 4907760 = 0 for p.
-30, -2, 2, 143
Factor -3*w**3/7 + 8973*w**2/7 - 268731*w + 102350547/7.
-3*(w - 2769)*(w - 111)**2/7
Factor 39*f**2/2 - 249*f/4 + 45/4.
3*(f - 3)*(26*f - 5)/4
Solve 2*b**4/15 + 334*b**3/15 - 15228*b**2/5 - 380992*b/15 - 154432/3 = 0.
-254, -4, 95
Solve -5*s**4 + 120*s**3 + 648000*s**2 + 84800000*s = 0.
-200, 0, 424
Factor -5*z**3/3 - 316*z**2/3 - 1221*z - 240.
-(z + 15)*(z + 48)*(5*z + 1)/3
Suppose -6241*j**2/6 + 252326*j/3 - 5100818/3 = 0. Calculate j.
3194/79
Determine g so that 7*g**4/2 - 718*g**3 + 1619*g**2/2 + 1327*g - 204 = 0.
-1, 1/7, 2, 204
Let -5*q**4 + 2920*q**3 - 37230*q**2 + 65720*q - 31405 = 0. What is q?
1, 11, 571
Factor -2*o**4 + 3032*o**3 - 1136936*o**2 - 9241536*o - 18580608.
-2*(o - 762)**2*(o + 4)**2
Find k, given that -5*k**4 + 3535*k**3 - 762795*k**2 + 31044365*k + 4210512020 = 0.
-52, 253
Determine m so that 2*m**5/11 + 92*m**4/11 + 908*m**3/11 + 3248*m**2/11 + 4130*m/11 + 1700/11 = 0.
-34, -5, -1
Determine b so that 21*b**3 - 19*b**2 - 21*b + 19 = 0.
-1, 19/21, 1
Factor -11*m**2/4 + 311*m/2 - 378.
-(m - 54)*(11*m - 28)/4
Determine z, given that 3*z**4 - 9*z**3 - 13977*z**2 + 22785*z + 16206750 = 0.
-50, -45, 49
Factor -3*n**2/7 + 17715*n/7 + 17718/7.
-3*(n - 5906)*(n + 1)/7
Find j such that -j**2/4 - 239*j/4 - 235 = 0.
-235, -4
Factor -5*o**3 + 3435*o**2 - 156240*o + 1840320.
-5*(o - 639)*(o - 24)**2
Let 2*d**2/11 - 1102*d/11 + 6540/11 = 0. What is d?
6, 545
Factor 3*n**2/7 - 79326*n/7 - 45336.
3*(n - 26446)*(n + 4)/7
Factor -g**5/4 - 1245*g**4/4 + 2493*g**3/4 - 1247*g**2/4.
-g**2*(g - 1)**2*(g + 1247)/4
What is l in 5*l**2 + 487650*l + 11890126125 = 0?
-48765
Suppose 4*g**3 - 320*g**2 - 5916*g + 20520 = 0. Calculate g.
-18, 3, 95
Find k, given that 3*k**4/2 - 369*k**3/2 + 1884*k**2 - 3978*k - 6048 = 0.
-1, 6, 112
Determine t, given that 5*t**4 + 592*t**3 + 14581*t**2 - 9202*t - 5976 = 0.
-83, -36, -2/5, 1
Find f such that 5*f**4 + 1035*f**3 - 94545*f**2 + 185965*f - 92460 = 0.
-276, 1, 67
Factor -5*q**2 + 987440*q - 48751887680.
-5*(q - 98744)**2
Suppose -2*u**2/11 - 10246*u/11 + 10248/11 = 0. What is u?
-5124, 1
Factor -2*t**3 + 166*t**2 + 1552*t - 8736.
-2*(t - 91)*(t - 4)*(t + 12)
Factor 2*v**3/15 - 52*v**2 + 3094*v/15 - 772/5.
2*(v - 386)*(v
|
{
"pile_set_name": "DM Mathematics"
}
|
8/216)/(2/(-21))?
-7/3
-1*(-1*6)/(-3)
-2
Calculate 18/4*16/288.
1/4
6*(-2)/(-1*(-4)/(-1))
3
Evaluate 1*5/(1140/(-12)).
-1/19
What is 2/(3*3/18)?
4
What is 0*(8/(-20))/(16/20)?
0
What is the value of 20/(-2)*((-10)/4)/(-5)?
-5
What is the value of ((-5)/(-4))/(1050/336)?
2/5
What is (-4)/12*4*1/(-6)?
2/9
Evaluate ((-33)/22)/((7/(-6))/7).
9
What is (4/38)/((-93)/93)?
-2/19
11/((-66)/(-4))*(-6)/7
-4/7
((-8)/((-8)/(-3)))/(27/6)
-2/3
Evaluate ((-18)/(-12))/((-3)/24*-3).
4
What is the value of ((-8)/(-140)*7)/(-3)?
-2/15
Calculate (-3)/4*(-1)/(6/2).
1/4
What is the value of ((-15)/(-50))/((-10)/25)?
-3/4
What is 7/924*18*8/6?
2/11
Calculate (12/10)/((-26)/65).
-3
What is 5/30*-8*(-6)/(-20)?
-2/5
What is (-11)/(121/(-66))*1/(-8)?
-3/4
(1/((-1)/(-1)))/(8/(-4))
-1/2
Evaluate ((-2)/(-6))/((-20)/60*1).
-1
What is the value of ((-128)/12)/(-4)*30/(-20)?
-4
Calculate (3/6)/((-13)/(-104))*1.
4
What is ((-4)/24)/(6/(-4))?
1/9
Evaluate ((-3)/((-2)/2))/((-198)/(-132)).
2
What is (3/14)/((-27)/(-36))?
2/7
What is ((-3)/(12/(-10)))/((-100)/200)?
-5
Calculate ((-17)/(-34))/((-2)/(-28)).
7
Evaluate ((-250)/300)/(10/6).
-1/2
What is (24/(-16))/(1/(4/3))?
-2
What is ((-12)/(-14)*-2)/((-24)/84)?
6
Evaluate 336/(-210)*2/8*20.
-8
((-1)/3)/(1/3*1)
-1
Calculate ((-9)/6)/(123/410).
-5
Evaluate ((9/(-6))/(-3))/((-5)/50).
-5
(16/(-28))/((-46)/(-161))
-2
What is the value of ((-66)/44)/(5/2)?
-3/5
What is 5/(-3)*(-4)/((-16)/3)?
-5/4
Calculate ((-3)/(-14))/((-9)/(-12)).
2/7
Evaluate (345/(-18))/(-23)*9/10.
3/4
What is ((-6)/(-4))/((-120)/40)?
-1/2
Calculate (1/156)/(9/72).
2/39
Evaluate -5*(7/(-14))/(1/(-2)).
-5
What is the value of (780/(-24))/(-13)*(-4)/5?
-2
What is the value of (44/40)/(-11)*280/20?
-7/5
Evaluate -1*(30/30)/(1*-1).
1
What is 20*(-5)/120*(-6)/1?
5
What is the value of (1*-2)/(6/(-12))?
4
What is -5*7/(-700)*-8?
-2/5
Evaluate ((-5)/(-10))/((-4)/16).
-2
Evaluate (4/4)/(-1)*28/(-7).
4
15*1/25*20/6
2
Calculate 1*(-21)/7*2/3.
-2
What is 1*(3/2)/((-4)/(-8))?
3
Calculate ((-2)/4)/(792/(-96))*9.
6/11
(2/(-5))/((-17)/85)
2
Evaluate (38/(-38))/((-9)/(-4)).
-4/9
What is -4*8*-8*(-14)/(-448)?
8
What is the value of 3/(10/(-490)*-21)?
7
Evaluate (-10)/(6*(-7)/(-126)*3).
-10
9/15*12/(-54)
-2/15
What is the value of (-6)/8*(-3232)/303?
8
Evaluate (2/2)/(1/((-32)/8)).
-4
Calculate ((-56)/56)/((-3)/(-12)).
-4
What is (24/44)/(4/44)?
6
What is (-5)/2*(18/(-3))/3?
5
What is (-8)/(-10)*(-9)/6?
-6/5
What is the value of (11/(99/(-4)))/2*-1?
2/9
What is the value of (((-7)/(-5))/((-4)/20))/1?
-7
What is (6/(-78)*-13)/(-1)?
-1
What is the value of (-11)/(-264)*132*-1*2?
-11
Calculate (6/(-10))/(5/75).
-9
((-1)/(-4)*-1)/((-168)/(-64))
-2/21
Calculate 6/144*-2*1*-9.
3/4
Evaluate (4/(-50))/((-16)/(-40)).
-1/5
Evaluate (5/(1/1))/((-22)/(-22)).
5
What is (-126)/(-90)*(-4)/70*5?
-2/5
What is 1/(-1)*(-1)/3*3?
1
What is (0/(-1*1))/((-122)/(-61))?
0
Calculate 1162/(-83)*(-2)/4.
7
(253/46)/((-1)/2)
-11
What is 32/20*10/4?
4
Evaluate ((-9)/(1/(-1)))/((-136)/(-136)).
9
What is -2*(-4)/28*-1?
-2/7
10*9/((-405)/(-6))
4/3
What is (-2)/8*0*3/3?
0
What is (-10)/(-4)*-1*24/510?
-2/17
What is the value of 160/288*(-9)/(-2)?
5/2
What is ((-200)/(-75))/((-1)/3*-2)?
4
((-97)/388)/((-2)/(-28))
-7/2
What is the value of (-1)/((-12)/3)*140/7?
5
Evaluate 15/3*31/(-31).
-5
What is the value of 36/15*-20*(-6)/48?
6
Calculate (7/(-14))/((-1)/(-20)*-6).
5/3
What is the value of 2*2/4*(-64)/448?
-1/7
Evaluate -1*0*2/(-4).
0
What is ((-40)/(-3))/5*(-26)/312?
-2/9
Calculate (-2)/(2/(66/11)).
-6
(17/(-68))/((-10)/(-8))
-1/5
Calculate 1*3*(-9)/((-90)/2).
3/5
Evaluate (2/(-1)*-2)/((-102)/(-153)).
6
Calculate ((-16)/((-64)/42))/6.
7/4
What is the value of 4/20*10*(-4)/24?
-1/3
12/18*(-6)/4
-1
(((-8)/(-14))/((-6)/(-21)))/(-1)
-2
What is the value of (-10)/40*24/33?
-2/11
Calculate (-12)/(1/(5/(-10))).
6
Evaluate (5/(-1))/((-5)/(75/15)).
5
Calculate ((-12)/17)/2*(-1)/3.
2/17
What is the value of (10/(-50))/(2/(-4))?
2/5
What is (3/18)/(1*1/(-3))?
-1/2
Evaluate (-2*3/8)/(25/20).
-3/5
((-2)/((-40)/(-15)))/(150/80)
-2/5
Evaluate ((-4)/(-12))/(2/(-2)).
-1/3
Calculate (15/15)/(1/(-3)).
-3
Calculate 15/(90/2)*6*4.
8
What is the value of ((-15)/(-19))/15*2?
2/19
Calculate (1*(-4)/(-10))/((-72)/(-45)).
1/4
((-6)/(-24))/(1/4)
1
What is the value of ((-42)/(-378))/(2*4/(-12))?
-1/6
Evaluate 1*((-1)/(-1))/((-14)/14).
-1
Calculate ((-2)/(-24)*3)/(4/(-24)).
-3/2
Calculate (0/(1*(-1)/1))/(-1).
0
(-410)/164*(-8)/10
2
Evaluate -2*2/((-8)/(-4)).
-2
What is (25/(-20)*2)/((-130)/13)?
1/4
What is the value of 19/(-76)*(-1)/2?
1/8
-1*(-18)/(-27)*(-6)/(-1)
-4
What is the value of ((-117)/78)/(9/(-42))?
7
Calculate (324/108)/(((-30)/(-4))/5).
2
(35/(-28))/((5/4)/(-5))
5
Evaluate (-14)/7*(-8)/(-56).
-2/7
What is the value of (4/2)/((-24)/6)?
-1/2
Calculate (42/189)/(2/(3/(-3))).
-1/9
Evaluate (24/15)/((-1)/(-10)*-4).
-4
What is the value of (-12)/9*((-10)/(-12))/(-5)?
2/9
Calculate (2/2)/(7/(-98)*-14).
1
Calculate (0/6)/(6/(-6)).
0
What is the value of (-1)/((8/20)/((-28)/(-35)))?
-2
(10/(-245)*-7)/(9/21)
2/3
What is the value of ((-4)/(-50))/((-5)/25)?
-2/5
Calculate ((-5)/3)/((-5)/(-60)*-4).
5
What is ((-2)/6)/(7/(-6)*-1)?
-2/7
Evaluate (6/72)/((7/(-2))/(-7)).
1/6
Evaluate 21/63*-3*4/(-14).
2/7
Evaluate (-2)/5*(-15)/36*-2.
-1/3
Calculate ((-102)/(-1632))/((-2)/(-4)).
1/8
What is the value of 18/(-60)*2*(-3)/9?
1/5
Evaluate 10/(-15)*(-6)/(-26).
-2/13
What is the value of 1*1/(-1)*210/(-245)?
6/7
What is 324/(-27)*4*(-4)/(-64)?
-3
8/144*10*3
5/3
(-48)/84*(-42)/4
6
(((-260)/39)/(-10))/(17/3)
2/17
Evaluate (8/348)/((104/24)/13).
2/29
5/((-80)/12)*(-36)/9
3
Calculate ((21/(-12))/(-7))/((-1)/4).
-1
What is (4/(-6))/(-1*3)?
2/9
What is the value of 16/(-26)*((-55)/(-20))/11?
-2/13
What is the value of (50/(-200))/(18/16)?
-2/9
Evaluate 3*1/((-3)/4).
-4
What is the value of (-8)/12*3/5?
-2/5
Evaluate (-1)/((135/(-6))/(-9)).
-2/5
Calculate (-8)/((-160)/(-10))*2/1.
-1
(-10)/5*4/(-44)
2/11
What is 0*1/2*24/12?
0
Evaluate (-1*12/(-24))/(3/30).
5
What is the value of (-27)/(-18)*1/(-3)?
-1/2
What is the value of (47/(-376))/((-1)/(-2))?
-1/4
What is ((-3)/(-9))/(-1)*-9?
3
Calculate (-4)/((1/(-2))/((-6)/12)).
-4
(-2*2/(-4))/((-198)/108)
-6/11
Calculate (-4)/1*(-8)/(3520/(-30)).
-3/11
What is (-11)/((-99)/18)*2/(-4)?
-1
Calculate (-6)/(-225)*20/4.
2/15
Evaluate ((-5)/(-1))/((-4)/(-4)*-1).
-5
What is (-528)/(-384)*4/22?
1/4
Evaluate 1/(2*(-7)/70).
-5
((-2)/(6*1))/((-9)/(-54))
-2
Calculate 2/(-175)*5*-5.
2/7
(696/(-10556))/(1*4/(-14))
3/13
Calculate ((-6)/27)/(25/(-15)).
2/15
5/(-150)*-5*-2
-1/3
Evaluate (((-24)/(-252))/(1/2))/(-2).
-2/21
Calculate (-3)/6*(-2)/(-4).
-1/4
Evaluate -2*((-64)/(-40))/(-8).
2/5
What is (3/15)/((48/(-45))/(-4))?
3/4
((-44)/42)/11*(-6)/(-4)
-1/7
Calculate 3/1*(-10)/(50/15).
-9
Calculate 35/(-70)*1/(-2).
1/4
What is the value of ((-3)/(-5))/(1/(10/2))?
3
(8/12)/((-18)/(-81))
3
Evaluate (33/22)/(9/2).
1/3
What is 4/(-4)*(-4)/12*-6?
-2
Evaluate ((-4)/14)/((-6)/882*-21).
-2
What is (4/(-42)*-7)/(-1*2)?
-1/3
Calculate ((-4)/(-6))/(-1*24/324).
-9
Evaluate ((-1)/(78/4))/((-15)/45).
2/13
4/6*11/(-22)
-1/3
128/(-144)*(-2)/(-4)
-4/9
(2/2)/(5/(-15))
-3
What is the value of 5*12/30*-1?
-2
Evaluate (6*(-3)/(-30))/(14/10).
3/7
Calculate 1*4*(-99)/(-99).
4
Calculate ((-16)/192)/(2/(-36)).
3/2
What is the value of (1*-3)/(2*(-12)/40)?
5
(2/(8/(-6)))/((-12)/10)
5/4
Calculate (120/70)/(4/14).
6
Evaluate ((-24)/(-16))/((-54)/(-24)).
2/3
What is 1*(-13)/(-52)*-1?
-1/4
Calculate (1/((-18)/(-8)))/((-24)/(-18)).
1/3
What is the value of ((-1)/(-25))/(((-48)/15)/(-8))?
1/10
Evaluate (12/72*0)/((-2)/(-2)).
0
What is the value of 4/1*(-1)/2?
-2
Evaluate ((-6)/18*3)/(-1).
1
Calculate 216/54*1/36*1.
1/9
What is the value of 3*(-2)/68*48/(-36)?
2/17
What is the value of ((-12)/6)/((-6)/(-12))?
-4
What is the value of 5/60*-2*-12?
2
Calculate (-3)/(9/(-5))*3.
5
What is the value of (17/((-85)/30))/(-22)?
3/11
What is 2*(((-9)/(-3))/(-1))/10?
-3/5
What is the value of 8/(-32)*4*(-2)/12?
1/6
Calculate (-22)/88*(-8)/7.
2/7
What is 15/(-25)*12/(-9)?
4/5
What is the value of ((-18)/(-6))/((-5)/(35/(-7)))?
3
(-31)/(-124)*(-4)/7
-1/7
-9*18/(-81)*3/(-2)
-3
(2/2*0)/3
0
What is 26/(-13)*(-4)/(-16)*2?
-1
((-2)/4)/(8/(-16))
1
Evaluate (-204)/374*(-44)/6.
4
(-24)/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
- 196 + 279, r - 74 = 4*m - 9*r for m.
-16
Solve -7755*x = -7750*x + 25, 22*t - 1031 = -5*x for t.
48
Solve 0 = -16*r + 165*g - 167*g + 90, -47*g - 105 = -52*g for r.
3
Solve 13*p - 50 = -3*a, -p + 155197*a - 54 = 155190*a for p.
2
Solve 7*f + 78516*l = 78519*l + 9, -6 = 2*f - 3*l for f.
3
Solve -4*b + 5*o - 13 = 0, 13 + 29 = 3*b - 7*o - 10*o + 12 for b.
-7
Solve -b + 48 - 46 = -5*k, -35*b = -30*b - 3*k - 10 for b.
2
Solve -2*q - z = -24, 52*z - 55*z + 80 = 10*q for q.
2
Solve 0 = b - 3*r - 29, 12*r + 38 = -5*b + 3*b + 6 for b.
14
Solve 25*f = 4*a - 60*a + 20*f - 2861, -205 = 4*a + f for a.
-51
Solve 1 = -4*j + 11*k - 44, -4*k = -5*j - 1 - 65 for j.
-14
Solve -4*x + 55 = -2*x + 3*x + 35*b, b + 3370 - 3396 = 8*x for x.
-3
Solve 3*o + 2*b = 24, o - 1178*b + 130 = -1171*b for o.
-4
Solve 0 = -4*i + d + 6 + 13, -6*d + 5 = -4*i + 13*i - 13 for i.
4
Solve 23*w - 143 = 3*s, -11*s - 5*w + 101 = 5*w - 5*w - 0*w for s.
6
Solve 19*i - 926*y = -922*y + 78, 3*y + 42 = 6*i for i.
2
Solve 0*t - 46*l - 4775 = -t - 127*l, -3*t + 9 = 2*l - 97 for t.
-4
Solve 2*d - 1714*g = -1710*g + 102, -47 = -5*d + 2*g for d.
-1
Solve -1978*b + 1982*b + 2*k = -22, 103 = 2*b - 5*k for b.
4
Solve 0 = -97*b + 100*b - 4*s + 3*s + 12, -15 = 3*b - 2*s for b.
-3
Solve 13*i - 34*p + 148 = -29*p + 21, 0 = 3*i - 8*i - p - 43 for i.
-9
Solve -10 = 7*h + 10*k, -5 = 9934*h - 9933*h + 5*k for h.
0
Solve 7*c = -42, -2*c - 8 = 47017*t - 47015*t for t.
2
Solve 4550*p = -2*o + 4554*p - 40, 3*p = -33*o + 30 for o.
0
Solve 9*n - 52 = -31*c + 30*n - 12*n, 8 = 3*n - 3*n + n for c.
4
Solve 4*l = 2*x - 0*x - 14 + 4, 17*l + 29 = -5*x for x.
1
Solve 6*b - 5*z + 6*z - 241 = -218, -5*z = -175 for b.
-2
Solve 4*g - 3*s = 124, -545*s - 156 = -3*g - 1085*s + 544*s for g.
4
Solve -3*u + 4*d + 29 = 0, -138*u + 133*u = -441*d + 445*d + 37 for u.
-1
Solve -2*x + 0*x - 17*w = 3*w + 285 - 105, 2*w + 18 = 0 for x.
0
Solve -19*q - 5*u = 157, -q - 488*u - 484*u - 487*u - 6 = -1461*u for q.
-8
Solve 5*p - 2*u - 29 = 0, 2*p + 6*u = -3*p + u + 50 for p.
7
Solve -3*k + s + s = -4, 1405 - 1344 = 28*k + 5*s for k.
2
Solve -4*f = 10*w - 94, -w + 0*w + 1093*f - 1091*f = -3*w + 32 for w.
5
Solve 10756*r + 12*b = 10752*r + 1028, -r - 835 = -10*b for r.
5
Solve 3*u + 10*x - 45 = 0, -14*u + 2*u + 17 = -8*u - 2*x + x for u.
5
Solve -494*a + d = -523*a - 378, 4*a + 42 = -2*d - 12 for a.
-13
Solve 2*n + 2*n - 14109*y + 14101*y = 44, -3*n + 2*y = -9 for n.
-1
Solve -78*r + 77*r = -9*d - 382, 0 = -d + 244 - 286 for r.
4
Solve 0 = 10*q - 24*m - 144, 61 = -2591*q + 2596*q - m for q.
12
Solve x - 52 = -47, -9*u + 21*x - 48 = 6*x for u.
3
Solve t - 3*w = 26, -83*t + 44*t + 43*t + 4*w - 56 = 0 for t.
17
Solve 2*p + 2*w = 9*w + 105, -47*p - w + 195 = -43*p for p.
49
Solve -5*u = -3*q + 1060 - 1108, 5 + 16 = -4*u - 3*q for u.
3
Solve c - 36 = -8*q, 614*c - 5*q - 45 = 609*c for c.
12
Solve 21*d - 25*d = -25*b + 27*b, -d + 6 = 2*b for b.
4
Solve 58*q + 101 = -2*u + 31, -62*u + 8 = 10*q - 65*u for q.
-1
Solve 2*g + 20*q = -32, 19*q - 12*q - 16*q = -g - 76 + 98 for g.
4
Solve 0 = 2*j + 5*m - 174, 76908*m - 83 = 10*j + 76904*m + 91 for j.
-3
Solve -3*w = -4*n + 1, 3*n + 2*w + 593 - 581 = 0 for n.
-2
Solve -3*b = -2*g + 23, -6*b + 21*g = -9*b - 12*g - 5*g + 137 for b.
-5
Solve -c + 106*o + 3997 = 107*o + 3984, -3*c + 5*o - 49 = 0 for c.
2
Solve 2*s = -5*m - 5, -17*m = -2*s + 6702 - 6641 for m.
-3
Solve -p - 3*l - 8 = 128, -p + 51*l - 50*l + 40 = 0 for p.
-4
Solve 2*d = 4*l - 0*d + 2 - 4, 265*d - 1015 = 62*d for l.
3
Solve -2*m - 4980753 = 4*i - 4980733, -7*m - 4*i - 40 = 0 for m.
-4
Solve k + 2*v - 17 = 0, 4 - 8 = -2*k - 2*v + 12 for k.
-1
Solve -4*i + 26*g - 19*g + 436 = -0*i + 29*g, -4*i + 36 = 2*g for i.
-1
Solve -87 + 29 - 73 = -56*i + 93, 4*r = -3*i for r.
-3
Solve 135*z + 434 = 5*v - 356 - 400, -3*v = -v + 5 + 3 + 2 for z.
-9
Solve -43*f - 12 = t - 55*f, 2*t + 3*f - 109 = -25 for t.
36
Solve 2*p - 1 = -g, 3*p - 4*g = -187 - 156 + 361 for p.
2
Solve 5252 = 5*b + 6*c + 5272, 0 = 2*b + c + 1 for b.
2
Solve -6*k = s + 55, 0 = -2*s + 3*s + 11*k + 58 + 22 - 15 for s.
-43
Solve -11*v = -10*v - 10, -76*u - 56*u + 5*v = 446 for u.
-3
Solve 3*m - 3 = 215*v - 211*v, -4*v - 3*v + 3*m = -4*v for v.
-3
Solve -w - 8*a = 34, 111*w - 56*w + 4*a = 43*w - 40 for w.
-2
Solve p - 19*k + 1344 = 0, -223 = -2*p + 47*k - 50*k for p.
5
Solve 3*b - 39 = 5*n, 177*n + 58*b = 32*b + 29*b + 477 for n.
3
Solve d - 6890*a + 11 = -6895*a, d + 6*a = -13 for d.
-1
Solve 0 = -5*o - 5*q - 3986439 + 3986524, 5*o + 69 = 2*q for o.
-5
Solve 2*h = 15*q + 22, -3*q + 3*h + 17843 = 17837 for q.
-2
Solve 10*d + 28 = h - 19, -5*h + 10*h - 137 = d for d.
-2
Solve 0 = 4*l + h + 3 - 28, 2*h + 36 - 30 = 2*l - 14 for l.
7
Solve -7*m - 94 = 6*b - 5*b, 9 = -5*b - 4*m - 27 for b.
4
Solve -8*v = -2*w - 138, -v + 14 = -405*w + 408*w for v.
17
Solve 86*a - 91*a = r - 29, 38*a - 35*a - 31 = -4*r for a.
5
Solve 77913*c + 7*p = 77909*c - 65, -4*p - 56 = -4*c for c.
3
Solve -3 = -0*n - 3*n, 1783*n = -4*t + 8*t + 893*n + 894*n + 40 for t.
-11
Solve -4*r - 72*f = -71*f - 12, 7*f - 84 = -7*r for r.
0
Solve -7*p + q + 34 = 0, -p - 14 - 20 = -10180*q + 10175*q for p.
6
Solve 5*k - 790*i = -743*i + 24, -5*k - i + 168 = 0 for k.
33
Solve 0 = 3*q + 4*r + 14, 46*q + 1397 - 1315 = 5*r for q.
-2
Solve 72 = -3*f + 2*h, -22*f = 5*h + 3817 - 3997 for f.
0
Solve -2*s - 2*m = 178, -3*s - m - 3322 + 4157 = -13*s for s.
-84
Solve -84*o + 79*o + 2*l = 87, -110*o - 2*l + 95 = -123*o for o.
-1
Solve 0 = -4*b + 2*m - 26, 4735*m - 4733*m = -5*b - 19 for b.
-5
Solve -4*c + 687016 = -5*i + 687048, 0*c + 7 = i - c for i.
4
Solve 4*b - 4*c - 101 = -125, 9*b + 4 = 5*b - c for b.
-2
Solve 0 = -2*g + m + 4 + 11, -2*g - m - 6 = -25*g + 156 for g.
7
Solve 3*f + 5368 = -h + 5383, 10*h + 3*f - 42 = 0 for h.
3
Solve 4*a - 20 = 4*l, -3*a + 33 = -2*l + 7*l - 14*l + 4*l for a.
-4
Solve 0 = -4*p - 21*g - 349, 0 = 4*p + 48*g - 44*g + 60 for p.
2
Solve 74*w + 1212 + 2281 = -3*z, z - 89 = 2*w for w.
-47
Solve 3*a + 0 = 5*a + 5*v + 2, a = 2*v + 8 for a.
4
Solve 2*g - 10 = g - 4*g, -2*l - 4*g = -5*l + 52 for l.
20
Solve 0 = o - 8*h - 43, 0*h + 3*h - 19348 = -2*o - 19338 for o.
11
Solve 10 = 2*z - 10*r, -37*z - 317 = 2*r - 128 for z.
-5
Solve -3*g = 136646*s - 136650*s - 71, s = 6*g - 149 for g.
25
Solve 4716*d - 4705*d + x + 92 = 0, -3*x - 28 = 2*d for d.
-8
Solve -7*o + 127 = 4*z, -189*z - 23 + 64 = 11*o - 188*z for o.
1
Solve 0 = 3*z + 4*o + 15, 25077 - 25072 = z - 2*o for z.
-1
Solve 2*i + 84 = 8*d, 8*i - 11 = d - 6 for i.
2
Solve q + 15 = -10*u + 238, -5*q = -38*u - 3*u + 654 + 233 for q.
3
Solve 0 = -5*g + 20, -p + 35*g - 144 = -6*p + 61 for p.
13
Solve 11*b - 4 - 98 = 3*x, -5*b + 2*b + 5 = -22 for x.
-1
Solve -13*l = 33*q - 5*q - 23*q + 145, -5*l = 5*q + 105 for q.
-16
Solve 27 + 12 = 2*x - r + 8, 37 - 25 = 4*r for x.
17
Solve -9*g + 3*y - 395 = -g, -4*g - 120*y = -116*y + 192 for g.
-49
Solve w - 4 = 2*p, 4754046*p - 4754047*p = -5*w - 25 for p.
-5
Solve 2*o = 6*u + 34, 40123*o - 40124*o - 2*u = -12 for o.
14
Solve -8*l = -5*x + 191, x = -1560*l + 1557*l + 29 for x.
35
Solve 53*v - 2*k - 148 = 67 + 32, 4*v = 5*k - 25 for v.
5
Solve 3*p - 5*l = -50, 48*l - 47*l - 33 = -7*p + 3*p for p.
5
Solve 0*t - 16 = -3*t - 1101644*z + 1101645*z - 174, 204 = -4*t - 2*z for t.
-52
Solve -566*w - 230 = -556*w - 5*d, 150 = 38*w + 4*d + 12 for w.
-1
Solve -116*j + 120*j = -4*q - 92, -4*q + 3 + 13 = 0 for j.
-27
Solve 4*k - 252 + 180 = 30*b, -b + 5*k = 3*b + 23 for b.
-2
Solve 2 = -v + 6, 2*l - 118*v + 88*v = -118 for l.
1
Solve -n - 3*b = 8, 0 = 9*n + 4*b - 553 + 556 for n.
1
Solve 3*x = 8*q - 71, 91 = -484913*q + 484911*q - 3*x for q.
-2
Solve -4112*q = -4108*q - 2*g + 56, 40*g + 96 = 4*q for q.
-16
Solve 155280*g = -5*r + 155268*g - 28 - 23, 3*r - 2*g = -3 for r.
-3
Solve -67 = 3*v + 8*i, -12*v + 4*i - 60 - 17 = 11 for v.
-9
Solve 5*j = 13*j - 3*j - 3*w + 58, -3*j - 31038 = -1343*w - 2838 for j.
1
Solve 9218874*j = 9218879*j + 3*n + 137, 5*j + 55 = -4*n - 86 for j.
-25
Solve 2*k - 2*t = 64, 14*k - 338 = -10*k + 6*t - 110 for k.
2
Solve 1816*v - 154 = -19*n + 1814*v, -v = n - 9 for n.
8
Solve 29*l - 4*h - 1046 + 503 = 0, 0 = -4*h + 8 for l.
19
Solve 2*c + 9 - 39 = -2*c - i, 20*c + 10*c - 2*i = 244 for c.
8
Solve 0 = -860*t + 856*t + 5*v + 43, 3*v
|
{
"pile_set_name": "DM Mathematics"
}
|
t x be ((-2)/(-5))/(f/(-20)). Which is the biggest value? (a) x (b) l (c) 0.3
b
Let b = 9.65 + -0.65. Let d = b - 9.6. What is the biggest value in -0.3, 2, -5, d?
2
Let b = -37.5 + 37.8. What is the third biggest value in 3, -0.4, -14, b?
-0.4
Let z = -3 - -2.9. Let f = -6732 - -6735. Which is the third biggest value? (a) -5 (b) z (c) f
a
Let y = 0 + 3. Let s = 0.344 - 0.424. What is the third biggest value in s, -2/11, y?
-2/11
Let u = 429 - 428.836. What is the third biggest value in -1/5, u, 2/5?
-1/5
Let p = -22.8 - -27. Let n = 3.9 - p. Let g be -1 + 1 + (5 - 2). Which is the second smallest value? (a) n (b) 0.03 (c) g
b
Let f = 24.8 + -25. Let y be ((-10)/25 + (-19)/(-10))/4. Which is the second smallest value? (a) f (b) -1/4 (c) -4 (d) y
b
Let z = 219.9 + -260. Let y = z - -40. What is the second smallest value in 7, y, -5, -1/7?
-1/7
Let v = -3283/39 - -253/3. Let p = -0.1 + -0.1. Which is the second smallest value? (a) v (b) p (c) -5/4
b
Let y = -18.6 - -18.3. What is the smallest value in 0, -3, y, 18?
-3
Let m = -19 + 16. Let l = 0.292 + 27.408. Let n = 28 - l. Which is the biggest value? (a) m (b) 2.2 (c) n
b
Let n = 0.03 - -0.07. Let f = -0.1 + n. Let k = 0.078 - -0.322. Which is the second biggest value? (a) -0.5 (b) k (c) f
c
Let w(u) = -u**3 + 6*u + 2. Let g be w(-3). Let v = -28 + 12. Let d = v + g. Which is the third biggest value? (a) d (b) -2/13 (c) 7
a
Suppose 5*n - 37 = 8. Let h(a) = -2*a**2 - a**2 + n + 4*a**2 + 13*a. Let s be h(-12). What is the smallest value in 3, s, -4?
-4
Suppose 10*x - 343 + 313 = 0. Which is the third biggest value? (a) 32 (b) x (c) 2/3
c
Let t = 0.3 - 0.6. Let i = -3.52 + 3.12. Which is the biggest value? (a) t (b) i (c) 1 (d) -1/4
c
Let p = -0.95 + -1.57. Let s = 0.52 + p. Which is the third biggest value? (a) 1 (b) s (c) -5 (d) 3
b
Let u = -9 - -16. Let b = u + -12. Let p = -56 + 55.6. What is the third smallest value in -1, b, p?
p
Let r = -1405 + 1404.5. Which is the fourth biggest value? (a) -1/6 (b) -4 (c) r (d) -6
d
Let y = -0.9 - 0.3. Let r = -1.2 - y. Let m = -2 - -2.5. What is the third smallest value in 6, r, m?
