text
stringlengths 518
8.19k
| meta
dict |
---|---|
Let w(m) = m**3 + 5*m**2 - 24*m - 98. Give w(-5).
22
Let d(o) = -3*o**2 - 61*o - 124. Calculate d(-19).
-48
Let p(d) = -d**3 - 11*d**2 - 6*d - 38. Determine p(-11).
28
Let h(u) = 15*u + 56. What is h(3)?
101
Let k(m) = -4*m**2 - 40*m + 12. What is k(-7)?
96
Let c(p) = p**3 + 7*p**2 + 13*p + 16. What is c(-8)?
-152
Let z(h) = 26*h**2 - 2653*h + 105. Calculate z(102).
3
Let k(t) = 7*t**3 + 6*t**2 + 7*t + 2. Give k(-1).
-6
Let x(n) = n**3 - 12*n**2 - 69*n + 543. Determine x(6).
-87
Let t(h) = 3*h**3 + 6*h**2 - 8*h - 9. Calculate t(-3).
-12
Let k(c) = -c**3 - 157*c**2 - 1976*c + 3720. Calculate k(-143).
2
Let z(b) = 76*b + 3119. Calculate z(-41).
3
Let t(u) = 10*u**3 + 307*u**2 - 94*u - 28. Give t(-31).
3
Let f(h) = -2*h**3 - 37*h**2 - 127*h - 19. Give f(-14).
-5
Let f(v) = v**3 + 6*v**2 + 63*v + 176. Calculate f(-7).
-314
Let y(d) = d**3 + 3*d**2 + 48*d + 529. Determine y(-7).
-3
Let n(f) = f + 95. What is n(-23)?
72
Let w(y) = -7*y**3 - 7*y**2 + 6*y + 16. Determine w(-2).
32
Let t(u) = -u**3 - 48*u**2 - 7*u - 57. Give t(-48).
279
Let v(b) = 3*b**2 + 119*b + 194. Give v(-38).
4
Let z(b) = b**3 + 8*b**2 - b + 15. Give z(-9).
-57
Let x(c) = -6*c**3 - 3*c**2 - c + 6. Calculate x(-2).
44
Let n(y) = -2271*y + 40892. Give n(18).
14
Let m(a) = -a**3 + 6*a**2 - 21*a + 295. What is m(8)?
-1
Let b(j) = -j**3 + 163*j**2 + 2710*j + 595. Calculate b(-15).
-5
Let z(d) = 3*d**3 + 766*d**2 + 252*d - 762. What is z(-255)?
3
Let n(w) = w**3 - 13*w**2 - 7*w + 258. Determine n(12).
30
Let o(i) = i**3 - 14*i**2 + 4*i + 122. Calculate o(13).
5
Let z(g) = 3*g**2 - 4*g - 12. What is z(-4)?
52
Let m(a) = -2*a**3 + 32*a**2 - 86*a + 1374. What is m(16)?
-2
Let t(c) = -81*c + 1781. What is t(22)?
-1
Let k(t) = 64*t + 2192. Give k(-34).
16
Let i(k) = k**3 + 59*k**2 + 162*k - 337. What is i(-56)?
-1
Let r(u) = 17*u**3 - 7*u - 3. What is r(-2)?
-125
Let f(v) = 3179*v + 12813. Give f(-4).
97
Let a(h) = h**3 + 18*h**2 - 69*h + 5. What is a(3)?
-13
Let m(f) = f**2 - 75*f - 16950. Calculate m(-98).
4
Let m(y) = -133*y + 3172. Determine m(25).
-153
Let y(j) = 7*j**3 + 16*j**2 - 14*j - 47. What is y(-3)?
-50
Let k(i) = -i**3 - 48*i**2 - i - 67. Determine k(-48).
-19
Let w(q) = -q**3 + 41*q**2 - 80*q + 76. What is w(39)?
-2
Let x(h) = -3*h**2 - 40*h + 180. Calculate x(4).
-28
Let u(p) = p**2 - 27*p + 354. Determine u(14).
172
Let n(x) = 56*x - 109. What is n(2)?
3
Let j(k) = -8*k**2 + 23*k - 24. Determine j(1).
-9
Let b(o) = -117*o + 6318. Determine b(54).
0
Let a(x) = -x**3 - 9*x**2 + 17*x + 6. Give a(-10).
-64
Let f(q) = 2*q**2 + 18*q - 145. Give f(5).
-5
Let c(d) = d**2 - 53*d + 623. Determine c(35).
-7
Let f(t) = 165*t**2 - 9568*t - 67. Give f(58).
49
Let d(m) = -39*m - 301. Give d(-10).
89
Let l(o) = 102*o - 23636. Calculate l(232).
28
Let c(h) = 79*h + 5273. What is c(-65)?
138
Let y(b) = 3458*b + 10371. What is y(-3)?
-3
Let k(u) = -u**3 - 36*u**2 - 125*u + 104. Calculate k(-32).
8
Let o(i) = -i**2 + 55*i - 374. What is o(7)?
-38
Let y(r) = -r**2 - 471*r + 5296. Determine y(11).
-6
Let o(y) = y**3 - 4*y**2 - 29*y - 7. Determine o(7).
-63
Let o(d) = 15*d + 93. Calculate o(-18).
-177
Let h(u) = 3*u**2 + 169*u + 24. Give h(-56).
-32
Let w(o) = 891*o + 4428. Determine w(-5).
-27
Let x(z) = -6*z**3 + 4*z**2 + 683*z + 1. What is x(11)?
12
Let b(d) = 2*d**3 + 5*d**2 + 22*d + 19. Give b(-2).
-21
Let y(f) = -2*f**3 - 18*f**2 + 44*f + 260. Calculate y(-10).
20
Let w(o) = -52319*o + 104629. Calculate w(2).
-9
Let d(i) = 3*i**3 - 92*i**2 + 220*i + 95. Give d(28).
-17
Let a(i) = 13*i**2 - 25*i + 3. What is a(2)?
5
Let p(d) = 56*d + 12. Give p(2).
124
Let u(n) = 6*n - 266. Give u(17).
-164
Let a(u) = -12*u**3 + 25*u**2 + 26*u. Calculate a(-1).
11
Let b(p) = 8*p**2 + 553*p + 49. Determine b(-69).
-20
Let l(o) = 9*o**2 - 1026*o + 1019. What is l(113)?
2
Let q(g) = -g**2 + 21*g + 16. Calculate q(8).
120
Let g(c) = c**3 - 40*c**2 + 2*c + 1419. Calculate g(39).
-24
Let x(m) = 6*m**2 - 257*m + 2475. Calculate x(15).
-30
Let k(r) = -2178*r + 89293. Give k(41).
-5
Let i(f) = 354*f**2 + 7*f + 7. Give i(-1).
354
Let t(q) = 176*q + 1075. Calculate t(-6).
19
Let q(f) = 1767*f + 26495. Give q(-15).
-10
Let t(j) = 25*j**2 - 3*j - 5. Determine t(1).
17
Let z(x) = x**2 + 41*x - 43. Give z(-41).
-43
Let g(c) = -c**2 - 85*c - 617. What is g(-8)?
-1
Let h(c) = -2*c**2 - 27*c - 114. What is h(-8)?
-26
Let p(u) = 75*u + 45. Determine p(0).
45
Let d(q) = 49*q + 4376. What is d(-90)?
-34
Let j(p) = p**3 - 165*p - 48. Calculate j(13).
4
Let w(x) = 10*x + 257. Give w(-27).
-13
Let c(y) = y**2 - 27*y + 75. What is c(24)?
3
Let j(b) = 48*b + 1248. Determine j(-26).
0
Let o(s) = 17*s**2 - 60*s - 29. Determine o(7).
384
Let g(k) = 3*k**3 + 2*k**2 - 26*k + 24. Give g(2).
4
Let d(r) = -67*r + 1159. Calculate d(13).
288
Let f(c) = -943*c - 24521. Give f(-26).
-3
Let g(u) = 2*u**2 - 4*u + 3. What is g(1)?
1
Let v(l) = l**3 + 240*l**2 + 3164*l - 48. Give v(-226).
-48
Let p(i) = i**3 - 7*i**2 - 51*i - 32. Calculate p(13).
319
Let j(n) = -3*n + 166. What is j(16)?
118
Let h(v) = -3*v**3 + 28*v**2 - 21*v + 8. Give h(11).
-828
Let x(o) = 30*o + 4029. What is x(-134)?
9
Let g(m) = -m**3 + 18*m**2 - 70*m + 26. Determine g(13).
-39
Let p(g) = -15*g**2 - 156*g + 9. Calculate p(-10).
69
Let t(r) = -242*r**3 - 6*r**2 - 7*r - 1. Calculate t(-1).
242
Let y(g) = -g**2 + 546*g + 16115. Calculate y(-28).
43
Let b(q) = q**2 + 24*q - 1212. Calculate b(24).
-60
Let r(j) = -22*j**3 - 16*j**2 + 2*j. Determine r(-2).
108
Let c(y) = 43*y + 100. What is c(-3)?
-29
Let j(n) = -n**3 + 55*n**2 - 68*n + 633. Calculate j(54).
-123
Let i(k) = -60*k - 4796. Give i(-80).
4
Let o(b) = 33*b + 294. Give o(-11).
-69
Let y(v) = 420*v + 5425. Give y(-13).
-35
Let f(o) = -8*o + 368. Determine f(31).
120
Let q(f) = 180*f + 7201. Determine q(-40).
1
Let t(s) = -13*s**3 + 2*s**2 - 42*s - 138. Determine t(-3).
357
Let x(q) = -q**3 - 10*q**2 - q - 116. What is x(-11)?
16
Let u(n) = -n**3 + 21*n**2 - 23*n + 60. What is u(20)?
0
Let i(r) = 31*r**2 - 159*r + 28. Give i(5).
8
Let u(y) = -6771*y + 13550. Determine u(2).
8
Let r(y) = 19*y + 631. What is r(-33)?
4
Let k(v) = -2*v**2 + 45*v - 29. Determine k(13).
218
Let t(f) = -7*f**2 - 47*f - 73. Determine t(-4).
3
Let f(z) = -167*z**3 - 13*z**2 + 2*z + 2. What is f(-1)?
154
Let w(p) = -2*p**3 - 26*p**2 + 530*p + 40. Calculate w(-24).
-8
Let j(o) = o**2 - 15*o + 8. What is j(15)?
8
Let c(g) = -928*g + 4608. Determine c(5).
-32
Let g(f) = 21*f - 96. Determine g(-13).
-369
Let n(r) = -r**3 + 5*r**2 + r + 4. Give n(3).
25
Let a(x) = x**3 - 42*x**2 + 288*x - 12092. Calculate a(42).
4
Let y(b) = -2*b**2 - 17*b - 53. Give y(-8).
-45
Let y(n) = -n**2 + 197*n + 6817. What is y(227)?
7
Let a(z) = -z**3 - 10*z**2 - 9*z + 8. Determine a(-9).
8
Let y(m) = 9740*m - 29214. Calculate y(3).
6
Let r(x) = -64*x**2 + 5*x. Calculate r(1).
-59
Let s(b) = -b**3 - 10*b**2 + 17*b - 12. Give s(-11).
-78
Let t(x) = x**3 - 41*x**2 - 108*x - 1042. What is t(44)?
14
Let v(m) = -m**3 - 20*m**2 - 57*m - 484. Calculate v(-19).
238
Let z(n) = 5*n + 158. Determine z(-33).
-7
Let m(r) = r**3 - 218*r + 908. Give m(12).
20
Let h(g) = -g**3 - 38*g**2 - 43*g - 242. Give h(-37).
-20
Let d(r) = r**2 - 40*r - 1120. Calculate d(59).
1
Let n(u) = 2*u**2 + 87*u - 319. What is n(-47)?
10
Let q(x) = -x**3 + 3*x**2 + 30*x - 7. Give q(7).
7
Let z(d) = 22*d - 501. Determine z(26).
71
Let s(q) = -15*q**2 - 190*q - 235. What is s(-11)?
40
Let n(p) = -24*p**2 + 289*p - 10. What is n(12)?
2
Let p(q) = -3*q**3 + 75*q**2 - 71*q - 14. What is p(24)?
10
Let b(a) = -a**3 + a**2 - 28*a - 27. Give b(-7).
561
Let o(b) = 4182*b + 29257. Calculate o(-7).
-17
Let c(x) = 478*x - 2379. Determine c(5).
11
Let h(j) = 37*j + 111. Calculate h(-3).
0
Let w(c) = c**3 + 58*c**2 + 55*c - 122. Give w(-57).
-8
Let q(o) = 2937*o - 14687. Determine q(5).
-2
Let m(k) = k**2 - 2946*k + 38123. What is m(13)?
-6
Let i(k) = 115*k**3 + k**2 + 4*k + 5. What is i(-1)?
-113
Let d(g) = 516*g - 5691. Give d(11).
-15
Let a(z) = -2*z**2 + 117*z - 64. Calculate a(58).
-6
Let s(l) = -49*l + 1586. Give s(33).
-31
Let f(a) = -2*a**2 - 2260*a - 22485. Calculate f(-10).
-85
Let a(m) = m**3 + 3*m**2 - 111*m - 506. Give a(-5).
-1
Let l(f) = f**3 - 7*f**2 + 69*f - 602. What is l(8)?
14
Let a(k) = 3*k**2 + 182*k + 74 | {
"pile_set_name": "DM Mathematics"
} |
than -3?
True
Which is smaller: 23281 or 23283?
23281
Which is bigger: 2/6531 or 1?
1
Do 1/979 and -3/8 have the same value?
False
Is -19618 smaller than -19607?
True
Is 1 not equal to -64/15149?
True
Which is greater: -326835 or -326834?
-326834
Is 200504 not equal to 1002517/5?
True
Which is smaller: 0.4442 or -60/17?
-60/17
Which is smaller: 206527 or 206526?
206526
Is 12/14087 at least -1?
True
Is 428974 not equal to 428973?
True
Is 7228 at least as big as 7585?
False
Does 0.1 = -0.032308?
False
Which is greater: -843 or -775?
-775
Is -890 less than or equal to -902?
False
Is 0.4 at most -3436?
False
Which is smaller: 95205 or 95207?
95205
Is 2711 > 2690?
True
Is 3271 at most as big as 4361?
True
Do 1029 and 1044 have the same value?
False
Which is bigger: 163896 or 163895?
163896
Is 16/256355 < 1?
True
Which is bigger: 18846/11 or 1713?
18846/11
Which is bigger: -1 or -141274?
-1
Are 0.332 and -1798 equal?
False
Which is bigger: 420 or 508?
508
Which is smaller: 1316 or 1304?
1304
Which is smaller: 392 or -0.13?
-0.13
Are 56 and -4414 unequal?
True
Which is smaller: -4 or 19753?
-4
Which is bigger: 3027 or 2635?
3027
Which is smaller: -11/169241 or 0?
-11/169241
Is 3/1522295 greater than or equal to 0?
True
Do 0 and -3/6667694 have different values?
True
Which is bigger: 1555 or 1583?
1583
Which is smaller: -107.5 or 2/25?
-107.5
Is -663 <= 0.33?
True
Is 1056 <= -1.8?
False
Is 0 < -356066?
False
Which is smaller: -50/893 or 20?
-50/893
Which is greater: 76 or 3792/49?
3792/49
Which is smaller: 6198 or -0.02?
-0.02
Which is smaller: 90908/9 or 10100?
10100
Which is bigger: 227 or 222?
227
Which is greater: 0 or 1/2530398?
1/2530398
Is -5 bigger than -373/87?
False
Is 390 less than 650?
True
Are 29787/25 and 1192 nonequal?
True
Is -30 >= 1987?
False
Which is greater: -6.472 or 11?
11
Is 10693 bigger than 10689?
True
Which is bigger: -30 or -27635?
-30
Which is bigger: 2280/43 or 52?
2280/43
Is 1824 smaller than 1836?
True
Is 78/7 >= 5.54?
True
Is 5.2 at least 755?
False
Is -1058 greater than or equal to 1.93?
False
Is 87252 greater than 2/3?
True
Is 0 not equal to 3/887207?
True
Which is greater: 337/1431 or -1?
337/1431
Is 18420/203 < 91?
True
Is -657212 equal to -657212?
True
Is -3635 at least -18172/5?
False
Which is bigger: 5 or 2194?
2194
Which is smaller: -43804 or -43805?
-43805
Which is smaller: -103/43865 or 1?
-103/43865
Which is bigger: 1.3 or 5323/4?
5323/4
Which is bigger: -33/19411 or -1?
-33/19411
Do -150803 and 0.2 have different values?
True
Is -2/5 less than or equal to 58/85141?
True
Is -11 < -54.98?
False
Do -3637796/3 and -1212598 have the same value?
False
Which is smaller: 1 or -15/2261?
-15/2261
Which is smaller: 17732 or 124128/7?
17732
Is 306/47887 greater than -1?
True
Which is greater: 12.36 or 52/9?
12.36
Is -1/876164 greater than 1?
False
Which is greater: 125/2062 or 1?
1
Is 2/749837 less than -1?
False
Which is bigger: 153/845 or -1?
153/845
Which is smaller: -37/537 or 0?
-37/537
Is 23.9 at most as big as -16?
False
Is -3304 smaller than 281?
True
Which is greater: 0.066 or -1/103?
0.066
Which is bigger: -449773 or -1799091/4?
-1799091/4
Which is bigger: 6/1269163 or 1?
1
Is 0 > -8/36649?
True
Is -1 greater than 770113?
False
Do -104903 and -104900 have the same value?
False
Is -3261 at least as big as 70?
False
Is 3 bigger than 366/233?
True
Which is smaller: -430 or 837?
-430
Is 1644 >= 1505?
True
Are -438/725 and 0 non-equal?
True
Which is smaller: -29929.88 or -0.1?
-29929.88
Which is smaller: 5077 or 6/11?
6/11
Is 180 at most 257.3?
True
Which is greater: -1000 or -88035/88?
-1000
Which is smaller: 77/282 or 1/3?
77/282
Which is bigger: 444 or 857?
857
Is -93 greater than -16731?
True
Is -9111 <= -9025?
True
Which is bigger: -30/2453 or -1?
-30/2453
Which is smaller: -101667 or -101669?
-101669
Are 883.7 and 9 unequal?
True
Which is smaller: -4195651 or -4195650?
-4195651
Is 1 greater than or equal to 4233.9?
False
Does -718835 = 2/5?
False
Is -5 > -0.029172?
False
Which is greater: -17 or -4076/225?
-17
Which is smaller: -45342 or -136030/3?
-136030/3
Which is greater: -7804 or -7777?
-7777
Is -0.2 <= 40851?
True
Which is smaller: 1 or 19/28753?
19/28753
Which is smaller: 234804 or 234800?
234800
Is -6499 greater than or equal to -6526?
True
Which is smaller: -2015 or 299?
-2015
Which is bigger: -1182 or -454?
-454
Which is smaller: 28581 or 12?
12
Which is smaller: 1 or -0.089806?
-0.089806
Is 6346 at most 6138?
False
Which is smaller: -12250 or -0.1?
-12250
Are 36/109615 and 1 nonequal?
True
Which is greater: 35444 or -4?
35444
Does -2/99301 = 1?
False
Is -183079 less than -183079?
False
Is -2623 less than -2509?
True
Is 43/4 <= 20299?
True
Which is smaller: 330 or 152?
152
Is 987/13385 at most 1?
True
Which is bigger: 4/206355 or 1?
1
Is 1 at most 1/6007?
False
Is -973 greater than or equal to -899?
False
Which is smaller: 46722 or 46740?
46722
Which is smaller: -2146/3865 or -1?
-1
Which is bigger: -1 or -16/990651?
-16/990651
Is -19 at least -5251/291?
False
Do 2957 and 2964 have the same value?
False
Is -1 at most as big as 7633?
True
Which is smaller: 2/3 or 2946/25?
2/3
Which is greater: -1 or -40/3981?
-40/3981
Which is bigger: -66482/5 or -13295?
-13295
Which is smaller: -5327 or -5316?
-5327
Is 7041 < 7031?
False
Is -23512/27 less than or equal to -872?
False
Which is greater: -54 or -64345?
-54
Which is bigger: -0.2 or 11744?
11744
Is -69618 < -35?
True
Are -405385 and -405386 nonequal?
True
Does 0.12 = 0.98424?
False
Is -146291 > -146293?
True
Which is smaller: 2/19048041 or 0?
0
Which is greater: 90161 or 13?
90161
Is 89472 <= 89472?
True
Is 2 < 4.118085?
True
Do 25 and -1319 have different values?
True
Which is smaller: -9 or -475?
-475
Which is bigger: 1420 or 1409?
1420
Is -0.3 at least as big as 1/133374?
False
Is -18 not equal to 8959?
True
Does 337 = 2/7?
False
Is -127 greater than -27?
False
Which is smaller: -383979 or -383984?
-383984
Is -1 equal to 65685/7?
False
Which is bigger: 2/469259 or 1?
1
Which is bigger: -431/37 or -63?
-431/37
Which is smaller: -24481 or -24488?
-24488
Which is greater: 0 or 37/21187?
37/21187
Is 11 at least as big as 2492/207?
False
Which is smaller: 183863 or 367723/2?
367723/2
Is -838981 equal to -838978?
False
Which is smaller: -1271472/19 or -66921?
-66921
Do -1 and 34/41931 have the same value?
False
Which is smaller: 46 or 0.1976?
0.1976
Which is smaller: -1 or -221901?
-221901
Which is smaller: -19658 or -1/2?
-19658
Which is greater: -1/103674 or -1?
-1/103674
Which is bigger: 4463 or 4467?
4467
Which is smaller: -85/6 or -407?
-407
Which is smaller: -45039/14 or -3216?
-45039/14
Which is greater: 203691 or 203689?
203691
Are 494259/7 and 70607 nonequal?
True
Is -1 < -27/346043?
True
Is 2118862 at least 2118862?
True
Is -2361 at least -2368?
True
Which is smaller: -2435009 or 1/4?
-2435009
Which is bigger: 8 or 28531?
28531
Is 4 at least 263306?
False
Is 11656 at most as big as 81600/7?
True
Which is smaller: -179770 or -179772?
-179772
Does -124 = -1019?
False
Is -712/435 at most -1?
True
Which is bigger: 15008 or 15015?
15015
Which is smaller: -5082 or -5147?
-5147
Is 1 at least -2/949253?
True
Which is greater: -1 or 10/218797?
10/218797
Do 227/2238 and 0 have different values?
True
Which is smaller: -0.101 or -141?
-141
Is -24116 < -24116?
False
Is 91884/61 at most 1506?
False
Which is greater: -790 or -10280/13?
-790
Which is smaller: 2/661857 or 1?
2/661857
Is 1875/19 <= -0.6?
False
Which is smaller: 24649 or 36?
36
Is 26 smaller than 13676/541?
False
Which is bigger: 2 or -139895?
2
Which is greater: 304 or 838?
838
Do 1 and -1/24245 have the same value?
False
Which is bigger: -54976 or -0.2?
-0.2
Which is greater: -1047 or -1303?
-1047
Does -1/113417 = -1?
False
Which is smaller: -0.69 or -3351?
-3351
Which is smaller: -193568 or -193569?
-193569
Are -0.57099 and 0 equal?
False
Which is greater: 4598 or 11?
4598
Which is smaller: 140/44931 or 0?
0
Is -47/1407 bigger than 0?
False
Are 11902 and 0.04 nonequal?
True
Are -67872/25 and -2715 unequal?
True
Is 1 >= -100/1477?
True
Which is bigger: 44 or 131?
131
Is -2684 > -2544?
False
Are 3254887 and 1 unequal?
True
Which is greater: 139789 or 419369/3?
419369/3
Is 6528 less than 6519?
| {
"pile_set_name": "DM Mathematics"
} |
is the n'th term of -19189, -153495, -518065, -1228039, -2398557, -4144759, -6581785, -9824775?
-19190*n**3 + 8*n**2 - 7
What is the k'th term of -102315, -101323, -100331, -99339, -98347?
992*k - 103307
What is the f'th term of 83582, 167086, 250576, 334052, 417514, 500962, 584396?
-7*f**2 + 83525*f + 64
What is the q'th term of -10760, -10118, -9476, -8834, -8192?
642*q - 11402
What is the j'th term of 2227, 4614, 6997, 9376, 11751?
-2*j**2 + 2393*j - 164
What is the i'th term of -1103, -2160, -3107, -3944, -4671, -5288?
55*i**2 - 1222*i + 64
What is the b'th term of -4167, -4940, -5841, -6870?
-64*b**2 - 581*b - 3522
What is the p'th term of 49374, 191933, 429524, 762141, 1189778, 1712429, 2330088?
-p**3 + 47522*p**2 + 1853
What is the j'th term of -322338689, -322338691, -322338695, -322338701, -322338709?
-j**2 + j - 322338689
What is the q'th term of -61089, -244377, -549851, -977511, -1527357, -2199389?
-61093*q**2 - 9*q + 13
What is the q'th term of -29634, -26717, -23800, -20883?
2917*q - 32551
What is the b'th term of -20296625, -20296619, -20296607, -20296589, -20296565?
3*b**2 - 3*b - 20296625
What is the y'th term of 2278, 4120, 7198, 11518, 17086, 23908, 31990?
y**3 + 612*y**2 - y + 1666
What is the i'th term of -41483, -83336, -125189?
-41853*i + 370
What is the n'th term of -808110, -1616227, -2424344, -3232461, -4040578, -4848695?
-808117*n + 7
What is the i'th term of 4405, 10113, 15821?
5708*i - 1303
What is the c'th term of -96595, -193199, -289803, -386407?
-96604*c + 9
What is the o'th term of 282730, 282743, 282778, 282847, 282962, 283135, 283378?
2*o**3 - o**2 + 2*o + 282727
What is the h'th term of -106399622, -425598485, -957596590, -1702393937, -2659990526, -3830386357?
-106399621*h**2 - 1
What is the u'th term of -6763756, -6763752, -6763748, -6763744, -6763740, -6763736?
4*u - 6763760
What is the o'th term of 1418657, 1418649, 1418641?
-8*o + 1418665
What is the p'th term of 34, -4648, -9332, -14018, -18706, -23396?
-p**2 - 4679*p + 4714
What is the q'th term of 437, 25, -387, -799?
-412*q + 849
What is the o'th term of 98393, 198045, 297697, 397349?
99652*o - 1259
What is the w'th term of -76415, -80552, -84689, -88826, -92963, -97100?
-4137*w - 72278
What is the g'th term of 3841728, 3841731, 3841736, 3841743, 3841752, 3841763?
g**2 + 3841727
What is the v'th term of -24, -237, -724, -1563, -2832?
-13*v**3 - 59*v**2 + 55*v - 7
What is the h'th term of 11246, 49664, 115256, 208022, 327962?
13587*h**2 - 2343*h + 2
What is the w'th term of 1867853, 3735707, 5603561, 7471415, 9339269?
1867854*w - 1
What is the f'th term of 9710, 12424, 16954, 23306, 31486, 41500?
f**3 + 902*f**2 + f + 8806
What is the p'th term of -19025, -37785, -56545?
-18760*p - 265
What is the g'th term of -5759, -11621, -17833, -24569, -32003, -40309, -49661, -60233?
-29*g**3 - g**2 - 5656*g - 73
What is the b'th term of 54097, 52149, 50199, 48247, 46293, 44337, 42379?
-b**2 - 1945*b + 56043
What is the l'th term of -1820871, -1820878, -1820885, -1820892?
-7*l - 1820864
What is the i'th term of 9182, 35835, 80256, 142445, 222402?
8884*i**2 + i + 297
What is the u'th term of -152000, -154205, -160190, -171845, -191060, -219725, -259730, -312965?
-315*u**3 - 151685
What is the h'th term of 1976594, 1976517, 1976442, 1976369, 1976298?
h**2 - 80*h + 1976673
What is the h'th term of -123873, -123481, -123089, -122697, -122305?
392*h - 124265
What is the u'th term of 686648, 1373228, 2059796, 2746346, 3432872, 4119368?
-u**3 + 686587*u + 62
What is the k'th term of -12817, -13761, -14705, -15649, -16593, -17537?
-944*k - 11873
What is the t'th term of 16094, 32175, 48256, 64337, 80418?
16081*t + 13
What is the d'th term of 286, 272, -32, -626, -1510, -2684?
-145*d**2 + 421*d + 10
What is the p'th term of -282, -519, -912, -1461?
-78*p**2 - 3*p - 201
What is the v'th term of 1112, 2093, 3078, 4067, 5060, 6057?
2*v**2 + 975*v + 135
What is the z'th term of -135998, -140220, -144442, -148664, -152886, -157108?
-4222*z - 131776
What is the p'th term of -31212, -31125, -30772, -30021, -28740, -26797, -24060, -20397?
22*p**3 + p**2 - 70*p - 31165
What is the v'th term of 1140451, 2280922, 3421393, 4561864?
1140471*v - 20
What is the s'th term of -18062, -37647, -57232, -76817, -96402, -115987?
-19585*s + 1523
What is the a'th term of 30062, 60436, 90810?
30374*a - 312
What is the i'th term of 9339561, 9339559, 9339557, 9339555, 9339553?
-2*i + 9339563
What is the i'th term of -452346, -452359, -452374, -452391, -452410?
-i**2 - 10*i - 452335
What is the b'th term of 57203, 51802, 46401, 41000, 35599, 30198?
-5401*b + 62604
What is the r'th term of 4608658, 4608659, 4608658, 4608655, 4608650?
-r**2 + 4*r + 4608655
What is the v'th term of -724048, -1447806, -2171564, -2895322, -3619080?
-723758*v - 290
What is the i'th term of -326, 943, 3020, 5911, 9622, 14159, 19528?
i**3 + 398*i**2 + 68*i - 793
What is the h'th term of 2385126, 2385132, 2385138?
6*h + 2385120
What is the q'th term of 2681176582, 2681176583, 2681176584, 2681176585, 2681176586?
q + 2681176581
What is the d'th term of 53116, 106470, 160068, 213910?
122*d**2 + 52988*d + 6
What is the w'th term of -871, -1626, -2255, -2758, -3135?
63*w**2 - 944*w + 10
What is the t'th term of -1020, -689, -186, 489, 1336, 2355, 3546?
86*t**2 + 73*t - 1179
What is the j'th term of 264, 372, 390, 390, 444, 624?
12*j**3 - 117*j**2 + 375*j - 6
What is the k'th term of -40128540, -80257084, -120385628, -160514172, -200642716?
-40128544*k + 4
What is the w'th term of 25078897, 50157795, 75236693, 100315591, 125394489?
25078898*w - 1
What is the g'th term of 87642, 175551, 263460, 351369, 439278?
87909*g - 267
What is the a'th term of -143294, -286058, -428824, -571592, -714362?
-a**2 - 142761*a - 532
What is the q'th term of -26674, -26961, -27248, -27535, -27822?
-287*q - 26387
What is the l'th term of 270213, 540469, 810729, 1080993, 1351261, 1621533, 1891809?
2*l**2 + 270250*l - 39
What is the v'th term of -23551412, -23551414, -23551416?
-2*v - 23551410
What is the l'th term of 789, 5887, 19507, 45843, 89089, 153439, 243087?
699*l**3 + 67*l**2 + 4*l + 19
What is the g'th term of 551147, 2204590, 4960337, 8818394, 13778767, 19841462?
g**3 + 551146*g**2 - 2*g + 2
What is the z'th term of 35417881, 35417898, 35417915?
17*z + 35417864
What is the w'th term of -8698, -21262, -33826?
-12564*w + 3866
What is the h'th term of 16893, 16806, 16661, 16458, 16197, 15878, 15501?
-29*h**2 + 16922
What is the k'th term of -1649, -1988, -2327?
-339*k - 1310
What is the y'th term of -4378, -9591, -15710, -22729, -30642, -39443, -49126?
y**3 - 459*y**2 - 3843*y - 77
What is the s'th term of -4283, -17905, -40855, -73133?
-4664*s**2 + 370*s + 11
What is the s'th term of -4547, -37270, -126095, -299072, -584251?
-4675*s**3 - s**2 + 5*s + 124
What is the g'th term of -46082, -46089, -46100, -46115?
-2*g**2 - g - 46079
What is the y'th term of -7325193, -7325182, -7325155, -7325106, -7325029, -7324918?
y**3 + 2*y**2 - 2*y - 7325194
What is the i'th term of 7501433, 7501436, 7501439, 7501442, 7501445, 7501448?
3*i + 7501430
What is the u'th term of -3544, -2659, -1774, -889, -4?
885*u - 4429
What is the s'th term of 1055, 1233, 1411, 1583, 1743, 1885?
-s**3 + 6*s**2 + 167*s + 883
What is the c'th term of -2648686, -2648702, -2648736, -2648794, -2648882, -2649006, -2649172, -2649386?
-c**3 - 3*c**2 - 2648682
What is the s'th term of 15995, 63930, 143797, 255596, 399327?
15966*s**2 + 37*s - 8
What is the t'th term of -55025, -110053, -165077, -220085, -275065, -330005, -384893, -439717?
2*t**3 - 10*t**2 - 55012*t - 5
What is the d'th term of -10132, -17154, -28858, -45244, -66312?
-2341*d**2 + d - 7792
What is the d'th term of 46064385, 46064373, 46064361, 46064349?
-12*d + 46064397
What is the p'th term of -36498, -74331, -112164?
-37833*p + 1335
What is the f'th term of -980772, -980779, -980786?
-7*f - 980765
What is the r'th term of -1010107, -1010076, -1010045, -1010014?
31*r - 1010138
What is the l'th term of -508501, -1016994, -1525487, -2033980, -2542473, -3050966?
-508493*l - 8
What is the v'th term of 113363, 452920, 1018667, 1810604?
113095*v**2 + 272*v - 4
What is the c'th term of 2602, 5952, 10046, 14884, 20466, 26792, | {
"pile_set_name": "DM Mathematics"
} |
-y + 0 + 2*q + 2 + 3 wrt q.
2
Let u(y) be the first derivative of 7*y**6/6 + 5*y**3/3 - 8. What is the third derivative of u(p) wrt p?
420*p**2
Let x(m) = -5*m**4 - 14*m**2 + 5*m - 5. Let j(t) = t - 1. Let q(r) = 5*j(r) - x(r). What is the third derivative of q(k) wrt k?
120*k
Let j(k) be the second derivative of k**5/20 - k**2/2 - k. Find the first derivative of j(d) wrt d.
3*d**2
What is the derivative of -274*b - 21*b**4 + 274*b - 13 wrt b?
-84*b**3
Suppose o - 3 = 2. What is the second derivative of -2*l - 2*l + 7*l**5 - 11*l**o wrt l?
-80*l**3
Let v = 4 - 1. Find the second derivative of 5*n + n + v*n**2 - n**2 wrt n.
4
Let y(j) = -j - 2. Let b be y(6). Let f = b + 14. Find the third derivative of 3*a**2 - 3*a**6 - 2*a**f + 2*a**6 wrt a.
-360*a**3
What is the third derivative of f**6 - 190*f**3 + 190*f**3 + 4*f**2 wrt f?
120*f**3
Let q(h) be the second derivative of -h**7/42 + 7*h**5/60 - 4*h**2 + 3*h. Let u(b) be the first derivative of q(b). What is the third derivative of u(x) wrt x?
-120*x
Let l = -7 + 10. What is the third derivative of -w**2 - w**2 - 3*w**2 + 4*w**2 + 2*w**l wrt w?
12
Suppose -a = 5*s, 2*s - 26 = -5*a + 3*s. Suppose -3*f + a*l = -5*f + 29, 4*f - 4*l + 12 = 0. Find the first derivative of -5 + 1 + f*x + 2 wrt x.
2
Let r(v) be the first derivative of 2*v**6/15 - 2*v**3/3 + 7*v - 2. Let u(m) be the first derivative of r(m). Find the second derivative of u(o) wrt o.
48*o**2
Differentiate 11*v + 11*v - 55 + 13*v + v**2 wrt v.
2*v + 35
Let d(g) be the first derivative of -g**5/5 + 5*g**2/2 - 5. What is the second derivative of d(w) wrt w?
-12*w**2
Let s(c) be the first derivative of c**8/56 + c**4/2 - 5*c - 10. Let u(y) be the first derivative of s(y). Find the third derivative of u(v) wrt v.
120*v**3
Let v(t) = -t**3 - 5*t**2 - 2*t - 6. Let r be v(-5). What is the second derivative of d + 6*d + 0*d + r*d**3 - 2*d wrt d?
24*d
Let x(o) be the first derivative of -3*o**5/5 - 20*o**3/3 - 13. What is the third derivative of x(l) wrt l?
-72*l
Let r(f) be the first derivative of 18*f**5/5 - f**2/2 + 16. Find the second derivative of r(b) wrt b.
216*b**2
Suppose t = 1 + 1. What is the third derivative of 4*n**t + n**2 - 7*n**3 + 13*n**3 wrt n?
36
Let c be 6/(-18) - (-26)/6. Let b = -2 + c. Let s(k) = 3*k + 7. Let p(d) = d + 3. Let h(y) = b*s(y) - 5*p(y). What is the derivative of h(j) wrt j?
1
Let n(v) be the first derivative of -3*v**5/5 + 6*v + 2. What is the derivative of n(x) wrt x?
-12*x**3
What is the third derivative of -r**6 + 25*r**2 - 45*r**2 + 24*r**2 wrt r?
-120*r**3
Let m(u) = 15*u**3 + 29*u + 8. Let t(l) = -10*l**3 - 19*l - 5. Let z = 2 - 7. Let f(g) = z*m(g) - 8*t(g). Find the second derivative of f(o) wrt o.
30*o
Let d(l) be the third derivative of l**5/15 + l**4/8 - 8*l**2. Find the second derivative of d(q) wrt q.
8
Let y = -4 + 6. Differentiate 2 - y*p**3 - 1 - p**3 with respect to p.
-9*p**2
Let c(t) = -7*t**3 + 13*t. Let l(f) = 8*f**3 - f**2 - 14*f. Let y(z) = 2*c(z) + 3*l(z). What is the second derivative of y(g) wrt g?
60*g - 6
Let h(f) = 36*f**4 - 6*f**2 - 41. Let t(x) = -108*x**4 + 17*x**2 + 122. Let l(d) = -17*h(d) - 6*t(d). Differentiate l(m) with respect to m.
144*m**3
Let q = -3 - 2. Let t be q/((-10)/(-4)) - -5. Differentiate -t*l + 2 + 2*l - l with respect to l.
-2
Suppose 5*y - 3 = 4*y. Suppose -2*x = 5*n - 14, 0 = 3*n - 0*x - y*x. Find the second derivative of -5 + n*c**2 + 5 - c wrt c.
4
Let y(g) = g**3 - 2*g. Let t be y(2). Find the second derivative of -t*o**3 + o - 3*o + 0*o wrt o.
-24*o
Let y(i) = -56*i**3 + 2*i**2 + 4*i - 9. Let t(q) = -168*q**3 + 7*q**2 + 12*q - 27. Let h(u) = 2*t(u) - 7*y(u). Find the second derivative of h(p) wrt p.
336*p
Let k be 2/5*(0 + -10). Let z = -2 - k. Find the first derivative of z*x + x**3 - 2*x - 1 wrt x.
3*x**2
Let u(x) be the third derivative of 0*x + 1/12*x**4 + 0 + 1/30*x**5 - 2*x**2 + 0*x**3. What is the second derivative of u(y) wrt y?
4
Let o(q) = q**3 - 3*q**2 - 2*q - 4. Let a be o(4). What is the third derivative of 11*u**2 + 141*u**4 - 146*u**a - 4*u**2 wrt u?
-120*u
Let c(m) be the first derivative of -2*m + 0*m**3 + 0*m**2 - 3/5*m**5 - 9 + 0*m**4. Find the first derivative of c(t) wrt t.
-12*t**3
Let x(h) = 16*h**5 - 26*h**2 - 2. Let r(n) = -32*n**5 + 53*n**2 + 4. Let g(t) = 2*r(t) + 5*x(t). What is the third derivative of g(y) wrt y?
960*y**2
What is the derivative of 0 - 3 + 0 + 6*z**2 - 7 wrt z?
12*z
Suppose -4 = -d - 2. Suppose -3*c + d = -2*c. Find the first derivative of 0*t + c + t**2 + 0*t wrt t.
2*t
Suppose 3*w + 5*l = 7, -5*l = -5*w + 26 - 1. Find the second derivative of -7*q + w*q**3 - q**3 - 2*q**3 wrt q.
6*q
Let p(q) be the third derivative of -q**6/10 + q**4/2 + 3*q**2. Find the second derivative of p(d) wrt d.
-72*d
Let t(a) = a. Suppose -3*z = -z + 4*n - 4, -11 = -3*z - n. Let x(o) = 5*o**2 + 4*o + 2. Let m(w) = z*t(w) - x(w). Find the first derivative of m(u) wrt u.
-10*u
Let p(g) = 6*g + 44. Let c be p(-7). Let s(t) be the first derivative of 2*t - 1 - 3/2*t**c. Find the first derivative of s(m) wrt m.
-3
Let s(b) be the second derivative of -b**9/15120 + b**7/1260 + b**4/12 - b. Let a(y) be the third derivative of s(y). Find the third derivative of a(t) wrt t.
-24*t
Find the third derivative of -7*l**2 + 6*l**2 + 12*l**2 + 10*l**6 wrt l.
1200*l**3
Let f(x) = 7*x**5 - 3*x**2 + 2*x + 2. Let u(t) = t**2 + t + 1. Let q(h) = -f(h) + 2*u(h). Find the third derivative of q(m) wrt m.
-420*m**2
Suppose 3*r + 2*r = 0. Let v be (-23)/(-7) + 10/(-35). Differentiate 3*c + r*c - v - 3*c - 5*c**3 with respect to c.
-15*c**2
Let j(m) be the third derivative of -2*m**5/3 + 47*m**3/6 + 6*m**2. Differentiate j(s) wrt s.
-80*s
What is the third derivative of 2*y**4 - 16*y**2 + 2*y**2 + 19*y**4 wrt y?
504*y
Let k(y) = 13*y**4 - 2*y**2 + 6. Let w(t) = -t**4 - t**2 - 1. Let h(q) = -k(q) - 6*w(q). Find the third derivative of h(p) wrt p.
-168*p
Let v(i) be the first derivative of -2*i**3 - i**2 + i - 4. Let h(n) = -19*n**2 - 7*n + 3. Let u(m) = -2*h(m) + 7*v(m). Find the first derivative of u(a) wrt a.
-8*a
Suppose 3*l - 15 = 0, 4*l - 2*l = -3*a + 34. Find the second derivative of a*n**4 + 5*n - 4*n - 2*n**4 + 3*n wrt n.
72*n**2
Find the second derivative of -27*n + 60*n - 13*n**2 - 7*n**2 wrt n.
-40
Suppose -22 = -3*v + 4*q, 2*v + 8 = -0*q - 3*q. What is the first derivative of -h**3 + 1 - 3 - v*h**3 wrt h?
-9*h**2
Let d(k) = -k + 1. Let j be d(1). Find the first derivative of j*i - 4 + 2*i + 0*i + 1 wrt i.
2
Let n(d) be the third derivative of d**10/5040 - d**6/180 - d**3/2 + d**2. Let p(s) be the first derivative of n(s). What is the third derivative of p(f) wrt f?
120*f**3
Let q(d) be the first derivative of -26*d**3/3 - 23*d - 24. What is the derivative of q(t) wrt t?
-52*t
Find the second derivative of 59*r**4 - 8*r + 3 + 7*r - 2*r - r wrt r.
708*r**2
Let x(b) = -7*b**3 - 11*b**2 - 12. Let p(n) = 2*n**3 + 3*n**2 + 3. Let d(k) = 22*p(k) + 6*x(k). Differentiate d(g) wrt g.
6*g**2
Find the second derivative of -11*j**2 - 20*j + 4*j**2 + 7*j**2 - 5*j**3 wrt j.
-30*j
Let t(k) be the second derivative of 2*k**7/7 - 7*k**3/3 - 27*k. Find the second derivative of t(c) wrt c.
240*c**3
Find the second derivative of -12*c**5 - 23*c - 4*c**5 - 2*c**5 - 5*c**5 wrt c.
-460*c**3
Let w(z) be the third derivative of -z**7/840 + z**5/40 - z**4/8 + 4*z**2. Let t(g) be the second derivative of w(g). Differentiate t(p) with respect to p.
-6*p
Let l(f) be the second derivative of f**6/20 - f**5/20 - 3*f**2 - 2*f. Let s(p) be the first derivative of l(p). Find the third derivative of s(x) wrt x.
36
Suppose -1 = m - 5. Find the second derivative of f**4 + 2*f + f**4 - 4*f**m wrt f.
-24*f**2
Let k(m) be the second derivative of m**9/1008 + m**6/120 + m**3/3 - m. Let b(n) be the second derivative of k(n). What is the third derivative of b(u) wrt u?
180*u**2
Suppose 20 = 4*s + 4. Suppose 5*a - 24 = -2*k, 0 = -s*k + 5*a - 10 - 2. Differentiate n**4 + n**4 - k + 0 with respect to n.
8*n**3
Suppose -4*l = -1 - 15. Let r be (-2)/7 - l/(-14). What is the first derivative of -4*x + r - 1 + 5*x wrt x?
1
Let f be ((-10)/(-15))/((-2)/6). Let y be (-8)/(-16) - 7/f. What is the first derivative of -c**y + 0*c**4 - 2*c**4 - 1 wrt c?
-12*c**3
Let q(l) = -19*l**2 - 9*l - 4. Let n( | {
"pile_set_name": "DM Mathematics"
} |
-1.
8*sqrt(7) + 1788
Simplify (sqrt(171) + sqrt(171) + 1 + sqrt(171) - (-1*sqrt(152))/sqrt(8) - (5 + 1*sqrt(475) + sqrt(475)))**2.
16
Simplify -3 + (1*((sqrt(3) - sqrt(75)) + 1))**2 - (sqrt(243)*-2*-3 + -3).
-62*sqrt(3) + 49
Simplify (sqrt(5) + sqrt(45)/(sqrt(9) + sqrt(18)/sqrt(2)) - (5 + sqrt(20)/sqrt(4)) - (sqrt(20)/(sqrt(4) - -2*sqrt(4)) - (sqrt(25)*3 - sqrt(25))/sqrt(5)))**2.
-65*sqrt(5)/3 + 1745/36
Simplify sqrt(190)/sqrt(360)*-2 - ((sqrt(171) + -3*sqrt(171))*-6)/sqrt(9).
-37*sqrt(19)/3
Simplify (-2 + -3*((sqrt(1331) - (-1*sqrt(1331) + -3)) + sqrt(1331)*-4*-3))**2.
10164*sqrt(11) + 2348005
Simplify (-6*(2 + sqrt(847)*-2*6)*-3*-6)**2.
-6158592*sqrt(7) + 1422681408
Simplify ((sqrt(396) - 2*sqrt(396)*-1) + 4)**2 + (((-2*sqrt(396) + sqrt(396))*3 + sqrt(396))**2 - ((sqrt(396)*2)**2 + -3)).
144*sqrt(11) + 3583
Simplify (3 + -1 + sqrt(28))**2 + -2 + (sqrt(1008)*2)**2.
8*sqrt(7) + 4062
Simplify (4 + sqrt(275) - (-3 + sqrt(11) + -2)) + (-3*(-2 + sqrt(891)))**2.
-320*sqrt(11) + 8064
Simplify 3*(-5*sqrt(684) + 4 - sqrt(684)*4*6).
-522*sqrt(19) + 12
Simplify -6*(sqrt(2) - ((sqrt(4) - (sqrt(64) - sqrt(4)))/sqrt(2))**2 - 1*sqrt(72))*-6.
-288 - 180*sqrt(2)
Simplify (-1*sqrt(1400)*1)/((sqrt(7) - sqrt(28)/sqrt(4)*4) + sqrt(7) + 2*(sqrt(63) - sqrt(7))).
-5*sqrt(2)
Simplify (2*sqrt(605) - sqrt(605))**2 - sqrt(80) - 1*(sqrt(5)*-1 + 2)**2.
596
Simplify ((sqrt(95) - -2*sqrt(95)*2)/sqrt(5) - (0 + sqrt(19) + -3 + sqrt(1900) + -1))**2.
-48*sqrt(19) + 700
Simplify (sqrt(38)/sqrt(2)*2 + sqrt(19) + -2*sqrt(2736) - (sqrt(304) + 1 - (1 + sqrt(19) + 3)))**2.
-144*sqrt(19) + 10953
Simplify (1*2*sqrt(1000))/(sqrt(200)*2 - 5*sqrt(8)).
2*sqrt(5)
Simplify 5*((sqrt(91) - (sqrt(91) + sqrt(91) + (sqrt(91) - -2*sqrt(91)) + sqrt(91) - sqrt(91)))*2 + sqrt(91) + sqrt(91)*2*4)/(-2*sqrt(343)*-2).
5*sqrt(13)/28
Simplify (sqrt(55)/(sqrt(44)/sqrt(4))*-1 - sqrt(25)/((sqrt(5) - -4*(sqrt(5) + sqrt(35)/sqrt(7))) + sqrt(5)))**2.
121/20
Simplify (sqrt(91)/(sqrt(7) + sqrt(14)/sqrt(2)*5))**2 - -5*1*sqrt(1053).
13/36 + 45*sqrt(13)
Simplify 1 + (-3*(2 + -3 + sqrt(396) + sqrt(396)*-2 + sqrt(396)))**2.
10
Simplify (3 + 1 + sqrt(832) + -1)*-6 + 3.
-48*sqrt(13) - 15
Simplify (2*(-5*sqrt(187)*1 + sqrt(187)))/(sqrt(275) - ((sqrt(275) - sqrt(275)*-1 - sqrt(275))*-3 + sqrt(275))).
-8*sqrt(17)/15
Simplify 4 + (((sqrt(150)*1 - sqrt(150))/sqrt(5))/((sqrt(42)*-2)/sqrt(7)))**2 + -1.
3
Simplify (sqrt(2268)*-1 + -5 - (sqrt(2268) - (-2 + sqrt(2268) - sqrt(2268))*-6))**2.
-504*sqrt(7) + 9121
Simplify ((sqrt(190) + sqrt(190)*4)*-3 + sqrt(190))/(-1*(sqrt(10) - 2*sqrt(10))).
-14*sqrt(19)
Simplify (sqrt(35)/(sqrt(5)*-1*6)*-5*5*-1)**2.
4375/36
Simplify ((sqrt(156) + 1*sqrt(156)*-1)*-5)/(sqrt(588) - -5*1*sqrt(588)).
0
Simplify (-4*((sqrt(1900) + 1)*2*5 + sqrt(1900)*-2 + -3 + -4))**2.
7680*sqrt(19) + 1945744
Simplify sqrt(42)/(sqrt(216)*-6) - sqrt(84)/(sqrt(12) + 2*sqrt(84)/sqrt(7) - sqrt(12)).
-19*sqrt(7)/36
Simplify 4 + ((sqrt(14)/sqrt(2) + 1)**2 + 2 - (sqrt(56) - (sqrt(56) - 2*sqrt(224)))/sqrt(8)).
-2*sqrt(7) + 14
Simplify -4*sqrt(605) + sqrt(50)/(4*sqrt(10) - sqrt(10) - sqrt(10)) + 1.
-87*sqrt(5)/2 + 1
Simplify (-1 + sqrt(252) + 3 + (sqrt(252) + -1)*-4)**2.
-216*sqrt(7) + 2304
Simplify -3 + (sqrt(17) - sqrt(612))*3 + sqrt(17) + -5 + 4 + -1.
-14*sqrt(17) - 5
Simplify sqrt(1088) + (sqrt(1088) + sqrt(1088) + 1)*6 + (sqrt(1088) + 1 - sqrt(1088)) + 0 + (sqrt(119)/sqrt(7) + 2 - (sqrt(17) + -1 + sqrt(17))*-3)**2.
90*sqrt(17) + 841
Simplify (6*(3 + (sqrt(475) + -1)*-4) + -2)**2.
-9600*sqrt(19) + 275200
Simplify ((sqrt(117) - (sqrt(117) - 4*-1*sqrt(117)))/sqrt(9) - (sqrt(832) + 5 + 1*sqrt(832)))**2.
200*sqrt(13) + 5225
Simplify -3*((sqrt(190)*-3 - sqrt(190))*-4)/sqrt(10) + -2.
-48*sqrt(19) - 2
Simplify (3*sqrt(2299)*-1 - ((-2*sqrt(2299) + sqrt(2299) - sqrt(2299))**2 + -5)) + (sqrt(2299) - (sqrt(2299) + 2*sqrt(2299)*-1) - (-1 + -1 + sqrt(2299)))**2.
-6888 + 11*sqrt(19)
Simplify ((-5*(sqrt(90)*-1 - sqrt(90)))/sqrt(10))/(sqrt(243)*2*-5).
-sqrt(3)/9
Simplify 6*sqrt(76)/sqrt(4) - (-2 + (sqrt(684))**2) - ((sqrt(19) + 0 + 2)**2*3 + -5).
-746 - 6*sqrt(19)
Simplify (-6*-1*sqrt(77)*4)/(-1*sqrt(7)*1 + (-1*sqrt(112) - sqrt(112))) + 4.
-8*sqrt(11)/3 + 4
Simplify (sqrt(2052)*5)/(sqrt(27)/sqrt(144)).
120*sqrt(19)
Simplify ((sqrt(96)*-5 + 1*(sqrt(96) - sqrt(24)))/(sqrt(96)/(sqrt(108)*-1)))**2.
2187
Simplify ((2 + sqrt(475))**2 - (-2*sqrt(152))/sqrt(8)) + -5*(sqrt(19) + 3*sqrt(19))**2*-1.
22*sqrt(19) + 1999
Simplify (5*(3 + sqrt(275)) + 1*(1 + sqrt(275)) + -5)**2.
660*sqrt(11) + 10021
Simplify sqrt(171)/(sqrt(324) + 2*sqrt(324) + sqrt(324)) - (-6*sqrt(1900)*2 - sqrt(1900))**2.
-321100 + sqrt(19)/24
Simplify ((3*sqrt(85)*-3)/(sqrt(240)/sqrt(3)))**2 + 2.
1409/16
Simplify 5 + (sqrt(343)*3 + sqrt(7) - (sqrt(700)*-1)**2) + -4.
-699 + 22*sqrt(7)
Simplify (sqrt(243) + sqrt(243) + (sqrt(243)*2 - sqrt(243))*1)/(1*sqrt(1089)*1 + sqrt(1089)).
9*sqrt(3)/22
Simplify (-1*3*-2*(sqrt(13) + sqrt(637))*-3)**2.
269568
Simplify -5 + -6*-4*(-1 + sqrt(704)) + 1 + 1.
-27 + 192*sqrt(11)
Simplify (-1*-1*sqrt(88))/(sqrt(72) + (sqrt(72) - (-1*sqrt(72) - sqrt(72)))).
sqrt(11)/12
Simplify (-3*(1*sqrt(121) - sqrt(121)) + 2*sqrt(121)*1)/(sqrt(55)/((sqrt(300)/sqrt(6))/sqrt(10))).
2*sqrt(11)
Simplify ((sqrt(396)*-1*-2)/sqrt(12))/(sqrt(132)/(2*sqrt(300))) + 5.
5 + 20*sqrt(3)
Simplify (sqrt(1440) - (5*(-2*sqrt(1440) + sqrt(1440) - sqrt(1440) - sqrt(1440)) - sqrt(1440)))/((sqrt(200) + sqrt(200) + sqrt(200)*-1)*-5).
-102*sqrt(5)/25
Simplify 0 + (sqrt(300)/((sqrt(30)*3)/sqrt(5)))**2.
50/9
Simplify -1*-5*6*(3*2*sqrt(156) + sqrt(156))/sqrt(12).
210*sqrt(13)
Simplify 0 + sqrt(396) + 4 + -3 + -5 + (sqrt(891) - (sqrt(891)*-2 + 4)**2) + sqrt(891).
-3584 + 168*sqrt(11)
Simplify -4 + (sqrt(637) + -2)**2 + ((sqrt(936)*-1)/sqrt(2))**2 + -2 + 2.
-28*sqrt(13) + 1105
Simplify (5*4*sqrt(88))/((sqrt(168)/sqrt(7))/sqrt(3)).
20*sqrt(11)
Simplify 2 + (sqrt(605) - (sqrt(605)*1 + 1))**2 + sqrt(605)*1 + 4.
7 + 11*sqrt(5)
Simplify (-3*(sqrt(448) + 0 + 4)*-3 + 1)*-5.
-360*sqrt(7) - 185
Simplify 1 + (-3 + (0 + sqrt(2448))*4)**2 + 2.
-288*sqrt(17) + 39180
Simplify -2 + (sqrt(17) - (sqrt(68) + -2)**2 - (sqrt(425)*4)**2).
-6874 + 9*sqrt(17)
Simplify 3*(-5 + -4*(0 + sqrt(1053) + sqrt(1053)) + (4*sqrt(1053)*2 - 6*(sqrt(1053) + 1)))**2.
3564*sqrt(13) + 114087
Simplify (sqrt(693)*2*-3 + sqrt(693) + sqrt(693))/(sqrt(44)/(sqrt(4)*-1)).
12*sqrt(7)
Simplify -4 + 3*(2*sqrt(3200))/(4*sqrt(10)*-3).
-4*sqrt(5) - 4
Simplify (sqrt(3200)*-2)**2 - (-3 + sqrt(1250))**2.
150*sqrt(2) + 11541
Simplify (sqrt(5) - ((sqrt(160) - sqrt(40))/sqrt(8) - sqrt(5))**2) + (1*sqrt(55))/sqrt(11) + (3 + sqrt(5) + sqrt(35)/sqrt(112))**2 + -5 + 2.
221/16 + 19*sqrt(5)/2
Simplify (5 + (sqrt(1700) - (-2*sqrt(1700) + 0)))**2 + 4.
300*sqrt(17) + 15329
Simplify (sqrt(2700) + -4*sqrt(2700)*-2)/(sqrt(18)/((sqrt(72)/sqrt(3))/sqrt(12))).
90*sqrt(3)
Simplify 5*((sqrt(66) + sqrt(66)*1 + sqrt(66))*6 + sqrt(66))/(-1*sqrt(48)/sqrt(8)).
-95*sqrt(11)
Simplify (sqrt(1375) + -1*sqrt(1375))/(sqrt(44)/sqrt(4)*-1).
0
Simplify (sqrt(512) + sqrt(512)*-2*-2 + sqrt(512))/(sqrt(64)*6 + (sqrt(4) - sqrt(256))).
48*sqrt(2)/17
Simplify ((sqrt(175) - ((-2*sqrt(175) - sqrt(175)) + -2))**2 + sqrt(175))*5 + (((1 + sqrt(175))*3)**2 - sqrt(175)) + (-3 + sqrt(175) + -1)**2.
470*sqrt(7) + 15795
Simplify (((sqrt(171) + sqrt(171)*-1 - sqrt(171)) + 0)*4 + -2 + sqrt(171) + 0 + 2 + 1 + sqrt(171))**2.
-12*sqrt(19) + 685
Simplify 2 + 4 + (sqrt(32) - sqrt(2)) - (2*sqrt(8)*2)/sqrt(4).
-sqrt(2) + 6
Simplify 4 + sqrt(153) + (sqrt(153) - (sqrt(153) + 0)**2) + sqrt(153)*-3*1.
-149 - 3*sqrt(17)
Simplify 0 + (((sqrt(24) - -1*sqrt(24)*-1) + sqrt(24))/(sqrt(648)*-1)*5)**2.
25/27
Simplify -4 + (sqrt(192)*-2*1)**2 - (-4 + sqrt(192) + 0 + -1).
-8*sqrt(3) + 769
Simplify (-1 + (sqrt(132) - -2*(sqrt(132) - sqrt(132)*-1))/(-1*sqrt(27)))**2 + 4.
20*sqrt(11)/3 + 1145/9
Simplify (((sqrt(130) + (sqrt(130) - (2*sqrt(130) + sqrt(130)) - sqrt(130) - sqrt(130)) + sqrt(130))*5)/(sqrt(10) - -1*-2*sqrt(10)) + 1)**2.
20*sqrt(13) + 1301
Simplify (2*sqrt(4)*6)/(sqrt(2) - sqrt(2)*1*5) + (sqrt(216)/sqrt(9))/((2*sqrt(30))/sqrt(10) + sqrt(3)).
-7*sqrt(2)/3
Simplify 4*sqrt(17)*5 + 2 + -5*sqrt(272)*-6.
2 + 140*sqrt(17)
Simplify 1 + (1*sqrt(6050))/((sqrt(640) + sqrt(40))/sqrt(4)).
1 + 11*sqrt(5)/5
Simplify (sqrt(2) - | {
"pile_set_name": "DM Mathematics"
} |
+ 4*u**3 - 3*u**3 - 3*u**2 + 30 + 32 - 2*u**4 + 27 to the form i + r*u**4 + w*u**2 + k*u + c*u**3 and give r.
-2
Express 45*z - 21*z + z**4 - 15*z**2 + 18*z**2 - 22*z + 48 in the form l*z**2 + y*z**3 + u*z + m + i*z**4 and give u.
2
Rearrange 34*u**3 - 132 - 117*u**3 + 85*u**3 to o*u**3 + k*u + l + r*u**2 and give l.
-132
Express 47*r - 41*r - 61*r + 2 in the form v + u*r and give u.
-55
Rearrange -16 - 19 + 15*y + 56 - 12 to x + i*y and give x.
9
Rearrange -16*a + 21*a - 215*a - 56*a to p + t*a and give t.
-266
Rearrange (-25273 - 267*o**2 + 25273)*(o + 2*o - 2 + 4) to the form j*o**2 + b*o**3 + s + n*o and give b.
-801
Express p**3 - 3*p**3 + 5 + 48*p - 47*p + (5*p**3 - 3*p**3 + 2*p**3)*(6 + 34 - 7) as g + a*p + i*p**2 + x*p**3 and give x.
130
Express 10*m - m + 0*m - 3*m - 24 - 9*m in the form l*m + q and give l.
-3
Express -274 - 159*c + 274 + c**3 + c**3 - 4*c**3 - c**2 in the form h + w*c + k*c**2 + r*c**3 and give r.
-2
Rearrange (1 - 1 + 3 - 7 + 3 + 0 + (0 - 3 + 2)*(-5 + 0 + 3))*(5*d - 40*d + 7*d) to the form l*d + q and give l.
-28
Rearrange -3 + 3 + c**2 + 108*c**2 + 10*c**2 + 47*c**2 + (-2*c + 4*c + 0*c)*(6*c - 3*c - 5*c) to l*c**2 + a*c + y and give l.
162
Express (-19 - 3 + 3)*(3*a**2 + 21*a**2 - 7*a**2) as g*a + s*a**2 + m and give s.
-323
Rearrange -118*n - 284*n - 490*n - 447*n + 150*n to the form y + k*n and give k.
-1189
Express (-3*r + 2*r + 2*r + (2*r + 3 - 3)*(-1 - 1 + 5))*(-3*r + r + 5*r)*(-11*r**2 - 2*r + 2*r) in the form t*r**2 + p*r + n*r**3 + d*r**4 + m and give d.
-231
Express 4 + 62*b + 204*b - 4 + 101*b as r + v*b and give v.
367
Rearrange 28 - 16 - 3*s**2 + 21*s - 21*s to the form w + m*s + k*s**2 and give k.
-3
Rearrange 39*c**2 + 6 + 120*c**2 - 4 to k*c + s*c**2 + q and give k.
0
Rearrange (3 - 3 + 2*d)*(3 + 2 - 4)*(9 - 49 + 0) to w + a*d and give a.
-80
Express 2*n**4 + n**4 - n**4 + (-73*n**2 - 62*n**2 + 56*n**2)*(25*n**2 - 3*n**2 - 9*n**2) in the form x*n**2 + i*n + s + l*n**3 + w*n**4 and give w.
-1025
Express -y - 23 - 3*y - 2*y + 26 in the form j*y + o and give j.
-6
Express -49*i**2 + 46*i**2 - 13 - 17 + 7 - 10 as y + f*i**2 + l*i and give y.
-33
Express 2 + 52*b**4 + 0 + b + 13*b**2 - 56*b**4 as a*b + s*b**3 + r*b**4 + y*b**2 + g and give g.
2
Rearrange 662*m**2 + 8*m**3 + 8*m - 1319*m**2 + 657*m**2 to f*m**3 + y + z*m + l*m**2 and give z.
8
Express (248*w**2 + 9*w**3 + 248*w**2 - 497*w**2)*(-3 + 5 + 0)*(-4*w + 3*w + 2*w) in the form x*w**4 + s*w**2 + k*w + z + t*w**3 and give t.
-2
Rearrange -43*l**2 + 2*l - 2*l - 3949 + 3*l**3 + 3952 to the form f + g*l**3 + t*l + j*l**2 and give j.
-43
Express -v**2 + 0*v**2 + 3*v**2 + (-3 + 3 + v)*(3*v - 3*v - v) - 987943 + 3264*v**2 + 987943 as x*v + p*v**2 + s and give p.
3265
Rearrange (m + m - 3*m)*(-830*m + 1724*m - 612*m) to y*m**2 + j*m + l and give j.
0
Rearrange (-517*d**2 - 1468 - 47*d**2 + 1470)*(-3*d + 3*d + 3*d) to the form h*d**2 + n*d**3 + i*d + r and give n.
-1692
Express -19*p - 9*p - 3*p + 16 - 13*p - 16 + (-4*p + 2*p + 0*p)*(3 + 1 - 2) as s + y*p and give y.
-48
Express 14*j - 9*j - 8 - 26 - 3*j as i*j + u and give u.
-34
Rearrange -75*z**2 - 60 - 77 + 148*z**2 + z - 118 - 71*z**2 to o*z + q + k*z**2 and give k.
2
Rearrange -152*m**2 + 44*m**2 + 1 - 6 - 6 + 5 to the form l + v*m**2 + p*m and give l.
-6
Rearrange 70*f**2 - 305*f + 102*f + 106*f + 101*f to w + g*f + c*f**2 and give c.
70
Rearrange 26*s - 15*s**2 + 0*s - 25*s to the form r*s + q*s**2 + g and give r.
1
Express -4*x - x**2 + 2*x + 3*x + 40 - 40 - 6*x**2 + (-1 + x + 1)*(0*x - 2*x + 4*x) - 6 - x**2 + 3 + 2 in the form i*x**2 + k + j*x and give i.
-6
Express 11*t**3 - 2*t**3 + 25*t**3 - 5*t**3 + 27*t**3 - 2 in the form r*t + f + u*t**3 + v*t**2 and give u.
56
Express (-r**4 - 2*r**4 + 2*r**4)*((-2 - 1 + 2)*(-10 + 0 + 0) + 0 + 5 + 0 + (0 + 5 - 3)*(-2 - 3 + 3)) in the form x*r**2 + a*r + q + l*r**3 + s*r**4 and give s.
-11
Rearrange (19 - 8*j - 19)*((7 - 1 + 1)*(3 - 3 - 1) + 4 - 1 - 1)*(-3 + 0 + 6) to a + m*j and give m.
120
Rearrange -3*r - 2*r**4 + 341 + 306 - 619 to the form m*r + j*r**3 + q + t*r**4 + h*r**2 and give t.
-2
Rearrange 3*r**4 - 1221 + 17*r**2 + 1221 + 5*r to the form y + m*r + d*r**3 + a*r**4 + p*r**2 and give p.
17
Express -38 + 48 + 198*q - 1499*q - 10 in the form l + h*q and give h.
-1301
Rearrange 385*o + 118*o + 380*o + (-4 + 2 + 3)*(-1 + 2*o + 1) to v + q*o and give v.
0
Rearrange -31 - w**3 + 4*w**2 + 2*w**4 + 10*w**2 + 0*w**4 - 10*w**2 to h*w + q + k*w**2 + y*w**4 + m*w**3 and give m.
-1
Express -27*l**2 + 28*l**2 - l**2 + 8*l + 9*l**4 + 2 - 2*l**3 in the form y*l**4 + t*l**3 + h + d*l**2 + o*l and give y.
9
Express 7*k**2 - 777*k**3 + 0 + 4*k**2 + 0 + 757*k**3 in the form b*k + o + p*k**2 + s*k**3 and give b.
0
Express (-z**4 - 3*z**3 + 3*z**3)*(392 - 627 - 735) as f*z**4 + j*z**3 + d*z**2 + m + s*z and give f.
970
Express (3*n + 2*n + 3*n)*(-2 + n + 2) - 47*n**2 - 16*n**2 + n**2 - n**2 - n**2 + 4*n**2 in the form v*n**2 + x + z*n and give x.
0
Rearrange -104*p + 19*p - 2 - 122*p - 109*p to the form j + h*p and give h.
-316
Express 20 + 20 + 26 - 139*t - 66 as w*t + s and give w.
-139
Rearrange 11 + 11 + 7*k + 4 - 2 - 4 to the form l + g*k and give l.
20
Rearrange (102 - 174 - 1143)*(-4 - 4*x + 4) to d*x + n and give d.
4860
Rearrange (24 - 74 - 65 + 13 + (-2 + 1 + 0)*(1 + 1 + 0))*(2 - 2 + 6*k**3) to the form v*k**3 + p + c*k + g*k**2 and give v.
-624
Express 2*u**3 + 3*u**3 - 8*u**3 + (3*u**3 - u**3 - u**3)*(-24 - 72 + 61) as n*u**3 + k*u + w + r*u**2 and give n.
-38
Express (0*n - 2*n - 4*n)*(5 + 0 - 7) + 5*n - 3*n - 3*n + n + 0*n + 0*n as d*n + k and give d.
12
Express (24*h - 24*h - 20*h**2)*(-2 + 2 - h) + 7*h**3 + 19*h - 19*h as z*h**3 + a*h + b + r*h**2 and give z.
27
Express -3*x - 10*x + 1 + 11*x - 77*x**2 + (2*x + 0*x - 4*x)*(1 - 1 + x) + 0*x + 0*x + x**2 in the form b*x**2 + q*x + w and give q.
-2
Express 6*g**3 + 23*g**2 - 70*g**2 - 4 + 26*g**2 + 3*g**3 + 22*g**2 in the form l*g**2 + t*g + z*g**3 + u and give l.
1
Express (-8*h - 9*h - 2*h)*(-4*h + 0*h + 2*h)*(-3 + 0 + 2)*(-1 + 1 - 2) as x*h**2 + z + a*h and give x.
76
Rearrange 81*o**2 + 3*o**2 + 31*o**2 + 20*o**2 to k + h*o + z*o**2 and give z.
135
Rearrange (-102 + 126*a + 102)*(7 - 6 + 8)*(0 + 0 + 6) to j + k*a and give k.
6804
Rearrange (-4 + 4 + 3*p)*(-11*p + 7 + 8*p - 1) to the form w*p**2 + c*p + n and give c.
18
Express -2*k - 3 + 3 + (-5 + 3*k + 5)*(2 + 3 - 3) + k + k - k + 4 - 2*k - 4 + 4*k - k + 10*k in the form u + o*k and give o.
16
Express 3*w**2 + 0*w - 8*w**3 + w**4 + 0*w**4 + 2*w**4 + w + 6*w**3 in the form v + d*w**2 + i*w + n*w**3 + m*w**4 and give d.
3
Express 9 - 3*m**2 + 5*m - 3*m - 14*m**2 + 20*m**2 in the form f + h*m + r*m**2 and give h.
2
Express -28*g + 8*g**2 - g**3 - 4*g**4 - g - 7*g**2 + 7*g**4 + 0*g**2 - 2 as t*g**3 + m*g + k + n*g**2 + w*g**4 and give m.
-29
Express -5*n - 87*n**3 + 7*n - 4*n as c*n**2 + i + t*n + q*n**3 and give q.
-87
Rearrange (-222 - 79 + 128)*(-h - 1 + 1)*(h - h - 2*h) - h**2 + h**2 - h**2 to v*h**2 + q*h + x and give v.
-347
Rearrange 0*f + 0*f + 3*f + (-3 + 3 + 1)*(0*f + 2*f - 4*f) - 4*f + 85*f + 61*f to r + d*f and give d.
143
Rearrange 6 - 3 - 3*r**4 + 9131*r + 15*r**2 - 9131*r to the form s + q*r + h*r**2 + g*r**4 + o*r**3 and give o.
0
Express (1 - 9*a**2 + a**2 - 86*a + 88*a)*(2*a + 15 - 15) in the form f + s*a**2 + y*a**3 + j*a and give s.
4
Rearrange (-2*x + 2*x - x + 5*x)*(146 - 17 + 102) to c + u*x and give c.
0
Express (40*m**2 - 15*m**2 + 9*m**2 + (2*m + 2 - 2)*(4*m - 2*m - 3*m))*(5 + 1 + 2) as y*m**2 + i*m + k and give y.
256
Express (139*w**3 - 11*w**3 - 72*w**3)*(-4*w + 0*w + 8*w) + (-1 + 1 - 2*w**3)*(2 + 0 - 3)*(0 + 0 + 4*w) as j + k*w**2 + y*w**4 + m*w + f*w**3 and give f.
0
Rearrange 16 + 0*l - 2*l**4 - 8 - 57*l**3 + 3*l**2 + 2*l - 5 to u*l**3 + w + t*l**2 + o*l**4 + x*l and give o.
-2
Express (3 + 10 + 1 + (1 + 1 - 1)*(-3 + 3 + 2) + 4 - 2 + 0 + 1 + 2 - 5)*(4 + 2*q**2 - 4) in the form k + z*q + j*q**2 and give j.
32
Rearrange (2079*m**2 - 4322*m**2 - 13 - 2*m + 2158*m**2)*(-1 - 1 + 1) to the form i*m + g*m**2 + l and give g.
85
Rearrange 17*b + 19 - 4*b - b**2 - 7*b + 0*b - b to the form t*b**2 + x*b + m and give t.
-1
Express 3*z**2 - z + 0*z - 4*z**3 + 2 + 7 + 5*z**3 in the form i*z**2 + y*z**3 + r*z + h and give r.
-1
Expr | {
"pile_set_name": "DM Mathematics"
} |
qrt(99)*-1))/sqrt(9)) - (2 + (sqrt(560)*-5 - sqrt(35))/sqrt(7)*-3).
-54*sqrt(5) - 2
Simplify -3 + (((sqrt(1008) - (2 + (sqrt(1008) - (sqrt(1008) + sqrt(1008) + -1 - sqrt(1008))))) + (sqrt(1008) + 0 + sqrt(1008))*-2 + 3)*-3 + -1 + 1)**2.
81645
Simplify -4*(sqrt(1377) + -4*1*sqrt(1377) - (sqrt(1377) + (1 + sqrt(1377))*6) - (4 + -3*sqrt(1377) + -5))**2.
-269992 - 2520*sqrt(17)
Simplify (6*(sqrt(176) - -1*sqrt(176)) + sqrt(176) + 1 + -3 + 1 + sqrt(176) + -4*sqrt(176) + -4 + 5 + 4)**2.
320*sqrt(11) + 17616
Simplify ((2*(sqrt(72)*-3 + -1) + -1 + 3*sqrt(32)*-4)*2)**2.
2016*sqrt(2) + 56484
Simplify (5*(-3 + -6*(sqrt(304) + -2) - (sqrt(304) + ((-1 + sqrt(304))*-3 - sqrt(304)))*-4))**2.
-75600*sqrt(19) + 2473425
Simplify (-3*(1*sqrt(1400) + sqrt(56) + sqrt(280)/(sqrt(20)/sqrt(4))))/(sqrt(40)/sqrt(5)*3 + sqrt(8) + -6*sqrt(8)*-3).
-21*sqrt(7)/22
Simplify (1 + (1*sqrt(128) + -1)*2*1*-1 + 0)**2.
-96*sqrt(2) + 521
Simplify (4*(sqrt(7) - sqrt(56)/(-3*sqrt(8) + sqrt(8)) - sqrt(7)*-2*3 - (sqrt(343) + -1 + -4 + -1)))**2.
96*sqrt(7) + 604
Simplify (sqrt(600)/(sqrt(972) + (sqrt(972) - 4*sqrt(972))) - (3 + sqrt(50))*6*-5)*-5.
-13475*sqrt(2)/18 - 450
Simplify 5*(5 + sqrt(1573) + sqrt(1573) + -2 + 5) + (4 + 5*(sqrt(1573) + sqrt(1573) + sqrt(1573) + 0) + sqrt(1573) + -5)**2.
-242*sqrt(13) + 402729
Simplify (((sqrt(76) + (sqrt(76) - (1*sqrt(76)*3 + sqrt(76))) - sqrt(76)) + sqrt(76))*6 - -5*-3*-2*sqrt(76))/(-3*1*sqrt(196) - sqrt(196)*-3*3).
3*sqrt(19)/7
Simplify -3*(-4 + -5 + (((-1 + sqrt(243))*-5)**2 - sqrt(243)) + sqrt(243) + 2*sqrt(243) + 0 + -2 + 5).
-18282 + 1296*sqrt(3)
Simplify (0 + sqrt(2) + 1 + 2 + 1*sqrt(162) + -5 + sqrt(4)/(sqrt(2) + sqrt(10)/(sqrt(10)/sqrt(2)) + sqrt(2)))**2*-2.
-3916/9 + 248*sqrt(2)/3
Simplify 3 + 5 + (-2*(1*sqrt(396) - sqrt(396)))/(sqrt(18)/sqrt(18)).
8
Simplify (5*-1*sqrt(132)*-6*4)/((sqrt(60) + (sqrt(2160) - sqrt(60)))/sqrt(5) + sqrt(84)/sqrt(7)*-5).
120*sqrt(11)
Simplify 6*(sqrt(99) - (sqrt(99) + -2) - sqrt(99)) + sqrt(99) + 1 + sqrt(99) + 2 - ((3 + sqrt(11))*-2 - (3*sqrt(396) + sqrt(11) - sqrt(11))).
21 + 8*sqrt(11)
Simplify -4 + (sqrt(7) - sqrt(448))*-5 + 0 + (5 + sqrt(343) + sqrt(7) - sqrt(7)) + (sqrt(7) - 1*(sqrt(7) + 3))**2.
10 + 42*sqrt(7)
Simplify 5*((3 + (1*sqrt(192) + -1 - sqrt(192)) + 3 + sqrt(192)*-6)*-4)**2.
-38400*sqrt(3) + 554960
Simplify (-3*(-3 + (sqrt(68)*-1*2 - ((sqrt(68) - sqrt(68)*-2) + 4)))*2 + -4)**2*1.
4560*sqrt(17) + 62644
Simplify (1*(-2*-1*sqrt(490) - sqrt(490)))/(-3*sqrt(80)*-1 + (sqrt(80) - (sqrt(80) + sqrt(80) + 5*1*sqrt(80)))).
-7*sqrt(2)/12
Simplify 3*(sqrt(57)/sqrt(48) + sqrt(19))**2*-4 + ((sqrt(950)/sqrt(2) - (-1 + sqrt(2736)))*-6)**2.
-504*sqrt(19) + 132783/4
Simplify ((sqrt(150) + 3*1*sqrt(150))/((sqrt(110)/sqrt(2))/sqrt(11)))/((1*(sqrt(80) + sqrt(80)*2))/(-1*sqrt(200))).
-20*sqrt(3)/3
Simplify -3*(-3 + sqrt(30)/(sqrt(72)/(-1*sqrt(12)))*-2)**2*6*-3 + -5.
-648*sqrt(5) + 1561
Simplify (1*(1*sqrt(224) + sqrt(224))*3)/(sqrt(2) - (sqrt(40) + sqrt(10) + sqrt(10))/sqrt(5) - sqrt(8)/(sqrt(12)/sqrt(3))).
-6*sqrt(7)
Simplify -4 + (sqrt(1700) + -1 + 0)**2*5 + (2*sqrt(1700) + -2 - sqrt(1700) - (5*(1 + sqrt(1700)))**2).
-34026 - 590*sqrt(17)
Simplify (-4*sqrt(95)*2 - 5*sqrt(95)*-2)/(2*(sqrt(180) + 6*2*sqrt(180))).
sqrt(19)/78
Simplify -4*2*(sqrt(1331)*-2*1 - sqrt(1331) - sqrt(1331) - (sqrt(1331) + 4)*-5)**2 + 1.
-13847 - 3520*sqrt(11)
Simplify ((sqrt(1088) - (-1 + -1*sqrt(1088)))**2 - (-3*(0 + sqrt(1088)))**2) + (5 + sqrt(153) - (sqrt(425) + -2)).
-5432 + 30*sqrt(17)
Simplify (4 + ((-2*sqrt(1584) + -3 + sqrt(1584) + sqrt(1584) - ((sqrt(11) + sqrt(11) + 1)*-1 - sqrt(99)/(sqrt(9) - (sqrt(9) - sqrt(144)))))**2 + -3)*5)*-4.
-4599/4 + 180*sqrt(11)
Simplify -5 + sqrt(192)*1 + sqrt(3) + (1 + 3*sqrt(3))**2 - (-3 + (-1*(sqrt(192)*-2 - sqrt(192) - sqrt(192)) - sqrt(192) - sqrt(192))*-1)**2.
-754 - 81*sqrt(3)
Simplify (4*sqrt(114)/(sqrt(6)*-2*2))**2*-4 - (-4*sqrt(228)*-1)/(sqrt(12) - 4*(sqrt(12) + -2*sqrt(12))).
-76 - 4*sqrt(19)/5
Simplify 2 + (2*(sqrt(832) + (sqrt(832) - (sqrt(832) - (0 + -1 + sqrt(832) + sqrt(832) + sqrt(832)))) + sqrt(832))**2 - (2*sqrt(832) + -1 + -3)**2) + 2.
-32*sqrt(13) + 38262
Simplify (((sqrt(126)*-1)/sqrt(3))/(-5*sqrt(6)*-1) - -4*(sqrt(1008) - 2*sqrt(1008)*2))**2.
3638887/25
Simplify (sqrt(468) + 3 + (sqrt(468) - (sqrt(468) + -1)) - (sqrt(468) + -1)*1)*-2 + ((4*sqrt(117)/sqrt(3))/sqrt(3) + sqrt(156)/(sqrt(108)*-4))**2.
27277/144
Simplify 5 + 2 + (-2*sqrt(91)*5)/sqrt(7) + -3 + (-4*(sqrt(1872) + 1))**2.
374*sqrt(13) + 29972
Simplify 1*(sqrt(11)*2*-1 - ((-1*sqrt(11) - sqrt(11)) + -2))**2 + (1*(sqrt(77) - sqrt(77)*1))/(sqrt(77)/(sqrt(22)/sqrt(2))).
4
Simplify (sqrt(126)/sqrt(3)*-1)/(sqrt(18)/sqrt(48)) + (sqrt(35)*-4)/sqrt(5) + (5*(sqrt(7) + sqrt(7)*4)**2 - sqrt(7)).
-9*sqrt(7) + 875
Simplify (-4*(sqrt(72) + 1) - sqrt(50)*-2*-3)**2 + ((-1*-3*sqrt(22))/(6*sqrt(22)/sqrt(2)))**2.
432*sqrt(2) + 11697/2
Simplify -5 + (sqrt(800)*-1*3)/(sqrt(16)/((sqrt(576) - (sqrt(576) + -1*sqrt(576))) + sqrt(576))).
-720*sqrt(2) - 5
Simplify ((sqrt(600) - 2*sqrt(600)*1)/(sqrt(12) + (sqrt(60) + sqrt(60)*-1)/sqrt(5)))/((sqrt(360) + 6*2*sqrt(360))*-5).
sqrt(5)/390
Simplify (0 + sqrt(288) + sqrt(288) + -1 + sqrt(288) + -3)**2 - (-3 + (-2 + sqrt(2) - sqrt(2)) - sqrt(22)/sqrt(11)*-2)**2.
-268*sqrt(2) + 2575
Simplify 2 + ((sqrt(1700) - (-3 + sqrt(1700))*-3 - (sqrt(1700) + -3 + sqrt(1700) + 4))*5)**2*5.
-50000*sqrt(17) + 862502
Simplify (-3 + (2 + (4 + -1 + sqrt(833) - (sqrt(833) + 2 + 3)**2))*5)*6.
-25608 - 1890*sqrt(17)
Simplify 1 + ((sqrt(2448)*1 + 3 + (sqrt(2448) - (sqrt(2448) + sqrt(2448) + -1)*-6 - sqrt(2448)))**2 - (4 + sqrt(2448) + -2 + -1)**2).
-960*sqrt(17) + 411273
Simplify (-3 + -1*(1 + sqrt(19)) - sqrt(76)/(sqrt(144)/sqrt(4) + sqrt(36)))**2 - ((sqrt(38)*-1)/sqrt(2) + -6*4*sqrt(19))*-5.
-347*sqrt(19)/3 + 1507/36
Simplify 1*(sqrt(1573) - (sqrt(1573) + sqrt(1573) + 0 - sqrt(1573))*-2)*-2 - (((1*-1*sqrt(1573) - sqrt(1573)) + 1)*-2)**2.
-25172 + 110*sqrt(13)
Simplify (sqrt(13) + 3)*4 + (sqrt(13) - (sqrt(637) + 0)) - ((sqrt(1053) + -2 - sqrt(1053))*-5 + sqrt(1053) + -1)**2.
-1122 - 164*sqrt(13)
Simplify (((-1 + sqrt(1700) - sqrt(1700)) + -4)*5 - (-3 + -1 + (sqrt(17) - (-5 + sqrt(68)/sqrt(4))))**2)*1.
-26
Simplify (-1*2*sqrt(99)*6*-2)/((sqrt(81)*1 + sqrt(9) + 1*sqrt(576))*6) + -2.
-2 + sqrt(11)/3
Simplify 5 + (-5 + -2*sqrt(1008)*-3*-6 + -5 + 0 + sqrt(1008) + -6*(sqrt(1008) + 1) + -5)**2.
20664*sqrt(7) + 1694894
Simplify -3*1*-5*(((-1 + sqrt(425))*5 - (-3 + sqrt(425)*-1)) + 2)**2 + 0.
229500
Simplify (4 + (2*sqrt(119)*-1 + -1*2*sqrt(119))/((-3*sqrt(672))/sqrt(6)) + 3)**2 + -4.
14*sqrt(17)/3 + 422/9
Simplify (((sqrt(171)*1*5)/(sqrt(324) - (sqrt(324) + 1*sqrt(324))) + -1*-2*sqrt(76)*-1)*-6 + -5)**2.
-290*sqrt(19) + 16004
Simplify ((sqrt(91) + 5*(sqrt(91) - sqrt(91)*1))/sqrt(7) - -1*(1 + sqrt(637)))**2 - (-1*(sqrt(13) + -1)*6 + (-2*sqrt(208) + -2)**2).
-10*sqrt(13) - 9
Simplify 4*(2 + ((-2*sqrt(80))**2*-5 - sqrt(80)) + (sqrt(80) + ((2 + sqrt(80))**2*-5 - sqrt(80)))*-1 + -2).
-4720 + 304*sqrt(5)
Simplify ((5*sqrt(243) - sqrt(243)) + sqrt(243))*1 + 2 + (sqrt(30)/sqrt(10)*-3)**2 + (sqrt(3) - (sqrt(363) + -2))**2.
5*sqrt(3) + 333
Simplify (5 + (sqrt(500) - ((sqrt(500) + 2 - sqrt(500)) + sqrt(500))) + 2 + sqrt(720) - sqrt(20)/(sqrt(324)*-3)*2)**2.
3260*sqrt(5)/27 + 549605/729
Simplify 5 + ((sqrt(75)*-3)/sqrt(5))/(-1*(sqrt(5) + sqrt(180)))*3.
9*sqrt(3)/7 + 5
Simplify -6*(4*(sqrt(300) - -1*sqrt(300))**2 - sqrt(300) - (-1*sqrt(300) + 1)**2 - (-5 + 0 + sqrt(300) + -4)**2).
-24708 - 1140*sqrt(3)
Simplify (5*(5*(sqrt(300) + -1)*-4 + 1 + -4) + -4)**2.
-162000*sqrt(3) + 3006561
Simplify ((((sqrt(70)*1)/sqrt(7) - sqrt(10))/sqrt(5) + -2)*-4)**2 - (-4 + (2 + sqrt(72))*4 + 2).
-24*sqrt(2) + 58
Simplify (4*-1*(-2*sqrt(156)*1 + sqrt(156)))/(3*-2*sqrt(1452)*-1).
2*sqrt(13)/33
Simplify -5*((sqrt(931) + sqrt(931)*1*-3)*-3 + 4 + sqrt(931)*-3 + 4) + 1.
-105*sqrt(19) - 39
Simplify (sqrt(77)*1*5 - -4*2*sqrt(77))/(sqrt(448)*1 + sqrt(7) + sqrt(7) + -1*sqrt(14)/sqrt(2)).
13*sqrt(11)/9
Simplify ((2*(-2 + sqrt(208)) - sqrt(208))**2 - sqrt(208)) + (1*(1 + sqrt(208)))**2 - (5 + ((3 + 0 + sqrt(208))**2 - sqrt(208) - sqrt(208))).
-44*sqrt(13) + 211
Simplify 4 + (-2*(sqrt(475) + 0 + -1))**2 - -2*(sqrt(76)*1 + 3 + 3)**2.
8*sqrt(19) + 2132
Simplify (-6*(sqrt(95) + | {
"pile_set_name": "DM Mathematics"
} |
3*w, 3*w - 2*t - h = 0 for w.
4
Let n be (-4)/18 + 8/36. Let v(b) be the first derivative of -b**3/3 + 2*b + 1. Let z be v(n). Solve -5*w + 25 = 5*g, -z*w - g + 5 = -0*w for w.
0
Let d(z) = -z**2 - 8*z + 4. Let a be d(-8). Suppose -1 = -v - 3*c, 1 = -0*v - v - a*c. Let b = v - 4. Solve 8*f = b*f - 5, -4*k = -5*f - 1 for k.
-1
Let u(i) = 1 + 4*i + 3*i - 2*i - 4*i**2 - i**3. Let m be u(-5). Suppose m = r - 2. Solve 0 = r*a, -4*g + 2*a + 5 = g for g.
1
Let t = -26 - -37. Let g = 9 + -5. Suppose a - t = 2*a - 4*o, 0 = 5*a + g*o - 41. Solve 0 = -5*f - a, -5*n - 4*f + 5 = -2*n for n.
3
Suppose -h = -q - 5*h - 18, 0 = 5*q - 5*h - 35. Let r = q - 0. Suppose -45 = r*x - 3*x. Solve o - 21 = 5*l, -2*o - 3*o - x = 5*l for o.
-4
Let d(s) = s**2 + s - 3. Let w be d(0). Let b be (6/(-4))/(w/40). Let i be (-5)/(-2)*88/55. Solve -4*l - b = -0*r - 2*r, 0 = -i*r + 16 for l.
-3
Let h be (-2 + -1)*17/(-3). Solve h - 7 = -5*d + 5*o, 6 = d - 5*o for d.
-4
Let y = 3 - 4. Let h(p) = -p**3 + p**2 + p + 1. Let d be h(y). Suppose 2 = -d*i + 6. Solve 28 = 2*q + 2*q - 4*t, -2*t = i*q - 2 for q.
4
Suppose -4*s + 2*s + 8 = 4*c, -4*s = 3*c + 4. Suppose -4*p + 8*p = -c*z + 72, -p = -2*z - 12. Solve t - 2 = l - 2*l, -4*l = -4*t + p for l.
-1
Suppose 4*c - 2*v - 56 = -4*v, 3*v + 7 = c. Suppose 17 + 28 = -5*b. Let q = c + b. Solve -5*d - 25 = 0, 2*k - q*d - 20 = -k for k.
0
Let t(n) be the third derivative of -n**4/4 - 7*n**3/6 - 6*n**2. Let m be t(-4). Solve 3*z = -4*y + 1, 2*y + z + m = -4*z for y.
4
Let x be 3*(4 + (-11)/(-3)). Solve -4*a - x = 5*z + 1, 2*z = -4*a - 12 for z.
-4
Suppose 0*s = s + z, 3*s - 5*z - 16 = 0. Solve 6 = s*o + 4*k + 24, -3*k - 6 = -o for o.
-3
Let l(c) = -c**3 + c**2 + c - 1. Let u be l(0). Let v be u + (4 - 3 - -2). Solve -6*j - 14 = v*h - 2*j, 0 = j + 1 for h.
-5
Let a be 9*(0 - 0 - -1). Suppose 2*v + a = -21. Let i be (-9)/(-27)*v/(-1). Solve -5*c - 30 = i*h, -h + 2*c = -3*c for h.
-5
Let c be -19 - -8*1/(-2). Let t = c - -23. Solve 3*b = 4*d - t*b, -3*d = 2*b for d.
0
Suppose 0*d = -2*d. Let h(k) = -2*k - 10. Let j be h(-8). Let f(m) = -m**3 + 7*m**2 - 5*m - 1. Let b be f(j). Solve -2*s + d*s = -3*o + 18, 23 = -s + b*o for s.
-3
Let v be 2/6 + (-24)/(-9). Solve 0 = 5*q + 2*j - 12, -v = -5*j + 2 for q.
2
Suppose 4*h - 21 = -1. Solve 0 = 5*l - h*v - 15, -5*l + 4*v - 3*v - 1 = 0 for l.
-1
Let g = 46 + -35. Solve 3*x + g + 8 = 2*q, 5*q = -3*x - 5 for x.
-5
Let i(q) = q**2 - 6*q + 1. Let g be i(8). Let r = 20 - g. Solve 0 = 2*o + 3*a + 4, -4*o - 8 = -4*a + r*a for o.
-2
Let d = -11 - -10. Let i = 4 + d. Solve i*p - 3 + 15 = 2*w, -3*w = -5*p - 20 for w.
0
Let s(t) = 2*t**2 + t - 2. Let u be s(-2). Suppose -4 = -4*b - z, 0 = u*b + z - 3*z + 8. Solve 12 = -4*n + 2*l, 0 = -b*l + 3*l for n.
-3
Suppose 5*x - 11 = 3*v - 5, 0 = -4*x + 4*v. Solve 16 = 5*i - i + 2*z, -x*i + z = -12 for i.
4
Suppose 6*a = 5*a + 2. Solve 3*u + 28 = 5*v, u - 3*u = a*v - 8 for u.
-1
Let a(z) = -z**3 + 6*z**2 + 6*z - 5. Let i be a(5). Solve -5*y - 2*n = 15, -6*y + y + 5*n = i for y.
-5
Let z(g) = 3*g**2. Let n be z(1). Let a(c) = c**3 - 5*c**2 + c - 3. Let w be a(5). Suppose 1 + w = x. Solve -t - n = -j, -t - 5*j = -x*t for t.
-5
Suppose -4*k - 3 = 1. Let w be 5 - ((-1)/k - -1). Suppose 5*z + 12 = 2*x - 3*x, -w*x - 3*z = 0. Solve g - i + x = -0, 0 = 5*i + 10 for g.
-5
Let c = 24 + -24. Suppose t = 3*w + 6 + 11, 2*w + 8 = c. Solve -a = -t, a + 7 = d + 2*a for d.
2
Let j be 2 - 2 - -2*1. Suppose j*w - 15 = -3*w. Suppose i + 1 - w = 0. Solve 3*t + 3 = -i*a, -5*a + 20 - 8 = t for a.
3
Suppose -3*a = -m - 2*a + 4, -2*a - 8 = 5*m. Suppose 0 = -m*p + 3*p - 6. Solve -5*d + 1 = -p*q, q - 1 = 4*d - 0 for q.
-3
Let y(z) = -4*z - 23. Let s be y(-7). Solve -r - 8 = 3*d + 4, s*d + 21 = -2*r for d.
-3
Suppose -2*f + 20 = -5*a, -4*f = -3*a + 5 - 17. Let g = -8 - -13. Solve -5*w + 10 + 0 = 0, -4*v - g*w + 6 = f for v.
-1
Suppose 11 - 36 = 5*i. Let p = i - -5. Suppose 2*z - z - 3 = 0. Solve -5 = -z*b + b - n, p = -n + 1 for b.
2
Suppose 0 = -3*a - 3*r + 12, a + a - 5*r = -20. Solve a = 3*o - 3, -4*o = -2*s - 3*s - 14 for s.
-2
Let c be -1 - 0 - 0 - -10. Suppose -5*h + c = -21. Let k = h - 4. Solve 3*r - k = b + 4*r, -2*b - 25 = -5*r for b.
-5
Let u = 28 + -23. Solve -u*l - 10 = o - 2*l, -2*o = 5*l + 16 for o.
2
Let k be (-34)/8 + (-2)/(-8). Let o(y) be the first derivative of y**3/3 + 5*y**2/2 + 6*y + 2. Let h be o(k). Solve -2*v = 3*v - 4*m + 17, -2*v + h*m = 8 for v.
-1
Let j be -9*-2*(-3)/(-9). Let h = 6 - j. Solve h = 4*k + 4*r + 12, 2*k = -2*k + r + 8 for k.
1
Let x(t) = -t - 2. Let l be x(-6). Solve 4*f = -4*g - 24, -g - 1 = -l*f - 0*g for f.
-1
Let s be (-21)/(-4) - (-2)/(-8). Solve 0 = -5*o + 4*g - s, 3*o - 2*o - 3*g + 1 = 0 for o.
-1
Let q(x) = -x - 4. Let r be q(-7). Suppose -4*i + 5 + r = 0. Solve -2*y = -2*a, -i*y = 4*a - 17 - 1 for y.
3
Let s = -2 - -1. Let x be (1/s)/(-1) + 1. Suppose 5*v = 46 + 29. Solve -5*w = -5*t - 4*w + v, -x*t = 4*w - 6 for t.
3
Suppose 4*k = 5*u - 23, -k - 17 = 2*u - 7*u. Suppose 3*l - u = 6. Solve 5*w - 19 + 8 = 2*o, 1 = 5*o - l*w for o.
2
Suppose 29*x - 4 = 28*x. Solve 0*c - 4*c - x*g = 0, 0 = 5*c - 4*g + 45 for c.
-5
Suppose -2*c = -3*c + 5. Let g = c + -5. Solve g = q + 2*m - 3, q - 3 = -0*q - m for q.
3
Let s be 15/25*(84 - -1). Let l be s/9 - 4/6. Let o(w) = 9*w + 1. Let f be o(1). Solve 5*t - 1 - 1 = h, l*h + f = 3*t for h.
-2
Suppose 3*g = 7 + 5. Let z(f) be the third derivative of -f**5/60 + 7*f**4/24 - f**3 - f**2. Let l be z(g). Solve -4 = 2*o, l*c + 4*o = 2*c - 12 for c.
-1
Let a be (39/(-9) + 4)*-21. Solve -l - 5*z - 6 = 0, z + 2*z + a = -4*l for l.
-1
Suppose -3 = -i - 5*n, 0 = 2*i - 0*n + 5*n - 11. Let o be (6/(-4))/(5/(-10)). Solve 0 = -4*l - 3*v + i, 3*l + o*v - 17 = -2*v for l.
-1
Let s be (-52)/(-10)*10/4. Suppose 0 = -2*l - 0*l - 5*o - 7, -l = -3*o - s. Solve 5*k - 31 = -4*f, -2*f + l*k - 7 = -3 for f.
4
Let j be (2 - 0)*(-87)/(-6). Let n = 3 - 3. Suppose -u + 0*u + 3 = n. Solve -u*m + 16 = r, -6*r + 2*r + j = 5*m for m.
5
Suppose 2*q + 3*q = -4*y - 9, 3*q = y - 19. Solve -4*u - 8 = y*k - 0*u, 3*k + 4*u = -7 for k.
-1
Let k(q) = q**3 - 10*q**2 + 8*q + 10. Let y be (-2 + 0 + 1)*-9. Let h be k(y). Let i = 1 - h. Solve 3*x + 18 = -5*r + 4, i = -2*r - 8 for x.
2
Suppose 0 = -2*d - d + u + 14, 3*d = -u + 10. Let m(k) = -k**2 + 14*k - 1. Let x be m(13). Let a = 31 - 1. Solve g = -2*p + x, 10*g + d*p = 5*g + a for g.
2
Let l be (-2)/(12/20 + -1). Suppose -3*x + 2*b = -2, 4*x - b - l = 6. Solve -5*p - x = -3*h, -p - 15 = -4*p - 4*h for p.
1
Let w = 17 - 15. Solve -3*t = 2*t - 25, -w*t = 2*x - 6 for x.
-2
Let r be (3 - -2)*8/8. Solve -15 = -u + r*k, 5*k + 40 = -u - 3*u for u.
-5
Let d(q) = -2*q - 15. Let i be d(-10). Suppose -6*y = -5*y - i. Solve 4*a = -y*x - 11, -x - 4*x - 20 = -5*a for x.
-3
Let m = 4 + 7. Solve 3*x + m = -d, 3*d = 2*x + 3*x - 5 for d.
-5
Let o(c) = 30 + 12 + 8 - c + 1. Let u be o(0). Let q = u + -24. Solve 13 = 3*m - 2*k, -2*k = 7*m - 2*m - q for m.
5
Suppose -5*y = -18 - 2. Let b be 36/(-16) + 1/y. Let u = b + 2. Solve -2*g - 1 = -w - 4, u = -3*g + 3*w - 3 for g.
4
Suppose 0 = -2*f + 5*f - 30. Solve 8 = 4*x + 5*p - 0*p, p - f = 2*x for x.
-3
Let c(l) = l**2 - 2*l - 1. Let w be c(3). Let a = 9 + -7. Solve 0 = -2*q - 4, -a*f + 5*q + 0 + w = 0 for f.
-4
Let t be (-7 + 5)*3/(-2). Suppose 2*n + 29 = -5*r, 3*n + 21 = -0*n - t*r. Let w be 0/(0 + -3 - n). Solve 5*i + 5*a + 10 = 0, w*a - 2*a - 4 = 0 for i.
0
Suppose 2*z + 25 = 7*z. Let b(s) = -s**3 + 4*s**2 + 7*s - 3. Let f be b(z). Solve -f - 20 = -u + 5*r, 0 = -5*u - 4*r - 10 for u.
2
Suppose -5*p = 1 - 21. Solve -2*b + 11 = -0*b - t, 0 = 3*b + p*t + 11 for b.
3
Let a(h) = 8*h. Let c be a(1). Let j = c - -3. Solve 5*z - 3*d + j = -9, 4*d = -2*z + 18 for z.
-1
Let f be (0 + 4 + 1)*1. Solve 4*y = p - 3, -5*y + 4 = -f*p + 19 for p.
3
Let j = 9 + -7. Solve -3*v = -2*q + j + 15, 4*q = 4 for v.
-5
Suppose 3*r - 2*x = -x - 7, 0 = 5*r + 3*x + 35. Let i be 0/(9/(-3)) - r. Let y = -2 + i. Solve -4*b = 4*k - b - 2, -y*b = 4 for k.
2
Let g(s) = s - 2. Let d be g(3). Solve 3*k - 12 = 3*u, -5*u = 4*k - 6 - d for u.
-1
Suppose 21 = 3*p - 12. Solve -2*d = x + p, 0*d + 4*x = 3*d for d.
-4
Let x be (24/(-20))/((-6)/20). Let t(n) = -n**3 + 6*n**2 - 3*n + 5. Let o be t(x). Solve d - 6*d - 30 = 5*j, -5*d | {
"pile_set_name": "DM Mathematics"
} |
nominator of w and (59/10)/((-14)/(-28)).
40
Let j = -6 + -1. Let l(k) = k**3 + 7*k**2 + 8. Let u = -1 + 4. Calculate the least common multiple of l(j) and u.
24
Suppose 0*a - 262 = -3*l + 2*a, -2*a + 82 = l. Suppose -3*b = -5*c + l, -18 = -2*c + 5*b + 24. Calculate the lowest common multiple of c and 20.
80
Let d(u) = -u**3 - 5*u**2 + 3*u - 4. What is the lowest common multiple of 8 and d(-6)?
56
Let v be ((-212)/(-9440))/((-6)/(-2152)). Let k = v - -8/177. Find the common denominator of k and 79/4.
20
Let d(s) = 0 + 8*s + 1 + s**2 - 11. Calculate the lowest common multiple of d(-10) and 3.
30
Let l = 6 + -8. What is the common denominator of l/(-12) - 539/33 and 27/10?
30
Calculate the common denominator of ((-1)/(-2))/(11/(-2)) and 3 + 13/(-14) - 2/4.
77
Suppose -5*h - 15 = -5*s, 2*h + 3 = s - 1. What is the common denominator of 83/4 and 0/s - 51/(-9)?
12
Let c = 31 + -21. What is the least common multiple of 20 and c?
20
Calculate the common denominator of (-183)/(-21)*(-28)/(-24) and 47.
6
Let t = 89/14 - -1. What is the common denominator of -3/10 and t?
70
Let j be (-3)/((-1836)/6819) - -2. Let n = 13235/4488 - j. Let q = n - 2/11. Calculate the common denominator of q and 51/4.
8
Suppose -r - 11 - 6 = -5*v, -2*v + 5*r - 7 = 0. Suppose -3*t = -v*t + 9. Calculate the smallest common multiple of t and 11.
99
Let q = -3 + 0. What is the common denominator of -87/8 and 963/(-189) + (-2)/q?
56
Let f = 2369 - 14135/6. Calculate the common denominator of -37/15 and f.
30
Let c(i) = i - 1. Let l(m) = m - 3. Let f(o) = 2*c(o) - l(o). Let u be f(3). Suppose 0 = -u*z - z + 35. What is the smallest common multiple of z and 7?
7
Let u = 632 + -9487/15. Calculate the common denominator of u and -53/33.
165
Let r = -624/5 + 123. Let u = 10997/9 + -1224. What is the common denominator of u and r?
45
Let l = 159 - 120. Calculate the lowest common multiple of l and 33.
429
Let q(r) = -2*r + 1. What is the smallest common multiple of 6 - (0 + (3 - -2)) and q(-1)?
3
Suppose 5*w - 31 + 11 = 0. Calculate the least common multiple of 6*(-2)/(-1) - w and 22.
88
Let p be 3/(-6) + 114/4. Suppose 0*z = 4*z - p. Suppose 0 = 4*u + z - 23. Calculate the least common multiple of u and 1.
4
Let y be (-1)/(-2) - 1/(-2). What is the common denominator of 2*(11/8 + y) and 23/9?
36
Calculate the common denominator of -117/10 and 105/40*36/15.
10
Find the common denominator of -11/12 and 6 + -3 - 131/20.
60
Let h = 14 - -19. What is the smallest common multiple of h/4*40/15 and 20?
220
What is the common denominator of (-100)/48*18/(-2) and -11/16?
16
Let b = -11 + -3. Let g be (92/b)/1 + 2. Let o = -411/28 + g. What is the common denominator of -63/2 and o?
4
Let m = -5 + 13. Suppose 4*i = b + 3 - 14, -13 = -b + 5*i. Calculate the smallest common multiple of b and m.
24
Let c = 1377/14 - 342/7. Calculate the common denominator of c and -83/4.
4
Let g(o) = o**2 + 2*o + 1. Let a = 1 - 5. Calculate the least common multiple of g(a) and 11.
99
Let l be 74/8*(-36)/(-3). Let m be -2 + ((-722)/l - 2). Let i = m - -1/222. Calculate the common denominator of i and -39/2.
2
Let b(k) = k**3 - 7*k**2 + 9*k - 6. What is the smallest common multiple of b(6) and 3266/207 - 2/(-9)?
48
Let v = -167089/18 - -9290. Suppose -2*r + 324 = 4*r. Calculate the common denominator of v and 87/(-2)*(-30)/r.
18
Let a = 13 + -11. Suppose 28 = 3*z + a*p - 6, -4*z - 4*p + 48 = 0. Calculate the lowest common multiple of z and 2.
10
Suppose -5*x + 51 + 99 = 0. Calculate the common denominator of 206/(-15) - (-12)/x and -57/4.
12
Suppose -2*l + 94 = 5*p - l, 0 = p - 2*l - 21. Let a = 40 - p. Let r = 35 - a. What is the least common multiple of 20 and r?
140
Let z = -57/7 + 9/14. Find the common denominator of z and (6/(-4) + 0)*6/(-144).
16
Suppose 0 = 7*q - 2*q - 20. Suppose -5*v - 1 = -q*v. What is the common denominator of -131/6 and (3/33)/v*20?
66
Suppose 0 = 3*h - 4*w - 20 - 10, 0 = -4*h - 2*w + 40. What is the least common multiple of 1 and h?
10
Calculate the least common multiple of 1 and (0 + -1 + -1)*(-11)/2.
11
Let g = -23/423 + 34627/30033. Let a = -5611/1420 - g. Find the common denominator of a and -145/6.
60
Let v(k) = -2*k**3 - k**2 + 7*k + 9. Calculate the least common multiple of 11 and v(-2).
77
Find the common denominator of -17/12 and ((-68)/(-2) + 1/(-2))*1.
12
Let n(m) = -m**3 - 12*m**2 + 9*m - 16. Calculate the smallest common multiple of n(-13) and 14.
252
Suppose -5*n - 4*b + 18 = 0, 13 = 3*n - 2*b - 11. Let g = 6 - 1. What is the lowest common multiple of g and n?
30
Let p be (9/(-6906))/(6/(-39515)). Let s = p - -2/3453. Find the common denominator of -49/22 and s.
132
Let t(y) = y - 3. Let f be t(6). Suppose -27 = 2*c - 5*q, f*c - c - 4*q + 24 = 0. Let w(o) = -5*o - 8. Calculate the smallest common multiple of w(c) and 18.
198
Let d(s) = -s**2 + 3*s + 9. Let r be d(-4). Let b = 27 + r. What is the smallest common multiple of b and 12?
24
Let a = -272221/20 + 13608. Calculate the common denominator of -17/32 and a.
160
Let v be 39690/(-3568) - (3 + -4). Let b = v + -1/892. What is the common denominator of b and -37/2?
8
Let t = 0 + 4. Suppose -3*w = 2*d + 3*d + 33, 3*d + 33 = -t*w. What is the lowest common multiple of 7 and w/(-2) + -1 + 2?
28
Let w(q) = q**3 - 3*q**2 + q - 1. Let d be w(3). Let s be d/(-8)*(-304179)/9. Let i = s - 8456. Calculate the common denominator of -11/14 and i.
84
What is the common denominator of (264/(-15) - -3)/(-4) and 67/60?
60
Suppose -2*b + 5*b + 15 = 0. Let d = -3 - b. Suppose -30 = -5*k + 8*h - 3*h, -d*k - h = 0. Calculate the least common multiple of 8 and k.
8
Find the common denominator of -99/20 and (-2)/(-9) - 551/90.
20
Let u = -6 - -4. Let a(b) = -b**3 - 2*b**2 + 2*b. Let d be a(-3). Calculate the common denominator of -5/9 and u/6 - d/(-2).
18
Suppose m = 6*m - 5. Calculate the smallest common multiple of 14/5*(-50)/(-20) and m.
7
Suppose 20 = 4*s + 2*l, 3*s + 0*l = -3*l + 21. What is the common denominator of (-2)/s*(-1566)/(-252) and -71/10?
70
Let k be -21 + -2 + 1/(-1). Calculate the smallest common multiple of 18 and (-3 - k) + -2 + 3.
198
Suppose -15 - 14 = -2*h + t, -5*t = h - 9. What is the lowest common multiple of h and 12?
84
Let m be 274/42 - 3/(-9). Let p be 0/(-2) + (-639)/84. Let u = m + p. Find the common denominator of u and 107/14.
28
Let q be (-1)/3 - (-39)/9. Suppose -x + 2*o + 28 = 4*o, -96 = -4*x - q*o. Calculate the smallest common multiple of x and (-1)/5 + (-33)/(-15).
20
Let w = 77267/11 - 7029. What is the common denominator of w and 41/6?
66
Suppose 10 = -4*x - 10. What is the common denominator of 27/4 and x/16*194/(-10)?
16
Let t(h) = -3*h**2 - 8*h - 5. Let q(d) = d**2 + d + 1. Let y(x) = 4*q(x) + t(x). Let o be y(5). Let j = o - 3. Calculate the lowest common multiple of j and 1.
1
Let v(j) = j**2 + 11*j - 26. Calculate the least common multiple of v(-14) and 14.
112
Suppose 0 = 3*r + 2*r. Let w = -17 + 27. Calculate the lowest common multiple of (r + -1*2)*-7 and w.
70
Suppose -5*a = -0*a - 240. Let i = 151/2 + -30. Calculate the common denominator of i and 0/(-2) - (-45)/a.
16
Suppose 5*p = 2*p. Suppose p = -h - 3, 6*y + h - 77 = y. Suppose t - 18 = -0. What is the least common multiple of y and t?
144
Let l(h) = h**2 - 7*h + 2. Let r be l(4). Let t = 24 + r. Calculate the least common multiple of t and 4.
28
Let a(m) = -m**3 + 6*m**2 - 4*m - 5. Let j be a(5). Suppose -z + j = -2. Suppose 0 = -6*o + z*o + 8. Calculate the lowest common multiple of 18 and o.
18
Find the common denominator of (246/(-4))/(15*-2) and -81/14.
140
Suppose 585 = 5*i - 1815. Let t = i - 66. Find the common denominator of 1/(-3)*t/8 and -26/5.
20
Let z(m) = m**3 - 12*m**2 + 20*m + 8. Suppose -5*v + 27 + 3 = 0. What is the lowest common multiple of z(10) and v?
24
Suppose 25*f - 17*f - 24 = 0. What is the lowest common multiple of 21 and f?
21
Calculate the common denominator of 19/2 and 10/36 - (3 - 4).
18
Let j = -5011/18 + 280. Find the common denominator of -61/9 and j.
18
Let l = 799/8 + -102. Calculate the common denominator of 131/6 and l.
24
Find the common denominator of (-166)/8 - 2/4 and (984/(-56))/(-2*(-5)/(-7)).
20
Let l = 25698/149 + -3378901/8940. Let k = -3256/15 - l. Find the common denominator of k and | {
"pile_set_name": "DM Mathematics"
} |
emainder when 6560 is divided by 1090.
20
What is the remainder when 4871 is divided by 47?
30
Calculate the remainder when 580 is divided by 87.
58
What is the remainder when 721 is divided by 56?
49
Calculate the remainder when 179 is divided by 52.
23
Calculate the remainder when 1419 is divided by 33.
0
Calculate the remainder when 390177 is divided by 130055.
12
Calculate the remainder when 2616 is divided by 4.
0
What is the remainder when 11224 is divided by 133?
52
What is the remainder when 2506 is divided by 43?
12
Calculate the remainder when 6366 is divided by 1585.
26
What is the remainder when 6772 is divided by 1337?
87
Calculate the remainder when 18257 is divided by 27.
5
Calculate the remainder when 87029 is divided by 44.
41
Calculate the remainder when 419013 is divided by 312.
309
Calculate the remainder when 11499 is divided by 1389.
387
What is the remainder when 49331 is divided by 209?
7
Calculate the remainder when 1205565 is divided by 21.
18
What is the remainder when 41151 is divided by 4110?
51
Calculate the remainder when 4296 is divided by 87.
33
What is the remainder when 429829 is divided by 213?
208
Calculate the remainder when 6813 is divided by 84.
9
Calculate the remainder when 13066 is divided by 132.
130
Calculate the remainder when 16975 is divided by 333.
325
Calculate the remainder when 5898 is divided by 62.
8
What is the remainder when 205155 is divided by 20?
15
Calculate the remainder when 26908 is divided by 18.
16
What is the remainder when 63102 is divided by 62966?
136
What is the remainder when 179207 is divided by 1236?
1223
Calculate the remainder when 17898 is divided by 7.
6
Calculate the remainder when 997 is divided by 229.
81
What is the remainder when 8009 is divided by 180?
89
What is the remainder when 358499 is divided by 118?
15
Calculate the remainder when 9701 is divided by 806.
29
What is the remainder when 2808 is divided by 38?
34
Calculate the remainder when 65199 is divided by 67.
8
What is the remainder when 1301632 is divided by 92?
16
What is the remainder when 22654 is divided by 15?
4
What is the remainder when 12031 is divided by 137?
112
Calculate the remainder when 437539 is divided by 13.
11
What is the remainder when 58345 is divided by 884?
1
Calculate the remainder when 17646 is divided by 104.
70
What is the remainder when 84223 is divided by 329?
328
Calculate the remainder when 120124 is divided by 877.
852
What is the remainder when 39763 is divided by 1981?
143
What is the remainder when 23572 is divided by 7826?
94
What is the remainder when 3371 is divided by 57?
8
What is the remainder when 1337254 is divided by 231?
226
Calculate the remainder when 9189 is divided by 22.
15
What is the remainder when 270225 is divided by 14?
11
What is the remainder when 24003 is divided by 286?
265
What is the remainder when 6581 is divided by 153?
2
What is the remainder when 3904 is divided by 229?
11
What is the remainder when 9623 is divided by 1922?
13
Calculate the remainder when 26333 is divided by 371.
363
Calculate the remainder when 16085 is divided by 27.
20
What is the remainder when 8603 is divided by 2147?
15
What is the remainder when 870 is divided by 39?
12
What is the remainder when 1002 is divided by 253?
243
Calculate the remainder when 80369 is divided by 92.
53
What is the remainder when 312735 is divided by 78181?
11
Calculate the remainder when 3472906 is divided by 1736449.
8
What is the remainder when 1234406 is divided by 1316?
1314
What is the remainder when 9694 is divided by 61?
56
Calculate the remainder when 16982 is divided by 37.
36
Calculate the remainder when 10286 is divided by 251.
246
Calculate the remainder when 209018 is divided by 61.
32
Calculate the remainder when 2184 is divided by 988.
208
What is the remainder when 43714 is divided by 34?
24
What is the remainder when 3971 is divided by 3210?
761
Calculate the remainder when 2358 is divided by 471.
3
Calculate the remainder when 33084 is divided by 269.
266
Calculate the remainder when 7737 is divided by 5941.
1796
What is the remainder when 265780 is divided by 22?
20
Calculate the remainder when 156169 is divided by 86.
79
Calculate the remainder when 25127 is divided by 25115.
12
What is the remainder when 620669 is divided by 373?
370
Calculate the remainder when 1606 is divided by 527.
25
What is the remainder when 1656 is divided by 210?
186
What is the remainder when 34105 is divided by 171?
76
Calculate the remainder when 5325 is divided by 5229.
96
Calculate the remainder when 42748 is divided by 14248.
4
Calculate the remainder when 3352 is divided by 1673.
6
What is the remainder when 2484 is divided by 1188?
108
What is the remainder when 349586 is divided by 129?
125
What is the remainder when 80164 is divided by 16030?
14
Calculate the remainder when 18625 is divided by 3103.
7
What is the remainder when 4031178 is divided by 49?
46
Calculate the remainder when 1294450 is divided by 353.
352
What is the remainder when 6018 is divided by 1408?
386
What is the remainder when 6416 is divided by 318?
56
What is the remainder when 2062 is divided by 2016?
46
Calculate the remainder when 221661 is divided by 221613.
48
What is the remainder when 218808 is divided by 54701?
4
What is the remainder when 19900 is divided by 108?
28
Calculate the remainder when 29426 is divided by 932.
534
Calculate the remainder when 9732 is divided by 486.
12
Calculate the remainder when 80463 is divided by 60.
3
Calculate the remainder when 11499 is divided by 3708.
375
Calculate the remainder when 29247 is divided by 276.
267
Calculate the remainder when 5737 is divided by 4986.
751
What is the remainder when 6125 is divided by 142?
19
Calculate the remainder when 669417 is divided by 4.
1
Calculate the remainder when 1012 is divided by 202.
2
Calculate the remainder when 5785 is divided by 1270.
705
What is the remainder when 12046 is divided by 3962?
160
Calculate the remainder when 2595 is divided by 111.
42
Calculate the remainder when 11479 is divided by 45.
4
What is the remainder when 24874 is divided by 29?
21
What is the remainder when 7621 is divided by 33?
31
What is the remainder when 245184 is divided by 20?
4
Calculate the remainder when 66050 is divided by 1159.
1146
Calculate the remainder when 49202 is divided by 43.
10
Calculate the remainder when 14806 is divided by 145.
16
What is the remainder when 78012 is divided by 55?
22
Calculate the remainder when 3573 is divided by 3559.
14
Calculate the remainder when 5998 is divided by 1972.
82
Calculate the remainder when 2748 is divided by 615.
288
What is the remainder when 43246 is divided by 8642?
36
Calculate the remainder when 2587 is divided by 74.
71
Calculate the remainder when 8799 is divided by 856.
239
What is the remainder when 4054177 is divided by 403?
400
Calculate the remainder when 221969 is divided by 154.
55
What is the remainder when 7971 is divided by 995?
11
Calculate the remainder when 10762 is divided by 128.
10
What is the remainder when 16829 is divided by 1684?
1673
Calculate the remainder when 16024 is divided by 356.
4
What is the remainder when 31241 is divided by 133?
119
What is the remainder when 12652 is divided by 330?
112
What is the remainder when 9970 is divided by 23?
11
What is the remainder when 4196 is divided by 186?
104
What is the remainder when 141132 is divided by 58?
18
Calculate the remainder when 557246 is divided by 485.
466
Calculate the remainder when 325 is divided by 45.
10
What is the remainder when 153450 is divided by 5683?
9
Calculate the remainder when 1292696 is divided by 34018.
12
What is the remainder when 5299 is divided by 5294?
5
What is the remainder when 461369 is divided by 1963?
64
What is the remainder when 6835 is divided by 245?
220
What is the remainder when 61078 is divided by 783?
4
What is the remainder when 224904 is divided by 202?
78
Calculate the remainder when 8925 is divided by 47.
42
Calculate the remainder when 6948 is divided by 3471.
6
Calculate the remainder when 7544 is divided by 167.
29
What is the remainder when 112916 is divided by 19?
18
Calculate the remainder when 228620 is divided by 10886.
14
What is the remainder | {
"pile_set_name": "DM Mathematics"
} |
e -4*v = 2*s + 10, -b*v + 5*s + 25 = -4*v for v.
0
Let a(f) be the first derivative of f**2 + f + 80. Let c be a(2). Solve -3*h - 16 = -2*l + 4, -c*l + 2*h + 28 = 0 for l.
4
Let r = -8851 - -8868. Solve 2*u - k - 9 = 0, 4*u + r = -4*k + 5 for u.
2
Let s be (-4)/6 - 34/(-6). Let p = -3059 + 3061. Solve -a + p*y - 12 = 0, -s*a - y = -2*y + 15 for a.
-2
Let s = 11 - 13. Let q be (744/(-36))/(s/(-3)). Let b = q - -34. Solve 2*l - 16 = -4*k, 5*l + 6*k - b*k = 5 for l.
-2
Let i be 172/36 - (-6)/27. Let t = 10 - 5. Suppose 5 = -c - g, 0*c = t*c - g - i. Solve u + 5*f + 9 + 7 = c, 36 = 5*u - 4*f for u.
4
Suppose -4*p = -6*p + 5*v + 31, -3 = -3*v. Suppose -p*h - 20*h = -152. Let s be (-1 - -4)*(-4 + 5). Solve -s*l = -0*i - 4*i + 8, l = h for i.
5
Let s = 33 - 31. Let l(q) = 6 - 2 + 54*q - 57*q + 3*q**2. Let t be l(s). Solve 4*o + 5*d = 14 + t, 3*d - 12 = 0 for o.
1
Let n be (-9)/((-81)/(-628)) - 6/27. Let r = 71 + n. Solve 0 = -q + r - 2, -3*q - 8 = 5*d for d.
-1
Suppose 6*q + 40 = 10*q - h, -4*h - 16 = 0. Suppose -q*b = 20*b - 58. Solve 0 = -b*z - 10, -v - 5*z - 27 = -5 for v.
3
Suppose 182*r - 146*r = 0. Solve -2*c + 8 = -a, r*c + 4 = c + 3*a for c.
4
Suppose 1170*a - 1174*a = 5*n - 94, 44 = 4*n - 2*a. Solve 11*f - 20 = 2*h + n*f, -8 = 2*f for h.
-4
Let q be 9 + 1 + -11 + 9. Let t = 6293 - 6285. Solve t = -5*f - 3*g, -3*f - g = 4*g + q for f.
-1
Let h = -34 - -110. Let v = h + -74. Let g be 2/(-16)*v + 4/16. Solve a + 5*p = g, 0 = 2*a - a - 3*p - 8 for a.
5
Let t = 47568 - 47560. Suppose -2*v - 5 = -7*v. Let n be v + (-2)/(2/(-3)). Solve 0 = -2*z - t, z = -0*h + 2*h + n for h.
-4
Let w(b) = 0*b**2 - 2*b**2 - 13*b + 8 - 2*b**2 - b**3 + 19*b. Let a be w(-5). Suppose 0 = -a*f - 38 + 44. Solve 0 = -f*p + 2*s, 5*s - 35 = -4*p + 2*s for p.
5
Let r = -328 - -328. Suppose -5*q - 2*c + 2 = r, 8 = -9*c + 7*c. Solve -2*i = -3*i - 4*v + q, -4*v + 10 = 5*i for i.
2
Let v(h) be the first derivative of -h**3/3 - 29*h**2/2 - 94*h - 71. Let k be v(-25). Solve -4*a - 7*u = -3*u + 32, -3*a + 3*u = k for a.
-5
Suppose -3*i + 67 - 21 = -5*k, -4*k + 60 = 2*i. Solve 4*l = -2*c, -55*l = 5*c - 56*l - i for c.
4
Suppose 108 = -11*k + 69*k - 124. Solve -3*p - 5*m = 2, -1 = 5*p - k*p + 2*m for p.
1
Let w(h) = -h**2 - 41*h - 338. Let d be w(-16). Suppose -88 = -d*z + 284. Solve 0 = -5*x - 2*f + 11, 2*f - z = 3*x - f for x.
1
Let s(x) = x**2 + 5*x - 3. Let v be s(-5). Let l be -2 + -4*(2 + v). Solve 21 = -5*q - 3*d, -2*d - 14 = 2*q + l*d for q.
-3
Suppose 0 = -3*v - 3, v + 60 = -2*c - v. Let w = c - -23. Let p be ((-18)/(-15))/(w/15*-1). Solve y + 2 = -p*r, -5*r - 6 = -y + 4*y for r.
0
Let q be (1*(0 - -2)/1)/(-99 - -100). Solve q*p - g + 10 = 0, -2*g + 4 = -p - 1 for p.
-5
Suppose 5*h = 2*y - 3 - 24, -5*h + y = 26. Let q be (h/(-15)*0)/1. Solve 0 = -4*p + 3*x + 17, p + 2*x - 8 + 1 = q for p.
5
Let m = -6118 + 6120. Solve -v = 5, m*v = 5*u - 31 + 6 for u.
3
Let t(y) be the second derivative of y**3/6 - 5*y**2/2 - y. Suppose -i + 5 = l - 4, 2*l - 26 = 2*i. Let h be t(l). Solve 4*c = -5*x + 7, c + 3*x - h = 1 for c.
-2
Let y(u) = -u**3 + 16*u**2 - 28*u - 1. Let i be y(14). Let j be i/(-4) + (-45)/(-12) + -1. Solve 3*g - 3 = 2*l, -5*g - 24 = -10*g - j*l for g.
3
Let z = 568 - 576. Let c be -5 + (z - -18) + -3. Solve -i = -c*k + 4 - 0, -2*i = -k + 8 for k.
0
Let d(z) = -z + 4. Let c be d(4). Let g be -1 - (-20 - (-13 + 9)). Solve 0 = 2*m + 2*i + 10, -m + g = -c*m - 4*i for m.
-1
Let f = -11623 + 11626. Solve 4*n = -5*y - 35, 0 = 4*y - n - f*n - 8 for y.
-3
Let o be (4 - 72)/(1*2/6). Let j = 209 + o. Solve 0 = -4*v + 2*s + 6, -4*v + s + j = -2 for v.
2
Suppose 99*d = 101*d - 4. Solve d*s - s = 4*w - 7, -3*s = -w - 1 for w.
2
Suppose -3*s - 2*z + 105 = 13, 0 = -s - 4*z + 34. Suppose -s = -23*f + 13*f. Solve -3*b + 4*u = 8, -u + 0*u + f = -b for b.
-4
Let k = 21 - -5. Let p = k - -4. Suppose -32*s + 8 = -p*s. Solve 0 = -s*j - 12, -j = -5*r - 0*j + 28 for r.
5
Let n(k) = -3*k**3 - 43*k - 44. Let u be n(-1). Solve -14 = -3*q - u*w, -4*q + 5*w = -57 + 69 for q.
2
Let x(g) be the first derivative of -g**3/3 + 17*g**2/2 - 39*g - 127. Let h be x(14). Solve 5*q = u, -h*q + 5*u + 16 + 6 = 0 for q.
-1
Let a = 27701 - 27632. Solve -4*u + 70*z - a*z - 17 = 0, 4*z = -5*u + 5 for u.
-3
Suppose 31*d = -12 + 74. Suppose -5*b + 2*o = -17, -18 = -3*b - d*b + 3*o. Let q = 1 + 0. Solve 19 = -5*z + b*f, 3*z = 2*f - q - 11 for z.
-2
Suppose -50 = 1380*u - 1382*u. Suppose -h + 1 = 0, 24*h = l + u*h - 17. Solve -5*m - 2*d = -l, 4*m + d - 19 + 8 = 0 for m.
2
Let p(f) = -26*f + 8. Let r be p(1). Suppose -2*o - 2*o + 80 = 0. Let d = r + o. Solve -d*v - 2 = k, -v - k - 6 = -3*k for v.
-2
Suppose 2*t = 2*f - 618, -3*f - 23 = 4*t - 936. Let b = 310 - f. Solve -2*k = 3*r, 0 = b*k - r + 6*r for k.
0
Suppose -20*r + 432 = 352. Solve -4*q - 4*a + 12 = 0, 3*q + a - r = -5 for q.
-2
Let a(x) = -x + 8. Let h be a(6). Suppose -134*w + 133*w + 268 = 0. Let l = w + -266. Solve 2*n - l = 4*s, -4*n = 5*s - h - 15 for n.
3
Let j(q) = 12 + 4 - q + 0. Let o be j(11). Let f = 119 + -117. Solve 0 = -5*x - f*r - 14 + 1, r + 14 = -o*x for x.
-3
Suppose -f + 319 = h + 4*f, h = -f + 319. Let g = h + -319. Solve c - 4*n + 19 = g, 6 - 16 = -2*n for c.
1
Let f(n) = -13*n - 1. Let k be f(-1). Let l = -782 - -780. Let y be ((-76)/57)/((-15)/(-9) + l). Solve 3*m - k = y*c - c, m = -5*c - 8 for c.
-2
Let j be 33 - 35 - (-4)/1. Suppose 1 + 1 = j*s. Solve 2*c + 11 = -3*t, 2*t - t + s = 2*c for t.
-3
Suppose 2*k + 4*o - 28 = 0, -121*k + 3*o = -116*k + 8. Solve -5*g - 3*v = -24, -k*g = -5*g - v + 12 for g.
3
Let k = 24817 + -24807. Solve 15 = 8*m + 5*z - k, -2*m = -3*z - 19 for m.
5
Let l be 10/65 - 89/(-13). Suppose -4*t + 1 = -l. Let a be (0*3/9)/t. Solve -2*y - 24 = 5*c, -y - 6 = c - a for y.
-2
Suppose -4*o = 3*v - 218, 3*o - 2*v + 52 = 4*o. Suppose -3*q + 3*h = 2*q - o, 0 = 4*q - 2*h - 46. Solve 5*r - 1 = -2*t, 4*t + q = 2*r + 3*r for t.