6
Let q be (3/(-1 - 0))/1. Let g be (-1 + 1 - q) + -3. Which is the second biggest value? (a) g (b) 2 (c) -1
a
Let p = -1.8 - -2.1. Let o = -14 + 19. Which is the smallest value? (a) o (b) -0.3 (c) p (d) 1
b
Let o = -64.615 + 0.015. Let v = o + 65. What is the fourth smallest value in v, 0, -4, 3?
3
Let p = 494 - 491. Which is the second biggest value? (a) 5/4 (b) p (c) 8/3
c
Let g = 1249/4 - 314. What is the third smallest value in 2, 5/3, g?
2
Suppose -41*w + w - 59*w + 1485 = 0. Let u = 0.2 - 0.3. What is the third biggest value in 3/5, w, -3, u?
u
Let o = -322 + 322. What is the smallest value in 2/3, 1/6, o, 7?
o
Let i = 21.2 + -21.7. Which is the third smallest value? (a) i (b) -4 (c) -3.4
a
Let w = 554 - 4433/8. What is the smallest value in w, 1, -14?
-14
Let t(p) = p**3 + 9*p**2 + 17*p + 75. Let q be t(-8). Let f be (-1)/((1 - 0)*-1). Which is the third smallest value? (a) 0.4 (b) f (c) q
c
Let c = -128 - -128.4. What is the fourth smallest value in c, 3, 4, -0.5?
4
Let u = -106 - -101. Which is the third smallest value? (a) -0.11 (b) -6/7 (c) u
a
Let u = -10 + 5. Let s = -1325 - -1329. Which is the third smallest value? (a) 0.5 (b) u (c) s
c
Let g = 147.1 + -146.6. What is the second biggest value in g, 0, -2/105?
0
Let i = -729/7490 + -2/749. Which is the third biggest value? (a) -3 (b) 0.3 (c) 1/5 (d) i
d
Let m = 899 + -901. What is the fourth smallest value in m, 4, -0.5, -3/8?
4
Suppose 18*z - 3 = 15*z + 5*v, -3 = -v. Suppose 2 = 2*u + 10. Let i be (-40)/42 - u/z. What is the smallest value in -2, i, 0.09?
-2
Let m be 4/(-10) - 143/(-330)*-6. What is the biggest value in 1, -1, -2, m?
1
Let s = 566.1 - 566. What is the second biggest value in s, -5, 2/11?
s
Let a = 15/2 - 49/6. Let n = 4.6 - 4.7. What is the biggest value in n, a, 2/5?
2/5
Let l = 2 + -1.7. Let f = -141 + 210. Let v = 68.7 - f. Which is the biggest value? (a) 0.2 (b) l (c) v
b
Let g be 3*4/(-168)*-268. Let m = g + -1488/77. Which is the smallest value? (a) 3 (b) -3 (c) m (d) -6
d
Let o = -0.181 - -2.181. Which is the smallest value? (a) -0.4 (b) -1.7 (c) 0 (d) o
b
Let w = -1/200 + -119/200. What is the fourth smallest value in -6, 2, -0.2, w?
2
Let k be (4 - 10/15)/(330/(-45) - -8). Let s = -0.4 - -0.7. Which is the third smallest value? (a) -2/11 (b) s (c) 3 (d) k
c
Let m be 1/(-3) - 1/(-9). Let k = -4.693 - -4.593. Which is the smallest value? (a) 0.2 (b) k (c) m
c
Suppose 3*z + 3*n = z, 3 = z + 3*n. Let p = 7 + z. Let w be p/(-10) - (-17)/5. What is the smallest value in 1, 0.4, w?
0.4
Let m be (-6)/(-10)*(-20)/(-60). Suppose 3*p + 35 = -5*g, -g + 2*g + p + 9 = 0. Let f = -6 - g. What is the smallest value in m, f, 2/5?
f
Let z = 4.7 - -0.3. Let l = z + -6. Which is the third biggest value? (a) -5 (b) 0.3 (c) l
a
Let p = 93 + -62. Let b = p - 34. What is the fourth biggest value in 4, b, -5, 1/7?
-5
Let w = -183.2 + 183. Which is the third biggest value? (a) w (b) -7 (c) 8
b
Let g = -0.9 + 0.4. Suppose y + 9 = 11. Suppose y*j + 3*w + 4 = w, j - w = 2. Which is the second biggest value? (a) j (b) 5 (c) g
a
Let l = 30 - 125. Let q = 94.27 + l. Let w = q - 0.27. Which is the third smallest value? (a) -2/9 (b) w (c) 5
c
Let i be (-1)/(18/4 - -2). Let u = -268.3 - -270.3. What is the third smallest value in i, 0, u, -2?
0
Let l be (2/5)/(11 - (-168)/(-16)). What is the second smallest value in -4, -1/4, l, -46/5?
-4
Let j = 544/942975 - -10/4191. Which is the second biggest value? (a) -3 (b) j (c) 0.4
b
Let r = 0.1 + 0.9. Let m = r - 6. Let u = -1329 + 1335. What is the third smallest value in -4, u, m?
u
Let o be ((-6)/12)/(-1) - 445/10. What is the third biggest value in 2/5, -0.4, 3, o?
-0.4
Let g = -739 + 787. What is the biggest value in 0.4, g, 3?
g
Suppose 50*y + 228 = 38*y. Which is the second smallest value? (a) y (b) 3 (c) -3
c
Let p = 684/5 - 137. What is the second biggest value in 3/4, 0, p?
0
Let r = 572/3 + -190. Which is the second biggest value? (a) 4 (b) -18/13 (c) r
c
Let p be -4*-6*(-4)/(-64). Let h = 1.2 + 0.5. Let z = 3.7 - h. Which is the smallest value? (a) p (b) z (c) 0.1
c
Suppose -390 = 6*s - 360. What is the second biggest value in s, -1/6, 20.4?
-1/6
Let x = 4 + -4.4. Let u = x + -0.1. Let w = -22872 + 160108/7. Which is the smallest value? (a) 5 (b) u (c) w
b
Let d = 96 - 96.9. Which is the second biggest value? (a) -3 (b) 0.7 (c) d
c
Let s(p) = -p**2 - p - 1. Let k be s(-2). Let g be ((-2)/(-4))/(k/54). Let n be 3/(-9)*g/21. What is the smallest value in n, -3, 2?
-3
Let t = 16.7 + -0.7. Let w = -3.71 - -1.71. Which is the third smallest value? (a) -0.4 (b) w (c) t
c
Let u = 1674 + -1674.1. What is the third smallest value in u, 1/3, 1, 2?
1
Let y be ((-110)/(-75) + -1)*236/(-294). Let n = y - -4/45. Let i = -0.11 - 4.89. What is the second smallest value in -0.5, n, i?
-0.5
Let u = -1.783 + -0.017. Let j = 3.8 + u. What is the second smallest value in 5, 1/2, j, -2/7?
1/2
Let u = 0.972 + -1.072. What is the third biggest value in 4, u, -2?
-2
Let j be ((-12)/30)/((-2)/10). Let t be 52/(-32) - j/(-1). Which is the third biggest value? (a) t (b) -0.1 (c) -1
c
Let v = -1456.28 - -1456. What is the biggest value in 5, 0.4, -4, v?
5
Let x = -423 - -418. Which is the biggest value? (a) x (b) -0.2 (c) 1/3 (d) 0.148
c
Let q = 17.5 - 17.8. Which is the biggest value? (a) 8 (b) 0 (c) q (d) 4
a
Let x = -0.634 + -0.366. Suppose -5*r + 2*u = -u, 3*r - 2*u + 1 = 0. Which is the second biggest value? (a) r (b) -9 (c) x (d) 2/3
d
Let u = 69.2 + 19.8. Let o = u + -89.04. Which is the third biggest value? (a) -2 (b) -3 (c) o
b
Let y be ((-285)/38)/(-3 - 2). Let l be ((-2)/(-21))/((-1)/(-3)). Which is the smallest value? (a) 0.08 (b) y (c) l
a
Let z = 255 - 257. Let o = 3 - 7. Which is the fourth smallest value? (a) -5 (b) 7 (c) z (d) o
b
Let m = -518 + 488.3. Let h = m - -30. What is the third smallest value in -5, -7/3, h?
h
Let b = -2.4 - -2.52. Let x = b - -0.18. What is the second biggest value in 10, -2/13, x?
x
Let t = -6.12 - -6.02.
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 34*y*z**2 - 44260*y
What is the third derivative of 2121*k**6 - 9*k**5 - 357*k**3 - 2*k**2 - 1106050*k wrt k?
254520*k**3 - 540*k**2 - 2142
What is the derivative of -7417552*w**4 + 3*w + 966475794?
-29670208*w**3 + 3
What is the third derivative of -3125257*m**3 + 17*m**2 + 4347*m - 3?
-18751542
Find the third derivative of 6007663*m**3*o**3 + 2*m**3*o**2 - 2*m**3 - 79820*m**2 + m*o**2 + m + o wrt o.
36045978*m**3
What is the third derivative of 1278619*d**4 - 40767862*d**2 wrt d?
30686856*d
Find the second derivative of -13525082*b**2 - 44491036*b.
-27050164
What is the derivative of -35714*g**3*x**2 + g**3 + 93142*g**2 + 491*g*x**2 + 4*g + 8 wrt x?
-71428*g**3*x + 982*g*x
Find the third derivative of 5900*m**4 + 1016*m**3 + 54*m**2 + 1239*m + 181.
141600*m + 6096
Find the second derivative of -117276677*v**2 + 9320933*v + 9 wrt v.
-234553354
Differentiate -2*g**3*z + 3*g**3 + 2697632*g + 18547922*z with respect to g.
-6*g**2*z + 9*g**2 + 2697632
Differentiate 14873503*r - 4997406.
14873503
What is the second derivative of -51465146*w**5 + w + 7735611?
-1029302920*w**3
Find the third derivative of 2*f**6 + 1540*f**4 + 1729*f**3 - 2937373*f**2 - 10 wrt f.
240*f**3 + 36960*f + 10374
What is the third derivative of 92162162*x**3 - 485626*x**2 + 7 wrt x?
552972972
Find the second derivative of -7*a**2*b**2*p + 2385*a**2*b + 60*a**2*p**2 + a - b**2*p**2 + 97221*b*p**2 - 2*p**2 wrt a.
-14*b**2*p + 4770*b + 120*p**2
What is the derivative of 932074669*u**3 + 948149690 wrt u?
2796224007*u**2
What is the second derivative of -z**4 - 219*z**3 - 1872*z**2 - 57420*z - 46 wrt z?
-12*z**2 - 1314*z - 3744
What is the second derivative of -4*m*n**2*w - 5*m*n**2 + 5*m*n + 21*m*w + 7231*n**2*w + 2*n**2 - 2*n + 4529*w wrt n?
-8*m*w - 10*m + 14462*w + 4
What is the first derivative of -4*o*q**2 + 2*o*q - 1536639*o + 24108677*q**2 wrt o?
-4*q**2 + 2*q - 1536639
What is the second derivative of 381158652*w**2 + 343*w - 42350?
762317304
Find the second derivative of -3591323*v**2 - 11885980*v.
-7182646
Differentiate -122585*u**4 - 237*u**2 - 233227762.
-490340*u**3 - 474*u
Find the second derivative of 74964205*z**2 - 13*z - 158992.
149928410
Find the second derivative of 110128972*p**3 - 28987355*p.
660773832*p
Find the second derivative of -2*j**5 + 1419743*j**2 - 2*j - 6086838 wrt j.
-40*j**3 + 2839486
Differentiate 454*g*x*z - 46808*g*z - 860*x*z + 2*x - 2*z - 227 wrt g.
454*x*z - 46808*z
What is the derivative of -2*y**3 + 2812*y**2 + 32*y + 4433148?
-6*y**2 + 5624*y + 32
Differentiate -62*p*w**2 - 5*p*w - 1350977*p + 21933*w**2 with respect to w.
-124*p*w - 5*p + 43866*w
What is the third derivative of 6526057*l**6 - 2811651*l**2?
783126840*l**3
Find the third derivative of -10848236*n**5*t**2 + n**3*t**2 + 216*n**2*t**2 - 9*n*t**2 - 14*n*t + 3*t**2 wrt n.
-650894160*n**2*t**2 + 6*t**2
What is the third derivative of 1485246*f**2*k**3 - 1347*f**2*k**2 - 2*f**2 - 4*f*k**4 + 5839*f*k**2 - 3*f wrt k?
8911476*f**2 - 96*f*k
Find the second derivative of 39723804*y**3 + 7938977*y.
238342824*y
Find the second derivative of 153862483*c**2*o - 133*c*o - 45*c + 325*o + 3 wrt c.
307724966*o
What is the second derivative of 309901*h**3 - 296*h**2 + 268681836*h?
1859406*h - 592
Differentiate 4*q**4 + 137*q**3 + 273*q**2 - q + 5431507 wrt q.
16*q**3 + 411*q**2 + 546*q - 1
Differentiate 53219304*a**4 + 70039187 wrt a.
212877216*a**3
What is the second derivative of 42024103*d**3 - 5122866*d wrt d?
252144618*d
What is the derivative of -140436147*b**2*q + 159440767*b**2 wrt q?
-140436147*b**2
What is the third derivative of 25151089*d**3 - 2*d**2 - 1361*d - 2820 wrt d?
150906534
What is the second derivative of 29487394*a*v**4 - a*v**2 - 73829*a*v + 2*a - 21*v wrt v?
353848728*a*v**2 - 2*a
What is the first derivative of 272*o**3 - 5482*o**2 - 10*o + 400282844 wrt o?
816*o**2 - 10964*o - 10
What is the third derivative of 33091*k**4 + 669*k**3 + 750179064*k**2 - 2*k?
794184*k + 4014
What is the third derivative of 54*j**5 - 286588*j**4 - j**3 + j**2 - 9*j + 473647 wrt j?
3240*j**2 - 6878112*j - 6
Differentiate w**2*x + 500*w**2 - 14973589*x**2 - 5823 with respect to x.
w**2 - 29947178*x
Differentiate 1237431*b**2*d**3 - 7*b**2 + b*d**3 - 15*d**3 - 2*d**2 - 510190*d wrt b.
2474862*b*d**3 - 14*b + d**3
Find the third derivative of -15533056*x**4 - 126*x**2 + 2*x + 8398 wrt x.
-372793344*x
What is the first derivative of -241*v*w + 71094968*v + 5722*w + 2 wrt w?
-241*v + 5722
Find the second derivative of 2*f*o**5 - 2*f*o**2*t**3 - 2*f*o*t**3 + 361*f*o*t - 2282245*o**2 - 241*o*t - t**3 wrt o.
40*f*o**3 - 4*f*t**3 - 4564490
What is the third derivative of 20558281*i**4 + 768385*i**2 + 3*i?
493398744*i
Find the second derivative of 27811174*o**3 - 16146282*o.
166867044*o
What is the third derivative of 359064*a**3*l**5 - 40*a**3*l**3 - 21*a**3*l**2 + 1395*a**3 + l - 2 wrt l?
21543840*a**3*l**2 - 240*a**3
Find the third derivative of -68955899*l**3 + 83679232*l**2.
-413735394
Differentiate 3*g**2*w**2 - 20923980*g**2 + 839299*g*w**2 - 3*g*w wrt w.
6*g**2*w + 1678598*g*w - 3*g
What is the first derivative of 158143*g**3 + 55*g**2 + 38575637?
474429*g**2 + 110*g
Differentiate -82391948*r**2 + 646403021 with respect to r.
-164783896*r
What is the first derivative of 99390*u**3*w + 16*u**3 + u**2*w - u**2 - u*w**2 + 77 wrt w?
99390*u**3 + u**2 - 2*u*w
Differentiate -3007*h**2*w**4 - 109*h**2*w**2 - 389*h**2 + 2*h + 496 wrt w.
-12028*h**2*w**3 - 218*h**2*w
Find the third derivative of 414715833*i**4 - 303169046*i**2 wrt i.
9953179992*i
What is the derivative of -2738*a**2 - 15*a*l - 5*a - 513004*l wrt a?
-5476*a - 15*l - 5
Find the second derivative of -51618720*v**2 - 224291983*v wrt v.
-103237440
Find the second derivative of 348763*y**4 - 7*y**2 + 3685*y + 26337.
4185156*y**2 - 14
Find the second derivative of -32646922*u**2 - 42808796*u wrt u.
-65293844
Find the third derivative of 13455764*m**4 - 8129*m**2 - 308.
322938336*m
Find the first derivative of 168146*l**3*x + 9*l**3 + 60200*x + 30 wrt l.
504438*l**2*x + 27*l**2
What is the first derivative of -3*a**2*u**2 - 1187*a**2 + 39074209*a*u**4 - 3215*a + 5 wrt u?
-6*a**2*u + 156296836*a*u**3
What is the derivative of -5*b**3 + 160286*b**2 - 3*b - 7681142?
-15*b**2 + 320572*b - 3
Differentiate -6987870*b**3 - 7214486.
-20963610*b**2
Find the third derivative of -40*c**3*f*r**3 + 2*c**3*f*r**2 - 66*c**3*f*r + 211*c**3*r**2 - c**3*r + c**3 - 149*c**2*r**3 - c*f*r**2 + 137*f*r**3 wrt r.
-240*c**3*f - 894*c**2 + 822*f
What is the second derivative of -442761*b**2*k**2*p**2 - 193*b**2*p**3 + 47*b*k**2*p**2 + 3*b*k**2 - 1480*b*k - 6*k**2*p**3 - 13*p**3 wrt b?
-885522*k**2*p**2 - 386*p**3
What is the second derivative of -68*h**5 - h**3 - 690*h**2 - 1033588*h + 3?
-1360*h**3 - 6*h - 1380
What is the third derivative of -a**4 - 1758674*a**3 + 1404402*a**2?
-24*a - 10552044
What is the third derivative of 122678337*x**4 - 149439262*x**2?
2944280088*x
What is the derivative of 9640117*t**2 + 450635875?
19280234*t
Differentiate 11321171*p**4 - 11461572 wrt p.
45284684*p**3
What is the first derivative of -3*m**4 - 6625*m**2 - 59*m + 12057839 wrt m?
-12*m**3 - 13250*m - 59
Find the third derivative of 191603122*o**5 - 202052281*o**2.
11496187320*o**2
What is the derivative of 384900*w**2 + w + 10953909 wrt w?
769800*w + 1
What is the derivative of -45343547*d**2 + 42523231 wrt d?
-90687094*d
Find the second derivative of 70447*f**3*l**3 - 18*f**3*l + 13*f*l**3 + f*l**2 + 2*f + 19039*l**3 + 2*l - 2 wrt f.
422682*f*l**3 - 108*f*l
What is the second derivative of -668647713*d**2 - 209041496*d?
-1337295426
What is the second derivative of -5*p**4 - 5003*p**3 + 2*p**2 - 3735806*p?
-60*p**2 - 30018*p + 4
Find the second derivative of -3*k**4 + 1164295*k**2 - 60*k + 6292 wrt k.
-36*k**2 + 2328590
What is the third derivative of 63*a**6 + 9*a**4 + 124561*a**3 - 107230375*a**2 wrt a?
7560*a**3 + 216*a + 747366
What is the second derivative of 418530*b**4 - 5*b**2 + b - 810328 wrt b?
5022360*b**2 - 10
Find the third derivative of 266645539*c**3*h*z - 5*c**2*h*z + 14183*c**2*z - 3*c*h + 11*h*z + 6*h wrt c.
1599873234*h*z
What is the third derivative of -48472984*v**5 - 60765581*v**2 wrt v?
-2908379040*v**2
Find the second derivative of 25578*i*
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the v'th term of 7936, 12160, 16384?
4224*v + 3712
What is the a'th term of 36422, 38677, 40930, 43181, 45430, 47677?
-a**2 + 2258*a + 34165
What is the o'th term of -5201, -7073, -8945?
-1872*o - 3329
What is the q'th term of -10392474, -10392498, -10392522, -10392546, -10392570, -10392594?
-24*q - 10392450
What is the g'th term of -13312, -14161, -15010, -15859?
-849*g - 12463
What is the g'th term of 8339372, 8339374, 8339376, 8339378, 8339380?
2*g + 8339370
What is the g'th term of 14187, 14134, 14059, 13962, 13843?
-11*g**2 - 20*g + 14218
What is the d'th term of 8376469, 16752925, 25129381, 33505837?
8376456*d + 13
What is the i'th term of 2987, 15001, 35025, 63059?
4005*i**2 - i - 1017
What is the f'th term of -1250729, -5002897, -11256509, -20011565, -31268065?
-1250722*f**2 - 2*f - 5
What is the i'th term of 11590, 46390, 104396, 185608, 290026, 417650?
11603*i**2 - 9*i - 4
What is the h'th term of -51622, -51794, -51968, -52144, -52322, -52502, -52684?
-h**2 - 169*h - 51452
What is the n'th term of 569771, 1139539, 1709307, 2279075?
569768*n + 3
What is the c'th term of 4365, 9304, 14827, 20934?
292*c**2 + 4063*c + 10
What is the g'th term of -210, -1871, -6354, -15069, -29426, -50835?
-235*g**3 - g**2 - 13*g + 39
What is the q'th term of -292107, -292111, -292127, -292161, -292219, -292307, -292431?
-q**3 + 3*q - 292109
What is the y'th term of 164038003, 164038002, 164038001, 164038000, 164037999, 164037998?
-y + 164038004
What is the i'th term of -25803, -50824, -75849, -100878, -125911?
-2*i**2 - 25015*i - 786
What is the w'th term of -164282293, -164282288, -164282295, -164282320, -164282369, -164282448?
-w**3 + 12*w - 164282304
What is the s'th term of 101780934, 203561867, 305342800, 407123733?
101780933*s + 1
What is the h'th term of 606, 899, 1226, 1587, 1982, 2411, 2874?
17*h**2 + 242*h + 347
What is the z'th term of -75892, -76035, -76178, -76321, -76464, -76607?
-143*z - 75749
What is the g'th term of -306413, -612935, -919557, -1226273, -1533077, -1839963, -2146925, -2453957?
g**3 - 56*g**2 - 306361*g + 3
What is the n'th term of -5089, -7022, -8949, -10870, -12785, -14694, -16597?
3*n**2 - 1942*n - 3150
What is the v'th term of -8526546, -17053087, -25579624, -34106157, -42632686, -51159211?
2*v**2 - 8526547*v - 1
What is the z'th term of -200144011, -400288021, -600432031, -800576041?
-200144010*z - 1
What is the b'th term of 57327, 114858, 172389?
57531*b - 204
What is the j'th term of 698, 6065, 20628, 48983, 95726?
766*j**3 + 2*j**2 - j - 69
What is the n'th term of 13242, 106088, 358096, 848844, 1657910, 2864872, 4549308?
13263*n**3 + 3*n**2 - 4*n - 20
What is the p'th term of -1290, -2092, -2406, -2232, -1570, -420, 1218?
244*p**2 - 1534*p
What is the r'th term of -130736, -130447, -129958, -129263, -128356, -127231, -125882?
r**3 + 94*r**2 - 130831
What is the q'th term of 114140, 228275, 342408, 456539, 570668?
-q**2 + 114138*q + 3
What is the l'th term of -38825390, -38825380, -38825370?
10*l - 38825400
What is the k'th term of -119, -370, -753, -1334, -2179, -3354, -4925, -6958?
-11*k**3 - 174*k + 66
What is the c'th term of 78459, 314142, 706943, 1256868, 1963923?
c**3 + 78553*c**2 + 17*c - 112
What is the n'th term of 11180, 44136, 98868, 175382, 273684?
n**3 + 10882*n**2 + 303*n - 6
What is the x'th term of 3771, 15204, 34283, 61002, 95355, 137336, 186939?
-x**3 + 3829*x**2 - 47*x - 10
What is the a'th term of 2140, 4438, 6708, 8956, 11188?
a**3 - 20*a**2 + 2351*a - 192
What is the u'th term of -24686, -49476, -74264, -99050, -123834, -148616?
u**2 - 24793*u + 106
What is the k'th term of 995, 1873, 2633, 3281, 3823, 4265, 4613?
k**3 - 65*k**2 + 1066*k - 7
What is the t'th term of 184063, 368212, 552337, 736438, 920515?
-12*t**2 + 184185*t - 110
What is the n'th term of -1983449, -1983471, -1983529, -1983641, -1983825, -1984099?
-3*n**3 - n - 1983445
What is the j'th term of 3521, 9815, 20309, 35003, 53897?
2100*j**2 - 6*j + 1427
What is the i'th term of 631767, 2527061, 5685885, 10108239, 15794123, 22743537?
631765*i**2 - i + 3
What is the y'th term of -2573, -5045, -7439, -9749, -11969, -14093, -16115, -18029?
y**3 + 33*y**2 - 2578*y - 29
What is the z'th term of 495545840, 495545842, 495545844, 495545846, 495545848?
2*z + 495545838
What is the q'th term of -9129551, -9129544, -9129537?
7*q - 9129558
What is the v'th term of 700064, 700065, 700066, 700067, 700068, 700069?
v + 700063
What is the m'th term of -55257, -110516, -165753, -220956, -276113, -331212?
2*m**3 - m**2 - 55270*m + 12
What is the y'th term of -297833, -1191339, -2680511, -4765343, -7445829, -10721963, -14593739?
y**3 - 297839*y**2 + 4*y + 1
What is the l'th term of 812, 1615, 2396, 3143, 3844?
-2*l**3 + l**2 + 814*l - 1
What is the r'th term of 446, 315, -12, -535, -1254?
-98*r**2 + 163*r + 381
What is the d'th term of -110883, -221729, -332587, -443457, -554339, -665233, -776139?
-6*d**2 - 110828*d - 49
What is the n'th term of -306476652, -306476657, -306476664, -306476673, -306476684?
-n**2 - 2*n - 306476649
What is the q'th term of -22472, -45088, -67704, -90320, -112936?
-22616*q + 144
What is the m'th term of 216068, 216130, 216228, 216356, 216508, 216678, 216860?
-m**3 + 24*m**2 - 3*m + 216048
What is the p'th term of -1441, -3402, -5363, -7324, -9285, -11246?
-1961*p + 520
What is the c'th term of 3532, 7012, 10518, 14050, 17608, 21192?
13*c**2 + 3441*c + 78
What is the d'th term of 254435, 508868, 763297, 1017722, 1272143, 1526560, 1780973?
-2*d**2 + 254439*d - 2
What is the u'th term of 332618, 1330506, 2993662, 5322086, 8315778?
332634*u**2 - 14*u - 2
What is the u'th term of -71487830, -142975664, -214463498, -285951332, -357439166?
-71487834*u + 4
What is the l'th term of 1630, 1646, 1682, 1738?
10*l**2 - 14*l + 1634
What is the a'th term of -7520, -15057, -22604, -30161, -37728?
-5*a**2 - 7522*a + 7
What is the n'th term of -4093, -16526, -37293, -66394, -103829, -149598?
-4167*n**2 + 68*n + 6
What is the h'th term of 537, 1268, 2333, 3738, 5489, 7592?
h**3 + 161*h**2 + 241*h + 134
What is the o'th term of 350, 878, 1512, 2294, 3266, 4470?
7*o**3 + 11*o**2 + 446*o - 114
What is the x'th term of 541, 2132, 4801, 8548?
539*x**2 - 26*x + 28
What is the v'th term of -369856, -739709, -1109558, -1479403, -1849244, -2219081?
2*v**2 - 369859*v + 1
What is the b'th term of 4822, 5503, 6640, 8233?
228*b**2 - 3*b + 4597
What is the h'th term of -27912, -112013, -252182, -448419, -700724?
-28034*h**2 + h + 121
What is the p'th term of -10932, -15101, -22062, -31815, -44360?
-1396*p**2 + 19*p - 9555
What is the q'th term of -6819692, -13639376, -20459052, -27278720, -34098380, -40918032?
4*q**2 - 6819696*q
What is the z'th term of 646, 59, -958, -2621, -5146, -8749, -13646?
-36*z**3 + z**2 - 338*z + 1019
What is the h'th term of -24202, -26384, -28566, -30748, -32930, -35112?
-2182*h - 22020
What is the l'th term of 26918, 26977, 27036, 27095, 27154?
59*l + 26859
What is the j'th term of 62413, 61850, 61287, 60724, 60161?
-563*j + 62976
What is the f'th term of -87787, -351209, -790259, -1404937, -2195243, -3161177, -4302739?
-87814*f**2 + 20*f + 7
What is the r'th term of -26428, -54348, -82280, -110230, -138204, -166208, -194248?
-r**3 - 27913*r + 1486
What is the a'th term of 6855, 13705, 20535, 27345, 34135?
-10*a**2 + 6880*a - 15
What is the u'th term of 1696, 8749, 20506, 36967, 58132, 84001?
2352*u**2 - 3*u - 653
What is the l'th term of -32707656, -65415312, -98122968, -130830624, -163538280?
-32707656*l
What is the w'th term of 4265047, 34120446, 115156531, 272963644, 533132127, 921252322, 1462914571?
4265057*w**3 + w**2 - 3*w - 8
What is the w'th term of 282019, 564021, 846017, 1128007, 1409991, 1691969, 1973941?
-3*w**2 + 282011*w + 11
What is the h'th term of -411, 440, 2567, 5970?
638*h**2 - 1063*h + 14
What is the r'th term of -6868, -10412, -13776, -16870, -19604, -21888?
15*r**3 - 3649*r - 3234
What is the x'th term of 1470, 2891, 4188, 5295, 6146, 6675, 6816?
-11*x**3 + 4*x**2 + 1486*x - 9
What is the k'th term of 9062131, 9062129, 9062127, 9062125?
-2*k + 9062133
What is the x'th term of 567, 1159, 1833, 2631, 3595, 4767, 6189, 7903?
7*x**3 - x**2 + 546*x + 15
What is the m'th term of 4646, 10173, 1652
|
{
"pile_set_name": "DM Mathematics"
}
|
ors of (-2 - 0)/(-2)*j.
7, 31
Let r = 2 + 1. Suppose -4*b - r*b = 63. What are the prime factors of (-5)/(-15) - 393/b?
2, 11
Suppose r + 3*r - 7*r = 0. Suppose 5*p = 3*l - 181, l = -r*p - 2*p + 75. List the prime factors of l.
67
Let v(r) = -5*r + 10. Let z be v(0). Suppose -z*u - 5*u = -9645. What are the prime factors of u?
643
Let y be 1/(-4)*4*(2 + -2). Let x(w) = w**3 - w**2 - w + 366. Let h be x(y). Let m = -252 + h. List the prime factors of m.
2, 3, 19
Suppose -2*o + 23439 = r, 27 = 4*r + 47. List the prime factors of o.
2, 5861
Let n = 158 - 160. What are the prime factors of (-1296)/(-9) + n*1?
2, 71
Suppose 3*y = -5*b + 3414, 8*y - 13*y + 3*b + 5656 = 0. Suppose 0 = 6*m + y - 9017. List the prime factors of m.
2, 3, 73
Suppose -4*z = -613 + 193. Suppose -z = -3*q + 4*c + 100, 0 = 3*c + 12. List the prime factors of q.
3, 7
Let q(g) = -g**3 - 6*g**2 + 3*g + 2. Let v be q(-6). Let h = v - -18. Suppose -o + 24 = m, h*m - 2*o = -o + 39. What are the prime factors of m?
3, 7
What are the prime factors of 8 - ((-111624)/17 + (-20)/(-170))?
2, 19, 173
Let z be (-2 + 9 - 4) + (1 - 0). Suppose 4 = -z*c, -c + 216 = m - 2*c. What are the prime factors of m?
5, 43
Let j be (-4)/4 - (0 + 1). Let o(m) = m**3 + 10*m**2 + 47*m + 183. Let y be o(-7). What are the prime factors of 34*j*y/8*-2?
17
Let d(z) = -5*z + 49. Let i be d(8). Suppose 0 = -i*c + c + 904. List the prime factors of c.
113
Let s = -47 - -47. Suppose 2*o = s, -2*q + 4*o = q - 27. Suppose -j = -170 + q. What are the prime factors of j?
7, 23
Suppose 34*v - 300699 = 40*v - 43*v. What are the prime factors of v?
3, 7, 43
Let y = -6627 + 7852. What are the prime factors of y?
5, 7
Suppose 315 = 5*y - 4*y. Let x be 10 + 1 - (8 - 4). What are the prime factors of 0 - y/(-6) - x/14?
2, 13
Let g = -32523 + 81831. What are the prime factors of g?
2, 3, 7, 587
Let n(o) = -71 + 43*o + 58 - 15*o. Let m(j) = j. Let z(w) = m(w) - n(w). What are the prime factors of z(-8)?
229
Let b = 36 - 46. Let a = 438 + b. Let n = a + -277. List the prime factors of n.
151
Let u = 1423 + -1413. Let n(j) = j + 10. Let f be n(-6). What are the prime factors of (598/65)/(f/u)?
23
Suppose -25*b - 20 = -20*b. What are the prime factors of 0 + b/(-6) + (-3506)/(-6)?
3, 5, 13
Let k = 6 - -7. Suppose 24 = 4*i + 2*v, -2*i - 5*v + k = -15. Suppose 46 = 3*l + i*d, -5 = -5*d + 15. List the prime factors of l.
2, 5
Let x = -147573 - -242508. What are the prime factors of -1*(2/9 + x/(-135))?
19, 37
Let a = -55 + 82. Let b be 52/6 - -3*3/a. Let n(u) = 3*u + 1. What are the prime factors of n(b)?
2, 7
Let p(f) = -f + 1. Let k(c) = -115*c + 99. Let w(b) = k(b) + 4*p(b). What are the prime factors of w(-7)?
2, 3, 13
Let t = -510 - -513. Suppose -41 = t*c - 935. List the prime factors of c.
2, 149
Let w be (-244 + 239)/(0 - 1). Let l(o) = -8*o**3 - 2*o**2 + 4*o - 1. Let u be l(-3). Suppose -w*v = -u - 280. List the prime factors of v.
3, 31
Let x = -80 + 135. Let c = x - 50. Suppose -j + 293 = -c*n + 104, 740 = 4*j - 4*n. List the prime factors of j.
2, 23
Let n(s) = s**2 + 10*s + 2. Let i be n(-10). Suppose 6*w - w + 60 = 4*z, -4*w = -i*z + 30. What are the prime factors of z?
3, 5
List the prime factors of (-5)/(-4) + ((-3984050)/(-56) - -15).
2, 3, 5, 593
Suppose 0 = -3*v - 8*v + 792. List the prime factors of 115 - (v/(-9) + 15).
2, 3
Let r be 2/(-1) - (444 + (-1 - -4)). Let d = r + 315. Let i = 51 - d. What are the prime factors of i?
5, 37
Let d = 220 + -184. Let o = d + 110. What are the prime factors of o?
2, 73
Suppose -41*i + 13*i - 75*i = -1492573. List the prime factors of i.
43, 337
Let q(s) = s**3 + 26*s**2 - 3*s + 3. Let z(y) = y**3 + 6*y**2 - 20*y + 17. Let o be z(-7). Let h = -134 + o. What are the prime factors of q(h)?