-2
Let o(h) = h**2 - 4*h - 13. Let l be o(7). Suppose 0 = 12*q - l - 52. Suppose -q*i - 27 = -6*i. Solve 6*r = r + n - i, 5*r - 3*n = -31 for r.
-5
Let g be (-4 + 2)/((96/18)/(-8)). Solve 14 = 6*v - g*v + 5*i, -2 = -2*i for v.
3
Let y = 252 - 236. Let p be 6/(-2)*-1 - 3. Suppose -2*m + 19 + 5 = p. Solve 5*v + l - 3*l = -y, 2*v + 2*l + m = 0 for v.
-4
Let f(w) = -161*w + 2259. Let t be f(14). Solve -6*a = t*o - a + 50, 2*a + 5 = o for o.
-5
Let w be (-10)/(-2) + (-7 - (2 - 8)). Let y be 4/1 + (-1 + w)/(-3). Solve 5*n - 19 = t, 4*n - 2 = y*t + 11 for t.
1
Let l be -1 + (-12)/(-8) - 808/(-16). Solve 50*j = 4*y + l*j + 8, 5*j + 4 = -2*y for y.
-2
Suppose -2*h - 3*w + 19 = 0, 93 = 4*h - 5*w + 88. Solve -2*j = -d - h, -3*j - 94 = 3*d - 79 for d.
-5
Suppose 3*l - 3 = 12. Suppose -2*v = 5*a + 20, -295*a + 291*a = -4*v + 16. Solve -4*s = 4*z + 16, 2*s + v*z + l*z + 5 = 0 for s.
-5
Let i = -15092 + 15118. Solve 4 = -5*r - 1, 4*f + 2*r = i for f.
7
Suppose 773 - 625 + 1308 = 28*q. Solve 2*j + 3*x = 10, 5*j + 13 = -q*x + 54*x for j.
-1
Let g be ((-6)/16)/((-1044)/8352). Solve -3*i + 3*r - 309 + 300 = 0, g*i + 5 = 4*r for i.
-7
Let u = 81 - 50. Suppose u + 11 = 14*s. Suppose 0 = -s*p - 10 + 25. Solve -3*y - 4 = -p*q - 0, -y - 6 = 3*q for y.
-3
Suppose 190 = -9*d + 28*d. Let s(q) = q**2 - 2*q - 1. Let x be s(3). Solve -4*u - x*y = -d, 4*y = u + y - 20 for u.
5
Let z = 65 + -61. Suppose -5*n + 4*n - 4 = 0, 0 = -z*i + n + 12. Solve 3*k - 43 = -5*t - 3, 0 = i*t - 10 for k.
5
Let l = -60 - -63. Let p = 9 + 9. Suppose -2*f - 12 = -4*a, 4*f - f - p = -3*a. Solve 7*v - a*v + j = 5, l*v - 3 = -3*j for v.
2
Suppose d = -7 + 12. Suppose -11*u = -7*u + 5*a - d, 2*a + 1 = -u. Solve 0 = -w - v - 5, -u*w + 4*v = v - 15 for w.
0
Let o be ((-70)/21)/((-50)/60). Let w(v) = 0*v - 6 + 0 + v - 2*v. Let a be w(-6). Solve 3*f = 2*k - 4*k - 1, 4*f - o = a for k.
-2
Let x be (-2 - (-142)/(-4))*144/54. Let v = x + 104. Solve v*d + a = 6*a - 22, -d = -a + 5 for d.
-3
Let b = -12127 - -12132. Solve -b*s = -2*u + 4, 2*s - 21*u + 16*u - 11 = 0 for s.
-2
Suppose 15*y - 2793 = -75*y - 543. Solve 2*x - 4*z - y = -7, 0 = 2*x + 5*z for x.
5
Let j be -1 + (-105)/(-91) - 76/(-13). Suppose j*v + 6 = 18. Solve y = -g + 2, -y - 2*g = -8 + v for y.
-2
Suppose -4*t = -5 - 11. Suppose -5*k + 6*k = t. Let o(y) = 86*y + 690. Let m be o(-8). Solve 5*u = -g + 19 | {
"pile_set_name": "DM Mathematics"
} |
s (c) 2 (d) -2/7
a
Let x be 55/(-132) - 2/24. What is the smallest value in 3/8, x, 0.5, 1/12?
x
Let q = -1097 - -1100. Let g = -4.9 + 5. What is the biggest value in g, q, 0.012?
q
Let i(w) = -w**2 - 16*w - 61. Let s = -52 - -45. Let o be i(s). Which is the second smallest value? (a) o (b) 0.1 (c) -23 (d) -5
d
Let p = 17725 + -17724.6. What is the fourth smallest value in 2/3, -1/4, p, 4, -0.1?
2/3
Suppose -5 = 5*s - 15. Suppose 27 = 3*u - 3*z, 2*u - 4*z + 10 = 24. Let f be 6/14 + (1672/(-28))/u. What is the biggest value in f, 2/11, s, 1/5?
s
Let d = -424.664 + 423. Let n = 0.064 + d. Let r = n + 6.6. What is the fourth smallest value in 2/9, r, -1, 1/9?
r
Let m = -1.9 + -0.1. Let u = -0.22 + 0.2629. Let n = 3.0429 - u. Which is the second smallest value? (a) m (b) n (c) -1/2 (d) -4/5
d
Let v = 985 - 982. Suppose -v*i = -542 + 557. What is the smallest value in i, 0.4, 3, 23?
i
Let s(i) = -3*i**3 - 5*i**2 + 46*i + 99. Let w be s(-3). Let v = 2 + -6. Which is the fourth smallest value? (a) w (b) 2 (c) v (d) -6
b
Suppose -879*h - 96 = -855*h. What is the biggest value in -0.4, 4, -30, h?
4
Let g = 34 + -31. Let w = 25/2 - 12. Let v = -345 - -342. Which is the biggest value? (a) -0.1 (b) w (c) v (d) g
d
Suppose b = 17 - 11. Suppose -5*v + 5*k - 30 = 0, -3*v + 2*k - 24 + b = 0. Let p be ((-3)/v)/(-5 + 2). What is the biggest value in 3, p, 0.3?
3
Let o = -16435 - -16431. Let v = -1 + 2. Which is the biggest value? (a) 2 (b) o (c) v
a
Let j = -0.1 - 0.1. Let m = -0.1 - j. Suppose 0 = -5*i - 2*x + 41, 3053*i - 3053*i + 2 = -x. Which is the smallest value? (a) i (b) -0.2 (c) m
b
Let j = -196.285 - -0.285. Let a = 201 + j. What is the second smallest value in -37, a, -4?
-4
Let r = -8400 - -8400. What is the third biggest value in r, 375, -2/17, -2?
-2/17
Let n = -39/55 - -10/11. Let p = n - 2/5. What is the third smallest value in 3, 2, p, -2/35?
2
Let p = -194/5 + 38. Let g = 0.1061 - 4.1061. Let s = 79/100 + -1/25. Which is the fourth smallest value? (a) g (b) 0 (c) s (d) p
c
Let j be (-79)/45 - (-1)/5. Let x = 6868.8 - 6869. What is the third biggest value in 1, x, j, -4?
j
Let v = 29 + -27. Let x be -2 + 2 - (-2)/12. Which is the smallest value? (a) 6 (b) v (c) -2 (d) x
c
Let f = -0.46 + 0.06. Let n = 0.574945 + -0.074945. Which is the smallest value? (a) n (b) -9 (c) f (d) 3/5
b
Suppose -30*o = -34*o + 16. Let c be (-385)/9 + ((-24)/27)/o. What is the second biggest value in 2, c, -4?
-4
Let l = -8919 - -8966. What is the fourth smallest value in l, -0.5, 3, -0.3?
l
Let m = -0.26 + 0.2561. Let j = 0.0239 + m. Which is the third smallest value? (a) 1.3 (b) j (c) 0.5
a
Let m = 4286 - 4228. Which is the third biggest value? (a) m (b) -0.2 (c) -17
c
Let s = -0.201 + 0.122. Let g = -5.079 - s. Which is the third smallest value? (a) g (b) -6 (c) -2
c
Suppose 12*w - 44*w + 64 = 0. Which is the third smallest value? (a) 46/7 (b) w (c) 3 (d) 4
d
Let w = 0.016 + 33.984. Let s = 33 - w. Let f = -2.2 + 2.5. Which is the third biggest value? (a) 4 (b) s (c) f
b
Suppose 22*z - 35 = 27*z, -2*m - 5*z = 31. What is the third biggest value in 837, m, 1/4?
1/4
Let a = 3.281 + -3.701. What is the third biggest value in a, -3/7, 2?
-3/7
Let j be 0/1 + ((-18)/(-117) - (-495)/78). What is the third biggest value in j, 6, 1/4?
1/4
Let j = 0.25 - -0.15. Let f = 0.3 + -0.6. Let t = -0.215 + 8.215. What is the biggest value in f, j, t?
t
Let h = -69.56 - -70. Let o = h + -0.84. Suppose -4*n = -16 - 32. What is the third biggest value in n, -4, o?
-4
Let q = -891 + 890.7. Which is the fourth biggest value? (a) 35 (b) q (c) 0.4 (d) 12
b
Let l = -0.9194 + -19.0806. Which is the smallest value? (a) 5 (b) l (c) 10
b
Let y = -114 - -58. Let g = y - -1062/19. Let i = -362.9 - -363. Which is the biggest value? (a) g (b) i (c) -0.14
b
Let x = -3591 - -3272.7. Let j = 318 + x. Which is the biggest value? (a) -1 (b) 0.12 (c) j
b
Let k = 8359 + -8359. Which is the third smallest value? (a) 1.63 (b) k (c) 3
c
Let j = 43.6 - 30.3. Let i = j + -12.9. What is the fourth biggest value in 2, i, -1/6, -5?
-5
Let y = -3.1 + 0.1. Let m(j) = -2*j**2 + 6*j - 2. Let w be m(3). Let g be (-35)/(-45)*w*(-1)/(-7). Which is the biggest value? (a) y (b) -2 (c) -5 (d) g
d
Suppose -35*m - 14124 = -12094. Which is the fourth biggest value? (a) m (b) -5/3 (c) 25 (d) -3/7 (e) 2
b
Suppose -3*w - 8 = -5. Let a be 7/(-15) + (-1)/3. Let l = -4.41 - -4.81. What is the second biggest value in l, 4/5, a, w?
l
Let d = 0 - 0.2. Let n = 416 - 504. Let m = n - -83. Which is the smallest value? (a) 5 (b) d (c) m
c
Let v = 5367 - 5367. What is the biggest value in 5, v, -0.2, -3?
5
Let d = -0.75 + 1.15. What is the fifth biggest value in -5, -0.07, -1, -3, d?
-5
Let u = 810.07 - 816. Let p = 5.93 + u. Which is the third smallest value? (a) 20 (b) p (c) -6
a
Let y(o) = -20*o**3 - 4*o**2 + 4*o + 10. Let j be y(-3). Let p = j + -508. Which is the third smallest value? (a) 3 (b) 4 (c) p
b
Let m = 93 - 92.43. Let q = -0.72 + m. Let z = q + 0.55. What is the third smallest value in -10, z, 5?
5
Let h = -7/13 - -36/91. Let q = 673181/7005 - 1/14010. Let a = q - 478/5. What is the third smallest value in a, 9/2, h?
9/2
Let n = -40 + 758/19. Let r = 272 + -272.127. Let t = r - -0.427. Which is the fourth biggest value? (a) -0.9 (b) n (c) t (d) 1
a
Let c be -4 - (-1212)/(-20) - 3/45*6. What is the fourth smallest value in 0.5, 0.1, 0, c, -0.2?
0.1
Suppose 2*w + 1 = w. Let i be (14/(-4))/(w/(-1 - 1)). Let h be (-10)/56 + 11/(-44). Which is the third smallest value? (a) -1 (b) h (c) i
b
Let t = 332 - 331.97. Which is the smallest value? (a) t (b) 150 (c) 0.5
a
Suppose 0 = 2*u - 4*v - 64, 3*u - 3*v - 3 = 84. Suppose 0 = u*q - 10*q. What is the smallest value in -1/6, q, -4, 1?
-4
Let w = -163 + 493/3. Let f = 0.5 + -0.5. Let g = 31401 + -31403. Which is the smallest value? (a) g (b) w (c) f
a
Let d = 14733.2 + -14736.3. Let h = 517/6 + -86. Which is the smallest value? (a) h (b) -10 (c) d
b
Let d = 31109/613578 - -2/6261. What is the third biggest value in 1, d, 4/3?
d
Let y = -1435 - -1430. What is the biggest value in 0.1, 0.2, -0.09, y?
0.2
Let m = -5875 - -5877. What is the third smallest value in -0.08, 8, 3, m, 0.7?
m
Let j = 23461/1425 + -398/25. Let u = j - 4/19. Which is the fourth biggest value? (a) 2 (b) -2/7 (c) 2/7 (d) u
b
Let r = 320 + -294.6. Let p = 24.4 - r. What is the biggest value in p, 1/258, -4?
1/258
Let f = -95.11723 - 0.04277. Let y = -95 - f. Let q = -5 - 0. Which is the third biggest value? (a) 1/7 (b) q (c) y
b
Let f = 5831/99 - 643/11. Which is the fourth biggest value? (a) 5 (b) 4 (c) -1 (d) -2 (e) f
c
Let v = -0.7382 + -3.2618. What is the biggest value in v, 0.3, 0.1182?
0.3
Let r = -39 + 37. Let k = 4.89 + 0.11. Suppose -4*w - 3*t + 2 = 0, 5*w + 9 = -4*t + 12. What is the smallest value in w, r, -0.4, k?
r
Let q be (-17 - -6) + (-171)/(-15). Which is the third biggest value? (a) 0 (b) -0.5 (c) q (d) 26
a
Suppose -15*i - 840 = 120. Let l be i/(-80)*(-5)/(-6). Which is the second smallest value? (a) -13 (b) l (c) 0.05
c
Let y = 7511/4 + -15009/8. What is the second smallest value in -0.2, y, 0.2, 5?
0.2
Let s = 2200.6 + -2201. What is the third smallest value in 13, s, -0.14?
13
Let t = 15.909 - 15.901. What is the third smallest value in -30, -3, t?
t
Let r be (147/98)/((-18)/(-4)) + 3/(-7). Which is the second biggest value? (a) r (b) -152 (c) -3
c
Let u(j) = -196*j + 174. Let g be u(4). Let q = 5488/9 + g. What is the second biggest value in 0.1, q, -2, -4?
q
Suppose -24*t - 9 - 63 = 0. Let i be t/(-6)*((-21)/6 - -4). Let l = 106/11 + -815/88. Which is the smallest value? (a) i (b) 1 (c) l (d) 0.4
a
Let s = -32433/8 - -4054. What is the second biggest value in s, -0.4, -87, 2/15?
s
Let j = -295.2 + 233.2. Which is the third biggest value? (a) j (b) 1 (c) -0.1
a
Let b = -155 + 680. Let f = b + -520. Let l = -7.9 - -0.9. What is the third biggest value in -3, f, l?
l
Let n = -24799 - -24823. What is the second biggest value in -0.5, n, 0.09?
0.09
Let p = -211.9495 + -0.0505. Let i = p + 206. Let n = 17 + -19. Which is the second biggest value? (a) 3 (b) i (c) n | {
"pile_set_name": "DM Mathematics"
} |
p = r - 31. What is p*i(t) - 5*o(t)?
3*t**3
Let t = 224233 + -224237. Let d(n) = -6*n. Let a(p) be the third derivative of 5*p**4/24 + p**2. What is t*d(v) - 5*a(v)?
-v
Let v(b) be the third derivative of -b**4/8 + b**3/3 + 2*b**2. Let k = -16 - -18. Let w(o) = -30*o + 63*o - o**k - 1 - 34*o. Calculate v(a) - w(a).
a**2 - 2*a + 3
Let d(f) = 993048*f**2 + 15456*f. Let n(w) = -8207*w**2 - 128*w. Give -4*d(m) - 483*n(m).
-8211*m**2
Let r(i) = -25*i**2 + i - 242. Let l(p) = -18*p**2 + p - 161. Determine -7*l(g) + 5*r(g).
g**2 - 2*g - 83
Let w(d) = 397*d**2 + 19*d - 49. Let j(n) = 199*n**2 + 10*n - 28. Calculate 7*j(f) - 4*w(f).
-195*f**2 - 6*f
Let n(q) = 23*q**3 + 35*q**2 + 60*q + 26. Let y(r) = -8*r**3 - 11*r**2 - 21*r - 9. Determine -6*n(l) - 17*y(l).
-2*l**3 - 23*l**2 - 3*l - 3
Suppose -19*b = 3*g - 16*b, b + 3 = 0. Let m(s) = -1 + g - 52*s + 53*s. Let y(f) = -4*f - 5. What is -7*m(o) - 2*y(o)?
o - 4
Let m(j) = j**2 - 8*j + 29. Let d(x) = -12*x**2 + 60*x - 204. What is -2*d(z) - 15*m(z)?
9*z**2 - 27
Let l be (-324)/405*(-15)/(-6). Let b(t) = 3*t**2 - 5*t + 5. Let c(d) = 15*d**2 - 26*d + 26. Give l*c(o) + 11*b(o).
3*o**2 - 3*o + 3
Let o(z) = -26*z**3 + 10*z**2 - 11*z + 71. Let i(q) = -q**2 + 7*q**3 + 40 + 0*q**2 - 12*q**3 + 3*q**2 - 2*q - 26. Calculate -11*i(f) + 2*o(f).
3*f**3 - 2*f**2 - 12
Suppose 37*t - 96*t = -23*t - 108. Let d(j) = -2*j + 19. Let r(w) = 3*w - 20. Calculate t*r(z) + 4*d(z).
z + 16
Let o(v) be the first derivative of 11*v**4/4 - 2*v**3/3 + 4*v - 313. Let p(d) = -21*d**3 + 4*d**2 - 7. Give 11*o(c) + 6*p(c).
-5*c**3 + 2*c**2 + 2
Let z(q) = -31*q**3 + q**2 - 5*q. Let m(f) = -5*f**3 - f**2 + 1. Let d(r) = -6*m(r) + z(r). Let o(a) = -a**3 + 6*a**2 - 4*a - 5. What is 4*d(g) - 5*o(g)?
g**3 - 2*g**2 + 1
Let x(o) = -6*o**3 + 112*o**2 + 20*o. Let v(r) = -2*r**3 + 37*r**2 + 6*r. Give -11*v(i) + 4*x(i).
-2*i**3 + 41*i**2 + 14*i
Let m(y) = -1. Let s(c) = 7. Let z(o) = 6*m(o) + s(o). Suppose 12 = -2*g + 4. Let r be (4/6)/((690/45)/23). Let t(v) = -2*v**2 + 4. Determine g*z(q) + r*t(q).
-2*q**2
Let u(f) = f**3 - f**2 + f. Let q(j) be the second derivative of -j**5/20 - j**3/3 - j**2 + j. Suppose 45*n - 1396 + 1306 = 0. Calculate n*u(c) + q(c).
c**3 - 2*c**2 - 2
Let z(q) = 3*q**2 - 5*q - 3. Let f(s) = 6*s**2 - 11*s - 6. Let l = -3912 + 3916. Calculate l*f(n) - 9*z(n).
-3*n**2 + n + 3
Let m(p) = -9*p + 27. Let c(b) = -10*b + 18. Determine -4*c(y) + 3*m(y).
13*y + 9
Let g(h) = 7*h + 4. Let l(u) = -9*u + 74. Let p be l(8). Suppose 0 = -2*d + p*b - 6, -d + 6*b - 10*b - 13 = 0. Let k(m) = -13*m - 7. Calculate d*g(c) - 3*k(c).
4*c + 1
Let b(x) = -7*x**3 - x**2 + x. Let z(c) be the first derivative of -c**4/4 + c**3/3 - 6518. Give b(a) - 2*z(a).
-5*a**3 - 3*a**2 + a
Let y(o) = 3*o + 8. Let v be ((-11429)/22 + 6)*(-1 + -1). Let x(d) = -v + d + 2056 - 1026. Calculate 7*x(j) - 2*y(j).
j + 5
Let s(n) = n**3 + n. Let c(i) = 2*i**3 - i**2 - i. Let y(p) = p**3 - 93*p**2 - 96*p + 187. Let x be y(94). Give x*s(r) - c(r).
-3*r**3 + r**2
Let h be 3 - 6*1/1. Let s = -1 - h. Let i(d) = d + 747 + 100 - 854. Let y(p) = 5*p - 29. What is s*y(m) - 9*i(m)?
m + 5
Let b(p) = -11*p**3 + 70*p**2 + 543*p. Let l(f) = 10*f**3 - 60*f**2 - 543*f. Determine -6*b(c) - 7*l(c).
-4*c**3 + 543*c
Let a(q) = 5*q**3 - 4*q - 5. Let f(r) = 17*r - 98. Suppose -v = c - 1 - 1, 0 = -2*c - 8. Let y be f(v). Let t(k) = -k**3 + k. Determine y*t(x) + a(x).
x**3 - 5
Let j(r) = -6*r**3 - 85*r**2 + 8*r - 30. Let f(d) = -3*d**3 - 57*d**2 + 5*d - 19. What is 8*f(m) - 5*j(m)?
6*m**3 - 31*m**2 - 2
Let n(t) = -1548*t + 1863. Let m(q) = 9. Determine 1242*m(l) - 6*n(l).
9288*l
Let c(t) = 1301*t**3 - 2*t**2 + 8. Let w(k) = 1299*k**3 - 2*k**2 + 7. Determine 5*c(v) - 6*w(v).
-1289*v**3 + 2*v**2 - 2
Let w(m) = 1134*m**2 + 1134. Let v(d) = 71*d**2 + 70. Calculate 81*v(i) - 5*w(i).
81*i**2
Let p(r) be the third derivative of -r**5/30 + r**4/24 + r**3/2 - 3*r**2 - 288. Let s(y) = -4*y**2 + 2*y + 5. What is 7*p(n) - 3*s(n)?
-2*n**2 + n + 6
Let i(k) = 19*k**3 + 31*k**2 - 35*k + 131. Let p(z) = -3*z**3 - 5*z**2 + 6*z - 22. What is 2*i(x) + 13*p(x)?
-x**3 - 3*x**2 + 8*x - 24
Let b(c) = -8*c**3 - 9*c**2 - 257*c + 75. Let u(p) = 2*p**3 + 2*p**2 + 64*p - 18. What is -2*b(s) - 9*u(s)?
-2*s**3 - 62*s + 12
Let x(y) = -2*y**3 - 3*y**2 + 3*y + 3. Let w be (-20075)/(-175) - (-4)/14. Let p = w - 110. Let i(n) = -3*n**3 - 5*n**2 + 5*n + 5. Give p*x(c) - 3*i(c).
-c**3
Let z(g) = -2*g + 2. Let v(i) = -5*i - 22. Let n be v(-5). Suppose 5*t - 17 = -n*p, 5*p = 7*t - 12*t + 15. Let x(s) = 1. What is p*z(u) - 2*x(u)?
2*u - 4
Let q(b) = b**3 + 20*b**2 + 18*b - 18. Let d be q(-19). Let n(o) = -1. Let m(c) = 14146 - 14137 + 3*c - c. Determine d*n(h) + m(h).
2*h + 8
Suppose -3*z = -3 + 6. Let k(g) = -5 - 12*g - 1 + 19 - 14. Let q(f) = -f - 1. Calculate z*k(y) + 3*q(y).
9*y - 2
Let m(z) = -6*z**3 - 10*z**2 - z. Let q be 234/(-468)*2*5. Let o(y) = -9*y**3 - 15*y**2 - y. Determine q*o(p) + 7*m(p).
3*p**3 + 5*p**2 - 2*p
Let s(j) = 40*j**2 + 29*j + 562. Let a(h) = -18*h**2 - 14*h - 286. What is -9*a(z) - 4*s(z)?
2*z**2 + 10*z + 326
Let f(o) = -3*o + 61. Let u(g) = -19*g + 189. Let k(h) = 191*h - 1851. Let z(y) = 3*k(y) + 31*u(y). What is -11*f(c) + 2*z(c)?
c - 59
Let h(a) = 21*a - 432. Let c(d) = 3*d - 63. Give 15*c(r) - 2*h(r).
3*r - 81
Let r(s) = -2*s**2 - 104*s - 21. Let n(i) = i**2 + 100*i + 18. Calculate -5*n(o) - 4*r(o).
3*o**2 - 84*o - 6
Let f(j) = 2*j**3 + 6*j**2 - 6. Let c = 554 + -549. Suppose -q + 0 = -c*l - 13, 0 = 2*l + 4. Let y(a) = 2*a**3 + 7*a**2 - 7. Determine q*y(t) - 4*f(t).
-2*t**3 - 3*t**2 + 3
Let d = 8 - 5. Let q(m) = -2*m**2 - m - 2. Let g(n) = 2735 + n**2 + 3364 - 6099. Give d*g(a) + q(a).
a**2 - a - 2
Let y(p) = 82*p - 84. Let s(z) = 1560*z - 1638. Let i(x) = -2*s(x) + 39*y(x). Let o(w) = -79*w. Determine 2*i(n) + 3*o(n).
-81*n
Let s(x) = 2*x**2 - 26*x - 3. Let b(q) = q**2 - 5*q - 1. Let j(r) = -4*b(r) + s(r). Let h(a) = a**2 + 5*a. What is 4*h(t) + 3*j(t)?
-2*t**2 + 2*t + 3
Let c(g) = 22*g**2 + 31*g + 6. Let x(d) = -45*d**2 - 68*d - 13. What is -7*c(v) - 3*x(v)?
-19*v**2 - 13*v - 3
Suppose -14*g = -18*g - 4. Let d(k) = 2*k**2 + k - 2. Let q(r) = 11*r**2 + 5*r - 12. Let v(a) = 6*d(a) - q(a). Let c(s) = -s**2 + 3*s + 1. Give g*c(y) + 3*v(y).
4*y**2 - 1
Let g(j) = 1060*j + 8. Let l(q) = -51942*q - 396. Give 99*g(r) + 2*l(r).
1056*r
Let v be 2/8 - 9/4. Let t(s) = -s. Let o(j) be the first derivative of -j - 6896. Determine v*o(x) - 2*t(x).
2*x + 2
Let i(s) = -s**2 - 2*s - 4. Let u(z) = z**2 - z + 1. Suppose 0 = -2*k - 3*f + 10, 2*k + 3*k = 5*f. Determine k*u(t) + i(t).
t**2 - 4*t - 2
Let u(g) = 456*g + 1. Let n(q) = -2716*q - 7. Give -8*n(k) - 49*u(k).
-616*k + 7
Let d(i) = 7*i**2 - 9*i - 3. Let z(c) be the third derivative of c**5/60 - c**3/6 + 7564*c**2. Determine -d(a) + 4*z(a).
-3*a**2 + 9*a - 1
Let w(b) = 8*b**3 + 6*b**2 + 3*b - 4. Let a be -9 - (0 - (-16 + 21)). Let z(p) = 8*p**3 + 5*p**2 + 2*p - 3. Determine a*z(l) + 3*w(l).
-8*l**3 - 2*l**2 + l
Let n(w) = -5*w**2 + 19*w - 7. Let j(b) = 18*b**2 - 56*b + 22. What is 2*j(m) + 7*n(m)?
m**2 + 21*m - 5
Let h(u) = -2*u**2 - 16. Let l(i) = 19*i**2 - 37*i + 45. Calculate -3*h(y) - l(y).
-13*y**2 + 37*y + 3
Let l be 0 + 4 + 18/(0 - 3). Let m(k) = 6*k + 9. Suppose 4*p - 3*v = v - 68, -21 = p + 3*v. Let q = 4 + p. Let r(a) = -a - 1. Give l*m(w) + q*r(w).
2*w - 4
Let y(l) = 9*l + 6. Let t(o) = -o. Let m(d) = 6*t(d) + y(d). Let p(b) = 2*b + 7. Determine 4*m(f) - 5*p(f).
2*f - 11
Let c(g) = -20*g**3 - 9*g + 1106. Let b(s) = 9*s**3 + 4*s - 552. What is 9*b(v) + 4*c(v)?
v**3 - 544
Let k(l) = 151*l - 272. Let f(s) = 152*s - 293. Give 13*f(w) - 14*k(w).
-138*w - 1
Let s(q) be the first derivative of q**3/3 - 7*q**2/2 + 5*q - 1339. Let w(l) = l**2 - 6*l + 4. Give 5*s(i) - 6*w(i).
-i**2 + i + 1
Let d(x) = -2*x**2 + 33*x + 199. Let o(f) = f**2 - 50*f - 198. Determine 3*d(q) + 2*o(q).
-4*q**2 - q + 201
Suppose 129*l = 135*l - 480. Let h = l - 77. Let u(v) = v**2 + 4*v - 6. Let c(t) = -3*t + 5. Calculate h*u(d) + 4*c(d).
3*d**2 + 2
Let t = -156 - -181. Let r(q) = 0 - t*q**3 + 1 - 24*q**3 + 53*q**3. Let g(b) = 6*b**3 - 4*b**3 - 3*b**3 + 0*b**3 + b**2. Calculate g(l) + r(l).
3*l**3 + l**2 + 1
Suppose -m = i + 1 + 1, -25 = 5*i. Let n(q) = -12 + 2 - 7 + m*q. Suppose -a + w = 19, -4*a | {
"pile_set_name": "DM Mathematics"
} |
**2)*(2*o - 1 + 1 + (3 - 2 - 3)*(o + 4*o - 3*o) + 2 + o - 2).
3*o**3
Expand (2 - 2 - 6*q)*(-2*q**3 - 3*q**3 + 6*q**3) + 2*q**3 - 2 + 0*q**3 - 3*q**3 - 2*q**4.
-8*q**4 - q**3 - 2
Expand (1 - 1 + 2)*(-9 + 7*t + 9 + (-3 + 5 - 3)*(0*t + t - 3*t)).
18*t
Expand (0*r**3 + 5*r**3 + 0*r**3)*(4*r - 4*r - 2*r).
-10*r**4
Expand -3*p + p + 0*p + (-1 - p + 0 - p)*(-3 + 0 + 1).
2*p + 2
Expand (3 - 2 + 2)*((-q + 4*q - 5*q)*(2 - 4 + 0) - q + 4*q - 4*q) - 1 + 2*q + 1.
11*q
Expand (-4*y - 2*y**2 + 0 + 0)*(2*y + 0*y - 3*y) - y**3 + 6*y**3 - 2*y**3.
5*y**3 + 4*y**2
Expand (d**3 - 3*d**3 + d**3)*(-4*d**2 + 15*d**2 - 6*d**2).
-5*d**5
Expand (-1 - 2*l**3 + 1)*((-3*l**2 + 3*l**2 - 3*l**2)*(0 + 2 - 4) - 5*l + 5*l + l**2).
-14*l**5
Expand (-w - 2*w - w)*(4*w - 4*w - 2*w) + (-4*w + 4*w + w)*(2 - 2 + w).
9*w**2
Expand -s - 3*s**3 + s + (-2*s + 2*s - s)*(2*s**2 - 2*s**2 + s**2) + 5*s**3 - 2*s**3 - s**3 + 4*s**3 - 4*s**3 - 13*s**3.
-15*s**3
Expand (1 + 0 - 2)*(-3*u**2 - 3*u**2 + 2*u**2)*(-2*u + u - u).
-8*u**3
Expand -4*l + l + 5*l + (-l + l - l)*(-6 + 1 + 3) + 0 + l + 0.
5*l
Expand (-3*p + 2*p + 0*p)*(-4 + 4 + 3*p**2).
-3*p**3
Expand (0*g + 2*g - 1 + 0*g)*(-12*g**2 + 4*g**2 - 3*g**2).
-22*g**3 + 11*g**2
Expand (5*b + 2 + b + 3*b)*(1 - 4 + 0).
-27*b - 6
Expand (-2 + x**2 + 2)*(-5 + 3 + 1 + (-1 - 2 + 5)*(-2 + 0 + 0)).
-5*x**2
Expand (2 + 3 - 4)*(-7*w - 2*w + 2*w).
-7*w
Expand (2*v + v - v)*(-2*v + 4*v + 0*v) + 9*v**2 + 49 - 49 - v + 2*v**2 + v.
15*v**2
Expand (-4*y**2 + 4*y**2 - 4*y**2)*(-5*y**2 + y**2 + y**2).
12*y**4
Expand (3*o - 3*o + o)*(99*o - 122*o - 2 + 0).
-23*o**2 - 2*o
Expand (0*h**2 + 3*h**2 - 4*h**2)*(2 - 3 + 2)*(-6*h**3 - 10*h**3 - 11*h**3) - h**5 - h**4 + h**4.
26*h**5
Expand 13*u**4 + 21*u**4 - 7*u**4 + 3*u**4 + u**4 - 5*u**4 + (4 + 0 - 2)*(3*u + 2*u**4 - 3*u) + 0*u**4 - u**4 + 3*u**4 + u**4 + 0*u**4 + 0*u**4.
33*u**4
Expand (483*k + 22 - 481*k + 11)*(-4 + 4 - 3*k**2).
-6*k**3 - 99*k**2
Expand (-2*n**3 - 2*n**3 - n**3)*(-n + 2 - 2) + 2*n**4 - n**2 + n**2.
7*n**4
Expand (4*v**2 - 2*v**2 - 3*v**2)*(-10*v**3 + 21*v**3 - 12*v**3 - 5).
v**5 + 5*v**2
Expand 3*n**2 + 3*n**4 - 3*n**2 + (2*n - 2*n + 2*n**2)*(4*n**2 + 0*n**2 - 2*n**2).
7*n**4
Expand (3*n - n - n)*(0*n - n + 0*n) + 2*n**2 + 0*n**2 - 5*n**2.
-4*n**2
Expand (13*j - 13*j - 32*j**2)*(-j**3 + j**3 - 4*j**3).
128*j**5
Expand 3*c + 4*c**4 - 3*c + (2 - 2*c - 2)*(2*c**3 - 3*c**3 - c**3) - 1 + 1 - c**4 + c**4 + 2*c**4 - 2*c**4.
8*c**4
Expand (0*w - w + 0*w)*(w**2 - 2*w**2 - 5*w**2)*(w + 4*w - 4*w).
6*w**4
Expand (0 - 4 + 2)*(4*w - 2 + 3*w - 27*w).
40*w + 4
Expand (1 - 2*f - 1)*(-5 + 0 - 3) - 2 - f + 2.
15*f
Expand (-2*f**4 - f**4 + 0*f**4)*(14*f + 8*f - f)*(-1 + 0 + 2).
-63*f**5
Expand (2*h + h - 2*h)*(1 + 1 + 31*h**4 - 27*h**4).
4*h**5 + 2*h
Expand ((0 + 0 + 2*g)*(-4*g + 4*g - 4*g**3) - 2*g**4 - 2*g**2 + 2*g**2)*(-g - 3*g + 3*g).
10*g**5
Expand (-3 + 3 + 7*h)*(3 - 4 + 4)*(0 + 2 - 1)*(1 + h - 1).
21*h**2
Expand (-7*j - 57 + 57)*(j - j - j**3).
7*j**4
Expand (-l + 3 - 2 + 0*l)*(2 + 0 - 4)*(1 - 2 - 1).
-4*l + 4
Expand (3*r**2 + r - r)*(7*r + r - 3*r).
15*r**3
Expand (4 + 4 - 5)*(4 - 4 - h)*(2*h**3 + 0*h**3 - h**3).
-3*h**4
Expand (-h + 4*h - h)*(0 + 3 - 2) + (-h - 6*h + h)*(1 - 4 + 4)*(-4 + 4 - 2) - 2 + 2 + h.
15*h
Expand (2*s - 5*s + s)*(-3 - 1 + 5) + (26*s + 35 - 35)*(2 - 5 + 5).
50*s
Expand (-x**5 + 0*x + 0*x)*(-2 + 5 - 4) + 4*x + x**5 - 4*x + 3*x**5 - 6*x**5 + 2*x**5 - 6*x + 6*x + 10*x**5 + (-x**4 - 5*x**3 + 5*x**3)*(0*x + 2*x + 3*x).
6*x**5
Expand -b**2 + 3*b**2 + b**2 - b**2 - 2*b**2 + 5*b**2 + (2 - 2 + 2*b)*(1 - 1 + 2*b).
9*b**2
Expand (-2 - 4 + 1)*(-6*b + 7*b**2 + 6*b).
-35*b**2
Expand (l - l - 2*l)*(-2*l + l + 3*l)*(1 - 1 + 1).
-4*l**2
Expand (-2*f - 2 + 2)*(f**2 - 1 + 1)*(-9*f**2 + 4*f**2 - 55*f**2).
120*f**5
Expand (0 - 1 + 3)*((-1 + 2 + 0)*(0*c - 2*c + 0*c) + (2 - 4 + 3)*(3 + 6*c - 3)).
8*c
Expand (27 + 11*h - 27)*(2*h**2 + 3*h**2 - 4*h**2).
11*h**3
Expand (0*v - v - v)*(-4 + 2*v**2 + 4) + 0*v**3 + 2*v**3 - 3*v**3 + 64 - 15*v**3 - 2*v**2 - 64.
-20*v**3 - 2*v**2
Expand (6 + 0 - 1)*(-1 - 1 + 1)*(3*p**4 - 9*p**4 + p**4).
25*p**4
Expand (c**2 - 3*c**2 + 0*c**2)*(-8*c - 11*c - 8*c).
54*c**3
Expand (-b - 11 + 11)*(-b + b**2 + b)*(1 + 2 - 1).
-2*b**3
Expand 1 - i - 1 + 0*i - i + 0*i + (-5 + 2 + 1)*(-4*i + 3*i + 3*i).
-6*i
Expand (44 - 32 - 34)*(-4*g + 2*g + 3*g).
-22*g
Expand (-2 + 5 + 3)*(2 - 4 + 0 + (2 - 4 + 3)*(-2 + 1 + 0) - 5 + 4 + 2 - 1 + 4 - 4)*(3*i**2 + 4*i**2 - 5*i**2).
-36*i**2
Expand (0*y + y - 3*y)*(2*y - 3*y + 0*y - 3).
2*y**2 + 6*y
Expand -5*m**2 + 4*m**2 + 2*m**2 + (2*m**2 + 3*m**2 - 3*m**2)*(2 - 4 + 0) - m + m - m**2.
-4*m**2
Expand (0*h**3 - 3*h**3 + 0*h**3)*(0 + 0 - 2*h) + (-45 + 6*h + 45)*(-3*h**3 + 6*h**3 - 2*h**3).
12*h**4
Expand (-k - 2 + 2)*(-38*k + 10*k**2 + 38*k) + 2*k**3 + k**3 - 4*k**3.
-11*k**3
Expand (-3*o - o + 2*o)*(5 - 2*o - 5)*(2 - 1 + 2).
12*o**2
Expand (-1 + 5 - 3)*(-2*o**2 + 4 - 4) - 3*o**2 + 2*o**2 + 0*o**2 + (-2*o + 0*o + 0*o)*(14 - 5*o - 14).
7*o**2
Expand (-6*a**3 - a**3 - 3*a**3)*(-7 + 3 + 0).
40*a**3
Expand -13*s**5 + 4*s**3 - 4*s**3 + 2*s**5 - 1 + 1 + (-3*s**2 + s**2 + 0*s**2)*(-s**3 + 1 - 1) - 2*s**5 + 6*s**5 + 0*s**5.
-5*s**5
Expand (4*s - 9*s + 3*s)*(-2*s**2 - 7*s**4 + 10*s**4 - 4*s**4).
2*s**5 + 4*s**3
Expand 2*c - 4*c - c + (1 + c - 1)*(0 + 2 - 1) + 2*c - c - 2*c - 3*c + 0*c + 5*c.
-c
Expand (-11*b**2 - 278 + 278)*(-2*b**2 - 2*b**2 + 2*b**2).
22*b**4
Expand (a + 3*a - 5*a)*(-a + 2*a + 0*a) - 2*a - 2*a**2 + 2*a + 2 - 6*a**2 + 2*a**2 + 2*a + 2*a.
-7*a**2 + 4*a + 2
Expand (4*x**2 + 15*x - 15*x)*(5*x**3 - x**3 - 3*x**3 + 2*x).
4*x**5 + 8*x**3
Expand (-11*m + 14*m + 95*m)*(0*m**3 + 0*m**3 - 2*m**4).
-196*m**5
Expand 3*u + 3*u - 5*u + (-u + 4*u - u)*(0 - 4 + 2) + u - 3*u + 3*u + (0 - 1 + 4)*(3*u - 2*u - 2*u).
-5*u
Expand (b**3 - 6*b**3 + 2*b**3)*(-83 + 3*b + 83).
-9*b**4
Expand z - 2*z**4 - z + z**4 - 5*z**4 + 2*z**4 + (2*z**2 - 3*z**2 + 2*z**2)*(2*z**2 + 0*z**2 - 3*z**2) + 3*z**4 - 18 - 2*z**4 + 22.
-4*z**4 + 4
Expand (-2 + 2 + 1)*(-s - 4*s + 2 + 4*s).
-s + 2
Expand 4*c - 4*c + c - 5 + 5 + 2*c + (0 + 1 + 1)*(-4 + c + 4) + 8*c - 17*c + 13*c.
9*c
Expand (-b + b - b)*(-17*b**2 + 1 - 3 + 18*b**2 - 7*b).
-b**3 + 7*b**2 + 2*b
Expand (5*i**3 - 5*i**3 + 16*i**3)*(-3*i - 2*i + 3*i) - 7*i**4 + 3*i**4 + 3*i**4.
-33*i**4
Expand (0*n - 2*n**3 + 0*n)*(-n - 2*n - 5*n + (1 - 4 + 1)*(2 + 2*n - 2)).
24*n**4
Expand (-2 - 2 - 7)*(2*a - a - 3*a)*((3*a + 0*a - a)*(3 - 2 - 3) + 1 - 1 - 2*a + a + 2*a - a).
-88*a**2
Expand 128 - 5*d - 66 - 58 + d + 3 - 3 + d + 3 - 3 - 2 + 2 + d + 1 - 1 - 2*d + (-3 + 1 + 1)*(-2*d + 0*d + 3*d) + 2*d - 2*d - d - 2*d + 3*d - 2*d.
-7*d + 4
Expand 2*o - 2*o - o**3 + (-4*o**2 + 3*o**2 - 2*o**2)*(5*o - o - 3*o) - o**3 + 0*o**3 + 2*o**3.
-3*o**3
Expand 4*g**5 - 3*g**5 - 2*g**5 + (-g**2 + 1 - 1)*(1 + g**3 - 1) + 4*g**5 - g**5 - 4*g**5.
-3*g**5
Expand (8*a + 9 - 9)*(0*a**3 + 2*a**2 + 3*a**3 + 4*a**2).
24*a**4 + 48*a**3
Expand -1 + 1 + h + (-3*h + h + 0*h)*(1 - 1 + 1) + 0*h - h + 0*h + 2*h + 0 + 0 + h - h + 2*h - 17 + 17 - 4*h.
-2*h
Expand (-m + 0*m + 4*m)*(-2*m + 0*m - m)*(-2 - 1 + 1).
18*m**2
Expand 0*t**2 + t**2 + 6*t**2 + (0 - 2 + 0)*(-5 + 5 - 2*t**2) + (-2 + 2 - 2*t)*(2*t + 4*t - 7*t).
13*t**2
Expand (g - 2*g + 2*g)*(2 - 2 - g) + 10*g**2 - 27*g + 27*g.
9*g**2
Expand (4*i + 0*i - 6*i)*(-i - 2 + 2)*(-11 - 22 + 1).
-64*i**2
Expand 0*r + 0*r + 2*r**2 + (-2*r - 3*r + 2*r)*(-5*r + 2*r + r) + (r + r + 0*r)*(-2*r + 0*r + r) - 3*r**2 + r**2 + 0*r**2 + 3 + r**2 - 3.
5*r**2
Expand (-o + 0*o - o)*(-3 + 111*o + 11 - 8).
-222*o**2
Expand (6*q + 8*q - 20*q - 2)*(2*q**4 + 0*q**4 + 0*q**4).
-12*q**5 - 4*q**4
Expand 2*r**3 + 3*r**2 - 3*r**2 + (0*r**2 - r**2 - r**2)*(33*r - 15*r + 1 - 10*r).
-14*r**3 - 2*r**2
Expand (3*h + h - 2*h)*(2 - 1 - 2)*(-2 + 2 - 2) - 2 + 2 - h + (-4*h + h + h)*(5 - 5 - 2) - 3 + 3 + 2*h.
9*h
Expand -3*a**4 - a**4 - 3*a**4 + (-3 + 3 + 2*a)*(4*a**3 - 3*a**3 - 3*a**3) - a**4 + 2*a**4 + a**4 + a**4 - 3*a**4 + 3*a**4 + (1 + a**3 - 1)*(-2*a + 1 - 1).
-10*a**4
Expand (4*v - v - 4*v)*(0*v**2 - v**2 - v**2) + (-5*v + 5*v - 3*v)*(1 + 3*v**2 - 1).
-7*v**3
Expand (-19 - w + 19)*(2 - 2 + 1)*(3*w**2 - 2*w**2 - 4*w**2).
3*w**3
Expand (3 - 2 - 2)*(2*f - 6 + 6)*(5*f - 5*f + 4*f).
-8*f**2
Expand (6*z - 12 + 12)*(-3 + 2 + 2).
6*z
Expand -n**2 - n**3 + n**2 + (-4*n + 2*n + 0*n | {
"pile_set_name": "DM Mathematics"
} |
site?
True
Let k(x) = -x**3 - 3*x**2 + 5*x - 14. Let a(d) = -2*d**3 - 9*d**2 + 14*d - 41. Let w(r) = -4*a(r) + 11*k(r). Let z be w(6). Let o = z - -795. Is o prime?
False
Suppose -13*h + 14742 = -19*h. Let b = 33428 - h. Is b prime?
False
Is ((-4)/((-32)/1105400) - 5) + 9 a composite number?
False
Suppose 5*y + u = 14867433, -y + 1036361 = -3*u - 1937100. Is y prime?
False
Is (4 + -4 - -1151)*10/2 a prime number?
False
Let t be (24/20)/(-1)*(26 - 1). Let h be (-24)/t + 52/10. Suppose -4155 = h*b - 9*b. Is b prime?
False
Suppose -58027781 = -823*p + 53*p + 95604929. Is p prime?
True
Let y(r) be the second derivative of 1/20*r**5 + 1/3*r**3 + 19/12*r**4 - 3/2*r**2 - 24*r + 0. Is y(-16) a composite number?
False
Let y(g) be the first derivative of 2*g**3/3 - 4*g**2 + 8*g + 15. Let h be y(2). Suppose 5*i - 2*n - 9121 = h, -5*i + 9130 = -3*n - 2*n. Is i a prime number?
True
Let o be 4/26 - (170114/(-26) - -4). Let t = -4498 + o. Is t a composite number?
True
Let o(s) = 2*s - 25. Let r be o(15). Suppose j + r*m = -41, -7 = -4*j - 5*m - 156. Is -1749*((-4)/j)/(1/(-3)) composite?
True
Suppose 86896211 = 172*r + 29035927. Is r a composite number?
False
Let k be (-5)/((-5)/2) - (13 - 81931). Let u = k + -49279. Is u composite?
True
Let t = -105394 - -324773. Is t prime?
False
Let v(l) = -91*l**2 + 662*l**2 + 710*l**2 - 1 - 237*l**2. Let x(y) = -y**3 + 9*y**2 - 10*y + 15. Let c be x(8). Is v(c) a composite number?
True
Is -3 + ((-5399780)/(-3) - (-5)/((-210)/28)) prime?
True
Let t = 12575 - -642. Is t prime?
True
Suppose -49*p + 2026847 + 790016 = 0. Is p a prime number?
True
Suppose 31*d - 35*d = 348. Let v = d + 87. Suppose 0 = 7*r - 11*r + 5*n + 3533, v = 2*r - 4*n - 1774. Is r composite?
False
Suppose -4*k - 36 = -2*r, 3*r - 61 + 14 = 5*k. Let z(g) = -g**3 - 8*g**2 - 8*g - 5. Let s be z(k). Suppose -s*l - 96 = -412. Is l a prime number?
False
Let k be (16 - 14)*((-21)/6 - -3). Let w(c) = -10034*c**3 - 17*c - 18. Is w(k) prime?
False
Suppose 0 = 2*j + 2*j + 8, 2*d - 6648 = 3*j. Let o = 8258 - d. Is o prime?
True
Let j(u) = 17*u**3 + 3*u**2 - 2*u - 2. Let k be j(3). Let f = 16682 + -15858. Let p = f - k. Is p composite?
True
Let m(t) = 15097*t**2 + 1966*t + 9798. Is m(-5) a composite number?
False
Let d = -1923 + 5372. Is d a prime number?
True
Suppose 4*l = -l + 1775. Suppose 0*y - 2*y = -2*v - 960, -2*y + 3*v = -956. Let d = l + y. Is d prime?
True
Suppose -6*k = -102539 + 10325. Suppose -4*n = 4*s + 1397 - k, 0 = 2*s + 4*n - 6990. Is s a prime number?
True
Let d(q) = 96*q**2 + q. Let v = -49 - -51. Suppose -8*g + 6 = -v*g. Is d(g) prime?
True
Is 29452 - (-1 + 180/15) prime?
False
Let f(x) = 3772*x - 72. Let g(d) = 1257*d - 23. Let a(t) = -2*f(t) + 7*g(t). Is a(6) a composite number?
True
Suppose 3*h - 135345 = 4*p, -130*h + 132*h - 5*p = 90244. Is h a prime number?
False
Suppose 0 = n - 4*c - 927155, -186*n = -181*n + 4*c - 4635967. Is n a prime number?
True
Suppose -5*l + 434441 = -454879 + 237205. Is l a composite number?
False
Let f(i) = 315*i**2 - 9*i + 1403. Is f(-36) prime?
True
Let v = 2779119 + -1657396. Is v prime?
True
Let a = -13618 + 24018. Let t = a + -4663. Is t a prime number?
True
Let t(y) = -y**3 - 5*y**2 + 5*y - 8. Let m be t(-6). Let a be (-2)/(-24)*m - 1/(-6). Suppose 0 = -p + 3*w + 193, a*p = -2*p - 2*w + 370. Is p prime?
False
Let w = -673509 - -374345. Is (w/(-174))/((-2)/(-3)) prime?
True
Suppose -19*y + 14*y + 4760553 = 16*y. Is y composite?
True
Suppose -226*m - 2549305 - 31618 = -243*m. Is m a prime number?
False
Let c(y) = y**3 - 24*y**2 + 24*y - 26. Let f be c(23). Let t be f*((-4366)/6 + 4). Let m = t + -790. Is m a composite number?
False
Let p(m) = -96*m + 49. Let o(k) = 95*k - 50. Let s(i) = -4*o(i) - 3*p(i). Is s(-19) a composite number?
False
Let s = 6579 - 3411. Suppose 4*h = -4*n + s, 0 = h - n + 4*n - 782. Is h composite?
False
Let n = -13666 - -138125. Is n prime?
True
Let m(q) = 2*q**2 + 2*q - 1. Suppose -43 + 48 = 5*o. Let p be m(o). Suppose 478 = 2*t + 4*f, 4*t - p*t - f = 233. Is t composite?
True
Let l(y) = 1396*y**2 + y. Suppose 3 = -16*j + 19. Is l(j) a prime number?
False
Let o(f) be the first derivative of 6 + f**2 + 2/3*f**3 + 0*f. Is o(-2) a composite number?
True
Let z(i) = -9*i**2 + 22*i + 16*i**2 - 11 - 9 - 5*i**3 + 1. Is z(-8) prime?
False
Let h be ((-16692)/(-10))/((-16)/(-40)). Let b = 12328 - h. Suppose b = 5*u - 2*x, -3*u + 5*x + 4879 = x. Is u composite?
True
Let a be 1/7*(-35)/(-5)*13. Suppose 15*h = -a*h + 19628. Is h a composite number?
False
Let y = 445 + -445. Suppose -9*t + 12395 - 4232 = y. Is t a composite number?
False
Let a = -7 - -11. Let x(v) = 236*v**3 + 4*v**2 - v + 9. Let q(d) = d**3 - d - 1. Let c(w) = a*q(w) + x(w). Is c(2) a composite number?
False
Suppose 0 = -q + 2*j + 42339 + 4902, -j = 2*q - 94487. Suppose 6*h - 42601 = q. Is h composite?
True
Suppose 291*r = 277*r + 56. Suppose 15*m - r*q = 13*m + 2012, -2*q = 4*m - 3984. Is m a prime number?
False
Suppose -5*r - 3*z = -11109, -5364 = -4*r + 3*z + 3507. Let g be 42883/(-37) + (9 - 3). Let i = g + r. Is i composite?
True
Suppose 84*y + 5*u + 410774 = 88*y, 0 = 4*y - 4*u - 410780. Is y a composite number?
False
Let n = 807 + -338. Suppose 4*r + 5*u = -2, 0 = 5*r + 4*u - 1 - 1. Suppose n = i + r*y, 2*y - 7*y = 5. Is i composite?
True
Let l(j) = -163*j**2 - 22*j - 55. Let b(g) = 81*g**2 + 11*g + 27. Let m(k) = -7*b(k) - 4*l(k). Is m(-5) a prime number?
False
Let j(u) = -32 + 16*u - 14*u + u. Let v be j(17). Suppose -v*h + 63 = -51. Is h prime?
False
Let r = -204 + 224. Let g(u) = 170*u + 193. Is g(r) a composite number?
False
Let z(m) = 12*m - 12. Let w be z(5). Suppose 6*k + w = 14*k. Suppose 0 = -k*d + 18*d - 6252. Is d prime?
True
Suppose -2*j + 15 = j, 5*i + 4*j - 45 = 0. Let y(l) = -25*l + 277. Let g be y(11). Suppose -4*k + 1070 = -0*r - i*r, 0 = -g*k + 5*r + 540. Is k composite?
True
Let z(l) = -518*l**3 - 326*l**3 + 5*l + 7 - l**2 + 145*l**3. Is z(-2) a composite number?
True
Let w = 26 + -23. Suppose -w*b - 2 = 4. Is (628/10)/(b/(-5)) composite?
False
Let c(g) = 4*g**2 + 8*g + 2. Let t be c(-9). Suppose -464 = -j + t. Is j composite?
True
Suppose 13*v - 2874746 = 1617873 - 133654. Is v prime?
False
Suppose -3*k + 1281 = -2931. Suppose 4*p + 2*h = 5*h + k, -2*p - 4*h = -702. Suppose -5*r + p + 2791 = 3*f, 5*r - 3140 = -5*f. Is r composite?
True
Let u(p) = -6*p**3 + p**2 + 19*p - 12. Let i be u(8). Let f = 5719 - i. Is f a prime number?
False
Suppose -4848*t + 4873*t - 8422475 = 0. Is t composite?
False
Let r(l) = l**2 - 3*l + 9. Let n = 34 - 28. Let o be (-1 + 0 - (n - 8))*-10. Is r(o) a composite number?
False
Let w be ((-2)/(-10))/(17/255). Suppose 3*c - 4*c = q - 2845, w*q = 0. Is c a composite number?
True
Let l be 1662/4 + (-15)/(-10). Suppose 6*t + l = -1377. Is (-1)/((-5)/20) - t a composite number?
True
Let c(l) = -l**2 + l + 45. Let p be c(-5). Let v = 536 - p. Is v a composite number?
False
Let q be ((-160)/(-40))/(4/82). Suppose 6*j - 580 = -q. Is j a prime number?
True
Let g(u) = -u**2 + 107 + 671 + 115 - 5*u. Is g(0) prime?
False
Let q(c) = c + 1. Let m(i) = -606*i + 37. Let u(f) = m(f) - 5*q(f). Is u(-9) prime?
True
Suppose 322 = 12*v - 218. Is (-3)/1 + (52537 - v) a prime number?
True
Suppose 4*j + 81346 = -2*p + 1569788, -p - 1860528 = -5*j. Is j composite?
False
Suppose 45 + 27 = -c. Let q = 881 + c. Is q prime?
True
Let n be 24 + -18 + 2*(-2 + 1). Suppose n*w + 3*i = -2*i + 10, -4 = 5*w - 2*i. Suppose 4*v - 2693 - 4151 = w. Is v composite?
True
Let w(v) = -v**3 + 34*v**2 + 74*v - 69. Let j be w(36). Is 118540/25 - j/5 a composite number?
True
Let v(h) = 7774*h**3 - 15*h**2 - 249*h + 2919. Is v(11) a prime number?
False
Let c(i) = 143*i**2 - 111*i + 8. Let a be c(-21). Suppose -k + 9*l = 14*l - 21794, 3*k - 5*l - a = 0. Is k a prime number?
True
Let j(p) = 15075*p + 1514. Is j(7) prime?
False
Let n be 3/(-4) - 713/(-92). Let c be (-2)/n - 69/(-21). Suppose -471 = -6*s + c*s. Is s prime?
True
Suppose 0 = -0*p - 2*p + 4. Suppose -p*v + 3*v - 46773 = -5*g, 0 = 5*g - 4*v - 46783. Is g composite?
True
Suppose 484 = -12*n - 164. Is ((-2566)/(-4))/((-27)/n) a prime number?
True
Suppose 0 = 4*o - c - 140492, o - 6*o - 3*c = -175632. Suppose -384*h - o = -396*h. Is h prime?
True
Let l(k) = 2846*k**2 + | {
"pile_set_name": "DM Mathematics"
} |
of 20120 and 60360?
60360
Calculate the smallest common multiple of 8 and 312206.
1248824
What is the common denominator of -107/16632 and -79/425040?
3825360
Calculate the smallest common multiple of 1248 and 17160.
68640
What is the smallest common multiple of 32550 and 4?
65100
Calculate the common denominator of 95/158446 and 19/154.
12200342
Calculate the lowest common multiple of 1422 and 46926.
46926
Calculate the common denominator of -9/13 and -3/185926.
185926
What is the least common multiple of 64904 and 1220?
324520
Calculate the common denominator of -35/32 and -89/1176.
4704
Calculate the common denominator of 43/359360 and -97/16.
359360
Calculate the smallest common multiple of 7148 and 4.
7148
Calculate the smallest common multiple of 6 and 546430.
1639290
Find the common denominator of -127/3960 and -37/28170.
1239480
What is the smallest common multiple of 2070 and 174225?
1045350
Find the common denominator of 111/20 and 13/3084396.
15421980
What is the lowest common multiple of 531 and 15753?
47259
Calculate the common denominator of 55/177123 and -123/322.
2479722
Find the common denominator of -97/24 and -83/396684.
793368
What is the lowest common multiple of 3504 and 162?
94608
Calculate the common denominator of -91/21120 and -47/7.
147840
What is the common denominator of -1/540 and -119/900?
2700
Calculate the least common multiple of 28 and 692.
4844
What is the common denominator of 157/13800 and -109/1000?
69000
What is the common denominator of 121/24 and -89/385968?
385968
Find the common denominator of 115/6 and -41/5568226.
16704678
Calculate the lowest common multiple of 2541 and 51.
43197
Calculate the lowest common multiple of 150 and 43590.
217950
Calculate the lowest common multiple of 278392 and 6256.
556784
Calculate the smallest common multiple of 1 and 162809.
162809
Calculate the common denominator of 77/32 and -55/1072.
2144
Calculate the common denominator of 67/12495 and 39/272.
199920
Calculate the lowest common multiple of 1914 and 5742.
5742
Find the common denominator of -55/27349 and -11/54698.
54698
Calculate the common denominator of 149/185706 and 1/20634.
185706
Calculate the least common multiple of 18786 and 6262.
18786
Calculate the smallest common multiple of 2337 and 328.
18696
What is the smallest common multiple of 28974 and 231?
202818
What is the least common multiple of 1116 and 3816?
118296
What is the lowest common multiple of 14 and 36506?
255542
Calculate the common denominator of -9/157 and -73/201.
31557
What is the least common multiple of 252 and 5376?
16128
What is the smallest common multiple of 402 and 326826?
326826
What is the common denominator of 23/473 and 63/335?
158455
Calculate the common denominator of 43/33440 and 109/950.
167200
What is the smallest common multiple of 5830 and 1100?
58300
Calculate the least common multiple of 54 and 63.
378
Calculate the least common multiple of 99 and 32417.
291753
Calculate the least common multiple of 1463 and 4807.
33649
Calculate the lowest common multiple of 122484 and 449108.
1347324
Calculate the least common multiple of 1755 and 693.
135135
Find the common denominator of -31/427 and -23/610.
4270
Calculate the common denominator of 4/562023 and 46/189.
1686069
Find the common denominator of 73/396 and 1/4356.
4356
Calculate the smallest common multiple of 2768 and 3.
8304
What is the common denominator of 67/906 and -79/630?
95130
What is the common denominator of -9/40 and 107/196?
1960
Calculate the common denominator of -49/35880 and 35/6072.
394680
What is the lowest common multiple of 50108 and 4?
50108
Calculate the smallest common multiple of 17784 and 6669.
53352
What is the common denominator of -47/9020 and -71/2050?
45100
Calculate the smallest common multiple of 1797007 and 7.
12579049
What is the smallest common multiple of 7315 and 55385?
387695
What is the common denominator of -22/45871 and -97/39318?
275226
Calculate the smallest common multiple of 22518 and 3753.
22518
Calculate the least common multiple of 3718 and 338.
3718
What is the common denominator of -5/4 and 89/4075864?
4075864
Calculate the smallest common multiple of 240 and 240.
240
Calculate the common denominator of 49/9159 and 93/2.
18318
Calculate the common denominator of -89/30 and 1/350.
1050
Calculate the common denominator of -23/39216 and -13/1720.
196080
What is the common denominator of 117/51212 and 85/160952?
1126664
What is the least common multiple of 2275 and 123435?
4320225
Calculate the lowest common multiple of 6957 and 13914.
13914
Calculate the common denominator of -20/4371 and -83/10810.
1005330
Find the common denominator of -123/41780 and -69/1360.
2841040
Calculate the lowest common multiple of 35 and 211910.
1483370
Calculate the least common multiple of 24 and 1123278.
4493112
What is the least common multiple of 32 and 303580?
2428640
What is the common denominator of 57/2374 and 15/13057?
26114
What is the lowest common multiple of 3552 and 14208?
14208
Calculate the common denominator of 29/551840 and 103/689800.
2759200
Find the common denominator of 83/18 and -47/1188.
1188
What is the smallest common multiple of 74299 and 3820?
1485980
What is the least common multiple of 24 and 162504?
162504
What is the common denominator of 63/547712 and 32/38511?
4929408
Calculate the common denominator of -3/190 and -59/148.
14060
Calculate the lowest common multiple of 16816 and 10.
84080
Find the common denominator of 83/763851 and 143/3516.
3055404
Find the common denominator of -187/3690 and 23/6150.
18450
What is the common denominator of 47/127542 and -1/1827?
2678382
What is the least common multiple of 227730 and 21?
1594110
What is the common denominator of -17/1664 and 83/201344?
201344
What is the lowest common multiple of 70 and 204?
7140
What is the lowest common multiple of 48 and 62536?
375216
What is the common denominator of -115/21384 and -25/4374?
192456
Calculate the least common multiple of 48 and 22384.
67152
What is the lowest common multiple of 125534 and 966?
2636214
Find the common denominator of -103/1628 and 115/3626.
79772
Find the common denominator of 79/40815 and 16/225.
204075
What is the least common multiple of 154880 and 8?
154880
Calculate the common denominator of 37/3322367 and 10/9.
29901303
Calculate the common denominator of -131/23100 and 37/231.
23100
What is the common denominator of 74/25203 and -131/1626?
50406
What is the common denominator of 101/3122 and 38/33?
103026
What is the common denominator of -29/185560 and 187/960?
4453440
Calculate the common denominator of 93/10430 and -25/154.
114730
Calculate the common denominator of -1/346050 and 62/34605.
346050
What is the common denominator of -64/467795 and 61/20?
1871180
What is the least common multiple of 38010 and 7602?
38010
What is the lowest common multiple of 1758 and 114?
33402
Find the common denominator of 10/466551 and 32/466551.
466551
What is the lowest common multiple of 768 and 768?
768
Calculate the smallest common multiple of 911368 and 40.
4556840
Calculate the lowest common multiple of 94169 and 11.
1035859
What is the common denominator of 29/2849 and 15/49?
19943
What is the common denominator of 47/554125 and -59/554125?
554125
Calculate the smallest common multiple of 108339 and 82075.
2708475
Find the common denominator of 62/250985 and 179/215130.
1505910
Find the common denominator of -121/486 and -173/10320.
835920
Find the common denominator of 87/40580 and -71/60.
121740
Calculate the lowest common multiple of 65839 and 790068.
790068
Calculate the least common multiple of 1470 and 980.
2940
Find the common denominator of -71/70 and -79/735.
1470
Calculate the common denominator of 67/62 and 87/115568.
115568
Find the common denominator of -79/369872 and 101/24.
1109616
Find the common denominator of -67/88 and -47/10608.
116688
Calculate the common denominator of 92/45 and -83/104310.
104310
What is the smallest common multiple of 3493 and 3992?
27944
Find the common denominator of -50/99 and -42/25.
2475
Calculate the smallest common multiple of 30682 and 12006.
276138
Calculate the common denominator of -121/125892 and 7/13988.
125892
Calculate the lowest common multipl | {
"pile_set_name": "DM Mathematics"
} |
5*w - 67 for a.
-2
Solve 1012*q - 1008*q = -2*l + 6, -3*q - 4*l = -17 for q.
-1
Solve p - 4*s + 10 = 0, -14*p + 9*p + s + 19 = -7 for p.
6
Solve 861*m - 865*m = 2*v - 10, 0 = -3*m + v + 10 for m.
3
Solve w + 3*j = -11, -3*w + 19 - 40 = 5*j for w.
-2
Solve 5030*a - 5027*a - 14 = -q, 0 = -a - q + 8 for a.
3
Solve -f = -1, -1 + 14 = c + 6*f + 3*f for c.
4
Solve 0 = 5*o - u + 3, u - 188 = -5*o - 185 for o.
0
Solve -5*f + m = -17, -54 + 42 = -4*m for f.
4
Solve 9*n - 27 = 0, 3*n = v - 595 + 601 for v.
3
Solve -30 = 10*l + 5*p, 279*l - 278*l - p - 3 = 0 for l.
-1
Solve -q = -6*y + 13 - 47, 5*q = -3*y + 38 for q.
10
Solve -3*l - 18*q + 20*q = -4, 4*q = -l - 8 for l.
0
Solve 3*i + 19 = 95*u - 100*u, 0 = -11*u + i + 57 for u.
4
Solve 2*b + 5*o = -10, -97*o + 111*o + 31 = -5*b for b.
5
Solve 15*s - 13*s = -w + 20, -6*s = -w - 76 for w.
-4
Solve -3*w - 56*p + 53*p = -45, -4*w + 56 = 2*p for w.
13
Solve 3*l = 2*w + 12, 65*l + 78 = 4*w - 16 for w.
-9
Solve 8*d + 5*m = 7*d - 27, -3*d + 3*m + 9 = 0 for d.
-2
Solve -34*o + 4*j + 16 = -32*o, 0 = 2*o + j - 11 for o.
6
Solve 6930*l + 15 = 6927*l, 5 = -3*u - l for u.
0
Solve 3*f - 4*g = 1856 - 1887, -2*f = 5*g - 10 for f.
-5
Solve 53 = -5*g - 52 + 95, 0 = -b - 5*g - 5 for b.
5
Solve -2*a = -3*n - 9, 4*a + 112 = -4*n + 100 for a.
0
Solve 2*a - 4*q = 4, 21051*q + 20 = -2*a + 21047*q for a.
-4
Solve 6135*d + 48 = 5*x + 6143*d, 0 = x - d - 7 for x.
8
Solve -216 = -2*x + 3*n - 221, -4*x + 3*n = 1 for x.
2
Solve 0 = -2*t + 2*v + 10, 2234*v - 2229*v - 10 = -2*t for t.
5
Solve -4*x - p - 11 = 0, -2*p + 119 - 146 = 3*x for x.
1
Solve 4*l + 4*j = -4, 3*j + 9 = 5*l + 22 for l.
-2
Solve -3*p = -5*w + 11, 1994 - 1990 = -2*w - 3*p for w.
1
Solve -15*r + 12*r = -0*j - 2*j - 11, 3*j = -r - 22 for r.
-1
Solve 12*m + 48 = 3*w, -27 = -201*w + 204*w + 3*m for w.
-4
Solve 0 = -4*y - 5*v + 35, -y + 5*v + 1 - 11 = 0 for y.
5
Solve 44725*t = 44729*t + 5*x - 41, x = 5*t - 15 for t.
4
Solve 17*b - 12*b = -2*r - 69, -5*b = -7*r - 174 for b.
-3
Solve 8134*c + p - 17 = 8139*c, c + 2*p - 12 = 0 for c.
-2
Solve l + 17 - 27 = -3*c, -4*c + 8 = -4*l for l.
1
Solve -5801*p + 5797*p - 30 = g, -4*g + 16 = -p for p.
-8
Solve 15*p = -2*h - 90, 5*p - 5*h - 535 + 565 = 0 for p.
-6
Solve -4*s - 16 = 0, -l - 18*s + 36*s = 13*s - 22 for l.
2
Solve -78*z = -74*z + 4, 3*i - 1 = z for i.
0
Solve 3*p = 33, 46*o - 47*o - 3*p - 5*p = -83 for o.
-5
Solve -2*m = 5*j - 5, j + m - 3067 = -3066 for j.
1
Solve 3*u = o - 4, 2*o - 1648*u + 8 = -1650*u for o.
-2
Solve -20 = -4*r - 4*s, 0 = -297*r + 301*r + 2*s - 14 for r.
2
Solve 3*w = 3, 4*q = -2*w + 2*w + 3*w - 39 for q.
-9
Solve u + 12647 = 4*i + 12630, -5*i + 10 = -5*u for u.
3
Solve 5*g = -4*o + 20, 4*g - 5*o + 12 + 13 = 0 for g.
0
Solve 2*c - 2 = 2*g, 0 = -6*c + 3*c - 4*g + 17 for c.
3
Solve -n + 4*h + 47 = 31, -31 + 28 = 3*h for n.
12
Solve 8*r - 56 = -4*t, -2*r + 2*t + 10637 = 10665 for r.
0
Solve -5*g = 5*t + 15, -144*t + 48*t - g - 573 = 0 for t.
-6
Solve -31 = -12*p + 15*p - 5*j, -2*p - 3*j + 30 = 0 for p.
3
Solve 14*u = 2*z + 16*u - 6, -2*u - 9 = -z for z.
5
Solve 26 = 11*z + n, -n + 5 = 3 - 2 for z.
2
Solve -10 = 2*p - d, 77 = 5*p - 5*d + 127 for p.
0
Solve 43*i - 4*v + 7 = 42*i, -3*i = -v + 10 for i.
-3
Solve -4*l - 138*j - 28 = -127*j, 5*l = -5*j for l.
4
Solve 3*r + 14 = -4*s, -2 - 27 = -2*r + 5*s for r.
2
Solve 13*b = 23*b - 11*b - 8, 0 = 6*g - 4*b - 62 for g.
5
Solve -4*s = 4*r + 4, 17*r - 14*r = -5*s - 3 for s.
0
Solve 2*j + 3*h = 4, -2*j - 20*h - 215 + 151 = 0 for j.
8
Solve -2*c - 46 = 8*p, 3*c - 5 + 2 + 37 = -5*p for c.
-3
Solve 2*l = -5*u - 309 + 294, 0 = -4*l - u - 21 for l.
-5
Solve 4*r = 2*i + 6 - 22, 30 = -5*r + 5*i for r.
-2
Solve -n + 2*g = 8, 2*n - 11*g + 8 = -9*g for n.
0
Solve g - 2*c - 12 = 0, -7*g - 3*c + 100 - 135 = 0 for g.
-2
Solve -25*w = 2*z - 26*w - 1, 4*z + 23 = -3*w for z.
-2
Solve 50*a - 49*a + u + 7 = 0, 2*a + 5*u = -29 for a.
-2
Solve 51*r = 2*j + 53*r - 28, -5*j + 20 = -5*r for j.
9
Solve 4*w = -4*f + 4, -357 = -126*w + 129*w + 75*f for w.
6
Solve 2*c - 2*p = -2, 166968*c - 166967*c = 3*p + 1 for c.
-2
Solve -q = 4*z - 13, -z - 5*q = -2 - 6 for z.
3
Solve 3*i + 6 = 2*s, -379*s = -4*i - 382*s - 25 for i.
-4
Solve -9965*z + 9966*z = 2*x + 19, -3*z - x + 22 = 0 for z.
9
Solve 729*y - 730*y + 2*x - 9 = 0, -2*x - 5 = y for y.
-7
Solve 699*p + 4 = -2*m + 703*p, -4*p = -5*m + 8 for m.
4
Solve k - 6 = -2*g, 2*g = -19*k + 22*k + 14 for g.
4
Solve -3*w - 42*l + 53 = -44*l, w = 3*l + 20 for w.
17
Solve 0 = -2*p - 2, 0*p = -2*l - 2*p - 10 for l.
-4
Solve -52 = 4*h - 4*u, 10666*h = 10669*h + 2*u - 31 for h.
1
Solve 4*y = 2*z + 28, 2*z = -y - 190 + 177 for z.
-8
Solve -4*n + 1 = 5*c, 0 = -39*n + 37*n + 4*c - 6 for n.
-1
Solve -21*o - 6 = -s - 19*o, 4*s = 2*o - 6 for s.
-4
Solve -6*i = 42, 4*b + 2600*i = 2595*i - 43 for b.
-2
Solve 0 = 6*m + 2*o - 120, 0 = -26871*m + 26869*m - 3*o + 40 for m.
20
Solve -3893*d + 8 = -2*y - 3897*d, -3*d - 6 = 4*y for y.
0
Solve -5*u - 3*v = 39, -2*u + 203 = 4*v + 241 for u.
-3
Solve -92*c + 43 = -5*f - 90*c, -5*f - c = 46 for f.
-9
Solve -31*x - 8 = 34*x - 67*x - 3*m, -3*m = -12 for x.
-2
Solve -3*j + 33 = 5*c + 55, c = -11*j - 46 for j.
-4
Solve -5*h - 2*a - 5 = 0, -4*a + 17 = -156*h + 157*h for h.
-3
Solve -118 + 130 = -3*b - 4*y, 12 = -4*y for b.
0
Solve -t + 2*s = -2, -24 = 36*t - 40*t + 4*s for t.
10
Solve 45 - 20 - 21 = 2*d + 2*q, -2*d - 3*q + 4 = 0 for d.
2
Solve -5*p - 3*b - 5 = -6*b, 0 = 5*b for p.
-1
Solve 0 = -4*q + 3*h - 2, 3*q + 12 = -3*h - 0*h for q.
-2
Solve 0 = -3*o + 6, -5*q - o + 484 = 467 for q.
3
Solve -2*b + 375*i + 4 = 374*i, 3*b + 5*i = -59 for b.
-3
Solve 3*j = 200*q - 202*q - 7, -4*j = -4 for q.
-5
Solve p - 832 + 827 = r, 23 = 5*p - 4*r for p.
3
Solve 18*s + 2*x - 5 = 17*s, -5*x + 10 = 3*s for s.
-5
Solve 4*i + 18 = -5*p, 0 = 7*p - 4*p + i + 1 for p.
2
Solve -3*k - 36 = 5*x, k - 600*x = -605*x - 32 for k.
-2
Solve -17*i - 5*v = 607 - 655, -v + 16 = 5*i for i.
4
Solve 3*j = -3*z + j - 10, 0 = -z + 24*j - 23*j for z.
-2
Solve f - 2 = 0, -5*y - 14*f = -10*f - 53 for y.
9
Solve 2*v + 5*c - 70 = -151, -51 = -3*v + 4*c for v.
-3
Solve -62*t + 1 = -67*t + 2*a, -1 = -t + a for t.
-1
Solve 36 = -0*k - 13*k + 17*k, 2*k - 24 = -3*y for y.
2
Solve -3*w = 4*t - 2*w + 15, -3*w - 13 = 4*t for t.
-4
Solve 13*m - 4*q - 98 = 7*m - 4*m, -15 = -5*q for m.
11
Solve -2*o + 8 = 5*f, 3*o + 96 - 83 = 5*f for f.
2
Solve u - 11 = 4*x, -3*x - 8*u = -13*u - 13 for x.
-4
Solve 69*x - 2*a - 24 = 65*x, 3*x = -3*a - 36 for x.
0
Solve -3*t - 21 = 19*z - 87, 0 = 4*t - 5*z + 3 for t.
3
Solve -6*n + 30 = 0, -272*z - 5 = -277*z + 4*n for z.
5
Solve 4*a + 20 = -28*h + 29*h, -2*a - h = 4 for a.
-4
Solve -14*n + 11*n - 21 = 3*k, -12*n = -k + 58 for n.
-5
Solve -y = 5*r - 25, -328 + 363 = 2*y - 5*r for y.
20
Solve -133*a + 131*a = -3*s + 12, 4*a + 8 = 2*s for a.
0
Solve 0 = -6*p + 3*h - 135, 111 = 89*p - 94*p + h for p.
-22
Solve 7*o - 5 = 12*o, 4*o = -5*i + 6 for i.
2
Solve -8 = -2*x - 4*c, 3*x + 8519*c + 32 = 8524*c for x.
-4
Solve 3*f + 4*u - 4292 + 4323 = 0, -u = 4 for f.
-5
Solve -3*p - 32 = 314*c - 312*c, 11*p + 3*c = -100 for p.
-8
Solve -2*x = -2*p - 24, 4*x - 9185 = 12*p - 9113 for x.
9
Solve 5*p = 5*l + 4*p + 35, -4*l - 2*p = 14 for l.
-6
Solve 4*x + 5*y + 22 = 0, 0 = x + 4*y - 87 + 98 for x.
-3
Solve 5*z = 2*i + 9, 102*i - 5*z = 101*i - 7 for i.
-2
Solve 0 = 3*m - 5*j + 19, -3*m - 5*j + 20 = 19 for m.
-3
Solve -5*y + 26 = -3*h, 13*y - 4 = 15*y + 6*h for y.
4
Solve -1883*k + 1882*k - 61 = -5*g, k - 30 = -2*g for k.
4
Solve 6*u - 16*d + 11*d + 4 = 0, -d = 5*u + 24 for u.
-4
Solve 5*v - 13 = 3*d, -43*d - v = -45*d + 3 for d.
4
Solve 55*z = -4*l + 60*z + 68, 0 = -3*l + 4*z + 52 for l.
12
Solve 5*n = 4*k + 40, -2*n - 8*k - 20 = 3*n for n.
4
Solve 15 = 5*d, 2*d - 17 = -4*w + 9 for w.
5
Solve -21*f + 0*j - 4*j - 17 = -22*f, 3*j = -12 for f.
1
Solve 16 = -434*y + 439*y - 2*h, y - 3*h = 11 for y.
2
Solve -2*l - 63*b + 20 = -67*b, 4*l - 7*b = 37 for l.
4
Solve -3*d - 9*g + 14 = 47*g - 60*g, -3*d = -2*g - 4 for d.
-2
Solve 24*y = 27*y + 9, 8*x - 5*y + 1 = 24 + 8 for x.
2
Solve -5*j - 30 = -5*o, 2*o + 4*j - 48 = -6 for o.
11
Solve 3*b = -t + 22, 4*b + 75*t - 16 = 71*t for b.
9
Solve -5*r + 2*c = 5, 4*r + 5*c - 189 = -226 for r.
-3
Solve 5*r - 3*i = 4, 55 = 34*r - 30*r + | {
"pile_set_name": "DM Mathematics"
} |
rd derivative of 179*i**9/504 + 5*i**8/336 - i**7/70 - 27*i**5/4 + 25*i**2 + 2*i - 1. Find the third derivative of s(n) wrt n.
21480*n**3 + 300*n**2 - 72*n
Let d = 55 - 55. Suppose 0*z = -z + 1, -5*o - 2*z + 22 = d. Find the second derivative of 59 - g**o - 59 - 2*g + 11*g wrt g.
-12*g**2
Let d(h) be the third derivative of -h**7/10 + 43*h**5/30 - 3361*h**3/2 - 10259*h**2. Find the first derivative of d(x) wrt x.
-84*x**3 + 172*x
Let q(k) = -k**3 - 14*k**2 + 41*k - 20. Let b be q(-17). What is the second derivative of 138049 + 141*r + b*r**2 - 138049 wrt r?
300
Let w(b) be the first derivative of 0*b + 0*b**2 + 257/4*b**4 - 73*b**3 - 153. What is the third derivative of w(t) wrt t?
1542
Find the second derivative of -714*w**2 - 2*w**5 - 484 + 2*w**3 + 1725 + 1053 - w**4 + 2*w - 2*w**3 wrt w.
-40*w**3 - 12*w**2 - 1428
Let v(t) be the second derivative of 5341*t**6/30 - t**4/12 + t**3/2 + 191*t**2/2 + 9*t - 149. What is the third derivative of v(q) wrt q?
128184*q
Find the third derivative of -5 - 20*z**2 - 10 - 9*z**2 + 55*z**2 - 5*z**2 + 2796*z**6 - 5*z wrt z.
335520*z**3
Let l be 26/(5*10/125*(0 - -5)). Let v(j) be the third derivative of -j**3 + 1/3*j**4 + l*j**2 + 0*j + 0. Find the first derivative of v(p) wrt p.
8
Let f(a) = 1109*a**3 - 707*a**2 - 4*a + 39. Let y(j) = 2219*j**3 - 1415*j**2 - 7*j + 65. Let n(h) = 5*f(h) - 3*y(h). Find the third derivative of n(t) wrt t.
-6672
Let u(n) = -9*n**3 - 2*n**2 + n - 2. Let d be u(2). Let g = d - -181. What is the derivative of 212*m - g*m + 33*m**2 + 37 - 111*m wrt m?
66*m
Let c(o) = -2*o + 19 - 9*o**3 - 16*o**3 + 10*o**2 - 12*o**2 - 169. Let f(l) = -l**2 - l - 2. Let p(x) = c(x) - 2*f(x). What is the derivative of p(q) wrt q?
-75*q**2
Let n = 30 - 27. What is the third derivative of -20 - 17 - 238*d**3 + 3*d**2 + 31*d**6 + 238*d**n wrt d?
3720*d**3
Suppose g - 189 = 5*i, 4*i - 11 = -g + 178. Find the second derivative of -153*s + 91*s - g*s**3 - 148*s wrt s.
-1134*s
Let k = -26647 - -26647. Let r(b) be the third derivative of 3*b**3 + k*b - 1/24*b**4 - 47*b**2 + 0. Find the first derivative of r(t) wrt t.
-1
What is the derivative of 2061 - 736*t**3 - 387*t**3 - 344 wrt t?
-3369*t**2
Let k(u) be the first derivative of 0*u + 2/3*u**3 - 15 - 2*u**2 + 16*u**4. What is the third derivative of k(o) wrt o?
384
Let l(z) = -z**2 - 27*z + 32. Let w be l(-28). What is the third derivative of -17*h**4 + 12*h**w + 7*h**4 - h**3 - 23*h**2 + 3*h**4 wrt h?
120*h - 6
Suppose 5*x + 2*j - 60 = 0, x - 3*j = -4*x + 35. Suppose x*r = 8*r + 16. Differentiate -3 + 7 + r*q**3 - 12 - 12 wrt q.
24*q**2
Let r(y) = -2*y**2 - 7*y + 6. Let a be r(5). Let j = -72 - a. Differentiate j - s - 5*s + 0*s wrt s.
-6
Let m(i) be the third derivative of 0*i + 0*i**3 + 0*i**4 - 2/105*i**7 + 112*i**2 - 1/6*i**6 + 0 - 13/5*i**5. What is the third derivative of m(t) wrt t?
-96*t - 120
Suppose -33 = -9*d - 2*d. Let o be ((-5)/3)/((-2)/6). What is the second derivative of o*c**3 - 19*c**3 - 9*c - 3*c**d wrt c?
-102*c
Let o(a) be the second derivative of -9*a**4/2 + a**3/6 - 621*a**2/2 - 1099*a. Find the first derivative of o(h) wrt h.
-108*h + 1
Let i be (537/12)/(16/64). Find the second derivative of 358 + 156*n**4 - i - 179 - 52*n wrt n.
1872*n**2
Let x(t) be the first derivative of 13*t**4 - 13*t**3/3 + 502*t - 171. Let r(o) = 35*o**3 - 9*o**2 + 335. Let c(n) = -7*r(n) + 5*x(n). Differentiate c(b) wrt b.
45*b**2 - 4*b
Let b(z) = z**3 - 7*z - 2. Let u be b(6). What is the second derivative of u*l**5 + 179*l + 12*l**5 - 26*l wrt l?
3680*l**3
Let v(c) = 203*c - 89. Let j(i) = -408*i + 177. Suppose -28 = 2*g - 40. Let p(x) = g*j(x) + 11*v(x). What is the derivative of p(d) wrt d?
-215
Let o(r) = -r**3 - 11*r**2 - 31*r - 2. Let h be o(-7). What is the first derivative of -269*m + h + 721*m - 269*m + 0*m**2 + m**2 wrt m?
2*m + 183
Let h(i) be the third derivative of -761*i**5/60 + 1139*i**4/24 + i**3/6 - 6*i**2 - 17*i. Find the second derivative of h(m) wrt m.
-1522
Suppose 0 = 18*r - 44 + 44. Let u(g) be the second derivative of 4/3*g**4 + 0*g**3 + r + 16*g + 15/2*g**2. Differentiate u(w) wrt w.
32*w
Let u be (-2 - 1)*(-1 - (2 + -2)). Suppose 0*o = u*z - 5*o - 43, -4*z = -3*o - 39. Find the second derivative of z*y**3 - 181*y + 188*y + 9*y**3 wrt y.
90*y
Suppose 10*w - 3 = 17. What is the second derivative of -2*t + 3411*t**w - 3411*t**2 - 12*t**5 + 82*t wrt t?
-240*t**3
Let c(p) be the third derivative of -39*p**2 + 0 + 0*p**5 - 103/210*p**7 + 0*p**4 + 0*p**6 + 58/3*p**3 + 0*p. What is the first derivative of c(g) wrt g?
-412*g**3
Let a(z) be the first derivative of -z**6/3 - 518*z**3 - 29*z**2/2 - 5*z + 2241. What is the second derivative of a(c) wrt c?
-40*c**3 - 3108
Let x(p) be the first derivative of -71*p - 63/2*p**2 + 78. Find the first derivative of x(a) wrt a.
-63
Let k(m) = m**5 + m**3 + 5*m - 2. Let i(g) = -22*g**5 - 7*g**4 + 3*g**3 - 11*g - 14. Let l(a) = -i(a) + 3*k(a). What is the second derivative of l(d) wrt d?
500*d**3 + 84*d**2
Suppose 0 = 3*r - 1 + 7. Let i(n) = 21*n + 45. Let f(d) = -2*d - 1. Let a = 616 - 617. Let x(p) = a*i(p) + r*f(p). What is the first derivative of x(y) wrt y?
-17
Let q(w) = 17759*w**3 - 19*w**2 + 27384. Let v(n) = 1973*n**3 - 2*n**2 + 3043. Let y(r) = -2*q(r) + 19*v(r). Differentiate y(x) with respect to x.
5907*x**2
Find the third derivative of -n + 5694*n**4 + 594*n**5 - 417 - n + 8*n**2 + 87*n**4 + 0*n - 596*n**5 wrt n.
-120*n**2 + 138744*n
What is the third derivative of 12*s**3 + 40*s**4 - s**2 - 13*s**3 + 219*s**4 + 5*s + 224*s**4 wrt s?
11592*s - 6
Let f be 5 + (-7 - -7) + -3. Differentiate -618*a + 5 + 4*a**f + 618*a + 6*a**3 wrt a.
18*a**2 + 8*a
Let z be ((6 - 1) + -4)/(2 - 1). Let r be (-5)/(-25)*(z + 24). What is the third derivative of -1 + 1 + 21*m**r - 26*m**2 + 8*m**2 wrt m?
1260*m**2
Let w(x) = -81*x + 139. Let a(c) = 79 - 41*c - 48 + 39. Let i(b) = 9*a(b) - 4*w(b). What is the derivative of i(v) wrt v?
-45
Let u(l) = -30 + 152*l**4 + 50 + 16*l**2 - 9*l**2 - 4. Let q(y) = 151*y**4 + 6*y**2 + 15. Let c(r) = 6*q(r) - 5*u(r). Find the third derivative of c(f) wrt f.
3504*f
Let j(m) be the second derivative of m**6/15 - m**5/20 - 257*m**4 - 5*m**3/3 + 363*m**2/2 - 5*m + 207. What is the second derivative of j(p) wrt p?
24*p**2 - 6*p - 6168
Let q(h) be the first derivative of 997*h**3/3 + 683*h - 288. Differentiate q(z) wrt z.
1994*z
Let y be 72 - 6/((-6)/(-5)). What is the second derivative of -14*d**2 - 27*d**2 - 20 + 7*d - 2*d - y*d**2 wrt d?
-216
Let z(f) be the third derivative of 3491*f**9/504 - 787*f**5/10 + 178*f**2 + 24. Find the third derivative of z(o) wrt o.
418920*o**3
Let i(z) = z**2 - z. Let u(d) = 18*d**5 - 2*d**3 + d**2 + 6*d. Suppose -23 = -17*g - 6. Let p(s) = g*u(s) + 6*i(s). What is the third derivative of p(n) wrt n?
1080*n**2 - 12
Let u(i) be the second derivative of 7673*i**3/6 + 9933*i**2/2 + 3331*i - 3. What is the derivative of u(x) wrt x?
7673
Let p(a) = 6*a**2 + a - 2. Let y(o) = 2721*o**3 + 1395*o**2 + 12*o - 24. Let g(r) = 12*p(r) - y(r). Find the third derivative of g(m) wrt m.
-16326
Suppose 0 = -3*m + m + 10. Suppose -11 - m = -8*v. What is the second derivative of -5 + 5 + 4*p**v + 0*p + 2*p wrt p?
8
Let d = -292 - -303. What is the first derivative of -8*c**2 + 36*c**2 + d*c**2 - 77 wrt c?
78*c
Suppose -63 = -6*b + 21. Find the third derivative of 28*k**2 - b*k**2 + 10*k**4 + k**3 + 26*k**2 wrt k.
240*k + 6
Let a(b) = -3*b**2 + 1482*b - 3687. Let v(z) = -3*z**2 + 1484*z - 3687. Let m(t) = 3*a(t) - 2*v(t). What is the first derivative of m(j) wrt j?
-6*j + 1478
Let i be -1 + (3 - (-2 - -132)). Let o = i - -128. Find the first derivative of -2 + o - 17*z + 12 + 5 wrt z.
-17
Let q be (132/(-16))/(4/(-464)). Let y(h) = -h - 3. Let j be y(-5). What is the third derivative of 12*f**4 - q*f + 957*f + 20*f**j wrt f?
288*f
Let m(a) be the first derivative of 54*a**7/7 - a**4/2 - 791*a**3/3 + 820. Find the third derivative of m(f) wrt f.
6480*f**3 - 12
Find the second derivative of -158*c**2 - 421*c**2 - 228*c + 661*c - 2*c**4 wrt c.
-24*c**2 - 1158
Find the third derivative of 1471*c**2 - 441*c**4 - 87*c**2 - 302*c**5 + 880*c**4 + 214*c**2 - 442*c**4 wrt c.
-18120*c**2 - 72*c
Let o(f) = -2946*f - 1902. Let n(b) = 4418*b + 2857. Let g(l) = -5*n(l) - 7*o(l). | {
"pile_set_name": "DM Mathematics"
} |
- 1 - d + 0*d + d**2. Let o(k) = -2*k**2 + 3*k - 2. Let y(n) = -4*g(n) + o(n). Let t(b) = -2*b**2 + b - 2. What is 2*t(f) + 3*y(f)?
2*f**2 - f + 2
Let o(q) = 3*q**3 + 4*q**2 - 5*q - 1. Suppose -5*h = -7 - 8. Let r = -29 - -39. Let f(w) = -r*w + 2*w**3 - 1 + 2*w + 4*w + 3*w**2. Calculate h*o(x) - 4*f(x).
x**3 + x + 1
Let a(x) = -2*x - 4. Let h = -43 - -43. Let j(i) = 0*i + 2*i + 5 + h*i. Suppose 0 = -2*m - 3*m - 30. What is m*a(v) - 5*j(v)?
2*v - 1
Let m(q) = 2*q**3 + 4*q**2 + 4*q. Let l(i) = i**3 - i**2 - i + 1. Let u(s) = -3*l(s) - m(s). Let x(f) = 6*f**3 + f**2 + f + 4. Determine -4*u(y) - 3*x(y).
2*y**3 + y**2 + y
Let h(b) = -5*b + 1. Let k(f) = 483*f + 4. What is -6*h(u) + k(u)?
513*u - 2
Let c(l) = 5*l + 5. Let b(i) = i. Determine 4*b(r) - c(r).
-r - 5
Let b(s) = -3*s**2 + 17*s - 4. Let c be b(5). Let r be (3/2)/(c/48*-6). Let d(y) = y**2 - 2. Let z(h) = h - 3. What is r*z(x) + 3*d(x)?
3*x**2 - 2*x
Let l(h) = 12*h + 27. Let t(p) = 3*p + 1. Determine l(d) - 6*t(d).
-6*d + 21
Let m(z) = 4*z**2 - 8*z. Let l(k) be the first derivative of k**3 - 7*k**2/2 + 47. Give -6*l(n) + 5*m(n).
2*n**2 + 2*n
Let k(d) = 5*d**3 - 3*d**2 - 5*d - 3. Suppose 17*c - 39 - 12 = 0. Let t(b) = 11*b**3 - 7*b**2 - 11*b - 7. Give c*t(j) - 7*k(j).
-2*j**3 + 2*j
Let k(v) = -738*v**2 - 4. Let d(o) = 48707*o**2 + 265. Give 4*d(h) + 265*k(h).
-742*h**2
Let w(z) = 15*z - 2. Let b(y) = 8*y - 1. Let k(a) = 3*a + 13. Let n be k(-8). Give n*b(g) + 6*w(g).
2*g - 1
Let p(s) = 4*s - 4. Let n(g) = 21*g - 21. Let w(b) = -34*b + 181. Let i be w(5). Give i*p(l) - 2*n(l).
2*l - 2
Let r be -3*((-5 - 0) + 8). Let o(i) = 17*i**2 - i - 13. Let c(l) = 4*l**2 - 3. Calculate r*c(a) + 2*o(a).
-2*a**2 - 2*a + 1
Let w(o) = 27*o**2 + 5*o - 5. Let h(b) = -264*b**2 + 33*b + 44. Let s(z) = -133*z**2 + 20*z + 22. Let n(y) = 6*h(y) - 11*s(y). Give 5*n(d) + 22*w(d).
-11*d**2
Let u(p) = -4*p**2 + 7*p - 8. Let x(t) = -t**2 + t. Give -u(r) + 6*x(r).
-2*r**2 - r + 8
Let g(n) be the second derivative of -9*n**5/20 - n**4/2 - 2*n**3/3 + 6*n + 18. Let i(d) = 18*d**3 + 11*d**2 + 7*d. Give -7*g(o) - 4*i(o).
-9*o**3 - 2*o**2
Let j(i) = 9*i + 12. Let c(d) = -6*d - 8. Give -8*c(x) - 5*j(x).
3*x + 4
Let q(z) = -2*z**3 + 5*z**2 - 5*z - 3. Let y(j) = -2*j**3 + 6*j**2 - 7*j - 4. Calculate -3*q(p) + 2*y(p).
2*p**3 - 3*p**2 + p + 1
Let c(n) = 4*n**3 - 2*n**2 - 2*n + 2. Let i(a) = 21*a**3 - 11*a**2 - 11*a + 11. Let h = 225 + -227. Give h*i(x) + 11*c(x).
2*x**3
Let j(u) = 2*u**3 + 3*u**2 - u + 1. Let g(c) = -2*c**3 - 3*c**2. Let k(f) = 3*g(f) + 2*j(f). Let y(i) = -4*i**3 - 7*i**2 - 5*i + 5. Calculate 5*k(n) - 2*y(n).
-2*n**3 - n**2
Let y(k) = -4*k - 23. Let d(r) = 5*r + 25. Give -3*d(c) - 2*y(c).
-7*c - 29
Let r(a) = -a**3 - a**2 - a - 1. Let l = 6 + -1. Let z(t) = -5*t - 1 + 24*t**3 - 29*t**3 - 4*t**2 - l. Let f = -6 + 0. Determine f*r(x) + z(x).
x**3 + 2*x**2 + x
Suppose -3*j + 9 = -5*r + 10*r, 0 = -4*r + 12. Let o(q) = -q - 1. Let d(n) = 7*n - 2. Calculate j*o(s) + d(s).
9*s
Let v(k) = -17*k**2 - 9*k - 9. Let d(a) = 4*a**2 + 2*a + 2. Let s(x) = x**2 - 12*x + 7. Let m be s(11). What is m*v(g) - 18*d(g)?
-4*g**2
Suppose -5*l + 6*l = 6. Let u(z) = z - 2*z - 1 + 5*z + 2. Let f(b) = -7*b - 2. Calculate l*f(g) + 11*u(g).
2*g - 1
Let x(f) = 9*f**2 - 5*f + 4. Let t(r) be the first derivative of 4/3*r**3 + 2*r - r**2 - 3. Let u be ((-6)/(-12))/((-1)/10). Give u*t(h) + 2*x(h).
-2*h**2 - 2
Let l(b) be the second derivative of -b**4/2 + 7*b**2/2 + 131*b. Let x(z) = -11*z**2 + 13. Calculate -7*l(o) + 4*x(o).
-2*o**2 + 3
Suppose 3*w + 19 = -3*m + m, 5*w = m - 10. Let a = 6 - 4. Let x(b) = 2*b + 3. Let t(y) be the second derivative of y**3/3 + y**2 - y - 21. Give a*x(j) + w*t(j).
-2*j
Let m(d) = -7*d + 5. Let u be 1/((-3)/(-60)*-2). Let b(t) = 10*t - 9. Let w(k) = -29*k + 26. Let y(i) = -17*b(i) - 6*w(i). Give u*y(x) - 6*m(x).
2*x
Let c(m) = 5*m + 171. Let v(f) = 4*f + 172. Determine -3*c(w) + 4*v(w).
w + 175
Let a(w) = -9*w**2 + 4*w + 1. Let x(n) = 29*n**2 - 11*n - 3. What is 14*a(j) + 4*x(j)?
-10*j**2 + 12*j + 2
Let d(l) = -18*l**3 - 27*l + 12. Let y(r) = -7*r**3 - 11*r + 5. Let p = 858 + -846. Give p*y(i) - 5*d(i).
6*i**3 + 3*i
Let z(l) be the second derivative of l**4/4 - l**3/2 + 194*l. Let s(r) = 4*r**2 - 4*r + 1. Calculate -2*s(j) + 3*z(j).
j**2 - j - 2
Let z(a) = -3*a + 5*a - 7*a - 4. Let j(y) = -1. What is -2*j(d) + z(d)?
-5*d - 2
Let c(s) = 4*s**2 + 13*s - 9. Let y be c(-4). Let w(p) = p**2. Let o(a) = 2*a**2. Give y*o(b) - 4*w(b).
2*b**2
Let c(l) = 3*l**2 - 592*l. Let o(h) = -h**2 + 197*h. What is 6*c(b) + 17*o(b)?
b**2 - 203*b
Let t(h) = -4*h**2 - 6*h + 1. Let a(f) = -4*f + 5. Let s be a(-6). Let o(l) = 3*l**2 + 5*l + 29 - 59 + s. Calculate -5*o(n) - 4*t(n).
n**2 - n + 1
Let h be (-40)/(-24)*(38/5 - 4). Let s(m) = 2*m + 3. Let r(p) = 2*p + 3. Calculate h*s(z) - 5*r(z).
2*z + 3
Let i(a) = -540 - a + 540. Let p(z) = -10*z**2 + z. Calculate i(o) + p(o).
-10*o**2
Let w(g) = 8*g**2 - 77*g - 3. Let l(x) = -5*x**2 + 38*x + 1. Determine 5*l(b) + 3*w(b).
-b**2 - 41*b - 4
Let z(d) = -d**2 + d. Let n(o) = 3*o**2 + 2*o - 3. Let m be 4*1 - (32/8 - -1). Calculate m*n(l) + 2*z(l).
-5*l**2 + 3
Let v(a) = 2*a - 127*a**3 + 6*a + 126*a**3 - 9 + 5*a**2 + a + 0*a. Let q(b) = -b**3 + 3*b**2 + 5*b - 5. Determine 5*q(j) - 3*v(j).
-2*j**3 - 2*j + 2
Let z(r) = -2. Let o(g) = g - 15. What is -2*o(m) - 14*z(m)?
-2*m + 58
Let w(s) = 4*s**2 + 4*s - 26. Let g(x) = 9*x**2 + 10*x - 55. Determine -2*g(y) + 5*w(y).
2*y**2 - 20
Let g(k) = 1. Let y(p) = -2*p**2 - p - 7. Give 3*g(n) + y(n).
-2*n**2 - n - 4
Let t(s) = 45*s**3 + s**2 - 5. Let r(x) = -46*x**3 - x**2 + 6. What is -4*r(w) - 5*t(w)?
-41*w**3 - w**2 + 1
Let p(h) = 8*h + 49. Let d(m) = 10*m + 49. Give 3*d(b) - 4*p(b).
-2*b - 49
Let o(n) = 2*n**2 + 6*n - 23. Let y(z) = -3*z**2 - 7*z + 23. Give 6*o(t) + 5*y(t).
-3*t**2 + t - 23
Let l(v) be the third derivative of v**4/24 - 182*v**2 - 2. Let o(w) = -6*w + 3. Calculate -4*l(b) - o(b).
2*b - 3
Let t(l) = 205*l. Let c(r) = 819*r + 1. What is 2*c(m) - 9*t(m)?
-207*m + 2
Let r(h) = 16*h + 4. Let c = 44 - 55. Let f(v) = -3*v - 1. Calculate c*f(x) - 2*r(x).
x + 3
Let x(a) = 4*a + 2. Let t(j) = -529*j + 13. Determine -t(d) + 6*x(d).
553*d - 1
Let d(v) = 15*v - 8. Let g(q) = q. Determine d(z) - 6*g(z).
9*z - 8
Let u = 1091 - 1083. Let z(y) = -y + 8. Let i(n) = 2*n - 12. Determine u*z(d) + 5*i(d).
2*d + 4
Let j(p) be the second derivative of -13*p**3/6 + 3*p**2 + 76*p. Let b(k) = -38*k + 17. What is 6*b(r) - 17*j(r)?
-7*r
Suppose -y - 2*v + 8 = 0, -3*y + 4*v = 1 - 15. Let w(c) = 3*c. Let n(s) = -s. What is y*n(q) + w(q)?
-3*q
Let k(p) = 2*p + 1. Let v(j) be the first derivative of j**2/2 + j + 38. Calculate -k(f) + v(f).
-f
Let w(b) = -3 + b + 3*b - 7*b. Let d(s) be the first derivative of -s**3/3 + s**2/2 + s - 1712. What is 3*d(g) + w(g)?
-3*g**2
Let p(v) = v**3 - v**2 - v + 1. Let z(x) = -4*x**3 + 3*x**2 + 3*x - 3. Let i(a) = 37*a - 406. Let h be i(11). Give h*z(b) + 3*p(b).
-b**3
Let c(s) = -31*s**2 - 8*s - 3. Let g(t) = 16*t**2 + 5*t + 4. What is -3*c(a) - 5*g(a)?
13*a**2 - a - 11
Let p(j) = -11*j**2 - 5*j - 6. Let n(t) = -17 - 14*t + 7*t**2 - 10*t**2 + 4*t**2 - 21*t**2 - 12*t**2. Determine -6*n(d) + 17*p(d).
5*d**2 - d
Let z(i) = -5*i - 10. Let l(q) = q**3 - 11*q**2 - 31*q + 69. Let m be l(13). Let r(n) = -11*n - 21. Determine m*r(t) - 9*z(t).
t + 6
Let g(h) = 3*h. Let l(p) = 5*p. Let s(w) = w**2 - 9*w + 14. Suppose x - 26 = -4*f, -3*x + 2*x = -5*f + 28. Let k be s(f). What is k*g(v) + 3*l(v)?
3*v
Let k(b) = 3*b - 1. Let i(u) = -7*u**2 + 105*u - 42. Give -i(a) + 42*k(a).
7*a**2 + 21*a
Let s(h) = 7*h - 3. Let k(m) = -m + 1. Suppose 3*j - 2*n + 8 = 0, -5*j = -0*j - n + 11. Give j*k(r) - s(r).
-5*r + 1
Let r(f) = -f**2 + 13*f - 3. Let d(t) = 1. Determine 3*d(i) - r(i).
i**2 - 13*i + 6
Let o(c) = -c**2 - 4*c - 14. Let m(a) = a + 1. Let f(l) = 5*m(l) + o(l). Suppose 0 = -5*i + y + 33 - 13, -y = -i. Let w(k) = -k**2 - 5. What is i*w(q) - 3*f(q)?
-2*q**2 - 3*q + 2
Let v(c) = 4*c**2 + 2. Let k(n) = -5*n**2 - 2. Suppose 0 = 10*y + 18*y + 84. Determine y*k(l) - 4*v(l).
-l**2 - 2
Let u(t) = -15*t + 159. Let p(d) = -8*d + 79. Give -11*p(v) + 6*u(v).
-2*v + 85
Let x(s) = -s - 1. Let m(f) be the second derivative of f**3 + 3*f**2 + 2*f + 1430. Suppose 5*d - 104 - 21 | {
"pile_set_name": "DM Mathematics"
} |
nd -1/840?
445200
What is the smallest common multiple of 102 and 43740?
743580
What is the smallest common multiple of 17721 and 9?
17721
What is the smallest common multiple of 17145 and 4445?
120015
Find the common denominator of 37/16 and -29/18332.
73328
Calculate the common denominator of 31/54 and 25/177288.
1595592
Calculate the smallest common multiple of 3050 and 225.
27450
What is the common denominator of 97/1092 and 5/126?
3276
What is the smallest common multiple of 33 and 3912?
43032
Calculate the common denominator of -33/80156 and -107/108.
2164212
What is the least common multiple of 12250 and 700?
24500
Calculate the common denominator of 61/4118 and -73/18531.
37062
Find the common denominator of -33/2590 and 91/25160.
176120
Calculate the smallest common multiple of 31122 and 4389.
342342
Find the common denominator of -29/1024 and 15/142.
72704
What is the lowest common multiple of 1858917 and 30?
18589170
Calculate the lowest common multiple of 14350 and 90.
129150
Find the common denominator of -43/1190 and -13/420.
7140
Find the common denominator of 51/14 and -117/29414.
29414
What is the lowest common multiple of 418 and 2?
418
Calculate the common denominator of -69/79846 and -27/52207.
1357382
What is the common denominator of 33/668087 and 81/4?
2672348
What is the common denominator of -87/10948 and -163/140760?
985320
What is the least common multiple of 56766 and 27?
510894
Calculate the common denominator of -29/1526 and 6/3871.
843878
Find the common denominator of -79/7826 and 139/868686.
868686
Calculate the smallest common multiple of 3954 and 90.
59310
Calculate the lowest common multiple of 790 and 2686.
13430
Calculate the smallest common multiple of 920 and 6816.
783840
What is the least common multiple of 753 and 2877?
722127
Calculate the common denominator of 45/58891 and -65/63.
530019
What is the lowest common multiple of 7980 and 42?
7980
Calculate the least common multiple of 2158 and 10465.
1737190
Find the common denominator of 53/54 and -77/26382.
237438
Calculate the lowest common multiple of 22 and 456.
5016
Calculate the lowest common multiple of 597 and 261.
51939
What is the common denominator of -36/24781 and 36/11?
272591
What is the common denominator of 29/92 and 5/6736?
154928
What is the least common multiple of 8856 and 452?
1000728
Calculate the smallest common multiple of 1011 and 21.
7077
Calculate the smallest common multiple of 78110 and 609258.
3046290
Find the common denominator of 7/114 and 58/11211.
426018
What is the smallest common multiple of 60 and 12326?
369780
What is the least common multiple of 218658 and 9939?
218658
What is the least common multiple of 946 and 132698?
1459678
What is the least common multiple of 16 and 10497748?
41990992
Calculate the lowest common multiple of 350 and 1225.
2450
Calculate the lowest common multiple of 188528 and 235660.
942640
What is the least common multiple of 7216 and 72160?
72160
Calculate the smallest common multiple of 100500 and 105.
703500
What is the least common multiple of 306 and 2550?
7650
Calculate the common denominator of -121/120 and 53/72300.
144600
Calculate the smallest common multiple of 47320 and 14560.
189280
Calculate the smallest common multiple of 461168 and 19684.
3228176
Find the common denominator of 7/4296 and -5/1253.
30072
What is the common denominator of -139/588 and 15/44492?
133476
Find the common denominator of 21/375220 and -37/93805.
375220
What is the smallest common multiple of 9540 and 85860?
85860
Calculate the lowest common multiple of 41778 and 181038.
543114
Calculate the smallest common multiple of 2316 and 144.
27792
Calculate the least common multiple of 12 and 31470.
62940
What is the lowest common multiple of 54 and 914328?
914328
Calculate the common denominator of -23/30281 and 4/963.
272529
Find the common denominator of -69/2665 and 131/130.
5330
What is the common denominator of 97/1260 and -83/6636?
99540
What is the common denominator of 51/14 and -68/125825?
251650
Calculate the common denominator of 111/16310 and 117/230.
375130
What is the least common multiple of 52852 and 3620?
264260
Find the common denominator of 67/51980 and 48/18193.
363860
What is the lowest common multiple of 2016 and 10464?
219744
What is the smallest common multiple of 19322 and 2?
19322
What is the lowest common multiple of 1349088 and 76?
25632672
Calculate the least common multiple of 12 and 5964.
5964
Calculate the common denominator of -119/8800 and -95/176.
8800
Calculate the common denominator of 77/7320 and 109/7320.
7320
Calculate the least common multiple of 5680 and 73130.
585040
What is the common denominator of 8/21309 and 58/675?
4794525
Calculate the common denominator of 45/19936 and -31/189392.
378784
Calculate the least common multiple of 198 and 4032.
44352
Calculate the least common multiple of 828 and 1794.
10764
What is the common denominator of -71/22 and -19/252252?
252252
Calculate the smallest common multiple of 71808 and 2816.
143616
What is the common denominator of -61/16 and -75/774308?
3097232
Calculate the lowest common multiple of 79622 and 1.
79622
Calculate the smallest common multiple of 279 and 20646.
20646
What is the common denominator of -103/154 and 91/4642?
32494
What is the lowest common multiple of 1095 and 10580?
2317020
Calculate the least common multiple of 31750 and 22.
349250
Calculate the lowest common multiple of 13818 and 196.
27636
Find the common denominator of -55/91334 and -91/4.
182668
What is the common denominator of 119/246 and -83/804?
32964
Calculate the least common multiple of 3330 and 160.
53280
What is the lowest common multiple of 7095 and 303?
716595
Find the common denominator of -53/18 and 151/79710.
239130
What is the lowest common multiple of 16 and 8880?
8880
What is the common denominator of 157/45162 and 75/185666?
1670994
Find the common denominator of -27/468541 and 13/610.
4685410
Calculate the common denominator of 73/1380 and -151/354.
81420
Find the common denominator of -14/9123 and -5/11.
100353
What is the least common multiple of 1116 and 157914?
315828
What is the common denominator of -29/73110 and -1/34118?
511770
Calculate the common denominator of 61/120 and 127/4940.
29640
What is the lowest common multiple of 9 and 1092190?
9829710
What is the common denominator of 169/46500 and 64/3255?
325500
What is the smallest common multiple of 94 and 21078?
990666
What is the smallest common multiple of 39520 and 10080?
2489760
Find the common denominator of 67/9879 and -91/434676.
434676
What is the common denominator of 97/52160 and -3/163?
52160
Calculate the common denominator of 193/58590 and 181/15120.
468720
What is the common denominator of -89/130 and -71/12140?
157820
Calculate the lowest common multiple of 20 and 68760.
68760
What is the least common multiple of 84 and 8544?
59808
Calculate the lowest common multiple of 15840 and 330.
15840
Find the common denominator of 7/187016 and 61/654556.
1309112
What is the smallest common multiple of 12 and 35472?
35472
What is the smallest common multiple of 35 and 5453?
27265
Calculate the smallest common multiple of 330 and 1426524.
7132620
Calculate the common denominator of -161/131070 and 55/747099.
7470990
Calculate the common denominator of 41/42921 and 29/152.
343368
Calculate the least common multiple of 1840 and 25.
9200
What is the least common multiple of 20104 and 267096?
1869672
Find the common denominator of 1/4 and 75/48412.
48412
Find the common denominator of 53/782 and 53/2714.
46138
Calculate the least common multiple of 697 and 35.
24395
What is the lowest common multiple of 1000 and 1200?
6000
Calculate the smallest common multiple of 869680 and 31060.
869680
What is the lowest common multiple of 54440 and 15?
163320
What is the lowest common multiple of 243 and 3348?
30132
What is the least common multiple of 132600 and 119?
928200
What is the smallest common multiple of 119 and 12325?
86275
Find the common denominator of -16/354535 and -7/212721.
1063605
Calculate the common denominator of -47/45576 and -1/57.
865944
Calculate the least common multiple of 16 and 6744.
13488
What is the common denominator of 25/6798 and -143/12?
1 | {
"pile_set_name": "DM Mathematics"
} |
Solve d = p - 0*p for p.
5
Let q(t) = t**2 + 6*t + 7. Let w be q(-5). Suppose -w*c = c. Suppose 3 = u - c. Solve u*v - 2*v = -2 for v.
-2
Let h(b) = b + 8. Let a = -16 + 10. Let i be h(a). Solve v = -i*v + 6 for v.
2
Suppose p - 15 = -5*j, 5*p + j + 0*j - 75 = 0. Solve 0 = 3*z + 2*z - p for z.
3
Let k = 3 - 0. Suppose -k*l + 0*d - 3 = 3*d, 6 = -4*l - 5*d. Let z be l - (-2 - (-3 - -2)). Solve -z*a - a - 12 = 0 for a.
-4
Suppose -34*i + 42*i - 16 = 0. Solve -2 = -3*a + i*a for a.
2
Let y = 34 - 2. Suppose -5*j - u + 45 = u, -j - 5*u + y = 0. Solve j = -5*l + 2 for l.
-1
Let a(i) = -i + 9. Let j be a(5). Suppose m - 17 = 2*m - 4*q, j*m = -2*q + 22. Solve b = -2*b + m for b.
1
Suppose -2*l = 92 + 56. Let i = -45 - l. Suppose -4*k = -5*j + 8, 3*k + 0*j - i = -5*j. Solve -k*a + 2 - 5 = 0 for a.
-1
Let u = -9 - -8. Let q be ((-4)/14)/(u/7). Solve 0*g + 2 = -q*g for g.
-1
Let d be ((-60)/(-8))/(-3)*-4. Suppose -5*c + 20 = d. Solve -25 = c*x + 3*x for x.
-5
Let g = 10 - 10. Suppose -h - 3*h + 8 = g. Solve -2*f - h*f - 16 = 0 for f.
-4
Let o(w) = w**3 - 12*w**2 + 10*w + 15. Let t be o(11). Solve -15 = t*b + b for b.
-3
Let g(c) = -c + 13. Let t be g(0). Let r = t - -2. Suppose l = 2*l - r. Solve 0 = 3*v + l - 0 for v.
-5
Suppose -12 = -4*b, 3*x = 2*b + 15 + 3. Let c(o) = -o**2 + 7*o + 11. Let w be c(x). Suppose -2*r - w*f = 3*r - 32, r = -3*f + 16. Solve -r*q = 1 + 3 for q.
-1
Suppose 2*v + 2 = 2*x - x, 3*x + 4 = -4*v. Suppose 3*h = 2*w + 1 - 12, -h - 3*w + 11 = x. Let o(i) = 4*i**2 - i - 1. Let j be o(h). Solve 1 = -c - j for c.
-5
Suppose -4*t = -t - 15. Let i(v) = v**2. Let s be i(t). Suppose 0 = 4*u - 51 - s. Solve 3*q = 4 - u for q.
-5
Let w be 3*((-14)/(-3) - 4). Solve w = -p + 4 for p.
2
Let n(a) = 6*a - 16. Let x be n(6). Solve 2*p + 2*p + x = 0 for p.
-5
Let b(w) = -w**2 - 11*w - 13. Let v be b(-9). Solve -19 = -v*r + 1 for r.
4
Let h(o) = -o**2 + 4*o + 2. Let f be h(4). Suppose 3*j = x + 22, 4*j + j - 44 = -2*x. Solve 0 + j = -f*b for b.
-4
Suppose -6*t + 22 = -2*t - 2*c, 3 = 3*c. Let q be (3/6)/(1/10). Suppose -5*p = 1 - 21. Solve -t = -q*r + p for r.
2
Let g be ((-6)/(-4) - 1)*0. Suppose 0 = -g*y + y - 4. Suppose 7*q - 3*q = 0. Solve q = y*f + 1 - 9 for f.
2
Suppose 3*z - 11 = 2*z - h, 0 = -5*z + 2*h + 34. Suppose -21 = 4*k - 5*k + 5*m, 4*k - z = m. Let t(y) = 21*y - 1. Let v be t(k). Solve 9*a - v = 4*a for a.
4
Suppose -5*z + 2*z = -6. Solve -z*a + 8 = 2*a for a.
2
Let x(d) = d**2 - 4*d + 6. Let w(q) = -q + 2. Let z be w(-2). Let o be x(z). Solve -n - o = n for n.
-3
Suppose 0 = -3*s + 5*k + 17, -2*k + 4 = s + 2. Solve 2*j - s = -0*j for j.
2
Suppose -4*r + r = -15, 0 = 4*h + 5*r - 53. Let c(x) = x**2 - 5*x - 9. Let p be c(h). Solve -n - 3 = -p for n.
2
Let m(s) = 2*s**2 + 12*s - 12. Let n be m(-7). Solve g = n - 4 for g.
-2
Let p = -35 - -60. Solve 5*b - 5 = -p for b.
-4
Suppose 0 = -0*v - 2*v - 5*d - 20, d = v - 4. Solve -2 = -2*r - v for r.
1
Suppose 2*g - 2*g = -2*g. Solve s = -g*s for s.
0
Let k = -31 - -38. Solve 0 = 5*q + k + 3 for q.
-2
Let p be 0 + (-1 + 1 - -2). Solve 0 = 4*m + p + 10 for m.
-3
Let h(x) = 2*x + 12. Let d(p) = p + 6. Let g(j) = 5*d(j) - 3*h(j). Let a be g(-6). Solve a = 4*k - 0*k - 20 for k.
5
Let n(k) = -k**3 + 6*k**2 - 5*k + 5. Let g be n(5). Suppose 2 - 22 = -g*j. Solve 0 = d + j*d - 15 for d.
3
Let s(p) = 4*p - 9. Let r be s(6). Suppose -2*g - g + r = 0. Suppose -5*l = -39 - 21. Solve -j - l = -g*j for j.
3
Let w = -11 + 11. Solve u = -w*u - 5 for u.
-5
Suppose 12*x - 90 = 2*x. Solve x - 12 = -c for c.
3
Let z(q) = -q**2 - 10*q + 24. Let v be z(-12). Solve v*h + 2*h + 4 = 0 for h.
-2
Suppose -2 = 7*a - 23. Solve -5 = a*q + 2*q for q.
-1
Let i(m) = 3 + 4*m + 3 + 1 - 3*m. Let a be i(-7). Solve a = -5*t - 0*t for t.
0
Let y be (-200)/(-56) + (-3)/(-7). Solve -y*u = -2 - 6 for u.
2
Suppose 0*z - 8 = -2*z. Solve -2*h + z*h + 2 = 0 for h.
-1
Suppose -2*u = -4*u. Suppose -b + 18 + 14 = u. Suppose 2*k + 2*k = b. Solve y + y = -k for y.
-4
Suppose p + 9 - 14 = 0. Solve -4*s + p = 25 for s.
-5
Let v = 165 + -160. Solve 0*f = v*f - 20 for f.
4
Suppose j - 54 = -2*j. Let v = j - 15. Solve 0 = v*l + 17 - 5 for l.
-4
Suppose -10 = -8*z + 3*z. Let g(b) = 2 + 8*b - b + 0*b**2 - b**z. Let l be g(6). Solve -5*o = -3*o + l for o.
-4
Let t(v) = v + 1. Let g be t(5). Solve -g = 3*k - 0*k for k.
-2
Let i = -1 - -1. Let z be 17 + -4*(-9)/24*2. Suppose -b - 2*b + 6 = i, 3*x - 2*b = z. Solve -2*u + 0 = -x for u.
4
Let o(l) = -2*l + 2. Let b be o(-2). Solve 2 - b = -g for g.
4
Let m be 19/4 + (-5)/(-20). Solve 5 + 5 = m*t for t.
2
Suppose 2*k = 4 + 2. Let c = 8 - 4. Let m = c - k. Solve -v = -0*v - m for v.
1
Let s(v) = 4*v**2 + v + 1. Suppose -3 = j + 2*j. Let l be s(j). Solve k = -0*k - l for k.
-4
Let l(o) = -o**3 - 4*o - 4. Let y be l(-3). Suppose -8*t = -3*t + y. Let x(v) = v + 9. Let n be x(t). Solve n*c = 7*c - 15 for c.
3
Let z be (4/12)/(1/6). Suppose 25 = 4*l - 9*l. Let n be 6*(3 + l/z). Solve -5 = n*g - 2*g for g.
-5
Suppose 5*i = -i. Solve i*r = -4*r for r.
0
Let t be (-4 - -1) + (5 - 6). Let p = 4 + t. Solve f + 4 - 1 = p for f.
-3
Suppose 2*q + 2*q = 4*v - 4, -4*v = q - 14. Let r = q + 7. Solve -3*p - 3 = -r for p.
2
Suppose -12 = -v - 5*v. Solve 4*r - 5*r = v for r.
-2
Let m = -16 - -18. Solve 2*w = 3*w - m for w.
2
Let f(m) be the first derivative of 2*m**2 + 5*m + 1. Let n(l) = -l. Let s(d) = -f(d) - n(d). Let w be s(-4). Solve 0 = -w*v + 4*v + 12 for v.
4
Suppose n + w - 4 = 0, -3*w + 4*w = 3*n - 16. Suppose -4*p - 4*d + 43 = 7, 2*d = -n*p + 30. Solve 10 = p*r - 2 for r.
3
Let j = -3 - -13. Let u be ((-2)/4)/(j/(-100)). Suppose -u*k + 56 = 11. Solve h + k = -2*h for h.
-3
Let a = 123 - 114. Solve a - 1 = 2*n for n.
4
Let f be (8/(-12))/(1/(-9)). Let k(y) = 2*y**3 - y**2 + y. Let v be k(1). Let q be -2 + 0 + (-12)/(-2). Solve -q - f = v*n for n.
-5
Suppose 2*l - 28 = -2*l. Suppose -3*w + l + 2 = 0. Let b(v) = -v**3 + 5*v**2 - 2*v - 5. Let z be b(4). Solve z*u + 3 = -w for u.
-2
Let g(p) = -p - 3. Let z be g(-3). Let x(q) = -4 + 2*q**2 - 3*q**2 + 28 + q. Let t be x(z). Solve 5*m = t - 4 for m.
4
Suppose n = 4*n. Suppose n = 10*h - 7*h. Solve -2*m + 4*m = h for m.
0
Let a = -8 - -13. Suppose 4*c - c = 6. Suppose c*g - 20 = -3*g. Solve -a*x + g = -4*x for x.
4
Let s(a) = -a**2 + 7*a - 2. Let o be s(6). Solve -5*w + o = -3*w for w.
2
Let k = -8 - -11. Let p = k - -2. Solve -g + 0*g = -p for g.
5
Let l(p) = 2*p**2 + 17*p + 12. Let c be l(-8). Solve -c = x + 3*x for x.
-1
Let z(h) = h**3 + h**2 - 5*h + 5. Let u be z(-3). Solve 1 = -u*q + 3 for q.
1
Suppose 9*v = 4*v + 10. Suppose -3*p + 0*p - 24 = 0. Let w = 8 + p. Solve w = v*l - 4*l - 6 for l.
-3
Let x(v) = 12*v**2 + v + 1. Let h be x(-1). Suppose -h = -5*y + y. Solve 0 = -k + y*k for k.
0
Let m = -22 - -6. Let s be 0*(-1 + m/(-12)). Solve s*g + 20 = -4*g for g.
-5
Let y(u) = u - 8. Let n be 6/(-4)*120/(-18). Let d be y(n). Solve -d = b - 0*b for b.
-2
Let p(s) = s**2 - 13*s + 2. Let b be p(13). Solve -b + 10 = -2*k for k.
-4
Suppose 0*f + 32 = 4*f. Let h = f + 2. Suppose h = 4*g - 6. Solve 9 = m - g*m for m.
-3
Let c(s) = s**2 + 4*s - 10. Let q be c(-6). Solve q*u + 0 + 6 = 0 for u.
-3
Let y(u) = u + 2. Let r be y(1). Let d = 14 - 6. Solve r*c = c - d for c.
-4
Let t = -40 + 41. Solve t = l - 0*l for l.
1
Let r(j) = -j**3 + 9*j**2 - 7*j - 4. Let h be r(8). Suppose 6 = -2*n + w - h, 0 = -5*n + w - 22. Let x be 7/4 - n/16. Solve -x*v - 9 = -1 for v.
-4
Suppose 2*n - 6*n = 3*k + 11, 4*k - n - 17 = 0. Suppose 0 = f + 1 - k. Let c = 5 - 0. Solve 0 = -4*m + c*m + f for m.
-2
Suppose 2*o - 3 - 5 = 0. Let h(u) = 2*u - 6. Let d be h(o). Solve d + 0 = 2*x for x.
1
Let v = 0 - -1. Let o = v + 0. Solve 0*k + o = k for k.
1
Suppose k - 2 = 4*v - 15, 4*v = -5*k + 7. Solve 0 = -v*x - 2*x + 20 for x.
4
Let v = -1 - -16. Let h be 54/v + (-10)/(-25). Let g = h + 1. Solve 3*j + 10 = -g for j.
-5
Let r(l) = -l + 4*l**2 - l - 3*l**3 + 2*l**3 + 1. Let x be r(3). Solve -3 = -x*t + 9 for t.
3
Let s = 3 - 2. Solve 1 = q - s for q.
2
Let l = 20 - 14. Let d(h) = -h**3 + 4*h**2 - 3*h + 2. Let g be d(3). Suppose 2*a = 2*c + 4 - 12, -c = 5*a - 4. Solve -l = -a*q + g*q for q.
-3
Suppose 2*r - 34 = -2*u, 0*u + 59 = 3*r + 5*u. Solve 4*f = -r + 17 for f.
1
Suppose -b - 4*b + 2*d + 28 = 0, 0 = -d - 4. | {
"pile_set_name": "DM Mathematics"
} |
4. Let o(f) = f - 1. Let x(c) = -4*o(c) - z(c). What is x(j(w))?
-w**2
Let i(g) = 90 - 90 + g. Let c(r) = -r**3 - 7*r**2 + 8*r + 4. Let w be c(-8). Let u(y) = y**2 + w*y - 4*y + 0*y**2. What is u(i(a))?
a**2
Let l(n) = -n. Let i(b) be the third derivative of 0*b**4 + 1/12*b**5 + 3*b**2 + 0*b + 0 + 0*b**3. What is i(l(p))?
5*p**2
Let c(k) = -14*k**2. Let h(m) = -9*m. Give h(c(s)).
126*s**2
Let z(h) = 2*h**2 + 25. Let x(c) be the second derivative of -c**3/3 - 30*c. Determine z(x(a)).
8*a**2 + 25
Let s(j) = -4*j**2 + 3*j**2 - 2*j**2 - 3*j**2. Let a(m) = 2*m**2. Calculate a(s(q)).
72*q**4
Let j(t) be the second derivative of 0*t**3 + 1/30*t**5 + 0 + 0*t**4 + t - 1/2*t**2. Let g(z) be the first derivative of j(z). Let w(n) = n**2. Give g(w(b)).
2*b**4
Let w(i) = -3*i. Let s(d) = 3202*d**2. What is w(s(j))?
-9606*j**2
Let u(g) = -2*g. Let v(k) = -k. Let m(c) = -c**3 + c + 0 - c**2 + 0*c**2 + 3. Let j be m(0). Let w(s) = j*v(s) - 2*u(s). Let a(q) = -2*q**2. Determine a(w(y)).
-2*y**2
Let s(u) = -u**2. Let k(o) = 13*o - 36*o + 18*o. Calculate k(s(f)).
5*f**2
Let h(c) = -3*c**2 + 242 - 242. Let a(z) = -12*z**2. Give h(a(x)).
-432*x**4
Let k(z) be the second derivative of -z**6/360 - z**4/6 + 4*z. Let h(o) be the third derivative of k(o). Let x(f) = f. What is h(x(a))?
-2*a
Let t(d) = 2*d**2. Suppose -3*c + 0*i = 4*i - 14, -4*c + 20 = 5*i. Let f(z) = -10 + c + z**2. What is f(t(o))?
4*o**4
Let i(w) = -17*w**2 + 2*w + 1. Let u(d) = 50*d**2 - 7*d - 2. Let y(v) = -7*i(v) - 2*u(v). Let x(l) = -l**2. What is x(y(g))?
-361*g**4 + 114*g**2 - 9
Let i(b) = 3*b. Let c(u) be the first derivative of -4*u**3/3 + 1. Give i(c(z)).
-12*z**2
Let k(h) be the third derivative of -h**4/3 - 11*h**2. Let o(c) = -2*c**2. Determine k(o(u)).
16*u**2
Let a(q) = 5*q**2. Let y(d) = 3*d**2 + 7*d. Let o(g) = 7*g**2 + 3*g + 2*g - 5*g**2. Let v(t) = -7*o(t) + 5*y(t). Give a(v(l)).
5*l**4
Let p(t) = 44*t. Let a(z) = 3*z**2 + 3*z. Calculate a(p(b)).
5808*b**2 + 132*b
Let i(t) be the first derivative of 13*t**3/3 - 6. Let a(n) = 5*n**2. Give i(a(s)).
325*s**4
Let y(l) = -6*l**2 + l. Let z(d) = 3*d**2. Calculate z(y(s)).
108*s**4 - 36*s**3 + 3*s**2
Let r(f) = 17*f**2. Let b(q) be the first derivative of q**3/3 - 11. Calculate r(b(o)).
17*o**4
Suppose 3*u + 0 = i - 14, -4*i + u = -12. Let d(r) = -3*r**i + 2*r**2 + 0*r**2. Let c(g) = -g - 2*g - 3*g + 8*g. What is d(c(l))?
-4*l**2
Let n(l) = l. Let r(s) = -2*s**2. Let a(b) = 2*b**2. Let o(c) = -2*a(c) - 3*r(c). Determine n(o(k)).