3
Let g(v) = -956*v + 44. Let x be g(-3). Suppose -5*s + x = -2*q, 2*s = -2*s + 3*q + 2324. What are the prime factors of s?
2, 73
Let x(h) be the third derivative of 55*h**4/24 - h**3/2 - 410*h**2. Let y = 4 + -3. What are the prime factors of x(y)?
2, 13
Suppose -o + 0*o + 3 = 0, o + 1 = 2*y. Let i(h) = 124*h**2 + 5*h - 9. What are the prime factors of i(y)?
7, 71
Suppose 5*i - 42333 = -807*w + 805*w, 2*i = -3*w + 16931. List the prime factors of i.
8467
Let z(w) = 221*w + 227. Let j be z(9). Let t = j - 665. What are the prime factors of t?
3, 11, 47
Suppose 3*t = 3*k - 696, -317*k + 4*t + 244 = -316*k. List the prime factors of k.
2, 3, 19
List the prime factors of -1 - 4/(6 - 10) - (-4298 + 0).
2, 7, 307
What are the prime factors of (118/20 - (-48)/80)*(6 - -3030)?
2, 3, 11, 13, 23
Suppose 37 = 6*r + 19. Suppose 0 = r*j + 3*q - 777, 5*q = -j + 3*q + 255. What are the prime factors of j?
263
Let i(w) = w**2 - 11*w - 7. Suppose 9*t = 17*t - 96. Let q be i(t). Suppose 0 = 3*s - 4*x - 11 - 47, 3*s - q*x = 59. What are the prime factors of s?
2, 3
Let y(g) = 27*g**2 + 834*g + 5880. List the prime factors of y(-7).
3, 5, 7, 13
Let d(k) = -54*k**3 + 8 - 9*k + 123*k**3 - 2*k**2 - k**2 + 10 + 5. List the prime factors of d(2).
5, 109
Suppose 0 = -5*n + 3*n - j + 4, -5*n - 3*j = -9. Let x be (276/10)/n - (-3)/(-15). Let h(r) = 2*r**2 - 15*r + 9. List the prime factors of h(x).
2, 3
Suppose 26*d = 36 + 120. Suppose d*n = 5089 + 2441. What are the prime factors of n?
5, 251
Let c(x) = 34*x + 32. Let q(r) = -r**2 - 13*r - 21. Let u be q(-10). What are the prime factors of c(u)?
2, 13
Let v(r) = 257*r + 38. Suppose 0 = -4*w + 5*c - 5, 7*w + 2*c = 6*w + 15. What are the prime factors of v(w)?
3, 7
What are the prime factors of (-227254)/(-6) - -2 - 63/(-189)?
2, 3, 59, 107
Let i be (-2)/(2 - 1) - -15. Let v be -65*(i/(-39))/(2/18). Let p = -75 + v. What are the prime factors of p?
2, 3, 5
Let q(n) = 2*n - 37. Let l be q(21). Suppose -l*a - 1 = 2*x - 6, -5*x = 5*a + 10. Suppose 3*z = 2*u - 77, -5*z + 58 = 4*u - a*u. List the prime factors of u.
43
Let w(y) = -y**3 - 17*y**2 - 6*y - 97. Let n be w(-17). Suppose 4*g - n*l = 6097, 2*l = -l - 3. List the prime factors of g.
1523
Let c = 56 - 49. Let l(w) = -4*w**3 - 17*w**2 + w + 1. Let b(q) = 3*q**3 + 16*q**2 - 2*q. Let r(j) = -6*b(j) - 5*l(j). What are the prime factors of r(c)?
191
Let z = 500 - 495. Suppose -2*v + 1190 = z*g - 8*g, v - 5*g - 595 = 0. List the prime factors of v.
5, 7, 17
Suppose 5*y - 4*c - 73096 = 0, 3*y - 35811 - 8079 = -3*c. What are the prime factors of y?
2, 457
What are the prime factors of ((-363)/(-6))/(9/774 - 0)?
11, 43
Let g be 292/18 + (-22)/99. Suppose g*t + 151 = 2087. What are the prime factors of t?
11
Let a = -3403 + 4993. What are the prime factors of a?
2, 3, 5, 53
Suppose 52*a - 39795 = 12985. List the prime factors of a.
5, 7, 29
Let p = -252 - -242. What are the prime factors of 6452/16 - p/(-40)?
13, 31
Let p(j) = -2*j**2 + 52*j + 59. Let a be p(27). Suppose z + 3*w - 501 = 5*w, 0 = -z + a*w + 498. List the prime factors of z.
503
Let t(a) = -a**2 + 6*a - 4. Let s be t(5). Let v(g) = -2*g + 6. Let j be v(0). What are the prime factors of (-2094)/(-36) - s/j?
2, 29
Let k(r) = 22*r - 27 - 3*r**3 - 17*r**2 + 4*r**3 - 1. Suppose 64 = 2*z + 2*z. List the prime factors of k(z).
2, 17
Let o be (-28)/8 - (-8)/(-16). What are the prime factors of (9/o)/((-7)/196)?
3, 7
List the prime factors of (-10)/12 + 3228448/384*2.
2, 7, 1201
Let k be 99/(-33) + 2 + -1 + 28. Suppose 24*v - k*v + 330 = 0. Suppose 64 = -2*x + 3*a + 235, 0 = 2*x - 5*a - v. What are the prime factors of x?
2, 3, 5
Suppose -5*g = -4*u + 43543, -5*g + 17420 = 3*u - 15281. List the prime factors of u.
2, 7, 389
Suppose -5*o - 60 = -10*o. Suppose -o*r + 8*r + 12 = 0. Suppose l - 25 = -2*g, 0 = 3*g + r*l - 34 - 2. List the prime factors of g.
13
Let f(h) = 71*h**2 + 60*h + 290. List the prime factors of f(14).
2, 7523
Let b be (15 - 3)*1/(-3) - -6. Suppose z - b*t + 975 = 6*z, 3*z + 2*t - 581 = 0. Let n = z + -94. List the prime factors of n.
103
Let l(t) = -t**2 + 13*t - 22. Let p(d) = 2*d - 4. Let k be p(4). Suppose 3*y + k*h = 47, 3*y = -y + h + 31. List the prime factors of l(y).
2, 7
Suppose -88 = -26*y + 28*y. List the prime factors of (-8)/y + (-144300)/(-110).
2, 41
Let p = -60 + 1078. Suppose -4*v = 5*h - 2760, -5*v + 1190 + p = 4*h. What are the prime factors of h?
2, 3, 23
Let w be (-2)/4*(1 - 1). Suppose w - 3 = -l. Suppose 0 = -l*q + 525 + 5
|
{
"pile_set_name": "DM Mathematics"
}
|
that 8*m**5 - 364*m**4/3 + 296*m**3/3 + 1456*m**2/3 - 1568*m/3 = 0.
-2, 0, 7/6, 2, 14
What is d in 4*d**5 + 289*d**4 - 2432*d**3 - 23954*d**2 - 26372*d - 5135 = 0?
-79, -5, -1, -1/4, 13
Factor g**3/7 - 25*g**2/7 - 988*g/7 + 1012/7.
(g - 46)*(g - 1)*(g + 22)/7
Suppose d**4/5 + 451*d**3/5 + 7590*d**2 + 182500*d + 175000 = 0. Calculate d.
-350, -50, -1
Factor -o**3/4 - 2867*o**2/4 + 5737*o/4 - 2869/4.
-(o - 1)**2*(o + 2869)/4
Find c, given that c**5 - 151*c**4/2 + 2907*c**3/2 - 11012*c**2 + 31264*c - 13056 = 0.
1/2, 8, 51
Find g, given that 22472*g**3/7 - 772528*g**2/7 + 1001254*g - 6258722/7 = 0.
1, 1769/106
Determine u so that -5*u**2 - 1529935*u - 1529930 = 0.
-305986, -1
Factor -i**2/3 + 144026*i/3 - 5185872169/3.
-(i - 72013)**2/3
What is p in -6*p**3/17 + 22*p**2/17 + 1676*p/17 - 3392/17 = 0?
-16, 2, 53/3
Factor 5*x**3 - 310*x**2 + 4075*x + 9430.
5*(x - 41)*(x - 23)*(x + 2)
Solve -3*t**5/2 - 594*t**4 - 3525*t**3/2 + 2358*t**2 = 0 for t.
-393, -4, 0, 1
Let 45084*w**5 + 133620*w**4 + 8367*w**3 - 128634*w**2 + 54180*w - 5400 = 0. Calculate w.
-2, 2/13, 15/34
Factor 44*n**3 - 3144*n**2 + 23040*n - 44672.
4*(n - 4)**2*(11*n - 698)
Factor o**3 - 1924*o**2 + 909860*o + 15054400.
(o - 970)**2*(o + 16)
Find b such that b**4/6 - 118*b**3/3 - 1741*b**2/6 + 4882*b/3 - 1782 = 0.
-11, 2, 243
Factor b**2/5 - 123907*b/5 + 495612/5.
(b - 123903)*(b - 4)/5
Let k**5/2 + 239*k**4 - 480*k**3 + k**2 + 959*k/2 - 240 = 0. What is k?
-480, -1, 1
Find k, given that -2*k**3/13 - 5158*k**2/13 + 5164*k/13 + 10320/13 = 0.
-2580, -1, 2
Find d such that -d**4/3 - 131*d**3 + 8329*d**2/3 + 9499*d = 0.
-413, -3, 0, 23
What is p in -2*p**2/9 - 327608*p/9 - 13415875208/9 = 0?
-81902
Factor -4*y**2/7 - 148*y/7 - 1360/7.
-4*(y + 17)*(y + 20)/7
What is y in -2*y**5 + 34*y**4 + 1010*y**3 - 25450*y**2 + 156672*y - 270504 = 0?
-26, 3, 6, 17
Solve b**2 - 110*b - 10431 = 0.
-61, 171
Factor l**3 - 184187*l**2 + 8481489016*l - 25442809392.
(l - 92092)**2*(l - 3)
Determine l so that l**5/2 + 72*l**4 + 3022*l**3 + 29503*l**2 - 6045*l/2 - 29575 = 0.
-65, -14, -1, 1
Determine c, given that -2*c**5/9 - 706*c**4/9 - 25942*c**3/9 + 56866*c**2/9 + 27368*c/3 = 0.
-311, -44, -1, 0, 3
Factor -30*j**3 + 3960775*j**2 + 660130*j.
-5*j*(j - 132026)*(6*j + 1)
Factor -2*f**2/13 + 4107364*f/13 - 2108804878562/13.
-2*(f - 1026841)**2/13
Determine t so that 18*t**3 + 505104*t**2 + 1683530*t + 1402900 = 0.
-28058, -5/3
Factor 3*y**4/5 + 27*y**3 - 2262*y**2/5.
3*y**2*(y - 13)*(y + 58)/5
Let -3*v**5 + 117*v**4 - 879*v**3 + 2079*v**2 - 162*v - 3240 = 0. What is v?
-1, 3, 4, 30
Find a, given that -3*a**5 - 423*a**4 - 825*a**3 + 1263*a**2 + 1656*a - 1668 = 0.
-139, -2, 1
Find d, given that d**4/4 - 718*d**3 + 2024253*d**2/4 + 27294813*d/2 = 0.
-26, 0, 1449
Factor -j**5 - 14240*j**4 - 50680158*j**3 + 101403040*j**2 - 50708641*j.
-j*(j - 1)**2*(j + 7121)**2
Suppose 6*d**4/5 - 153*d**3/5 + 666*d**2/5 - 15*d - 180 = 0. What is d?
-1, 3/2, 5, 20
Factor -p**2 + 42467*p + 84938.
-(p - 42469)*(p + 2)
Factor -3*z**3 - 56601*z**2 - 282930*z.
-3*z*(z + 5)*(z + 18862)
What is o in -o**5/2 + 127*o**4/2 - 857*o**3/2 + 2057*o**2/2 - 1023*o + 360 = 0?
1, 2, 3, 120
Determine q, given that -3*q**5 + 177*q**4 - 159*q**3 - 861*q**2 - 522*q = 0.
-1, 0, 3, 58
Factor p**2 - 436*p - 310080.
(p - 816)*(p + 380)
Suppose -2*k**4/3 + 5072*k**3/3 - 1433100*k**2 + 409333824*k - 2795693166 = 0. What is k?
7, 843
Factor -4*t**2 + 2459144*t - 377961825796.
-4*(t - 307393)**2
Find k such that 2*k**3 - 2354*k**2 + 689120*k + 2088600 = 0.
-3, 590
What is b in 2*b**4 + 7468*b**3 + 126538*b**2 + 594848*b + 475776 = 0?
-3717, -8, -1
Solve -w**5 + 50*w**4 - 255*w**3 - 410*w**2 + 616*w = 0 for w.
-2, 0, 1, 7, 44
Let 5*d**2/8 + 511*d/4 + 1421/8 = 0. What is d?
-203, -7/5
Suppose -2*o**5/9 + 758*o**4/3 + 6836*o**3/9 + 1520*o**2/3 = 0. What is o?
-2, -1, 0, 1140
Factor -k**3 + 2581*k**2 + 2584*k - 5164.
-(k - 2582)*(k - 1)*(k + 2)
Factor 2*r**2/7 - 5784*r/7 + 295360/7.
2*(r - 2840)*(r - 52)/7
Suppose -25*o**4 - 92190*o**3 - 2615895*o**2 + 1061110*o = 0. Calculate o.
-3659, -29, 0, 2/5
Determine f, given that f**2/4 - 49363*f + 2436705769 = 0.
98726
Determine v, given that -v**4 - 6402*v**3 - 6401*v**2 = 0.
-6401, -1, 0
Factor -845000*o**2/3 - 18200*o/3 - 98/3.
-2*(650*o + 7)**2/3
Solve -y**3 + 176*y**2 - 1503*y = 0.
0, 9, 167
Find i such that 63*i**5/4 - 201*i**4/2 + 237*i**3/4 + 639*i**2/2 + 168*i + 24 = 0.
-1, -1/3, -2/7, 4
What is f in -15*f**3 - 395*f**2 + 690*f - 280 = 0?
-28, 2/3, 1
Suppose 2*c**5/3 + 310*c**4/3 - 7714*c**3/3 + 4406*c**2 + 7080*c = 0. Calculate c.
-177, -1, 0, 3, 20
Solve -2*s**3/3 + 28540*s**2/3 + 314146*s/3 + 171372 = 0 for s.
-9, -2, 14281
Factor 2*h**2/15 + 566*h/15 - 57196/15.
2*(h - 79)*(h + 362)/15
What is j in -4*j**4 + 280*j**3 - 4836*j**2 - 4480*j + 78400 = 0?
-4, 4, 35
Factor c**3/3 + 5396*c**2 + 21826816*c - 262180864/3.
(c - 4)*(c + 8096)**2/3
Factor -2*z**2 - 253968*z - 8062468128.
-2*(z + 63492)**2
Factor 5*c**4 + 40*c**3 - 870*c**2 + 3200*c - 2375.
5*(c - 5)**2*(c - 1)*(c + 19)
Factor 16*x**4 + 20*x**3 - 92*x**2 - 24*x.
4*x*(x - 2)*(x + 3)*(4*x + 1)
Factor -3*a**3 - 387*a**2 + 24975*a - 335625.
-3*(a - 25)**2*(a + 179)
Find h such that h**4 - 666*h**3 - 669*h**2 + 1334*h = 0.
-2, 0, 1, 667
Factor -2*a**4/9 + 5156*a**3/3 + 3438*a**2 + 15472*a/9.
-2*a*(a - 7736)*(a + 1)**2/9
Factor 2*l**4/3 - 3752*l**3/3 + 7488*l**2 - 44896*l/3 + 29920/3.
2*(l - 1870)*(l - 2)**3/3
Determine s, given that -765*s**3 - 166301*s**2 - 64228*s + 868 = 0.
-217, -2/5, 2/153
Determine y so that 4*y**3 + 115*y**2 + 763*y - 198 = 0.
-18, -11, 1/4
Determine j so that -4*j**3 - 528*j**2 - 14484*j - 113288 = 0.
-98, -17
Determine d, given that 2*d**4/15 - 842*d**3/15 + 46156*d**2/15 + 1959400*d/3 + 650000 = 0.
-78, -1, 250
Find c, given that 4*c**5 - 5616*c**4 + 111092*c**3 - 515352*c**2 + 697536*c = 0.
0, 3, 14, 1384
Factor -2*v**4 - 120*v**3 + 124202*v**2.
-2*v**2*(v - 221)*(v + 281)
Find x, given that 74*x**5/11 + 1404*x**4/11 + 4476*x**3/11 + 544*x**2/11 - 6678*x/11 + 180/11 = 0.
-15, -3, -2, 1/37, 1
Factor -3*j**3/7 + 597*j**2/7 - 3489*j/7 + 2895/7.
-3*(j - 193)*(j - 5)*(j - 1)/7
Let 3*c**5 + 204*c**4 - 1569*c**3 + 642*c**2 + 14112*c - 21600 = 0. Calculate c.
-75, -3, 2, 4
Let -d**5/5 + 7*d**4/5 + 453*d**3/5 - 23*d**2/5 - 1336*d/5 + 180 = 0. Calculate d.
-18, -2, 1, 25
Suppose 13*y**4/3 + 208294*y**3/3 + 370814948*y**2 + 1980237374458*y/3 - 761794334105/3 = 0. Calculate y.
-5341, 5/13
Suppose -4*k**2 + 788436*k - 788432 = 0. What is k?
1, 197108
Let -256*u**5 + 35776*u**4 + 9104*u**3 - 20204*u**2 + 6164*u - 560 = 0. Calculate u.
-1, 1/4, 140
Find q, given that 10*q**4 - 4728*q**3 - 2157562*q**2/5 + 1737384*q/5 - 348232/5 = 0.
-79, 2/5, 551
Suppose s**2/2 - 239*s - 7084 = 0. Calculate s.
-28, 506
Factor -5*z**2/6 - 1955*z/6 - 24090.
-5*(z + 99)*(z + 292)/6
Find i such that -5*i**3 - 5065*i**2 + 10150*i = 0.
-1015, 0, 2
Factor -4*g**2/5 + 63624*g/5 - 253000836/5.
-4*(g - 7953)**2/5
Factor 2*g**2/3 + 23788*g/3.
2*g*(g + 11894)/3
Solve 4*q**5 + 64*q**4 - 1564*q**3 - 1624*q**2 = 0.
-29, -1, 0, 14
Solve 4*w**5/5 + 8*w**4 - 928*w**3/5 - 8*w**2 + 924*w/5 = 0.
-21, -1, 0, 1, 11
Find h, given that -820*h**5 + 9856*h**4 - 7572*h**3 - 17896*h**2 + 352*h = 0.
-1, 0, 4/205, 2, 11
Find z, given that 5*z**3 + 430*z**2 + 8355*z - 29070 = 0.
-51, -38, 3
Solve -18*x**5/7 - 6974*x**4/7 + 10926*x**3/7 + 13198*x**2/7 - 10908*x/7 - 6224/7 = 0.
-389, -1, -4/9, 1, 2
Suppose -2*m**5/7 + 122*m**4/7 + 1462*m**3/7 - 2746*m**2/7 - 16580*m/7 - 12496/7 = 0. What is m?
-11, -2, -1, 4, 71
Suppose 4*f**4 + 356*f**3 - 19560*f**2 - 1772800*f + 1792000 = 0. Calculate f.
-80, 1, 70
Find u, given that -u**2/8 + 363*u/2 + 130645/8 = 0.
-85, 1537
Let -5*f**3 + 33800*f**2 - 57256960*f + 455895040 = 0. Calculate f.
8, 3376
Let -s**5/4 - 59*s**4/4 + 813*s**3/4 - 2741*s**2/4 + 497*s = 0. What is s?
-71, 0, 1, 4, 7
Factor -2*x**2 + 2068*x - 6186.
-2*(x - 1031)*(x - 3)
Factor -k**3/3 - 4276*k**2/3 - 8549*k/3 - 4274/3.
-(k + 1)**2*(k + 4274)/3
Factor -2*g**3/5 + 116194*g**2/5 - 337537760*g + 1687572608/5.
-2*(g - 29048)**2*(g - 1)/5
Factor p**3/6 - 43*p**2/6 + 118*p/3 + 1190/3.
(p - 34)*(p - 14)*(p + 5)/6
Find a, given that -2*a**4/9 + 490*a**3/9 - 17200*a**2/9 + 164000*a/9 = 0.
0, 20,
|
{
"pile_set_name": "DM Mathematics"
}
|
m i*v + z*v**4 + n*v**3 + m*v**2 + b and give z.
-15162
Rearrange 51 - 49 + 1324*f + 32271*f**2 - 32270*f**2 to h*f + m + o*f**2 and give o.
1
Express 29*m**2 + 2*m**3 + 2 - 51*m - 4 + 53*m - 2 + 7 in the form d*m**2 + c*m**3 + a*m + r and give c.
2
Express 3496*f**2 - 416016 + 832027 - 416012 as n*f**2 + s*f + q and give n.
3496
Rearrange (0 + 1 + 4)*(-2621*h - 2273*h + 1041*h) to p + i*h and give i.
-19265
Rearrange (3*z + 3*z - 4*z)*(177 - 177 + 25*z)*(505 - 984 - 1168 + 87) to the form i + o*z + t*z**2 and give t.
-78000
Rearrange 244 + 234 - 718 - 6646*v + 238 + 664*v to s*v + a and give s.
-5982
Rearrange -9*d - 105*d**3 + 4 - 13*d - d**4 + 2*d**4 - 2 + 17*d to m*d**3 + v*d**2 + r + s*d**4 + c*d and give m.
-105
Express -82460*t - t**2 + 4*t**3 + 1 + 14*t**4 - t**2 + 82458*t + 3*t**2 + t**2 as w*t**3 + h + a*t**2 + l*t**4 + n*t and give n.
-2
Rearrange 1098 - 878 + 177 + 2007 - 2*l + 1723 to the form x*l + v and give v.
4127
Express 8749*j - 9872*j + 27756*j as p + u*j and give u.
26633
Express -173*b**2 + 328*b**2 - 153*b**2 + 13 + 3*b in the form a*b**2 + s + f*b and give f.
3
Rearrange 3*j**3 - 847*j + 251*j + 2*j**2 + 249*j + 264*j to the form p*j + m*j**2 + i*j**3 + d and give m.
2
Rearrange 21 + 41*x**4 + 10*x - 21 - 97*x**2 + x**3 - 38*x**4 - 11*x to the form j*x + u*x**3 + w*x**4 + i*x**2 + z and give i.
-97
Express (-2*z + 9*z - 3*z + 1)*(8 + 62 + 13)*(-z + 3*z + 7*z) in the form c*z + u*z**2 + b and give b.
0
Express 20272*k**3 - 40865*k**3 - 4*k**2 + 20315*k**3 as c*k + v*k**2 + j*k**3 + x and give j.
-278
Rearrange (14*v + 7*v - 8*v)*(-2 + 1 + 2 + (1 + 4 - 1)*(2 - 1 - 3)) - 8 + 8 - v to w + m*v and give m.
-92
Rearrange -21843*t**2 + 4172*t**2 - 10599*t**2 to the form r*t**2 + y + k*t and give y.
0
Express (5*z - z + 0*z)*(-421 - 559 + 224)*(-z**3 - 5*z**2 + 5*z**2) as b*z**3 + j*z**2 + s*z**4 + o + w*z and give b.
0
Express 379*r + 25*r**2 - 59 - 31*r**2 + 405 - 379*r in the form y*r**2 + u + c*r and give u.
346
Rearrange -4*h**3 + 2*h**2 - 2*h**2 + (-1 + 2 + 0)*(-h**3 + 2 - 2) + (-13 + 9*h + 13)*(h**2 + 9*h**2 + 4*h**2) to d*h + i + u*h**2 + p*h**3 and give p.
121
Rearrange -39*v - 42*v**2 - 31*v**2 + 31*v - 108*v**2 to q*v + l*v**2 + o and give l.
-181
Rearrange 165*o**2 + 17322*o - 17322*o + (-2*o + o + 0*o)*(-4*o - 4*o + 5*o) to the form b*o**2 + n*o + f and give b.
168
Express -170 + 183 - 27*n + 30*n - 17*n**2 in the form g*n**2 + a*n + w and give g.
-17
Rearrange -1968 + 68*a**3 + 5903 - 1965 - 1970 + 146*a**2 to q + g*a + z*a**3 + j*a**2 and give j.
146
Express -1748248*c**2 + 880077*c**2 + 884823*c**2 as m*c + q + b*c**2 and give b.
16652
Express (-1243 + 1243 + 45*g)*(0*g - 3*g - 4*g)*(6 + 0 - 3) in the form t*g**2 + j*g + l and give t.
-945
Express (-65 - 184*m + 29 + 36)*(-4 - 3 + 1)*(3*m - 25*m**2 - 3*m) in the form p*m**2 + l*m + y*m**3 + z and give y.
-27600
Express 28163 - a**4 - a**2 - 1083*a + 5*a**3 - 28162 - 3*a**3 as m*a + c + l*a**2 + i*a**3 + q*a**4 and give l.
-1
Rearrange 0*v - 63 - 3*v + 15*v + 1136 - 11*v to the form g + k*v and give g.
1073
Rearrange -120*x + 58*x + 45*x - 5 + 48*x to d*x + u and give d.
31
Express 5954*z - 11911*z + 5957*z - 9781*z**2 + (4 - 2*z - 4)*(-z - 4*z + 3*z) in the form c*z + v + l*z**2 and give l.
-9777
Express 15218*o**2 - 7561*o**2 - 8*o - 7411*o**2 in the form p*o + f*o**2 + u and give p.
-8
Rearrange (-2 + 1 + 3)*(a**2 + 0 + 0)*(-308213 - 911*a + 46*a + 308214) to d*a**3 + x*a**2 + i*a + y and give i.
0
Express -819017*v + 4*v**4 + 411187*v - 2*v**2 + 409617*v in the form p*v**4 + o*v**3 + j + s*v + f*v**2 and give j.
0
Rearrange 7478*r + 20638*r - 11102*r + 31742*r + (-r - r + 3*r)*(-2 + 1 + 2) to the form s*r + c and give s.
48757
Rearrange -2*w**3 - 7 + 137*w + 22*w**4 + w**2 - 103*w - 33*w to h*w + d*w**3 + o + y*w**4 + z*w**2 and give o.
-7
Rearrange (r - r - 3*r)*(-440 - 452 - 31) - 9*r - 10 + 10 to the form x*r + j and give x.
2760
Express (-30*k - 26*k + 19*k)*(4*k + 0 + 0) - 2*k**2 - k + k + (2*k + 1 - 1)*(2*k + 2*k - 2*k) in the form o + n*k**2 + z*k and give n.
-146
Rearrange 2*x**2 - 94 + 38*x**3 - 105 - 103 - 19*x + 302 to the form k + z*x + c*x**2 + n*x**3 and give c.
2
Express 6*s**3 - 4*s + 74*s**4 + 17 - 148*s**4 + 72*s**4 + 15*s**3 - 2*s**2 - 13*s**3 as a*s**4 + z + u*s**2 + n*s + f*s**3 and give a.
-2
Express (0*t**2 - 4*t**2 + 2*t**2)*(-10 + 3*t**2 + 10) - 3*t**4 + 15*t**2 - 15*t**2 in the form h*t**3 + u*t**2 + f + n*t**4 + v*t and give v.
0
Express -3*k**3 - 65 - 6*k**3 - 7*k**3 + k**2 + 20*k**3 - 4*k + k**4 - 3*k**3 as g*k**4 + v*k + t*k**3 + s + x*k**2 and give x.
1
Express (62*h**2 + 44*h**2 - 42*h**2)*(h - 3*h + 0*h + (0*h - h + 0*h)*(4 - 9 + 4)) in the form t + y*h + j*h**2 + l*h**3 and give j.
0
Rearrange (-165 - 1262 - 181)*(0 - 6*s - 10*s + 0) to the form a + h*s and give h.
25728
Rearrange 4 - 136*g + 760*g + 1150*g - 4 to the form c*g + b and give c.
1774
Rearrange 23662*t**4 + 6*t**3 - 707 + 706 - 23660*t**4 + (0*t - 3*t + 5*t)*(-t**3 - 2*t**3 + 0*t**3) to l + v*t**3 + i*t**4 + h*t + y*t**2 and give v.
6
Rearrange (-2*m**2 + m**2 - 8*m**2)*(-146*m - 99*m - 39*m + (2*m - 3*m + 2*m)*(0 - 3 + 1)) to the form g*m**3 + f + y*m + s*m**2 and give g.
2574
Express 77*g + 927 - 517 - 410 + 250*g in the form u*g + a and give u.
327
Rearrange (i**3 + 19*i**3 - 4*i**3)*(-145*i + 142*i - 410*i) to p + b*i**2 + n*i**3 + c*i + r*i**4 and give r.
-6608
Rearrange -27*a + 6*a**3 - 8*a**3 + 6296*a**2 - 8*a + 37*a to z*a**3 + y*a**2 + p + g*a and give y.
6296
Rearrange (10*u - 4*u**2 - 10*u)*(2895 - 12704*u + 2890 - 5785) to the form m + s*u**3 + l*u + j*u**2 and give s.
50816
Rearrange -1289*n - 314183 + 314183 to r*n + b and give r.
-1289
Rearrange -7 - 4464*h**2 + 4463*h**2 - 14 - 16 - 2*h - 3*h**3 to the form i + b*h**3 + r*h**2 + f*h and give i.
-37
Rearrange (-21 + 5 + 2)*(-3 + 11620*x + 0 - 11624*x) to the form m + b*x and give m.
42
Express 1205*p - 1 + 1 - 128*p + 6476*p in the form q + d*p and give d.
7553
Rearrange -7961 + 1176*k - 273*k + 7963 to the form m + n*k and give m.
2
Express 2 - 107*p - 111*p + 66*p - 3*p**2 - 104*p as b*p + h + x*p**2 and give b.
-256
Rearrange -7788 + 7788 - 693*n**2 to x*n**2 + l + k*n and give x.
-693
Express 30725 - 186*i**3 - 31557 + 183*i**3 in the form p*i**2 + c*i**3 + h + l*i and give c.
-3
Express -17*r**3 + 4 + 21*r**3 - r - r - 5*r**3 + 2*r**2 in the form o + h*r**2 + l*r**3 + n*r and give l.
-1
Rearrange i**2 - 5*i - 10*i + 7*i**2 - 7*i**2 + 296 + 22*i to the form n*i**2 + h*i + q and give h.
7
Express 195*n + 8*n**3 + 20*n**2 + 278*n - 469*n as q*n + u*n**2 + c + t*n**3 and give t.
8
Express (-2*w + 4*w + w)*(1 - 3 + 4)*(841*w + 2341*w + 37*w - 255*w) in the form o*w**2 + q*w + a and give q.
0
Rearrange (-4 + 2 + 0*p + 2*p)*(73*p**2 - 8905 + 17814 - 8905) to c*p**2 + h + r*p + x*p**3 and give x.
146
Express 12 + 17 + 90*h - 91*h + 130 + 61 in the form u*h + d and give d.
220
Express (-4 + 5 + 5)*(-i**4 - i**4 + 3*i**4) + (188 + 317 - 226)*(3*i**4 - i**4 - 3*i**4) as g*i**3 + c*i**4 + n*i**2 + w*i + h and give c.
-273
Express (1 + 0 - 3)*(403 - 2889*y + 339 - 741) as w + u*y and give w.
-2
Express 1877*r**2 + 50*r - 13*r - 9*r - 1880*r**2 + 44*r + 5 as m + p*r**2 + k*r and give m.
5
Express 2113327*c - 2113327*c - 457*c**4 + (2*c**2 + 0 + 0)*(-c**2 + 3*c**2 + c**2) in the form n + b*c**3 + d*c**2 + m*c + z*c**4 and give z.
-451
Express -41*t**3 - 33*t**3 + 1395*t**2 - 5*t**3 - 1394*t**2 - 3 in the form q*t**3 + u*t + v + k*t**2 and give k.
1
Rearrange 4 + 4 - 9822*i**3 - 6 - 17*i + 9792*i**3 to the form j + c*i**3 + u*i**2 + n*i and give c.
-30
Rearrange 21 - 8*f - 21 + (-549 + 367 - 1859)*((1 + f - 1)*(-5 + 4 + 0) - f + 2 - 2 - 2*f - f + f + 0*f + 0*f - 2*f) to the form t*f + g and give t.
12238
Rearrange m**2 + 7*m**2 - 24*m + 63*m + 24 - 11*m**2 - 2 to y*m**2 + d*m + a and give y.
-3
Express -54 + 3*o**2 + 76102*o + 11*o**2 + 6*o**2 - 76099*o as q*o + n*o**2 + i and give i.
-54
Rearrange p**2 + 266 + 11*p**3 - 5*p**3 + 0*p**3 - 6*p**3 - 2*p**3 to k*p**2 + f*p**3 + m*p + t and give f.
-2
Express -58 - 103 + 162 + 302*r as f*r + b and give b.
1
Rearrange -88*x**3 + 4632 + 44*x**3 - 4*x**4 - 4633 to the form r*x**2 + z*x**3 + q + u*x + s*x**4 and give q.
-1
Rearrange -4*h**4 + 6*h**4 - 10*h**2 + 5
|
{
"pile_set_name": "DM Mathematics"
}
|
c + (2 - (-1 - -3)). Let j(s) = -s**3 + 9*s**2 - 9*s + 5. Let t be j(8). What is the biggest value in g, -5, t?
g
Let v(x) = -x + 1. Let h be v(12). Let i = h + 15. What is the smallest value in i, -1, 1?
-1
Let q = 0.15 - -0.15. Which is the third biggest value? (a) q (b) -0.04 (c) -4/5
c
Suppose o + 101 = 2*t, -3*o - 156 = -0*t - 3*t. Let s = 246/5 - t. What is the smallest value in -4, -3, s?
-4
Let n = -38 - -38.1. What is the biggest value in 0.2, n, -1/4, 2/15?
0.2
Let r = 4.2 + -6.2. Which is the third smallest value? (a) 2/5 (b) 5 (c) r
b
Let d = 0.39 + 0.01. Let u = 4 - 0. Let r = -3.5 + u. What is the biggest value in d, r, -2/5?
r
Let q = -219 - -328. Let k = 3/2035 - 1992292/18315. Let c = q + k. What is the biggest value in c, -4, 2?
2
Let u = -41 - -37. Which is the third biggest value? (a) u (b) 4 (c) -1 (d) -0.2
c
Let t(w) = w**2 + 7*w - 6. Let j be t(-8). Which is the fourth biggest value? (a) 0.5 (b) -1.6 (c) -0.2 (d) j
b
Let q = 12 + -16. What is the smallest value in q, -0.1, 2?
q
Let l be 4/(-14) - 12/7. Let u = 19.42 - 19.4. Which is the smallest value? (a) l (b) -0.3 (c) u
a
Let p = 1.02 + -1.02. Which is the third biggest value? (a) -2/5 (b) 1 (c) -1/4 (d) p
c
Let w be (-4)/(-2) + 0/2. Let h be 46/(-14) + w - -1. Let x = 53.9 + -54. What is the smallest value in x, -1, h?