2*k**2
Let u(n) = 10*n. Suppose 2*g - 2*j + 7 = j, 0 = 2*g + j - 13. Let i(l) = 6*l**2 - g*l**2 - 4*l**2. What is i(u(b))?
-200*b**2
Let y(r) = r**2. Let h(b) be the second derivative of -11*b**3/3 - 3*b. Calculate h(y(c)).
-22*c**2
Let l(k) = 2*k + 125. Let i(t) = 2*t**2. What is i(l(v))?
8*v**2 + 1000*v + 31250
Let f(s) = 6*s + 16. Let p(q) = -q - 3. Let o(m) = -3*f(m) - 16*p(m). Let c = -22 - -27. Let x(v) = 2*v + c*v - 4*v - v. Give o(x(a)).
-4*a
Let o(h) = h. Suppose 2*p - z = 3*z - 8, 0 = -p - 4*z + 8. Let t(n) be the third derivative of p*n**3 + 0*n + 0*n**4 - 1/60*n**5 - n**2 + 0. Give t(o(m)).
-m**2
Let y(w) = -15*w**2 - 30. Let i(j) = 1. Let k(o) = -30*i(o) - y(o). Let x(b) = b. What is x(k(h))?
15*h**2
Let u(n) = 2*n. Suppose 5*z - 6*q + 3*q = -8, 0 = -5*z + q - 16. Let a(b) = -b. Let m(c) = z*a(c) - 3*u(c). Let s(g) = -3*g**2. What is s(m(f))?
-12*f**2
Let h(g) = -g. Let l(t) = 4931*t. Give h(l(b)).
-4931*b
Let h(f) = 14*f**2. Let p(o) = 28*o**2 - 1. Give p(h(n)).
5488*n**4 - 1
Let k(h) = 2*h**2. Let x(o) = -23*o + 1. Determine k(x(s)).
1058*s**2 - 92*s + 2
Let a(k) = 2 - k**2 - 4 + 2. Let u(z) = -2*z**2. What is a(u(n))?
-4*n**4
Let k be ((-7)/(1 - 2))/1. Let y(s) = k*s - 2 + s - 3. Let g(t) = 12*t - 8. Let j(l) = 5*g(l) - 8*y(l). Let v(i) = -2*i**2. Calculate j(v(o)).
8*o**2
Let v = 8 - 2. Let m(s) = v*s + 11*s - 19*s. Let r(b) = 13*b**2. What is m(r(a))?
-26*a**2
Let y(f) = f. Let o(x) = 407*x. Determine o(y(v)).
407*v
Let n(p) be the third derivative of p**5/60 + 4*p**2. Let y(u) = 5*u. Calculate y(n(a)).
5*a**2
Suppose -4 - 6 = -5*p. Let x(g) = 4*g + 3*g - p*g. Let k(r) = 8*r. Let c(l) = 5*l. Let w(o) = -5*c(o) + 3*k(o). Give x(w(q)).
-5*q
Let b(y) = y**2. Let d(w) = -5093*w. Give b(d(v)).
25938649*v**2
Let s(l) = 41*l + 1. Let r(a) = -9*a. Let c(k) = 7*k. Let p(w) = 5*c(w) + 4*r(w). Calculate s(p(y)).
-41*y + 1
Let z(p) = -4*p - 5. Suppose 4*h = 4*b + 36, 4*h - 41 = 3*b - 9. Let l(q) = q + 1. Let y(n) = h*l(n) + z(n). Let s(a) = 2*a. Give y(s(g)).
2*g
Let s(k) = k. Let i(g) be the third derivative of 0*g + 0*g**3 + 0 + 1/60*g**5 - 3*g**2 + 0*g**4. Determine i(s(t)).
t**2
Let v(q) = -q. Let a(n) = -7*n**2 - 4*n. Determine a(v(c)).
-7*c**2 + 4*c
Let w be (-8)/(-6)*15/10. Let k(y) = 10*y**2 + 3*y**2 - 3*y**w. Let q(l) = -2*l**2. Determine k(q(c)).
40*c**4
Let b(k) = -3*k**2 + 0*k**2 + k**2. Let f(m) = -m + 1. Let a be f(1). Let z(i) = 24*i - 25*i + 0 + a. Calculate z(b(n)).
2*n**2
Let t(z) = -125*z. Let i(f) = f. Determine i(t(b)).
-125*b
Let c(b) = 2*b**2. Let f(p) be the third derivative of 0*p**3 + 1/60*p**5 + 0*p**4 + 0 + 4*p**2 + 0*p. Calculate f(c(i)).
4*i**4
Let y(j) = -9*j. Let v(m) = 20*m. Let x(i) = 2*i. Let l(h) = -2*v(h) + 22*x(h). Determine y(l(n)).
-36*n
Let a(k) = 6*k**2. Let r(l) = l + 34. Give a(r(i)).
6*i**2 + 408*i + 6936
Let n(j) = 15*j + 9*j - 34*j + 9*j. Let p(f) = -2*f + 2. Let x(m) = -3*m + 5. Let d(l) = -10*p(l) + 4*x(l). Determine n(d(w)).
-8*w
Let s(p) = -p. Let g be (2/4)/(2/12). Let y = -1 + g. Let o(v) = -y*v - 2*v + 3*v. Calculate s(o(d)).
d
Let b(o) = -4*o**2 + 2*o + 2. Let u(x) = -x - 10. Let y be u(-8). Let m(h) = -17*h**2 + 9*h + 9. Let q(t) = y*m(t) + 9*b(t). Let r(d) = 4*d. What is r(q(v))?
-8*v**2
Let u(y) = 693*y. Let o(d) = d**2. Give o(u(x)).
480249*x**2
Let q(i) = -2028*i**2. Let k(j) = -5*j**2. Determine q(k(g)).
-50700*g**4
Let d(l) = -3*l**2 + 3*l. Let i(p) = -5*p**2. Give i(d(j)).
-45*j**4 + 90*j**3 - 45*j**2
Let o(v) = -49*v. Let y(i) = 6*i. Calculate o(y(z)).
-294*z
Let m(h) = 4 + 2*h**2 - 4*h**2 - 4. Let i(t) = 23*t**2. Determine m(i(f)).
-1058*f**4
Let z(c) = 5*c. Let t(r) be the third derivative of 2*r**5/15 - 19*r**2. Determine z(t(s)).
40*s**2
Let y(q) be the first derivative of -3*q**3 - 8. Let w(b) = -b. Calculate y(w(c)).
-9*c**2
Let z(h) = -h. Let d(v) = -52*v**2 - 3*v. Give d(z(c)).
-52*c**2 + 3*c
Let d(m) = 42*m - 21*m - 20*m. Let h(y) = -4*y + 0 + 0. Calculate h(d(v)).
-4*v
Let j(z) be the third derivative of z**4/12 - 31*z**2. Let y(g) = 3*g. Calculate y(j(d)).
6*d
Let y(o) = 838*o**2. Let c(q) = 8*q. Determine y(c(f)).
53632*f**2
Let y(g) = -g. Let d(m) = 36*m - 35. Give d(y(t)).
-36*t - 35
Let n(q) = -5*q. Let f(z) = -3*z. Let y(v) = 2*v. Let h(t) = 5*f(t) + 7*y(t). Calculate n(h(o)).
5*o
Let w(l) = -16*l - 8. Let f(o) = 65*o**2. Give w(f(t)).
-1040*t**2 - 8
Let g be (-7)/28 + 1/4. Let r(f) = g + 0 + 2*f. Let s(h) = -3*h. What is r(s(a))?
-6*a
Let m(n) = 2*n**2. Let t(v) = v**2 - 2*v - 5. Let s be t(4). Suppose 3*b - s = 3. Let g(p) = -b*p + 0*p - p. Determine g(m(a)).
-6*a**2
Let g(m) = m**2. Let d(o) = -456*o - 1. What is d(g(r))?
-456*r**2 - 1
Let o(m) = -4*m. Let r(p) = 374*p. Determine r(o(u)).
-1496*u
Let d(j) = 3*j. Let a(m) = -2 + 2 - 17*m + 6*m. Give a(d(g)).
-33*g
Let v(c) = -3*c + 9. Let r(u) = -2*u**2. Determine r(v(s)).
-18*s**2 + 108*s - 162
Let n(a) be the third derivative of -a**4/6 + a**2. Let x = -6 + 9. Let y(j) = 2 + j - x + 1. Determine y(n(b)).
-4*b
Let j(g) = 23*g + 17. Let y(c) = -8*c - 6. Let v be (-1 + 63/12)*4. Let a(z) = v*y(z) + 6*j(z). Let n(k) = -3*k**2. What is a(n(q))?
-6*q**2
Let n(s) = 7*s + 3. Let j(l) = 101*l**2. Calculate n(j(k)).
707*k**2 + 3
Let d(j) = -j - 1242. Let c(o) = o**2. Give d(c(w)).
-w**2 - 1242
Let o(u) = 3*u + 2. Let h be (-20)/(-16) - (-3)/4. Let y(x) = -x - 1. Let w(b) = h*o(b) + 4*y(b). Let t(p) = 2*p. Give t(w(j)).
4*j
Let r(p) = p. Let f(y) = -y**3 - 2*y**2 + y - 3. Let m be f(-3). Let x(j) = 4*j - 3. Let i(n) = -8*n + 7. Let h(v) = m*i(v) + 7*x(v). Give h(r(b)).
4*b
Let a(t) = 5 - 6*t + 8 + 0. Let k(i) = 3*i - 6. Let r(n) = 6*a(n) + 13*k(n). Let q(p) be the first derivative of p**2 - 25. Give r(q(j)).
6*j
Let g(h) be the first derivative of -11*h**2/2 - 30. Let p(c) = -3*c** | {
"pile_set_name": "DM Mathematics"
} |
11*p**5/60 - p**3/6 + p**2. Let y = 458 - 438. Suppose -10*w + y = 10*w. Calculate k(w).
-12
Let m(g) be the third derivative of -1/24*g**4 - 20*g**2 + 1/60*g**5 + 0 + 0*g - 1/120*g**6 + 5/2*g**3. Suppose -9*n = 6*n. What is m(n)?
15
Let g(s) = 5*s + 44. Let p(y) = 14*y**2 - 349*y - 25. Let m be p(25). What is g(m)?
44
Let z(d) be the first derivative of 2*d**3/3 + 3*d**2/2 + 4*d + 2. Let b = -4914 - -4911. Determine z(b).
13
Let p(y) = 12*y**3 + 17*y**2 - y - 57. Let o(g) = -7*g**3 - 9*g**2 + 28. Let r(c) = -5*o(c) - 3*p(c). Determine r(-6).
13
Suppose 0 = -25*u - 159 - 41. Let v(b) = -b**3 - 7*b - 140*b**2 + 72*b**2 + 1 + 59*b**2. Calculate v(u).
-7
Let f(w) = 4*w**2 + 2*w - 2. Let u be f(1). Let m(t) = 3*t**2 - 13*t + 3. Determine m(u).
-1
Let a(f) = -f**2 + 20*f - 33. Let b = 7455 - 7437. What is a(b)?
3
Suppose 2*q + 4*w - 40 = 0, 224*w = -3*q + 227*w - 12. Let p(m) be the third derivative of -m**4/24 + 5*m**3/3 + m**2. Give p(q).
6
Suppose -4*j - 9 = 3*g + 6, 3*j + 4 = 5*g. Let q be 6 - ((j - -1) + -1). Let i(v) = 3*v + 2 + 3*v + 4*v - q*v. Give i(-5).
-3
Let o = -25 + 28. Let p(k) = 4*k**2 + 1 + 0*k**o - 46*k - k**3 + 51*k. Determine p(5).
1
Let t = 24231 - 24234. Let n(i) = -2*i**2 - 5*i + 7. Give n(t).
4
Let w = -346 - -509. Let u(l) = 4 - 5*l**2 - w*l - 6*l**3 + 7*l**3 + 165*l. Determine u(3).
-8
Let a(o) = o - 37. Let s be a(17). Let t = s + 32. Let y(j) = -10*j + 0 - 3*j - 6 + t*j. What is y(7)?
-13
Let v(x) = -2*x**3 - 11*x**2 - 3*x + 2. Let p(z) = -z**3 - 10*z**2 - 2*z + 2. Let m(d) = 3*p(d) - 2*v(d). Suppose 67 = 10*t - 9 - 4. Calculate m(t).
2
Let n = 14 - 12. Suppose n*x - 10 - 4 = 0. Let h(c) = x*c**2 + c**3 + 4 - 3*c**2 + 2*c**2. What is h(-6)?
4
Let x(k) = 39*k - 14*k - 20*k - 39*k**3 + 77*k**3 - 39*k**3 + 5*k**2. Give x(6).
-6
Let g(u) be the third derivative of -7*u**4/3 - 95*u**3/2 + 342*u**2. Calculate g(-5).
-5
Let o(c) be the second derivative of 5/6*c**4 + 1/20*c**5 + 2*c - 3 - 8*c**2 - 2*c**3. What is o(-11)?
-5
Let n(j) = -115*j**2 + j - 5. Let u(s) = -369*s**2 + 4*s - 16. Let p(c) = 7*n(c) - 2*u(c). Calculate p(-1).
-69
Let n(v) = -v**3 - v**2 + v - 3. Let y(x) = -10*x - 234*x**2 + 235*x**2 - 6*x + 6*x + 24. Let o be y(6). What is n(o)?
-3
Let f(r) = 4*r - 43. Suppose -3*c = 65*m - 66*m - 33, -4*c = -3*m - 39. What is f(c)?
5
Let b(r) be the third derivative of 0 - 94*r**2 + 1/12*r**4 - r + 3*r**3. Give b(-10).
-2
Let i(h) = 16*h - 326. Let w be i(20). Let u(g) = -4*g**2 - 21*g - 1. Calculate u(w).
-19
Let f(n) = -n + 9. Let t = 11925 + -11925. Determine f(t).
9
Suppose -7*n + 90 - 27 = 0. Suppose -n*p + 5*p = 2*x + 30, 0 = -p - 5*x + 6. Let v(c) = c + 10. Give v(p).
1
Let h(c) be the second derivative of c**3/6 + 4*c**2 + 5*c - 17. Suppose -29*g = -32*g - 24. Determine h(g).
0
Let l(i) = 2*i**2 + 6*i + 3. Let u(z) = -3*z**2 - z + 43. Let h be u(-9). Let q = h + 187. Calculate l(q).
11
Let x(t) = 10*t**2 + 7*t + 8. Let u(a) = -21*a**2 - 15*a - 17. Let k(y) = 6*u(y) + 13*x(y). Let v = -4441 + 4439. What is k(v)?
16
Let m(a) be the first derivative of -a**2/2 - 9*a + 13. Let j be m(-5). Let r(g) = -8 - 4 + 18 + g**2 - 2 + 3*g. Calculate r(j).
8
Let l(u) = -u**3 + 9*u**2 - 6*u - 8. Let j be l(8). Let c = j - 14. Let o(i) be the second derivative of i**3/3 + 2*i**2 - 55*i. Determine o(c).
-8
Let m(x) = -x + 15. Let t be m(10). Suppose 0*b - 5*b + t*n = -55, 2*n = -3*b + 8. Let p(c) = -b + 4 - 6*c**2 + 1 + c**3 + 5*c + 3. What is p(4)?
-10
Let q(m) = 2*m**3 + 138*m**2 - 144*m - 282. Let a be q(-70). Let c(b) = -b**3 + 3*b**2 + 8*b + 6. Calculate c(a).
10
Let m = 23 + -16. Let d(p) be the second derivative of 0 - 2*p**2 + 4/3*p**3 + 1/2*p**4 - 1/20*p**5 - 8*p. Calculate d(m).
3
Suppose -13 = -3*y + 8. Let r(p) = 12 + 6*p - y - 6. Suppose -i + 70 - 71 = 0. Determine r(i).
-7
Let d(j) be the first derivative of -j**3 + 7*j**2 + 7*j - 32. Let o be d(5). Let q(c) = -87*c**3 + c**2 + 86*c**3 - 1 - c**o + 3*c. Give q(-3).
17
Let t(k) = k**3 - 7*k**2 - 7*k + 1. Let j = 7959 + -7952. Give t(j).
-48
Let l(t) = -t**3 - 22*t**2 + 3*t + 68. Let n be l(-22). Let d(k) = 3*k**2 - 2*k - 15 + 5 + k - 19*k**n - k**3. Calculate d(-16).
6
Let q(u) = -4*u**3 + u**2 + u - 2. Suppose 3*j + 0 = 3, f - j = -3. Determine q(f).
32
Suppose 4*c - 12 - 12 = 0. Let s(n) = -137*n + 275. Let j be s(2). Let t(g) = -5 - c*g + 13*g + 7*g**2 + j - 3*g**2 - g**3. Determine t(5).
6
Suppose 46*d = -42 + 636 + 188. Let p(b) = -b**3 + 18*b**2 - 17*b - 28. Calculate p(d).
-28
Suppose -21*l + 10*l = -220. Suppose l = y + 19*y. Let a(o) = -o - 3. Calculate a(y).
-4
Let u = 425 + -339. Suppose -u*m - 14 = -79*m. Let a(k) be the first derivative of k**4/4 - 2*k**3/3 - k**2 + 1. Calculate a(m).
-12
Let i be 5/((-50)/8)*5. Let d(f) be the first derivative of -f**3/3 - f**2 + 2*f + 563. Determine d(i).
-6
Let c(d) = d**3 - 7*d**2 - 19*d + 96. Let n be c(8). Let r(t) = -2*t**2 + 12*t - 11. Calculate r(n).
-43
Let f be (-132)/990 - (-15184)/30. Let l = f + -503. Let y(k) = 9*k + 1. Give y(l).
28
Let g(p) = -p**2 - 10*p - 18. Suppose -55*y + 801 = 1186. Calculate g(y).
3
Suppose 0 = -5*u + a + 54 + 116, 0 = 3*u + 5*a - 130. Let w = 45 - u. Let f(t) = -9*t + w*t + 15 + t**2 + 0. Calculate f(0).
15
Let k(b) = -6*b**2 - 209*b - 9. Let d(i) = -19*i**2 - 576*i - 26. Let y(m) = 3*d(m) - 8*k(m). What is y(-6)?
6
Let u(i) = -2*i**3 + 13*i**2 - 5*i + 17. Let y be (10 - (2 + 0)) + (108/12 - 10). What is u(y)?
-67
Let p(f) = f**3 + 10*f**2 - f + 2. Let h(a) = 43*a + 17. Let i be h(-14). Let w = i - -575. Give p(w).
12
Let t be (-2)/(2/9*33/(-286)). Let s(g) = t*g - 38*g + 16 - 37*g + 8. Determine s(-7).
3
Let y(o) = 2*o**2 - 42*o - 148. Let u(i) = 1235*i - 4916. Let c be u(4). Calculate y(c).
-4
Let g(h) be the first derivative of -h**3/3 - 4*h**2 - 5*h + 140. Suppose -5*f = -4*l + 12, 2*f + 3*l + 17 = 3. What is g(f)?
11
Let x(d) = -36692*d + 36704*d + 51 - 41. Determine x(-5).
-50
Suppose 3*d - k - 19 = -8, 0 = -4*d - k + 3. Let v(g) = 2459*g - g**2 - 2451*g + 6 + 2*g**d. Give v(-6).
-6
Let l(o) = 437*o + 5240. Let j be l(-12). Let i(k) = k**2 + 2*k - 3. Give i(j).
5
Let w(j) be the third derivative of -j**4/24 - 4*j**3/3 - 2404*j**2. Suppose -2*c - 20 = 2*b, 2*b - 6*b + 3*c = 33. Give w(b).
1
Let j be 475/(-1375)*11 - 2/10. Let i(r) = -29*r - 94. Calculate i(j).
22
Let u(s) = 2*s**3 + 24*s**2 + 100*s - 35. Let k(x) = 2*x**3 + 23*x**2 + 112*x - 35. Let a(l) = -7*k(l) + 8*u(l). Calculate a(-15).
-50
Let k be 50 + -26 + -19 + (-9 - 0). Let s(n) = -n**2 - 4*n - 2. Give s(k).
-2
Let y(g) = -71*g**2 + 33*g - 9. Let z(a) = 25*a**2 - 11*a + 3. Let w(p) = -6*y(p) - 17*z(p). Determine w(10).
-7
Let a(s) = -2*s - 15. Let d(c) = 3*c + 22. Let r(t) = 4*a(t) + 3*d(t). Suppose -n - 7 - 3 = -v, 3*v - n - 22 = 0. Let h be ((-14)/v)/(1/(-3)). Calculate r(h).
13
Let v(z) = z**3 + z**2 + z + 40. Let u be 9/6*(62/6 + -5). Suppose 0 = -15*m + m - u*m. Give v(m).
40
Let i(j) = -j**3 + 18*j**2 - 16*j - 14. Let z = 2026 + -2009. Give i(z).
3
Let n be 7 - (4/16 - (-39)/(-12)). Suppose -n*x - 120 = 2*x. Let o be (x/4 + 3)*-10. Let l(r) = -r**3 - 4*r**2 + 8*r + 5. What is l(o)?
-10
Let b(f) = 56 + 64 + 17*f + 67 - 250 + 64. Let i = 3 - 2. Determine b(i).
18
Let y(q) = 12*q + 44. Let x(l) = -6*l - 22. Let n(j) = -5*x(j) - 3*y(j). Let r be n(-4). Let a(h) = 2*h + r*h - 6*h. What is a(4)?
-8
Suppose 21*v - 1309 = 14*v. Let n(w) = -v + 187 - w. What is n(1)?
-1
Let q(s) = -s**3 - 6*s**2 + 8*s + 9. Let z(l) = -6*l**2 - 19*l - 22. Let d be z(-2). Suppose 16 = -5*m + m. Let x be (m/d*14)/(-1) - 0. Give q(x).
2
Let j = 63411 + -63417. Let d(t) = -4*t**3 + 7*t**2 + 5*t + 12. Let y(v) = -v**3 + 1. Let i(o) = -d(o) + 5*y(o). What is i(j)?
-13
Suppose -3*a = -h + 12 - 1, 5*h - 5*a = 25. Let l(k) = -5*k**3 - 3*k**2 - k + 17. Let f(w) = 3*w**3 + 2*w**2 + w - 11. Let t(i) = 8*f(i) + 5*l(i). What is t(h)?
-1
Let j(n) be the third derivative of n**5/60 + 7*n**4/6 + 61*n**3/3 + 6*n**2 + 54. Give j(-23).
7
Let k = 40 - 34. Suppose 2 + k = -8*n. Let l(j) = 8*j**3 - 6*j**2 - j + 5. Let a(t) = 16*t**3 - 11*t**2 - 2*t + 9. Let s(u) = -6*a(u) + 11*l(u). Give s(n).
8
Suppose 40 = 5*l + 3*l. Let y be 52/(-10) + (-4)/l. Let r(g) = g**2 + 9*g + 5. Calculate r(y).
-13
Let u(z) = z**3 + 4*z**2 - 3*z + 5. Let q(c) = -c + 1. Let w = | {
"pile_set_name": "DM Mathematics"
} |
*t - 16 for t.
-3
Solve 3*m + 5*r + 7 = 26, -2*m - 5*r = -16 for m.
3
Solve 9 = 3*c - 4*u + 6, -5*u = 2*c - 2 for c.
1
Solve 0 = 5*w + 2*z - 1 - 18, 2*w - 2*z - 16 = 0 for w.
5
Solve -2*q + 4*m = -22, -11*q + 12 = -8*q + m for q.
5
Solve -51*t + 4*c - 8 = -56*t, -5*c - 15 = 0 for t.
4
Solve 3*c = h - 6*h - 14, 4*h + 5*c = -6 for h.
-4
Solve 0 = s - p - 1, -p - p = 2*s + 2 for s.
0
Solve -10*j + 6*j - i + 3 = 0, 9 = 2*j + 3*i for j.
0
Solve -54 = 3*v - 5*r - 20, 0 = -4*r + 20 for v.
-3
Solve 8 = -2*x - 2*c, -3*x - 4*c - 9 = 6 for x.
-1
Solve -2*v = 5*m - 3*v - 34, -3*v - 24 = -2*m for m.
6
Solve 0 = -2*i + 10, -m = 2*i - 20 + 7 for m.
3
Solve -3*z + 6*r - r = 16, 0 = 5*z - 3*r for z.
3
Solve -5*u = 5*p + 40, -p = 3*u + 6 + 12 for u.
-5
Solve 0*c - 5*c + 3*s = 15, -5*s - 6 = 2*c for c.
-3
Solve 828*s = 832*s + 5*n + 5, 3*s + 21 = 2*n for s.
-5
Solve 0 = -3*j - 15, -4*d + d + 17 = -j for d.
4
Solve 0 = -5*j - 5*n - 10, -4*n - 11 = -5*j + 6 for j.
1
Solve 5*q = 10*q - 4*y + 48, 3*q = 2*y - 26 for q.
-4
Solve 9*t - 8*t + 3*m - 2 = 0, 3*t - 2*m + 16 = 0 for t.
-4
Solve 4*o - 2*i + 8 = 0, 5*o - o + 2*i = 8 for o.
0
Solve -3*i + 5*l - 20 = 0, -2*i + 12 = -5*i + 3*l for i.
0
Solve 4*r - 2 = 5*n - 24, 3*r + 3 = -3*n for n.
2
Solve 0 = -2*w - 13*h + 15*h - 14, 20 = 5*h for w.
-3
Solve -3*n - 13 = 2*l, -2*n - 13*l + 12*l = 8 for n.
-3
Solve k + 5*o + 10 = 0, 3*k - 7*k - 2*o = -14 for k.
5
Solve -h = -3*s + 4 - 3, 2*s + 22 = -5*h for s.
-1
Solve m + 11 = -3*p, p - 6 = 3*m - 23 for m.
4
Solve 3*x - 72*m = -71*m - 8, 3*x = -2*m - 11 for x.
-3
Solve 4*p - 5*r = 7*p + 5, 0 = -2*r - 8 for p.
5
Solve 18 = 2*x + 5*i, 16*x + i + 6 = 18*x for x.
4
Solve 0 = -5*h + 2*b - 4, -2*h + 2 = 3*h + b for h.
0
Solve -2*g = 0, h - 30*g = -27*g + 2 for h.
2
Solve -f + 2*d = -6, 2*f - 3 = d + 3 for f.
2
Solve 4*v + 2*a + 4 = 0, 3 = -3*v - 6*a + 2*a for v.
-1
Solve 36 = -5*k + 4*w, 5*w - 19 = k + 5 for k.
-4
Solve -p + 0*r = 3*r + 11, p + 6 = -2*r for p.
4
Solve -4*a + 20 = -5*n + 8, 2*a + 24 = -5*n for a.
-2
Solve 6 = -n + 2*k, 2*n - 2*k + 6 + 4 = 0 for n.
-4
Solve -4*k - 3*s + 9 = -8*k, -k + 5*s = -2 for k.
-3
Solve -2*a - 12*t = -13*t, 5 = -5*a + 5*t for a.
1
Solve 4*u + 3 = -a - 10, -2*a = 5*u + 20 for u.
-2
Solve -2*y = -2*i + 10 - 14, -i - 2 = y for i.
-2
Solve 3*n - 2*v - 6 = 0, 8*n - 6*n + 4 = 4*v for n.
4
Solve 0 = -5*y + 5*k, y + 3*k - 8 - 12 = 0 for y.
5
Solve -4 = -3*a - 5*w - 0, 2*a = 2*w + 8 for a.
3
Solve 2*s + 11 = 5*a, -3*a - 6 = 3*s - 0*s for s.
-3
Solve 0 = -4*k - 2*f + 10, -3*k + 2*f - 4 = -8 for k.
2
Solve 5*x - u = 20, -11*u - 5 = 4*x - 16*u for x.
5
Solve j - 7 - 1 = -3*q, -j + 4*q = 13 for j.
-1
Solve 33*u = -5*f + 30*u - 28, -f - 6 = u for f.
-5
Solve 5*c = -5*i - 40, 0 = 3*c + 5*i + 5 + 29 for c.
-3
Solve -3*g - 3*d = d - 21, -15 = -4*g - d for g.
3
Solve 5*a + 14 = -3*p, -a - 6 = -2*p + 2 for p.
2
Solve 0 = 5*g - 4*q + 21, 5*g + 3*q + 8 = 4*g for g.
-5
Solve 0 = 4*j - t + 5*t - 20, 3*j + 2*t = 11 for j.
1
Solve -5*l + 5*j = -12 + 17, 2 = -2*l + 4*j for l.
-1
Solve 71*g - 73*g = -2*o - 4, 2*g + 3*o = 29 for g.
7
Solve 3*b + 3*p - 9 = 0, 4*b + 5 = -p + 2 for b.
-2
Solve -4*h + 18 = 5*c, 3*h = 2*c + 4 - 2 for h.
2
Solve 3*q - 6*n + 3*n - 12 = 0, -4 = -2*q - 2*n for q.
3
Solve -3*j - 11*y - 43 = 21, 0 = -4*j + 3*y + 3 for j.
-3
Solve -4*n + 18 = 5*m, 2*n = 4*m + 3*n - 10 for m.
2
Solve 3*f + 3*y = 8*f - 57, 5*f - 5*y - 65 = 0 for f.
9
Solve -5*y - 4*d = -7*d - 4, 5*d + 18 = -3*y for y.
-1
Solve 4*g = y - 270 + 263, 3*y = -3*g + 21 for y.
7
Solve 20 = -5*q + 5*n, 7*q + n - 1 = 11*q for q.
1
Solve 5*r + 28 = x, 0*x = r - 2*x + 11 for r.
-5
Solve 0 = -5*g - f + 24, -44*g + 5*f = -43*g - 10 for g.
5
Solve 0 = -2*q + 3*n - 2, -3*q = -0*q + 3*n - 27 for q.
5
Solve -5*u - 18 = -3*m - 4, u = -4 for m.
-2
Solve 0 = -3*l + 3*n - 12, -7*l + 3*l - 2*n + 2 = 0 for l.
-1
Solve -2*q - 2*h = 6, -3*q = -2*h + 1 + 8 for q.
-3
Solve a - 15 = -5*n, 0 = 6*a - 3*a for n.
3
Solve 2*f = u + 9, -f - 12 = -4*f + u for f.
3
Solve -3*b + 8*b - 3*m = 17, -5*m - 18 = 2*b for b.
1
Solve -3*y = 2*z + 7, -z + 2*z + 6 = -4*y for y.
-1
Solve 0 = 5*b - 2*w + 30 - 3, -b = 5*w for b.
-5
Solve c + y - 2 = 0, 18 + 1 = -3*c + 2*y for c.
-3
Solve -4*s - 27 = 5*h, 3*h + 4*s = -10 - 11 for h.
-3
Solve b + 5*c = -b + 14, 0 = -4*b + c - 16 for b.
-3
Solve -l - 3*k - 2 = 3*l, 2*l - k = -6 for l.
-2
Solve -3*a + 6 = 4*q, 3 + 2 = -q - 4*a for q.
3
Solve -4*f - 9 = -5*l - 15, 5*f = 5*l + 5 for f.
-1
Solve 0 = -k - 4*j - 21, 3*k - j - 4*j - 22 = 0 for k.
-1
Solve -8*p + 22 = -4*p - 2*t, 0 = 3*p + 2*t - 6 for p.
4
Solve 5*o + 2*v + 3*v + 20 = 0, 0 = 4*o - 4*v - 16 for o.
0
Solve -2*k + 0*k + 8 = 0, -4*k = -5*y - 6 for y.
2
Solve -5*s = -5*p + 45, 2*s + 23 = p + 2*p for p.
5
Solve 2*r - 17 = 3*z, -3*r - 184 = 3*z - 187 for r.
4
Solve -4*j - 18 = -3*p, -8*j - 12 = -4*j for p.
2
Solve -u - 15 = 3*s, -4*u - s - 2 = 3 for u.
0
Solve 2*h + 684*z = 679*z - 14, -h = 5*z + 17 for h.
3
Solve 4*f + 11 = -2*u + 1, 3*f + 5*u + 4 = 0 for f.
-3
Solve -4*f - 4*y - 48 + 84 = 0, 2*f = 3*y - 7 for f.
4
Solve 2*k + 3*u = 0, 2 + 2 = -2*u for k.
3
Solve -5*u = -3*g - 46, 3*g + 11*u = 10*u - 16 for g.
-7
Solve -5*u = 2*n - 10 + 37, -2*u = 4*n - 2 for n.
4
Solve -5*m + 2*b + 26 = 0, -m + 6*b = b - 19 for m.
4
Solve 4*p - 8*p - 16 = 0, -3*p = 4*o for o.
3
Solve 1 = b - 2*v, 0 = -5*b + 10*b + 3*v - 18 for b.
3
Solve -o + 16 = 2*q + 2*o, 2*q = o for q.
2
Solve 3*i - 2*b - 8 = 0, 5*b - 6 + 1 = -5*i for i.
2
Solve -3*r = 3*a - 6, -4*a - 3*r - 3 = -7 for a.
-2
Solve 4*f + 2*d - 6 = 0, f + 13 = -2*f + 2*d for f.
-1
Solve b - k + 9 = 0, 0 = -5*b - 0*k + 3*k - 37 for b.
-5
Solve -3*o = 4*a + 16, -a - 5 + 1 = -o for o.
0
Solve 2 = s + u, 4*s - 2 = -u - 0 for s.
0
Solve 3 = f - 5*l, -17*l = -12*l + 5 for f.
-2
Solve 4*y - t + 23 = 2*t, -3*y + 3*t - 18 = 0 for y.
-5
Solve -c = -2*k + 11, 4*c = 4*k + 5*c - 37 for k.
8
Solve u - 11 = -2*k, 43*k = 3*u + 42*k + 16 for u.
-3
Solve -s = 1 - 3, 2*z = 2*s - 6 for z.
-1
Solve -16*k - 4 = -15*k - d, -3*d = 4*k - 12 for k.
0
Solve 4 = 4*s, 5*h + 2*s = 4*s - 22 for h.
-4
Solve -7*x = -2*x - 3*n, 0 = 4*x + 3*n + 27 for x.
-3
Solve -2*d = 4*z + 2, -15*z - 4*d = -10*z - 11 for z.
-5
Solve -w + 22 = -5*z, 2*w = -z - 16 + 5 for z.
-5
Solve -5*f + 6 = 453*h - 452*h, 4*h = f - 18 for h.
-4
Solve -5*q + 16 = -6*s + 3*s, 0 = 2*q - 10 for s.
3
Solve 2*f = -4*b - f + 7, 5*b - 6 = -f for b.
1
Solve -5*n - 5 = 0, -11 = 4*i - 9*n + 12*n for i.
-2
Solve -5*l + 6*l + b - 1 = 0, -3*l = b - 5 for l.
2
Solve -4*s = -y - 9, -65*s + 5*y + 29 = -61*s for s.
1
Solve 0 = -3*y - 9, -4*a + 3 + 12 = -y for a.
3
Solve -21 = -s - 5*s + 5*v, 0 = 5*v + 15 for s.
1
Solve -p + 3*q = 12, -5*q + 4 = -5*p - 6 for p.
3
Solve 4*g - 3*g + f = 0, -2*g - 3*f + 1 = 0 for g.
-1
Solve 5*h + 49 = -3*c, -3*c = 3*h + 2 + 31 for c.
-3
Solve -4*s - 2*i - 8 = 0, s + 3*i + 9 = -i for s.
-1
Solve -3*d + 5*a - 20 = 0, 4*d + 16 = -d + 4*a for d.
0
Solve 61*l - 4*x = 57*l - 4, -l + 15 = 3*x for l.
3
Solve 5*o + 13 = 3*z, -2*z + 5*o - 8 = 10*o for z.
1
Solve 0 = 3*g + 3*v - 6, -8 = 11*g - 7*g - 4*v for g.
0
Solve -2*h - 5 = -f, 0 = 4*f - 3*f - 4*h - 15 for f.
-5
Solve 3*v - 9 = 4*i, 7*i + 30 = 2*i for v.
-5
Solve 0 = -5*q + 2*a + 3, 2*a = -5*q + 2 + 5 for q.
1
Solve u - 4*o = -24, -113*u = -114*u + 5*o - 29 for u.
-4
Solve -3*v - 9 = 0, -5*s + 3*v = -v - 12 for s.
0
Solve -3*c + 3*z = -5 - 4, 3*c = -5*z + 17 for c.
4
Solve -5*f + 7*h = 4*h + 17, 0 = 4*f + h for f.
-1
Solve 2*i - 20 = 7*i - g, -2*i + 5*g = 8 for i.
-4
Solve -3*c - 18 = -81*h + 76*h, 3*h = 3*c + 12 for c.
-1
Solve 28 = 5*w + 2*q, -24*w + 4*q = -20*w for w.
4
Solve 3*c - 2*k + 1 = 0, 175*c = 172*c - 2*k + 7 for c.
1
Solve -3*k - 5*n = -35, 0 = 4*k + 118*n - 123*n for k.
5
Solve 2*m - 3*m - 8 = -3*l, -2*m - 2*l = -16 for m.
4
Solve 2*f + 3*o + 0*o = -1, -2*o - 22 = -4*f for f.
4
Solve 7*d = -21, -4*m = -8*m - 2*d - 18 for m.
-3
Solve -3*s + 2 = 4*h + 2*s, 2 = -4*h - 3*s for h.
-2
Solve x + 9 = 4*x + 3*s, -s = -4*x - 3 for x.
0
Solve 2*i + 2*m = 7*m - 24, -2*i = m for i.
-2
Solve 0 = -2*h - 4*z - 12, 3*z + 6 = -9 for h.
4
Solve -2*k = -a - 5, 10*a + 16 = k + 5*a for k.
1
Solve -30*j + 31*j + f = 8, -2 = 2*j - 4*f for j.
5
Solve 0 = -3*r - v + 5, 8*v - 5*v = 4*r + 2 for r.
1
Solve -b + 5*i = 3 | {
"pile_set_name": "DM Mathematics"
} |
as m*v + a + y*v**2 + q*v**3 + k*v**4 and give k.
9
Express -24*a - 6*a + a - 16*a as l*a + n and give l.
-45
Express -22*b + 8*b + 2 - 19*b as d + j*b and give d.
2
Rearrange (-11 + 5 + 30 + (-1 + 1 - 1)*(-1 - 4 + 3))*(3*i + i - 3*i) to the form n + h*i and give h.
26
Rearrange 2*t**3 + 6*t - 4*t**3 - 2*t to the form r*t + k*t**2 + m + f*t**3 and give f.
-2
Rearrange (9 + 0 + 1)*(-3 - 1 - 4)*(4 + 1 - 3)*(0*l - l + 2*l) to c + a*l and give a.
-160
Express (-2*r**2 + r**2 + 2*r**2)*(6 + 1 - 3)*(3*r - 2*r + r)*(11 - 11 - r) in the form p*r**3 + x + i*r + t*r**4 + s*r**2 and give t.
-8
Rearrange (-3 + 2 - 1)*((3*o - 3*o - 2*o)*(3 + 1 - 6) + 5 - 5 - 2*o - 4*o + 3*o + 2*o + o - 3*o + 5*o - 3*o - 5*o + 5*o) to the form p*o + l and give p.
-6
Express (-5*r + 2*r + 4*r)*(-10*r**3 + 0*r**3 + 24*r**3) as d*r**3 + k*r + v + f*r**2 + l*r**4 and give l.
14
Rearrange (-6*m - 16*m + 2*m)*(3*m + 0 + 1 - m) to c + u*m**2 + n*m and give u.
-40
Rearrange (-1 - i + 1)*(i - 39 + i + 16) to x*i + v + t*i**2 and give x.
23
Rearrange -124*x**2 - 99*x**2 + 5 - 5 to the form v*x + l*x**2 + a and give l.
-223
Rearrange (2 + 2*o + 21 - 48)*(6*o + o - 4*o) to the form s*o + b*o**2 + l and give s.
-75
Rearrange (10 - 10 - 5*x)*(-2*x - 2*x + 2*x) to the form q*x + l*x**2 + d and give l.
10
Rearrange (-46 - 5*v + 46)*(-2 - 2 + 3 + (-2 - 1 + 4)*(-4 + 5 + 1) + 2 - 3 + 2 + (-5 + 2 + 5)*(-1 + 3 + 0)) to the form n + c*v and give c.
-30
Rearrange -13*y - 1 + 4 - 3 to o*y + a and give o.
-13
Rearrange 35*r - 69*r + 21*r + (7 - 3 - 3)*(3*r + 0*r - 2*r) to s*r + v and give s.
-12
Express -9*q - q + 6*q - 26*q in the form j + o*q and give o.
-30
Rearrange (3*n + 4 - 4 + (6*n - 3*n - n)*(3 - 7 + 2))*(5 + 0 + 3) to c + k*n and give c.
0
Express (28*k**3 - 42*k**3 + 33*k**3)*(k + 3*k - 2*k) as r*k**4 + o*k**2 + j*k + q*k**3 + m and give r.
38
Express 4 - 6*l + 8*l + 0 as y + c*l and give c.
2
Express 5 - 5 + 5*q + 4*q - 4*q + 2*q + 0*q - 3*q + 2*q + (-1 - 1 + 3)*(-q + 2*q + 0*q) - q + 5*q - q + (3 + 2 - 3)*(-1 + 2*q + 1) as h*q + z and give h.
14
Express -3*m - 11*m + 59*m - 14*m as g*m + t and give g.
31
Express 2 + 3 - 6 + 0*p + p**3 - 4*p in the form g*p + q + t*p**2 + k*p**3 and give k.
1
Express -31*q - 3 + 3 as u*q + w and give u.
-31
Express (1 - 1 + 8)*(2*p - 6*p + 0*p) in the form z*p + k and give z.
-32
Rearrange 2*x - 2*x**3 - 2*x - 17*x**3 + 12*x**3 - 6*x**3 + (2*x + x**3 - 2*x)*(-4 - 1 + 3) to j*x + r + q*x**2 + l*x**3 and give l.
-15
Express 2*j + 3 - 4*j**3 + 3*j**3 + 2*j**3 - 2*j**3 in the form t*j + o*j**3 + l*j**2 + z and give o.
-1
Express 4 + 0*a**4 + 1 - 2*a**4 - 3 + 2*a**2 in the form k*a**2 + i + r*a + y*a**4 + p*a**3 and give i.
2
Express 3*u**2 + u - u**2 + 4*u**2 in the form r*u**2 + d*u + o and give d.
1
Rearrange 0 + 0 - 9*x**3 + (4*x**2 - x**2 - 4*x**2)*(0*x + x + 2*x) to the form n + i*x**3 + b*x**2 + q*x and give i.
-12
Express (w**2 + 4*w**3 - w**2)*(-5 + 4 - 1)*(0*w - w - 2*w) in the form p*w**4 + l*w + i*w**3 + s*w**2 + b and give i.
0
Rearrange (-3*z**2 + 2*z - 2*z)*(3 - 6 - 6) to the form m*z + v + d*z**2 and give d.
27
Express -5*j + 6*j + 0*j as n + o*j and give o.
1
Rearrange (-4 + 0 + 2)*(0*r + 2*r - 3*r)*(129 - 129 - 3*r) to the form c*r**2 + j*r + o and give c.
-6
Rearrange (-a**2 + 2*a - 2*a)*(-55*a - 553 + 553) to the form y*a**3 + u*a + r + c*a**2 and give y.
55
Rearrange -9 + 2*g - g + 4*g - 4*g to the form b*g + m and give m.
-9
Express -3*t**4 - 10*t**2 + t + t + t**4 + 4*t**2 as c*t**2 + q*t + b*t**4 + r*t**3 + k and give c.
-6
Express -2 + 45*s + 60*s - 92*s as r + u*s and give r.
-2
Express (4 - 3 + 0)*(6 - 16 - 9 + 0 - 2 + 0 + (0 + 0 - 1)*(-6 + 2 + 2))*(-5*a + 4*a + 3*a) as k*a + p and give p.
0
Express 8*h + 5*h**4 - 8*h + (-2*h - 3 + 3)*(5*h**3 - 5*h**3 + 2*h**3) + 2*h**4 + 2*h**4 - 2*h**4 as k*h**3 + f + v*h + x*h**4 + p*h**2 and give x.
3
Rearrange 21 + 68*v - 21 + 44*v to w*v + h and give w.
112
Rearrange -4 + u**2 - 28*u - 2 + 6 to the form j*u**2 + n*u + c and give j.
1
Rearrange -16 + 34 - 19 - 2*h**3 - h**2 + 2*h**4 to the form q*h**3 + y + l*h**4 + u*h**2 + f*h and give l.
2
Express -2*n**2 + n**2 - n**2 + (-7 + 1 + 11)*(4*n**2 + 0*n + 0*n) as q + m*n + y*n**2 and give y.
18
Rearrange (2 + 1 - 4 + (1 - 2 + 0)*(0 - 1 + 0) + 3 + 4 - 5 - 3 + 0 + 2 + 0 - 1 + 2)*(q**3 + q**3 + 0*q**3) to m*q**3 + c + r*q + z*q**2 and give m.
4
Express 2*x**4 + 3*x**4 - 3*x**4 + (2*x**3 - 5*x**3 + x**3)*(-7*x + 18*x + 10*x) in the form q*x**3 + i*x**4 + c*x**2 + b*x + r and give i.
-40
Rearrange (2*a - 6*a - 3*a)*(0*a**2 + 0*a**2 + 2*a + 2*a**2) to t*a + r*a**2 + l + x*a**3 and give l.
0
Rearrange -4*r**3 + 3*r**3 + 8*r**3 - 2*r**3 - 2*r**2 to q*r + a*r**2 + y + o*r**3 and give o.
5
Express 3*d - d**2 + d**4 - 1 + 4*d**4 + 3 - 3*d**4 in the form f*d**4 + g*d**3 + q + w*d + v*d**2 and give q.
2
Rearrange (4*t**3 - 3*t**3 - 2*t**3)*(6*t - 3*t - t) - 49*t**3 - 41*t**3 + 54*t**3 + 3*t**4 to a*t**3 + p + j*t**4 + b*t**2 + r*t and give a.
-36
Express -5 + 1 + 4 + 8*k in the form b + x*k and give b.
0
Rearrange -3193 - 2*h + 3193 - 7*h**3 + 3*h**2 to the form x + w*h**2 + m*h**3 + b*h and give b.
-2
Express (-2*i**2 - i**2 + 4*i**2)*((2*i + 3 - 3)*(-5*i + 2*i + 2*i) + 3*i - i**2 - 3*i + i) as u + v*i + o*i**3 + p*i**2 + y*i**4 and give y.
-3
Express (0 + 1 - 3)*(-6 + 2 + 3)*(-4*s**4 - 2*s**4 + 3*s**4) in the form v*s**4 + u*s**3 + a*s + r + f*s**2 and give v.
-6
Express 45*x - 12*x - 14*x + 67*x in the form v*x + f and give v.
86
Express -7 - t**4 + 7*t + 10 - t**2 - 1 in the form k*t**4 + p*t**3 + b*t**2 + v*t + s and give k.
-1
Rearrange (s + 6*s + s)*(-3 + 5 - 1) - 4*s + 3*s - 3*s to the form n + h*s and give h.
4
Rearrange (2*x + 2*x - x)*(-4*x + x - 2*x) to the form a*x + t*x**2 + f and give t.
-15
Express (-2 - 2*s + 2)*(s**2 + 0 + 0) + 0*s**3 - 42*s + 40*s - 3*s**3 in the form t + v*s**3 + a*s**2 + g*s and give g.
-2
Rearrange 32 + 2*v**2 + 3*v - 4*v**2 - 29 + v**3 to the form g*v**3 + b*v + d + a*v**2 and give g.
1
Rearrange 24*b - 37*b**2 - 16*b - 8*b to d*b**2 + v + t*b and give d.
-37
Express 2*n - 2*n - 25*n**2 as i*n + w + z*n**2 and give z.
-25
Express (0*k - k + 2*k)*(3*k + 0 + 0) + (6*k - 11*k + 7*k)*(-4 + 4 - k) in the form t*k + x*k**2 + g and give x.
1
Rearrange -h - 2*h + 0*h**4 - 7*h**3 + 2 + 2*h**4 + 9*h**3 to the form o*h**3 + b*h**2 + k*h**4 + q + j*h and give j.
-3
Express -14*b**2 + 31 + 16*b**2 + b**4 - 2*b**4 in the form k + w*b**4 + a*b**3 + y*b + i*b**2 and give w.
-1
Rearrange (0*f**2 + 9*f**2 - 1 - 1)*(0 - 1 - 1 + (-3 + 3 + 1)*(-2 + 0 + 0) - 4 - 2 + 4 + 0 - 2 + 1 + 1 + 2 - 1 + 0 - 1 - 1) to j*f + u*f**2 + b and give u.
-63
Express 0*f**3 + 31*f**4 - 33*f**4 + f**3 - 2*f**2 - 4 in the form q*f**3 + w*f**4 + m*f + p + u*f**2 and give p.
-4
Express -95*f**2 - 2 + 96*f**2 + 4*f**3 + 11*f**3 as u*f + h*f**2 + t + z*f**3 and give h.
1
Rearrange 39*t - 51 + 51 to u + q*t and give q.
39
Express 10*n - 7*n**3 + 2*n**3 + 3*n**3 - 3*n as z + i*n**2 + x*n**3 + k*n and give x.
-2
Rearrange t**2 - t**2 + 2*t**2 - 3*t**2 to the form q*t**2 + h*t + f and give q.
-1
Rearrange ((-d + d - 2*d)*(-4 + 0 + 5) + 2*d + 2*d - 5*d - 17*d - 8*d + 5*d)*(-5*d + 6*d + 2*d) to the form n + v*d + q*d**2 and give q.
-69
Express (i - i + i**3)*(-10 + 20 + 16) in the form r*i**2 + q*i + t*i**3 + b and give t.
26
Rearrange 16*l + 22*l + 17*l to v + y*l and give y.
55
Express -5 + 9*i + 3 + 1 + i**2 - 10*i in the form o + j*i + r*i**2 and give o.
-1
Express (-1 + t + 1)*(-5 + 4 + 2) - 2*t - 5*t + 5*t - 2*t + t + 0*t + 5 + 5 - 8 + 16*t in the form q*t + b and give q.
14
Rearrange 2 + 2*j**3 - 4*j**2 + 0*j**3 - 2 to m*j + z*j**2 + s + c*j**3 and give z.
-4
Express (2*s**2 + 3*s**2 - 4*s**2)*(-4447*s - 62*s**2 + 4447*s + (-1 + 1 - 1)*(2 - 2 + s**2)) in the form v*s**3 + c*s**4 + q + h*s + i*s**2 and give c.
-63
Rearrange -7*r - 2*r**3 + 2*r - 9*r**2 + 7*r**2 - 1 to c*r**2 + i*r + v + q*r**3 and give q.
-2
Rearrange 2*s**3 + 3*s**4 - 2*s + 1 + 4*s - 3*s**3 to p*s**4 + n*s**2 + g*s + j + h*s**3 and give h.
-1
Express 11*i - 3*i - 14 + 14 in the form y*i + o and give y.
8
Express (s**2 - 4*s**2 + s**2)*(4 - 7 - 7)*(s - s + 1 + s**2) in the form f*s**3 + g*s**2 + i + r*s**4 + d*s and give g.
20
Rearrange -14*b - 25 - 24 + 51 - 2 + 2*b + 2 + 4 + 2*b - 4 + (2 - 2 | {
"pile_set_name": "DM Mathematics"
} |
eplacement from cxxxzfxcsx. Give prob of sequence xf.
1/18
What is prob of sequence jx when two letters picked without replacement from jkxpjjkppkkkpk?
3/182
What is prob of sequence lw when two letters picked without replacement from ltggcclfw?
1/36
Calculate prob of sequence hkyk when four letters picked without replacement from {y: 1, h: 1, k: 2}.
1/12
Three letters picked without replacement from ininnii. What is prob of sequence iii?
4/35
Calculate prob of sequence wehh when four letters picked without replacement from rqqrrhrhrwecwrr.
1/8190
Four letters picked without replacement from ffff. Give prob of sequence ffff.
1
Two letters picked without replacement from zwcbboh. What is prob of sequence wc?
1/42
Two letters picked without replacement from gfdfrdffvvv. Give prob of sequence gr.
1/110
Four letters picked without replacement from {u: 5, w: 4, n: 6}. Give prob of sequence wunu.
4/273
Two letters picked without replacement from {k: 4, e: 3, s: 5}. What is prob of sequence ss?
5/33
Two letters picked without replacement from {f: 7, o: 2, q: 1}. What is prob of sequence ff?
7/15
Three letters picked without replacement from {a: 2, n: 1, g: 1, l: 2, p: 1, y: 2}. Give prob of sequence gyp.
1/252
Two letters picked without replacement from {h: 1, i: 1, f: 1, x: 1, d: 1}. Give prob of sequence df.
1/20
Three letters picked without replacement from bxxxbsxqxbxqqb. Give prob of sequence qqq.
1/364
What is prob of sequence kmr when three letters picked without replacement from {v: 1, r: 2, k: 11, m: 2, w: 1, q: 1}?
11/1224
Calculate prob of sequence ii when two letters picked without replacement from {i: 3, z: 3}.
1/5
Calculate prob of sequence jjww when four letters picked without replacement from {j: 16, w: 2}.
1/153
Calculate prob of sequence ao when two letters picked without replacement from aoaoaaaaoaa.
12/55
Two letters picked without replacement from {m: 4, d: 1, t: 1, q: 2}. Give prob of sequence dq.
1/28
Calculate prob of sequence mgm when three letters picked without replacement from ccgmgmdmmcmd.
1/33
Calculate prob of sequence ykk when three letters picked without replacement from {o: 6, y: 7, k: 4}.
7/340
Three letters picked without replacement from zbzzbbbbbbbbbz. What is prob of sequence zbz?
5/91
Three letters picked without replacement from yzzyzyyy. Give prob of sequence yzy.
5/28
Two letters picked without replacement from miimmmimii. Give prob of sequence im.
5/18
Calculate prob of sequence hg when two letters picked without replacement from {s: 1, g: 2, j: 3, h: 1}.
1/21
Two letters picked without replacement from {r: 5, s: 5, j: 5, e: 5}. Give prob of sequence er.
5/76
Four letters picked without replacement from ppxpyxyyyxyppypxy. Give prob of sequence yypy.
3/136
What is prob of sequence hvmj when four letters picked without replacement from {m: 1, h: 3, j: 4, v: 7, s: 4}?
7/7752
Calculate prob of sequence vb when two letters picked without replacement from vvvvvvbhjyvv.
2/33
What is prob of sequence iio when three letters picked without replacement from {x: 1, o: 2, j: 8, i: 2}?
1/429
Three letters picked without replacement from {j: 4, i: 2, r: 1}. Give prob of sequence jii.
4/105
Calculate prob of sequence nnkn when four letters picked without replacement from kknnkknkkkkkknkkkkk.
5/1292
Calculate prob of sequence kc when two letters picked without replacement from {k: 3, p: 8, h: 1, c: 1, o: 2, a: 1}.
1/80
Three letters picked without replacement from vkysspyv. What is prob of sequence vpv?
1/168
Two letters picked without replacement from ggczwhj. Give prob of sequence jc.
1/42
Four letters picked without replacement from {i: 8, c: 9, q: 1, o: 2}. What is prob of sequence oocc?
2/1615
Three letters picked without replacement from {f: 2, s: 4, r: 10}. What is prob of sequence sfs?
1/140
What is prob of sequence hu when two letters picked without replacement from {o: 1, s: 1, p: 1, u: 1, h: 1}?
1/20
Three letters picked without replacement from bbbblbbllbb. What is prob of sequence llb?
8/165
Four letters picked without replacement from ettttttjttejt. Give prob of sequence ejje.
1/4290
Three letters picked without replacement from {z: 3, o: 2, t: 1, b: 4, r: 1, w: 1}. Give prob of sequence zoz.
1/110
What is prob of sequence qpx when three letters picked without replacement from {i: 1, e: 1, q: 1, x: 1, a: 2, p: 1}?
1/210
Two letters picked without replacement from {s: 11, k: 9}. What is prob of sequence ss?
11/38
Two letters picked without replacement from npqqqutpqqnqpq. What is prob of sequence qq?
3/13
What is prob of sequence mmm when three letters picked without replacement from mmmmmmmmmm?
1
Calculate prob of sequence qz when two letters picked without replacement from zdqdldlyoqqdodd.
1/70
Two letters picked without replacement from {l: 4, w: 4, c: 2}. Give prob of sequence cw.
4/45
Three letters picked without replacement from fffffff. Give prob of sequence fff.
1
Three letters picked without replacement from {y: 4, r: 2, a: 7}. Give prob of sequence yyy.
2/143
What is prob of sequence yyyk when four letters picked without replacement from kykkykkykkkkyyyyykky?
77/1615
Three letters picked without replacement from tcccvtvctttttctvvtt. What is prob of sequence tcv?
100/2907
What is prob of sequence bba when three letters picked without replacement from svbgaqsvssbqqq?
1/1092
What is prob of sequence kmbz when four letters picked without replacement from mmdhbkzk?
1/420
Calculate prob of sequence ff when two letters picked without replacement from fffffffff.
1
Calculate prob of sequence nm when two letters picked without replacement from {w: 2, m: 6, y: 1, n: 5, u: 5}.
5/57
Calculate prob of sequence jj when two letters picked without replacement from {v: 13, j: 3, t: 1}.
3/136
Three letters picked without replacement from {i: 1, g: 1, u: 5, r: 2}. Give prob of sequence rgu.
5/252
Two letters picked without replacement from {x: 4, v: 10, d: 1, r: 3}. What is prob of sequence xv?
20/153
Calculate prob of sequence op when two letters picked without replacement from cutoocupproocoo.
2/35
Three letters picked without replacement from {v: 2, y: 1, m: 7}. Give prob of sequence mvv.
7/360
What is prob of sequence oo when two letters picked without replacement from ooooooooo?
1
Four letters picked without replacement from eseessls. What is prob of sequence sese?
3/70
What is prob of sequence dd when two letters picked without replacement from {l: 2, d: 9}?
36/55
What is prob of sequence dqn when three letters picked without replacement from dddqnqqd?
1/28
Four letters picked without replacement from {q: 3, n: 3}. What is prob of sequence nqnq?
1/10
Three letters picked without replacement from kkekekekeekkkk. What is prob of sequence ekk?
15/91
Three letters picked without replacement from {r: 2, a: 1, c: 1, x: 2, y: 1, n: 1}. What is prob of sequence anc?
1/336
Three letters picked without replacement from {l: 10, j: 2, m: 5, u: 3}. What is prob of sequence ujm?
1/228
What is prob of sequence vcv when three letters picked without replacement from ykvcivy?
1/105
Four letters picked without replacement from {w: 2, u: 1, e: 2, b: 1}. Give prob of sequence ewwu.
1/90
Four letters picked without replacement from smphspi. What is prob of sequence mpps?
1/210
Two letters picked without replacement from {m: 5}. Give prob of sequence mm.
1
Three letters picked without replacement from qqjcgcccsjggjqcjcc. Give prob of sequence qsj.
1/408
Four letters picked without replacement from {l: 6, b: 4, y: 5}. Give prob of sequence llbl.
4/273
What is prob of sequence bc when two letters picked without replacement from cccccccb?
1/8
What is prob of sequence dvdv when four letters picked without replacement from {v: 5, d: 5}?
5/63
Two letters picked without replacement from eeeeepffdpeedppef. What is prob of sequence ee?
7/34
What is prob of sequence pps when three letters picked without replacement from {p: 3, s: 4}?
4/35
Two letters picked without replacement from mmmmmmmwwwmmmwmmwmmm. Give prob of sequence mw.
15/76
Two letters picked without replacement from jcecjgejggecc. Give prob of sequence eg.
3/52
What is prob of sequence pspx when four letters picked without replacement from {j: 1, p: 5, y: 1, x: 3, c: 6, s: 3}?
5/2 | {
"pile_set_name": "DM Mathematics"
} |
h + 20 = -f + 7*h. Put 14, 1, f in ascending order.
f, 1, 14
Let h be 2/6*(8 + -128)/(-10). Suppose 5*v + 24 = -3*w, 4*v - h*w + 9 = -3*w. Sort v, -12, -5.
-12, -5, v
Let p = 5 - 0. Let l = 32916 + -32903. Put l, p, 2, 0 in increasing order.
0, 2, p, l
Let b = -344 + 499. Let p = -159 + b. Put -9, -2, p in increasing order.
-9, p, -2
Let v be 2/2*2*2. Suppose -4*n - 53 = 4*z - 49, 5*z - 13 = n. Sort 1, n, 0, v.
n, 0, 1, v
Suppose 0 = 27*a - 501 + 393. Put 4/5, -1/26, a in ascending order.
-1/26, 4/5, a
Suppose -33*h + 191 - 103 = -11*h. Sort h, -3, -25.
-25, -3, h
Let m(v) = -v**3 - 88*v + 2. Let a be m(0). Sort 3, a, 289 in ascending order.
a, 3, 289
Suppose 0 = -5*u + 4*x - 70, 0 = 4*u + 30*x - 32*x + 50. Sort 2, 3, u, -1 in descending order.
3, 2, -1, u
Let c = 20604 + -20604.3. Sort 3/44, c, 1/9, -2/5.
-2/5, c, 3/44, 1/9
Suppose -t + 3*n + 12 = 0, 2*t + 2*n - 12 = 4*n. Suppose -5 = -48*q + 53*q. Put q, t, -4, 15 in decreasing order.
15, t, q, -4
Let n = -0.4259 + 0.2259. Sort -0.28, -5, n, 2.
-5, -0.28, n, 2
Let o be (((-270)/(-360))/((-6)/8))/1. Sort -12, o, -3 in descending order.
o, -3, -12
Let f = 4.1431 - 0.1431. Let r = -0.3 + 0.2. Let o = 3 + -6. Put f, o, r, 1/3 in ascending order.
o, r, 1/3, f
Let d be 141/3 - (14/(-35))/((-2)/10). Sort -3, d, 14 in decreasing order.
d, 14, -3
Suppose 0 = -5*n - 45 - 15. Let r be (n/(-3))/2 + 0. Let t be 12 + (-33)/(-22) + (-114)/12. Sort r, 5, 0, t in descending order.
5, t, r, 0
Let k be (560/(-1008))/((-2)/18). Let z = 2.63 + 0.07. Let t = z + -3. Sort t, k, 1/4 in decreasing order.
k, 1/4, t
Suppose j = -24*v - 101 - 187, 3*j + 24 = -2*v. Let s(z) = -z**3 - 6*z**2 + z + 7. Let t be s(-6). Sort j, 105, t in ascending order.
j, t, 105
Suppose 485 = -4442*h + 4345*h. Sort -1, 14, h, 20 in decreasing order.
20, 14, -1, h
Let a = -34.5 + -11.5. Let d = a + 34. Let x be (-15)/9 + 2 + 21/(-36). Sort x, d, -1/6 in descending order.
-1/6, x, d
Let o = -4.1 - 0.9. Let x(w) = -1566*w - 18791. Let h be x(-12). Sort h, o, -1/5, -6 in descending order.
h, -1/5, o, -6
Let f = -9 + 15. Let g(t) = -t**2 + f - 5*t - 13 + 18 + 41. Let j be g(-10). Put 2/21, j, -1/2, 1/8 in increasing order.
-1/2, 2/21, 1/8, j
Let v be -1 + 26/22 + (-14896)/(-836). Let x be 14/(-2) + v/(-13 + 16). Put 5, 14, x in decreasing order.
14, 5, x
Suppose -17*w + 26*w = -5778. Let t = w - -645. Sort 81, 0, t in ascending order.
0, t, 81
Let r = -108 - -109. Let q be (84/35)/(6/40). Let k = -20 + q. Put -1, k, r, 0 in decreasing order.
r, 0, -1, k
Let k(c) = 272*c + 2181. Let b be k(-8). Sort -128, b, 28, -5 in decreasing order.
28, b, -5, -128
Suppose 0 = 5*r + 4*o - 4, -3*r + 2*o + 24 = -o. Let b be 172/(-36) - (-4)/(-18). Suppose 3*x - 3 = 6. Put b, x, r in ascending order.
b, x, r
Suppose -3*z + 4 + 8 = 0. Let o = -1510 + 624. Let d = o - -889. Sort -14, z, 2, d.
-14, 2, d, z
Let n be 27/33*(-13 + (-714)/(-54)). Put -1, 0.23, 3/10, -0.1, n in ascending order.
-1, -0.1, n, 0.23, 3/10
Let m(j) = -j - 12. Let k be m(-14). Let f be 15/84*16/k. Let s = -1/14 - f. Sort s, -0.4, 3 in decreasing order.
3, -0.4, s
Let a(v) = -v**3 + 4*v**2 + 25*v + 7. Let c be a(7). Suppose c*s = 43*s - 152. Let g be (-92)/84 + 2/3. Put g, s, 3 in decreasing order.
s, 3, g
Let y be (-158)/102 - (520/24)/(-13). Let n = -1/280 - 79/280. Sort n, -0.9, y in decreasing order.
y, n, -0.9
Let x = -5.934 - -2.146. Let h = x - 0.212. Put 0, 1/20, h, 1/3 in descending order.
1/3, 1/20, 0, h
Let k be -3 + (-57)/(-15) + (-296)/20. Let x be (-39)/k + (-4)/14 - 4. Sort -0.4, 0.1, x in ascending order.
x, -0.4, 0.1
Suppose -12*v + 8*v = g - 188, 4*g - 3*v = 657. Sort -4, g, -2 in increasing order.
-4, -2, g
Suppose -4*m = -p - 25, 3*m - 3*p - 5 - 25 = 0. Suppose 4*s = 20 - 28. Let b be (-5 + 5)/(s*(2 + -1)). Put m, -2, 6, b in ascending order.
-2, b, m, 6
Let j(z) = -z**2 + 14*z - 13. Let c be j(13). Let u be (2 - c)/(5/(75/6)). Suppose -12 = 5*y - 2*y. Sort -3, 2, u, y.
y, -3, 2, u
Let n be 47/5 + 0 - (-210)/(-21). Sort n, 1/3, 2, -6, -0.4 in descending order.
2, 1/3, -0.4, n, -6
Let j be 1/(-19) + (-15 - 3247/(-323)). Put j, 3, -17 in ascending order.
-17, j, 3
Let k = -68.439 + 70.439. Let g = -11 + 16. Put g, -0.1, 0.1, k in descending order.
g, k, 0.1, -0.1
Let s = 11730 - 58653/5. Put s, -0.5, 51.5, 3/8 in descending order.
51.5, 3/8, -0.5, s
Let r = 6918.6 + -6919. Sort 3/4, 0, r, -173, 3/5 in increasing order.
-173, r, 0, 3/5, 3/4
Let f be ((-2)/2)/(-9 - 40144/(-4462)). Let q = f - 319. Sort 8/5, q, 5/4 in descending order.
8/5, 5/4, q
Let k = 1 - -49. Let u = k - 60. Let t = u - -8. Sort -3, -5/2, 4, t in ascending order.
-3, -5/2, t, 4
Suppose -6*i - 64 = 10*i. Let b be 90*(44/(-110))/((-8)/(-10)). Sort b, i, -1/4 in ascending order.
b, i, -1/4
Let l(a) = -a - 7. Let g be l(-5). Suppose 28*o = -14*o + 84. Suppose -4*n + 5 = 5*r, 3*r - o*r = 4*n + 1. Put 13, g, r in decreasing order.
13, r, g
Suppose -6*q + 13 = -5*w, -q + 2*w + 9 - 8 = 0. Sort 12, q, 1 in descending order.
12, q, 1
Let y be (-1)/((-4)/8*(-2)/(-9)). Suppose 4*p = -5*u + 22 + 23, 5*u = -3*p + 30. Suppose p*g - y = 6. Sort g, -5, -1.
-5, -1, g
Suppose -2*v + b = 43 - 49, 4*b = 5*v - 18. Sort 1/15, v, -3/5, -4, 4.
-4, -3/5, 1/15, v, 4
Let r = -1.74 + 1.94. Suppose 196 = -2*s - 2*a + 46, -2*s - a - 146 = 0. Let m = 567/8 + s. Sort r, m, 1.
m, r, 1
Let y = 308 - 292. Suppose -h = w + 3*h + y, -8 = 5*w + 2*h. Sort -4, 1, w, -6.
-6, -4, w, 1
Suppose 2544 = 27*h - 3018. Let d = h + -1038/5. Sort 0, d, -3 in descending order.
0, d, -3
Let j = 0.171794 - -4.828206. Let a = 0.3 + 0.7. Let t = 1.5 - a. Sort t, j, 27 in ascending order.
t, j, 27
Let r = -347 - -342. Let x(f) = -2*f**2 + 3*f**2 + 9*f + f**2 - 7. Let s be x(r). Sort 0.01, s, -1/2 in ascending order.
s, -1/2, 0.01
Let u = -21266 + 21270. Let j(k) = k + 2. Let f be j(-5). Put -9, 5, f, u in decreasing order.
5, u, f, -9
Let d = -0.3 - -0.2. Let y = 0 - d. Let z be ((-64)/100 - -1)/((-480)/(-800)) - 1. Put y, -1, z in descending order.
y, z, -1
Suppose 0 = -13*r - 23 - 29. Let l be r/(-14) + 1/(-28). Put 7/5, 3/5, l, -0.1 in increasing order.
-0.1, l, 3/5, 7/5
Suppose 81*a + 261 - 18 = 0. Let s = 35 - 25. Let l = -14 + s. Put l, 4, a, 5 in descending order.
5, 4, a, l
Let p = -64/595 + -3/85. Let t(s) = -s**2 + 15*s + 13. Let u be t(16). Sort -5/3, p, 5, u in increasing order.
u, -5/3, p, 5
Let r(i) = -597*i - 26. Let y be r(0). Put 7, 4, y, 1, 2 in descending order.
7, 4, 2, 1, y
Let f be (32/(-40))/2*100/(-260). Let s = -96 - -157. Sort 1, f, s in descending order.
s, 1, f
Let p = -12 + 33. Let s be p/(-12)*1/21*-2. Sort s, -0.2, -41 in descending order.
s, -0.2, -41
Let a be 3*(-3)/(-81)*(-87)/4147*-26. Let i = 0.3 + -0.2. Sort i, a, -4 in decreasing order.
i, a, -4
Let o(c) = 17*c + 115. Let r be o(-6). Suppose 3*i = -5*n - r, 2*n + 4*i + 4 = -2*n. Put n, 5, -3, 1 in ascending order.
n, -3, 1, 5
Let z(h) = h**2 - 8*h + 1. Let q be z(8). Let f(b) = b**2 - 42*b - 2997. Let y be f(80). Put 4, y, -4, q in ascending order.
-4, q, 4, y
Let u = -58 + 24. Let g = u + 33.984. Let v = g - -0.216. Put -3, 11, v in ascending order.
-3, v, 11
Let d(l) = -3*l + 29. Let w be d(8). Let q = w - -37. Put q, -5, -1, -2 in descending order.
q, -1, -2, -5
Let y(z) = z**2 - 45*z + 291. Let q be y(37). Let f = 2 - 3. Let m(v) = -v**3 - 8*v**2 + 10*v + 7. Let n be m(-9). Sort n, 3, f, q.
q, n, f, 3
Let v = 175.98 + -176. Let x = 47/261 - 2/29. Suppose -4*p = z + p + 12, -z + 4*p = -15. Put z, x, v in descending order.
z, x, v
Let g = -0.7355 + 3.0355. Sort 5, g, -0.005.
-0.005, g, 5
Suppose -155 - 230 = -77*d. Suppose 4*p - 2 = 3*p. Let n be (-4 + p)*(2 - 4). Sort d, -4, n, -6 in decreasing order.
d, n, -4, -6
Let h = -349/14 + 4567/154. Sort h, 1, 0.5, 2 in decreasing order.
h, 2, 1, 0.5
Let d be 176/(-40)*1*5. Let q = 1263 + -1262.5. Sort -0.5, d, q.
d, -0.5, q
Suppose 10*n = -2*s + 13*n + 22, -5*s + 3*n = -37. Sort 24, 3, -32, s in increasing order.
-32, 3, s, 24
Let u(d) = 2*d**3 - d**2 - d + 2. Let x be u(0). Let b be -5 - (-2 - (x + 0 - 3)). Let o = 90 - 357/4. Sort -2/29, o, b in decreasing order.
o, -2/29, b
Let m = -9 - -9.1. Let l = m + -56.1. Let u = l - -60. Sort 2, -3/4, -1, u.
-1, -3/4, 2, u
Let b be 3120/507 - (-1 - -7). Suppose 0*i + 2*i + 406 = 0. | {
"pile_set_name": "DM Mathematics"
} |
(f) be the second derivative of -11*f**4/3 + 55*f**2/2 - 246*f + 1. Let u(p) = p**2 - 1. What is h(m) + 55*u(m)?
11*m**2
Let s(p) = 0*p + 2*p + 4 + 0*p - 7*p. Let q = 741 + -745. Let c(x) be the second derivative of -5*x**3/3 + 9*x**2/2 - 11*x. Give q*c(w) + 9*s(w).
-5*w
Let x(y) = -2*y**2 - 32 + 67 + 6*y - 8*y - 31. Let z(a) = -3*a**2 - 3*a + 5. Calculate -4*x(o) + 3*z(o).
-o**2 - o - 1
Let k(t) = t - 1. Suppose -3*j + 6 = -9. Let q(o) = -2 - 4*o - 2 - 24*o**2 + j + 23*o**2. Let g be ((-9)/(-27))/((-2)/6). Calculate g*q(p) - 2*k(p).
p**2 + 2*p + 1
Let g(i) be the third derivative of -i**5/20 + i**4/2 - i**3 + 280*i**2. Let t(y) = 2*y**2 - 11*y + 5. Determine 3*g(j) + 4*t(j).
-j**2 - 8*j + 2
Let u = -1 + 2. Let i(j) = -6*j - 2. Suppose -276 = -3*o - 261. Suppose 5*b + o = 3*g - 15, 4*g - 4*b - 24 = 0. Let x(q) = q. Give g*x(l) + u*i(l).
-l - 2
Let c(m) = -m - 39. Let n(d) = -22. Let p(x) = 3*c(x) - 5*n(x). Let o(a) = 3*a + 8. Determine -6*o(z) - 7*p(z).
3*z + 1
Let r(a) = -55*a**2 - 85*a + 85. Let f be ((-8)/(24/15) - -14) + (-1 - 2). Let j(x) = 4*x**2 + 6*x - 6. Give f*r(k) + 85*j(k).
10*k**2
Let l(y) = -4*y**3 - 5*y**2 + 8. Let b(u) be the third derivative of -u**5/60 + 2709*u**2. Calculate 5*b(g) - l(g).
4*g**3 - 8
Suppose -147 + 153 = z, -5*z + 8 = 2*w. Let a(b) = 316*b**3 + 11*b**2 - 11*b + 11. Let u(j) = 63*j**3 + 2*j**2 - 2*j + 2. Give w*u(n) + 2*a(n).
-61*n**3
Let k(w) = 612*w**2 + 14*w + 9. Let m(v) = 305*v**2 + 7*v + 4. Calculate -4*k(s) + 9*m(s).
297*s**2 + 7*s
Let l(c) = 6*c**2 + 10*c - 26. Let r(m) = m**2 + 4*m - 8. Determine -3*l(d) + 8*r(d).
-10*d**2 + 2*d + 14
Let y(m) = -6*m**3 - 4*m**2 + 2. Let n(b) = b**3 - b**2. Give 4*n(a) - y(a).
10*a**3 - 2
Let t(z) = 56*z**3 + 14*z - 12. Let d(l) = 24*l**3 + 7*l - 7. Give 5*d(o) - 3*t(o).
-48*o**3 - 7*o + 1
Let f(v) = -5*v + 21. Let k be 8 + (-2 - -65094) + -4. Let i(g) = 11 + k*g - 6 - 65097*g. Determine -4*f(m) + 18*i(m).
2*m + 6
Let z(s) = -622*s + 4. Let i(f) = -14*f - 1. Determine 20*i(x) + 5*z(x).
-3390*x
Let t(r) = 371*r + 15449. Let s(j) = 7*j + 297. Calculate -105*s(h) + 2*t(h).
7*h - 287
Let x(j) = -4*j**3 + 8*j**2 - 13*j + 5. Let n(h) = 3*h**3 - 7*h**2 + 10*h - 7. Give -5*n(m) - 4*x(m).
m**3 + 3*m**2 + 2*m + 15
Let t = 993 + -997. Let i(x) = 14*x**2 - 11*x + 11. Suppose c = -0*c + 2. Suppose c*m + 11 = m. Let q(w) = -5*w**2 + 4*w - 4. What is m*q(g) + t*i(g)?
-g**2
Let f(i) = -5*i**2 + 336*i - 12. Let j(u) = 6*u**2 - 336*u + 16. Calculate -5*f(t) - 4*j(t).
t**2 - 336*t - 4
Let v(l) = -24*l - 33. Let p(u) = 3*u + 4. Let x = -979 - -1012. Calculate x*p(r) + 4*v(r).
3*r
Let x(p) = 35*p**2 - 3*p. Let h(n) = 20*n**3 - 210*n**2 + 7*n - 1. What is h(w) + 6*x(w)?
20*w**3 - 11*w - 1
Let t be ((6 - 2) + -1)*1. Suppose 2*z - 543 = -3*r - 517, 0 = 2*r - z - 15. Let p(w) = -4*w**3 - 8*w**2. Let h(q) = q**3 + 3*q**2. Calculate r*h(v) + t*p(v).
-4*v**3
Let b(u) = -29*u**2 + 9*u. Suppose 24 = 50*m - 42*m. Suppose m*l = -15 + 42. Let g = -40 + 38. Let t(k) = -7*k**2 + 2*k. What is g*b(d) + l*t(d)?
-5*d**2
Let p(z) = z**3 - z**2 + 2*z - 3. Let q(b) be the third derivative of 0*b**5 + 29*b**2 - 1/6*b**3 + 0 + 0*b + 1/120*b**6 + 1/24*b**4. What is p(g) - 3*q(g)?
-2*g**3 - g**2 - g
Let f(d) = -2*d**2. Let j(z) = -z**2. Suppose 0 = -598*h + 592*h - 24. Suppose -3*q + 1080 = -9*q. Let m be ((-3)/(-9))/(5/q*h). What is m*j(g) - 4*f(g)?
5*g**2
Let d(o) = 12*o**3 + 9*o + 9. Let j(g) be the third derivative of -g**6/20 - 5*g**4/24 - 5*g**3/6 - 240*g**2 + 4. Determine 5*d(x) + 9*j(x).
6*x**3
Let s(x) = -x**3 - 17*x**2 + 9*x - 11. Let u(a) = -180 + 397 - 3*a + 7*a**2 - 213 - a**2. Determine 6*s(w) + 17*u(w).
-6*w**3 + 3*w + 2
Let l(t) = -117*t + 572. Let m(v) = -408*v + 1716. Determine 7*l(w) - 2*m(w).
-3*w + 572
Let u(t) = 405*t**2 + 55*t - 55. Let m(v) = 29*v**2 - 15940*v + 31888*v - 15944*v - 4. Give -55*m(j) + 4*u(j).
25*j**2
Let x(f) = 1. Let h(y) = -y**2 - 2*y - 349. Give -h(j) - 3*x(j).
j**2 + 2*j + 346
Let c(p) = 5*p**3 - 2028*p**2 - 3*p + 3. Let f(j) = -14*j**3 + 6084*j**2 + 8*j - 8. Determine 8*c(n) + 3*f(n).
-2*n**3 + 2028*n**2
Let t(w) = w - 8. Let z(r) = 2*r - 2. Let i(y) = -15*y - 14*y - 10*y + 25*y + 27. Let f(g) = i(g) + 6*z(g). What is -6*f(h) - 11*t(h)?
h - 2
Let f(r) = -1826*r**3 + 208*r**2 - 4. Let j(h) = 1827*h**3 - 260*h**2 + 5. What is -5*f(a) - 4*j(a)?
1822*a**3
Let x(n) = 13*n**3 + 511*n**2 - 43*n + 4. Let q(l) = -7*l**3 - 255*l**2 + 24*l - 2. Give 9*q(y) + 5*x(y).
2*y**3 + 260*y**2 + y + 2
Let n(b) = b**2 - 1. Let h = 2 + 0. Let f(o) = 0*o + h*o**3 + 2 + 2*o**2 + 2 - 4*o**2 + 3*o. Let g = -1500 + 1496. Calculate g*n(r) - f(r).
-2*r**3 - 2*r**2 - 3*r
Let q(z) = 6*z**2 + 16*z + 14. Let y(o) = 4*o**2 + 11*o + 9. Suppose 0 = 3*f + 4*r + 96 - 60, 0 = 2*f - r + 13. Determine f*y(d) + 5*q(d).
-2*d**2 - 8*d - 2
Let i(p) = 11665*p**3 - 40*p**2 - 14*p - 5. Let s(b) = 5832*b**3 - 24*b**2 - 8*b - 3. Give -3*i(x) + 5*s(x).
-5835*x**3 + 2*x
Let o(p) = 3*p. Let s(a) = 141*a - 12*a**2 - 130*a + 6*a - 185*a - 2*a**2. What is 168*o(k) + 3*s(k)?
-42*k**2
Let j(o) = 2*o**2 - 9*o - 5. Let b(k) = -k - 1. Let q = 34 + -20. Suppose -32 + q = -3*a. What is a*b(i) - j(i)?
-2*i**2 + 3*i - 1
Let q(a) = 2*a**3 + 2*a**2 + 5. Let d = 12423 - 12416. Let g(h) = 6*h**3 + 6*h**2 + 16. Determine d*q(z) - 2*g(z).
2*z**3 + 2*z**2 + 3
Let m = -51636 - -51640. Let l(y) = 6*y**2 - 7*y - 6. Let x(c) = -5*c**2 + 6*c + 5. Let i = 21 - 6. Let n be (-1)/(3/i)*-1. Calculate m*l(j) + n*x(j).
-j**2 + 2*j + 1
Let k(l) = 21*l**2 - 11*l + 18. Let i(s) = 7*s**2 - 4*s + 7. Let j(c) = -8*i(c) + 3*k(c). Let t(w) = -22*w**2 + 4*w + 7. What is -7*j(m) - 2*t(m)?
-5*m**2 - m
Let q(m) = -m**3 + 10*m**2 - 11*m - 33. Let n be q(8). Let y(x) = -19*x + 2. Let f(l) = 28*l - 3. Give n*y(i) + 5*f(i).
7*i - 1
Let w(z) = -z**3 + z**2. Let h(r) be the second derivative of r**5/20 - r**4/4 - 5*r**2/2 + 7677*r. Suppose -6 = -4*s + 6. Calculate s*w(d) + h(d).
-2*d**3 - 5
Let t(f) = -16*f**3 - 11*f**2 - 2485*f. Let a(i) = 3*i**3 + 2*i**2 + 497*i. Give 11*a(c) + 2*t(c).
c**3 + 497*c
Let q(p) = 5109*p**2 - 11*p - 8. Let u(h) = -1700*h**2 + 4*h + 3. Determine 3*q(s) + 8*u(s).
1727*s**2 - s
Let f(j) = -13*j**2 - 237*j - 16. Let d(v) = 4*v**2 + 80*v + 6. What is 8*d(u) + 3*f(u)?
-7*u**2 - 71*u
Let k(n) = 39*n - 255. Let s(p) = 14*p - 85. Determine -6*k(z) + 17*s(z).
4*z + 85
Let j(x) = -4*x**2 + 2. Let q(t) = -307*t**2 - t - 10. Determine 5*j(m) + q(m).
-327*m**2 - m
Let l(o) = o**2 - 9*o + 1. Let k(h) = 54*h**2 + 157*h - 12. Calculate -k(i) - 12*l(i).
-66*i**2 - 49*i
Suppose -8*n + 184 = -472. Let h(p) = 0*p + 89 - p + n - 172. Let x(c) = c + 6. Determine 6*h(y) + x(y).
-5*y
Let x(m) = -1. Let c(b) = -16*b**2 + 3*b + 3. Let j(i) = -10*i**2 + 2*i + 2. Let n(o) = 2*c(o) - 3*j(o). What is -n(r) + 4*x(r)?
2*r**2 - 4
Let c = 285 + -288. Let n be (2/4)/(-8*3/(-48)). Let h(z) = -3*z. Let y(l) = -2*l. What is c*y(j) + n*h(j)?
3*j
Let n(b) = 67*b. Let s(h) = 232*h + 188. Give -3*n(g) + s(g).
31*g + 188
Let h(x) = x - 1. Let t(d) = -5*d + 16. Suppose 2*i + 2 = -4*y, 35*y = 31*y - 5*i - 11. Determine y*t(m) + 6*h(m).
m + 10
Let k(j) = j - 1. Let o(l) = -2*l**3 + 140*l**2 + 2*l - 5. What is k(u) - o(u)?
2*u**3 - 140*u**2 - u + 4
Let u(s) = -11*s**3 + 3*s. Let a(g) = g**3 + g + 5998 - 5998. Give -4*a(n) + u(n).
-15*n**3 - n
Let l(v) be the second derivative of 11*v**3/6 - 2*v**2 - 32*v. Let s be 1 + -4 + -3 + -7 + 6. Let n(b) = -21*b + 7. What is s*l(i) - 4*n(i)?
7*i
Let s(b) = -311*b + 2. Let h(a) = -837*a + 5. Let j(u) = 3*h(u) - 8*s(u). Let d(q) = -11*q - 1. What is -5*d(i) + 3*j(i)?
-14*i + 2
Suppose 0 = -11*y + 62 + 158. Suppose j - y = -22. Let o(u) = 5*u + 2. Let b(z) = -10*z - 5. What is j*b(q) - 5*o(q)?
-5*q
Let s(u) = -6183*u - 62. Let m(y) = -4122*y - 44. Determine -7*m(z) + 5*s(z).
-2061*z - 2
Let g(u) be the first derivative of 8*u**3/3 - 25*u**2/2 - 2*u - 2358. Let w(o) = o**2 + o. Calculate -g(b) + 6*w(b).
-2*b**2 + 31*b + 2
Let k(l) = 3*l - 1 + 3*l + 4*l - 8*l - l. Let c(m) = 0*m**2 - m**2 + 6 - 6*m**3 - 3*m**3 + 10*m**3 - 6*m. What is -c(h) - 6*k(h)?
-h**3 + h**2
Let n(i) = -44*i + 425. Let c(u) = 87*u - 898. Determine -4*c(k) - 9*n(k).
48*k - 233
Let y(c) be the first derivative of -c**3/3 + c**2/2 + c + 1. Let p(z) = -6*z**2 + z + 1. Suppose s - | {
"pile_set_name": "DM Mathematics"
} |
0.2, -5/2?
-11
What is the second biggest value in -0.24, 4, -3, 3?
3
What is the second biggest value in -2/3, 2.8, 5, 0?
2.8
What is the smallest value in -1, -414, -1/5?
-414
What is the biggest value in 0.2, -2/375, 0.1?
0.2
What is the second smallest value in -0.2, 1, 7, -3?
-0.2
Which is the fourth biggest value? (a) -5 (b) 1/2 (c) -3/8 (d) -4 (e) 1/11
d
Which is the third biggest value? (a) 0.3 (b) -3 (c) 1/4
b
Which is the third biggest value? (a) -0.4 (b) 5 (c) 1 (d) -201
a
Which is the third smallest value? (a) -4 (b) 1.3 (c) -2
b
Which is the biggest value? (a) -0.1 (b) 4 (c) 0.6 (d) -5 (e) -17
b
What is the biggest value in -0.102, 0, 1?
1
Which is the smallest value? (a) -1/5 (b) -0.16 (c) -2/19
a
Which is the smallest value? (a) 0.8 (b) -30 (c) 2/21 (d) -5
b
Which is the second smallest value? (a) 19 (b) -1.1 (c) -2 (d) -4
c
What is the biggest value in 2, -14, 0.4?
2
What is the fourth biggest value in 2, 2/19, 264, -2/17?
-2/17
What is the third biggest value in 2/3, -0.91, -55?
-55
What is the second biggest value in 3/8, 1/8, 24, -0.3, 1.8?
1.8
What is the second biggest value in 0, 5/4, -1, -0.026?
0
What is the third biggest value in -2, 0.2, -0.164?
-2
What is the fourth biggest value in -5, 0.11, -2, 4/17?
-5
Which is the fourth smallest value? (a) -9 (b) -12 (c) -6 (d) -2 (e) -1
d
What is the fourth biggest value in -0.16, -2/29, 2, -5, 1?
-0.16
Which is the smallest value? (a) 4 (b) -1 (c) 0.1 (d) -7/87
b
Which is the biggest value? (a) 5/2 (b) 0.1 (c) 2 (d) -2
a
Which is the fourth smallest value? (a) 0.03 (b) -5 (c) 9/5 (d) 1
c
Which is the biggest value? (a) 3 (b) 103 (c) 7/2 (d) -2/11 (e) -1
b
What is the biggest value in -2/11, -10, 8?
8
Which is the third biggest value? (a) 5 (b) -4/5 (c) -4 (d) 1/5
b
Which is the smallest value? (a) 1 (b) -22 (c) -0.2
b
What is the fourth smallest value in -2/83, -1, -4, -9?
-2/83
What is the fifth biggest value in 0.027, 2/3, 5, 0, 0.5?
0
Which is the fourth smallest value? (a) -1/3 (b) 11 (c) -9 (d) -2/13
b
Which is the second smallest value? (a) -5 (b) 0.039 (c) 0
c
What is the second biggest value in -1/6, 0.2, -2/11, 0.4?
0.2
Which is the fifth smallest value? (a) 1/4 (b) 2/19 (c) -10/7 (d) 1 (e) 2.9
e
Which is the smallest value? (a) 3 (b) -10 (c) 0 (d) 5/6 (e) -0.2
b
What is the third biggest value in 0.5, 8, -2, 0.1?
0.1
What is the fourth smallest value in 4, -0.2, -2, 0.1?
4
Which is the biggest value? (a) 0.3 (b) -4 (c) -3 (d) -4.4 (e) 1
e
Which is the biggest value? (a) 11 (b) -372 (c) -3
a
What is the third smallest value in -131, -32, 0?
0
Which is the second smallest value? (a) -2 (b) 4 (c) -0.01 (d) 0.3 (e) 3
c
What is the fourth biggest value in -0.2, 1/7, -2/31, 9/7?
-0.2
What is the second smallest value in -18, -0.4, 3?
-0.4
What is the second smallest value in 7, 0.33, -0.7?
0.33
Which is the second smallest value? (a) 2/13 (b) 0.5 (c) 53
b
What is the second biggest value in 0.35, 2/9, 0?
2/9
What is the second smallest value in 26, 1/2, -2/13?
1/2
What is the third smallest value in 2, 106, 3?
106
What is the third biggest value in -29, -2/5, -1?
-29
What is the third smallest value in -3, -0.9, 0.2, 0, 1.1?
0
Which is the fourth biggest value? (a) 0.3 (b) -3 (c) -1 (d) 1/3
b
What is the fourth biggest value in 2/15, 2/17, -14, -26?
-26
What is the smallest value in -26, 0, 4?
-26
Which is the biggest value? (a) 4/7 (b) 12.15 (c) -1/9
b
What is the fourth smallest value in 4, -132, -1/4, 1/3, 3?
3
Which is the biggest value? (a) -4 (b) -6/5 (c) 0.6
c
What is the fourth biggest value in -2/9, 0.05, 1, -3, 2/9?
-2/9
What is the second biggest value in 1/7, 3.7, 4, -5?
3.7
Which is the third biggest value? (a) -5 (b) -27 (c) 1/9
b
What is the second smallest value in 4, -28, 0.2, -1?
-1
Which is the third biggest value? (a) -1.2 (b) 1 (c) 1134
a
What is the fourth biggest value in -0.3, -4, -5/4, 11/4, 3/2?
-5/4
What is the fourth smallest value in 2.5, 2/13, -2/5, -3, 0.5?
0.5
Which is the second smallest value? (a) 0 (b) 3 (c) -2/15 (d) -2/19
d
Which is the second biggest value? (a) -11 (b) -0.4 (c) -2/15 (d) 0.3
c
Which is the second smallest value? (a) 0.02 (b) 0 (c) 4 (d) 51
a
What is the fourth smallest value in 610/7, 0.1, -1/3, 3?
610/7
Which is the fifth smallest value? (a) -4 (b) -0.07 (c) 0.3 (d) -5 (e) 1/12
c
What is the second smallest value in -100, -0.3, -3/4, -0.5, -1?
-1
Which is the second smallest value? (a) 11/5 (b) -1 (c) 0.1
c
What is the second biggest value in 11, 0.5, -7?
0.5
What is the third smallest value in -2/11, 4/3, -3, -2/13, 2?
-2/13
Which is the fourth smallest value? (a) 3 (b) 5 (c) -1 (d) 1
b
Which is the smallest value? (a) -10 (b) 0.29 (c) -6
a
What is the biggest value in 0.3, -3, -0.18?
0.3
What is the second biggest value in 5, -2/11, -250?
-2/11
Which is the second smallest value? (a) 3/16 (b) -1 (c) -3/250
c
Which is the biggest value? (a) -36/7 (b) -22 (c) 0
c
Which is the third biggest value? (a) -5 (b) 1275 (c) -1
a
Which is the fourth biggest value? (a) -0.2 (b) 4/5 (c) -2 (d) -226 (e) -3
e
What is the second smallest value in 0.5, -4/13, -5/2?
-4/13
Which is the third smallest value? (a) 1.08 (b) -1 (c) -0.4 (d) -66
c
What is the smallest value in 0.1, -0.4, -2/3, 0?
-2/3
Which is the smallest value? (a) -5 (b) 15 (c) 2 (d) 3
a
What is the smallest value in 1, -11, -4?
-11
What is the fifth smallest value in 1, 159/8, -5/3, -2/9, -0.1?
159/8
What is the fifth biggest value in 1, 6, -5, -4/9, 4?
-5
What is the smallest value in -2/89, 0.4, -0.08, 5?
-0.08
What is the third biggest value in -5, 2/3, -0.1, -0.08?
-0.1
Which is the third biggest value? (a) -3 (b) 0.3 (c) 20 (d) -3/17 (e) -0.2
d
Which is the fourth smallest value? (a) -1/2 (b) -5 (c) -0.02 (d) -2
c
What is the second biggest value in -3/5, 4, -2, -26/7?
-3/5
What is the biggest value in -0.07, 0.4, -0.3?
0.4
What is the second smallest value in -3, -1/6, 1/8?
-1/6
What is the second biggest value in 3/16, -2, 3, 2?
2
Which is the fourth biggest value? (a) 96/25 (b) -0.3 (c) -0.4 (d) 0
c
Which is the fourth smallest value? (a) 1 (b) 2 (c) -2 (d) 4
d
Which is the second biggest value? (a) 0.73 (b) 0.5 (c) 0.2 (d) 3
a
What is the fourth smallest value in 3, -0.5, -43, 0.3?
3
What is the second smallest value in 1/2, 0.1, -2, -349?
-2
What is the smallest value in -15, 0, -1, 31/2, 4?
-15
Which is the biggest value? (a) -2 (b) 1/2 (c) 3.55
c
What is the third smallest value in 1/7, -3, 0.4, 0.061?
1/7
Which is the fourth biggest value? (a) 3 (b) -27 (c) -3 (d) -0.4 (e) 3/5
c
What is the fourth smallest value in 4, 3/7, -0.03, -1.5?
4
What is the smallest value in -1/5, -0.3, 1/3?
-0.3
What is the biggest value in -5, 0.49, 3, -2?
3
Which is the third smallest value? (a) 2 (b) 1/3 (c) 0
a
What is the biggest value in 0.5, 4, 1.8, 2/3?
4
What is the second biggest value in 4/5, 0.4, -4, -9/47, 0.2?
0.4
Which is the biggest value? (a) 32 (b) 5 (c) -4 (d) -2/15
a
Which is the second smallest value? (a) 1 (b) -0.21 (c) 0 (d) -2
b
Which is the third smallest value? (a) -0.05 (b) -0.3 (c) 3 (d) 4/13 (e) 4
d
What is the biggest value in 3, -109, -2?
3
Which is the fifth biggest value? (a) 3 (b) -17 (c) -5 (d) 0.02 (e) -28
e
What is the third biggest value in -0.3, -0.1, 3, 2/9?
-0.1
What is the third biggest value in -0.3, -2, 128, -6?
-2
What is the fourth smallest value in 8, 4, 6, 2/11?
8
Which is the biggest value? (a) -228 (b) -0.2 (c) 0.2
c
What is the biggest value in -6/11, -1, 17?
17
Which is the second biggest value? (a) -16 (b) 0.1 (c) 0.4 (d) 0.2 (e) 47
c
What is the second biggest value in 115, -6/7, 3/2, 2/3, 0?
3/2
Which is the second smallest value? (a) -2/5 (b) 0.01 (c) -4
a
Which is the third biggest value? (a) 0.03 (b) 51 (c) 4/5
a
Which is the third smallest value? (a) 3/7 (b) -3 (c) -0.1 (d) 0.7
a
Which is the third smallest value? (a) -13 (b) -0.3 (c) 2/5
c
Which is the third smallest value? (a) -2 (b) 2/9 (c) 0.275
c
Which is the fourth smallest value? (a) 2/7 (b) 12.5 (c) -1/15 (d) 5
b
What is the sma | {
"pile_set_name": "DM Mathematics"
} |
-3, -9, -5.
-9, -5, -3, -2
Sort -0.16, -2.4, -1/3 in ascending order.
-2.4, -1/3, -0.16
Sort -11, -4, 16, 9 in ascending order.
-11, -4, 9, 16
Put -13.1, 4, 3, 2 in decreasing order.
4, 3, 2, -13.1
Put 3, -4, 56, 5 in increasing order.
-4, 3, 5, 56
Put 64/3, -2, 0 in decreasing order.
64/3, 0, -2
Sort -460, -5, -1.
-460, -5, -1
Put 0.5, -5/3, 4, 1/7 in decreasing order.
4, 0.5, 1/7, -5/3
Put -1, 1, -5, -112 in ascending order.
-112, -5, -1, 1
Sort -3, 6, 4, 1 in increasing order.
-3, 1, 4, 6
Put 79, 5, -2 in ascending order.
-2, 5, 79
Put -21, 3, -2, -4 in descending order.
3, -2, -4, -21
Put -138, -3, 0.4 in decreasing order.
0.4, -3, -138
Put 6, 1, 2, 0 in decreasing order.
6, 2, 1, 0
Sort -0.5, 26, 5, -5 in ascending order.
-5, -0.5, 5, 26
Put 2, 2.4, 0.3, 1/3 in decreasing order.
2.4, 2, 1/3, 0.3
Sort -3, 7, 12, 3.
-3, 3, 7, 12
Sort 0, 4, 5, 1, -5 in descending order.
5, 4, 1, 0, -5
Put 2/3, 0.3, 12, 5, -41 in descending order.
12, 5, 2/3, 0.3, -41
Sort -1, -0.3, -30.
-30, -1, -0.3
Put -29, -4, 0, -1, -2/3 in descending order.
0, -2/3, -1, -4, -29
Sort 85, 0.3, -5, 3/2 in descending order.
85, 3/2, 0.3, -5
Sort -2.6, 4, -3, -0.2, 2 in descending order.
4, 2, -0.2, -2.6, -3
Put -2, -11, -2/7, -1/3, -1/12 in descending order.
-1/12, -2/7, -1/3, -2, -11
Put 0.3, -1, 165/28 in descending order.
165/28, 0.3, -1
Put 0, -3, 3, 257 in increasing order.
-3, 0, 3, 257
Put 1, 0, -74, -1 in ascending order.
-74, -1, 0, 1
Sort 21, 16, -2, -3.
-3, -2, 16, 21
Sort 6, -1, -9, -2 in descending order.
6, -1, -2, -9
Sort -119, -4, 15, 1, 0 in increasing order.
-119, -4, 0, 1, 15
Sort -2, 6, 5, 3, -5.
-5, -2, 3, 5, 6
Put 1, -2/15, -0.4, 42 in descending order.
42, 1, -2/15, -0.4
Sort 71/4, 0.2, -0.03 in increasing order.
-0.03, 0.2, 71/4
Sort -0.07, 5, -13, 0.3, 2/7 in ascending order.
-13, -0.07, 2/7, 0.3, 5
Sort 4, -1/7, -1, -7/5, -0.5 in descending order.
4, -1/7, -0.5, -1, -7/5
Sort 3, 4, 72 in descending order.
72, 4, 3
Sort -7, 0, 3, -20, -4 in decreasing order.
3, 0, -4, -7, -20
Sort 2, 3, -3, 5, 63 in decreasing order.
63, 5, 3, 2, -3
Sort -2/3, -10, -0.1 in descending order.
-0.1, -2/3, -10
Sort 1/2, 1/11, -17, -0.3, -1.
-17, -1, -0.3, 1/11, 1/2
Put 276, -2, -3, -5 in descending order.
276, -2, -3, -5
Put -5, 1, 5, -0.1 in descending order.
5, 1, -0.1, -5
Sort 3, -4, 120.
-4, 3, 120
Sort 5, -5, -3, -11 in ascending order.
-11, -5, -3, 5
Put -9, 4, 1, -1 in descending order.
4, 1, -1, -9
Sort 1, 7, 2 in increasing order.
1, 2, 7
Sort -17, -1/3, 0.04, 2, 4 in descending order.
4, 2, 0.04, -1/3, -17
Put 1, 0, 40, 2 in ascending order.
0, 1, 2, 40
Put 1/14, -1/7, 0.4, -1, -1/3 in decreasing order.
0.4, 1/14, -1/7, -1/3, -1
Sort -0.1, -1, 518 in ascending order.
-1, -0.1, 518
Put 5, 2/3, -0.9 in decreasing order.
5, 2/3, -0.9
Put -3, -0.03, 3/8, 0.2 in descending order.
3/8, 0.2, -0.03, -3
Put -144, 2/5, -0.1 in descending order.
2/5, -0.1, -144
Sort -0.1, -0.3, -1/3, -36, -9 in descending order.
-0.1, -0.3, -1/3, -9, -36
Sort 0.5, 5/2, -2/11, 2 in decreasing order.
5/2, 2, 0.5, -2/11
Sort 243, 3, 4.
3, 4, 243
Put 1/5, -14, -0.029, -0.2, -3/7 in ascending order.
-14, -3/7, -0.2, -0.029, 1/5
Put -2/81, -111, 0.1 in decreasing order.
0.1, -2/81, -111
Put 0.1, 1/4, -0.5, 20 in decreasing order.
20, 1/4, 0.1, -0.5
Sort -37, -1, -3, -2.
-37, -3, -2, -1
Sort -5, -3, -572, 0.
-572, -5, -3, 0
Sort -2, 2, 64, -11 in decreasing order.
64, 2, -2, -11
Sort 518, 5, -4/5 in ascending order.
-4/5, 5, 518
Sort 0, -5, 144 in increasing order.
-5, 0, 144
Put 1/3, 1/6, 350 in decreasing order.
350, 1/3, 1/6
Sort -3/2, 4, -25.
-25, -3/2, 4
Sort -2/11, 3/11, 31.
-2/11, 3/11, 31
Sort 4, 331, -8 in decreasing order.
331, 4, -8
Put -613, 5, 4 in increasing order.
-613, 4, 5
Put -5, -2, 1 in decreasing order.
1, -2, -5
Sort -172, -3, 4 in ascending order.
-172, -3, 4
Put -0.4, 1/3, -11, 0.05, -4 in decreasing order.
1/3, 0.05, -0.4, -4, -11
Sort -1, -11, -3, -38 in descending order.
-1, -3, -11, -38
Sort -12, 12, 0 in increasing order.
-12, 0, 12
Sort 2, -2/45, 0.7, -0.2, 0.4 in descending order.
2, 0.7, 0.4, -2/45, -0.2
Sort 0.1, -0.2, 2/3, -3.6, -2.
-3.6, -2, -0.2, 0.1, 2/3
Sort -2.683, 2, 2/15 in descending order.
2, 2/15, -2.683
Put 293, -2/17, 2/3, -1 in increasing order.
-1, -2/17, 2/3, 293
Sort 49, 4, 5 in descending order.
49, 5, 4
Sort 12, -3, -4, 3 in descending order.
12, 3, -3, -4
Sort 3/5, -1, 3, 0.03, 5 in decreasing order.
5, 3, 3/5, 0.03, -1
Sort 2, 53, -1, 5, -5 in increasing order.
-5, -1, 2, 5, 53
Sort 5, 126, 4 in increasing order.
4, 5, 126
Put 0.03, -5, 14 in decreasing order.
14, 0.03, -5
Sort -21, 3/4, 1/7, -4/7.
-21, -4/7, 1/7, 3/4
Put 2/5541, -2/13, 0, 1/6 in decreasing order.
1/6, 2/5541, 0, -2/13
Sort -4, -2, 200 in increasing order.
-4, -2, 200
Sort 4/5, -1, -388, 1 in ascending order.
-388, -1, 4/5, 1
Sort 0.2, 1/91, 0.1, -1/19, -2/11 in decreasing order.
0.2, 0.1, 1/91, -1/19, -2/11
Sort -0.1, -79, -2/5, 152 in increasing order.
-79, -2/5, -0.1, 152
Sort -1/4, -11/3, -3 in decreasing order.
-1/4, -3, -11/3
Sort 4, 5, -27 in decreasing order.
5, 4, -27
Put 2/5, -0.4, 2, -0.1, -5 in decreasing order.
2, 2/5, -0.1, -0.4, -5
Sort -5, 1, 3, 32.
-5, 1, 3, 32
Sort 2, 1, -0.1, 11 in descending order.
11, 2, 1, -0.1
Sort 253, -2/7, 1/6 in decreasing order.
253, 1/6, -2/7
Put 0, 4, -6, 72 in decreasing order.
72, 4, 0, -6
Sort 3, 0, -25, -4 in increasing order.
-25, -4, 0, 3
Sort 0.36, -2/15, 4, -2 in descending order.
4, 0.36, -2/15, -2
Sort -6, -5, 1117.
-6, -5, 1117
Sort -62, -5, -3 in decreasing order.
-3, -5, -62
Sort -5, 3, 12 in increasing order.
-5, 3, 12
Sort 1, -19, -15.
-19, -15, 1
Put -0.15, -2/11, -6, 1/5 in decreasing order.
1/5, -0.15, -2/11, -6
Put -2, -24, 5, 1/2, -1 in increasing order.
-24, -2, -1, 1/2, 5
Sort 61, 0, -4 in decreasing order.
61, 0, -4
Sort -5, 3/17, 5.
-5, 3/17, 5
Sort -5, -1/12, 0, -4 in increasing order.
-5, -4, -1/12, 0
Put -4, 57, -3, 3 in descending order.
57, 3, -3, -4
Sort 18, 1/4, 4, 0.1, 3.
0.1, 1/4, 3, 4, 18
Sort 2, -10, -11.
-11, -10, 2
Put -8, 1/2, -0.2 in ascending order.
-8, -0.2, 1/2
Sort -5, 5, 21 in descending order.
21, 5, -5
Sort -4, -14, 1, 3.
-14, -4, 1, 3
Put 4/5, -1, -1671, 4, 0 in descending order.
4, 4/5, 0, -1, -1671
Sort 3, 2, -34, -1, 5.
-34, -1, 2, 3, 5
Sort 2/7, -3, 0.5, 1/4, 33 in increasing order.
-3, 1/4, 2/7, 0.5, 33
Sort 13, -96, 5 in descending order.
13, 5, -96
Put -18.37, -0.3, 0.4 in increasing order.
-18.37, -0.3, 0.4
Sort 2, 10, -2, -5 in descending order.
10, 2, -2, -5
Put -163, 0.5, 2/7 in increasing order.
-163, 2/7, 0.5
Put -0.5, -1.1, -5, -8 in descending order.
-0.5, -1.1, -5, -8
Put -2, 540, 4, -5, -3 in decreasing order.
540, 4, -2, -3, -5
Put -10.6, 3, -1, 2 in ascending order.
-10.6, -1, 2, 3
Put 6, 3, -1, -5, -4 in descending order.
6, 3, -1, -4, -5
Put 5, -1, -9, -2, 17 in decreasing order.
17, 5, -1, -2, -9
Put -9, 5, -5, -4, 2 in decreasing order.
5, 2, -4, -5, -9
Sort 3, -137, 5.
-137, 3, 5
Sort 11, -5, 0, -1.
-5, -1, 0, 11
Put 5, -4/5, 2/17, 3, 3/8 in increasing order.
-4/5, 2/17, 3/8, 3, 5
Put 172, -2, 13, 0 in decreasing order.
172, 13, 0, -2
Sort 0.4, 13, 8, -0.5 in descending order.
13, 8, 0.4, -0.5
Put 1, 4, -1223, 3 in decreasing order.
4, 3, 1, -1223
Sort 212, 1/2, 0.2, 1/3 in decreasing order.
212, 1/2, 1/3, 0.2
Sort -3, 5, 281, 4, -2 in descending order.
281, 5, 4, -2, -3
Sort 2, -3/2, 7, -0.3 in increasing order.
-3/2, -0.3, 2, 7
Sort -4, -467, -5, 4 in descending order.
4, -4, -5, -467
Put 1/3, 3/8, -2, -2.2 in decreasing order.
3/8, 1/3, -2, -2.2
Sort 0.5, 0, 4, 53.
0, 0.5, 4, 53
Put 0, 1, -2, -4 in descending order.
1, 0, -2, -4
Put 5.6, -0.5, -0.4, 1/5 in decreasing order.
5.6, 1/5, -0.4, -0.5
Sort -143, -2, -16.
-143, -16, -2
Sort 0.1, -0.05, -2/3 in decreasing order.
0.1, -0.05, -2/3
Put -5, -7, 30, -4 in descending order.
30, -4, -5, -7
Sort 8585, -4, 1.
-4, 1, 8585
Put 0.09, -1, -0.1, 3, -6 in descending order.
3, 0.09, -0.1, -1, -6
Sort 2/11, 36/7, 2/7 in decreasing order.
36/7, 2/7, 2/11
Put 0.2, 0.5, -0.3, -1 in ascending order.
-1, -0.3, 0.2, 0.5
Put -2, -0.5, 2/7, 40, 8 in ascending order.
-2, -0.5, 2/7, 8, 40
Sort -0.2, 134.9, 1/4 in descending order.
134.9, 1/4, -0.2
Put -1, -3/5, 0.3, 0 in descending order.
0.3, 0, -3/5, -1
Sort -40, -2/ | {
"pile_set_name": "DM Mathematics"
} |
6 + 3429. Calculate the common denominator of (0 - 82/140)/(-1) and g.
210
Find the common denominator of 25/6 and 3 + -4 + -1 + 1287/405.
90
Let r = 155832/22915 - 2/4583. Calculate the common denominator of r and -11/8.
40
Suppose -4*w = -5*d - 65, 2*w + 0*w - 2*d = 32. What is the smallest common multiple of w*(20/25)/1 and 5?
60
Let p be ((-138)/5)/((-6)/(-30)). Let w be 283/(-6)*p/4. Let c = 1635 - w. Calculate the common denominator of 121/6 and c.
12
Let f = 103 + -81. What is the smallest common multiple of f and 112?
1232
Let w = -71 - -101. Find the common denominator of -4 - (w/(-45) + (-55)/2) and 115/6.
6
Find the common denominator of -1*(-762)/(-48)*4/(-33) and 35/6.
66
Suppose -a + 2*a - 21 = -3*t, 0 = 5*a + t - 35. Suppose 0 = h - 3 - a. What is the smallest common multiple of h and 2?
18
Let z = -5366 + 633237/118. Calculate the common denominator of z and 29/6.
354
Let c = -11909/12 + 990. Let p = -2/2957 - 56095/130108. What is the common denominator of c and p?
132
Suppose -4*g - 36 = 2*g. Let z be g/(-15) - 154/10. Let b = z + 19. Calculate the least common multiple of b and 16.
16
Let w(s) = 24*s**2 + s - 1. What is the least common multiple of w(-1) and 2 - 2 - -12 - -2?
154
Let i be (5 - 2)*280/15. Suppose -2*r + i = 5*r. Calculate the least common multiple of 20 and r.
40
Suppose 14*o = -28*o - 1638. Calculate the common denominator of o and -46/3.
3
Suppose 0 = x - 2 - 2. Suppose -6 = 2*y + 2*k, x*y - y - 4*k = -16. What is the common denominator of -32/5 and ((-2)/8*146)/y?
40
Let y be (-2 - (-1)/(-1))*-1. Let m(z) = 4*z**2 + z + 3. Let d be m(y). Find the common denominator of 113/18 and (-51)/d - (-4 + 2).
126
What is the least common multiple of -5 - (-2)/((-16)/(-184)) and 15?
90
Let p = -85 - -91. Calculate the lowest common multiple of 124 and p.
372
Let p = -2/415 + -20331/830. What is the common denominator of -26/7 and p?
14
Let n = 82 + -85. What is the common denominator of -49/3 and ((-4)/(-6))/(78/(-23) - n)?
27
Let x = -1021 + 1226. Calculate the least common multiple of 41 and x.
205
Let w(z) = 4*z**2 + 14*z - 4. Calculate the lowest common multiple of w(-4) and 108.
108
Let y(b) = -2*b + 24. Let z be y(11). Let n(i) = 4*i**2 + i. Calculate the smallest common multiple of n(z) and 4.
36
Let h be 42/5*(23 - 8). Let o = 179 - 515/3. Calculate the common denominator of o and h/49 + -3 - (-223)/14.
6
Suppose -v + 5*z + 42 = 17, -5*v + 45 = -5*z. What is the smallest common multiple of 4 and v?
20
Let z = 2/71 + 2195/213. Find the common denominator of z and 24/53.
159
Suppose 3*c - 38 = -8. Calculate the least common multiple of c and ((-4)/3)/(-2)*(-4 - -79).
50
Let s(l) = l**3 - 14*l**2 - l + 17. Let y be s(14). Suppose -y*m + 6*m + 4*u - 22 = 0, -36 = -3*m + 3*u. Calculate the least common multiple of m and 1.
10
Let f(s) = s**3 - 6*s**2 + 7*s - 1. Let k(v) = 4*v**2 - 11*v + 6. Let c be k(3). Suppose 20*n - 88 = c*n. What is the least common multiple of f(5) and n?
72
Let z be 1 - -3 - ((-2852)/(-495) - 3). Let u = -29347/198 - -1334/9. Let x = u - z. Calculate the common denominator of x and -59/3.
30
Let u be (-112780)/52 + 6/(-39). Let m = u - -4421/2. What is the common denominator of 63/4 and m?
4
Let c = -285899/82803 - -3/7886. Calculate the common denominator of -29 and c.
42
Let l be (-13910)/276*(21/20 - 1). Let a = -1/46 + l. Calculate the common denominator of -139/12 and a.
24
Let m(l) = -l - l**2 + l + 0*l**2 + 5 + 8*l. What is the lowest common multiple of 11 and m(8)?
55
Find the common denominator of -101/72 and 46/3 + 35 + -34.
72
Let i = -4291/1152 + 1/384. What is the common denominator of -17/2 and i?
18
What is the common denominator of (-2 - (-33)/18)/((-1400)/3520) and 53/70?
210
Suppose -9*n = -7*n - 8. Suppose -3*z = n*t - 20, -17 = -5*z + 2*t + 51. What is the lowest common multiple of 18 and z?
36
Suppose 5*r + 2*c - 12 = 12, -15 = -r + 3*c. Let q = r - -41. What is the common denominator of q and -49/6?
6
Let m(h) = -h**3 - 22*h**2 + 237*h - 86. Suppose 0*r + 2*x + 38 = 3*r, 3*r = -x + 26. What is the least common multiple of m(-30) and r?
20
Let v = -49713748 - -894489415/18. Let d = v + 19899. Find the common denominator of 51/28 and d.
252
Let v(j) = -2*j**2 + 3*j - 6. Let w be v(6). Calculate the common denominator of 71/22 and (w - -1)*(3 + (-201)/66).
22
Let n = 2/158283 - -1090352/3323943. What is the common denominator of -37/2 and n?
378
Let r(u) = 3*u**3 - 3*u**2 - 2. Let s be r(3). Let t = -121/24 - -763/72. What is the common denominator of t and s/28*(-7)/(-6)?
18
Suppose 12*c = 9*c + 21. Calculate the smallest common multiple of 4 and (-58)/(-7) + (-2)/c.
8
Let h = -16 - -25. Suppose 0 = 2*v + 8*n - 8, v + 4*v = -3*n + 20. What is the least common multiple of h and v?
36
Suppose -6*m + 492 - 6 = 0. Suppose 3*b + m = 162. What is the least common multiple of b and 2?
54
Calculate the common denominator of 4*(-1 - 0) + (-2156)/(-1680) and -53/17.
1020
Suppose 0 = 6*p - 11*p + 3*j + 56, 3*p = j + 32. Calculate the least common multiple of 3 and -6*4/(-15)*p.
48
Let f(y) = y**3 + 3*y**2 - 4*y - 3. Suppose -1 = -2*d - 7. Suppose -31*v + 552 = 38*v. What is the lowest common multiple of v and f(d)?
72
Suppose 5*v - 156 = v. Let l be 1*(2/2 + 2). Suppose 0*c + l*o = -c + 21, 2*c - v = -5*o. What is the least common multiple of 2 and c?
12
Suppose 0*q + 4 = 2*v + 4*q, -2 = -2*q. Suppose 4*s + 46 - 166 = v. Find the common denominator of -41/13 and 0 - 0 - s/(-18).
39
Let s = -56 + 79. Let m = s + -2. Calculate the smallest common multiple of 8 and m.
168
What is the common denominator of 17/20 and 81/(-156)*(-121)/(-33)?
260
Suppose 116*w = 107*w + 72. Suppose 3*y - 6 = 0, 4*d = 5*y + 268 - 30. Calculate the least common multiple of w and d.
248
Suppose 2358 = 24*p + 918. Calculate the least common multiple of 80 and p.
240
Suppose -4*p = -x + 373, -208*x - p + 353 = -207*x. Calculate the lowest common multiple of 35 and x.
1785
Find the common denominator of -42/407 and (-82)/148*(14 - 5)/(-9).
814
What is the common denominator of -97/24 and 534/(-612) + 5/10?
408
Let f be (-6)/4 + 6/(-12). Let r = 24 - 4. Calculate the lowest common multiple of 8 and ((-24)/r)/f*5.
24
Let w be (-2)/7 + 194056/154. Let g = -1259 + w. Calculate the common denominator of 2850/(-495) + 4/6 - -1 and g.
11
Suppose 7*l = -12 + 68. Calculate the least common multiple of l and 511.
4088
Let b = -398 - -238. Let h = -216/7 + 28. What is the common denominator of h and (35/b)/(2/(-88))?
56
Suppose l = 10*l. Let j(m) = 3*m + 16 - 2*m + 0*m. Calculate the lowest common multiple of 16 and j(l).
16
Let t(l) = -2*l - 10. Let a be t(-10). Let d = a + -14. Let u(f) = -2*f - 6. Calculate the smallest common multiple of u(d) and 8.
8
Suppose -p + 4 = -12. Suppose 0 = t - 5 - 0. Suppose -66 = -3*u + 5*h, -t*u - 5*h + 0*h + 110 = 0. What is the lowest common multiple of u and p?
176
Let h be (-14 - -4) + (5 - 2) - 1. Calculate the smallest common multiple of (h - -2)*(-20)/3 and 3.
120
Let w = 2699 - 16109/6. Suppose -53 = -5*z - 3*k - 3, 2*k + 4 = 2*z. Suppose 0 = 2*p - z + 3. Calculate the common denominator of p and w.
6
Suppose 0 = -3*g + 4*g - 4. What is the least common multiple of 12 and g/(-14) + 240/105?
12
Suppose 2*a = -16 - 12. Let s = a - -22. What is the smallest common multiple of (-434)/(-56) + 2/s and 1?
8
Suppose -4 = 6*k - 2*k, y + 32 = -5*k. Calculate the common denominator of (-572)/(-1152) + (-6)/y and -121/20.
160
Calculate the smallest common multiple of 3/((-6)/144*-9) and 11.
88
What is the common denominator of 1*3*(1 + 203/14) and -79/40?
40
Let u(z) = -2*z**2 + 6*z**2 + 1 - 4 + 0*z**3 + z**3. Let d be u(-4). Let b = d - -11. What is the lowest common multiple of 5 and b?
40
Let r be (-12)/5 + (-6)/10. Calculate the common denominator of -1 - -1 - 90/16 and (-44)/r - (-32)/48.
24
Let m(h) = h**3 - 4*h**2 - 8*h - 16. Let o be m(10). Find the common denominator of -86/21 and 4671/o + 1/(-7).
168
What is the common denominator of -65/4 and 44/6*(-5 + (-119)/(-28))?
4
Let s(m) = 24*m - 278. Calculate the lowest common multiple of 6 and s(12).
30
Let p = 3 + 6. Let i(t) = -9*t - 35. Let x be -9 - (-5)/((-2)/(-2)). Calculate the lowest common multiple of i(x) and p.
9
Suppose | {
"pile_set_name": "DM Mathematics"
} |
o**2 + 6*o + 9. Suppose -3*z + z - 1 = 3*c, -5*z + 10 = 5*c. Let l be p(z). Solve -g + u + 25 = -3*u, -35 = -5*g + l*u for g.
5
Let r be -2 + 7 + (4 - 5). Suppose -r*o - 184 = -0*o. Let d be (42/(-4))/(23/o). Solve x - 3*j - j = -d, -5*j = 2*x - 23 for x.
-1
Suppose -4*z = 2*w - 23 - 1, -4*w + 32 = 4*z. Solve f + 3 = -4*o - 8, 0 = -w*o + 4*f + 4 for o.
-2
Suppose -4*z + 9 = -z. Suppose -f + z - 1 = 0. Let g be 1*(f - -1*6). Solve -2*i - 2*c = g, 0*i - 14 = i + 3*c for i.
1
Suppose 18*u - 9*u = 0. Solve u*i - 4*i = -2*t + 18, -2*i + 6 = 4*t for i.
-3
Let d(z) = z**2 + 4*z - 135. Let s be d(10). Solve -s*c = -o - 8, 0 = 4*c - 3*c + 5*o - 12 for c.
2
Let m be (-110)/44*24/(-5). Solve u + 0*u - 16 = 4*x, -2*u = -4*x - m for u.
-4
Suppose 10 = -s - 2*p, -11 - 4 = -s + 3*p. Solve 2*b - a + 3 + 10 = 0, s = a - 3 for b.
-5
Let t = 36 + -24. Suppose -z + 4 = 3*s, 0 = -2*z - z + t. Let o = -13 - -16. Solve -4 = -o*q - 0*q - 4*w, s = -q - w for q.
-4
Suppose -4*p + 0 + 16 = 5*v, -7 = -3*v - 5*p. Suppose -l = -4*f - 0 + 11, -v*l = 4*f - 56. Let t = 5 + -2. Solve -t*o = 2*g - l, 5*o - o - 5*g - 12 = 0 for o.
3
Suppose -f = 7 - 1. Let k = 0 - f. Let z = k + -2. Solve -z*u - 5*v = -4, -7*v + 3*v = 0 for u.
1
Suppose 185 = -f + 186. Solve 5*o - 10 = 4*p + 3, -o = -2*p + f for o.
5
Let k(m) = -m**3 + 5*m**2 - 2*m - 2. Let f be k(4). Suppose -3*i = 2*i - 45. Let j = i + -2. Solve -5*h = 2*y + 33, j*y + f = 2*h + 3*y for h.
-5
Suppose r - 3*t - 2*t + 2 = 0, 0 = -5*r + 5*t - 10. Suppose -9*n - 15 + 96 = 0. Let x be (n + 1)/(0 - r). Solve 5 = x*z, -3 = o - 5*o - 3*z for o.
0
Let y(b) = 4*b**3 - 44*b**2 + 5. Let k be y(11). Solve s = -s - 3*z + 13, -5*s + k*z + 20 = 0 for s.
5
Suppose -3*q - 378 = -3*j, -5*j + 142 + 528 = 5*q. Suppose 0 = -4*i - 2*a + 108, 0 = -7*i + 2*i - 5*a + j. Solve 2*f + 5*l = 5*f - i, 2*f + l + 3 = 0 for f.
1
Let l(d) = 2*d + 20. Let m be l(-8). Solve 0 = m*q - u + 7, -6 = q + u + 2 for q.
-3
Let q be (0 + 1)/(-1 - -2). Suppose 4*d = 7 + q. Let p(h) = -h**2 + 32*h - 57. Let a be p(30). Solve -28 = -4*o + 4*x, d*o + 6 = -0*x - a*x for o.
3
Let j = 1 + 3. Suppose -q + j*r + 27 = 5, 0 = -5*q - 3*r - 5. Solve -3*w + 0*w - 27 = 3*p, -2*w + 3*p = -q for w.
-5
Let u = -43 + 46. Let q(r) = 6*r + 14. Let h be q(-2). Solve -h*f = 3*b - 13, 3*f = 4*b - b - u for b.
3
Let c be (-30)/(-9)*27/(-15). Let p(m) = m**3 + 5*m**2 - 6*m + 4. Let w be p(c). Solve -3*q + w*b = -1, 4*q + b = -4*b + 22 for q.
3
Suppose -5*z - 6 = -21. Solve x + z - 1 = -5*s, -4*x = 8 for s.
0
Let x be 0/((-1)/(-1) - -1). Let m = 67 - 60. Solve x*g + 14 = -2*g + 2*f, 3*g + m = -4*f for g.
-5
Let m be (24/4)/(6/4). Suppose -b - 25 = -5*r, -45*b = 4*r - 43*b - 6. Solve 2*j + m = -4*i, 2*j + r*i = i - 4 for j.
-2
Let z(c) = -c**2 + c + 6. Let l be z(-3). Let j(o) = -2*o**2 - 13*o - 1. Let a be j(l). Solve 6*f = f - 5*u - 30, -a*f + 5*u = 0 for f.
-3
Let n be 21 - (1 - 0/3). Suppose -2*w = -6*w + n. Suppose 5*s + 10 = 3*g - 10, 0 = -2*g - 5*s + 5. Solve 0*x - 3*h + 3 = -3*x, -35 = -w*x - g*h for x.
3
Suppose 0*i - i = -21. Suppose -2*f + 5*t = -25, -4*t - 20 = -6*f + 8*f. Solve -2*k - 4 = f, -3*u + k = 4*k + i for u.
-5
Let d be 9*((-20)/(-45))/(8/6). Solve -4*i - 11 - 9 = 3*v, 4*v = d*i - 10 for v.
-4
Let q(p) = p**2 - p - 4. Let f be q(4). Let t(c) = -5*c**3 + c - 1. Let j be t(1). Let w = j + f. Solve -r = -w*y + 1, 5*r - 8 = -0*y + 2*y for r.
2
Let c be (0 - 0)/4 + -2 + 5. Solve -3*t = a + 5, 11 = -3*a - a - c*t for a.
-2
Let w(f) = 0*f + 4*f**2 - 5*f + 2 - 3*f**2. Let r = 58 + -53. Let n be w(r). Solve 4*o = 2*d - 12, -n*o = o + 4*d + 31 for o.
-5
Let s = -16 - -79. Let f = -48 + s. Solve 3*c = -x + 5*c - f, 3*c = -3*x for x.
-5
Suppose 2*b - 6 = 0, 32 = 5*q + 8*b - 4*b. Solve -9 - 7 = 4*a + q*p, 3*a - 5*p + 12 = 0 for a.
-4
Suppose 0 = -3*h + 3 - 0. Let q be ((-2)/10*0)/h. Solve -5*w + 2*l - 5 = q, -3*l - 2*l = -25 for w.
1
Let x(o) be the second derivative of o**4/6 - 2*o**3/3 + o**2 - 34*o. Let b be x(2). Solve -n = -2, -5*n = -3*g + b*g - 6 for g.
4
Let u = -576 + 581. Solve 3*g - u*s = -32, 2*g + 8 = -g - s for g.
-4
Suppose -71*x + 324 = -53*x. Solve 0 = 2*b - 3*w + x, 0 = -5*b - 3*w + 2 - 5 for b.
-3
Let l = 100 + -95. Suppose -5*y - 9 = -4*d, -2*y = -l*d - 0 + 7. Let u = -1 + 3. Solve u*i - 5*f = -d - 26, 4*f - 20 = 0 for i.
-1
Suppose -4*n = -5*n - 67. Let s = -56 - n. Solve -4*w + 3*f - 4*f = -s, -w + 6 = -3*f for w.
3
Let d(y) = -y**3 + 5*y**2 + 5*y + 6. Let x be d(6). Suppose -18 = -3*h + 72. Solve x = -a + g, -6*a = -a + 5*g - h for a.
3
Let w(y) = -4*y - 28. Let o be 4/26 + (-480)/78 + -1. Let l be w(o). Solve -2*v + 3*v - 2*q + 1 = l, q + 10 = -3*v for v.
-3
Suppose -2484*n - 42 = -2498*n. Solve -n*g + v + 18 = 0, 0 = 5*g + 3*v + v - 13 for g.
5
Let i = 20 + 0. Suppose -i = q - 25. Solve q*r - 23 = x, -4*x - 5*r = -8*x - 17 for x.
2
Let b(u) be the second derivative of u**4/6 - 7*u**3/6 + 11*u**2/2 + 3*u. Let r be b(5). Let p = -25 + r. Solve 4*f = 5*w + p, -3*w + f + f + 1 = 0 for w.
3
Let x = 3235 - 3235. Solve -10 + 13 = m, -4*j - 3*m - 7 = x for j.
-4
Let h(d) = -d**3 - 4*d**2 + 21*d + 2. Let w be h(-7). Let l(g) = -g**3 + 6*g**2 - 5*g + 5. Let u be l(5). Solve -15 = -3*o - u*p, w*p - 14 = -4*o + 6 for o.
5
Let t be 40/10 + 2 + 2 + -3. Solve h - 8*n + 3*n = 17, -t*h + 4*n + 1 = 0 for h.
-3
Let x be 0*(3 - 8/4). Suppose 3*g + 9*d - 4*d = 16, g - 4*d - 28 = x. Solve -4*j - g = -4*n, 2*j - 3*n = -0*j - 6 for j.
-3
Suppose 6 = 36*r - 66. Solve 11*c - 14*c - r*b = 0, 4*c = 4*b - 20 for c.
-2
Let s(d) = -d**3 - 23*d**2 - 41*d + 31. Let p be s(-21). Solve p = 2*x + w, 7*x - 3*x - 4*w = 20 for x.
5
Suppose 2*l = k + 5, -7*l - 45 = -12*l - 4*k. Solve -6*s + l*s + 26 = -5*y, -1 = -s for y.
-5
Let k(p) = p**2 - 4*p - 7. Let x be k(-2). Solve 0*g = x*t + 2*g + 5, -3*t - 3 = 4*g for t.
-1
Suppose 12*l + 813 = 873. Solve l*x - 25 = -5*z, -11*x + 15*x + 20 = 4*z for x.
0
Let m(q) = -q**3 - 5*q**2 + 7*q. Let k be m(-5). Let g = k - -38. Solve 2*f + 33 = -g*f - 2*i, i = 4*f + 16 for f.
-5
Suppose 4*c = 539 - 47. Let y = -121 + c. Solve -3*s - j = 11, 4*s - 2*j - 12 = y*j for s.
-2
Let w(o) = -23*o - 29. Let l be w(-2). Solve l = y + 3*z + 3, 3*y - 17 = -4*z for y.