-1
Let w = -55797 - -2343611/42. Let j = -166 + 1138/7. Let t = j + w. Which is the smallest value? (a) t (b) 3 (c) 0.2
a
Let j = -21.3 - -19.3. Let r be ((-9)/(-12))/((-10)/(-8)). What is the third smallest value in r, 0, j?
r
Let a = -7.01 - -0.01. Let t = a - -5. What is the third smallest value in -0.3, 1/4, t?
1/4
Let j = 0.05 - 0.45. Let o = -0.05 - 18.95. Let z = o + 19.3. Which is the third biggest value? (a) z (b) 0.4 (c) j
c
Let p = 2 - -3. Let a = -137 - -136. What is the biggest value in -7, a, p?
p
Let m = 6.37 - 6.4. Which is the third smallest value? (a) 3 (b) -0.06 (c) m
a
Let j = -717/11 + 65. Let i be (2 - 12/9)*6. Suppose -24 = 2*s + i*n, 4*s - n = -2 - 1. Which is the biggest value? (a) j (b) 0 (c) s
b
Let i = 2 + -5. Let n be (-46)/(-6) + (6/(-9))/1. Which is the second biggest value? (a) n (b) i (c) -0.2
c
Let k = 9.82 + 0.18. Let h = 8 - k. Let t = -4.01 + 0.01. Which is the smallest value? (a) h (b) 0.4 (c) t
c
Let j be (-897)/35*(-10)/452. Let t = 1/226 + j. Let f = 2.2 + -4.2. Which is the second smallest value? (a) t (b) -4 (c) f
c
Let m = 10.5 + -13. Let v = 3 + m. Which is the biggest value? (a) v (b) 2/17 (c) 0.04
a
Let x = -9.9 + 9.7. Which is the fourth biggest value? (a) -1 (b) 2.1 (c) -4 (d) x
c
Let t = -4 - -2. Let x = 1.8 + 3.2. Which is the third biggest value? (a) t (b) -1 (c) x
a
Suppose -3*f = -0*f - 9. Let y be f/(0 + 3) - 0. Which is the third biggest value? (a) 0 (b) y (c) -4
c
Let a = -17/3 - -6. What is the smallest value in a, 2, -9?
-9
Suppose -5*w = 3*j + 7 + 43, 4*j + 20 = 0. Let g be (-19)/(-7) - 2/w. Let o = -4 + g. What is the third smallest value in 4, 3, o?
4
Let o = 3 + -2.6. Let i = -0.16 + -1.84. Let f = 1.3 - 0.3. What is the smallest value in f, o, i?
i
Suppose 3 + 0 = -3*o. Let x = o + 2. Which is the biggest value? (a) -3 (b) x (c) -2/3
b
Let s be (-2)/10*40/56. What is the third smallest value in 0.11, 1, s?
1
Let j = -7 + 6.4. Let q = j - -6.6. Let w = 6.3 - q. Which is the smallest value? (a) w (b) -0.2 (c) -5
c
Let u = -0.6 + 0.66. Let i = u + -0.46. What is the biggest value in 0.1, i, -4?
0.1
Suppose 0 = 6*q + 17 + 13. Which is the second biggest value? (a) 5/6 (b) -0.4 (c) q
b
Let f = -2 + 0. Let l = -2.4 - f. What is the third smallest value in -2/7, l, 2?
2
Let o be -1 + 14 + (-1)/1. Let r be 3 - (-335)/(-45)*2. Let j = o + r. Which is the third biggest value? (a) -4/5 (b) 4 (c) j
a
Let p(m) = -m**2 + m + 2. Let o be p(2). Let k(i) = -i**2 + 10*i - 17. Let n be k(8). Which is the third smallest value? (a) n (b) o (c) -2/9
b
Let p = 43 + -38. Let v = -28/51 - 2/17. Let q be 2*2/16*1. Which is the second biggest value? (a) p (b) v (c) q
c
Let y = 5/4 - 19/12. What is the second biggest value in y, 1, -0.2?
-0.2
Let s = 2.1 + -2.2. Let l = s - 0.1. Which is the second smallest value? (a) 0 (b) 0.12 (c) l
a
Let p = 1.1 - 0.1. Let v = 0.52 + 0.08. Let n = 0.7 - v. Which is the biggest value? (a) p (b) n (c) -0.5
a
Let c = 1.3 - 6.3. Suppose 0*d = 4*d + 36. What is the third biggest value in c, 0, d?
d
Suppose r - 59 = -b + 38, 3*r = -4*b + 289. Let f be r/742 - 2/7. Let t = f + 1/106. What is the biggest value in t, 1/2, -2/9?
1/2
Let y = 147 - 142. Let i = -6.94 - 0.06. Let u = i + 3. Which is the smallest value? (a) 2 (b) y (c) u
c
Let m be 2/((-4)/6) - 1. Let i be (-5)/m + (-1)/(-4). Let z = 6 + -8. Which is the biggest value? (a) i (b) 2 (c) z
b
Let u = -4.3 - 0.7. Let c = u - -4. Let v = -0.4 - -0.3. What is the biggest value in c, 4, v?
4
Let v(p) = -p**3 + 6*p**2 - 6*p + 2. Let a be v(4). What is the smallest value in 2, a, 1/3?
1/3
Let u = -16.3 - -16. What is the fourth smallest value in u, 3, -2, 4/11?
3
Let y = 4/89 + 53/801. Let k = 4/45 + y. Let f = 0 - -9. Which is the smallest value? (a) k (b) f (c) 0.5
a
Let i = 0.061 - 0.161. What is the second biggest value in 0, -4, i?
i
Let w be -1*(-121)/(-220) + (-6)/(-8). Let v = -1.1 + 0.5. Let q = -0.2 - v. Which is the third biggest value? (a) w (b) -2/11 (c) q
b
Let f be (-16)/4*(-4)/8. What is the biggest value in 3, f, 1?
3
Suppose -n - 2*n + 19 = 5*k, -9 = -5*n + 3*k. Let l = -5 + n. What is the biggest value in 5, l, -2/3?
5
Let g = -5 + 0. Let m = -4 + 6. Let n = m + g. Which is the second smallest value? (a) 0.4 (b) n (c) -2/5
c
Let g = -9 - -11. Suppose -4*v - 3*j - j + 12 = 0, -2 = -2*v + g*j. What is the smallest value in 5, -1, v?
-1
Let n = 0.15 - 0.55. Which is the smallest value? (a) 5/4 (b) -2/3 (c) 0 (d) n
b
Let t = -11 - -9. What is the smallest value in -19, 4, t?
-19
Suppose 0 = 4*z + 4, -5*r = 4*z + 1992 - 203. Let l be r/(-660) + (-1)/5. Let a = 12/11 - l. What is the second biggest value in a, 1/4, -5?
1/4
Let g = -15 - -1. Let y = -14 - g. Let r(x) = -4*x**2 + x. Let c be r(-1). What is the biggest value in -3/5, c, y?
y
Let p = -1.37 + 1.3. Let m = 0.37 + p. Let j = -0.05 - -0.25. Which is the third smallest value? (a) 2 (b) m (c) j
a
Let z = -1.46 + -0.04. Let o = -1.9 - z. What is the third smallest value in o, 4, 1/5?
4
Let s be ((-6)/(-4))/(-10 + 1). Let z = -6.1 - -6. What is the third biggest value in 3, z, s?
s
Let n = 269069/33 - 8153. Let p = n + -16/99. Which is the smallest value? (a) -0.5 (b) 3 (c) p
a
Let u = -2.95 - 0.05. Let h be (27/(-90))/((12/15)/(-1)). Which is the smallest value? (a) h (b) 1 (c) u
c
Let m = 2509 + -2519.93. Let j = m + 11. Which is the third biggest value? (a) 0.2 (b) -1/3 (c) j
b
Let y be (-10)/(-15)*3/(-4). Which is the second biggest value? (a) -0.1 (b) 4 (c) y
a
Let t = -0.2 - -0.6. Which is the third biggest value? (a) t (b) -0.5 (c) -1.2
c
Let a = 50.61 + -51. Let w = a - 0.01. Let z = -0.4 - 0.1. What is the third biggest value in w, 3/2, z?
z
Suppose -4*i + 55 = 6*f - f, -45 = -3*i - 5*f. Let k be (-6)/i*4/6. Which is the second smallest value? (a) -0.2 (b) 0.4 (c) k
a
Let z = 8 - 11. Let i = 11/15 + -5/6. Let s be (2/10)/(((-9)/(-75))/3). Which is the third biggest value? (a) s (b) z (c) i
b
Let q = -25 + 24.7. Let u = -2.4 - -2. Which is the third smallest value? (a) 0.3 (b) u (c) q
a
Let o be 4/(-6) - (-51)/9. Let u = o - 1. What is the biggest value in u, -3, 3?
u
Let i be ((-2)/(-6))/(8/(-6)). Suppose -3 + 9 = -k. Let s = 8 + k. Which is the smallest value? (a) 0.5 (b) i (c) s
b
Let y = 9 - 4. Let d = y + -8. Which is the second biggest value? (a) -1/4 (b) d (c) 0
a
Let k = 0.6 + 9.4. Which is the second biggest value? (a) -2/5 (b) k (c) -2
a
Let b = 0.2 + -0.2. Let q = 0.17 + 3.83. Let c = b - q. What is the smallest value in c, 1, 5?
c
Let q = 12 + -17. Let f be ((-20)/6 + 0)*(-24)/(-100). What is the third smallest value in q, -3, f?
f
Let i be (8/(-3) - -4)/4. What is the second smallest value in -4, -3, i, 1?
-3
Let i = -16/55 - -1/11. Let j = -11 + 15. Let n = j + 0. Which is the second smallest value? (a) i (b)
|
{
"pile_set_name": "DM Mathematics"
}
|
*-5 - sqrt(152)) + ((-5*sqrt(152) - sqrt(152)) + sqrt(152))*-2)/(1*(sqrt(648)*-1 + sqrt(800)*2)).
-21*sqrt(19)/11
Simplify 4 + (-3*(-1 + sqrt(1008))**2 + (1*(sqrt(1008) - (sqrt(1008) + -1*sqrt(1008))))**2)*3 + 2 + 5.
-6046 + 216*sqrt(7)
Simplify 4*((-1*sqrt(147))**2*-3 + sqrt(147)*-5 + -4 + 4 + -2).
-1772 - 140*sqrt(3)
Simplify (-3*sqrt(234)/sqrt(6)*-5*-4)/(sqrt(6)/sqrt(32) - -5*sqrt(432)).
-240*sqrt(13)/241
Simplify (sqrt(147)/(sqrt(3) + sqrt(36)/(2*sqrt(12)))*-6)/(-2*-5*((sqrt(84)*-2)/sqrt(12) - sqrt(7))).
2*sqrt(7)/15
Simplify (sqrt(84)*1 + -1*sqrt(84)/sqrt(4))/((2*sqrt(3) + sqrt(3))*-6 - (sqrt(3) - sqrt(48)*-3)) + 1 + -3.
-2 - sqrt(7)/31
Simplify (-3*3*(sqrt(153) - sqrt(17))*5 - (5*sqrt(136)*-2)/(-2*sqrt(72) + sqrt(72))) + -1.
-280*sqrt(17)/3 - 1
Simplify (-1*(sqrt(880)*-1 + sqrt(880))*-1)/((-2*sqrt(176) + sqrt(121)/(sqrt(176) - sqrt(11)))*3)*1.
0
Simplify 3*((3*(sqrt(171) + 0))**2 + 0)*-4*-1.
18468
Simplify ((-5*(sqrt(204) - sqrt(204)*-3) - sqrt(204) - (sqrt(204) - (sqrt(204) - (sqrt(204) + 2*sqrt(204))))*-5)/(sqrt(132)/(5*sqrt(99) - sqrt(11))*-3))**2*-4.
-53312
Simplify ((-6*(0 + 2*sqrt(80) - (-1*sqrt(80) + 1)) - (2 + sqrt(80)*2 + -3 + 1))*-2)**2.
-3840*sqrt(5) + 128144
Simplify (0 + ((1 + sqrt(6292))*-3 + 5 + sqrt(832)*-1)*6)**2 + 2.
-10656*sqrt(13) + 2562914
Simplify 1 + -5 + ((-4 + sqrt(300) + sqrt(300) + 2 + sqrt(300))**2 + sqrt(300)*2*-2)*4.
-640*sqrt(3) + 10812
Simplify (2*(sqrt(85)*1*-1 + sqrt(85)*2*-4))/(1*5*-1*sqrt(80)).
9*sqrt(17)/10
Simplify 3*(sqrt(76) + (sqrt(76) - -2*sqrt(76))*6 - (-1*sqrt(76)*-2 + sqrt(76))**2) + (((sqrt(76) + 2)*1 + sqrt(76))*1 + 2)**2.
-1732 + 146*sqrt(19)
Simplify 1 + (((3*2*sqrt(80))/sqrt(4))/(sqrt(256) + -3*sqrt(256)*4 + sqrt(256) + sqrt(256) - sqrt(256)))**2.
329/320
Simplify 0 + -5*2*sqrt(1008)*1 - (-5*(-3*sqrt(1008) + -1) + -4).
-300*sqrt(7) - 1
Simplify (2*5*(-2 + (sqrt(448) + sqrt(448)*-1 + 1 + (sqrt(448) + 2)*1)*-4))**2.
89600*sqrt(7) + 736400
Simplify 0 + (2*sqrt(320))**2 + sqrt(320) - (sqrt(320) + sqrt(320) + 2*sqrt(320))**2*1 - ((2*sqrt(320)*-6 - sqrt(320)) + -3 + -2 + sqrt(320))**2.
-49945 - 952*sqrt(5)
Simplify 5*-1*-3*5*(sqrt(245) + -1)**2*2*-6.
-221400 + 12600*sqrt(5)
Simplify ((sqrt(156) - (sqrt(156) - (sqrt(156) - 3*1*sqrt(156))))/sqrt(4))/(2*3*sqrt(147))*-6.
2*sqrt(13)/7
Simplify (5*((-4 + (sqrt(125) - (sqrt(125) - (1 + sqrt(125)))) + -2 + sqrt(125)*-1 - 2*(sqrt(125) + 0)*4) + 4))**2.
2000*sqrt(5) + 200025
Simplify 4 + sqrt(9)/(sqrt(3)*-5) + (-1 + sqrt(432) - sqrt(432)) + sqrt(21)/sqrt(7) + -4 + sqrt(3) + ((sqrt(30)*3)/sqrt(10) + sqrt(3))**2.
9*sqrt(3)/5 + 47
Simplify (sqrt(264)/((sqrt(66) - (sqrt(66)*-1 + sqrt(66) - sqrt(66)))/sqrt(11))*-6)/(1*sqrt(36) - (sqrt(4) - 5*sqrt(4)*2)) + -3.
-3 - sqrt(11)/4
Simplify 5*((-1*(0 + -3*sqrt(19)) - (sqrt(2736) + -2 + -4))**2 + 2).
-540*sqrt(19) + 7885
Simplify (4*(-2 + -1 + 4 + (sqrt(128) - (5*(-1 + sqrt(128) + sqrt(128)) + sqrt(128) + sqrt(128)) - -3*(-1 + sqrt(128))) + -3))**2.
131072
Simplify (sqrt(120)/(sqrt(10)/sqrt(2)) + sqrt(120)/(sqrt(45)/sqrt(9)))/((-1*sqrt(972)*-4 - sqrt(972)) + sqrt(972) + sqrt(972) - 6*2*sqrt(972)).
-2*sqrt(2)/63
Simplify 0 + -1*(-2 + -3*(-4 + sqrt(1053)) + -1 + ((sqrt(1053) + -4)*-5)**2).
-26734 + 1827*sqrt(13)
Simplify ((5*sqrt(112)*1)/(sqrt(128)/sqrt(4) + sqrt(32)))/((-3*(sqrt(56) + sqrt(14)))/sqrt(2)*-4).
5*sqrt(2)/144
Simplify (sqrt(49) - (sqrt(294)*-1)/sqrt(6))/sqrt(1008) - ((4*-2*sqrt(7) - (((sqrt(126)/sqrt(3))/sqrt(6))**2 - sqrt(7))) + 5).
2 + 43*sqrt(7)/6
Simplify (-6*(1 + -5 + -4 + -5 + sqrt(68) + 4 + 2 + -1))**2.
-1152*sqrt(17) + 4752
Simplify 0 + sqrt(4800) + sqrt(36)/(sqrt(72)/(sqrt(96) + sqrt(6)) + sqrt(12)) + -2 + (-1 + (sqrt(120)/sqrt(4))/sqrt(10))**2 + -1.
1 + 233*sqrt(3)/6
Simplify (((sqrt(144) - -5*sqrt(144)*-2)/(sqrt(6) + sqrt(6)*-2*1 + sqrt(6) + sqrt(6)))/(sqrt(96)/(sqrt(360)/sqrt(5))*-5))**2.
1458/25
Simplify 2*sqrt(19)*4*-5 + -1 + ((sqrt(19) + sqrt(19) + -1 + sqrt(19))*-5*3)**2 + -2 + 5.
-1390*sqrt(19) + 38702
Simplify (-6*1*sqrt(1280)*4)/((sqrt(144) + -2*sqrt(144))/(sqrt(72)/(sqrt(16)/sqrt(2)))).
96*sqrt(5)
Simplify 5 + 2*((sqrt(108) + -5*1*sqrt(108) + sqrt(108))*-1)/(sqrt(18)/(sqrt(132)/sqrt(11))).
5 + 36*sqrt(2)
Simplify (-2*-4*6*((1*(1 + sqrt(405)) - sqrt(405))*-6 + -4) + 2)**2.
228484
Simplify 2*(-2 + (-4*sqrt(117) + -2 - (sqrt(117) + 3 + 5)**2)).
-120*sqrt(13) - 370
Simplify -1*(5 + (3 + (sqrt(7) - sqrt(28)) + 0)**2) + (1 + sqrt(112) + 2 - (sqrt(112) + -5 + 0 + sqrt(112) + sqrt(112)))*-1.
-29 + 14*sqrt(7)
Simplify 5*(-2 + -2*(1 + 1 + (sqrt(243) + sqrt(243) + 1)*-6 + -2*sqrt(243)*-1))**2.
10800*sqrt(3) + 486180
Simplify (5 + (sqrt(25) + (sqrt(100) + sqrt(25))*2)/(-6*(sqrt(5) + 2*sqrt(5))) - ((sqrt(405) + sqrt(405) + 1 + sqrt(405))*3 + sqrt(405) + 1))**2.
-1627*sqrt(5)/9 + 13235969/324
Simplify 1 + (1 + sqrt(68))**2*-6 + 2*(sqrt(68) - (0 + sqrt(68))) + -4*(sqrt(68) + (-1 + ((sqrt(68) - -4*sqrt(68) - sqrt(68)) + sqrt(68))**2 - sqrt(68))).
-7209 - 24*sqrt(17)
Simplify ((-4 + 1 + sqrt(80) + -3)*-1 + 3)**2 - (-3*(sqrt(80) + 1) + -3 - (-5 + 1 + sqrt(80))*5)**2.
-5155 + 824*sqrt(5)
Simplify 4 + ((sqrt(36)*1*-1 + (1*sqrt(2304) - sqrt(2304)))/(-2*2*sqrt(12) - (sqrt(108) - (sqrt(108) - (2*sqrt(108) - sqrt(108))))/sqrt(9)))**2*-2.
94/25
Simplify -6*sqrt(99)/(sqrt(441)*-3) + ((2*(2 + sqrt(176)))**2 - (sqrt(176) + 2*sqrt(176) + -4)**2).
-880 + 1122*sqrt(11)/7
Simplify (-3 + (sqrt(162)*-2)/sqrt(9) - 2*((sqrt(288) + sqrt(18) + sqrt(18))/sqrt(9) - (sqrt(200) - 2*sqrt(200))))**2.
228*sqrt(2) + 2897
Simplify ((sqrt(972) + sqrt(972)*-3 - sqrt(972)) + sqrt(12))/(2*sqrt(196)) + (-5*(sqrt(432) - 1*sqrt(432)) - (-3*sqrt(432) + -4)).
4 + 239*sqrt(3)/7
Simplify -5*(((3*(-5 + sqrt(7)))**2 - (sqrt(7) - sqrt(63)/(4*sqrt(9)))) + sqrt(112) + -3 + 2 + 4).
-1455 + 1735*sqrt(7)/4
Simplify (((2*sqrt(450) + sqrt(450) + sqrt(450))*4 + sqrt(450))/sqrt(10)*3)/(4*(1*sqrt(4374))/sqrt(6)).
17*sqrt(5)/12
Simplify 6*((-3*(sqrt(891) + (-5*sqrt(891) - sqrt(891) - sqrt(891))))**2 + sqrt(22)/(5*2*sqrt(2))).
3*sqrt(11)/5 + 1732104
Simplify -3*-5*(sqrt(510)/(sqrt(10)*1) + sqrt(1836)*-2 + sqrt(51))/(2*sqrt(243) + sqrt(3) + (sqrt(48) - sqrt(3))).
-75*sqrt(17)/11
Simplify -3*((3*(1*sqrt(228) - sqrt(228)))/((sqrt(84) - sqrt(84)*-1)/sqrt(7)) - (0 + (5*sqrt(171) - (sqrt(19) - (sqrt(19) + sqrt(19)*1 + 4)))**2)).
384*sqrt(19) + 14640
Simplify 3*(0 + (sqrt(605) + sqrt(605) + 1)**2 + 5 + 3*(1 + sqrt(605)))*-2.
-14574 - 462*sqrt(5)
Simplify -4*(-4 + sqrt(288) + -1)*6 - ((sqrt(288) - 3*sqrt(288)*3) + -4 + 3).
-192*sqrt(2) + 121
Simplify (-1 + (2*sqrt(72) + sqrt(72) + sqrt(72) + sqrt(72) + 4 + 3*(sqrt(72) + -1) - (4*sqrt(72)*-1 + 4 + sqrt(72) + 2)))**2.
-792*sqrt(2) + 8748
Simplify (-4*(sqrt(11) + -5*sqrt(11) + 4)*-6 + (sqrt(2816)/sqrt(4) - sqrt(396)/sqrt(4)))**2.
-17472*sqrt(11) + 100307
Simplify 4*(sqrt(1440) - -2*sqrt(1440) - sqrt(1440))/sqrt(2) + 3*(sqrt(1125) - sqrt(45))*2.
168*sqrt(5)
Simplify (6*2*sqrt(190)*1)/(-1*sqrt(360)*-2)*-4.
-4*sqrt(19)
Simplify (((3 + 2*sqrt(2592) - ((-2*sqrt(2592) - sqrt(2592)) + 4)) + -2 + 5 + -2 + sqrt(2592))*-5)**2.
2332800
Simplify 2 + -2*(6*(sqrt(72) + 2) + (sqrt(72) - -2*sqrt(72) - sqrt(72))*1 + -4).
-96*sqrt(2) - 14
Simplify (-1 + (-4*(sqrt(300) + 3) - sqrt(300)) + (-4 + sqrt(3) + (sqrt(3) - (sqrt(3)*-4 + sqrt(3))) - 2*sqrt(3)*3)**2)*4.
-168*sqrt(3) + 24
Simplify ((3*(-1*sqrt(468) - sqrt(468)) - (sqrt(468) - ((-4*(sqrt(468) + 1) - sqrt(468)) + sqrt(468))))*5 + sqrt(468) + 0 + sqrt(468) + -1 + -6*sqrt(468)*1)**2.
14868*sqrt(13) + 1629549
Simplify 6*(-1*-2*sqrt(288) + (sqrt(288) + -1)**2*3 + (5*(sqrt(288) + 3*sqrt(288) + sqrt(288))*1)**2).
-288*sqrt(2) + 1085202
Simplify ((3*sqrt(275)*-3 + 5 + -3*(-5 + sqrt(275) + 0))*4)**2.
-38400*sqrt(11) + 640000
Simplify ((sqrt(200) - 1*1*sqrt(200)) + 6*sqrt(200)*-3 + -5*(-3*(sqrt(200) - sqrt(200)*1) - -2*(sqrt(200) + sqrt(200)*1)) + 5)**2.
-3800*sqrt(2) + 288825
Simplify (1*(-4 + sqrt(1700)) - (-2*sqrt(17)*6 + -3))**2 + 5.
-44*sqrt(17) + 8234
Simplify (-5*(sqrt(68)*1*-6 + 1*sqrt(68)*-6 + sqrt(68) + sqrt(68) + sqrt(68)))/((sqrt(252)*-4)/(2*sqrt(28))).
-15*sqrt(17)
Simplify (-3*(4*(sqrt(832) + -1) + 4*2*sqrt(832) + 0 + (-1*sqrt(832) + sqrt(832))*2*-4 + 0))**2.
-6912*sqrt(13) + 1078416
Simplify (4*(-3 + 3*(sqrt(125) + sqrt(125) + 3)*-5)*-5*-4)**2.
92160000*sqrt(5) + 73474560
|
{
"pile_set_name": "DM Mathematics"
}
|
(sqrt(684) - ((sqrt(684) - 4*sqrt(684)) + 3)) + 5 + sqrt(95)/(sqrt(720) - ((sqrt(720)*5 - sqrt(720)) + sqrt(720) + sqrt(720)))*-6.
2 + 241*sqrt(19)/10
Simplify 4*(-3 + 4*(-3*(1*sqrt(2299))**2 - (sqrt(152)/(sqrt(8)*3) + 0))).
-110364 - 16*sqrt(19)/3
Simplify (((sqrt(550) + sqrt(22))*4)/(sqrt(33)/(4*sqrt(3))) + -1 + (-5*(sqrt(20) + (sqrt(80)/sqrt(4) - sqrt(20))))/((2*sqrt(110))/sqrt(11)))**2.
-187*sqrt(2) + 34971/2
Simplify (-2 + (1 + sqrt(245) + 0)**2*3 + 3)*-4 + 4.
-2952 - 168*sqrt(5)
Simplify (4*((sqrt(15) - (((-1*sqrt(180))/sqrt(12) - sqrt(15)) + sqrt(15))) + sqrt(15) + 1*(sqrt(15) + (sqrt(60)/sqrt(4) - sqrt(15)))))/(-2*-1*2*sqrt(75)).
4*sqrt(5)/5
Simplify -5*(((2*sqrt(99)*-4)/(-6*sqrt(36)))**2 + (-5 + 1 + 0 + sqrt(1100))**2).
-50440/9 + 400*sqrt(11)
Simplify 3 + ((-1 + sqrt(363) + sqrt(363) - (-1 + sqrt(3)*1) - (sqrt(3) + (-2 + -2 + sqrt(3) - sqrt(3)) - sqrt(12)/sqrt(4)*-2)) + -1)**2.
108*sqrt(3) + 984
Simplify 5 + (-3 + sqrt(3) + 2 + sqrt(3) - (sqrt(45)/sqrt(5))/sqrt(3)) + 0 + sqrt(3) + 1 + sqrt(3) + (1 + sqrt(3))*1.
6 + 4*sqrt(3)
Simplify (-3*(sqrt(99) + (sqrt(99) - 2*sqrt(99)*-1) - sqrt(99) - (sqrt(99) + -2*sqrt(99)*-2))/(sqrt(81)/(sqrt(18)/sqrt(2))*5)*-6)**2.
14256/25
Simplify 6*(3*(sqrt(1700) + sqrt(1700) + 2 + sqrt(1700))*2*5 + 4 + -5 + 4).
378 + 5400*sqrt(17)
Simplify -3 + -2 + (1*(sqrt(99) + sqrt(99) + -1) + (sqrt(99) - (sqrt(99)*-1 - sqrt(99)))*6)**2 + (2 + (-2*sqrt(99) + sqrt(99))**2 - -1*sqrt(99)*-6).
-138*sqrt(11) + 39697
Simplify ((-3*sqrt(450)*1)/((sqrt(600) + sqrt(600)*1)*-3))**2*-5.
-15/16
Simplify ((-5 + sqrt(5) + -2 + 1)*-2 + (sqrt(5)*3*-2 - (sqrt(160)/sqrt(4))/sqrt(8)))**2.
-216*sqrt(5) + 549
Simplify 5 + -1*((6*((sqrt(704) + -3 - sqrt(704)) + sqrt(704))*-4*-6)**2 + 0) + -3.
-14784766 + 995328*sqrt(11)
Simplify 0 + 0 + (sqrt(270)/(sqrt(490) + 1*sqrt(490) + sqrt(490)))**2 + (-1*sqrt(81)/sqrt(27))**2*-5.
-732/49
Simplify ((1 + sqrt(684))*-2)**2 + 5 + (sqrt(684)*-2)**2 + 3 - (1*(-2*(sqrt(209) - sqrt(209)*1) + sqrt(209))/(sqrt(11)*2*5))**2.
48*sqrt(19) + 548381/100
Simplify (sqrt(216) + sqrt(216)*2*-5 - -1*sqrt(216)*-4)/(-3*sqrt(1200)*-2*2).
-13*sqrt(2)/40
Simplify -1 + 4*(5*-3*(5 + sqrt(1872) + -2 + sqrt(1872)))**2 + -1 + -3.
129600*sqrt(13) + 6747295
Simplify (1 + 2 + sqrt(605)*-3 + 3 + sqrt(605) + 0 + 4)**2.
-440*sqrt(5) + 2520
Simplify ((6*(sqrt(153) + sqrt(153) + (sqrt(153)*-2 + sqrt(153))*-1)*-3)/(-3*sqrt(576) - (-2*sqrt(144) - sqrt(144) - sqrt(144))))**2.
12393/16
Simplify -3 + ((-1*sqrt(308)*-2 - (sqrt(308) + (2*sqrt(308) + sqrt(308))*5))/((sqrt(99) + 3*sqrt(99)*-4)/sqrt(9)))**2.
5125/121
Simplify ((sqrt(190) - (sqrt(190) + (-4*sqrt(190)*-1 + sqrt(190) - sqrt(190) - sqrt(190)))) + -1*sqrt(190)*2)/(sqrt(1210)*1 - sqrt(640)*-2) + -1.
-1 - 5*sqrt(19)/27
Simplify ((-2*(sqrt(170) - sqrt(170)*1))/(-1*sqrt(160)) + (sqrt(17) - (-2 + sqrt(153)) - (sqrt(17) + -4)*-1))**2.
4*sqrt(17) + 21
Simplify 5 + -5 + 1 + -3*(-1*sqrt(128)*-5*-1)**2 + -5.
-9604
Simplify 1 + ((2*(sqrt(176) + -2 - sqrt(176)) - (sqrt(176) - 2*(-3 + sqrt(176)))) + ((sqrt(176) - (sqrt(176) + 3 - sqrt(176))) + 5 - (sqrt(176) + 3)*-3))**2.
40*sqrt(11) + 4402
Simplify (sqrt(800) - (sqrt(800)*-1*2 + sqrt(800))) + sqrt(800)*1 + -4 - (5 + sqrt(80)/(sqrt(10) - (sqrt(30) - sqrt(1920))/sqrt(3))).
-9 + 239*sqrt(2)/4
Simplify ((1*(sqrt(300) - (sqrt(300) + -2*sqrt(300)))*6*-1)/((sqrt(30)/(sqrt(10)/sqrt(2)) - 5*(sqrt(6) - (sqrt(6) - sqrt(18)/sqrt(3))))*-5))**2.
18
Simplify sqrt(567) + 4*(sqrt(567) - (-1 + sqrt(567))**2) + -3*1*sqrt(567) - (-3*(sqrt(567) - (sqrt(567) + -3)) + 0 + sqrt(567) + 0)**2.
-2920 + 252*sqrt(7)
Simplify (4*(2*sqrt(968) - sqrt(968))*-4)/(sqrt(20)/(sqrt(5) + sqrt(5)*-2) - (sqrt(144) + (sqrt(144) - -2*sqrt(144)))).
176*sqrt(2)/25
Simplify (-2*(sqrt(49) - sqrt(98)/sqrt(2)) + 2*sqrt(1764))/(sqrt(28)*2*2).
3*sqrt(7)/2
Simplify ((sqrt(171) + 1 + sqrt(171) + sqrt(171) + 4)**2 + sqrt(171) - 3*(2 + sqrt(171))) + (-6*2*sqrt(228) + sqrt(228))/(sqrt(72)/(sqrt(12)/sqrt(2))).
73*sqrt(19) + 1558
Simplify 3 + (3*sqrt(18)/sqrt(3)*5*-3)/(sqrt(6)/sqrt(2)*-6 + -2*sqrt(3)*-1).
3 + 45*sqrt(2)/4
Simplify ((-4*sqrt(64))/(2*sqrt(200)) + -3 + -2 + -2)**2.
56*sqrt(2)/5 + 1257/25
Simplify 1 + ((sqrt(363) - (1 + sqrt(363))*-1 - (sqrt(363) + (sqrt(363) + sqrt(363)*-2)*3) - (4 + 1*(-1 + sqrt(363)))) + 1)**2.
-66*sqrt(3) + 3269
Simplify -4*-6*((sqrt(80) - (6*-2*sqrt(80) + sqrt(80)) - sqrt(80)) + 5 + (sqrt(80) - (sqrt(80) - -3*sqrt(80))) + sqrt(80) + -1)**2.
6912*sqrt(5) + 155904
Simplify (sqrt(45)/(sqrt(9) + sqrt(27)/sqrt(3)) + sqrt(5) - sqrt(5)) + -2 + 0 + sqrt(5) + -5 - (((-1*sqrt(135))/sqrt(9))/(sqrt(6)/sqrt(2)*6))**2.
-257/36 + 3*sqrt(5)/2
Simplify (-5 + (-3*-3*sqrt(950))/((-2*sqrt(2200) + sqrt(2200))/sqrt(11)))**2.
45*sqrt(19) + 1639/4
Simplify -2*(sqrt(44) + 3 + -3 + (sqrt(11) + 0)*6*-4)*3.
132*sqrt(11)
Simplify (sqrt(24)/(sqrt(96)/sqrt(8)) + -5)*-5 + (-3 + sqrt(10)/sqrt(180))*-6.
-6*sqrt(2) + 43
Simplify 5 + (((-1 + sqrt(700) - sqrt(7)) + (sqrt(77)*4 - sqrt(77))/sqrt(11))**2 - (3*sqrt(567) - (-3 + (4*sqrt(7))**2))).
-51*sqrt(7) + 1123
Simplify (sqrt(63) + -3*sqrt(63) - sqrt(63) - (sqrt(448) + sqrt(448) + 2) - ((4 + 2*sqrt(7))*1 + 4))**2.
540*sqrt(7) + 5203
Simplify (5*1*(-4*(-2*sqrt(78) - sqrt(78)) - sqrt(78)))/(-4*sqrt(18)/(sqrt(9)/sqrt(3))*-4).
55*sqrt(13)/16
Simplify (3*(-5 + 1 + -3*(sqrt(539) - (2 + sqrt(539) + 2) - (2 + -2*sqrt(539)))))**2.
-10584*sqrt(11) + 176400
Simplify -6*(0 + 5*((sqrt(1216) - (0 + sqrt(1216) - sqrt(1216))) + -5)*-2)**2*1.
-744600 + 48000*sqrt(19)
Simplify 2 + (((sqrt(126) - -2*sqrt(126))*6 - (sqrt(126) - 2*sqrt(126)*6))/(((2*sqrt(140))/sqrt(4) + sqrt(35))/sqrt(5)))**2.
1684
Simplify (((sqrt(2736) - (0 + sqrt(2736)*3))*5 + 0 - (-4*sqrt(2736)*3 - (-1 + sqrt(2736)*-2)))*-2)**2.
4
Simplify -2 + ((sqrt(420)/(sqrt(48)/sqrt(4)))/(sqrt(125)*2) - (sqrt(14)/(1*-2*sqrt(2))*4)**2).
-30 + sqrt(7)/10
Simplify -3*sqrt(3)*3 + sqrt(24)/sqrt(8) + -1 + 5 + ((sqrt(288)/sqrt(6)*-6)**2 - (sqrt(48) - (sqrt(48) + -1 + -1))).
-8*sqrt(3) + 1730
Simplify ((-1*sqrt(440)*2)/(2*sqrt(640))*2)/((sqrt(16) + (sqrt(400)*6 - sqrt(16)) + sqrt(16))/(2*sqrt(12)/sqrt(3) - sqrt(4))).
-sqrt(11)/124
Simplify -6*((sqrt(72)/(sqrt(240)/sqrt(10)))/(sqrt(66)/((sqrt(11) - -1*sqrt(11))*3 - sqrt(11))) + -4)**2.
-171 + 120*sqrt(2)
Simplify (-1*(sqrt(7) - (sqrt(7) + (sqrt(7) + 0)*6))*-6 + (sqrt(567) + -1 - sqrt(567) - sqrt(7)) + sqrt(252) + 4 + sqrt(252))**2.
-150*sqrt(7) + 4384
Simplify 5 + 3 + -6*(-4 + -2*(sqrt(1573) + 2) + 5).
26 + 132*sqrt(13)
Simplify -1 + ((-5*(1*(sqrt(91)*1 - sqrt(91) - sqrt(91)) - sqrt(91)))/(sqrt(700)*-1 + sqrt(7) + sqrt(56)/(sqrt(8) - (sqrt(16)/sqrt(2) + sqrt(8)))))**2.
12
Simplify (-1 + 4 + -3 + 2 + sqrt(1331) + (1 + sqrt(275) + -1 + -4)*4)**2.
-868*sqrt(11) + 10767
Simplify 2 + (-6*sqrt(2268) + -4 + sqrt(2268) - (sqrt(2268)*1 + 3))**2 + 3.
1512*sqrt(7) + 81702
Simplify -1 + ((-5 + -1 + -1*sqrt(325))*-6*6*5)**2 + 0.
1944000*sqrt(13) + 11696399
Simplify -4*(((sqrt(130) - (sqrt(130) + sqrt(130)*1*-6 + sqrt(130))) + sqrt(130)*1*1)/(sqrt(80)/(sqrt(40)/sqrt(5)) + -2*sqrt(250)))**2.
-208/9
Simplify (3 + sqrt(1584)*1 + sqrt(1584) - (1 + sqrt(1584) + 5) - (2*sqrt(1584) + -2 + sqrt(1584) + -5*-1*sqrt(1584)))**2*-3.
-232851 - 504*sqrt(11)
Simplify (4*(sqrt(3025) - -3*sqrt(3025))*1)/(sqrt(320)*-3 + -4*sqrt(5)*6 + sqrt(5)).
-176*sqrt(5)/47
Simplify ((sqrt(1728) + (sqrt(1728) + -1*sqrt(1728) - sqrt(1728)))*4)/(-4*(sqrt(256) + (sqrt(256)*-2 - sqrt(256))))*3.
0
Simplify (-4 + 6*((1 + sqrt(2448))*-4 + sqrt(2448))*3)**2*4*4*-6.
-685837824 - 9455616*sqrt(17)
Simplify 3 + (-3*(sqrt(90) + -1*sqrt(90) + sqrt(90))*-4)/((sqrt(288)*1)/(sqrt(36)*2)).
3 + 36*sqrt(5)
Simplify -4 + (3*(6*sqrt(8) - ((sqrt(10) - sqrt(160)) + sqrt(10) + sqrt(10))/sqrt(5)))**2 - (2*sqrt(1936))/(sqrt(288)*3).
-11*sqrt(2)/9 + 3038
Simplify -1*2*((sqrt(1008) - ((sqrt(1008)*2 - sqrt(1008)) + -4)) + -5*(sqrt(1008) + sqrt(1008)*-5 + sqrt(1008)))**2.
-453632 - 2880*sqrt(7)
Simplify (-6*sqrt(900)*6)/((1*sqrt(132)*2)/sqrt(11))*6.
-540*sqrt(3)
Simplify ((sqrt(5103) - (sqrt(5103) + 2))*1 - (sqrt(2268) + -4 + 4))**2 + 3.
72*sqrt(7) + 2275
Simplify -3*-3*sqrt(112) + (sqrt(112) + -2)*-6 - (sqrt(112) + -2 + -4 - ((-2*sqrt(112) - sqrt(112))**2 + 3 + sqrt(112))).
12*sqrt(7) + 1029
Simplify (-1*((-4*sqrt(243))**2 + 1) - (6*-2*sqrt(363)
|
{
"pile_set_name": "DM Mathematics"
}
|
(1/4)*z*z))/((z**(-2)/((z**(4/7)/z)/z))/(z**(2/3))**(-2/13)) assuming z is positive.
z**(-7873/1092)
Simplify (((k/(k/(k**(-3/11)*k)))/(k*k**8))/((k/(k/(k**(-7/4)/k)))/k)**(-1/23))**(-42) assuming k is positive.
k**(179277/506)
Simplify ((c**(-1/5)/c*c*((c/(c/(c/(c/c**(-35)))))/c)/c)**1)**(-21) assuming c is positive.
c**(3906/5)
Simplify (i**(2/59))**(4/9)*(i/(i*i/(i*i**35))*i)/(i**(-4/11)/i) assuming i is positive.
i**(218329/5841)
Simplify ((v**(-1))**(2/47)/((v**0/v)/v*v)**(-31/3))/((v**2*v)**(1/13))**3 assuming v is positive.
v**(-20288/1833)
Simplify (s*(s/s**1)/s)/s*s*s*s**(-5/2)*((s*s/(s**(-2/11)/s*s))/s)/((s/(s*s**7))/s)*(s**2)**40*(s*s**(3/7))/s**(2/5) assuming s is positive.
s**(68307/770)
Simplify (k*k*k/k**(-7)*k)/(k*(k**(-4/3)*k)/k)*(k/((k*k/((k**(-6)*k*k*k)/k))/k))/k**(2/9)*(k**(-8)*k**(1/11)*k)**(-1/35) assuming k is positive.
k**(25324/3465)
Simplify ((r**14*r/r**(2/7))/(r**4)**(-4/7))**(-2/13) assuming r is positive.
r**(-34/13)
Simplify (((n**(-5/7)*n)/n)/(n/(n*n*n*n*n/(((n/(n*n**(-20)*n))/n)/n)*n)))/(n**(-4))**(9/2) assuming n is positive.
n**(37/7)
Simplify ((((p*p*p**(-1))/p)**17/(p**0)**(-3))**(-3/20))**(1/23) assuming p is positive.
1
Simplify x/(x/(x/(x/x**(-19))))*(x/(x*x**43*x))/x*(x*x**(1/39))**(-2/13) assuming x is positive.
x**(-32528/507)
Simplify (n**(-23)/(n*n**(1/5)*n)*n*n*n*n**(-1/10)*n**(4/13))**(-30) assuming n is positive.
n**(8577/13)
Simplify (((q**1/q**1)**(19/5))**(-2))**(28/3) assuming q is positive.
1
Simplify ((j*j**(-5))/j*j*j**7)**(1/29)/((j/(j*(j**13*j)/j)*j)/j**0)**(-31/5) assuming j is positive.
j**(-10773/145)
Simplify (g*g*g*g**14*g*g*g)/(g*g**11)*(g/(g/(g/(g**(2/9)*g)))*g)/g*g**(1/49) assuming g is positive.
g**(3439/441)
Simplify ((g*g**(2/5)*g*g**(5/3))/(g*g**(1/4)*g)**(-8/11))/(g/(g**(1/6)*g)*(g/(g/g**(-3/4)))/g*(g*g**(-2))**(-47)) assuming g is positive.
g**(-25991/660)
Simplify (((k**(1/12)*k)/k)/k)/(k*k*k*k*k**5)*(k*k**(-1/4))**7*k**(-4/11)/k**6*k**(-4)/(k**0/k) assuming k is positive.
k**(-463/33)
Simplify ((m**(-17)/(m*m/m**(-1/4)))/((m/m**(-2/97))/m*m*m**(-1/16)))**(6/7) assuming m is positive.
m**(-94089/5432)
Simplify (z*z**5*z)/(z**(3/4)/z)*z**(1/2)*z**3*(z*z/(z*z**(-1/3))*z**(1/3)*z*z*z)**33 assuming z is positive.
z**(659/4)
Simplify (((i**(4/7)*i**5)/(i**(-7)*i*i**(-1/9)/i))**(4/7))**(-31) assuming i is positive.
i**(-99076/441)
Simplify ((k*k**(-9/2)/k)/(k**3*k))**(-46)*((k/(k/(k**1*k)))/(k*k*k*k**(-7)*k*k))/((k/(k*k**1*k))/k)**(29/2) assuming k is positive.
k**(877/2)
Simplify ((q*q/(q*q/(q*q**(1/8)/q)))**(-2/23))**(-25/2)*((q**(-2)/q)**27)**(2/21) assuming q is positive.
q**(-9761/1288)
Simplify (p/(p/p**(2/13))*p**(-1/4))/(p**(-2)/(p/(p*p**(5/2)/p*p)))*((p/(p*p**(2/19)*p))/((p*p/p**(-4))/p*p*p*p))**13 assuming p is positive.
p**(-117537/988)
Simplify (n/(n**1/n)*n**(-1/6))/(n**(-1/3)/(n*n**(-2/3)))*((n**(-2)*n)/n*n**(-1/10))**22 assuming n is positive.
n**(-447/10)
Simplify (((l*l**(-2/15))/(l/(l*l*l*l/l**(-3/5))))/(l/(l/(l/((l*l*l*l/l**(-24))/l))*l))**14)**(-5/11) assuming l is positive.
l**(-5737/33)
Simplify ((n*n**3)/n**(4/9)*(n**3)**(-33/4))**(4/5) assuming n is positive.
n**(-763/45)
Simplify (((s**(6/11)*s)/s)/s)**(2/137)*s**(4/3)/(s**20/s*s) assuming s is positive.
s**(-84422/4521)
Simplify (n**0*n*n*n/(n**13/n))**(-1/4)/(n*n/(n*n**(4/3))*n**(-2/7)*n*(n*n*n**(-4/5)*n)/((n/((n/(n*n*n**(-1/2)*n))/n)*n)/n)) assuming n is positive.
n**(1331/420)
Simplify ((u**(-2/11))**41/((u**3*u)/((u/u**5)/u)))**(-31) assuming u is positive.
u**(5611/11)
Simplify (k*k**8)/(k*k**(-1))*k**5*k*k*k*k**(-5)*k*(k**0)**(-1/2)/((k/(k/((k/(k**(-2)*k)*k)/k)))/k*k**(-5)) assuming k is positive.
k**17
Simplify (q/q**(1/5)*q**(-7/2)/q)**(-1)*((q**13/q)/(q*q**(1/9)))**44 assuming q is positive.
q**(43453/90)
Simplify ((f**(-3/11)*f)/(f*f**27*f))/(f**(2/31)/(f/(f/(f**(-22)*f)))) assuming f is positive.
f**(-16824/341)
Simplify ((x/(x*x**0*x))/x)**31/((x/x**(2/11))/(x/x**1))*(x*x**(2/3)/x*x*x*x**5)/(x/(x*x/x**1*x)*x**3) assuming x is positive.
x**(-1886/33)
Simplify u**(-1)*u**(2/5)/u*u*u/(u**0*u)*u**(3/5)*(u**(-2/5))**(-30)/(u*u/((u/(u/(u*u/(u**0/u)*u))*u)/u))**11 assuming u is positive.
u**34
Simplify (w*w**(-14)*w*w*w**6/w*(w*((w/w**3)/w)/w)**5)**(-4) assuming w is positive.
w**84
Simplify (l**(1/4)*l**(-4/9)*(l**(-2)*l)**(-10))/((l*l**0)**43/(l/l**(-5)*l*(l/(l/l**(-7)))/l)) assuming l is positive.
l**(-1231/36)
Simplify (u/u**(-11)*u*u**7)**(-23)*(u/((u**(1/5)/u)/u))**23*(u/(u*u**(2/11)*u))/(u**(2/3)*u) assuming u is positive.
u**(-65744/165)
Simplify ((a**(-1)/a)**(-29/4))**(-11)*(a*a*a**0)**9*(a/a**(1/2))**(-29) assuming a is positive.
a**(-156)
Simplify (((j**(-13)/j*j)/j*j/(j**(-1/6)/j))/(j/j**(-2/11)*j**(-16)*j))**6 assuming j is positive.
j**(131/11)
Simplify ((j/(j/(((j/(j**2*j))/j*j)/j)))/(j/((j**(-4)*j*j*j*j)/j)*j)*(j*j*j**(-2/7))**45)/((j**(-2/11))**36)**(2/19) assuming j is positive.
j**(105090/1463)
Simplify ((d/(d**(2/3)*d))**(2/21)/(d/(d/((d*d/d**(-2/11)*d*d)/d))*d**(1/12)/d*d*d))/((d*d**1*d*d)**(3/4))**(-23) assuming d is positive.
d**(179269/2772)
Simplify (n**(1/25)/n)/n*n/n**(2/29)*n**(-32)*n**32 assuming n is positive.
n**(-746/725)
Simplify n**(-5/3)/n*n*n**(-7)/n*((n/n**(3/7))/n)/(n/(n**(-3/5)*n))*(n*n**1)**7/(n**(-3/4)*n**(-1/3)/n) assuming n is positive.
n**(2263/420)
Simplify (c/c**(1/10)*c*c*(c/((c*c/(c*c**(-7)*c*c))/c*c))/c)**(-2/31)/(((c*c**(1/4))/(c**1/c*c))/(c/(c/(c*(c*c**0)/c*c)))**(-11)) assuming c is positive.
c**(-441/20)
Simplify (((m**11*m)/m)**(6/25)/(m**(-12/5)/m)**48)**(2/47) assuming m is positive.
m**(8292/1175)
Simplify ((p*p**(-2)*p*p)**48)**(2/61)*p**(-1/4)/(p**8*p)*(p/(p/p**(1/3))*p)**8 assuming p is positive.
p**(2189/732)
Simplify p**(3/7)/(p*p/(p**2/p)*p)*p/p**4*p**(2/3)*(p**(2/7))**29*(p**(1/4))**(5/6) assuming p is positive.
p**(257/56)
Simplify ((k*k/(k*k**(-1)))**(-13/5)/(k**1)**18)/((k*k**(-3/4))/k**1*((k*k**3)/k*k)/(k/(k*k**(-7)))) assuming k is positive.
k**(-389/20)
Simplify (o**(-1/3))**(-24)/(o**(1/2)*o*o*o**0/o)*((o/o**(-4))/o**(-1/2))/(o**3*((o*o*o*o**(-2/3))/o)/o) assuming o is positive.
o**(26/3)
Simplify ((z*z**(-2/13))/(z/(((z**(-10/9)/z)/z*z*z)/z*z)*z))/(z**(-3/11)/z**(24/7)) assuming z is positive.
z**(12940/9009)
Simplify ((h/h**(-2/5))**(-42)*h**(-2/13)*h*h**(3/2))/((h**0*h**(-1)/h)/(h**0*h**(1/6))) assuming h is positive.
h**(-10586/195)
Simplify (d**19/(d*d*d**32*d)*d/(d/(d*d/(d**(3/20)/d*d))*d)*(d/(d**22*d))/d)**(-12) assuming d is positive.
d**(2289/5)
Simplify (a/a**(-15)*a**(-1/3)*a**15/a**(-11))**(-7) assuming a is positive.
a**(-875/3)
Simplify ((g/(g**(2/17)*g))**41*g**(7/5)/(g/((g/g**(-16))/g)*g))**31 assuming g is positive.
g**(27869/85)
Simplify ((h*h/(h/(h/(h/h**(-1/4))*h)))**0*h**(4/5)/h**(-2/3))/(h**(-1/4)/(h**(2/13)*h*h)*((h*h**2*h)/h*h)/h*h*h**(3/8)*h) assuming h is positive.
h**(-2347/1560)
Simplify ((((x/(x*x/x**2))**(-7/6))**(33/5))**40)**(43/3) assuming x is positive.
x**(-13244/3)
Simplify (((t**(-3/10)/t)**(-11/2))**(-47))**(1/25) assuming t is positive.
t**(-6721/500)
Simplify ((n**1)**(-3/7)*n**(-3/8)/(((n*n/(n*n**(-9/4)*n))/n*n)/n))**(-2/49) assuming n is positive.
n**(115/1372)
Simplify (((m/(m*(m**(-2/21)/m)/m))/m**6)/(m*m/(m**0/m))**(-7/6))/((m**(-2/5))**(-8/17))**(-5/4) assuming m is positive.
m**(-121/714)
Simplify ((t*t**(-4/11))/(t**(-2)/t))**15*t**(-2/7)*t**(-8)*t**(-1/7)/((((t*t/(t/(t/((t/t**6*t*t)/t)*t)*t*t))/t)/t*t)/t) assuming t is positive.
t**(3320/77)
Simplify (z**14*z**(-2/35)*(((z/(z**19*z))/z*z)/z)/(z/(z/(z**(-3/7)/z)*z*z*z)))**(18/7) assuming z is positive.
z**(-1026/245)
Simplify ((r*(r*r**7)/r)**36*(r**(-4/17)*r)/(r**(-13)*r))**(1/25) assuming r is positive.
r**(5113/425)
Simplify (f**(4/5)*f/f**(1/5))**(-1)/(((f*f**0*f)/f**(-2/9))/(f/((f**(1/3)*f)/f))**(9/4)) assuming f is positive.
f**(-209/90)
Simplify ((c**(1/4))**(2/127))**(2/5)*(c*c**1)**(-1/52)*(c**(1/7)*c)/c*c*c**5 assuming c is positive.
c**(705667/115570)
Simplify (m**(-1/11)*m/(m*m**(-3))*m**6/m**(-6/5))/((m*m/((m/(m/(m**(-1)*m)))/m))**32)**(-2) assuming m is positive.
m**(11116/55)
Simplify (y**(-2/41)*y**2)**(-2/81)/((y*y**(1/4))**(-30)*y**(1/11)/(y/y**8)) assuming y is positive.
y**(2218229/73062)
Simplify (((y*y*y**(-2/15))/(y**(1/10)*y*y))/(((y*(y/(y*(y/(y**(2/7)*y))/y))/y)/y)/(y/y**(-3))))/((y**(2/5)*y)**(-37)*(
|
{
"pile_set_name": "DM Mathematics"
}
|
by y?
4
Let y be 0 + (-64)/(-12) + (-1)/3. Suppose z = -y*q + 3*z + 166, -5*q - 4*z + 148 = 0. Let l = 63 - q. Calculate the remainder when 90 is divided by l.
28
Suppose -3*l = -5*l + 3*c + 71, 0 = -3*l - 2*c + 74. What is the remainder when l is divided by 6?
4
Suppose -7743*o + 1053 = -7716*o. Let q = -8 - -13. Suppose -5*f + q*p + 5 + 60 = 0, -4*f + 55 = -5*p. Calculate the remainder when o is divided by f.
9
Suppose -303 = -3*k + 87. Suppose 2*x - k = x. Suppose 14*y = 4*y + x. Calculate the remainder when 20 is divided by y.
7
Let d(g) = -g**2 + 25*g - 67. Let a be d(22). Calculate the remainder when 52 is divided by a + 28 + 36/(-6).
10
Let g = -1167 + 1749. Let d = g - 279. What is the remainder when d is divided by 77?
72
Suppose -4*q = -3*f - 1913, 16*f - 1452 = -3*q + 24*f. Suppose -318 = -4*o - 2*o. What is the remainder when q is divided by o?
52
Suppose -95*g + 1224 = 5*g + 36*g. What is the remainder when 250 is divided by g?
7
Suppose 0 = 4*a + a + 2*c - 27, 4*a = -2*c + 22. Suppose a*q = 232 - 42. Calculate the remainder when (-2)/4 + (-4)/(56/(-3185)) is divided by q.
37
Let u(v) = 4*v + 306. Let r(g) = 49*g + 3675. Let f(k) = 3*r(k) - 35*u(k). Calculate the remainder when f(16) is divided by 11.
9
Let j(d) = d**3 - 14*d + 15*d + 9 + 21*d**2 + 35*d. Calculate the remainder when 90 is divided by j(-19).
43
Suppose -2*z = -11*z + 9. Let s(l) = -7*l + z - 18*l - 1. Calculate the remainder when 148 is divided by s(-1).
23
Suppose -5*r = -3*o + 6957, 59*r = 54*r + 30. Calculate the remainder when o is divided by 215.
179
Let l = 2931 - 2587. What is the remainder when l is divided by 89?
77
Suppose -2 + 0 = -2*c, 0 = 2*p - 5*c - 735. Suppose 9*j + 82 - p = 0. Let x(d) = d**3 + 5*d**2 - 3*d - 6. Calculate the remainder when j is divided by x(-5).
5
Let v be 375/35 - (-4)/14. Let g be 270/(-33) + 2/v. Let b(a) = a**3 + 7*a**2 - 16*a - 3. Calculate the remainder when b(g) is divided by 16.
13
Suppose 3*i - 509 - 118 = 5*q, -2*i + 420 = -3*q. Calculate the remainder when 234 is divided by i.
15
Suppose -5*m + 125 = -4*j, -m - 5*j = -4*m + 75. What is the remainder when (-64)/(-2) - (2 + -6) is divided by m?
11
Suppose -16*k + 5504 + 2068 + 6732 = 0. What is the remainder when k is divided by 34?
10
Let r(o) = 3*o**3 - 12*o**2 + 6. Let j be r(4). Suppose -44 = -28*i + j*i. Calculate the remainder when (1 + 1)/(-2)*-3 is divided by i.
1
Suppose -198*x + 202*x - 656 = -4*p, p + 5*x - 136 = 0. What is the remainder when 3057 is divided by p?
150
Suppose 7*l + 304 = 528. What is the remainder when l is divided by 9?
5
Let m(t) = -35*t**3 + 13*t**2 - 5*t - 7. Calculate the remainder when 387 is divided by m(-1).
19
Let n(f) = f**3 + 7*f**2 + 5*f + 2. Let m(i) = -16*i**2 + 145*i + 16. What is the remainder when m(9) is divided by n(-6)?
1
What is the remainder when 104 is divided by (-45)/(-18)*342/15?
47
Let m(x) = -x**3 - 3*x**2 + x. Let c = 31 + -30. What is the remainder when 17 + (2 - (-4 + c)) is divided by m(-4)?
10
What is the remainder when (-2)/4*456/(-12) is divided by 3 - (1 - (-12)/(-4))?
4
Suppose -760*x + 762*x = 14. What is the remainder when (1*3/(-6))/(x/(-1008)) is divided by 20?
12
Suppose 3*j - 496 = 3*c - 268, 4*j + 5*c - 241 = 0. What is the remainder when 3651 is divided by j?
63
Suppose 3*m = 3*z + 198, -6*m + 328 = -2*m + 4*z. What is the remainder when 281 is divided by m?
59
Let n(x) = -646*x + 10429. Suppose -9 = -3*g, 2*p + 4 = 5*g + 39. Calculate the remainder when n(16) is divided by p.
18
Let f = -544 - -534. Calculate the remainder when 257 is divided by (12*55/f)/(-2 + 1).
59
Let n(h) = -h**2 + 50*h - 518. What is the remainder when 1*-97*1/(-1) is divided by n(35)?
6
Suppose 20*l + 1480 = 10*l. Let u = 438 + l. What is the remainder when u is divided by 14?
10
Let f(k) = -25*k - 38. Let t be f(-2). Suppose 5*i = v - t, 5*v - 2*i - 62 = 21. Calculate the remainder when 18 is divided by v.
1
Let j(d) = -d**3 - 4*d**2 + 8*d - 1. Let h be j(-6). Let l(t) = -9 + h - 10 - t**2 - 11 + 18*t. Calculate the remainder when l(7) is divided by 24.
22
Let z = 30 + 54. Suppose 0 = 2*b + 2*m - 20 - z, 2*b = 4*m + 104. What is the remainder when 207 is divided by b?
51
Let w(d) = 21*d**2 + 619*d - 921. Suppose u + 73 = 2*l, 77 = 2*l + 6*u - 3*u. Calculate the remainder when w(-31) is divided by l.
34
Let p(n) = n + 5. Let b be p(-2). Let d be (b - (4 + -5)) + -2. Calculate the remainder when 31 is divided by ((0 - 1)/(-1))/d*14.
3
Suppose -5*t - 35 = -5*c, -c - 4*t = -0*c + 8. Suppose 19*m = 1130 - 275. Suppose 5*i + m = 2*h, 0 = i + 2*i + 9. What is the remainder when h is divided by c?
3
Let l(w) = -16*w + 160. Suppose 3*r + 9 = 2*d, -3 - 9 = -4*r. What is the remainder when l(d) is divided by 4?
0
Let v(c) = 2*c**3 + 6*c**2 + 2*c + 4. Let i be v(-3). Calculate the remainder when i + (-894)/(-6) + -3 is divided by 21.
18
Let x = -3518 - -3539. What is the remainder when 34 is divided by x?
13
Let i be ((-108)/21)/(10/(-35)). Let p(m) = -m**2 + 24*m - 4. Calculate the remainder when p(i) is divided by 22.
16
Calculate the remainder when 475 is divided by 489/5 - (-7)/(-35)*(6 + -7).
83
Let z(n) = 11*n + 169. Suppose -p = 5*f + 34, -p - 4*p = 5*f + 90. Calculate the remainder when 39 is divided by z(p).
9
Let o be 36/(-27)*(-66)/2. Suppose -4*p = -0*p, -4*p + o = 2*f. What is the remainder when 86 is divided by f?
20
Let h = -13725 + 13907. Calculate the remainder when h is divided by 96.
86
Let p(v) = -v + 55. Let q be p(-9). Suppose -41*o = -4*l - 36*o + 128, -2*l + q = 4*o. Suppose -3*g = -18 - 15. Calculate the remainder when l is divided by g.
10
Let x = 548 - 333. Let r = -202 + x. Calculate the remainder when 37 is divided by r.
11
Let t(l) be the second derivative of -l**5/20 + l**4/3 + 2*l**3/3 + 43*l**2/2 + 2*l + 15. Calculate the remainder when 471 is divided by t(0).
41
Let y(z) = -z - 12. Let m be y(-17). Suppose -3 = r - 3*u + 3, m*u = 5*r. Suppose j + r = 9. Calculate the remainder when 8 is divided by j.
2
Let l = -12 - -25. Let s = -50897 - -50957. What is the remainder when s is divided by l?
8
Let h(x) = -x**3 + 22*x**2 - 66*x + 28. Calculate the remainder when h(13) is divided by 101.
85
Let t(m) = -2*m**3 - 4*m**2. Let z be t(-3). Let r be -3*(-4)/(-24) + (-91)/(-14). Calculate the remainder when ((-42)/z - -2) + 704/r is divided by 17.
15
Suppose a = -v + 63, 2*a - 4*v - 44 = 58. Calculate the remainder when 5486 is divided by a.
58
Suppose -3*u - 8*v + 104 = 39, -3*u = -v - 110. Calculate the remainder when 80 is divided by u.
10
Suppose -3*s + 5*m = -172, 0 = 4*s - 4*m - 362 + 138. Let z = 40 + s. What is the remainder when z is divided by 49?
45
Suppose 4*x - 2*y = 7*x - 3627, -2*x + 2429 = 5*y. Suppose 1277 = 12*r - x. What is the remainder when r is divided by 21?
18
Suppose 7*q = 439 + 51. What is the remainder when q is divided by ((-225)/(-420)*8)/(3/14)?
10
Suppose -610 = -4*u - 5*n, 9*n = 2*u + 6*n - 316. Let c = 802 - u. Calculate the remainder when c is divided by 24.
23
Calculate the remainder when 1254/(-4)*((-122)/87 + 696/10092) is divided by 38.
0
Let m(g) = 19*g - 58. Let z be m(6). Suppose 6*j + 14 - z = 0. What is the remainder when j is divided by 4?
3
Suppose 3*f + 47 = 4*z, 3*z + 2*f = 15 + 33. What is the remainder when (24/51)/(-4) + (-8127)/(-153) is divided by z?
11
Let v = -230 - 13. What is the remainder when 3/((2/4)/(v/(-18))) is divided by 64?
17
Suppose 8*c + 9*c = 2873. Suppose 43 = -9*i + c. Calculate the remainder when 111 is divided by i.
13
Let i(o) = -2259*o - 4894. What is the remainder when i(-3) is divided by 59?
54
Let k be ((-22)/4)/(6/132). Let f = 777 + -738. Calculate the remainder when 2/11 - 13167/k is divided by f.
31
Let f(o) = -7*o**2 + 12*o**2 - o + 4 - 6*o**2 + o**3. Let i be f(0). Calculate the remainder when (-21)/6 + i + (-45)/(-2) is divided by 14.
9
Suppose -14*u = -20*u + 342. Calculate the remainder when u/19 + (1 - -21) is divided by 16.
9
Suppose 6 = -2*b - 4*v, 5*v = b - 2 - 16. What is the remainder when ((-3)/(-9))/((-21)/(-1953)) is divided by (70/7)/(3*1/b)?
1
Suppose 3*c - 12 = 0, w = -0*w + 2*c - 4. Suppose -5*m = 3*n - 578, -3*n - 1 = w*m - 464. What is the remainder when m is divided by 29?
28
Let z = 357 - -346. Let t = z -
|
{
"pile_set_name": "DM Mathematics"
}
|
9?
-18
What is 31 (base 7) in base 15?
17
8 (base 16) to base 9
8
What is 51 (base 8) in base 7?
56
-10 (base 10) to base 5
-20
33 (base 4) to base 2
1111
-62 (base 15) to base 10
-92
11 (base 12) to base 7
16
What is -130 (base 7) in base 10?
-70
10 (base 4) to base 10
4
-2 (base 5) to base 8
-2
What is -1243 (base 5) in base 7?
-402
Convert 0 (base 5) to base 3.
0
0 (base 3) to base 4
0
What is -302 (base 5) in base 9?
-85
2 (base 15) to base 6
2
Convert -10 (base 3) to base 16.
-3
Convert 19 (base 10) to base 11.
18
What is 0 (base 10) in base 7?
0
-2100 (base 3) to base 8
-77
What is -128 (base 12) in base 14?
-c8
What is -35 (base 12) in base 5?
-131
Convert 6 (base 12) to base 6.
10
100 (base 2) to base 7
4
-37 (base 9) to base 13
-28
What is -1 (base 2) in base 7?
-1
-1 (base 10) to base 6
-1
-d (base 16) to base 9
-14
What is 40 (base 6) in base 13?
1b
What is -1 (base 2) in base 6?
-1
What is 3 (base 10) in base 16?
3
0 (base 9) to base 6
0
What is -12e (base 16) in base 2?
-100101110
Convert -1 (base 7) to base 12.
-1
Convert 10 (base 4) to base 15.
4
-12 (base 12) to base 3
-112
Convert 3 (base 16) to base 12.
3
-13 (base 9) to base 12
-10
What is 165 (base 11) in base 15?
cc
Convert 0 (base 14) to base 10.
0
Convert -22 (base 9) to base 6.
-32
Convert 79 (base 12) to base 11.
85
0 (base 16) to base 7
0
What is 2 (base 13) in base 8?
2
Convert 7 (base 11) to base 16.
7
Convert 100 (base 2) to base 7.
4
3 (base 7) to base 16
3
Convert 1140 (base 5) to base 12.
122
0 (base 3) to base 9
0
What is 55 (base 9) in base 8?
62
11 (base 14) to base 4
33
Convert 242 (base 5) to base 2.
1001000
Convert -2 (base 8) to base 12.
-2
What is 3 (base 8) in base 14?
3
-14 (base 16) to base 12
-18
-3 (base 8) to base 11
-3
Convert -5 (base 12) to base 15.
-5
What is -57 (base 15) in base 8?
-122
Convert 1221 (base 3) to base 14.
3a
What is -1 (base 8) in base 16?
-1
What is 10000 (base 2) in base 12?
14
Convert -13 (base 8) to base 10.
-11
Convert -101 (base 3) to base 6.
-14
What is -4 (base 13) in base 11?
-4
What is 1 (base 2) in base 12?
1
What is 3 (base 6) in base 14?
3
Convert -1a0 (base 13) to base 16.
-12b
Convert -5 (base 8) to base 14.
-5
What is 11 (base 2) in base 6?
3
-100 (base 2) to base 9
-4
Convert -2 (base 10) to base 13.
-2
What is -22 (base 8) in base 2?
-10010
What is 3 (base 13) in base 6?
3
Convert 101101 (base 3) to base 14.
160
What is 10 (base 13) in base 5?
23
Convert 1c1 (base 14) to base 13.
221
Convert 10 (base 5) to base 10.
5
1b (base 13) to base 14
1a
52 (base 6) to base 11
2a
What is -e (base 15) in base 7?
-20
Convert -11000111 (base 2) to base 12.
-147
Convert 0 (base 11) to base 14.
0
What is -7 (base 11) in base 7?
-10
Convert -3 (base 12) to base 4.
-3
What is -241 (base 9) in base 7?
-403
21 (base 6) to base 11
12
What is 18 (base 11) in base 4?
103
Convert 3 (base 11) to base 16.
3
What is 1110001 (base 2) in base 11?
a3
-23 (base 13) to base 4
-131
What is -1 (base 5) in base 2?
-1
Convert -110 (base 5) to base 14.
-22
What is 110 (base 2) in base 10?
6
What is -2 (base 3) in base 5?
-2
-3 (base 15) to base 14
-3
Convert -3 (base 11) to base 14.