-1
Suppose 2*o + 3*u = -0*o - 36, -4*o = 5*u + 74. Let y be (o/9 - -2)/((-3)/45). Solve -3*r + 21 = -3*s, -y*s - 26 - 5 = -3*r for r.
2
Suppose -12*l + 10*l = -36. Solve -o + 5*r - l = 0, 0 = -3*o + 2*o - 2*r + 3 for o.
-3
Let w be (60/36)/(50/120). Solve 0 = -r - w*a - 7, r + 5*a = -r - 8 for r.
1
Suppose 0 = i + 3*s - 18 - 3, s = 5. Suppose 0 = -i*t + 14 - 2. Solve -2*k = -d - 8, -t*k - 3*k + 13 = d for k.
3
Let k be (-1 - -35) + 4 - 0/3. Let g = -33 + k. Solve 5*p = -3*i - g, -2*i - p = -3*i - 7 for i.
-5
Let v be (-21 + 3)*(-15)/45. Suppose -2*l + m + 7 = 0, -3*l + 6*l + 6 = -4*m. Solve 0*r = p + l*r - v, -10 = 3*p - r for p.
-2
Let d(f) = -2*f**2 - 6*f - 27. Let y be d(-5). Let s = -41 - y. Solve -s*u + 2*w = -3*u - 3, -2*w - 11 = 5*u for u.
-1
Let h(g) be the first derivative of g**2 + 3*g + 2. Let p be h(-6). Let l be 2/1 - (-12 - p). Solve l*z = v + 25, 3*z - 2*v - 27 = v for z.
4
Let m = -28 + 32. Suppose i = 4, -m*i + 19 = -2*x + 3*x. Solve -2*t = x*c + 16, -17 = -3*c - c + 5*t for c.
-2
Suppose -4*z - 3*z + 21 = 0. Let l be 3/(z - (-3 + 5)). Solve 17 = 4*b - l*p, -2*p = b - 3*p - 5 for b.
2
Suppose 0 = -64*s + 60*s + 8. Let u be (-4 + 2 + s)/((-8)/4). Solve 5*z - 2*o = -u*o + 15, -3*z + 3*o + 18 = 0 for z.
1
Let b(k) = -k**3 - 2*k**2 - 4. Let w be b(-2). Let r be 81/4 - (-1 - w)/12. Solve -5*u = g + 16, g + r = -3*u + 3*g for u.
-4
Let z(y) = -y**3 - 6*y**2 + 8*y + 14. Let u be z(-7). Suppose -4*w = -u*w + 27. Solve 4*n = 5*j + w, j = -j - 2 for n.
1
Let g be (15/(-5) - 0) + 6. Solve -4*m = -2*h + 2, -g*h - h + 2*m = -10 for h.
3
Suppose 8*p + 48 = 11*p. Solve -5*x = 2*s + p, -x - 2*x = -2*s for x.
-2
Let w = 485 - 485. Solve w = -h + 2*v - 9, -v + 21 = -h + 4*v for h.
-1
Let d be ((-44)/(-55))/((-1)/(-10)). Suppose 5*j + 18 = d*j. Let k = 43 - 41. Solve -4*l - j*o - 22 = -4*o, 3*o = k*l - 9 for l.
-3
Let m be 10*(-5 + 3 - -3). Let l(r) = r**3 + 4*r**2 - 2*r - 4. Let o be l(-4). Solve 0*t + o*t - 25 = 3*w, -t = -2*w - m for t.
4
Suppose j = 2*t - 4*j + 12, 0 = -4*t + 5*j - 4. Let n = 195 - 195. Solve -4*h | {
"pile_set_name": "DM Mathematics"
} |
second derivative of -229*b**4/6 - 198*b - 1. Let y(k) = 3*k. What is d(y(c))?
-4122*c**2
Let m(c) = 37*c**2 + 6*c. Let j(g) = 2*g**2 + 7*g + 42. Let h(y) = y + 6. Let v(n) = 14*h(n) - 2*j(n). Give m(v(p)).
592*p**4 - 24*p**2
Let u(q) = 29420*q + 1. Let t(z) = z. What is u(t(v))?
29420*v + 1
Let t(s) = -11*s - 25. Let b be t(-3). Let o(l) = -b*l**2 - 112 + 0*l**2 + 112. Let x(y) = 5 - 5 + y**2. Give o(x(g)).
-8*g**4
Let z(s) = -48*s. Let o(u) be the first derivative of -3*u**2/2 + 164. Let c(a) = -15*o(a) + z(a). Let i(t) = -15*t**2 + 2. Calculate i(c(n)).
-135*n**2 + 2
Let y(j) = 44*j**2 + 2*j - 168. Let h(g) = 1483*g. What is y(h(m))?
96768716*m**2 + 2966*m - 168
Let y(x) = -9*x**2 + 51*x**2 - 41*x**2 + 0*x + 37 + 0*x. Let o(n) = -22*n**2. What is y(o(c))?
484*c**4 + 37
Let n(i) = i**2. Let y(l) = 68*l + 5520. What is y(n(q))?
68*q**2 + 5520
Let q(x) be the third derivative of -x**4/24 + x**3/3 + 20*x**2. Let h be q(-4). Let y(j) = j + h*j + 2*j. Let z(i) = -i. Give z(y(k)).
-9*k
Let c(v) = 4*v + 1. Let n(f) = 2. Let j(i) = 7*i + 7. Let k(m) = -j(m) + 3*n(m). Let x(g) = 5*c(g) + 6*k(g). Let a(b) = -3*b. Give a(x(p)).
66*p + 3
Let k(t) = -58*t. Let j(h) = -6519081*h**2. Determine k(j(d)).
378106698*d**2
Let o(a) = -434*a - 27. Let g(u) = -95*u**2 + 2*u. What is o(g(f))?
41230*f**2 - 868*f - 27
Let j(n) be the first derivative of 11*n**2/2 - 4*n - 8600. Let a(h) = 5*h. What is j(a(r))?
55*r - 4
Let p(s) = s. Let g(x) = -58499497*x. Give p(g(r)).
-58499497*r
Let x(g) be the first derivative of -8*g**2 - 4. Let c(n) be the third derivative of n**4/8 - 20719*n**2. Give x(c(t)).
-48*t
Let t(x) be the second derivative of x**3/3 + 288*x. Let c(f) = 871*f + 2. Calculate c(t(g)).
1742*g + 2
Let w(z) = 88026*z + 4 - 4 - 91002*z. Let s(a) = 2*a**2. Calculate s(w(g)).
17713152*g**2
Let x(k) = -4*k - 32. Let q(m) = m - 8. Let j(u) = 4*q(u) - x(u). Let h(v) = -3*v - 56. Calculate j(h(n)).
-24*n - 448
Let y(i) = -4*i**2. Let w(b) = 47*b + 20. Let h(k) = -62*k - 21. Let c(d) = -4*h(d) - 5*w(d). What is y(c(g))?
-676*g**2 + 1664*g - 1024
Let j(o) = 7*o + 2. Let m(y) be the first derivative of -9*y**2/2 + 39. Let s(u) = -22*u. Let q(w) = 12*m(w) - 5*s(w). Calculate j(q(d)).
14*d + 2
Let s(k) be the first derivative of -7*k**4/24 + 39*k**2 + 76. Let j(n) be the second derivative of s(n). Let a(l) = -7*l**2. Give a(j(d)).
-343*d**2
Let r(x) = -x. Let m(s) be the third derivative of 649*s**4/6 - 1891*s**2. Calculate m(r(i)).
-2596*i
Let m(o) = o**2. Let t(b) = 18*b**2 - 593592*b - 2. Calculate t(m(k)).
18*k**4 - 593592*k**2 - 2
Let h(o) = 3 - o + 6*o - 1. Suppose -125*d = -69*d - 504. Let l(q) = -20*q - 9. Let p(z) = d*h(z) + 2*l(z). Let s(r) = -3*r. Give p(s(x)).
-15*x
Let y(v) = 4*v - 10. Let q(a) be the second derivative of 0 - 1/12*a**4 + 0*a**2 + 0*a**3 + 88*a. Determine y(q(c)).
-4*c**2 - 10
Let u(j) be the third derivative of -j**5/60 + 49*j**4/24 - 641*j**2. Let a(n) = 64*n. What is u(a(d))?
-4096*d**2 + 3136*d
Let j(c) = 2*c. Let i(n) be the first derivative of 1/8*n**4 - 26 + 6*n**2 + 5/3*n**3 + 0*n. Let p(q) be the second derivative of i(q). Calculate j(p(h)).
6*h + 20
Let c(h) be the first derivative of 2*h**3/3 - 1. Let w(x) be the second derivative of -35*x**4/12 - 4*x + 700. Determine c(w(y)).
2450*y**4
Let r(v) be the second derivative of -v**3/3 + 185*v. Let l(b) = -205*b - 2. What is r(l(d))?
410*d + 4
Let t(j) = -8*j + 12. Let a(s) = 6*s - 8. Let n(z) = -3*a(z) - 2*t(z). Let r(i) = 19835*i**2. Determine n(r(g)).
-39670*g**2
Let z(m) = 2*m + 700. Let h(r) = 70. Let l(p) = -10*h(p) + z(p). Let b(s) = -4795*s. Calculate l(b(y)).
-9590*y
Let c(h) = h. Let m(s) = -26443*s + 26983*s + 2 - 2. Give m(c(f)).
540*f
Let k(o) = -8163167*o**2. Let c(u) = 2*u**2. Calculate c(k(q)).
133274590939778*q**4
Let o(t) = -1819037*t. Let m(h) = 118*h. Calculate m(o(v)).
-214646366*v
Suppose q = 1, -3*q = 5*j - j - 19. Let d(a) = -7 + 3 + 2*a - j*a + a - 7. Let h(l) = -l. Determine d(h(m)).
m - 11
Let c(k) = 9*k**2 - 15*k. Let d(u) = 2*u**2 - 3*u. Let g(n) = -c(n) + 5*d(n). Let h(o) = -16*o**2 - 6*o. Give h(g(v)).
-16*v**4 - 6*v**2
Suppose 10*g - 39 = -3*g. Let z(q) = -8*q + g*q + 183 - 183. Let s(c) = 9*c**2 + 7. Let d(n) = 6*n**2 + 5. Let k(a) = 7*d(a) - 5*s(a). Determine z(k(j)).
15*j**2
Let k(i) = -2*i. Let o(q) = -3083555*q + 2. What is k(o(c))?
6167110*c - 4
Let t(g) = -18902*g. Let y(f) = -15*f - 17. What is t(y(r))?
283530*r + 321334
Let v(j) = -j - 149. Let y(x) = -35*x + 33*x - 30 + 62 - 32. Calculate y(v(m)).
2*m + 298
Let p(l) = l**3 - 4*l**2 + 3*l + 1. Let n be p(4). Let b be 864/240*(-25)/(-15). Let a(o) = -3*o + n*o - b*o - 7*o. Let w(i) = -13*i. Give a(w(k)).
39*k
Let f(x) = 10*x**2 + 2*x + 30. Let c(l) = 9*l**2 + 3*l + 45. Let b(v) = -2*c(v) + 3*f(v). Let n(k) = -k - 16. What is b(n(i))?
12*i**2 + 384*i + 3072
Let d(w) = 18*w**2. Let v(q) = -28258*q - 1. Calculate v(d(a)).
-508644*a**2 - 1
Let j(q) = -q + 3. Let x(w) be the third derivative of -w**5/20 + 2*w**2 - 1121. Determine j(x(k)).
3*k**2 + 3
Let c(j) = -8*j**2 - 8957 + 8957. Let o(h) = 2*h - 578. Give c(o(x)).
-32*x**2 + 18496*x - 2672672
Let g(j) be the first derivative of -j**4/4 + 128*j + 240. Let d(a) be the first derivative of g(a). Let u(z) = 136*z. Calculate d(u(q)).
-55488*q**2
Let l(y) = -13*y. Let t(k) = -k - 9 - 37 + 6*k + k. Let x be t(7). Let p(b) = 3*b + 7. Let d(i) = -i - 2. Let f(j) = x*p(j) - 14*d(j). Determine l(f(w)).
-26*w
Let r(q) = -6*q - 2. Let c(o) be the first derivative of 0*o + 0*o**2 + 97 + 1/3*o**3. Determine r(c(x)).
-6*x**2 - 2
Let k(o) be the second derivative of 0*o**3 + 0*o**2 + 229*o + 0 - 31/12*o**4. Let i(f) = 4*f. What is k(i(j))?
-496*j**2
Let f(l) = -l. Let m(a) = 11*a**2 - 8*a + 1. Let x be m(4). Let r(s) = 138*s**2 + x*s**2 - 287*s**2. Calculate f(r(z)).
4*z**2
Let w(g) = -12*g**2 - 41161*g. Let b(a) = a**2. Give w(b(h)).
-12*h**4 - 41161*h**2
Let s(d) = -20*d. Let g(r) = 26*r - 76. Let m be g(3). Let p(q) = -21*q**2 + 23*q**2 + 5*q**m + 7*q**2. Calculate s(p(k)).
-280*k**2
Let v(m) be the third derivative of -m**7/5040 - m**5/2 + 2*m**2 + 15. Let d(s) be the third derivative of v(s). Let c(f) = 39*f**2 + f. What is c(d(o))?
39*o**2 - o
Let q(l) = -13*l + 1 - 1 - 43*l. Let k(i) = 1064 + 1104 - 2168 + 2*i. What is k(q(h))?
-112*h
Let c(f) = -73*f**2 + 9340*f. Let o(j) = 118*j. Give c(o(k)).
-1016452*k**2 + 1102120*k
Let f(j) be the third derivative of 35*j**2 + 0 + 0*j - 1/24*j**4 + 0*j**3. Let c(w) = -8*w. Determine f(c(o)).
8*o
Let h(u) = 259*u**2 + 66. Let p(m) = 10*m - 2. Calculate h(p(x)).
25900*x**2 - 10360*x + 1102
Let h(m) be the second derivative of 13*m**4/12 + 254*m. Let i(k) = -68*k**2. What is h(i(o))?
60112*o**4
Let n(o) = -5397*o + 7924*o - 5084*o. Let d(u) = -2*u**2. Calculate n(d(y)).
5114*y**2
Let i be (9/(-6))/((-9)/12). Let s(d) = -16*d - 3*d - 11*d - i*d. Let f(c) = 5*c**2. Calculate s(f(x)).
-160*x**2
Let t(r) = 651801*r. Let z(g) = -g. Give t(z(q)).
-651801*q
Suppose -23*f - 65*f = 0. Let d(b) be the third derivative of 0*b**4 + 1/12*b**5 + 0 - b**2 + f*b + 0*b**3. Let u(j) = -j**2. Determine d(u(i)).
5*i**4
Let x(a) = -9*a**2 - 5*a**2 + 3*a**2 + 5*a**2. Suppose -5*b + 212 = 187. Let j(u) = b*u - 3*u**2 - 5*u - u**2. Give j(x(d)).
-144*d**4
Let b(s) = 2523*s + 15. Let a(c) = -2974*c. What is b(a(t))?
-7503402*t + 15
Let k(j) = 21*j - 1. Let y(a) = -32955*a**2 + 65891*a**2 - 32942*a**2. What is y(k(u))?
-2646*u**2 + 252*u - 6
Let j(u) = -4365*u**2. Let n(h) be the third derivative of -h**4/24 - 3634*h**2. What is j(n(q))?
-4365*q**2
Let r = 176 + -174. Let g(d) = -11*d**r - 21*d**2 + 11*d**2. Let a(l) = 8*l. Give a(g(j)).
-168*j**2
Let r(g) = -189*g + 1. Let a be r(-5). Let o(j) = 946 + 2*j - a. Let c(s) = 2*s - 1. Calculate c(o(v)).
4*v - 1
Let n(d) = 253*d**2 + 252*d**2 - 751*d**2 + 251*d**2. Let s(g) = -2*g**2 - 1. What is s(n(k))?
-50*k**4 - 1
Let h(s) = -s. Let t = -867 - -875. Let o(n) = -32*n + 19*n + 9*n + t*n. What is o(h(m))?
-4*m
Let l(t) = -6*t**2. Let m(s) = 223745668*s**2. Calculate m(l(c)).
8054844048*c**4
Let z(q) = -18*q**2. Let m(f) = 2*f + 160167. Determine m(z(o)).
-36*o**2 + 160167
Let s(o) = -10*o - 2. Let j(u) = -u**2 + 15*u + 3. Let b(r) = 2*j(r) + 3*s(r). Let q(l) = -45*l - 5. Calculate q(b(w)).
90*w** | {
"pile_set_name": "DM Mathematics"
} |
asing order.
-2, 0.4, 5, 43
Sort -4, -22, -0.05, 4 in decreasing order.
4, -0.05, -4, -22
Put 20, 0, -1, 5, 2 in ascending order.
-1, 0, 2, 5, 20
Sort 0, 472, 2, 3 in decreasing order.
472, 3, 2, 0
Put 3/8, 38, 0.5, 2/7 in descending order.
38, 0.5, 3/8, 2/7
Put 11, -0.5, 10, 3 in increasing order.
-0.5, 3, 10, 11
Sort 0.7, 0.4, -39/8 in descending order.
0.7, 0.4, -39/8
Sort 3, -0.2, 4.3, 1 in descending order.
4.3, 3, 1, -0.2
Sort -2, 78, 2, -5.
-5, -2, 2, 78
Sort 5, -2, 2, 153 in decreasing order.
153, 5, 2, -2
Put -4, -2, 0, 9 in ascending order.
-4, -2, 0, 9
Sort 2/9, 0.4, 17 in increasing order.
2/9, 0.4, 17
Sort 3.3, -2, 2/9, -22, -2/17 in descending order.
3.3, 2/9, -2/17, -2, -22
Put -19, 1, -1, -0.3 in ascending order.
-19, -1, -0.3, 1
Sort -26, 5, 1, 0 in descending order.
5, 1, 0, -26
Put -8, 3, 6/5 in descending order.
3, 6/5, -8
Put -0.2, 1/15, -3, 1/4 in decreasing order.
1/4, 1/15, -0.2, -3
Put -22, 5, 24, 1, -3 in decreasing order.
24, 5, 1, -3, -22
Sort -5, -3, -4, 18 in decreasing order.
18, -3, -4, -5
Sort -0.5, 0.3, -3/5, 5/7 in descending order.
5/7, 0.3, -0.5, -3/5
Sort -5, 12, 4, 2 in increasing order.
-5, 2, 4, 12
Put -1, -860, 1, 3 in decreasing order.
3, 1, -1, -860
Sort 4, -124, 0.4, -1 in descending order.
4, 0.4, -1, -124
Sort 1/9, 0.8, -4/7, 4 in descending order.
4, 0.8, 1/9, -4/7
Put 11, 0.6, 1/11 in decreasing order.
11, 0.6, 1/11
Sort -181, -4, 48 in ascending order.
-181, -4, 48
Put 0.02, -11, 0.3 in descending order.
0.3, 0.02, -11
Sort -1/10, -2/5, -2.
-2, -2/5, -1/10
Put -39, -1, -6 in decreasing order.
-1, -6, -39
Sort -1, -217, -3 in ascending order.
-217, -3, -1
Sort -16, -1/7, -2, 1/4.
-16, -2, -1/7, 1/4
Sort -1/3, 0, 41 in increasing order.
-1/3, 0, 41
Sort -27, 3, 0, -2.
-27, -2, 0, 3
Sort -2, 2, -13, 0, -18 in ascending order.
-18, -13, -2, 0, 2
Put 6, -29, 3 in decreasing order.
6, 3, -29
Sort -4.2, 0, -1 in decreasing order.
0, -1, -4.2
Put 9, -2, 1 in ascending order.
-2, 1, 9
Put 27, -1, 3, -6 in ascending order.
-6, -1, 3, 27
Put 1, 1/2, 11/5, 2/23 in ascending order.
2/23, 1/2, 1, 11/5
Put -1/5, -4, -15, 0.01 in descending order.
0.01, -1/5, -4, -15
Put 0.07, -2/5, 3, 2/3, 0.09 in decreasing order.
3, 2/3, 0.09, 0.07, -2/5
Sort 94, -7, -5, -1, 5 in decreasing order.
94, 5, -1, -5, -7
Put 3, 2, -5, 7/4 in descending order.
3, 2, 7/4, -5
Sort 5, 3, -5, -2/37.
-5, -2/37, 3, 5
Put -4, -0.4, 2/253 in descending order.
2/253, -0.4, -4
Sort 5/4, 3/2, 0.2, -8.
-8, 0.2, 5/4, 3/2
Sort 196, -2, -10 in descending order.
196, -2, -10
Put -1.1, 1/10, -5, -1/6 in ascending order.
-5, -1.1, -1/6, 1/10
Sort 4, 5, -19, -83 in decreasing order.
5, 4, -19, -83
Sort -1, -2, 2, 75, -4 in decreasing order.
75, 2, -1, -2, -4
Put -10, -2/109, -2 in increasing order.
-10, -2, -2/109
Sort -30, 0.8, -3/2, -1/2, -1.
-30, -3/2, -1, -1/2, 0.8
Sort -0.4, -5, -0.01, -39, 1 in decreasing order.
1, -0.01, -0.4, -5, -39
Put -0.3, 5/3, 3/16, -0.2, -0.8 in decreasing order.
5/3, 3/16, -0.2, -0.3, -0.8
Sort 0.8, 0.2, -6 in ascending order.
-6, 0.2, 0.8
Sort 0.2, 1/2, -474/11 in increasing order.
-474/11, 0.2, 1/2
Put 21, 20, 3 in ascending order.
3, 20, 21
Sort 0, 3, -5, 134.
-5, 0, 3, 134
Sort -0.5, 3, 2/7 in ascending order.
-0.5, 2/7, 3
Put 1, -4, -5, 9 in descending order.
9, 1, -4, -5
Put -2/23, 3, 4, 1 in decreasing order.
4, 3, 1, -2/23
Put 0, -4, 2, -3 in ascending order.
-4, -3, 0, 2
Sort 1, 5, -208, -4 in ascending order.
-208, -4, 1, 5
Sort -5, 5, -94, -3 in descending order.
5, -3, -5, -94
Sort -1, 3, -5, -188 in descending order.
3, -1, -5, -188
Put -5/8, 1, -1 in increasing order.
-1, -5/8, 1
Sort -2/5, -5, 2/5, -0.075.
-5, -2/5, -0.075, 2/5
Sort -3/4, -984, 2, 1/3 in increasing order.
-984, -3/4, 1/3, 2
Put -2, 3, 2, 17 in descending order.
17, 3, 2, -2
Sort -683, 4, 0, 1 in increasing order.
-683, 0, 1, 4
Put 0.08, 0.1, -0.06 in increasing order.
-0.06, 0.08, 0.1
Sort 0.1, -1/5, -3/4, 0 in increasing order.
-3/4, -1/5, 0, 0.1
Sort 0, -1/7, 0.2, -2 in descending order.
0.2, 0, -1/7, -2
Sort -2/9, 5, -0.1 in ascending order.
-2/9, -0.1, 5
Put 69, 3, 1/4, -2/33 in descending order.
69, 3, 1/4, -2/33
Put -0.3, 2/3, 66 in decreasing order.
66, 2/3, -0.3
Put 51, -12, 1 in descending order.
51, 1, -12
Sort -1, 5, -13 in descending order.
5, -1, -13
Put -21, 2, -14, 0 in decreasing order.
2, 0, -14, -21
Put 0, -5, 5, 7341 in descending order.
7341, 5, 0, -5
Sort -514, 0, 4, -5, 5 in increasing order.
-514, -5, 0, 4, 5
Sort -3/8, 15.3, -3/2 in decreasing order.
15.3, -3/8, -3/2
Sort -0.1, 1/10, -1/4 in decreasing order.
1/10, -0.1, -1/4
Sort 83, 5, 34.
5, 34, 83
Sort -0.4, -0.3, 1/9, 18, 3 in descending order.
18, 3, 1/9, -0.3, -0.4
Put 4, -0.023, -1, 1 in increasing order.
-1, -0.023, 1, 4
Sort 0.1, 11, -2 in increasing order.
-2, 0.1, 11
Put -13, 12, 5, 1 in increasing order.
-13, 1, 5, 12
Sort -0.5, -6, 1, -9 in ascending order.
-9, -6, -0.5, 1
Put 0, -1, -29 in descending order.
0, -1, -29
Put -2, 3434, -5 in decreasing order.
3434, -2, -5
Put 0.4, 8, -5, 4, -3 in ascending order.
-5, -3, 0.4, 4, 8
Put 1.6, 4/3, 1 in increasing order.
1, 4/3, 1.6
Put -1, -5, -9, 6, 2 in increasing order.
-9, -5, -1, 2, 6
Sort 4, 8, -1, 9, -3.
-3, -1, 4, 8, 9
Put 10, 3, -1/3, -0.1 in decreasing order.
10, 3, -0.1, -1/3
Put -1/4, 7/2, 15 in descending order.
15, 7/2, -1/4
Sort 3, -28, -5, 4.
-28, -5, 3, 4
Put 5, 27, 4, -5 in descending order.
27, 5, 4, -5
Sort -5, 5, 2, -8.
-8, -5, 2, 5
Sort -3, 4, 3/5, -0.081 in ascending order.
-3, -0.081, 3/5, 4
Put 1, -46, -30, 3 in increasing order.
-46, -30, 1, 3
Put -0.4, 0, 0.026 in decreasing order.
0.026, 0, -0.4
Put -15, -3, -154 in ascending order.
-154, -15, -3
Put 4, 28, 2/15, -1/3 in decreasing order.
28, 4, 2/15, -1/3
Sort 144, 8, 4 in ascending order.
4, 8, 144
Sort 2, -1, 5, 104, -0.5 in increasing order.
-1, -0.5, 2, 5, 104
Sort 21, -2, -4, 5 in descending order.
21, 5, -2, -4
Sort 2, -7, -5 in decreasing order.
2, -5, -7
Sort -5, 17, -4/7, -2.
-5, -2, -4/7, 17
Sort 1, -4, 48, -2 in decreasing order.
48, 1, -2, -4
Sort -24, -3/5, 1, 3 in decreasing order.
3, 1, -3/5, -24
Sort 3, -5, -47, 1.
-47, -5, 1, 3
Sort -5, -8, 4, 7 in decreasing order.
7, 4, -5, -8
Put -3, -15, 0, -2 in descending order.
0, -2, -3, -15
Sort 14, 0, -3, -4 in decreasing order.
14, 0, -3, -4
Put -4, -0.4, -11, 13 in decreasing order.
13, -0.4, -4, -11
Put 0.07, 0.5, 1.9, 1 in decreasing order.
1.9, 1, 0.5, 0.07
Sort -12, -5, 0 in descending order.
0, -5, -12
Sort 1/4, -1, 13, 1/2 in descending order.
13, 1/2, 1/4, -1
Sort 4, -2, 104 in increasing order.
-2, 4, 104
Sort -1.2, 3, 2, -2/49 in descending order.
3, 2, -2/49, -1.2
Sort 0.15, -2/3, -8, -1/2, 1 in increasing order.
-8, -2/3, -1/2, 0.15, 1
Sort -71, 0, -24 in decreasing order.
0, -24, -71
Put -8, 2/9, -0.2 in descending order.
2/9, -0.2, -8
Sort 11, -5, -4 in descending order.
11, -4, -5
Sort -43, -2, 10, -3 in ascending order.
-43, -3, -2, 10
Sort 4, -26, 1/32, 0.4.
-26, 1/32, 0.4, 4
Sort 4, -1, 2, -37 in descending order.
4, 2, -1, -37
Sort 2, 20, -7.
-7, 2, 20
Sort -0.4, -3/7, 1, 2/49.
-3/7, -0.4, 2/49, 1
Put -3, 2, -6, -21 in increasing order.
-21, -6, -3, 2
Sort 5, -8, -1, 1, 2.
-8, -1, 1, 2, 5
Put -0.1, -21, -0.5, 2/3, 3 in increasing order.
-21, -0.5, -0.1, 2/3, 3
Sort -2, -5, 18, 2 in increasing order.
-5, -2, 2, 18
Sort 2/1733, -0.3, 0, 1 in descending order.
1, 2/1733, 0, -0.3
Put 1, 5, 13, 0, 4 in decreasing order.
13, 5, 4, 1, 0
Sort 0.3, 28/11, 2 in descending order.
28/11, 2, 0.3
Put -6, 0, 7 in decreasing order.
7, 0, -6
Put -0.5, 5/6, 4, -4.6 in decreasing order.
4, 5/6, -0.5, -4.6
Sort -40, 4, 7, 2 in descending order.
7, 4, 2, -40
Put 0.4, -1, 4, -0.6, -105 in descending order.
4, 0.4, -0.6, -1, -105
Put 4, -0.2, -0.7, -1.73 in decreasing order.
4, -0.2, -0.7, -1.73
Put 611, 5, -1 in ascending order.
-1, 5, 611
Sort 1, 2, -3/4, 1/15, 1.3 in decreasing order.
2, 1.3, 1, 1/15, -3/4
Sort 1, 3, 0.347, 2/13 in increasing order.
2/13, 0.347, 1, 3
Sort -10, -104, -4, 5 in increasing order.
-104, -10, -4, 5
Sort 0.5, -1/8, -2, -1, 3/10 in ascending order.
-2, -1, -1/8, 3/10, 0.5
Sort -1/8, -1366, 1/6 in increasing order.
-1366, -1/8, 1/6
Put 0.5, 1/83, 3, 1/4 in descending order.
3, 0.5, 1/4, 1/83
Sort -90, -2, 3, -3 in descending order.
3, -2 | {
"pile_set_name": "DM Mathematics"
} |
y. Let q(a) = 8*d(a) - 3*z(a). Find the second derivative of q(n) wrt n.
-8
Let d(o) be the second derivative of -o**5/15 + o**4/8 - 7*o**3/6 - 3*o. Let k(m) be the second derivative of d(m). Differentiate k(s) with respect to s.
-8
Let d(j) be the first derivative of 3*j**4/2 + 2*j**3/3 + 2. What is the third derivative of d(u) wrt u?
36
Let t(h) = h**2 + 4*h - 2. Let a be t(-6). Find the third derivative of 3*j**3 - a*j**2 - 3*j**3 - 6*j**6 + 9*j**6 wrt j.
360*j**3
Find the third derivative of 6*a**2 - 20*a**6 + a**2 + 11*a**2 - 2*a**6 wrt a.
-2640*a**3
Let h(d) be the third derivative of d**5/24 + 5*d**4/24 - 7*d**3/6 + 3*d**2. Let n(l) be the first derivative of h(l). What is the derivative of n(q) wrt q?
5
Let h(w) be the second derivative of 1/12*w**4 + 0 + 5*w + 0*w**2 + 5/6*w**3. What is the second derivative of h(i) wrt i?
2
Let j(n) = -n**4 - n**3 + n. Let f(q) = -3*q**4 - 4*q**3. Let u = 1 - 2. Let r(w) = u*f(w) + 4*j(w). What is the second derivative of r(g) wrt g?
-12*g**2
Suppose 2*p = 4*p + 4*s - 26, -5*s = 5*p - 40. Find the first derivative of 8*y + 1 - 4*y - p*y - 4*y wrt y.
-3
Suppose -4*w = c - 2, 5*c + 0*c = 5*w + 10. Let s(n) be the first derivative of 0*n + 2 + 1/2*n**c - 2/3*n**3. What is the second derivative of s(h) wrt h?
-4
Let z(c) be the third derivative of -19*c**7/210 + 7*c**5/60 - 18*c**2. What is the third derivative of z(n) wrt n?
-456*n
Find the third derivative of -9*p**6 + 19 + 20 - 39 - 11*p**2 wrt p.
-1080*p**3
Let a = -7 + 10. Find the third derivative of 12*k**2 - 2*k**3 - 3*k**a + 0*k**3 - 14*k**2 wrt k.
-30
Let n(o) be the second derivative of -7*o**4/12 - 7*o**2/2 + 2*o. Differentiate n(x) wrt x.
-14*x
Let t(p) be the third derivative of -5*p**4/12 - 4*p**3/3 + 9*p**2. What is the derivative of t(m) wrt m?
-10
Let x = -3 + 7. Differentiate m + 1 - 3 + x wrt m.
1
Let d be (-1)/(-5) - 38/(-10). Suppose d*s - s - 12 = 0. What is the second derivative of v**4 + 2*v - 2*v**4 + 3*v**s wrt v?
24*v**2
Let d(h) = -h - 3. Let c be d(-6). Find the second derivative of -5*z + c*z - 5*z - 2*z**3 + 5*z wrt z.
-12*z
Let j be 3 + 2/(-2) + -1. What is the first derivative of 2*k**2 + j + 3*k**2 + 5 wrt k?
10*k
Let s(z) = -z**3 + 6*z**2 + 8*z - 5. Let d be s(7). What is the first derivative of -2*t**d - 3 + 4 - 3 wrt t?
-4*t
Let v(g) = 4*g**2 - g + 1. Let t be v(1). Find the second derivative of 0*o**3 - 2*o - t*o**3 + 3*o wrt o.
-24*o
Let n(s) be the first derivative of -18*s**5/5 - 6*s - 1. Find the first derivative of n(p) wrt p.
-72*p**3
Let c(x) be the third derivative of -7/60*x**5 + 0*x**4 + 0 - 4*x**2 + 7/120*x**6 + 0*x**3 + 0*x. What is the third derivative of c(b) wrt b?
42
Let j(q) be the second derivative of -4*q**6/15 + 7*q**3/2 + 9*q. Find the second derivative of j(o) wrt o.
-96*o**2
Let j(a) = -33*a**4 - 7*a**2 + 114*a. Let c(q) = 22*q**4 + 5*q**2 - 76*q. Let d(h) = 7*c(h) + 5*j(h). Find the second derivative of d(l) wrt l.
-132*l**2
Let a(h) be the first derivative of 0*h**3 + 0*h**2 - 5*h - 1/2*h**4 - 1. Differentiate a(r) wrt r.
-6*r**2
Let y(w) be the second derivative of w**8/112 + w**4/24 + 3*w**2/2 - 3*w. Let h(b) be the first derivative of y(b). Find the second derivative of h(t) wrt t.
60*t**3
Let k(p) = -p**4 - 3*p - 12. Let y(d) = 2*d**4 + 4*d + 13. Let n(u) = -4*k(u) - 3*y(u). Differentiate n(l) with respect to l.
-8*l**3
Let r(a) = -5*a**4 + 9*a - 28*a**3 + 6 + 28*a**3. Let g(o) = -9*o**4 + 17*o + 11. Let m(i) = 6*g(i) - 11*r(i). Find the second derivative of m(s) wrt s.
12*s**2
What is the third derivative of -5*b**2 + 0*b**2 + 3*b**5 + 3*b**5 wrt b?
360*b**2
Let l(z) = z**2 - 17*z + 2. Let d be l(17). What is the second derivative of 0*w**4 - w**4 - d*w + w**4 + 2*w**4 wrt w?
24*w**2
Let u(b) = 11*b**6 - 3*b**3 + 12*b**2 + 3*b. Let f(j) = 12*j**6 - 4*j**3 + 13*j**2 + 4*j. Let h(g) = -3*f(g) + 4*u(g). Find the third derivative of h(a) wrt a.
960*a**3
Let j = 0 - -1. Let g be 0 - 2/(-2)*j. Differentiate g + 2 - 5 - 2*d**4 with respect to d.
-8*d**3
Suppose -14*v = -12*v - 4. Suppose 5 = 2*t - 3. What is the first derivative of 2*y**v + 4*y + 1 - t*y wrt y?
4*y
Let t be 11/(-5) - 1/(-5). Let y(d) = 8*d**3. Let p(w) = 7*w**3 + 1. Let f(a) = t*y(a) + 3*p(a). Differentiate f(j) wrt j.
15*j**2
Let y(w) be the third derivative of w**4/12 + w**3/3 - 6*w**2. What is the derivative of y(f) wrt f?
2
Let j(m) be the first derivative of m**8/420 - m**5/60 + 8*m**3/3 - 4. Let v(b) be the third derivative of j(b). What is the second derivative of v(q) wrt q?
48*q**2
Let k(f) = -15*f**5 - 15*f**3 - 15*f**2 - 33*f. Let c(p) = p**3 + p**2 - p. Let j(h) = -15*c(h) - k(h). What is the second derivative of j(n) wrt n?
300*n**3
Let i = -15 + 21. Find the third derivative of -4*w**6 - 72*w + i*w**2 + 72*w wrt w.
-480*w**3
Let f(w) = 2*w**3 - 5*w**2 + 2*w. Let d be f(3). Suppose 10 = 5*b - d. What is the second derivative of -3*q**b + 2*q**5 - 2*q + q wrt q?
-20*q**3
Find the second derivative of -20*a**3 + 925*a**2 - 925*a**2 + 23*a wrt a.
-120*a
Suppose 5*z + 5*b = -35, 0 = b + b + 8. Let y = 0 - z. What is the derivative of 2*r**y + 0 + 1 + 1 wrt r?
6*r**2
Find the second derivative of -a + 10*a - 6*a - 19*a**3 + 15*a wrt a.
-114*a
Suppose -3*q - 8 = 31. Let k(y) = -31*y**2 - 12. Let t(d) = -15*d**2 - 6. Let w(o) = q*t(o) + 6*k(o). Differentiate w(b) wrt b.
18*b
Let q(n) = -2*n. Let l be q(-1). Suppose 5*z - l*z = 6. What is the third derivative of u**z + 2*u**2 - u**6 + 3*u**6 wrt u?
240*u**3
Let b(d) = d - 2. Let s be b(6). What is the derivative of -3 - c**4 + 1 + 2*c**s wrt c?
4*c**3
What is the third derivative of -8*j**6 - 4*j**6 + 4*j**6 - j**2 wrt j?
-960*j**3
Let q(u) = 4*u**2 + u. Let a be q(-1). Differentiate 1 + 3 - 5 - j**a with respect to j.
-3*j**2
Let d(b) be the third derivative of 0*b - 1/210*b**7 - b**2 + 0 + 1/6*b**3 + 0*b**5 + 0*b**4 + 0*b**6. What is the derivative of d(i) wrt i?
-4*i**3
Let a(t) be the second derivative of -1/60*t**5 - 1/6*t**3 + 0 + 0*t**2 + 3*t - 1/24*t**4. Let i(m) be the second derivative of a(m). Differentiate i(w) wrt w.
-2
Let m(c) = -c**3 + 6*c**2 + 9*c - 10. Let y be m(7). Find the second derivative of 4*a**2 + 4*a - 4*a**y - 4*a**2 wrt a.
-48*a**2
Let g(t) be the first derivative of 0*t**2 + 0*t - 2 + 0*t**4 - 1/3*t**3 + 0*t**6 + 0*t**5 + 1/7*t**7. What is the third derivative of g(k) wrt k?
120*k**3
What is the second derivative of -982*j**3 + 982*j**3 + 2*j - 19*j**4 wrt j?
-228*j**2
Suppose -z - 74 = 5*a, -5*a + z = -3*z + 79. Let l = -8 - a. What is the third derivative of 6*n**2 + n**5 - l*n**2 - 3*n**2 wrt n?
60*n**2
Let o(t) = 2*t - 10. Let n be o(7). Let k be (6 - (4 + -2))/2. Find the third derivative of c**2 - c**n - k*c**6 + c**4 wrt c.
-240*c**3
Let a be 30/(-7) + 6/21. Let i be -2*(a - -2)/2. What is the third derivative of 3*r**4 - 2*r**i - 5 + 4*r**2 + 5 wrt r?
72*r
Let h = -4 - -6. Suppose -g = 5*q - 17, q + q + 2*g = h. Differentiate -4 - 2*c**4 + c**q + 1 - 2*c**4 with respect to c.
-12*c**3
Let j(y) be the third derivative of -y**6/60 + 5*y**3/2 + 4*y**2. What is the derivative of j(b) wrt b?
-6*b**2
Let l be (0 - -2)/(-1) + -1. Let s(a) = 3. Let b(z) = z - 2. Let k(q) = -q + 1. Let p be k(4). Let d(m) = l*s(m) + p*b(m). Differentiate d(f) with respect to f.
-3
Let u(b) be the third derivative of 0 - 1/20*b**5 + 1/2*b**3 + 0*b + 2*b**2 + 0*b**4. What is the derivative of u(r) wrt r?
-6*r
Let h(r) = 8*r**4 + 0*r**2 + 5*r**2 - r**4 + 2*r. Let u(z) = 29*z**4 + 20*z**2 + 9*z. Let m(s) = -9*h(s) + 2*u(s). What is the third derivative of m(f) wrt f?
-120*f
Suppose 2*c - 4*f - 31 = -9, f + 1 = -c. Suppose b = 5*d - 12, -c*d + 3*b + 6 = 2*d. Find the second derivative of 0*l - 4*l**3 - 2*l + 0*l + l**d wrt l.
-18*l
Let f(z) be the first derivative of -8*z**3/3 + z**2 - 2. What is the second derivative of f(p) wrt p?
-16
Let o(s) be the second derivative of s**7/21 - 5*s**4/12 + 3*s. What is the third derivative of o(m) wrt m?
120*m**2
Let t(j) be the first derivative of -4 + 0*j**3 + 0*j**2 - 4*j + 0*j**4 + 8/5*j**5. Differentiate t(k) with respect to k.
32*k**3
Suppose -3*l - 2*l + 3*o + 14 = 0, -o = 2*l - 10. Suppose -l*j = -23 - 1. Find the third derivative of 4*s**6 - j*s**2 - 2*s**6 + s**2 + 4*s**2 wrt s.
240*s**3
Let m(z) = 20*z**5 + 6*z | {
"pile_set_name": "DM Mathematics"
} |
f(q) = q**2 + 7*q**2 + 11*q**2. Let n(r) = -2*r. Calculate f(n(g)).
76*g**2
Let d(q) = -24*q. Let v(t) = -9*t. Give v(d(p)).
216*p
Suppose 0 = 4*n - 4, 3*m - 2*n - 7 = -0. Let z(w) = 17 - 17 - m*w + 2*w. Let a(f) = -1. Let j(p) = p + 3. Let u(k) = 3*a(k) + j(k). Give z(u(v)).
-v
Let c(g) = -g. Let a(y) be the third derivative of -y**6/40 + y**3/6 + 4*y**2. Let k(w) be the first derivative of a(w). Determine c(k(z)).
9*z**2
Let v(x) be the third derivative of -x**5/20 - 21*x**2. Let u(h) = 12*h**2. Determine v(u(f)).
-432*f**4
Let b(g) = -3*g**2. Let u(n) = -10*n - 7*n + 15*n. Determine u(b(v)).
6*v**2
Let b(v) = -v. Let j(n) = -4*n**2 - 5*n. Let s(g) = g**2 + g. Let p(x) = j(x) + 5*s(x). Determine b(p(m)).
-m**2
Let j(s) = -s - 5*s + 17*s - 2*s. Let n(q) = -q + 1. Let m be n(2). Let u(h) = -1. Let x(y) = y**2 + 2. Let o(w) = m*x(w) - 2*u(w). Give o(j(k)).
-81*k**2
Let w(d) = -3*d. Suppose 5*p = -15, -1 = 4*y - p - 12. Let j(k) = -2*k + y*k + 0*k + 2*k. Determine w(j(z)).
-6*z
Let q(i) = 7*i - 2*i - 6*i. Let t(l) = -l**2 + 29. Calculate t(q(c)).
-c**2 + 29
Let g(r) = 48 - 22 + r - 26. Let w(i) = -3*i. What is w(g(b))?
-3*b
Let g(i) = -4*i**2. Let n(s) be the second derivative of -s**4/24 - 9*s**2/2 - 6*s. Let f(r) be the first derivative of n(r). Calculate f(g(p)).
4*p**2
Let a(l) = -4*l**2. Let m be 1/((-42)/(-132) - 2/(-11)). Let f(c) be the first derivative of 0*c + 0*c**2 - m - 1/3*c**3. Give f(a(d)).
-16*d**4
Let p(y) = y. Let n(v) = -1. Let k(z) = -6*z + 12. Suppose 3*r + 25 = -11. Let q(c) = r*n(c) - k(c). Calculate q(p(u)).
6*u
Let c(i) = -i**2. Let h(o) = 791*o. Calculate c(h(d)).
-625681*d**2
Suppose 3*x = x + 3*m - 24, -3*m = -12. Let i = x + 8. Let j(o) = -o + o**i + o. Let h(y) = -y**2. Determine h(j(g)).
-g**4
Let g(b) = 2*b. Let t(q) = -7*q. Let p(f) = -120*f. Let c(y) = -2*p(y) + 35*t(y). Calculate c(g(n)).
-10*n
Let q(m) = -3*m. Let c(o) = -13*o + 9*o + 4*o + 3*o**2. Calculate q(c(n)).
-9*n**2
Let p(a) = -16*a**2 - 6*a. Let d(n) = -2*n. Give d(p(t)).
32*t**2 + 12*t
Let a(v) = -4*v**2. Let q(p) = -12*p**2 + 7*p. Determine q(a(o)).
-192*o**4 - 28*o**2
Let j(d) = 6*d + 4. Let s(p) be the third derivative of p**4/24 - 3*p**2 - 9. Give j(s(h)).
6*h + 4
Let u(y) = -2*y + 5. Let n(q) = -q + 4. Let j(c) = -5*n(c) + 4*u(c). Let a(r) = -12*r. Determine a(j(b)).
36*b
Let t(c) = 2*c. Let g(y) = y. Let j be 4*(-2)/(8/4). Let u(k) = 14*k. Let m(b) = j*g(b) + u(b). Give m(t(p)).
20*p
Let t(p) = -2*p. Let j(l) = 152*l**2 + 2*l. Calculate t(j(o)).
-304*o**2 - 4*o
Let y(w) = w**2. Let p = -70 + 70. Let k(q) be the third derivative of 0*q + 0*q**3 + 1/12*q**4 + 3*q**2 + p. Calculate k(y(c)).
2*c**2
Let t(o) = 3*o. Let r(i) = 5*i - 4. Let k(c) = -c + 1. Let s(x) = 4*k(x) + r(x). What is s(t(y))?
3*y
Let f(n) = 2*n. Let v(k) be the first derivative of 3 + 1/2*k**2 + 0*k. What is f(v(b))?
2*b
Let x(r) = -25*r + 8*r + 2*r**2 + 17*r. Let d(h) be the second derivative of -2*h**3/3 - 5*h. Calculate x(d(k)).
32*k**2
Let i(o) = -64*o**2. Let r(l) = -l - 2. What is r(i(t))?
64*t**2 - 2
Let v(y) = 2714*y**2. Let n(h) = -3*h**2. What is v(n(o))?
24426*o**4
Suppose -3*f - 5*c + 4 = -4*c, 3*f - 12 = 3*c. Let o(w) = w - w**f - w. Let x(a) = 3*a - 15 + 8 + 7. What is o(x(b))?
-9*b**2
Let u(b) = 2*b - 5. Suppose 5*t - 32 = 18. Let h(d) = -d + 3. Let a(x) = t*h(x) + 6*u(x). Let m(r) = 2*r. Give m(a(f)).
4*f
Let n(p) = -13*p**2. Let b(z) = -4*z. Let o(v) = -17*v. Let w(s) = 9*b(s) - 2*o(s). Calculate n(w(l)).
-52*l**2
Let r(t) = -3*t**2 + 10 - 17 + 7. Let f(n) = n. Calculate r(f(l)).
-3*l**2
Let u(m) = -166*m + 9. Let x(q) = -82*q + 4. Let n(g) = -4*u(g) + 9*x(g). Let i(o) = -2*o**2. What is n(i(z))?
148*z**2
Let r(t) be the third derivative of -t**5/15 - 2*t**2. Let h(k) be the second derivative of 0*k**2 + 1/6*k**4 + 0*k**3 + 0 + 3*k. What is r(h(c))?
-16*c**4
Let w(n) = -n. Let f(b) = -60*b - 3 + 3 + 36*b. Determine f(w(g)).
24*g
Let c(d) = -11*d - 9. Let z(y) = 3*y + 2. Let m(t) = 2*c(t) + 9*z(t). Let j(o) = -3*o. What is j(m(h))?
-15*h
Let g(i) = 6*i. Let j(q) = -3*q. Let u(w) = 6*g(w) + 11*j(w). Let h(z) = z. Let s(t) = -15*h(t) + 3*u(t). Let a(f) = 3*f**2. What is s(a(b))?
-18*b**2
Let d(o) = -112*o - 110*o + 220*o. Let a(i) be the second derivative of -i**4/6 + i. Determine a(d(v)).
-8*v**2
Let h(k) = 2*k**2. Let x(c) = 6656*c**2. What is x(h(q))?
26624*q**4
Let d(m) = -18*m**2. Let n(r) = 3*r - 3*r - r - r. What is n(d(k))?
36*k**2
Let i(v) be the second derivative of -v**3/3 + v. Let h(r) = 9*r. Let c(n) = 2*n + n - 4*n + 5*n. Let j(d) = 7*c(d) - 3*h(d). What is i(j(s))?
-2*s
Let y(q) = 4*q. Let r(j) = -6*j + 10. What is r(y(p))?
-24*p + 10
Let g(c) = 390*c**2. Let r(l) = -2*l. What is g(r(u))?
1560*u**2
Let a(n) = 4*n. Let x(h) = -109*h**2 + 2. Give x(a(d)).
-1744*d**2 + 2
Let w(y) = -y - 3*y + 2*y. Let o(x) = -8*x**2 - 4. Let m(z) = 9*z**2 + 5. Let q(i) = -4*m(i) - 5*o(i). Calculate q(w(d)).
16*d**2
Let x(o) = -o**2. Let q(i) = -57*i**2 + 2*i - 1. Give q(x(s)).
-57*s**4 - 2*s**2 - 1
Let b(d) = -d. Let v(c) = -7*c**2. Let p(t) = -t**2. Let a(m) = 5*p(m) - v(m). What is a(b(f))?
2*f**2
Let s(y) = 6*y + 27*y + y - 8*y. Let k(q) = q. Calculate k(s(i)).
26*i
Let z(g) = 295*g**2. Let i(l) = 3*l**2. What is z(i(x))?
2655*x**4
Let v(a) = 26*a**2. Let f(c) = 26*c. Calculate f(v(p)).
676*p**2
Let v(j) = -10*j. Let m(t) = -104*t. Determine m(v(r)).
1040*r
Let q(z) = 8*z**2 - 6*z + 6. Let i(p) = 24*p**2 - 17*p + 17. Let h(o) = -6*i(o) + 17*q(o). Let g(v) = 2*v**2. Give h(g(s)).
-32*s**4
Let u(q) = 16*q + 14. Let f(s) = 3*s + 3. Let c(x) = 14*f(x) - 3*u(x). Let m(n) = 2*n**2. Give m(c(h)).
72*h**2
Let b(n) = n - 1. Let v(j) = -j**2 + 6*j - 6. Let r(i) = 6*b(i) - v(i). Let s(m) = 17*m. What is r(s(x))?
289*x**2
Let a = 23 + -2. Let s(l) = -a*l + 21*l - l**2. Let r(g) = -g**2. Give s(r(d)).
-d**4
Let q(x) be the third derivative of -3*x**2 + 0*x**3 + 0*x + 0*x**4 + 1/30*x**5 + 0. Let c(a) = 2*a. Determine c(q(l)).
4*l**2
Let k(w) = w**2. Let l(m) = -286*m**2. Give l(k(h)).
-286*h**4
Let m(f) be the first derivative of -2/3*f**3 + 0*f**2 + 0*f - 4. Let a(t) = 2*t**2. Give m(a(w)).
-8*w**4
Let i(y) = -1. Let a(s) = -4*s - 16. Let r(d) = -a(d) + 16*i(d). Let z(g) = -2*g. Determine r(z(u)).
-8*u
Let x(o) = o + 1. Let s(p) = 21*p + 24. Let d(z) = -3*s(z) + 72*x(z). Let l(h) = -2*h**2. Determine d(l(b)).
-18*b**2
Let d(c) = -11*c. Let y(v) = -5*v. Let z(o) = -o. Let t(u) = 2*y(u) - 9*z(u). Determine d(t(f)).
11*f
Let i(n) be the first derivative of 0*n + 0*n**2 - 2 - 2/3*n**3. Let k(m) = -3*m. Determine i(k(t)).
-18*t**2
Let m(y) be the third derivative of y**5/30 + 4*y**2. Let w(r) = -3*r**2. Determine w(m(f)).
-12*f**4
Let g(s) = 3*s - s + 0*s. Let t(r) be the first derivative of r**2 + 3. Determine g(t(l)).
4*l
Let h(m) = -3*m - m + 7*m + 0*m. Let o(w) = -3*w**2 + w**2 + w**2. Calculate h(o(v)).
-3*v**2
Let c(v) = -2*v**2. Let j(k) = -6282*k. What is c(j(t))?
-78927048*t**2
Let r(v) = 11*v - 5. Let y(c) = 5*c. What is r(y(s))?
55*s - 5
Let a(r) = 68*r**2 - 10*r. Let v(c) = 3*c. Give a(v(z)).
612*z**2 - 30*z
Let s(x) = x**3 + 6*x**2 + 2. Let w be s(-6). Let i(f) = 2 - w + 2*f. Let o(c) = -6*c + 7. Let h(b) = 5*b - 6. Let q(m) = 7*h(m) + 6*o(m). Calculate i(q(t)).
-2*t
Let l(m) be the second derivative of m**3/3 + 3*m. Let x(q) be the second derivative of -q**4/4 - 4*q. Determine l(x(t)).
-6*t**2
Let y(x) = -67*x**2 - 4. Let o(g) = 1071*g**2 + 63. Let m(q) = -4*o(q) - 63*y(q). Let i(u) = -u**2. Determine m(i(w)).
-63*w**4
Let u(k) = -2*k - 19. Let c(t) = -5*t**2 + 14. Calculate c(u(l)).
-20*l**2 - 380*l - 1791
Let q(s) = 3*s - 6*s - s - 2*s. Let l(g) = g**2. What is l(q(d))?
36*d**2
Let l(w) be the first derivative of 0*w - 4 - 3/2*w**2. Let p(q) = -3*q. Give p(l(a)).
9*a
Let r(p) be the first derivative of p**4/6 + 2*p + 3. Let t(z) be the first derivative of r(z). Let s(q) = 2*q**2. Give t(s(b)).
8*b**4
Let h(g) = -20*g**2 - 8. Let p(j) = 2*j**2. Calculate h(p(s)).
-80*s**4 - 8
Suppose -5*b + 11 = -4. Let h = b + -1. Let q(a) = h*a + 4*a - 4*a + 0*a. Let y(c) = 4*c**2. Determine q(y(j)).
8*j**2
Let g be 1 + 0 + (0 - -1). Let l(v) = -g*v + 5*v + 0*v. Let t(h) = 4*h + 0*h - 3*h. Determine l(t(q)).
3*q
Let f(d) = -4481*d**2. Let x(y) = -y**2. What is f(x(c))?
-4481*c** | {
"pile_set_name": "DM Mathematics"
} |
5
What is 130 minutes after 9:46 PM?
11:56 PM
How many minutes are there between 9:34 PM and 5:16 AM?
462
What is 689 minutes after 6:47 PM?
6:16 AM
How many minutes are there between 12:38 PM and 2:25 PM?
107
What is 491 minutes before 11:45 PM?
3:34 PM
What is 592 minutes after 2:24 PM?
12:16 AM
How many minutes are there between 3:36 AM and 2:23 PM?
647
What is 578 minutes after 9:14 PM?
6:52 AM
What is 11 minutes before 4:29 AM?
4:18 AM
What is 587 minutes before 11:12 AM?
1:25 AM
How many minutes are there between 6:59 AM and 11:29 AM?
270
What is 283 minutes before 4:46 PM?
12:03 PM
What is 2 minutes after 12:34 PM?
12:36 PM
What is 592 minutes before 12:49 PM?
2:57 AM
What is 167 minutes before 6:26 AM?
3:39 AM
What is 53 minutes before 7:24 AM?
6:31 AM
What is 367 minutes before 11:53 PM?
5:46 PM
What is 252 minutes before 1:14 AM?
9:02 PM
How many minutes are there between 11:24 PM and 3:30 AM?
246
What is 44 minutes before 11:49 AM?
11:05 AM
What is 165 minutes before 12:40 AM?
9:55 PM
What is 44 minutes before 1:35 PM?
12:51 PM
What is 49 minutes before 5:54 PM?
5:05 PM
What is 137 minutes before 5:37 PM?
3:20 PM
What is 291 minutes after 1:18 PM?
6:09 PM
What is 204 minutes before 7:40 PM?
4:16 PM
What is 714 minutes after 9:41 AM?
9:35 PM
What is 502 minutes before 4:42 PM?
8:20 AM
How many minutes are there between 11:08 AM and 5:34 PM?
386
How many minutes are there between 8:44 AM and 7:09 PM?
625
What is 572 minutes before 3:25 PM?
5:53 AM
What is 253 minutes before 4:33 PM?
12:20 PM
How many minutes are there between 4:41 AM and 5:25 AM?
44
What is 184 minutes before 12:52 PM?
9:48 AM
What is 327 minutes after 3:42 PM?
9:09 PM
What is 165 minutes before 1:19 PM?
10:34 AM
How many minutes are there between 7:53 PM and 2:31 AM?
398
How many minutes are there between 1:39 AM and 9:21 AM?
462
How many minutes are there between 8:08 AM and 4:20 PM?
492
What is 528 minutes before 12:29 PM?
3:41 AM
What is 663 minutes before 8:07 AM?
9:04 PM
How many minutes are there between 11:28 PM and 9:20 AM?
592
What is 591 minutes after 2:27 PM?
12:18 AM
How many minutes are there between 11:12 AM and 1:59 PM?
167
How many minutes are there between 11:31 PM and 12:13 AM?
42
How many minutes are there between 8:36 PM and 8:42 PM?
6
What is 373 minutes before 7:59 AM?
1:46 AM
What is 428 minutes before 3:36 PM?
8:28 AM
How many minutes are there between 10:33 PM and 2:43 AM?
250
What is 620 minutes after 7:28 AM?
5:48 PM
How many minutes are there between 9:30 AM and 11:37 AM?
127
What is 366 minutes before 6:23 AM?
12:17 AM
What is 682 minutes after 10:37 PM?
9:59 AM
How many minutes are there between 11:05 AM and 8:29 PM?
564
How many minutes are there between 11:49 PM and 5:43 AM?
354
What is 387 minutes before 1:01 PM?
6:34 AM
How many minutes are there between 10:30 PM and 5:40 AM?
430
What is 503 minutes before 2:24 AM?
6:01 PM
What is 467 minutes before 4:32 AM?
8:45 PM
What is 628 minutes before 7:42 AM?
9:14 PM
How many minutes are there between 3:14 AM and 8:38 AM?
324
How many minutes are there between 9:02 PM and 11:19 PM?
137
What is 572 minutes before 8:11 PM?
10:39 AM
What is 660 minutes after 11:19 PM?
10:19 AM
How many minutes are there between 12:23 PM and 6:05 PM?
342
What is 610 minutes after 5:05 AM?
3:15 PM
How many minutes are there between 6:38 PM and 10:33 PM?
235
How many minutes are there between 7:23 AM and 12:25 PM?
302
How many minutes are there between 11:26 PM and 11:32 PM?
6
What is 508 minutes after 2:53 PM?
11:21 PM
How many minutes are there between 12:37 AM and 7:08 AM?
391
How many minutes are there between 2:20 PM and 1:52 AM?
692
What is 492 minutes before 5:34 AM?
9:22 PM
How many minutes are there between 11:39 AM and 12:06 PM?
27
What is 305 minutes before 4:38 AM?
11:33 PM
What is 53 minutes before 1:13 PM?
12:20 PM
How many minutes are there between 11:22 PM and 1:06 AM?
104
How many minutes are there between 8:39 PM and 7:13 AM?
634
How many minutes are there between 8:37 PM and 7:04 AM?
627
What is 446 minutes before 8:50 AM?
1:24 AM
What is 421 minutes after 12:51 AM?
7:52 AM
What is 597 minutes after 8:55 AM?
6:52 PM
How many minutes are there between 6:23 PM and 9:19 PM?
176
How many minutes are there between 11:17 PM and 7:28 AM?
491
How many minutes are there between 5:13 AM and 2:31 PM?
558
How many minutes are there between 7:33 AM and 7:28 PM?
715
What is 556 minutes before 11:09 AM?
1:53 AM
What is 532 minutes before 7:36 AM?
10:44 PM
How many minutes are there between 12:11 AM and 8:22 AM?
491
What is 264 minutes before 12:09 PM?
7:45 AM
What is 432 minutes after 2:00 PM?
9:12 PM
How many minutes are there between 11:43 PM and 1:30 AM?
107
How many minutes are there between 3:19 PM and 5:22 PM?
123
What is 291 minutes before 2:35 AM?
9:44 PM
What is 430 minutes after 10:37 PM?
5:47 AM
What is 585 minutes after 8:35 PM?
6:20 AM
How many minutes are there between 10:23 PM and 12:47 AM?
144
What is 318 minutes after 11:24 AM?
4:42 PM
How many minutes are there between 8:51 AM and 4:15 PM?
444
What is 6 minutes before 7:29 PM?
7:23 PM
How many minutes are there between 3:58 PM and 3:41 AM?
703
What is 706 minutes before 12:53 AM?
1:07 PM
How many minutes are there between 3:41 PM and 2:38 AM?
657
How many minutes are there between 2:57 AM and 5:52 AM?
175
How many minutes are there between 4:18 AM and 5:12 AM?
54
What is 558 minutes before 5:05 AM?
7:47 PM
How many minutes are there between 4:31 AM and 1:40 PM?
549
What is 490 minutes before 7:11 AM?
11:01 PM
How many minutes are there between 8:12 PM and 10:31 PM?
139
How many minutes are there between 12:19 AM and 10:36 AM?
617
How many minutes are there between 3:11 PM and 9:22 PM?
371
How many minutes are there between 11:32 AM and 9:56 PM?
624
How many minutes are there between 6:01 PM and 10:04 PM?
243
What is 231 minutes before 1:47 AM?
9:56 PM
What is 153 minutes before 5:34 PM?
3:01 PM
How many minutes are there between 9:30 AM and 1:50 PM?
260
What is 472 minutes after 12:26 AM?
8:18 AM
What is 388 minutes after 12:54 PM?
7:22 PM
How many minutes are there between 2:12 PM and 3:49 PM?
97
What is 520 minutes after 11:42 PM?
8:22 AM
What is 675 minutes after 10:22 AM?
9:37 PM
What is 404 minutes before 9:31 PM?
2:47 PM
How many minutes are there between 11:16 PM and 12:44 AM?
88
How many minutes are there between 3:53 AM and 2:11 PM?
618
What is 323 minutes before 10:06 PM?
4:43 PM
How many minutes are there between 5:48 PM and 9:59 PM?
251
What is 264 minutes before 5:50 AM?
1:26 AM
What is 126 minutes before 9:57 PM?
7:51 PM
How many minutes are there between 5:14 AM and 8:19 AM?
185
How many minutes are there between 7:41 PM and 10:56 PM?
195
What is 517 minutes after 5:14 PM?
1:51 AM
What is 173 minutes before 4:33 AM?
1:40 AM
What is 110 minutes after 7:34 PM?
9:24 PM
How many minutes are there between 6:21 PM and 7:28 PM?
67
How many minutes are there between 8:45 AM and 9:26 AM?
41
What is 354 minutes before 2:58 AM?
9:04 PM
What is 493 minutes after 1:19 AM?
9:32 AM
How many minutes are there between 3:53 PM and 9:15 PM?
322
How many minutes are there between 6:58 AM and 7:47 AM?
49
How many minutes are there between 6:06 AM and 11:19 AM?
313
What is 223 minutes before 11:15 PM?
7:32 PM
What is 388 minutes after 5:24 AM?
11:52 AM
How many minutes are there between 2:25 PM and 6:25 PM?
240
How many minutes are there between 8:18 PM and 1:45 AM?
327
How many minutes are there between 10:26 AM and 3:43 PM?
317
What is 48 minutes before 11:50 PM?
11:02 PM
How many minutes are there between 10:17 PM and 12:56 AM?
159
How many minutes are there between 8:26 PM and 5:06 AM?
520
What is 152 minutes after 10:47 PM?
1:19 AM
What is 597 minutes after 11:36 PM?
9:33 AM
What is 596 minutes after 2:59 AM?
12:55 PM
What is 27 minutes before 9:36 PM?
9:09 PM
What is 302 minutes before 7:54 PM?
2:52 PM
How many minutes are there between 10:24 PM and 6:34 AM?
490
What is 170 minutes after 11:03 PM?
1:53 AM
What is 374 minutes before 10:03 AM?
3:49 AM
How many minutes are there between 5:10 AM and 12:22 PM?
432
What is 657 minutes before 1:42 PM?
2:45 AM
How many minutes are there between 7:06 AM and 11:02 AM?
236
How many minutes are there | {
"pile_set_name": "DM Mathematics"
} |
or z.
7
Solve 2*k + 5*v = 13, -15*v - 25 = -3*k - 17*v for k.
9
Solve -2*k - 2*c = 4, -5*k = 4*c - 141 + 151 for k.
-2
Solve 3*t + r + 17 = 0, 179*t - 180*t = 2*r + 4 for t.
-6
Solve 204*k - 209*k + 20 = 5*c, 4*c + 5*k - 21 = 0 for c.
-1
Solve -p = 5*y + 53163 - 53084, -2*y + p - 33 = 0 for y.
-16
Solve -5*h = -2*q + 17, -4*q + 297*h - 298*h - 21 = 0 for q.
-4
Solve 10*q = q + 3*j + 15, 25 = -2*q - 5*j for q.
0
Solve 5*c + 157*i - 159*i = -20, -c - 2*i + 8 = 0 for c.
-2
Solve -2*n + 66 - 41 = 3*m, 30 = -2*n + 2*m for n.