-3
What is -2 (base 9) in base 6?
-2
1 (base 10) to base 5
1
Convert 3 (base 10) to base 4.
3
What is 10d (base 15) in base 14?
130
Convert 1 (base 2) to base 3.
1
What is -17 (base 15) in base 16?
-16
0 (base 2) to base 9
0
What is 1d (base 16) in base 13?
23
What is -2 (base 9) in base 5?
-2
Convert -4 (base 9) to base 5.
-4
Convert -148 (base 11) to base 8.
-255
Convert -211 (base 7) to base 11.
-97
Convert 7 (base 13) to base 9.
7
120 (base 7) to base 16
3f
What is -29 (base 12) in base 13?
-27
16 (base 12) to base 14
14
What is 24b (base 13) in base 5?
3101
-a6 (base 11) to base 14
-84
What is -106 (base 14) in base 15?
-d7
Convert -304 (base 11) to base 12.
-267
Convert -4 (base 7) to base 11.
-4
Convert -1b7 (base 13) to base 2.
-100111111
Convert -11 (base 3) to base 8.
-4
-300 (base 4) to base 9
-53
Convert -2 (base 7) to base 16.
-2
-a (base 13) to base 6
-14
Convert 2 (base 3) to base 2.
10
What is 2 (base 6) in base 15?
2
What is -86 (base 12) in base 13?
-7b
15a (base 12) to base 8
326
203 (base 9) to base 5
1130
Convert -3 (base 7) to base 16.
-3
What is 266 (base 7) in base 16?
92
-144 (base 9) to base 2
-1111001
Convert 11 (base 10) to base 4.
23
What is 10020 (base 3) in base 5?
322
What is -4 (base 9) in base 4?
-10
Convert -146 (base 7) to base 6.
-215
Convert 1 (base 12) to base 9.
1
Convert 101 (base 2) to base 3.
12
What is 303 (base 7) in base 11?
127
-12 (base 12) to base 3
-112
Convert -5 (base 9) to base 14.
-5
-2122 (base 3) to base 13
-56
-2 (base 12) to base 3
-2
231 (base 7) to base 5
440
-1c (base 14) to base 8
-32
Convert -12 (base 5) to base 2.
-111
-a (base 13) to base 14
-a
2 (base 4) to base 13
2
Convert 23 (base 7) to base 5.
32
What is -73 (base 11) in base 4?
-1100
What is -223 (base 6) in base 11?
-7a
What is 4 (base 15) in base 3?
11
What is 33 (base 7) in base 3?
220
Convert 63 (base 10) to base 16.
3f
Convert 301 (base 5) to base 15.
51
1111111 (base 2) to base 16
7f
What is -14 (base 12) in base 16?
-10
What is 11 (base 5) in base 8?
6
What is 100 (base 2) in base 3?
11
What is -20 (base 12) in base 10?
-24
What is -45 (base 13) in base 12?
-49
Convert -235 (base 10) to base 12.
-177
Convert -100110 (base 2) to base 15.
-28
-431 (base 9) to base 7
-1012
What is -11020 (base 4) in base 2?
-101001000
Convert -111 (base 4) to base 8.
-25
What is 11011 (base 3) in base 11?
a2
-1 (base 3) to base 9
-1
-202 (base 3) to base 8
-24
What is 52 (base 10) in base 16?
34
20 (base 3) to base 15
6
-3 (base 16) to base 6
-3
5 (base 7) to base 3
12
-b7 (base 13) to base 15
-a0
What is 2 (base 9) in base 2?
10
Convert -3 (base 10) to base 4.
-3
Convert 60 (base 10) to base 11.
55
1ac (base 14) to base 16
15c
Convert 198 (base 11) to base 15.
103
Convert 4 (base 10) to base 4.
10
What is a (base 14) in base 9?
11
Convert 11a (base 11) to base 5.
1032
40 (base 16) to base 13
4c
What is 7 (base 9) in base 5?
12
What is 10101 (base 2) in base 10?
21
Convert -111 (base 3) to base 11.
-12
Convert -19 (base 16) to base 7.
-34
Convert 11 (base 2) to base 5.
3
-11 (base 12) to base 2
-1101
-132 (base 8) to base 6
-230
Convert 219 (base 10) to base 8.
333
-27 (base 11) to base 8
-35
-1 (base 16) to base 14
-1
Convert 1100 (base 2) to base 14.
c
What is 8 (base 16) in base 12?
8
What is -53 (base 12) in base 8?
-77
What is -21 (base 10) in base 14?
-17
Convert -1 (base 15) to base 5.
-1
Convert 42 (base 10) to base 13.
33
1 (base 5) to base 15
1
Convert e8 (base 16) to base 9.
277
Convert 133 (base 6) to base 4.
321
Convert -1322 (base 4) to base 15.
-82
-10 (base 2) to base 13
-2
31 (base 4) to base 14
d
Convert 3 (base 10) to base 4.
3
Convert -4 (base 10) to base 8.
-4
Convert 111 (base 2) to base 4.
13
Convert -2 (base 5) to base 2.
-10
Convert 433 (base 7) to base 8.
334
Convert 1012 (base 3) to base 10.
32
Convert 30 (base 6) to base 3.
200
25 (base 9) to base 6
35
-32 (base 9) to base 12
-25
0 (base 10) to base 13
0
-10 (base 2) to base 5
-2
Convert -11 (base 2) to base 5.
-3
What is 8a (base 11) in base 3?
10122
Convert 21 (base 10) to base 6.
33
-3 (base 13) to base 5
-3
15 (base 10) to base 12
13
-4 (base 7) to base 14
-4
What is -80 (base 15) in base 10?
-120
144 (base 7) to base 15
56
Convert -4b (base 14) to base 8.
-103
3 (base 6) to base 12
3
42 (base 9) to base 4
212
Convert -11 (base 9) to base 10.
-10
What is 4 (base 8) in base 5?
4
Convert -15 (base 12) to base 9.
-18
What is -10 (base 12) in base 9?
-13
Convert 202 (base 9) to base 12.
118
Convert -10213 (base 4) to base 6.
-1211
What is 0 (base 9) in base 14?
0
What is 110 (base 6) in base 12?
36
-353 (base 6) to base 10
-141
-6 (base 9) to base 16
-6
-424 (base 5) to base 15
-79
Convert -d5 (base 14) to base 16.
-bb
What is 4 (base 16) in base 9?
4
What is 2011 (base 3) in base 6?
134
What is c (base 15) in base 2?
1100
Convert 42 (base 10) to base 14.
30
Convert 112 (base 4) to base 8.
26
What is 13 (base 8) in base 16?
b
Convert -1 (base 14) to base 9.
-1
1003 (base 5) to base 12
a8
What is 11 (base 2) in base 13?
3
What is 2221 (base 3) in base 15?
54
What is -55 (base 9)
|
{
"pile_set_name": "DM Mathematics"
}
|
v(r) = 33*r - 42. Let b(x) = -6*c(x) - 13*v(x). What is h(b(j))?
117*j
Let z(d) be the third derivative of 13*d**5/60 + 131*d**2. Let t(s) = s - 2. Let q be t(4). Let a(v) = q - 2*v - 2. Determine a(z(w)).
-26*w**2
Let t(z) be the second derivative of -5*z**3/2 - 15*z. Let s(c) = -4*c. Let u(v) = -22*s(v) + 6*t(v). Let x(m) = -16*m. Calculate x(u(o)).
32*o
Let j(y) be the third derivative of 0*y + 1/3*y**4 + y**2 + 0 - 1/2*y**3. Let v(q) = -1. Let c(f) = -j(f) + 3*v(f). Let b(t) = -t**2. What is b(c(u))?
-64*u**2
Let g = 9 + -8. Let c(f) = 24*f**2 - 1. Let p be c(g). Let y(x) = -3*x**2 + 23 - p. Let d(o) = 3*o. What is d(y(m))?
-9*m**2
Let g(m) = -4*m**2. Let a(d) = 38*d**2 + 7*d - 7. Let t(k) = -15*k**2 - 3*k + 3. Let z(c) = -3*a(c) - 7*t(c). Give z(g(j)).
-144*j**4
Let j(v) = -v. Let a(l) = -12*l + 83*l + 24*l - l**2 + 23*l. Calculate a(j(h)).
-h**2 - 118*h
Let s(f) = 15041*f**2 - f. Let h(r) = -r. Calculate h(s(v)).
-15041*v**2 + v
Let g(t) = t. Let b(a) = 6*a. Let n(c) = -b(c) + 3*g(c). Let x be (-35)/(-11) + (-4)/22. Let h(m) = x*m + 3*m - 3*m. Calculate n(h(r)).
-9*r
Let q(n) = 312*n. Let j(p) = -54*p - 21. Calculate j(q(h)).
-16848*h - 21
Let z be -1 - 7/(-1) - 6. Let c(y) be the third derivative of 0*y + z*y**3 + 0 - 7*y**2 + 7/15*y**5 + 0*y**4. Let g(v) = 2*v**2. Determine g(c(m)).
1568*m**4
Let z(l) = -22*l**2. Let c(y) = -1401*y**2 - 2. Give c(z(a)).
-678084*a**4 - 2
Let r(x) = -1865*x**2. Let l(u) = 79*u**2. What is l(r(t))?
274779775*t**4
Let r(w) = 11*w + 7*w - 7*w - 10*w. Let v(a) be the second derivative of -4*a**4/3 + 2*a. Give r(v(q)).
-16*q**2
Let o(p) = 22*p**2. Let v(s) be the first derivative of 11*s**3 - 432. Calculate v(o(j)).
15972*j**4
Let v(h) = -5*h. Let g(d) = d + 4*d - 17*d. Calculate g(v(w)).
60*w
Let a(o) = -2*o**2. Let s(n) be the second derivative of -n**7/630 + n**4/6 - 17*n**2/2 - 4*n + 1. Let i(u) be the third derivative of s(u). What is i(a(r))?
-16*r**4
Suppose -10608 = -5*a + 4787. Let o(p) = 3079 + 9*p**2 - a. Let k(s) = -2*s + 4. Let n(i) = -2*i + 3. Let m(j) = 3*k(j) - 4*n(j). Determine m(o(d)).
18*d**2
Let s(d) = 6*d**2 - 11*d. Let n(i) = i**2 - 2*i. Let z(y) = -11*n(y) + 2*s(y). Let f(u) be the second derivative of 2*u**3/3 - u. Calculate f(z(r)).
4*r**2
Let q(t) = -2*t. Let v(j) = 224*j - 61. Calculate q(v(x)).
-448*x + 122
Let r(n) = -52*n. Let x(y) = 3*y**2 + 2563. Calculate x(r(b)).
8112*b**2 + 2563
Let c(d) = 2*d**2 - 9. Let j(n) = -133*n**2 - 6. Determine j(c(f)).
-532*f**4 + 4788*f**2 - 10779
Let c(w) = 227*w**2 - 4. Let p(z) = -2*z**2 + 479 - 479. Determine p(c(s)).
-103058*s**4 + 3632*s**2 - 32
Let k(f) = 229*f**2 + f + 615. Let i(u) = -2*u. Determine k(i(c)).
916*c**2 - 2*c + 615
Let o(v) be the second derivative of v**3 - 5*v. Let a(d) be the second derivative of -d**4/4 + 2*d + 57. Give a(o(q)).
-108*q**2
Let n(y) = 29*y. Let t be (-1 - -12)/(12/12). Let m(l) = -8*l**2 - 2*l**2 + t*l**2. What is m(n(j))?
841*j**2
Let t(w) = 5*w. Let c(z) be the third derivative of -2*z**5/5 - 145*z**2. Determine t(c(n)).
-120*n**2
Let c(g) = -53*g**2 + 1. Let n(k) be the third derivative of k**5/60 - 2*k**2 - 89*k. Determine n(c(v)).
2809*v**4 - 106*v**2 + 1
Let r(h) be the first derivative of 13*h**6/120 - 20*h**3/3 + 22. Let s(x) be the third derivative of r(x). Let u(q) = 2*q. Determine s(u(y)).
156*y**2
Let g(q) = -51*q**2. Let k(f) = -32*f**2 - 25*f**2 + 61*f**2. Give g(k(t)).
-816*t**4
Let o(h) = -2*h. Let y = 2 + 11. Suppose 0 = 5*p + y + 7, 3*s + 2*p = 4. Let r(z) = -2*z - s + 4 + 11*z. What is o(r(u))?
-18*u
Let j(x) = -4*x**2. Suppose -4*i + 4 + 12 = 0. Let n(y) = 3*y**2 - 4. Let h(m) = -261*m + 261*m - 11 + 8*m**2. Let a(l) = i*h(l) - 11*n(l). Calculate a(j(q)).
-16*q**4
Let c(w) = 3*w**2. Let j(n) = 289509*n**2. Give c(j(u)).
251446383243*u**4
Let l(b) = 2*b**2 - 8576. Let n(a) = -2*a. What is n(l(z))?
-4*z**2 + 17152
Let j(a) = -2*a + 2. Let k(g) = 1013 - 4*g**2 - 2021 + 1008. What is k(j(l))?
-16*l**2 + 32*l - 16
Let k(x) be the first derivative of -5*x**2/2 + 7. Let n(u) = u**2 - 3*u**2 + u**2. Determine n(k(r)).
-25*r**2
Let c(m) = m**2. Let w be 2 + (4/(-1))/(-2). Suppose 0*a + w*a = 52. Let r(j) = a - 4*j**2 - 13. What is c(r(n))?
16*n**4
Let a(d) = -4*d**2 + 3 - 3 + 2*d**2. Let y(x) = -13*x**2. What is y(a(n))?
-52*n**4
Let r(n) = 6*n**2. Let m = -93 - -105. Let b(g) = -m*g + 3*g + 3*g + 2*g. Determine r(b(h)).
96*h**2
Let b(w) = -w. Let r(f) = -14*f**2 + 7*f + 33. Determine r(b(d)).
-14*d**2 - 7*d + 33
Let x(k) be the third derivative of -31*k**4/24 + 7*k**2. Let s(z) = 2*z**2 - 20. Let h(a) = a**2 - 8. Let t(d) = -5*h(d) + 2*s(d). Give x(t(r)).
31*r**2
Let t be 10 + (-7 - -7) + -8. Let y(h) be the second derivative of -13*h + 1/3*h**3 + 0*h**t + 0. Let b(n) = -2*n**2. Give y(b(g)).
-4*g**2
Let b(i) = -6*i**2. Let c(z) be the first derivative of 5*z**2 + 41. What is b(c(m))?
-600*m**2
Let l(y) = -2*y. Let h(c) = -c**2 + c + 1. Let k(q) = -4*q**2 + 6*q + 1. Let b(t) = -6*h(t) + k(t). Calculate b(l(n)).
8*n**2 - 5
Let m(b) be the third derivative of b**4/24 + 13*b**2 + 4. Let l(y) = -480*y**2. What is l(m(w))?
-480*w**2
Let x(m) = 3*m. Let o(p) = 4*p + 8*p + 6*p + 3*p. Let j(l) = -4*o(l) + 27*x(l). Let i(w) = 2*w**2. Determine i(j(y)).
18*y**2
Let r(s) be the third derivative of -s**4/8 - 198*s**2 + s. Let p(l) = 103*l**2. Calculate p(r(j)).
927*j**2
Let n(f) = -12*f - 12*f + 5*f + 9*f. Let l(r) = 25*r. What is l(n(p))?
-250*p
Let s(o) = -2*o. Let u(f) be the second derivative of -625*f**3/6 - 12*f + 1. What is u(s(m))?
1250*m
Let o(k) = 28*k**2 - 3 + 49*k**2 + 3 - 10*k**2. Let p(d) = 10*d. Calculate p(o(q)).
670*q**2
Let c(t) = -71*t**2 - t - 15. Let u(o) = 6*o. Give u(c(w)).
-426*w**2 - 6*w - 90
Let c(h) = h**2. Let v(r) = -27*r + 6989. Calculate v(c(q)).
-27*q**2 + 6989
Let u(v) = v. Let y(i) be the first derivative of -19*i**3 + i**2/2 - 296. Determine u(y(h)).
-57*h**2 + h
Let z(q) = -7313*q**2. Let k(n) = -9*n**2. What is z(k(o))?
-592353*o**4
Let x(u) = u**2. Let p(g) = 5*g - 22681. Calculate p(x(n)).
5*n**2 - 22681
Let x(r) = -9*r. Let t(s) = -989*s - 5. Give x(t(c)).
8901*c + 45
Let l(t) = 13*t. Let u(j) = 3 + 4*j**2 - 6 + 13 - 10. Give l(u(b)).
52*b**2
Let b(p) = 17*p. Let m(y) be the second derivative of -2*y**3/3 + 45*y - 2. Give m(b(i)).
-68*i
Let o(p) = 6*p**2. Let l(q) = -1519*q + 1. Give l(o(i)).
-9114*i**2 + 1
Let k(w) = -2*w. Let z(c) = -4496643*c. What is z(k(l))?
8993286*l
Let n(q) = 2 + 154*q**2 - 172*q**2 - 2. Let p(j) = -3*j**2 - 17*j. Let l(g) = -g**2 - 6*g. Let o(k) = 17*l(k) - 6*p(k). Calculate o(n(s)).
324*s**4
Let d(u) = -2942*u. Let z(w) = -w**2. What is d(z(r))?
2942*r**2
Let b(l) = -29*l - 3. Let a(w) = -7*w + 61. Give a(b(i)).
203*i + 82
Let a(g) = 3*g**2. Let l(r) = -2258667*r**2. Determine a(l(u)).
15304729850667*u**4
Let x(q) = 151*q**2 + 149*q**2 - 297*q**2. Let h(n) = 111*n**2. Calculate x(h(i)).
36963*i**4
Let n = -35 + 38. Let b(h) = -n*h + 4*h + h - 4*h. Let z(y) = 13*y**2. Calculate b(z(d)).
-26*d**2
Let t(g) = -2*g + 74. Let k(x) be the second derivative of -x**4/6 + 119*x. What is t(k(l))?
4*l**2 + 74
Let w be 2587/1592 - (-6)/16. Let m(d) be the first derivative of 0*d - 1/2*d**w + 10. Let y(t) = -13*t. What is y(m(v))?
13*v
Let p(g) be the first derivative of g**2 - 13 - 44*g + 44*g. Let u(o) = -14*o. What is u(p(v))?
-28*v
Let h(q) = q**2. Let r(l) = -3*l - 1557. Determine h(r(m)).
9*m**2 + 9342*m + 2424249
Let a(p) = -271*p + 75. Let c(f) = 7*f**2. What is a(c(r))?
-1897*r**2 + 75
Let p(f) = -f**2. Let i = 123 - 737/6. Let k(j) be the third derivative of 0*j + 0 + i*j**4 + 3*j**2 + 0*j**3. What is p(k(n))?
-16*n**2
Let b(r) = -2*r**2. Let s(t) = -7*t**2 - 3*t + 5. Calculate s(b(f)).
-28*f**4 + 6*f**2 + 5
Let r(d) = 12*d**2. Let u(g) be the second derivative of 0 - 27*g + 0*g**2 - 1/6*g**3. Give r(u(b)).
12*b**2
Suppose 3*s - 2*i - 1 = 93, 0 = 3*i + 15. Let u(n) = -s*n - 183 + 183. Let a(g) = 2*g**2. Calculate u(a(z)).
-56*z**2
Let s be (18/2)/(9/21). Let v(c) = -16*c - s*c + 34*c. Let t(q) = 2*q. Give t(v(r)).
-6*r
Let h(n) = -10*n. Let t be ((-1)/12)/(-1)*1. Let a(p) be the second derivative of 0*p**2 + 0 + 0*p**3 - 4*p - t*p**4. Calculate a(h(y)).
-100*y**2
Let s(b) = b**2. Let r(d) = 25*d - 12. Let u(k) = k - 2. Let a(v) = -r(v) +
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 13*t - 1. Let z be h(-3). Let n = z - -392. Let f = n - -652. Is f a composite number?
False
Let x(a) = -13*a - 39. Let z(c) = -c**2 + 2*c + 93. Let w be z(-9). Is x(w) composite?
True
Suppose r - 3*r = -10. Suppose -2052 = 4*m - 5*h - 15887, -2*m - h = -6935. Suppose r*f = m + 930. Is f a prime number?
False
Let r(m) = m**3 + 19*m**2 - 36*m + 49. Let s be r(-21). Let d = 1438 + s. Is d prime?
True
Suppose -5*g - 15 = -10*g. Suppose -b + 2052 = -h - 4*h, -4*h - 6211 = -g*b. Suppose o - 691 = n, -3*o = -0*o - 5*n - b. Is o composite?
True
Suppose -3026 = -2*n - c, 4*c + 667 = 5*n - 6898. Let p = n + 642. Is p a prime number?
False
Let n(u) = -u**3 - u**2 + 13*u. Let i be n(-4). Is 1/i + (-1704)/(-32) prime?
True
Let q = -34 + 126. Let w = -87 + q. Suppose 1635 = w*p - 9360. Is p a composite number?
True
Suppose 2*w = -56*w - 16*w + 8767372. Is w a prime number?
False
Suppose -2*f + 8 = 0, -4*f - 128 = -2*p - 2*p. Suppose p = t + 28. Let b(m) = 456*m - 5. Is b(t) prime?
True
Let j = 56035 - 17352. Is j prime?
False
Is 288/(-72)*((-92)/8)/((-2)/(-73)) a composite number?
True
Suppose 0 = 3*y + 4*r - 35, -y + 2*r + 7 = 12. Suppose 3*n + 65611 = 5*m, 13706 = 3*m - y*n - 25667. Is m prime?
True
Let o be 42/10 + 2/(-10). Suppose 2*t = u + 7, 4*u + 20 = -0*t + o*t. Is 804/(-8)*((-40)/6 + t) prime?
False
Let m(y) = y**3 + 14*y**2 - 9*y - 63. Suppose 0 = 18*s - 6*s + 96. Is m(s) a composite number?
True
Let k(r) = -679*r + 170. Let s(n) = -227*n + 57. Let z(i) = -6*k(i) + 17*s(i). Is z(4) prime?
True
Let x be 5 + (-20 - 369)*(-2 + 1). Let k = -87 + x. Is k composite?
False
Let f(q) = 691*q**3 + 8*q**2 - 24*q + 139. Is f(6) prime?
False
Let y(r) = 10*r**2 + 26*r + 2. Let c be y(-2). Is (13615/25 - 9) + 6/c a prime number?
False
Let q be 3/((-1)/((-8)/3)). Let g(m) = 41*m + 28. Let a be g(q). Suppose -57 = h - a. Is h composite?
True
Suppose 274*f - 108 = 272*f. Is (774171/f)/(2/4) a prime number?
False
Let t(v) = 315*v - 5. Let b(q) = 3*q - 8*q + 6*q. Let c(x) = -3*b(x) + t(x). Is c(1) a prime number?
True
Suppose -49*l = -43*l - 10752. Suppose b - 2391 = l. Is (-2)/1 + -5 + 1 + b composite?
False
Suppose -3*f + 4*k - 36 = 0, 0 = f - 5*k + 15 + 8. Let i be (-2581 - 2)*f/12. Suppose -y - 4*n = 349 - i, 0 = 4*y + 3*n - 5453. Is y prime?
True
Let h be 49 + -55 - 1*2*-1. Let g(y) = -5*y**2 + 5*y**2 + 15 - 15*y**3 + 3*y - 4*y**2 - 4. Is g(h) prime?
False
Suppose 0 = 2*j - 6, -2*j + 2 = -s - 0*s. Is 835 - ((s - 3) + 5) a composite number?
False
Let o(x) = 2*x**3 + 4*x**2 - x. Let g be o(3). Suppose 2*d = w + 484, -5*w = d - 259 + 6. Suppose 10*n - g = d. Is n prime?
False
Let a(n) = 266*n**2 - 5*n. Let q be (-1 - (-5 + 4)) + 4. Let u be a(q). Suppose 4*j - u = -4*v, 0 = -j + 6*j - v - 5271. Is j composite?
True
Let a = -59 + 113. Suppose -25 = -5*u - 10, 2*f - 4*u = -a. Let c = 68 + f. Is c composite?
False
Let p(u) = -2*u**3 + u**2 + u + 82. Let g(x) = -3*x**3 + x**2 + x + 82. Let o(v) = -3*g(v) + 4*p(v). Let f be 84/294 + (-10)/(-14) - 1. Is o(f) a prime number?
False
Suppose -20*h = 67 + 33. Is (20317/55)/((-1)/h) a composite number?
False
Let g = 548 - 544. Suppose 4*r + k - 335 = 5409, -g*r + k + 5752 = 0. Is r composite?
True
Let h = -11 - -12. Let s be ((-1)/2 + h)/((-1)/(-5854)). Suppose -2352 = -0*f - 4*f + b, -s = -5*f - 2*b. Is f a composite number?
False
Suppose -375926526 - 572871231 = -608*m - 148270301. Is m prime?
True
Let z = -31 - -32. Let l(t) = -6*t + 1. Let p be l(z). Is 4569/15 + (-2)/p composite?
True
Let u(g) = 14650*g**2 + 199*g - 8. Is u(-10) a prime number?
False
Suppose -18*f = -9*f. Let d be (197 + 0)/(f - 1). Let o = -34 - d. Is o a composite number?
False
Let k = -399 - 4171. Suppose 5 + 10 = -q. Is ((-3)/(-2))/(q/k) composite?
False
Let r be (-8)/12*-3 - -2. Suppose -7*q = -4*q - r*v - 23, 2*q + 4*v = 2. Suppose -q*x = -3*x - 662. Is x a composite number?
False
Suppose 66*i - 81*i = -34*i + 6394849. Is i a composite number?
False
Let n = 31238 - -18495. Is n a composite number?
True
Suppose -7*m + 36307 + 66292 = 0. Suppose -f = -5, 5*w - 3*f - 23883 = m. Is w prime?
False
Suppose 49*k + 155276 = 52*k - 5*o, k - 5*o - 51742 = 0. Is k composite?
False
Suppose 0 = u + 57*a - 54*a - 124468, -5*u + 5*a = -622280. Is u prime?
True
Let p = -343 - -440. Suppose -p*n = -94*n - 8241. Is n a composite number?
True
Let x = -98 - -75. Let n = x - -27. Suppose n*v - 1017 = -3*m, -m + 3*v - 2*v = -332. Is m prime?
False
Suppose 0 = 35*g - 253 - 272. Suppose i = g*i - 88802. Is i a composite number?
False
Suppose 34*h + 2586 = 35*h. Let k = h + -1201. Is k a composite number?
True
Suppose -14 = 4*g - 30. Suppose -g*q + 5*v = -45, q + 0*v - 3*v - 13 = 0. Let z(r) = 52*r - 1. Is z(q) composite?
True
Let i = 116696 + -70753. Is i a prime number?
True
Let w = -6150 + 3527. Let a = 8520 + w. Is a a composite number?
False
Let a(b) = 23126*b - 7197. Is a(23) composite?
False
Suppose 45*o + 166304 = 13*o. Let k = o - -12310. Is k a composite number?
True
Suppose 21*r - 5*l - 369820 = 16*r, 5*l + 221882 = 3*r. Is r a prime number?
False
Let l(t) = -3*t**3 - 3*t**2 - 6*t - 4. Let p be l(-3). Let u be p/85*(-5)/(-2). Suppose u*h - 212 = 2334. Is h a composite number?
True
Let y(i) be the first derivative of i**2 + 21*i + 9. Let p be y(-11). Is (5028/60)/(p/(-5)) a composite number?
False
Suppose -h = -3*o - 3, -7 = -h + 8*o - 9*o. Let d(y) be the second derivative of 16*y**3/3 + 11*y**2/2 - 2*y. Is d(h) prime?
False
Let l(s) = s**3 + s**2 - 8*s + 4. Let n be l(-4). Let h(i) = 5*i**2 + 4*i + 17. Let b be h(n). Let v = 4482 - b. Is v a prime number?
True
Let q = 1460 + -1452. Let a(c) = 300*c + 8. Let v(y) = y + 1. Let m(t) = a(t) + 10*v(t). Is m(q) composite?
True
Suppose 0 = -6*i - 15*i + 2*i + 2672141. Is i a composite number?
False
Let c(v) = v**2 + 4*v - 3. Let i be c(-6). Suppose 2*a - 88 = -4*h, 2*h = 5*a + i + 11. Suppose -8*t - 8076 = -h*t. Is t composite?
False
Let t = 1409 + -1395. Let r(s) = -816*s - 130. Let v(c) = -272*c - 43. Let w(o) = 2*r(o) - 7*v(o). Is w(t) a prime number?
False
Suppose -4*i + 3*a - 25 = 0, -5*i = 2*a + 365 - 328. Let u = -1 - 0. Is u/7 - 1646/i composite?
True
Let c(b) = 9*b**3 - 330*b**2 - 53*b + 393. Is c(46) a prime number?
True
Suppose -16184 = 6*d + d. Let l = d - -460. Let v = -1199 - l. Is v composite?
False
Suppose 4*o = -4*g + 12356, 4*g + 8293 = 2*o + 2091. Let x = -1300 + o. Is x a composite number?
True
Let l = 378300 + -258755. Is l a composite number?
True
Let s = 16281 + 193486. Is s a prime number?
True
Let h(w) = -25220*w + 465. Is h(-4) a prime number?
False
Let l(b) = 18697*b - 1032. Is l(7) prime?
False
Suppose 14*h - 21 = 7*h. Suppose -r + i = -1, h = -r + 2*i + 2. Suppose -2*k + 2003 = k + 5*d, -4*d = -r*k + 2021. Is k a composite number?
True
Let d = 9 + -7. Suppose 11352 = d*u - 5528. Is u/60*(-3)/(-2) composite?
False
Let u(r) = 2*r**2 - 7*r + 3. Let y be u(-2). Is (-1 - y/(-30)) + (-17590)/(-60) a prime number?
True
Is (-295216)/(-3) - 85/(-51) prime?
True
Let m(l) = -36*l - 91. Let d be m(25). Let c = 9000 + d. Is c prime?
True
Let m = 187 - 67. Let c = m + -66. Let v = 181 - c. Is v a composite number?
False
Suppose -66*z + 60*z + 627318 = 0. Suppose -6*p + z = 5*j - 10*p, -p + 3 = 0. Is j a prime number?
False
Let j be (-6)/(-5)*(-20)/(-8) - -12. Suppose -17*q + 3190 = -j*q. Let d = q - 1108. Is d a composite number?
False
Let i be (5 - -1 - 2) + -1. Suppose i*w + 1135 = 6214. Is w a prime number?
True
Let s(v) = -849*v - 28. Let g(h) = h**3 - 14*h**2 - 19. Let b be g(14). Let n be s(b). Suppose -9*z + 520 = -n. Is z composite?
False
Let w(f) = -154444*f**3 + 1. Let j be w(-1). Suppose -2*b + j = 3*b. Suppose 16*l = -2137 + b. Is l a composite number?
True
Let t be -7*1055/10*-2. Suppose -3*y - 4*k = -12179, 5*k - t - 14761 = -4*y. Is y prime?
True
Is ((-711151)/(-1064))/((-2)/(-1328)) a prime number?
False
Suppose 9*o - 78 = 7*o. Suppose 33*l = o*l + 2076. Let s = l + 509. Is s a composite number?
False
Let y be 2 - 1 - (-5 + -1 + 4). Let c(l) = -l + 1. Let f(u) = 126*u**2 - 2*u + 13. Let d(w) = c(w) + f(w). Is d(y) prime?
False
Suppose g - 1736 = -t, t + 5*g + 0*g = 1736. Suppose 2*m - t = 4*q, -2*q - 2672 = -5*m + 1660. Is m a prime number?
False
Let l(q) = 122*q - 27. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
g.
1/5
Three letters picked without replacement from yyyyyfyyyfyeyyyiiyy. What is prob of picking 2 y and 1 e?
91/969
Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {x: 1, t: 3, z: 4, y: 1, b: 4, i: 1}.
12/91
Calculate prob of picking 3 l when three letters picked without replacement from {l: 9}.
1
Three letters picked without replacement from {q: 4, n: 3, a: 7, t: 2, o: 2}. Give prob of picking 2 q and 1 t.
1/68
What is prob of picking 2 u, 1 l, and 1 j when four letters picked without replacement from xululujulxlju?
16/143
Calculate prob of picking 2 r, 1 w, and 1 j when four letters picked without replacement from {h: 2, f: 2, r: 2, w: 1, j: 1}.
1/70
Two letters picked without replacement from {h: 3, e: 9}. Give prob of picking 2 h.
1/22
Calculate prob of picking 2 k and 1 t when three letters picked without replacement from {k: 7, g: 3, b: 3, t: 2, d: 5}.
7/190
What is prob of picking 3 s when three letters picked without replacement from {s: 12, b: 1, r: 1}?
55/91
Three letters picked without replacement from {y: 5, g: 9}. What is prob of picking 2 g and 1 y?
45/91
What is prob of picking 2 w, 1 y, and 1 x when four letters picked without replacement from wwwyywywdxwwww?
108/1001
Two letters picked without replacement from rirlrzzrrfzf. Give prob of picking 1 f and 1 i.
1/33
Calculate prob of picking 1 d, 1 p, and 1 m when three letters picked without replacement from qrdmrdrrupqrppqdp.
3/170
Two letters picked without replacement from mpeuk. What is prob of picking 1 e and 1 k?
1/10
What is prob of picking 3 u and 1 d when four letters picked without replacement from {u: 11, d: 9}?
99/323
Two letters picked without replacement from ooooooohoooooooooo. Give prob of picking 2 o.
8/9
Four letters picked without replacement from {q: 1, h: 2, z: 3, g: 1}. Give prob of picking 1 q, 1 h, and 2 g.
0
Three letters picked without replacement from {q: 1, v: 1, p: 1, o: 1, y: 2, l: 2}. What is prob of picking 1 y, 1 o, and 1 p?
1/28
What is prob of picking 1 x and 1 k when two letters picked without replacement from {y: 1, x: 1, o: 1, k: 2, e: 1, r: 1}?
2/21
Two letters picked without replacement from pfppfpppppp. Give prob of picking 1 f and 1 p.
18/55
Calculate prob of picking 1 l and 1 s when two letters picked without replacement from ssll.
2/3
What is prob of picking 1 z and 1 i when two letters picked without replacement from zzzzzzzzzzizz?
2/13
What is prob of picking 4 d when four letters picked without replacement from {y: 1, e: 5, d: 7}?
7/143
Four letters picked without replacement from {x: 7}. What is prob of picking 4 x?
1
Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {v: 1, c: 1, y: 2, s: 4, d: 3, e: 1}.
1/22
Two letters picked without replacement from bbbbbbobbbbbbbooboo. What is prob of picking 2 o?
10/171
Three letters picked without replacement from vlvkvlll. What is prob of picking 1 v and 2 l?
9/28
Calculate prob of picking 1 b, 1 r, and 1 m when three letters picked without replacement from {m: 1, q: 1, b: 1, d: 5, r: 2}.
1/60
Three letters picked without replacement from tttttttttttqtttttttt. What is prob of picking 3 t?
17/20
What is prob of picking 3 a and 1 x when four letters picked without replacement from wxxawwaaxaxwaxa?
20/273
Three letters picked without replacement from xtttwtvttttwxttw. What is prob of picking 1 w and 2 x?
3/560
Calculate prob of picking 1 n and 2 a when three letters picked without replacement from {n: 2, k: 1, a: 2}.
1/5
Calculate prob of picking 1 h and 2 v when three letters picked without replacement from {m: 1, k: 2, v: 3, h: 1}.
3/35
What is prob of picking 1 f and 1 i when two letters picked without replacement from {f: 2, z: 1, r: 1, t: 2, i: 1, h: 8}?
2/105
Two letters picked without replacement from {q: 2, k: 1, c: 4, v: 2}. Give prob of picking 2 v.
1/36
What is prob of picking 3 a and 1 u when four letters picked without replacement from uuauuuuauuuuuua?
4/455
What is prob of picking 1 b and 1 d when two letters picked without replacement from irribdiiidiirdsddrnr?
1/38
What is prob of picking 1 c and 1 p when two letters picked without replacement from {p: 2, c: 1, l: 1}?
1/3
Two letters picked without replacement from uuus. Give prob of picking 2 u.
1/2
What is prob of picking 3 e and 1 u when four letters picked without replacement from esyjeepeuppee?
4/143
Four letters picked without replacement from dxdxsdx. What is prob of picking 1 d and 3 x?
3/35
What is prob of picking 2 e when two letters picked without replacement from {h: 1, d: 3, e: 4}?
3/14
Calculate prob of picking 1 p and 1 v when two letters picked without replacement from pppvvvvpvvv.
28/55
Two letters picked without replacement from {c: 2, k: 4, l: 2, o: 2, h: 2}. Give prob of picking 1 o and 1 l.
2/33
Two letters picked without replacement from ofoffff. Give prob of picking 2 f.
10/21
Calculate prob of picking 1 o and 1 x when two letters picked without replacement from zxorrxggxorxrgxorz.
5/51
Two letters picked without replacement from {x: 1, m: 2, z: 1, o: 8, a: 3, j: 5}. What is prob of picking 1 x and 1 j?
1/38
What is prob of picking 2 d and 1 w when three letters picked without replacement from {d: 2, w: 2}?
1/2
Two letters picked without replacement from jssissssssajsjiscscs. Give prob of picking 1 s and 1 a.
6/95
What is prob of picking 4 a when four letters picked without replacement from yaauyauayaaauuyya?
1/34
Two letters picked without replacement from {p: 2, j: 2, k: 1, d: 1, t: 2, l: 1}. Give prob of picking 1 k and 1 t.
1/18
Calculate prob of picking 3 c and 1 n when four letters picked without replacement from cncnnnn.
0
Three letters picked without replacement from {d: 6}. Give prob of picking 3 d.
1
Two letters picked without replacement from zihzhxvl. Give prob of picking 1 z and 1 i.
1/14
What is prob of picking 1 p and 3 f when four letters picked without replacement from fppvpvvppfffp?
24/715
What is prob of picking 2 m when two letters picked without replacement from {y: 7, n: 3, q: 1, m: 5, t: 2}?
10/153
Four letters picked without replacement from xglsg. What is prob of picking 1 s, 2 g, and 1 l?
1/5
Calculate prob of picking 3 c and 1 l when four letters picked without replacement from {c: 7, l: 9}.
9/52
Four letters picked without replacement from wowzzsswcczzscwno. Give prob of picking 1 z, 1 n, 1 c, and 1 s.
9/595
What is prob of picking 1 y, 1 x, and 1 l when three letters picked without replacement from yxlyylyx?
2/7
Two letters picked without replacement from yuarryuyyauyayal. Give prob of picking 1 y and 1 r.
1/10
Three letters picked without replacement from tttkktktkkktkktkkktt. What is prob of picking 1 t and 2 k?
33/76
Calculate prob of picking 1 j and 1 g when two letters picked without replacement from {t: 2, w: 1, s: 2, j: 7, g: 1, x: 6}.
7/171
Calculate prob of picking 1 o and 1 s when two letters picked without replacement from qsqossqossqoosq.
8/35
Two letters picked without replacement from {n: 1, c: 1, d: 3}. Give prob of picking 1 n and 1 d.
3/10
Four letters picked without replacement from mkknnnhnkhnknkkkn. What is prob of picking 1 n, 2 k, and 1 h?
21/170
Three letters picked without replacement from {l: 2, u: 2, j: 1, y: 2, q: 1, g: 1}. What is prob of picking 1 u, 1 l, and 1 q?
1/21
Three letters picked without replacement from {z: 1, c: 2, a: 6, e: 3, q: 1}. Give prob of picking 2 c and 1 z.
1/286
Calculate prob of picking 1 c, 1 p, 1 t, and 1 l when four letters picked without replacement from cctpcccgpcltgppc.
2/65
Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, h: 9}.
1/55
Calculate prob of picking 2 r when two letters picked without replacement from {d: 1, r: 2}.
1/3
Four letters picked without replacement from ttbttbttttttt. What is prob of picking 1 b and 3 t?
6/13
Two letters picked without replacement from {r: 5, q: 5}. What is prob of picking 1 q and 1 r?
5/9
Four letters picked without replacement from wyvjhyyyaaaaayawv. What is prob of picking 2 v, 1 h, and 1 y?
1/476
Three letters picked without replacement from {i: 1, x: 2, o: 3, y: 1}. Give prob of picking 1 i, 1 x, and 1 o.
6/35
Two letters picked without replacement from jqc. Gi
|
{
"pile_set_name": "DM Mathematics"
}
|
(5 + (sqrt(130)/(1*(sqrt(10) + sqrt(30)/sqrt(3))))**2)*-3 - (0 + sqrt(65)/sqrt(80) + (sqrt(65)/(sqrt(35)/sqrt(7)))**2).
-151/4 - sqrt(13)/4
Simplify ((1*-1*sqrt(84) + sqrt(84))/(sqrt(256) + -1*sqrt(256) - sqrt(256)))/(4*sqrt(28) + sqrt(77)/sqrt(11)*-2).
0
Simplify ((-1*3*(sqrt(85) + -3*sqrt(85)))/(-2*(3*sqrt(45) - sqrt(45))) + 2)**2.
-2*sqrt(17) + 33/4
Simplify (sqrt(117)*-3 + 3 + 1 + sqrt(13))**2 - (6*(sqrt(78) - (2*sqrt(78) - sqrt(78) - sqrt(78) - sqrt(78) - sqrt(78))))/(2*2*sqrt(6)).
-137*sqrt(13)/2 + 848
Simplify 3*(5 + (2 + -1 + sqrt(272) + sqrt(272) + sqrt(272)*-3*4)**2) + -2.
-240*sqrt(17) + 81616
Simplify 2 + -2 + sqrt(63)/(sqrt(108)/(sqrt(192) + sqrt(12) - sqrt(12))) + 0 + -2*(-5 + -4*sqrt(28)/sqrt(4))**2.
-274 - 76*sqrt(7)
Simplify -1*((6*2*sqrt(50) + (-2*sqrt(450))/sqrt(9))/(sqrt(50)/(sqrt(10)/sqrt(2)) + sqrt(1440)*-1))**2 + 5.
105/121
Simplify (-6*5*(-2 + sqrt(153) + (4*(sqrt(153) + -3) - sqrt(153)) + sqrt(153) + -1 + 5))**2.
-270000*sqrt(17) + 3532500
Simplify (-5*sqrt(78)*-2 + (sqrt(78) + sqrt(78)*-2 + sqrt(78))*-1)/(sqrt(294) + -3*sqrt(294)*1 + sqrt(294) - -6*(sqrt(294) - -1*sqrt(294))).
10*sqrt(13)/77
Simplify (sqrt(90)/(3*sqrt(5)) + sqrt(18) + sqrt(162)/(sqrt(45)/sqrt(5)))/(2*sqrt(324)*-4*-3).
7*sqrt(2)/432
Simplify (sqrt(91)*-1*2*2)/(sqrt(14)/(sqrt(2) + 2*sqrt(2))*2).
-6*sqrt(13)
Simplify -2 + (6*(sqrt(66)*1 + sqrt(66))*-2)/(-5*sqrt(600)*-2).
-2 - 6*sqrt(11)/25
Simplify (sqrt(99)*2*1)**2*1 - (-1 + (sqrt(11)*-4 - sqrt(11)) - ((sqrt(11) + -1)*-6)**2).
-67*sqrt(11) + 829
Simplify (((-4*sqrt(400)*-1 - sqrt(400))/sqrt(8))/(sqrt(50)/((sqrt(200)/sqrt(4))/sqrt(10))))**2*-3.
-135
Simplify (-4*(-4 + -2*3*-2*sqrt(68)*-1))**2*-6.
-941568 - 18432*sqrt(17)
Simplify -2*(sqrt(700) + 1) + 5 + (-5*(sqrt(1008) + 0)**2 - (sqrt(63) + 0)*-2).
-5037 - 14*sqrt(7)
Simplify -4*(2 + -3 + 3*(sqrt(832)*1 + -3)*-6).
-212 + 576*sqrt(13)
Simplify ((sqrt(84)*-2*-3*4)/(sqrt(70)/(sqrt(90)/(sqrt(9) - sqrt(9)*3))))**2 + -4.
1724
Simplify (4*6*(sqrt(66) + sqrt(66)*3 - sqrt(66) - sqrt(66)))/(1*(sqrt(6) + (sqrt(294)*-2 - sqrt(294)))) + 0.
-12*sqrt(11)/5
Simplify ((sqrt(616) + (-5*sqrt(616) - sqrt(616)))/sqrt(11) - (sqrt(896) + sqrt(56))*-1)/((sqrt(128) - -1*sqrt(128))*5*-5).
0
Simplify 6*(5 + 1 + ((2*sqrt(320) - sqrt(320))*-6 - -5*(sqrt(320) - (1 + sqrt(320))))**2).
2880*sqrt(5) + 69306
Simplify (sqrt(18)/(-3*sqrt(3)) - (sqrt(6) + sqrt(6) + sqrt(600)*2))/((sqrt(1210)*-2)/(-1*(sqrt(5) - (sqrt(5) + sqrt(45))) - sqrt(5))).
67*sqrt(3)/33
Simplify (sqrt(6)/(-2*sqrt(243)) + 1 + (-5*(-2 + sqrt(162) + -2))**2)*6.
-32401*sqrt(2)/3 + 26706
Simplify -5 + ((sqrt(54)/sqrt(3)*-6)/(4*1*sqrt(9)) + -2)*-6.
7 + 9*sqrt(2)
Simplify ((5 + 2 + (-2 + sqrt(171) + (sqrt(171) + 0)*-1 + 5)*-4)*2)**2.
100
Simplify -5 + (((-1*sqrt(1300)*3 - sqrt(1300)) + (sqrt(1300) - 5*(sqrt(1300) + -2)))*-3)**2*-5 + -4.
-3748509 + 72000*sqrt(13)
Simplify 0 + 1*(2*sqrt(4)*6)/((sqrt(98)/sqrt(7))/sqrt(7) + sqrt(2))*-3.
-18*sqrt(2)
Simplify -2 + -4 + (-3*sqrt(120)*4)/((sqrt(810) + -2*sqrt(810))*-3).
-6 - 8*sqrt(3)/9
Simplify (sqrt(170)/sqrt(5)*-2*-3*-2)/(1*1*sqrt(1152) + sqrt(1152)).
-sqrt(17)/4
Simplify 3 + ((-5 + (sqrt(13) - (sqrt(13)*-2 + sqrt(13))))*5)**2 + (sqrt(637) + -3 + -3 - sqrt(637))**2 + -1.
-500*sqrt(13) + 1963
Simplify 2*4*(-4 + sqrt(19)*1 + sqrt(19) + sqrt(19) + (sqrt(76)/sqrt(2))/sqrt(2))**2 + (sqrt(171) - 6*(sqrt(171) - sqrt(171)*-3))/(sqrt(576)*2).
-4119*sqrt(19)/16 + 2560
Simplify (sqrt(91) - (-5*sqrt(91)*-1 + sqrt(91) - sqrt(91) - sqrt(91)) - -1*-1*sqrt(91))/(((sqrt(56) - sqrt(1400)*-1) + sqrt(56))/(sqrt(288)*2 - sqrt(288))).
-24*sqrt(13)/7
Simplify (-3 + (2 + (((sqrt(132) - 1*sqrt(132)) + sqrt(132))*-2)/sqrt(12) + 4 + (sqrt(396) - (-2 + sqrt(396))) + sqrt(396) + 5)**2)*1.
342 + 104*sqrt(11)
Simplify (-4 + 2*(sqrt(1700) + 0)**2*-1*5*-2)*-6.
-203976
Simplify 4 + ((sqrt(637) - (sqrt(637) - -2*sqrt(637)))*6 + 1*(0 + sqrt(637)) + (1*sqrt(637)*-5 - (sqrt(637) + 5 + (sqrt(637) - 2*sqrt(637)) + sqrt(637))))**2.
1190*sqrt(13) + 184122
Simplify -3*5*(-2 + ((sqrt(2299) + sqrt(2299)*-2 - sqrt(2299)) + sqrt(2299))*-1)*-4*4.
-480 + 2640*sqrt(19)
Simplify ((3*sqrt(117)*-2*5*2)/(-5*sqrt(144)*3 + sqrt(144) + (sqrt(144) - (sqrt(144)*-1 + sqrt(144) - sqrt(144))*4)))**2.
325/9
Simplify ((3*(sqrt(152) - 3*sqrt(152)*-2 - sqrt(152)))/(sqrt(8)*1*-6*2))**2 + 0.
171/4
Simplify 6*(4 + (sqrt(3) - (-1*sqrt(3) + sqrt(3))**2*1))*1 + (sqrt(75) - (sqrt(75) + 3))**2*-5 + ((1*sqrt(75))**2 + sqrt(75))*-6.
-471 - 24*sqrt(3)
Simplify -2*(2 + sqrt(6)/(4*sqrt(2)) + (sqrt(108)*1 - sqrt(3) - sqrt(3)) + 3) + 3.
-17*sqrt(3)/2 - 7
Simplify -4*3*(sqrt(3648) - ((sqrt(3648) - sqrt(3648)*-1)*3 + sqrt(3648)))/(((sqrt(231)*-2)/sqrt(7))/sqrt(11)).
-288*sqrt(19)
Simplify (-5 + 2*(-4 + (sqrt(2) - sqrt(2)*-1))*-1 + 4*1*sqrt(2)*-4*1*-1)**2.
72*sqrt(2) + 297
Simplify (((sqrt(18) + -1)*-3 - sqrt(450)*3) + sqrt(90)/(sqrt(25)/sqrt(5)) + (sqrt(18) - sqrt(198)/(sqrt(275) + sqrt(11))) + sqrt(18) + 5)**2.
-728*sqrt(2) + 8409/2
Simplify ((-3 + sqrt(1053) + sqrt(1053) + 0)*6 - (3*(sqrt(1053)*-1 + 1 + sqrt(1053)))**2)*-6.
-648*sqrt(13) + 162
Simplify ((sqrt(96) + sqrt(96) + sqrt(96) + -2*sqrt(96)*-2)*-4)/((sqrt(825) - sqrt(33))/sqrt(11) + (4*(sqrt(3) - sqrt(12)) - sqrt(3))).
112*sqrt(2)
Simplify (3*(-1*sqrt(600))/(sqrt(8) - (sqrt(800) + sqrt(800)*-3 - sqrt(800) - sqrt(800))) + 5)**2*-5.
-213500/1681 + 750*sqrt(3)/41
Simplify -6*(sqrt(324)/((-1*sqrt(96) + sqrt(96))/sqrt(8) + sqrt(12)) + 4 + (-1*(sqrt(2187) + sqrt(2187)*-2) + 5)**2).
-13296 - 1638*sqrt(3)
Simplify (sqrt(14)/sqrt(7) + sqrt(2) + 0 - sqrt(2) - (-2 + sqrt(242)))**2 - ((sqrt(12) - 5*sqrt(48))/(-1*(sqrt(54) - sqrt(6))))**2.
-40*sqrt(2) + 327/2
Simplify (sqrt(720)*2)**2*-3 + sqrt(720) + 2 + 2 + (sqrt(25) + (sqrt(25) - ((sqrt(25) - -2*sqrt(1225)) + sqrt(25))))/(sqrt(50)/sqrt(90))*-4.
-8636 + 180*sqrt(5)
Simplify (((0 + sqrt(162))*1 + -3*1*sqrt(162) + 1 + -2 + sqrt(162) + 3)*-6 + 5)**2.
-756*sqrt(2) + 5881
Simplify 3*(2 + -3*((0 + sqrt(1216) + 1 - sqrt(1216)) + sqrt(1216) + (sqrt(1216) - ((-1 + sqrt(1216))**2*-5 - sqrt(1216))))*-1).
-504*sqrt(19) + 54780
Simplify -5 + (((1 + sqrt(700) + -5 - (0 + sqrt(700))*5) + -3 + -6*(-2 + sqrt(700)))*-3)**2*6.
-54000*sqrt(7) + 3781345
Simplify -6*((6*(sqrt(1573)*4 + 4 + sqrt(1573) + sqrt(1573) + sqrt(1573) + -3*(-4*sqrt(1573) + sqrt(1573) + sqrt(1573))))**2 + 3).
-57424266 - 247104*sqrt(13)
Simplify (-4 + ((sqrt(175) + sqrt(175) + -3*sqrt(175)*2 + sqrt(175))*1 - ((sqrt(175) - (1 + 2*sqrt(175) + sqrt(175))) + sqrt(175)*-2*1))**2)*3.
30*sqrt(7) + 516
Simplify ((-3*-4*sqrt(7056)*-2)/((sqrt(112) - 2*sqrt(112)*-6 - sqrt(112)) + 1*-1*sqrt(112) + sqrt(112)))**2.
252
Simplify 4*3*(5*(sqrt(128) - (sqrt(128) + ((sqrt(128) + -1)*2 - sqrt(128))))*-2)**2*4*-4.
-2534400 + 614400*sqrt(2)
Simplify (5*-4*sqrt(84) - (-3*(sqrt(84) + 2*sqrt(84)) - sqrt(84)))/(sqrt(12)*-4*-3 - 5*sqrt(300)).
10*sqrt(7)/13
Simplify ((5*-1*sqrt(96))/sqrt(4))/(sqrt(108)/((sqrt(270)/sqrt(6))/sqrt(5))) + 4.
-5*sqrt(2) + 4
Simplify (3*(-5 + (4 + (sqrt(448) - (sqrt(448) + -1)))*-6 + 2) + -1 + -2)**2.
10404
Simplify (-1*(sqrt(50) - (sqrt(50) + sqrt(300)/sqrt(6)) - sqrt(50))/sqrt(5))/(sqrt(22)/(sqrt(22)/sqrt(2)) + (sqrt(242) - -2*sqrt(242)))*-5.
-5*sqrt(5)/17
Simplify 5*(((sqrt(1053) + -1)*-2 + 4 + 1*sqrt(1053) - (-3 + (sqrt(1053) - (sqrt(1053) + 1 - sqrt(1053)))*3)) + -4)**2.
-2880*sqrt(13) + 84560
Simplify (6*sqrt(3900)*2*5)/(sqrt(33)/(sqrt(11) + sqrt(66)/sqrt(6)) + sqrt(3) - sqrt(54)/sqrt(2)) + 0 + -1.
-400*sqrt(13) - 1
Simplify (((sqrt(112)*2 - sqrt(112)) + sqrt(112))*3 + sqrt(112) - (sqrt(112)*1 + sqrt(112))*4)/((sqrt(176)/sqrt(4)*-5 + sqrt(44))/(sqrt(11)*2*3)).
3*sqrt(7)
Simplify (4*(sqrt(28)/sqrt(2) + sqrt(14)) + sqrt(70)/sqrt(5)*4)/(-5*(sqrt(1008)*2 - sqrt(1008))*-5).
sqrt(2)/25
Simplify 1 + 0 + -3 + ((6*(sqrt(192)*1 + sqrt(192)))/sqrt(12))/(-2*(sqrt(8) + 6*sqrt(8)*-1)).
-2 + 6*sqrt(2)/5
Simplify -6*(-3*((0 + sqrt(208) + 3)*4*5 + 1))**2.
-4693734 - 527040*sqrt(13)
Simplify 2 + (5*(5 + sqrt(320)) + (sqrt(320) - (sqrt(320) - (sqrt(320) + -3 + 0))) + sqrt(320))**2 + -2.
2464*sqrt(5) + 16164
Simplify (0 + 1 + -1 + sqrt(325) + 1)**2 + -1*sqrt(13)*-6 + 1 + -1*(sqrt(13) + -1 + 5).
15*sqrt(13) + 323
Simplify 6*(3*(sqrt(468) - -2*sqrt(468)*3) + 2 + sqrt(468) + -1 + 0 + 2)**2.
4752*sqrt(13) + 1359126
Simplif
|
{
"pile_set_name": "DM Mathematics"
}
|
91.8
Product of -0.1 and -78.
7.8
3*121
363
0.2*0.0645
0.0129
Multiply 3 and 53.
159
Product of -1519 and 0.13.
-197.47
5 * 2523
12615
Product of -0.04 and -0.33.
0.0132
Multiply -0.134 and 0.4.
-0.0536
-13.64*3
-40.92
What is 81 times -54?
-4374
0.02879*0.3
0.008637
6349*-0.2
-1269.8
Product of -0.81 and 17.
-13.77
Work out 0.3 * -75.3.
-22.59
Multiply 0.4 and -0.035.
-0.014
-214 * -26
5564
Calculate -29*0.1.
-2.9
Multiply -5 and 9.3.
-46.5
What is 20 times -0.18?
-3.6
Product of -9789 and 0.3.
-2936.7
Product of 2.3 and 3.
6.9
10.84 times 0.1
1.084
What is 763 times -5.6?
-4272.8
What is -0.155 times 9?
-1.395
Product of 2 and 4.8.
9.6
Product of 0.01 and 0.2.
0.002
Multiply -0.5 and -115.
57.5
What is -0.09904 times -4?
0.39616
Product of -0.1636 and -5.
0.818
Multiply -0.5 and -9.6.
4.8
Calculate 6*129.
774
Product of 3 and -0.035.
-0.105
-0.4734 * -4
1.8936
-2.3*117
-269.1
Multiply -0.29 and 0.05.
-0.0145
Product of 0.4 and -5.
-2
-0.03 * -1.759
0.05277
Work out 103 * -0.11.
-11.33
What is the product of 3 and -0.04068?
-0.12204
What is 13 times 4?
52
What is the product of -4 and -25?
100
0.3*-0.048
-0.0144
Multiply 138 and -0.3.
-41.4
-4372 times 0.1
-437.2
Work out 0.26 * 23.
5.98
What is the product of -9 and 0.19?
-1.71
-17*-0.22
3.74
What is -2.09 times 1?
-2.09
Product of -4 and -7.17.
28.68
Product of -0.0607 and 2.
-0.1214
Work out -146.6 * -0.4.
58.64
What is 6 times -24?
-144
Product of -0.182 and -8.
1.456
66 * -5
-330
What is the product of 0.2 and 60?
12
What is the product of 2.3187 and -5?
-11.5935
Multiply 0.6 and -0.06.
-0.036
What is the product of -0.1 and -24?
2.4
What is -7 times -551?
3857
-67*5
-335
-0.4 * 0.07
-0.028
What is the product of 1167 and -0.5?
-583.5
What is -0.094 times -0.1?
0.0094
Product of -4 and -128.
512
11.08 * -3
-33.24
Calculate -0.22*-14.
3.08
Work out -1.6 * 502.
-803.2
Work out -0.4 * 458.
-183.2
What is the product of 0.2 and 63?
12.6
Calculate -67*0.5.
-33.5
10.7 times -22
-235.4
Calculate 2*-49.
-98
Multiply 109 and -0.14.
-15.26
1 * 15
15
Product of 1.3 and -16.
-20.8
134 times 1
134
1.072 * -1
-1.072
What is the product of 0.048 and 2?
0.096
5 times -0.5
-2.5
Calculate 0.028*0.4.
0.0112
Calculate 4*566.
2264
Multiply -22 and -26.
572
What is the product of 0.07 and 1112?
77.84
What is -135 times 14?
-1890
Calculate -2*3318.
-6636
What is 0.5 times -13.7?
-6.85
Work out 5 * 5.8.
29
Multiply 0.01 and 0.1.
0.001
0.02327*0.3
0.006981
Product of 0 and 8.
0
216*-8
-1728
Calculate 4*0.02.
0.08
What is -115.05 times -0.1?
11.505
Product of 0 and 8.
0
Work out 32 * 4.
128
What is 0.09 times 8?
0.72
Multiply 0.75 and 2.
1.5
Multiply -37 and -10.
370
Calculate -3358*3.
-10074
5 * 643
3215
What is -0.5 times 9?
-4.5
10 * 3.8
38
What is the product of -0.08765 and 0?
0
Work out -3 * -1.83.
5.49
Multiply 50.8 and -0.1.
-5.08
What is the product of -5 and -201?
1005
-0.242 times -0.4
0.0968
What is -0.1143 times -0.9?
0.10287
What is 1.9 times 0.02?
0.038
-0.04868 times 1
-0.04868
-24*8
-192
Multiply 6.06 and -4.
-24.24
What is the product of -14.3 and -3?
42.9
Work out -48 * -3.
144
What is the product of 3 and -167?
-501
-1.8 * -136
244.8
12*0.098
1.176
What is -432 times 25?
-10800
Work out -0.05 * 316.
-15.8
1533 * -0.1
-153.3
Calculate -0.08*-2.1.
0.168
What is 0.3 times -61.4?
-18.42
0.4 times -4
-1.6
What is the product of -0.11 and 3?
-0.33
-0.24 times -4.1
0.984
What is the product of -0.1 and 407?
-40.7
What is the product of -728 and -0.4?
291.2
Product of 151 and 0.35.
52.85
Product of -0.2 and 0.29.
-0.058
-0.6 * 0.033
-0.0198
-0.03 * -1.4
0.042
What is the product of 206 and -0.25?
-51.5
Work out 0.0096 * 2.
0.0192
Calculate 9.93*-0.3.
-2.979
Product of -0.09 and 14.
-1.26
What is the product of 0 and -310?
0
Multiply 1446 and 0.5.
723
0.09*-19
-1.71
What is 467 times 0.32?
149.44
What is the product of -5812 and 0.4?
-2324.8
Work out -0.36 * -43.
15.48
Calculate 0.1*-0.04.
-0.004
-0.1171 times 0.02
-0.002342
What is the product of 132 and 8?
1056
-4886*-0.3
1465.8
-0.03 * 0.0485
-0.001455
Multiply -19.8 and -5.
99
What is the product of -3 and -8?
24
Calculate -4*-0.4.
1.6
-0.3 * -0.2806
0.08418
Multiply 1061 and 1.
1061
Work out 85 * -0.08.
-6.8
Work out -0.8 * 1.1.
-0.88
What is the product of 11636 and 4?
46544
17.16 * 2
34.32
7 * -0.0543
-0.3801
Calculate 2*-1.337.
-2.674
Product of 1.1185 and -0.5.
-0.55925
Multiply -1.5 and -1.39.
2.085
Product of 83.33 and 0.5.
41.665
Multiply -0.08 and 83.
-6.64
Product of -0.2 and 2055.
-411
-2 * -0.14
0.28
Multiply 0.1 and 289.
28.9
Calculate -4.5*7.
-31.5
Calculate -16.72*-3.
50.16
-0.05 times 63
-3.15
-3*-1910
5730
Product of -28 and -0.4.
11.2
107.2 times 0.1
10.72
Calculate 3*-0.603.
-1.809
Calculate -0.1*-45.
4.5
Product of -0.41 and -0.046.
0.01886
What is the product of 163 and 0.13?
21.19
-9.2*-31
285.2
-0.2 times 128
-25.6
11 times 8
88
-5.6*-15
84
Multiply 3 and -2028.
-6084
What is the product of -322.5 and -0.04?
12.9
What is the product of 0.36 and -3.18?
-1.1448
Calculate 370*-3.1.
-1147
Calculate 0.076*0.53.
0.04028
-1088 * 0
0
Product of 9344 and 0.5.
4672
0.01 * -59
-0.59
Product of 2 and -1.99.
-3.98
What is -129.4 times 0.01?
-1.294
Calculate -1910*-2.
3820
-99*0.11
-10.89
What is the product of 0.6744 and -1?
-0.6744
What is -30 times 0?
0
11.07 times -2
-22.14
Work out -119 * -0.08.
9.52
Calculate -0.088*-0.6.
0.0528
Product of -1 and -5.1.
5.1
Work out 0.2 * -0.0659.
-0.01318
0.2 * 42
8.4
What is the product of -0.09 and -13?
1.17
-0.226*-0.7
0.1582
Work out 0.2 * 65.2.
13.04
Product of 2644 and -0.3.
-793.2
Calculate 1.9*-7.4.
-14.06
What is -5 times -3945?
19725
2 * -0.76
-1.52
5 * -0.1107
-0.5535
What is the product of 116.5 and -0.2?
-23.3
-0.5 * 231.7
-115.85
1749*-5
-8745
What is 0.5 times 278?
139
-267 * -3
801
6 times 0.83
4.98
-229 times -0.2
45.8
-77 * -0.07
5.39
Product of 2 and 357.
714
Calculate 14871*2.
29742
Multiply 15 and -11.
-165
Work out 0.3 * -81.
-24.3
0.339 times 0.3
0.1017
What is the product of -0.096 and 3?
-0.288
0.6*-0.0451
-0.02706
Multiply 0.1 and -0.0055.
-0.00055
Multiply 37 and 0.5.
18.5
Multiply 0.6 and -35.
-21
Product of 120.4 and 0.6.
72.24
Calculate -0.1*74.
-7.4
What is the product of 0.6 and -0.094?
-0.0564
What is 0.12 times -13.9?
-1.668
Calculate 0.26241*0.4.
0.104964
-0.5 times -133
66.5
What is -0.87 times 0.7?
-0.609
Product of 2 and -2.79.
-5.58
28*-0.21
-5.88
4*707
2828
What is the product of -0.5 and -3.63?
1.815
Product of 96 and 0.14.
13.44
Product of -0.4 and -6.4.
2.56
What is the product of 13 and 341?
4433
427 times -0.4
-170.8
-0.537 * -0.3
0.1611
What is the product of -0.068 and 1.1?
-0.0748
Calculate -0.09*-28.
2.52
What is 153.26 times 0.2?
30.652
-0.2 * 1995
-399
Multiply -7.1 and -144.
1022.4
-4 * -0.042
0.168
Work out 8 * -113.
-904
Calculate 5*269.
1345
Calculate 0*-231.1.
0
Calculate -2.4*-23.
55.2
Multiply 3 and -0.11.
-0.33
What is the product of -0.4 and 24?
-9.6
What is the product of -0.2407 and 1?
-0.2407
2465*0
0
What is 5 times 81?
405
Calculate -0.0576*3.
-0.1728
What is the product of -1.415 and -0.3?
0.4245
Calculate -9.67*-0.4.
3.868
-15 * 11.5
-172.5
306.5 * -3
-919.5
-230*-4
920
What is the product of -27 and -516?
13932
Work out 4.1 * -10.
-41
Calculate 0.9*0.049.
0.0441
0.248 * 0.5
0.124
Multiply 0.1 and 0.055.
0.0055
-24 times -0.05
1.2
51.4*0
0
Product of 0.04 and 1.899.
0.07596
Calculate 14*1.7.
23.8
What is -25 times -44?
1100
0 * 0.34
0
What is the product of 209 and 5?
1045
0.8 times 0.05
0.04
Work out 3 * -0.34.
-1.02
Work out 16 * 0.62.
9.92
0.2*-0.94
-0.188
0.1*785
78.5
Calculate -0.05*-985.
49.25
Multiply 618 and -5.
-3090
Product of 4480 and -0.3.
-1344
Calculate -27.3*-4.
109.2
What is the product of -0.1 and -479?
47.9
0.16 * 100
16
What is 0.89 times 0.05?
0.0445
What is the product of -4093 and -5?
20465
Multiply 7185 and 0.3.
2155.5
Multiply 0.06 and -0.9.
-0.054
Calculate -487*2.
-974
-65.2 times 0.3
-19.56
Calculate 0.376*43.
16.168
What is the product of 0.42381 and -0.4?
-0.169524
0.14 times -1
-0.14
What is the product of -0.5 and 288?
-144
-0.7 * 0.024
-0.0168
What is 2 times -2979?
-5958
125 * 0.1
12.5
Multiply 1.38 and -0.3.
-0.414
Multiply 0.2 and -0.085.
-0.017
Calculate -19.1*-4.
76.4
Calculate 4.7*4.
18.8
Wo
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 212. Determine l(c(x)).
204*x - 4
Let d(v) = v**2. Let l(f) = 12*f**2 - 3. Let a(y) = 9*y**2 - 2. Let r(t) = 3*a(t) - 2*l(t). Give r(d(b)).
3*b**4
Let r(s) = 48313*s. Let f(j) = 20*j. Give f(r(n)).
966260*n
Suppose 199 + 153 = 4*u. Suppose -n - 5*h = 3, -6 = 4*n - 5*n + 4*h. Let p(x) = -88 + u + x**n. Let t(s) = 3*s**2. What is t(p(g))?
3*g**4
Let u(c) be the first derivative of -4*c**3/3 - 117. Let r(o) be the third derivative of 11*o**4/24 + 3*o**2. Give r(u(l)).
-44*l**2
Let r(u) = 2*u**2 - 1522*u + 3. Let b(a) = a. Give r(b(q)).
2*q**2 - 1522*q + 3
Let q(s) = -2*s**2. Let p(n) = 1349938*n + 6979. Let b(i) = -967*i - 5. Let c(r) = 6979*b(r) + 5*p(r). Determine c(q(j)).
-1994*j**2
Let n = 30 - 27. Let d(f) = n*f - 8*f + 19*f + 5*f. Let i(l) = -2*l**2. Determine i(d(r)).
-722*r**2
Let j(a) = -47*a**2 - 36. Let r(q) = -23*q**2 - 20. Let v(x) = -3*j(x) + 5*r(x). Let w(k) = -2*k. What is w(v(h))?
-52*h**2 - 16
Suppose -6*b = -b - 10. Let j(r) = b*r + 5*r**2 - 2*r + 0*r. Let m(f) be the second derivative of -f**4/6 + 5*f + 9. What is j(m(k))?
20*k**4
Let u(k) = k. Suppose -30 = -7*p + 5*p. Suppose 0*j - 5*j + p = 0. Let r(o) = -3*o + 2*o + j*o. Determine r(u(q)).
2*q
Let v(g) be the second derivative of 5*g + 0*g**2 - 1/6*g**3 + 0. Let t(m) = 3*m. What is t(v(o))?
-3*o
Let i(m) = -m**2 - m + 2. Let c(z) = 5*z**2 + 4*z - 8. Let u(f) = c(f) + 4*i(f). Let h(d) = 42*d**2. What is u(h(w))?
1764*w**4
Let h(c) = -13*c. Let m(q) be the first derivative of -14*q**2 + 339. What is m(h(u))?
364*u
Let b(q) = 2*q**2 + 2*q + 2. Let r be b(-3). Let l(k) = -15 - r + 2*k**2 + 29. Let w(n) be the first derivative of -n**3/3 + 1. Determine w(l(v)).
-4*v**4
Let r(u) = -6*u. Let o(g) = -g**2 + g. Let b(y) be the first derivative of -9 - 7/2*y**2 + 0*y + 2*y**3. Let c(t) = 3*b(t) + 21*o(t). Give c(r(k)).
-108*k**2
Let a(u) = 1932*u. Let h(l) = 6*l. Determine h(a(x)).
11592*x
Let r(a) = -a**2 - 9*a + 4. Let w be r(-9). Let h(k) = -w*k + 4*k - 23*k - 7*k. Let i(y) = y. Give h(i(z)).
-30*z
Let d(l) = -2*l - 38022. Let r(y) = 2*y**2. What is d(r(k))?
-4*k**2 - 38022
Let q(k) = 14*k. Let d(l) = -3*l. Let h(c) = -20*c. Let s(x) = -39*d(x) + 6*h(x). Let v(i) = -7*i. Let y(o) = -5*s(o) + 2*v(o). Calculate y(q(u)).
14*u
Let c(r) = 56*r + 1. Let d(u) = -3*u + 1127. Give c(d(o)).
-168*o + 63113
Let q(r) be the first derivative of -23*r**2/2 - 1. Let p(y) = -96 + 2*y - 75 + 267 - 96. Give p(q(i)).
-46*i
Let y(q) be the first derivative of -q**4/12 + 2*q - 2. Let m(d) be the first derivative of y(d). Let g(f) = -56 - 2*f + 56. What is m(g(v))?
-4*v**2
Let v(u) = -1925*u**2 - u - 1. Let p(z) = -3*z. What is p(v(c))?
5775*c**2 + 3*c + 3
Let u(k) = 2*k**2. Let w(g) be the second derivative of 12*g**4 + g**2 - 2*g - 50. What is w(u(m))?
576*m**4 + 2
Let n(s) = s. Let i(p) = -22725*p**2. What is i(n(b))?
-22725*b**2
Let x(c) = -3*c**2 + c. Let w(h) = 21*h**2 - 6*h. Let f(b) = -w(b) - 6*x(b). Let a(n) = -52*n - 3. What is f(a(o))?
-8112*o**2 - 936*o - 27
Let a(h) = 2645*h**2. Let g(s) = -43*s. Give a(g(y)).
4890605*y**2
Let o(p) = -8*p - 1. Let d(l) = -50*l**2 + 25*l**2 + 23*l**2. Give d(o(j)).
-128*j**2 - 32*j - 2
Let r(q) = -1039549*q. Let v(w) = -5*w. Calculate v(r(p)).
5197745*p
Let t(v) = 7641*v. Let u(c) = 59*c**2. Calculate t(u(o)).
450819*o**2
Let l(v) be the first derivative of -v**3 + 150. Let x(n) = 40*n - 1. Give l(x(g)).
-4800*g**2 + 240*g - 3
Let j(a) = -a**3 - 3*a**2 - 3*a - 4. Let q be j(-3). Let z(n) = -n. Let d(w) = -4*w. Let c(u) = q*z(u) - d(u). Let p(l) = 11*l**2. Give p(c(b)).
11*b**2
Let a(w) = 3*w**2. Let n(f) = 1993801*f. Give a(n(t)).
11925727282803*t**2
Let y(f) = -f. Let w(d) = -14244*d. Calculate y(w(t)).
14244*t
Let x(p) be the second derivative of -p**3/3 - 727*p. Let m(b) = 8*b**2 + 17*b**2 + 4*b**2. What is x(m(n))?
-58*n**2
Let s(x) = 88*x**2. Let z(b) be the first derivative of -b**3/3 - 63. What is s(z(g))?
88*g**4
Let s(c) = -7*c**2. Let i(x) = -6*x - 2. Let v be i(-1). Let q(a) = -4*a**2 - a**2 + v*a**2 - 2*a**2. What is s(q(b))?
-63*b**4
Let z(s) = 3*s. Let l(j) be the second derivative of -j**4/6 + 19*j**2/2 - 216*j + 1. What is l(z(r))?
-18*r**2 + 19
Let n(h) = 2*h - 2*h - 3*h. Let m(d) be the second derivative of d**3/3 + 1634*d. What is n(m(a))?
-6*a
Suppose -3*p + 5 = 2. Let m(f) = 1 - p + 9*f. Let r(s) be the first derivative of s**2 + 664. Give r(m(d)).
18*d
Let c(d) = -d**2 - 21*d - 30. Let p be c(-19). Let i(u) = 68*u - 8. Let v(m) = -45*m + 5. Let w(j) = p*v(j) + 5*i(j). Let h(o) = 2*o. What is w(h(g))?
-40*g
Let f(v) = -83196 - 150*v + 83196. Let s(a) = 3*a**2. Determine f(s(j)).
-450*j**2
Let t(r) = 31*r - 93. Let m(c) = -c. Determine m(t(l)).
-31*l + 93
Let d(c) be the first derivative of -c**3/3 + 2. Let h(z) be the second derivative of -1/3*z**4 + 0 + 0*z**2 + 0*z**3 + 7*z. Calculate h(d(g)).
-4*g**4
Let g(s) be the first derivative of -30 + 0*s**2 + 0*s - 7/3*s**3. Let l(w) = -2*w**2. Give l(g(u)).
-98*u**4
Suppose 0 = -0*w - 2*w + 3*q + 1403, 4*w = 5*q + 2807. Let a(o) = -w - 5*o + 703. Let r(c) = 3*c**2. Give a(r(y)).
-15*y**2
Let c(w) = 346*w**2. Let m(y) = 5*y + 20. Calculate c(m(k)).
8650*k**2 + 69200*k + 138400
Let a(m) = 4014*m**2 - 8027*m**2 + 4015*m**2. Let k(l) = 5*l**2 - 4. Let j(s) = 36*s**2 - 27. Let d(f) = -4*j(f) + 27*k(f). What is d(a(n))?
-36*n**4
Let q(v) be the first derivative of 14*v**3/3 - 130. Let y(s) = 7*s**2. Calculate y(q(w)).
1372*w**4
Let s(z) = 2917*z**2 + 315. Let g(t) = 2*t. Give g(s(d)).
5834*d**2 + 630
Let d(x) = -x. Let f(u) be the third derivative of -143*u**5/60 - 11*u**3/2 + 18*u**2. Let l(b) = 22*b**2 + 5. Let n(q) = 5*f(q) + 33*l(q). Calculate n(d(y)).
11*y**2
Let p(x) = 389*x**2. Let f(t) = -445*t + 1. What is f(p(g))?
-173105*g**2 + 1
Let x(g) = 19*g - 13. Let j(q) = 2 + 14*q - 11*q - 6*q. Let l(u) = 39*j(u) + 6*x(u). Let w(f) be the third derivative of f**5/30 + 2*f**2. What is l(w(m))?
-6*m**2
Let i(y) = 51392*y. Let a(s) = 3*s**2. Give i(a(x)).
154176*x**2
Let b(v) = v**2 - 2. Let s(c) = -2*c**2 + 3. Let n(o) = 3*b(o) + 2*s(o). Let l(d) = 30*d**2. Give l(n(x)).
30*x**4
Suppose -757*o + 769*o = 36. Let b(a) be the second derivative of -5*a + 0*a**2 + 1/12*a**4 + 0*a**o + 0. Let m(h) = 6*h**2. What is b(m(z))?
36*z**4
Let w(d) = -690*d**2. Let h(x) = -45*x**2. Determine h(w(t)).
-21424500*t**4
Let j(m) be the second derivative of 5*m**3/6 - 445*m. Let n(g) be the first derivative of g**2 + 1. What is n(j(v))?
10*v
Let v(d) = 8*d**2 - 4. Let f(n) = 15*n**2 - 10. Let t(z) = 2*f(z) - 5*v(z). Let r(b) = 0*b**2 - 3*b**2 - 32*b + 32*b. What is t(r(g))?
-90*g**4
Let y(j) = -59*j**2 - 70*j**2 + 123*j**2. Let k(w) = 13*w**2. Give y(k(v)).
-1014*v**4
Suppose -3*j + 0 = 4*u - 24, 0 = -2*j + 4*u - 4. Let a(z) be the third derivative of 0*z + 1/6*z**j - 5*z**2 + 0 + 0*z**3. Let d(n) = 3*n**2. What is d(a(y))?
48*y**2
Let p(b) = 4*b**2 + 3*b + 3. Let i(u) = -9*u**2 - 7*u - 7. Let c be (7/1)/(3/6*-1). Let h(k) = c*p(k) - 6*i(k). Let v(g) = -16*g. What is v(h(l))?
32*l**2
Let c(o) = -10416*o. Let p(v) = -7*v. Determine c(p(a)).
72912*a
Let k(g) be the third derivative of g**5/30 - 116*g**2. Let p(d) be the third derivative of 11/60*d**5 - 3*d**2 + 0*d**4 + 0*d + 0 + 0*d**3. What is k(p(u))?
242*u**4
Let x(t) = 7*t + 63. Let r(c) = -508*c. Calculate x(r(q)).
-3556*q + 63
Let y(h) = -84*h. Let d(v) = 5831*v**2. Determine d(y(m)).
41143536*m**2
Let z(j) be the second derivative of -j**3/2 - 3*j. Let g be (1*(-24)/20)/(4/(-50)). Let u(x) = -34 + 19 - x + g. Determine u(z(v)).
3*v
Let c(n) be the third derivative of n**7/2520 - n**5/5 + 28*n**2. Let y(p) be the third derivative of c(p). Let h(u) = 48*u. Give h(y(l)).
96*l
Let x(n) = 409*n**2 - 2*n - 401*n**2 + 2*n. Let b(f) = -7*f**2. Give b(x(c)).
-448*c**4
Let j(a) = -a. Let f(m) = -757776*m**2. Give j(f(w)).
757776*w**2
Let j(n) = -11533*n. Let x(g) = 61*g**2 + 2. Give j(x(p)).
-703513*p**2 - 23066
Let y(j) be the second derivative of -41*j**4/12 - 25*j. Let k(t) = -2*t. What is k(y(x))?
82*x**2
Let x(u) = 7*u**2 + 3*u**2 + 12*u**2 - 3*u**2. Let z(s) be the second derivative of s**4/3 + 98*s. What is x(z(r))?
304*r**4
Let t(f) = -2*f**2 + 19493053*f - 19493053*f. Let y(j) = -17*j - 5. Let z(k) = -16*k - 4. Let m(g) = 6*y(g) - 7*z(g). Give m(t(s)).
-
|
{
"pile_set_name": "DM Mathematics"
}
|
any minutes are there between 5:32 AM and 3:29 PM?
597
What is 12 minutes before 7:40 AM?
7:28 AM
How many minutes are there between 12:12 AM and 4:03 AM?
231
What is 552 minutes before 8:52 AM?
11:40 PM
How many minutes are there between 12:49 PM and 5:51 PM?
302
What is 292 minutes after 1:59 PM?
6:51 PM
How many minutes are there between 12:11 PM and 1:11 PM?
60
What is 194 minutes after 6:26 PM?
9:40 PM
How many minutes are there between 3:08 PM and 7:28 PM?
260
How many minutes are there between 11:48 AM and 2:05 PM?
137
How many minutes are there between 10:38 PM and 12:57 AM?
139
What is 681 minutes after 3:44 PM?
3:05 AM
What is 491 minutes before 3:29 PM?
7:18 AM
What is 420 minutes after 8:51 AM?
3:51 PM
What is 41 minutes after 5:59 PM?
6:40 PM
How many minutes are there between 11:47 PM and 8:37 AM?
530
What is 337 minutes before 9:24 AM?
3:47 AM
How many minutes are there between 5:27 AM and 4:34 PM?
667
What is 353 minutes after 11:18 PM?
5:11 AM
What is 59 minutes after 12:35 PM?
1:34 PM
What is 144 minutes after 12:15 AM?
2:39 AM
What is 627 minutes before 12:25 PM?
1:58 AM
What is 609 minutes before 4:59 PM?
6:50 AM
What is 152 minutes before 12:53 PM?
10:21 AM
How many minutes are there between 10:47 PM and 11:46 PM?
59
What is 405 minutes after 12:40 PM?
7:25 PM
How many minutes are there between 9:59 PM and 9:46 AM?
707
How many minutes are there between 2:09 PM and 6:06 PM?
237
What is 128 minutes after 2:33 AM?
4:41 AM
How many minutes are there between 11:26 AM and 12:10 PM?
44
How many minutes are there between 9:05 PM and 10:08 PM?
63
What is 456 minutes before 3:13 AM?
7:37 PM
How many minutes are there between 4:49 AM and 1:05 PM?
496
How many minutes are there between 12:38 AM and 1:29 AM?
51
What is 505 minutes before 3:15 PM?
6:50 AM
How many minutes are there between 5:01 PM and 2:39 AM?
578
How many minutes are there between 7:51 AM and 1:09 PM?
318
How many minutes are there between 4:16 PM and 2:50 AM?
634
How many minutes are there between 6:05 PM and 10:05 PM?
240
How many minutes are there between 7:02 PM and 12:19 AM?
317
How many minutes are there between 1:44 PM and 9:36 PM?
472
What is 387 minutes after 7:22 PM?
1:49 AM
How many minutes are there between 5:11 AM and 8:15 AM?
184
How many minutes are there between 10:58 AM and 7:00 PM?
482
How many minutes are there between 9:29 PM and 5:39 AM?
490
How many minutes are there between 12:41 AM and 7:21 AM?
400
What is 520 minutes after 3:29 PM?
12:09 AM
How many minutes are there between 8:56 AM and 5:04 PM?
488
How many minutes are there between 5:45 AM and 12:12 PM?
387
How many minutes are there between 10:33 AM and 6:09 PM?
456
How many minutes are there between 2:22 PM and 8:33 PM?
371
How many minutes are there between 8:15 PM and 8:02 AM?
707
What is 251 minutes before 8:18 AM?
4:07 AM
What is 634 minutes after 1:40 PM?
12:14 AM
How many minutes are there between 2:44 AM and 3:53 AM?
69
What is 304 minutes before 4:08 AM?
11:04 PM
How many minutes are there between 2:56 PM and 2:39 AM?
703
What is 609 minutes after 4:23 AM?
2:32 PM
What is 207 minutes after 7:10 PM?
10:37 PM
What is 101 minutes after 3:29 AM?
5:10 AM
What is 488 minutes after 5:48 PM?
1:56 AM
How many minutes are there between 2:08 AM and 2:07 PM?
719
How many minutes are there between 5:24 PM and 3:49 AM?
625
How many minutes are there between 5:54 PM and 8:09 PM?
135
How many minutes are there between 5:43 PM and 12:51 AM?
428
How many minutes are there between 10:52 PM and 12:34 AM?
102
How many minutes are there between 11:23 AM and 7:28 PM?
485
How many minutes are there between 7:09 AM and 11:23 AM?
254
What is 416 minutes after 3:42 AM?
10:38 AM
How many minutes are there between 11:47 PM and 4:49 AM?
302
How many minutes are there between 2:10 PM and 11:54 PM?
584
What is 310 minutes before 11:26 PM?
6:16 PM
What is 374 minutes after 9:40 AM?
3:54 PM
What is 525 minutes after 3:50 AM?
12:35 PM
How many minutes are there between 2:06 AM and 3:47 AM?
101
How many minutes are there between 2:43 AM and 9:08 AM?
385
How many minutes are there between 7:31 PM and 8:23 PM?
52
What is 546 minutes after 3:47 AM?
12:53 PM
What is 525 minutes after 9:55 PM?
6:40 AM
How many minutes are there between 12:29 AM and 12:18 PM?
709
What is 71 minutes before 10:28 AM?
9:17 AM
How many minutes are there between 8:54 PM and 1:58 AM?
304
What is 292 minutes before 1:29 AM?
8:37 PM
What is 623 minutes before 4:19 AM?
5:56 PM
What is 342 minutes after 9:14 PM?
2:56 AM
How many minutes are there between 2:16 PM and 4:11 PM?
115
How many minutes are there between 8:23 PM and 4:16 AM?
473
What is 237 minutes after 7:53 PM?
11:50 PM
How many minutes are there between 5:03 AM and 3:55 PM?
652
What is 270 minutes before 9:59 PM?
5:29 PM
How many minutes are there between 1:24 PM and 10:48 PM?
564
How many minutes are there between 11:11 AM and 3:15 PM?
244
What is 149 minutes after 3:59 PM?
6:28 PM
What is 251 minutes after 8:23 AM?
12:34 PM
How many minutes are there between 7:50 AM and 1:11 PM?
321
How many minutes are there between 1:16 PM and 7:47 PM?
391
How many minutes are there between 11:58 AM and 6:40 PM?
402
What is 207 minutes after 7:42 AM?
11:09 AM
What is 468 minutes before 10:33 AM?
2:45 AM
What is 373 minutes before 8:09 PM?
1:56 PM
How many minutes are there between 4:11 AM and 12:38 PM?
507
How many minutes are there between 4:25 PM and 3:54 AM?
689
How many minutes are there between 4:26 PM and 12:34 AM?
488
What is 279 minutes after 9:01 PM?
1:40 AM
How many minutes are there between 3:19 PM and 8:36 PM?
317
How many minutes are there between 12:15 AM and 7:58 AM?
463
How many minutes are there between 8:52 AM and 4:28 PM?
456
How many minutes are there between 10:23 AM and 10:48 AM?
25
How many minutes are there between 9:30 AM and 8:01 PM?
631
What is 231 minutes after 12:20 PM?
4:11 PM
How many minutes are there between 12:13 PM and 8:35 PM?
502
What is 634 minutes after 4:13 AM?
2:47 PM
How many minutes are there between 9:29 AM and 2:12 PM?
283
What is 583 minutes after 9:29 PM?
7:12 AM
How many minutes are there between 7:35 AM and 10:58 AM?
203
How many minutes are there between 10:51 AM and 2:08 PM?
197
What is 609 minutes after 1:42 PM?
11:51 PM
What is 20 minutes before 8:42 PM?
8:22 PM
What is 367 minutes after 11:53 AM?
6:00 PM
How many minutes are there between 10:13 AM and 8:36 PM?
623
What is 126 minutes after 9:56 PM?
12:02 AM
How many minutes are there between 12:25 AM and 2:33 AM?
128
How many minutes are there between 9:06 PM and 1:09 AM?
243
What is 194 minutes after 4:21 PM?
7:35 PM
What is 481 minutes before 7:00 AM?
10:59 PM
How many minutes are there between 2:37 PM and 4:19 PM?
102
How many minutes are there between 4:18 PM and 6:35 PM?
137
How many minutes are there between 12:46 PM and 6:03 PM?
317
What is 623 minutes before 5:13 AM?
6:50 PM
How many minutes are there between 3:56 AM and 10:08 AM?
372
How many minutes are there between 10:19 AM and 10:23 AM?
4
How many minutes are there between 3:48 PM and 9:43 PM?
355
What is 320 minutes before 8:02 PM?
2:42 PM
How many minutes are there between 10:13 AM and 3:26 PM?
313
What is 539 minutes after 12:50 PM?
9:49 PM
How many minutes are there between 5:23 AM and 2:39 PM?
556
What is 535 minutes after 12:57 AM?
9:52 AM
How many minutes are there between 10:01 PM and 12:17 AM?
136
What is 207 minutes before 12:18 AM?
8:51 PM
What is 387 minutes after 8:14 PM?
2:41 AM
How many minutes are there between 1:05 PM and 8:39 PM?
454
How many minutes are there between 8:00 AM and 2:07 PM?
367
How many minutes are there between 12:57 AM and 12:42 PM?
705
What is 103 minutes after 8:52 AM?
10:35 AM
How many minutes are there between 2:38 PM and 12:24 AM?
586
What is 203 minutes after 4:35 AM?
7:58 AM
What is 42 minutes before 11:05 PM?
10:23 PM
What is 662 minutes before 11:06 AM?
12:04 AM
How many minutes are there between 7:07 PM and 12:12 AM?
305
How many minutes are there between 12:36 AM and 12:40 AM?
4
What is 480 minutes after 11:57 AM?
7:57 PM
How many minutes are there between 4:06 AM and 8:21 AM?
255
How many minutes are there between 7:32 AM and 5:50 PM?
618
What is 127 minutes after 4:16 AM?
6:23 AM
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
*(d + 1)
Let s be (-2 + 24/15)*-1. Suppose -a + 50 = 46. Determine x, given that 0*x - s*x**3 + a*x**4 + 0 - 4/5*x**2 = 0.
-2/5, 0, 1/2
Suppose -r + 0 + 1/3*r**2 = 0. What is r?
0, 3
Let s(r) be the third derivative of 1/90*r**5 - 1/315*r**7 + 0*r**3 + 4*r**2 + 0*r - 1/36*r**4 + 1/180*r**6 + 0. Suppose s(m) = 0. Calculate m.
-1, 0, 1
Factor -1/4 - 1/4*h**3 + 1/4*h**2 + 1/4*h.
-(h - 1)**2*(h + 1)/4
Let u(c) be the first derivative of c**4/6 - c**3/3 + 2*c - 2. Let o(r) be the first derivative of u(r). Find m, given that o(m) = 0.
0, 1
Let j = 3/1016 + 44677/9144. Let o = -38/9 + j. Factor 2/3*d**2 - 2/9*d + 0 + 2/9*d**4 - o*d**3.
2*d*(d - 1)**3/9
Factor 0 - 1/3*h**2 - 1/3*h.
-h*(h + 1)/3
Let q = 27/10 + -8/3. Let x(u) be the second derivative of -1/5*u**2 + q*u**4 + u + 0*u**3 + 0. Find w such that x(w) = 0.
-1, 1
Let n(x) be the third derivative of x**6/30 + x**5/15 + 2*x**2. Solve n(w) = 0 for w.
-1, 0
Let s(r) = r**2 + 1. Let g(q) = 16*q**2 - 32*q + 56. Let b(l) = g(l) - 20*s(l). Solve b(n) = 0 for n.
-9, 1
Let h be ((-4)/30)/((-7)/35). Factor 2/3*k**3 + h + 8/3*k**2 - 1/3*k**5 - 2/3*k**4 + 7/3*k.
-(k - 2)*(k + 1)**4/3
Let l(k) be the first derivative of -k**3/3 + k + 5. Factor l(y).
-(y - 1)*(y + 1)
Let q(v) be the second derivative of -3/2*v**2 - 2*v**3 - 1/10*v**6 - 3/5*v**5 - 3/2*v**4 + 3*v + 0. Factor q(f).
-3*(f + 1)**4
Let i = 7981/585 - 646/45. Let x = -3/65 - i. Factor -x*t**3 + 0*t + 1/3*t**4 + 1/3*t**2 + 0.
t**2*(t - 1)**2/3
Let b(i) = -4*i**3 - 9*i**2 - 4*i + 4. Let d(v) = 21*v**3 + 46*v**2 + 20*v - 20. Let s(l) = -11*b(l) - 2*d(l). Find z, given that s(z) = 0.
-2, 1/2
Let f(n) = -n + 5 - 5 + 0 - n**3. Let o(u) = 8*u**3 - u**2 + 6*u + 1. Let r(s) = -14*f(s) - 2*o(s). Factor r(y).
-2*(y - 1)**2*(y + 1)
Let o(g) be the second derivative of g**6/40 - 3*g**5/20 + 3*g**4/16 + g**3/2 - 3*g**2/2 + 5*g. Factor o(d).
3*(d - 2)**2*(d - 1)*(d + 1)/4
Let g(u) be the first derivative of u**4/28 - u**3/21 - 13. Factor g(f).
f**2*(f - 1)/7
Suppose -2*a + 9 = a. Let c be a/(-1 + (-2)/(-1)). Let 1/3*l**4 + 1/3*l**2 + 0*l + 2/3*l**c + 0 = 0. Calculate l.
-1, 0
Let d = 14 - 8. Let v(l) = -4*l**3 - 2*l - 1. Let z be v(-1). Factor 0*c**5 + 4*c**3 + 4*c**z - 2*c**5 - d*c**4 + 0*c**5.
2*c**3*(c - 2)*(c - 1)
Suppose -6 = 2*m - 2. Let a be ((-14)/m - -1)/2. Factor -2*n**4 - a*n**3 + 0*n**4 + 0*n**4.
-2*n**3*(n + 2)
Let l(m) be the third derivative of m**6/360 - m**5/180 - m**4/72 - m**3/2 - m**2. Let u(x) be the first derivative of l(x). Find g such that u(g) = 0.
-1/3, 1
Suppose 15 - 15*a - 6*a + 3*a + 5*a**2 - 2*a = 0. Calculate a.
1, 3
Solve 21*c - 2 - 17*c - c**2 - 1 = 0 for c.
1, 3
Let v(y) be the first derivative of 4*y**3/3 + 2*y**2 - 24*y + 72. Factor v(o).
4*(o - 2)*(o + 3)
Let w(u) be the third derivative of 0 - 5/48*u**4 + 1/224*u**8 + 1/24*u**6 + 0*u + 0*u**5 + 1/6*u**3 - 1/42*u**7 - u**2. Solve w(g) = 0.
-2/3, 1
Let l(m) = -m + 2. Let z be l(-9). Let k(c) = -c + 13. Let y be k(z). Find u such that 4*u**4 - 18*u**5 - 6*u + 4 - 8*u**y + 28*u**3 + 4*u**5 - 8*u = 0.
-1, 2/7, 1
Let v(d) be the third derivative of -d**6/30 + 3*d**5/5 - 4*d**4 + 32*d**3/3 - 11*d**2. Factor v(s).
-4*(s - 4)**2*(s - 1)
Let y(x) = -8*x**3 + 10*x**2 - 2*x. Let m(v) = -v**3 + v**2. Suppose 7 = -5*l + 2. Let f(j) = l*y(j) + 6*m(j). Factor f(r).
2*r*(r - 1)**2
Let x be 4/(-3) - -1 - 55/(-132). Let y(a) be the third derivative of 2*a**2 + x*a**4 + 0*a + 0 + 0*a**3 - 1/15*a**5 + 1/60*a**6. What is r in y(r) = 0?
0, 1
Factor -520*x**4 + 343*x + 31*x**2 - 11*x**2 + 2704*x**5 - 339*x - 183*x**3.
x*(4*x - 1)**2*(13*x + 2)**2
Let z(x) = -7*x**4 + 15*x**3 - 8*x**2 - 2*x + 2. Let g(p) = -85*p**4 + 180*p**3 - 95*p**2 - 25*p + 25. Let u(b) = 2*g(b) - 25*z(b). Factor u(c).
5*c**2*(c - 2)*(c - 1)
Let o = -331 + 333. Factor -2/3*r**3 + 0 - 2/3*r**o + 4/3*r.
-2*r*(r - 1)*(r + 2)/3
Let 2/3*y**2 - y + 1/3 = 0. What is y?
1/2, 1
Let z(g) be the third derivative of 1/72*g**6 + 0 - 1/72*g**4 + 0*g + 0*g**3 - 2*g**2 - 1/45*g**5. Suppose z(w) = 0. What is w?
-1/5, 0, 1
Suppose -2*u + 16 = 4*q, 3*q = 4*u - 1 - 9. Let g(j) be the second derivative of 3*j - 1/3*j**u + 0*j**2 + 0 - 4/15*j**6 + 7/10*j**5 - 1/3*j**3. Factor g(v).
-2*v*(v - 1)**2*(4*v + 1)
Let n(y) = y**3 + 13*y**2 + 11*y - 9. Let q be n(-12). Solve -3 + 15*l - 12*l**2 - 2 - 1 + 3*l**q = 0 for l.
1, 2
Let h(a) = 3*a - 12. Let g be h(4). Let y(b) be the second derivative of -1/12*b**4 + g - 1/20*b**5 - 2*b + 1/2*b**2 + 1/6*b**3. Factor y(v).
-(v - 1)*(v + 1)**2
Let t(y) be the third derivative of 0*y**3 - 1/1008*y**8 + 0*y + 1/120*y**6 - 1/90*y**5 + 0*y**4 + 2*y**2 + 0 + 0*y**7. Suppose t(w) = 0. Calculate w.
-2, 0, 1
Let q(l) be the first derivative of 7/10*l**4 + 2/25*l**5 + 4*l**2 + 5 + 12/5*l**3 + 16/5*l. Factor q(w).
2*(w + 1)*(w + 2)**3/5
Let n = -121/3 + 41. What is k in n*k**2 - 2/3*k + 0 = 0?
0, 1
Let l(h) be the first derivative of 0*h**3 + 5 + 1/5*h**5 - h - h**2 + 1/2*h**4. Factor l(p).
(p - 1)*(p + 1)**3
Let i(t) = -t**3 + 2*t**2 + 4*t - 6. Let s be i(2). Suppose 0 + 0*j - 1/6*j**s = 0. What is j?
0
Suppose -3 = 7*v - 10*v. Let w be 4 + (68/(-24) - v). Factor -w*f**2 - 1/3*f - 1/6.
-(f + 1)**2/6
Suppose m + 41 = 4*z, -m - m - 5 = -z. Suppose 4*t - z = -a, -40 = -5*t + 2*a + 2*a. Factor r**2 + 2*r**2 - 14*r**5 + r**2 - 6*r**3 - 24*r**t.
-2*r**2*(r + 1)**2*(7*r - 2)
Let t(z) be the second derivative of z**5/4 + 5*z**4/3 + 25*z**3/6 + 5*z**2 - 6*z. Determine d so that t(d) = 0.
-2, -1
Let k(i) = i**5 - 9*i**4 + 10*i**3 - 2*i**2 + 11*i. Let g(w) = -w**4 + w**3 + w. Let n(m) = -22*g(m) + 2*k(m). Determine u, given that n(u) = 0.
-2, -1, 0, 1
Suppose -29*i = -24*i. Determine d so that 0 + i*d - 4/7*d**2 + 6/7*d**3 - 2/7*d**4 = 0.
0, 1, 2
Let b(j) = -3*j**2 + 9*j**2 - 7 - 7*j - j**3 - 2*j**2 + 2*j**3. Let n be b(-5). Factor -2/3*v - 5/3*v**2 - 3*v**4 + 0 + 16/3*v**n.
-v*(v - 1)**2*(9*v + 2)/3
Let w(i) be the first derivative of i**5/5 + 3*i**4/4 + i**3/3 - 3*i**2/2 - 2*i + 1. Factor w(l).
(l - 1)*(l + 1)**2*(l + 2)
Let o(q) = 5*q**3 - 13*q**2 + 2*q + 2. Let u(k) = -6*k**3 + 12*k**2 - 3*k - 3. Let i(l) = 3*o(l) + 2*u(l). Factor i(b).
3*b**2*(b - 5)
Let y be (-6)/54*6/(-4). Let r(i) be the second derivative of y*i**4 + 2/3*i**3 + 0*i**2 + 0 - 2*i. Suppose r(u) = 0. What is u?
-2, 0
Let w(y) = -y + 1. Let l(o) = -3*o + 1. Let g(z) = 2*l(z) - 5*w(z). Let b be g(-8). Determine c so that 0*c - 4*c**2 + 9*c**4 - 3*c**3 - b*c**2 + 3*c = 0.
-1, 0, 1/3, 1
Let a = 96/287 - 2/41. Factor 2/7 + 4/7*k + a*k**2.
2*(k + 1)**2/7
Let j(i) be the third derivative of -i**8/20160 + i**7/5040 + i**5/15 + 3*i**2. Let q(c) be the third derivative of j(c). Solve q(r) = 0.
0, 1
Let f(i) = i**4 - i + 1. Let m(o) = 2*o**4 + 12*o**3 - 12*o**2 - 5*o + 5. Let r(b) = -5*f(b) + m(b). Factor r(k).
-3*k**2*(k - 2)**2
Let d(t) = -t**5 - t**4 - t**2. Let v(a) = 3*a**5 - 2*a**3 + 10*a**2 - 7*a + 2. Let u(j) = -2*d(j) - v(j). Factor u(s).
-(s - 1)**4*(s + 2)
Let a be 2/3 - (-8)/(-12). Let j be a + -1 + -1 + 2. What is k in 2/9*k**2 + j + 0*k + 2/9*k**3 = 0?
-1, 0
Let o(n) be the third derivative of -n**6/160 + n**5/80 + n**4/32 - n**3/8 + 4*n**2. Factor o(w).
-3*(w - 1)**2*(w + 1)/4
Suppose 1054*i + 2*i**5 - 1054*i - 2*i**3 = 0. What is i?
-1, 0, 1
Let u(h) = h**3 + 6*h**2 - 8*h - 5. Let m be u(-7). Suppose 4 + b**3 + 2*b**2 - 5*b - 3*b**m - 8 + 1 = 0. Calculate b.
-1, 3
Let i(m) be the first derivative of m**8/336 - 4*m**7/315 + 7*m**6/360 - m**5/90 + m**2 - 2. Let y(z) be the second derivative of i(z). Factor y(b).
b**2*(b - 1)**2*(3*b - 2)/3
Let l(a) be the first derivative of -a**3 - 3*a**2/2 + 18*a + 36. Factor l(c).
-3*(c - 2)*(c + 3)
Factor -5*o**3 - 6*o**5 - 155*o**3 + 51*o**5 + 75*o**4 + 60*o**2.
5*o**2*(o + 3)*(3*o - 2)**2
Suppose 0 = 4*x - 3*i - 6, 5*i + 10 = -4*x + 3*x. Factor 0 + x*g - 1/3*g**4 - g**2 - 4/3*g**3.
-g**2*(g + 1)*(g + 3)/3
Let i(a) be the third derivative of -7*a**5/20 + 3*a**4/4 + 13*a**3/2 + 3*a**2. Let b(n) = 6*n**2 - 5*n - 11. Let h(k) = 18*b(k) + 5*i(k). Factor h(y).
3*(y - 1)*(y + 1)
What is h in -10*h**3 + 0*h - 34*h**4 + 16*h**2 + 18*h**4 + 4*h + 6*h**3 = 0?
-1, -1/4, 0, 1
Let z = -14 + 16. Solve -3*x**2 - z*x**2 + 5*x**2 + x + x**2 = 0 for x.
-1, 0
Factor 0 + 0*j - 3/4*j**3 - 1/2*j**2.
-j**2*(3*j + 2)/4
Let i(j) be the first de
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{
"pile_set_name": "DM Mathematics"
}
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