-4
Solve -26*f - 24*f - 10 = -45*f - 3*s, 5*f + 4*s - 25 = 0 for f.
1
Solve 2*h + 2 = 5*c, -2*c - 28*h = -29*h for c.
2
Solve 0 = -4*n - 20*a - 61 - 43, -4*n = 2*a + 68 for n.
-16
Solve s - 5*f = 15, -5*s + 13*f - 14*f = -23 for s.
5
Solve 5*c - 5*o = -55, -2*c - 1320 + 1293 = -3*o for c.
-6
Solve 5*d = 20, -12 = -0*j - j - 3*d for j.
0
Solve 4*l + 16 = -4*z, -38*z = -35*z - 3*l + 42 for z.
-9
Solve -16 = 4*l, -8*z + z - 67 = -4*l - 76 for z.
-1
Solve -102*s = -2*z - 109*s + 32, 0 = -z - 3*s + 14 for z.
2
Solve i - 2*p + 8 = 0, -37*p = 3*i - 49*p + 60 for i.
4
Solve 3*z + o = -11, 19*o - 8 = 17*o for z.
-5
Solve 13*i - 2*z = 15*i, -i + 10 = -4*z for i.
2
Solve -2*s - 5*r - 11 = 0, 86*s + 3*r = 91*s - 50 for s.
7
Solve 63*k - 59*k = -5*g - 18, -4*g = -4*k for g.
-2
Solve 3*f = -5*x + 10, -2*f - 9414*x + 9 = -9413*x for f.
5
Solve -45 = -5*w + 115*x - 113*x, -7*x - 105 = 0 for w.
3
Solve -2*v = -3*t - 4, -5*v - 2*t + 59 - 30 = 0 for v.
5
Solve 0*d + d = 5*m - 32, 7*m - 3*m - 28 = 0 for d.
3
Solve -80*f - 2 = -78*f - 5*y, -2*f = 2*y - 12 for f.
4
Solve -5*d = q + 10, -111890*d - 18 = -111887*d + 3*q for d.
-1
Solve 2*x = y - 5, 0 = -5*x - 3*y - 28 - 1 for x.
-4
Solve -53 = -3*z + 5*i, 15*z - 6526*i - 145 = -6531*i for z.
11
Solve 0 = -4*x - 2*m + 66113 - 66103, -4*x = 3*m - 15 for x.
0
Solve 3*t + 3*i = -15, -5*t - 78*i - 17 = -77*i for t.
-3
Solve 0 = -3*b + 4*i + 6, -2097*b + 10 = -2096*b - 4*i for b.
-2
Solve -415*p - 3*a + 6 = -410*p, 2*p - 5*a = -10 for p.
0
Solve -68*m = -71*m + 5*l - 19, 150*l + 25 = -5*m + 155*l for m.
-3
Solve -4*d - 4*p + 16 = 0, 619*d - 618*d + 2 = p for d.
1
Solve 3*l + 12 = 3*m, -197*l + 193*l + 5*m = 14 for l.
-6
Solve 0 = 4*c + 4*j + 193 - 241, -4*j + 12 = 0 for c.
9
Solve h + 25 = -4*r, 3*h = 13*r + 131 - 31 for r.
-7
Solve 4*y = -9*m - 40, 87553*m - 5*y - 1 = 87552*m for m.
-4
Solve -m - 2*h - 6 = 24, 0 = -m + 5*h + 82 for m.
2
Solve -4*u + 54 = -3*x - 31*u, 5*x = -0*u - 3*u - 6 for x.
0
Solve 4*s - 753*b = -752*b + 23, -2*s + 13 = -b for s.
5
Solve -866*g + 865*g - 1 = 2*w, 3*g + 5 = -5*w for g.
-5
Solve 766*z = 762*z + c + 17, 5 = -5*c for z.
4
Solve z + m + 308 - 316 = 0, 3*z - 5*m = 0 for z.
5
Solve -5*n = 10*t - 50, 4*t - 18 = 558*n - 561*n for t.
6
Solve 2*h - 914*v - 79 = -909*v, 5*h - 39*v = 330 for h.
27
Solve 2*j + j - 4*j + 5*u = 4, 0 = -54*u + 54 for j.
1
Solve 3*v - 10*k - 40 = -5*k, -2*v - 13*k = 55 for v.
5
Solve -2*q - 14 = 6*y, -337*y = 2*q - 338*y + 14 for q.
-7
Solve -s - 84*u = -85*u + 10, -u = -3*s - 20 for s.
-5
Solve 35721*u = 35725*u - 5*z + 2, 3*z - 16 = 2*u - 7*u for u.
2
Solve -35*f - 6*p - 36 = -38*f, -2*p = -5*f + 60 for f.
12
Solve 5 = -r + 453*f - 451*f, 0 = 4*r + 5*f - 19 for r.
1
Solve 43*l = 5*r + 38*l - 30, 0 = -3*r + 2*l + 13 for r.
1
Solve -17*b + 238 = 0, y - 22 = 4*b - 82 for y.
-4
Solve 2*x + 49 = -5*o, -1320*x - 2*o - 43 = -1327*x for x.
3
Solve 79*s - 74*s - i + 7 = 0, 3*i + 1 = 4*s for s.
-2
Solve -15 = 3*z, -3*m - 3*z - 35 = -8 for m.
-4
Solve -5*i - 4*k = -5, 6*i - 10*i + 4*k + 4 = 0 for i.
1
Solve -220*i - 18 = -219*i - 5*r, -2*i - 3*r + 29 = 0 for i.
7
Solve -32 = -3*w + 4*i, 87*i - 82*i = 5*w - 45 for w.
4
Solve 4*x - 4*u - 80 = 0, 146 - 180 = -2*x - u for x.
18
Solve -3*j = -i + 7 + 15, -18*i + 11*i = j - 66 for j.
-4
Solve 3*u = -d + 8*u - 7, 0 = -8*d + 4*u - 20 for d.
-2
Solve -8 = -4*x, -4*x - 202 = 6*d - 246 for d.
6
Solve 4*h - 1458*d + 16 = -1461*d, -d = -2*h - 8 for h.
-4
Solve -7*v = n - 36, 256*n - 261*n = -2*v + 5 for n.
1
Solve 4*y + 9*m + 26 = 0, -2*y - 2*m - 4 - 4 = 0 for y.
-2
Solve 0 = 5*y - 3*w - 34, -52*y = -51*y + 2*w + 1 for y.
5
Solve 5*c - 112 = 8*v, 538*v + 2*c = 534*v + 16 for v.
-4
Solve 12 = -3*m - p, -1126*m - p = -1131*m - 28 for m.
-5
Solve y + 2053 = 5*v + 2027, -3*y = 4*v - 17 for v.
5
Solve t = 1, 0 = 99*y - 98*y + 3*t - 1 for y.
-2
Solve 5*f + 10 = -5*v, -2*f = -3*v - 14 + 18 for f.
-2
Solve -4*y + 11 = 31, -4*m + 5*y = -12 - 25 for m.
3
Solve -y + 19 = 3*l, y = -2336*l + 2332*l + 25 for y.
1
Solve -2*w + 3*r + 48 = 0, 836 - 900 = 2*w + 5*r for w.
3
Solve -4*a + 12 = 4*s, s - 18 = -856*a + 860*a for a.
-3
Solve -k - 10 = 5*u, -60*u - 9 = -62*u - 3*k for u.
-3
Solve -4*n + 8*n = -3*m - 10, 2*n - 16 = 2*m for m.
-6
Solve 2*u = -27*n + 270, 4*u - 15*n + 13*n + 20 = 0 for u.
0
Solve -702*m - 20 = -3*x - 697*m, -x - 4*m - 16 = 0 for x.
0
Solve 0 = -2*b + 20, -4*w = 34*b - 33*b - 18 for w.
2
Solve 4*b - 3*q + 471 - 472 = 0, -11 = -4*b + q for b.
4
Solve 0 = -3*k - 5*p + 22, 4*p - 18 = 3*k - 22 for k.
4
Solve -3*s = 3*g + 72 - 42, 3*s - 3*g = 30 for s.
0
Solve 0 = z + 2*d + 17, -4*z - 3*d + 310 = 333 for z.
1
Solve 0 = -3*b - 2*h + 5, 2*h = -5*h + 28 for b.
-1
Solve 2 = -2*a - 2*v, -667*a - 3*v = -695*a + 34 for a.
1
Solve -g + 24 = 5*r, 8 = -3*g + 5 for r.
5
Solve 9772*s - 9775*s + c = 8, -4*s + 3*c + 1 = 0 for s.
-5
Solve -37 = 3*p - 2*k, 2*k + 15 = 5*k for p.
-9
Solve -2*z - 7 = 3*h, 0 = -4*z + z + h + 6 for z.
1
Solve -3*j + 3*o = -15, 2*j + 57*o = 58*o + 9 for j.
4
Solve 2*m + 6 = -2*k, -8642*m - 12 = -8638*m - 4*k for m.
-3
Solve 0 = 4*c - 4*b + 15 - 11, 2*c = 5*b - 2 for c.
-1
Solve -o + 3*k - 11 = 0, 4*o + 102*k - 103*k - 11 = 0 for o.
4
Solve -8*k = -3*j + 40, -2 - 3 = k - 4*j for k.
-5
Solve 367 - 345 = -c + 2*x, 5*x = -c + 69 for c.
4
Solve 2*t = 3*q + 33, 25*t = -4*q + 20*t + 25 for q.
-5
Solve 2*i = 2*l - 20, 0 = -i - 10488 + 10492 for l.
14
Solve -2*u + 31 = -3*l, -4*u + 20364 = 5*l + 20401 for l.
-9
Solve 4 = -4*s - 4*b, 25*b = 5*s + 26*b + 5 for s.
-1
Solve -3*a = -3*j + 21, 0 = -3*a - 2*j + 2541 - 2577 for a.
-10
Solve 0 = -5*i + 4*c - 43, -7 = 4*i - c + 12 for i.
-3
Solve 3*r + 4*d = -d + 18, 4*r + 3*d = 24 for r.
6
Solve 16*v = -5*a + 19, 5*a + 192*v = 194*v - 53 for a.
-9
Solve 9 = 3*i - 3*r, -84*i + 3 = -83*i + 4*r for i.
3
Solve 0 = -9*o + 2*a - 52, -7*a + 8*a = -4*o - 25 for o.
-6
Solve 2*r = -5*c + 42 - 40, -3*r = 4*c - 3 for c.
0
Solve -d - 29*u + 32*u + 9 = 0, 5*d - 8*u - 10 = 0 for d.
-6
Solve b - 5*i = -13, 150 = -9*b + 2*i + 162 for b.
2
Solve -3*p = 2*k - 6, -18783*p + 25 = -18773*p + 5*k for p.
4
Solve 2*c - 27 = -5*o, -181*o + 69 = 12*c - 182*o for c.
6
Solve -4*g + 12 = 42*k - 45*k, 5*g = k + 26 for k.
4
Solve -22*u + 21*u = -c + 4, 3*c + 5*u - 12 = 0 for c.
4
Solve -3*k - 382*w + 380*w = 12, -4*k + 5*w = 16 for k.
-4
Solve 0 = -t - 3*p + 89 - 85, 3*t - 12 = -5*p for t.
4
Solve 0 = -5*b + 55, -2*b + 34 = 171*p - 174*p for p.
-4
Solve 147*a - 148*a = -3*s + 20, -14 = a - 2*s for a.
-2
Solve 6*w - 3*o = -60, 7*w + 5*o = 22 + 95 for w.
1
Solve 3*v = -7*g + 27, 712*v - 3*g = 717*v - 19 for v.
2
Solve -6*s - 4 = -5*j, -860*s - 24 = -859*s + 5*j for s.
-4
Solve 4*r - 955*c - 12 = -951*c, 2*r + 19 = -3*c for r.
-2
Solve 127 - 99 = -7*y - 3*f, -2*f - 4 = y for y.
-4
Solve 2*g + 3*s = 0, -4 = 63*g - 61*g + s for g.
-3
Solve 35*f - 2*h + 14 = 31*f, -2*f + 3*h = 13 for f.
-2
Solve -3*l - 5 = 2*w, 415*l + 24*w + 101 = 420*l for l.
1
Solve -5*j - 21 + 66 = 2*y, 27 = 3*j for y.
0
Solve 0 = 4*p - t + 14, -p = -3*t - 1779 + 1788 for p.
-3
Solve -514*r + 12 = -516*r + 5*c, 5*r = 5*c for r.
4
Solve 4*i = -3*w + 12, 167*i - 164*i - 9 = 2*w for i.
3
Solve -2*d = -5*y + 13, -26*d + 27*d - 1 = 0 for y.
3
Solve -5*c + 19 = 274*v - 275*v, -4*v + 12*c - 10*c = 22 for v.
-4
Solve -5*m = 5*a, 5*a = -4*m + 5343 - 5341 for a.
2
Solve -281*v + 282*v = -5*y - 17, 3*v - 21 = 3*y for y.
-4
Solve -3*p = -4*x - 5234 + 5230, 5*p = 0 for x.
-1
Solve -4*z - 5*h + 6*h = 0, 4*h = -z for z.
0
Solve 657*o - 656*o - 80 = 5*g, 12*o - 8*o = 5*g + 65 for g.
-17
Solve -2154*t + 10 = -b - 2149*t, 5*b + 7 - 5 = t for b.
0
Solve 3*s = -3*y - 3, -5042 = -3*y - 2*s - 5040 for y.
4
Solve 0 = 2*j + 34591*l - 34593*l - 6, 3*l + 6 = 2*j for j | {
"pile_set_name": "DM Mathematics"
} |
) = -16*t**2 + 91*t + 31. Let u(o) = o**2. Determine r(u(l)).
-16*l**4 + 91*l**2 + 31
Let t = -355 + 357. Let d(m) be the third derivative of 0*m + 0*m**3 + 0 + m**t - 19/24*m**4. Let w(c) = -2*c**2. Give w(d(k)).
-722*k**2
Let g(s) = 20*s**2 - 1 + 1 - 19*s**2 + 0. Let c(j) = 2*j**2 - 2*j**2 + 4*j**2. What is g(c(l))?
16*l**4
Let t be 26/143 - (-40)/22. Let b(m) = 2*m**t + m**2 - m**2. Let h(q) = 3*q. Let a(k) = k. Let o(r) = 5*a(r) - 2*h(r). Determine o(b(x)).
-2*x**2
Let u(m) = -m**2 - 17*m. Let z(w) = -3*w**2 - w + 1. Let g(n) = -4*n**2 - 2*n + 2. Let k(h) = g(h) - 2*z(h). Determine u(k(f)).
-4*f**4 - 34*f**2
Let h(o) = -18*o**2 - 2*o. Let w(b) = 1368*b**2. What is h(w(g))?
-33685632*g**4 - 2736*g**2
Let d(v) = -12*v**2 - 8*v**2 + 31*v**2 - 8*v**2 - 5*v**2. Let w(o) = -51*o**2. Determine w(d(y)).
-204*y**4
Let b be (38/3 + 3)*(1 - -2). Let k(g) = -7*g**2 - b + 23 + 24. Let s(l) = 4*l. Calculate s(k(y)).
-28*y**2
Let u(n) be the second derivative of 9*n + 0*n**2 + 0 + 25/6*n**3. Let g(h) = -h**2. Calculate u(g(f)).
-25*f**2
Let b = -47 - -49. Let k(c) = 0*c - 3*c + 0*c + b*c. Let d(r) = -3*r. Calculate d(k(g)).
3*g
Let q(t) = 9*t**2. Suppose 0 = -w + 2 + 1. Let a(v) = v**2 - 11*v + 12. Let p be a(10). Let r(j) = -4*j**2 + 3 + 3*j**p - w. Calculate r(q(l)).
-81*l**4
Let w(p) = -3*p + 4*p - 4*p. Let q(a) be the third derivative of -a**6/90 - 5*a**3/6 - 13*a**2. Let n(o) be the first derivative of q(o). Determine n(w(i)).
-36*i**2
Let s(y) = 18*y - 5. Let h(l) = -28*l + 8. Let m(t) = 5*h(t) + 8*s(t). Let w(v) = 12*v. What is m(w(z))?
48*z
Let w(n) = 11*n. Let u(b) = -b**3 + 2*b**2 + 24*b - 3. Let t be u(6). Let a(k) = k**2 + 1. Let c(j) = -1. Let x(h) = t*c(h) - 3*a(h). Give w(x(q)).
-33*q**2
Let v(r) be the third derivative of 0*r**3 + 0*r + 0*r**4 + 6*r**2 + 0 - 1/60*r**5. Let w(l) = 2 + 2*l**2 - 2. What is v(w(x))?
-4*x**4
Let i(v) = -18*v - 4. Let h(j) = -15*j**2 - 28. Let d(k) = -13*k**2 - 24. Let w(s) = -7*d(s) + 6*h(s). What is i(w(q))?
-18*q**2 - 4
Let r(o) = 7373*o**2. Let n(d) = -3*d**2. What is n(r(l))?
-163083387*l**4
Let z(q) = 2*q**2. Let a(s) be the second derivative of -s**6/120 - 5*s**4/12 - 4*s. Let t(o) be the third derivative of a(o). Give z(t(m)).
72*m**2
Let i(t) = 9*t. Let s(w) be the second derivative of -w**4/4 - 3*w. What is i(s(c))?
-27*c**2
Let n(q) = -q - 6. Let t(i) = i**2 + i + 6. Let f(k) = n(k) + t(k). Let v(c) be the third derivative of -c**4/24 + 2*c**2. Determine v(f(h)).
-h**2
Let n(q) = 2*q. Let i(y) = -10*y + 3. Let a(x) = 9*x - 7. Let r(d) = 7*a(d) + 6*i(d). Calculate n(r(f)).
6*f - 62
Let w(v) = 4*v**2. Suppose -5*t = -183 - 497. Let u(i) = -3*i + 3*i - t*i**2 + 133*i**2. What is w(u(a))?
36*a**4
Let q(f) = 22*f - 22*f - 14*f**2 - 2*f**2. Let i(s) = -3*s. Calculate q(i(l)).
-144*l**2
Let o(a) = -1712*a**2. Let z(r) = 81*r**2. What is z(o(x))?
237406464*x**4
Let t(c) = -58008*c**2. Let s(m) = -m**2. What is t(s(q))?
-58008*q**4
Let x(c) = -188*c**2. Let g(p) = -96*p + 2 - 2 + 98*p. Calculate g(x(w)).
-376*w**2
Let y(g) = -g. Let x(h) be the third derivative of 0*h**3 - 38*h**2 - 7/24*h**4 + 0 + 0*h. Calculate y(x(a)).
7*a
Let a(h) = 5*h. Let v(z) = -86*z + 0 + 90*z + 0. Let k(f) = -f. Let s(p) = 6*k(p) + 2*v(p). Calculate s(a(u)).
10*u
Let r(t) be the first derivative of -t**4/6 + 2*t - 4. Let z(n) be the first derivative of r(n). Let v(d) = 13*d**2. Give z(v(a)).
-338*a**4
Let v(c) = 28*c**2. Let b(l) be the third derivative of -l**5/60 + 813*l**2. Calculate v(b(o)).
28*o**4
Let r(b) = -b. Let n(i) be the second derivative of 5*i**4/12 + 3*i**3 + 29*i - 4. Give r(n(o)).
-5*o**2 - 18*o
Let w(d) = 64*d. Let h(s) = 4*s + 20. Let g(p) = 4*p + 24. Let q(x) = 5*g(x) - 6*h(x). Calculate w(q(j)).
-256*j
Let a(f) = -2*f**2. Let p(c) = -86*c - 239*c + 12*c - 105*c. Let z(w) = 11*w. Let s(y) = 6*p(y) + 231*z(y). Give a(s(x)).
-2178*x**2
Let h(p) be the third derivative of 0*p**4 + 9*p**2 + 0*p + 0*p**3 + 0 - 17/60*p**5. Let t(u) = -u**2. Determine t(h(l)).
-289*l**4
Let y(n) = 6*n**2. Let p(o) = -2448*o. What is y(p(u))?
35956224*u**2
Let y(n) = -3*n. Let u(r) be the third derivative of r**5/60 + 5*r**3/2 - 96*r**2. Give y(u(f)).
-3*f**2 - 45
Let n(o) = -o + 9. Let k(j) = 25*j. Determine n(k(c)).
-25*c + 9
Let x(u) be the second derivative of -13*u**5/20 - 33*u**2/2 - 16*u. Let t(z) be the first derivative of x(z). Let v(k) = -2*k**2. Calculate v(t(i)).
-3042*i**4
Let r(i) = -2*i**2 + i + 1. Let u(m) = -63*m**2 + 27*m + 27. Let h(v) = 27*r(v) - u(v). Let f(y) = 21*y. Give h(f(x)).
3969*x**2
Let y(r) be the third derivative of 7*r**4/4 - 545*r**2. Let h(d) = -31*d. What is y(h(n))?
-1302*n
Let v be 12/6 + (-4)/2. Let r(l) = -1 + 2*l + 1 + v. Let c(a) = 5*a**2 - 3*a**2 + a**2. Determine r(c(u)).
6*u**2
Let c = 760 + -760. Let b(u) be the third derivative of 1/12*u**5 + c*u**4 + 0 + 0*u - 3*u**2 + 0*u**3. Let v(p) = 4*p**2. Give v(b(d)).
100*d**4
Let l(q) = 61*q. Let m(u) = -2423*u**2. What is m(l(b))?
-9015983*b**2
Let j(c) = -8872*c. Let u(l) = 34*l**2 - 2. Give j(u(h)).
-301648*h**2 + 17744
Let m(o) = 39*o + 1. Let i(k) be the second derivative of 5*k**4/12 + 279*k. What is i(m(v))?
7605*v**2 + 390*v + 5
Suppose 3*i + 3*p = 12, 0 = 4*i - 7*i - p + 8. Let f(b) = 3 - 62*b**i + 57*b**2 - 3. Let y(m) = -m. What is y(f(z))?
5*z**2
Let n(g) = 5*g**2 - 6*g + 12. Let f(d) = -11*d**2 + 13*d - 26. Let w(k) = -6*f(k) - 13*n(k). Let s(y) = -y - 3*y - y. What is w(s(z))?
25*z**2
Let c(y) = 2*y**2 + 3*y - 3. Let a(w) = w - 1. Let u(g) = 3*a(g) - c(g). Let p be 1 + (1 + -3 - -1). Let h(j) = -3 - 5*j**2 + 3 + p*j**2. Calculate u(h(l)).
-50*l**4
Let j(q) = 2823409*q**2. Let m(x) = -x. What is j(m(o))?
2823409*o**2
Suppose -32*v = -36*v + 96. Let b(g) = -32*g + 24 - v. Let w(i) = i. What is b(w(u))?
-32*u
Let s = -47 - -49. Let w(x) = -4*x**s + 3*x**2 + 6*x**2 - 3*x**2. Let i(g) = 7*g**2. Calculate w(i(f)).
98*f**4
Let k(s) = -7983*s. Let o(g) = 2*g. What is k(o(l))?
-15966*l
Let n(u) = -11*u. Let a(o) = -5224*o. Give a(n(y)).
57464*y
Let o(s) = 477*s. Let a(t) = t**2 + 4017*t + 2. Calculate o(a(c)).
477*c**2 + 1916109*c + 954
Let b(o) = -o - 2. Let t(j) = -9*j + 2. Give b(t(u)).
9*u - 4
Let x(u) = u**2. Let w(s) = 47 - 129 + 39 - 4*s + 44. What is x(w(n))?
16*n**2 - 8*n + 1
Let n(t) = 8*t - 2*t - 3*t. Let a(p) = -23*p. Give a(n(i)).
-69*i
Let w(x) = 2*x**2 + 94*x. Let n(c) = 1956*c**2. What is w(n(u))?
7651872*u**4 + 183864*u**2
Let g(j) = 0*j**2 + 0*j**2 - 3*j**2. Let z(s) = s - 2. Let a(c) = 6*c - 11. Let k(p) = 6*a(p) - 33*z(p). What is k(g(f))?
-9*f**2
Let x(b) = -8*b**2 + 11782*b. Let d(o) = 13*o. Determine d(x(l)).
-104*l**2 + 153166*l
Let i = -35 + 39. Let d(p) = -3*p + 6*p - i*p - 2*p. Let z(c) = c. Calculate z(d(s)).
-3*s
Let s = -58 - -70. Let m(r) = -4*r + s*r - 5*r - r. Let x(j) = 6*j**2. Determine x(m(q)).
24*q**2
Let t(h) = 3*h. Let p(x) = 2*x + 959 - 20*x**2 + 966 + 961 - 2886. Determine t(p(l)).
-60*l**2 + 6*l
Suppose 0 = z - 7 + 5. Let w be z - (-1)/4*-4. Let l(y) = 5 - w + 2*y - 4. Let v(f) = -f. Give l(v(r)).
-2*r
Let i(j) = -54*j + 6. Let s(k) = 437*k. Calculate s(i(n)).
-23598*n + 2622
Let z(x) = -111137*x**2. Let l(o) = 2*o**2. Give z(l(n)).
-444548*n**4
Let d(w) = -w - 1. Let k(x) = 5*x + 4. Let n(m) = -4*d(m) - k(m). Let o(v) = 54*v**2. What is o(n(q))?
54*q**2
Let z(q) be the first derivative of 9*q**2/2 - 367. Let i(w) = 18*w. What is z(i(l))?
162*l
Let n be 12/(-18) - ((-80)/3 + 2). Let s(b) = -n*b**2 + 46*b**2 - 24*b**2. Let i(h) = -5*h. Give s(i(p)).
-50*p**2
Let w(v) = -2*v**2 - 33. Let o(l) be the third derivative of -l**5/60 + 3*l**3/2 - 15*l**2. Let s(d) be the first derivative of o(d). Determine w(s(n)).
-8*n**2 - 33
Let i(r) be the third derivative of r**5/30 + r**2 - 8*r. Suppose o - j = 2 + 2, 0 = 2*o - j - 6. Let a(t) = -4*t**2 - 2*t**o - 2*t**2. Calculate i(a(m)).
128*m**4
Let b(o) = -550*o**2. Let q(n) = 769*n**2. Determine q(b(r)).
232622500*r**4
Let x(n) be the first derivative of 36*n**2 + 23. Let d(k) = -k**2. Give x(d(v)).
-72*v**2
Let i(q) be the third derivative of q**4/12 - 51*q**2 + 1. Let c(f) = -127*f. What is c(i(b))?
-254*b
Let q(v) = 55305 - 55305 + 2*v. Let d(g) = -82*g - 3. Determine q(d(h)).
-164*h - 6
Let m(w) = -w. Let u(o) = 4*o + 5. Let s(p) = p**2 + 2*p - 10. Let a | {
"pile_set_name": "DM Mathematics"
} |
, -5332, -7357?
-62*u**2 - 1591*u - 1
What is the z'th term of -79, -327, -831, -1669, -2919, -4659, -6967?
-13*z**3 - 50*z**2 - 7*z - 9
What is the c'th term of -3185, -8414, -15691, -25016, -36389, -49810, -65279?
-1024*c**2 - 2157*c - 4
What is the s'th term of -37306, -36984, -36446, -35692, -34722, -33536?
108*s**2 - 2*s - 37412
What is the k'th term of 473, 1711, 3713, 6485, 10033, 14363?
k**3 + 376*k**2 + 103*k - 7
What is the b'th term of -1197173, -2394387, -3591601, -4788815, -5986029, -7183243?
-1197214*b + 41
What is the c'th term of 5182072, 10364146, 15546220, 20728294?
5182074*c - 2
What is the b'th term of -18020, -125721, -418054, -987335, -1925880, -3326005?
-15386*b**3 + b - 2635
What is the c'th term of -13667, -19455, -25243, -31031?
-5788*c - 7879
What is the o'th term of 6208, 6446, 6848, 7414, 8144, 9038?
82*o**2 - 8*o + 6134
What is the g'th term of -16069, -17119, -18905, -21457, -24805, -28979?
-5*g**3 - 338*g**2 - g - 15725
What is the i'th term of -31579, -30966, -30353, -29740, -29127, -28514?
613*i - 32192
What is the g'th term of 11501, 9712, 7925, 6140, 4357, 2576?
g**2 - 1792*g + 13292
What is the g'th term of -5565, -5719, -5967, -6309?
-47*g**2 - 13*g - 5505
What is the n'th term of 5113, 14899, 24685, 34471, 44257, 54043?
9786*n - 4673
What is the t'th term of -30456478, -30456479, -30456480?
-t - 30456477
What is the v'th term of -30, -265, -700, -1335, -2170?
-100*v**2 + 65*v + 5
What is the g'th term of 8488131, 16976249, 25464365, 33952479?
-g**2 + 8488121*g + 11
What is the b'th term of 54822981, 109645973, 164468965, 219291957, 274114949, 328937941?
54822992*b - 11
What is the y'th term of 10572, 11498, 12424, 13350, 14276, 15202?
926*y + 9646
What is the z'th term of 2125020, 2124827, 2124636, 2124447?
z**2 - 196*z + 2125215
What is the l'th term of 281206, 562365, 843524?
281159*l + 47
What is the j'th term of 1196, 1440, 1706, 2006, 2352?
2*j**3 - j**2 + 233*j + 962
What is the s'th term of -2080, -7967, -17652, -31135, -48416, -69495, -94372?
-1899*s**2 - 190*s + 9
What is the l'th term of 13193, 20664, 33115, 50546?
2490*l**2 + l + 10702
What is the o'th term of 1308, -217, -1742, -3267, -4792, -6317?
-1525*o + 2833
What is the k'th term of 11903, 11834, 11777, 11738, 11723, 11738?
k**3 - 76*k + 11978
What is the m'th term of 47020, 47034, 47068, 47128, 47220, 47350, 47524?
m**3 + 4*m**2 - 5*m + 47020
What is the i'th term of -1102577, -1102441, -1102305?
136*i - 1102713
What is the g'th term of 97976, 194363, 290750?
96387*g + 1589
What is the t'th term of 12540795, 25081585, 37622375?
12540790*t + 5
What is the o'th term of -2166, -17380, -58656, -139026, -271522?
-2172*o**3 + o**2 - 13*o + 18
What is the n'th term of 18542, 18534, 18522, 18506?
-2*n**2 - 2*n + 18546
What is the x'th term of 7807410, 7807415, 7807424, 7807437, 7807454, 7807475, 7807500?
2*x**2 - x + 7807409
What is the y'th term of -7100, -14328, -21638, -29030, -36504, -44060, -51698?
-41*y**2 - 7105*y + 46
What is the u'th term of 3272, 11137, 24252, 42623, 66256, 95157, 129332?
u**3 + 2619*u**2 + u + 651
What is the s'th term of -2187, -2324, -2531, -2808, -3155?
-35*s**2 - 32*s - 2120
What is the u'th term of 3768, 31962, 108526, 257646, 503508?
4031*u**3 - u**2 - 20*u - 242
What is the q'th term of 458706, 3669836, 12385762, 29358882, 57341594?
458733*q**3 - q - 26
What is the r'th term of -208471, -416935, -625409, -833899, -1042411?
-r**3 + r**2 - 208460*r - 11
What is the b'th term of -74691, -298773, -672247, -1195113, -1867371?
-74696*b**2 + 6*b - 1
What is the d'th term of 13261, 53231, 119837, 213073, 332933?
-d**3 + 13324*d**2 + 5*d - 67
What is the k'th term of 26629, 106791, 240475, 427681?
26761*k**2 - 121*k - 11
What is the h'th term of -8454, -5811, -3168, -525, 2118?
2643*h - 11097
What is the i'th term of 493, 635, 1277, 2749, 5381?
55*i**3 - 80*i**2 - 3*i + 521
What is the t'th term of -16940917, -33881864, -50822813, -67763764, -84704717?
-t**2 - 16940944*t + 28
What is the q'th term of -5057, -23629, -55713, -101309, -160417, -233037, -319169?
-6756*q**2 + 1696*q + 3
What is the m'th term of -34998699, -139994797, -314988293, -559979187, -874967479?
-34998699*m**2 - m + 1
What is the z'th term of 26018, 25695, 25156, 24401, 23430, 22243?
-108*z**2 + z + 26125
What is the o'th term of 72796, 145440, 218082, 290722, 363360?
-o**2 + 72647*o + 150
What is the b'th term of 42824, 342261, 1155012, 2737733, 5347080?
42776*b**3 + b**2 + 2*b + 45
What is the o'th term of -19521, -79378, -179139, -318804, -498373, -717846?
-19952*o**2 - o + 432
What is the v'th term of -7970328, -7970330, -7970332, -7970334?
-2*v - 7970326
What is the x'th term of 16422, 16274, 16126, 15978?
-148*x + 16570
What is the j'th term of -8154, -21671, -44198, -75735?
-4505*j**2 - 2*j - 3647
What is the n'th term of 3796, 13521, 29710, 52363, 81480, 117061?
3232*n**2 + 29*n + 535
What is the z'th term of -534145, -534160, -534185, -534220, -534265, -534320, -534385?
-5*z**2 - 534140
What is the f'th term of 56896, 113573, 170138, 226591, 282932, 339161?
-56*f**2 + 56845*f + 107
What is the h'th term of -2348, -4160, -5972, -7784, -9596?
-1812*h - 536
What is the z'th term of 560600, 1121196, 1681792?
560596*z + 4
What is the f'th term of 1419193, 2838537, 4257881, 5677225, 7096569, 8515913?
1419344*f - 151
What is the a'th term of 375503, 751006, 1126509, 1502012, 1877515?
375503*a
What is the z'th term of -23108, -21715, -19382, -16109?
470*z**2 - 17*z - 23561
What is the w'th term of 2138000, 4275980, 6413956, 8551928, 10689896, 12827860?
-2*w**2 + 2137986*w + 16
What is the s'th term of 53141, 52246, 51351?
-895*s + 54036
What is the v'th term of -16687, -67178, -151327, -269128, -420575?
v**3 - 16835*v**2 + 7*v + 140
What is the l'th term of 5517906, 11035809, 16553712, 22071615, 27589518?
5517903*l + 3
What is the i'th term of 5290635, 5290663, 5290689, 5290713, 5290735, 5290755?
-i**2 + 31*i + 5290605
What is the a'th term of 310085024, 620170052, 930255084, 1240340120, 1550425160, 1860510204, 2170595252?
2*a**2 + 310085022*a
What is the x'th term of 4266, 7574, 10884, 14196?
x**2 + 3305*x + 960
What is the o'th term of -406903, -1627648, -3662225, -6510634, -10172875?
-406916*o**2 + 3*o + 10
What is the v'th term of -48692, -198171, -447302, -796085, -1244520, -1792607, -2440346?
-49826*v**2 - v + 1135
What is the h'th term of 2298318, 4596623, 6894928, 9193233?
2298305*h + 13
What is the a'th term of -30217, -61279, -92315, -123313, -154261, -185147, -215959?
2*a**3 + a**2 - 31079*a + 859
What is the o'th term of -18181, -145540, -491235, -1164436, -2274313?
-18195*o**3 + 2*o**2 + 12
What is the d'th term of 37, 305, 1031, 2437, 4745?
37*d**3 + 7*d**2 - 12*d + 5
What is the t'th term of 21983, 21927, 21897, 21905, 21963?
2*t**3 + t**2 - 73*t + 22053
What is the c'th term of 104, -247, -828, -1633, -2656?
c**3 - 121*c**2 + 5*c + 219
What is the r'th term of 19345, 18912, 18179, 17152, 15837, 14240, 12367?
r**3 - 156*r**2 + 28*r + 19472
What is the v'th term of 78014, 313091, 704894, 1253429, 1958702, 2820719?
v**3 + 78357*v**2 - v - 343
What is the c'th term of 345997, 345984, 345971?
-13*c + 346010
What is the i'th term of 605, 798, 903, 920?
-44*i**2 + 325*i + 324
What is the i'th term of 243067, 486112, 729139, 972148, 1215139, 1458112?
-9*i**2 + 243072*i + 4
What is the r'th term of 7770, 62296, 210316, 498576, 973822, 1682800, 2672256, 3988936?
7791*r**3 + r**2 - 14*r - 8
What is the y'th term of -18988569, -37977128, -56965687, -75954246, -94942805?
-18988559*y - 10
What is the w'th term of -4491, -2383, -275, 1833?
2108*w - 6599
What is the n'th term of 4722, 8605, 12488, 16371?
3883*n + 839
What is the m'th term of 31836, 63698, 95576, 127470, 159380?
8*m**2 + 31838*m - 10
What is the d'th term of 19814, 36153, 52492, 68831, 85170?
16339*d + 3475
What is the m'th term of 63432, 126775, 190118, 253461, 316804, 380147?
63343*m + 89
What is the g'th term of -157, -919, -2849, -6529, -12541?
-97*g**3 - 2*g**2 - 77*g + 19
What is the f'th term of 368687, 737310, 1105933, 1474556?
368623*f + 64
What is the j'th term of 2055975, 4111953, 6167931, 8223909?
2055978*j - 3
What is the k'th term of -1123291, -2246587, -3369883?
-1 | {
"pile_set_name": "DM Mathematics"
} |
05) and 84.
420
Let b be 2 + 0 + 2 + -1. Suppose -2*r + 13 = b*c, -10 = -4*c - 2*r + 6. What is the smallest common multiple of c and ((-24)/(-72))/(1/18)?
6
Let m = -134543/18 - -7479. Find the common denominator of (-99)/110*(-9)/2 and m.
180
Let s be (-27936)/(-378) + (-6)/(-14). Let t = 1549/21 - s. Let v = -229/77 + t. Calculate the common denominator of v and -28/5.
55
Let b(l) = 2*l - 12. Let n be b(6). Suppose n = -5*i + 5*h + 2980, 1725 = 5*i + 4*h - 1246. Calculate the smallest common multiple of i/55 + (-4)/(-22) and 9.
99
What is the common denominator of -49/11 and ((-13 - -9) + -1)/((-39)/7)?
429
Suppose k + 2*h = 3*k + 20, 20 = 5*h. Let s be 2*(-5)/((-15)/k). Find the common denominator of -95/18 and 0 - (s - (-220)/24).
18
Let u = 8 - 101/7. Suppose 52*g = -5*q + 53*g - 179, g + 136 = -4*q. Find the common denominator of q and u.
7
Let v = 19 + -12. Let z = 88007/12 - 7328. Find the common denominator of 22/(17/v + -3) and z.
12
Let k be (-1)/(2/(-4))*-1. Let z be 0*1/k*-1. Suppose -u - 2*a + 7 = z, -u + 2*u + 4*a = 3. What is the least common multiple of u and 7?
77
Suppose 9*t = 35*t - 338. What is the least common multiple of 10/(2*(-1)/(-2)) and t?
130
Let v(p) = p**3 + 4*p**2 - 7*p - 4. Let u be v(-5). Suppose -4*g = -0*z - z - 14, 2*g = u. Find the common denominator of 39/10 and 1/z - (-36)/30.
10
Let r = 906 + -825. Calculate the least common multiple of r and 24.
648
Let t = 11238 - 404429/36. Find the common denominator of (-7)/(-112)*(-3 + 96*1) and t.
144
Let l = 1/1723 - 87875/3446. What is the common denominator of -95/236 and l?
236
Let w be 28 - 0 - (5 - (4 + 0)). Suppose -3*m + w = 5*h - 14, h = -m + 7. What is the smallest common multiple of h and 50?
50
Let n = 3895661/477 + -8167. Let i = 14618/2385 + n. Calculate the common denominator of i and 29/21.
105
Suppose a + 4 = 5*a. Suppose -3*l + 4 = 2*k, 0 = -5*k - l + 4*l + 52. Calculate the smallest common multiple of a and k.
8
What is the smallest common multiple of 55 and -48 + 47 - (-3)/((-3)/(-16))?
165
Let w = -9 + 13. Suppose -8*u + 4*u + w = 0. Suppose -20 = 4*b, 3*k + 5*b = -0*k - u. What is the smallest common multiple of 5 and k?
40
Let f be 351/18*(-8)/3. Let l be (-4)/(-6)*6*-1. Find the common denominator of f/(-14) + 6 + l and -87/2.
14
Let f = 89542/115 + -21396469/26680. Let w = f + 492/29. Calculate the common denominator of w and -121/24.
24
Let f = -4 + 12. What is the lowest common multiple of (72/96)/((-22)/24 + 1) and f?
72
Let j = -178265/14 - -12728. Find the common denominator of j and (-646)/140 + (36/(-15))/4.
14
Let s(f) = -5*f**2 - f - 8. Let g be s(-3). Let y = 53 - 29. What is the common denominator of 5/55*g + 3 and y?
11
Let d = 20651/30 - 694. Let w = -1/2714 + 50217/21712. Find the common denominator of d and w.
240
Let g = 50 - 19. Suppose -a + 3*a + 2 = 0, -3*r = -a - g. Calculate the lowest common multiple of r and 3.
30
Let s = 32 + -21. Calculate the smallest common multiple of s and -7*(-126)/(-196)*4/(-6).
33
Find the common denominator of (-1)/14*7650/135 and 31/30.
210
Let l be 22/99 - 832618/(-360). Let j = l - 2314. Find the common denominator of 67/56 and j.
280
Let a = 4 - 14. Let z = 28 - 16. Calculate the smallest common multiple of (-88)/a + (12/10 - 2) and z.
24
Let s(x) = -2*x**2 + 8. Let z(k) = 2*k**2 + k - 8. Let d(u) = -4*s(u) - 3*z(u). What is the smallest common multiple of 22 and d(4)?
132
Find the common denominator of -97/1796 and (2 - 64/30)*(-1071)/56.
8980
What is the common denominator of 121/6 and (-3)/(-2) - 411*4/1008?
84
Let a = 2/62111 + 1055527/11179980. What is the common denominator of a and -73/135?
540
Suppose -12 = -3*o + o. Let a be (-6)/(-198)*6 + 1626/11. Suppose 22*w = 50 + a. What is the lowest common multiple of o and w?
18
What is the least common multiple of 33/(49/(-14) - -4) and 6?
66
Let v be 14/(-105) + 10915/80175. Let p = 144508755 + -1699278398766/11759. Let h = p + v. What is the common denominator of -73/6 and h?
66
What is the common denominator of (2/(-100)*6)/((-240)/2960) and -91/40?
200
Let m = -3551/30 + 685/6. Find the common denominator of m and ((-219)/90 - 2/5) + 4.
30
Let d = -41/2 + 59. Let h = -305/6 + 409/6. What is the common denominator of h and d?
6
Let n = -12207/280 + 589/14. Calculate the common denominator of n and -19/24.
120
Let b(i) = 3 - i**2 + i**3 + 0*i + 0*i**2 - 7 - i. Calculate the smallest common multiple of b(3) and ((-2 - (-6)/4) + 1)*18.
99
What is the common denominator of (-2)/8 - (-4850)/6600 and 61/123?
1353
Suppose 5*o - 116 = 2*w - 3*w, -o = -4*w - 40. Suppose 0 = -3*x + 2*x + 16. What is the lowest common multiple of o and x?
48
Let p = 21 - 24. Calculate the least common multiple of 4 + p + (-10)/(-2) and 4.
12
Let m(z) = z**3 + 18*z**2 + 14*z - 27. Let l be m(-17). Suppose 3*u = 6 - 54. Let f = u + l. What is the least common multiple of f and 2?
8
Let b = -214 + 400. What is the lowest common multiple of b and 6?
186
Suppose 2*b + 2 = 2*a, 0 = 3*a - 2*a - 3. Let c = 9 + -4. Suppose 0 = -t - 4*t + 3*q + 27, c*q - 29 = -4*t. What is the least common multiple of t and b?
6
Calculate the common denominator of -95/4 and (2235/18)/(-5) + 2.
12
Let a be 3 + 549/(-154) + 1. Let l = a + -1/14. Find the common denominator of l and -25/11.
11
Let c be 8/(-52) + 606/3094. Let g = c - 683/10591. Let k = -8997/356 - g. What is the common denominator of k and -53/30?
60
Let f = -5297/63 - -594/7. Find the common denominator of f and (151/(-6) - 1) + 6.
18
Let s = -4/207 - -15947/414. Find the common denominator of 13/8 and s.
8
Let u = -1691 - -1700. What is the smallest common multiple of u and 1125?
1125
Let k(i) = -4*i - 5. Let u(r) = 4*r + 10 + 7*r + 12 - 6. Let p(z) = 8*k(z) + 3*u(z). Calculate the lowest common multiple of p(-7) and 6.
6
Find the common denominator of 47/16 and (-3550)/(-80)*((-3)/60)/1.
32
Suppose 17*u + 144 = u. What is the common denominator of ((-126)/(-12))/(2 + u/(-4)) and 29/5?
85
Suppose 2*l - 5*t + 3*t = 0, 3*l = 5*t + 6. Calculate the common denominator of l/6*(-413)/(-49) and -123/10.
70
Suppose -2*y - 5*c + 37 = -43, 4*y - 3*c - 186 = 0. Suppose -5*t + 0*l + l = -y, 2*t - 31 = 3*l. What is the lowest common multiple of 9 and t?
72
Let k(m) = 20*m**2 - 26*m + 130. What is the lowest common multiple of k(6) and 6?
2082
Let v = -231 + 251. What is the lowest common multiple of 10 and v?
20
Let z(h) = -3*h + 11. Let x be z(5). What is the common denominator of 85/18 and x/(-14) - 12/16?
252
Let q = 7327462/187 - 39184. What is the common denominator of -7/136 and q?
1496
Let j = 25 + 11. Suppose 4*w = -5*l + 72, 2*l + 4*w - j = -0*w. Calculate the smallest common multiple of 14 and l.
84
Let v = -19971775/1603 - -12459. Let q = v - 123439/6412. Find the common denominator of q and (6/5)/((-9)/10).
12
Suppose -29 = 3*f + q, 2*f - 3*q + 2*q = -11. Let l be 876/21 - f/28. What is the common denominator of 56/5 and 4/2 + l/(-10)?
5
Let b = -22 - -143/7. Find the common denominator of 49/396 and b.
2772
Let y(x) = -x**2 + 7*x - 6. Let w be y(2). What is the lowest common multiple of 30 and (0 - -1) + 15/(12/w)?
30
What is the least common multiple of 6 and (8/(-20))/(6/(-180)*2)?
6
Let j = -8569/216 - -1214/27. Let r = -5789/24 + 1481/6. Find the common denominator of j and r.
24
Let b = 5003/231 + -134/7. Suppose 5*t = 3*x + 5, t + x - 1 = 4*x. Let s(n) = -9*n**2. What is the common denominator of b and s(t)?
33
Suppose 21 = -5*y + 6. Calculate the common denominator of 627/270 + 1 + (-65)/25 and y/((-48)/142) + -2.
72
Let f be (-2)/8 + (-30)/8 + 7. Find the common denominator of f/(-18) + (-470)/(-48) and 71/32.
32
Let d = 142 - 137. Calculate the smallest common multiple of d and 36.
180
Calculate the smallest common multiple of (-110)/(-25) + -4 - (-26)/10 and 8.
24
Let j(i) = -18*i - 133. Calculate the lowest common multiple of j(-8) and 8.
88
Let u = 2695 - 2605. Calculate the least common multiple of u and 90.
90
Let g(s) = -s**3 + 17*s**2 + s - 1. Let o be g(17). What is the common denominator of 9/(28/(3 - 1)) and ((-6)/o)/((-3)/(-57))?
56
Calculate the lowest common multiple of -2 - (-13 + 0) - -1 and 60.
60
Let t = -13929 + 250837/18. Let g = -60620197519/4274078766 - -224534/220609. Let s = g - 4/ | {
"pile_set_name": "DM Mathematics"
} |
.476.
747770138.482
What is the difference between -143 and 8522.20673?
8665.20673
2765.802013+-65775
-63009.197987
What is -197920.48 - -0.2497?
-197920.2303
-4.3523+10744.18003
10739.82773
-0.3+-328151525652
-328151525652.3
Sum -1010173 and -130.74548.
-1010303.74548
Put together -5468871.1181 and 2.
-5468869.1181
What is 1120701.473 + -436741?
683960.473
Add together -354279395 and 2210.967.
-354277184.033
Calculate -270.02373 + 1.392671.
-268.631059
Add 26 and 802690766945.
802690766971
20.45759155 + -11
9.45759155
Add -26826976676 and -3.
-26826976679
-7.043 - 7191538116
-7191538123.043
Add together -3547947.396 and -0.14.
-3547947.536
What is 185018.00683 less than -0.469?
-185018.47583
What is 2.26995 plus 2316289?
2316291.26995
What is the difference between 1400.581609 and -85?
1485.581609
Sum 0.01402881 and -14.43.
-14.41597119
What is 340568 plus 10325574?
10666142
Add 75378 and 188062339.
188137717
What is 5.97 + 39087064?
39087069.97
What is 37.5 less than -2643948993?
-2643949030.5
Add 9449434.7787 and 1.811.
9449436.5897
Put together -196838673.1845 and -3.
-196838676.1845
0.0604 + 23599419
23599419.0604
What is -30789074 + 13.31?
-30789060.69
Add together -115 and 1555744.18982.
1555629.18982
Add together 0.2589 and 326338959.
326338959.2589
What is the difference between 69434.26125 and 0.1?
69434.16125
Calculate 0.05025956 + 0.0533662.
0.10362576
What is -58047018.4818 - 0.06?
-58047018.5418
What is -1213242 + -51509065?
-52722307
What is -2 + -19267280189?
-19267280191
What is -30305215349 take away 8.8?
-30305215357.8
Calculate -738722118 + -32.
-738722150
Calculate 0.84282339 - 3329234.
-3329233.15717661
Put together -67 and 2256242971.3.
2256242904.3
76844584500589+-0.1
76844584500588.9
Sum -45 and 17969649755.
17969649710
0.84+521774121
521774121.84
Calculate -4 + 61100154894929.
61100154894925
0.05580221568 - 0.2043
-0.14849778432
What is -179206212483 minus -111?
-179206212372
Work out -222705464 - 14.621.
-222705478.621
Sum 33610.5028252 and 3.
33613.5028252
Calculate -3.4 + 1925085021336.
1925085021332.6
Put together -9523061657 and -0.1.
-9523061657.1
Calculate 69.7 + 10768734861.
10768734930.7
Calculate -27422398 - -27.59.
-27422370.41
Add together 31729 and -368845156.
-368813427
Add together 217487868394367 and -0.01.
217487868394366.99
Calculate -0.50347712 - -8.3879.
7.88442288
What is -1728.7 take away 9599846?
-9601574.7
Calculate 178261297876.1 + 3.1.
178261297879.2
Work out 7494564 - 4868.
7489696
Subtract 318159613492 from -0.3.
-318159613492.3
0.16+-13760.7534374
-13760.5934374
What is 14 plus -1689.5634227?
-1675.5634227
Put together -0.050692403 and 42.35.
42.299307597
What is 4374809302 less than -213?
-4374809515
What is 34484383 + 8.66?
34484391.66
Work out -22627384717829 + 0.05.
-22627384717828.95
Sum 114797.68217 and 4.4363.
114802.11847
Work out 5 + 103263676514.
103263676519
0.0162613 - 98143283
-98143282.9837387
4+-10076465756.82
-10076465752.82
Work out 104483866 - -10.63146.
104483876.63146
What is the difference between -0.19937 and -46553678759?
46553678758.80063
Calculate -230.69 - 13070319.
-13070549.69
What is 1744 minus 63656420?
-63654676
Total of -7.62313 and -1083729298.
-1083729305.62313
Work out 136.9776 - -27064132.
27064268.9776
What is the distance between -19 and 2.3766473996?
21.3766473996
Sum 6001973183264 and 5.
6001973183269
What is -2.18 less than 397593016475?
397593016477.18
What is -31950959704 plus -9?
-31950959713
Calculate 9013 - 11738130.
-11729117
What is 9 plus 17310666954292?
17310666954301
Sum 12111349.85 and 1.9.
12111351.75
What is -286.19671196 + 0.33885?
-285.85786196
What is the difference between 2.255498549092 and -29?
31.255498549092
What is 0.04703853 + -4875815?
-4875814.95296147
What is -28410050556 plus 444.6?
-28410050111.4
Work out -300344716 - -2759.
-300341957
Subtract 54951 from 6356277.
6301326
Subtract 37 from -11189466043.707.
-11189466080.707
Add together -0.8 and -106301741440.141.
-106301741440.941
What is the distance between -999053744 and -38.14?
999053705.86
What is 73739 take away 6171701?
-6097962
Calculate -167361299 - -7.45.
-167361291.55
Sum 1.8 and -52340091.9827.
-52340090.1827
Subtract 154093 from 0.116009.
-154092.883991
Subtract -131.1 from -228777041.
-228776909.9
What is -84955787255 less than -16797?
84955770458
What is 70296 + 125194750?
125265046
Add together -16858 and -196067341.
-196084199
Sum 0.4 and 0.53265321045.
0.93265321045
Subtract -114170758 from 0.4402.
114170758.4402
Calculate -0.3 - 17011864295709.
-17011864295709.3
Calculate 49962 - -127949077.
127999039
Put together -18483329796172 and 0.07.
-18483329796171.93
Sum -1265644 and 35945.
-1229699
Subtract 11642414833 from 70.
-11642414763
-0.45180403603+-0.07
-0.52180403603
What is 142.655 - -1373749?
1373891.655
Sum 25803224 and 16.7.
25803240.7
Work out 5.8807246 - 0.061875.
5.8188496
-2 - 1320.6806458
-1322.6806458
Work out 97655023061 + 4.
97655023065
What is 0.5 - -277712360971?
277712360971.5
Calculate 5 - -1.00537902625097.
6.00537902625097
What is 33.7972 minus -673127?
673160.7972
8916.159432356+0.3
8916.459432356
What is -0.0095904004515 less than 527?
527.0095904004515
Work out -139093.665449 + 31.
-139062.665449
Add together 276 and 3401376497326.
3401376497602
-0.06564430638057 - -3
2.93435569361943
What is -0.1696 - 28750435374?
-28750435374.1696
What is 1974694274545353 minus -5?
1974694274545358
Sum -5424 and -1884.264804.
-7308.264804
Work out -0.1 - 5776541974353.
-5776541974353.1
What is -1084.7102 minus 25306?
-26390.7102
-15599146654.809+-0.6
-15599146655.409
-48766 + -2.4022853
-48768.4022853
What is 0.04 plus -1.0248611018?
-0.9848611018
Add together -1202987633538 and -8.
-1202987633546
What is 0.0779608 take away 32568.52?
-32568.4420392
Work out -14733136 - 1098772.
-15831908
What is 5 minus -8137107980?
8137107985
Total of 2182415 and 30947.
2213362
What is 4.280731705 + 11?
15.280731705
What is the difference between 8.61416967653225 and 1?
7.61416967653225
Total of 0.08 and 7171636.1101.
7171636.1901
Calculate 130675 - -257756.3.
388431.3
What is the distance between -0.113063 and -498017862?
498017861.886937
Calculate -2335807 + 964507.
-1371300
What is 1.9 take away 2.22700006671?
-0.32700006671
Work out -8410346 - 5958.
-8416304
Total of 0.0821179664186 and 0.4.
0.4821179664186
What is the distance between -0.4 and 1.3815495820212?
1.7815495820212
Calculate -74 + -10268640954.
-10268641028
Work out 0 + -0.717765247854.
-0.717765247854
What is -0.36066 minus -70.19397024?
69.83331024
-7044 - 518845362
-518852406
What is -21671 minus 107176144.9?
-107197815.9
Subtract -1732380 from 0.1034557.
1732380.1034557
What is the difference between 6 and -136074266989?
136074266995
What is -25.2 - -13747.326543?
13722.126543
What is -35652.1378 + -490.3?
-36142.4378
Sum -5 and -54776119991136.
-54776119991141
0.1 + -3068611.3596
-3068611.2596
Put together -2 and -8267527.47627.
-8267529.47627
What is -0.4 less than 671605412160420?
671605412160420.4
What is 11932.17 + 2268825.8?
2280757.97
1.3674131+9.636
11.0034131
Work out -1 - 26300488390311.
-26300488390312
Work out -2279450 - 34779298.
-37058748
What is -9.102546 minus 67522?
-67531.102546
What is -7415866 less than -10346335?
-2930469
What is 17319405449 + 13?
17319405462
Calculate 3092233004721 - -2.
3092233004723
What is the difference between -1472719 and 0.51653?
1472719.51653
Calculate 64778444759.5 + 2.58.
64778444762.08
Total of 62607 and -4.3152811.
62602.6847189
Add -77570 and 0.03172370016.
-77569.96827629984
What is 0.306 minus -3177500398?
3177500398.306
Add together 4733753 and 4025657.
8759410
Work out 66 - -1459038046262.
1459038046328
What is 7933576 less than 2622?
-7930954
-39 - -13755403627938
13755403627899
Work out -368.0686267 - -340.
-28.0686267
What is 2.8068 - 782929.749?
-782926.9422
Calculate 33169.2431881 - -0.1496.
33169.3927881
What is -97 plus 17994.849694?
17897.849694
What is -81 minus -38038.42287?
37957.42287
What is 0.3 - -1451464383300?
1451464383300.3
What is 0.05 + -20772.312715?
-20772.262715
What is 17078 less than 5.96012902?
-17072.03987098
What is 0.4380006 plus -1112.21?
-1111.7719994
Sum -0.5 and 17.2896038039.
16.7896038039
0.3358 - | {
"pile_set_name": "DM Mathematics"
} |
: 4}. What is prob of sequence hq?
2/33
Two letters picked without replacement from {w: 2, f: 3, l: 3}. What is prob of sequence wf?
3/28
Two letters picked without replacement from {q: 5, x: 3, a: 1, s: 4}. What is prob of sequence as?
1/39
Calculate prob of sequence wwjj when four letters picked without replacement from {j: 5, w: 2}.
1/21
Four letters picked without replacement from {s: 2, n: 2, k: 3, t: 2}. Give prob of sequence sstn.
1/378
Calculate prob of sequence cw when two letters picked without replacement from wccccwcwcc.
7/30
Three letters picked without replacement from kmroomrmmoorooozorom. What is prob of sequence rzo?
1/190
Calculate prob of sequence ubku when four letters picked without replacement from kkykbkybykukkyybyyyu.
7/19380
What is prob of sequence fsof when four letters picked without replacement from {t: 2, o: 1, s: 2, f: 2, h: 1}?
1/420
Calculate prob of sequence mmu when three letters picked without replacement from {m: 4, j: 1, u: 1, e: 1, a: 1}.
1/28
Two letters picked without replacement from xrxxxhmxrxxxxxfxx. What is prob of sequence fh?
1/272
What is prob of sequence zzsz when four letters picked without replacement from {d: 1, z: 4, b: 3, s: 12}?
4/1615
Three letters picked without replacement from lgggliigll. What is prob of sequence lll?
1/30
Four letters picked without replacement from apayppapaaaaagap. Give prob of sequence pggp.
0
Calculate prob of sequence aagg when four letters picked without replacement from {g: 2, a: 5}.
1/21
Two letters picked without replacement from {q: 1, r: 2, k: 2, u: 4}. Give prob of sequence ku.
1/9
Four letters picked without replacement from jhjlhjyjyjhylyyyy. Give prob of sequence jhjj.
3/952
What is prob of sequence kcz when three letters picked without replacement from cskksckzzkkzkzkkkkcc?
4/171
Calculate prob of sequence kk when two letters picked without replacement from {k: 12, l: 7}.
22/57
What is prob of sequence ezzz when four letters picked without replacement from eezzeze?
1/35
What is prob of sequence rr when two letters picked without replacement from {r: 12, w: 6}?
22/51
Calculate prob of sequence sm when two letters picked without replacement from {s: 11, m: 1}.
1/12
Calculate prob of sequence dh when two letters picked without replacement from udduhh.
2/15
Three letters picked without replacement from nniahjt. Give prob of sequence jnt.
1/105
Two letters picked without replacement from fnnfnnf. Give prob of sequence nf.
2/7
Four letters picked without replacement from ggfooatffgafgggtgag. What is prob of sequence taaa?
1/7752
Two letters picked without replacement from lcccccccccclclcccccc. What is prob of sequence lc?
51/380
Two letters picked without replacement from {l: 10, m: 4, r: 2}. Give prob of sequence rl.
1/12
Two letters picked without replacement from {b: 5, s: 2}. Give prob of sequence sb.
5/21
Three letters picked without replacement from {j: 1, w: 1, l: 1, u: 1, z: 2, k: 1}. What is prob of sequence jkl?
1/210
Calculate prob of sequence eo when two letters picked without replacement from yekoeykebeoeekeoyyo.
14/171
Three letters picked without replacement from {e: 2, i: 2, c: 2, d: 2}. What is prob of sequence eii?
1/84
Two letters picked without replacement from {y: 3, k: 5}. Give prob of sequence ky.
15/56
Two letters picked without replacement from lbblblblbl. What is prob of sequence lb?
5/18
What is prob of sequence cch when three letters picked without replacement from crrrchrchqhqhhr?
1/91
Three letters picked without replacement from annnnnnnqnnqnqnnnnnn. Give prob of sequence nan.
2/57
Two letters picked without replacement from gczaapcpfgafpap. What is prob of sequence zg?
1/105
Calculate prob of sequence qj when two letters picked without replacement from jjqjjjjqj.
7/36
What is prob of sequence qu when two letters picked without replacement from uudrueqdqzuur?
5/78
Calculate prob of sequence eje when three letters picked without replacement from jjjjjjjejjjeejj.
12/455
Calculate prob of sequence jjej when four letters picked without replacement from {h: 1, e: 2, p: 3, z: 3, j: 7, x: 2}.
7/1224
Calculate prob of sequence qaa when three letters picked without replacement from {t: 3, e: 1, f: 6, q: 1, a: 2}.
1/858
Four letters picked without replacement from {f: 2, c: 1, m: 1, p: 1, j: 1, r: 1}. What is prob of sequence jcfm?
1/420
What is prob of sequence okx when three letters picked without replacement from {o: 1, x: 1, k: 2, w: 1}?
1/30
Three letters picked without replacement from {s: 3, w: 7}. What is prob of sequence sww?
7/40
Calculate prob of sequence jbms when four letters picked without replacement from {s: 2, m: 1, b: 1, k: 1, q: 2, j: 1}.
1/840
Calculate prob of sequence ukdu when four letters picked without replacement from {k: 2, b: 1, u: 2, d: 1}.
1/90
Calculate prob of sequence ht when two letters picked without replacement from hhhthhhhhhhh.
1/12
Calculate prob of sequence anwi when four letters picked without replacement from nnwibanwnwbwwinnbw.
1/1020
Three letters picked without replacement from {o: 2, d: 10}. Give prob of sequence doo.
1/66
Two letters picked without replacement from zzzw. Give prob of sequence zz.
1/2
What is prob of sequence lb when two letters picked without replacement from {c: 4, l: 2, b: 2}?
1/14
Calculate prob of sequence uuiu when four letters picked without replacement from {u: 3, i: 1}.
1/4
Calculate prob of sequence hptt when four letters picked without replacement from ddhhpphdttthtddht.
5/1428
Calculate prob of sequence jgj when three letters picked without replacement from ejbbegbgj.
1/126
Calculate prob of sequence ik when two letters picked without replacement from kkekekikinhiiiiknn.
2/17
Two letters picked without replacement from uwwwswwefeeuwsuwnesu. Give prob of sequence ee.
3/95
Calculate prob of sequence dd when two letters picked without replacement from dyppfypgdgnd.
1/22
Four letters picked without replacement from ggiiggigigig. What is prob of sequence giii?
7/198
Two letters picked without replacement from {h: 1, m: 2, a: 1, o: 1}. What is prob of sequence ha?
1/20
Two letters picked without replacement from {x: 2, r: 2, q: 6, j: 3, m: 2}. Give prob of sequence qr.
2/35
What is prob of sequence ccf when three letters picked without replacement from {c: 2, w: 1, f: 2}?
1/15
What is prob of sequence evvx when four letters picked without replacement from evexv?
1/30
Calculate prob of sequence oq when two letters picked without replacement from oqquq.
3/20
Calculate prob of sequence qmqm when four letters picked without replacement from {q: 15, m: 4}.
35/1292
Calculate prob of sequence bfzy when four letters picked without replacement from yjybqzf.
1/420
Four letters picked without replacement from {e: 3, f: 3}. What is prob of sequence eefe?
1/20
Calculate prob of sequence rx when two letters picked without replacement from prxrzzz.
1/21
Three letters picked without replacement from xjvxbvxxxxzdddv. What is prob of sequence ddj?
1/455
What is prob of sequence rxv when three letters picked without replacement from {w: 2, r: 1, v: 1, e: 1, x: 2}?
1/105
Two letters picked without replacement from alxnd. Give prob of sequence dn.
1/20
Two letters picked without replacement from xhxhhx. What is prob of sequence xh?
3/10
What is prob of sequence zz when two letters picked without replacement from zzzll?
3/10
What is prob of sequence qw when two letters picked without replacement from {f: 3, q: 2, i: 4, w: 10}?
10/171
Three letters picked without replacement from jjppjjvjpppjuvjjn. Give prob of sequence nnp.
0
Two letters picked without replacement from {t: 1, f: 1, k: 2, q: 1, l: 2, y: 2}. Give prob of sequence yq.
1/36
Calculate prob of sequence rrso when four letters picked without replacement from ssnnnonnornnnnnornns.
1/6460
What is prob of sequence gjj when three letters picked without replacement from {k: 3, j: 2, g: 1, r: 6}?
1/660
Two letters picked without replacement from {k: 3, r: 8}. Give prob of sequence kk.
3/55
What is prob of sequence jnp when three letters picked without replacement from jnjpnnnpjnnpn?
21/572
What is prob of sequence xvo when three letters picked without replacement from xuouvxuvxxv?
2/165
Two letters picked without replacement from mex | {
"pile_set_name": "DM Mathematics"
} |
p, 2*p = y - 26. Let v = -21 - -29. What is the highest common factor of v and y?
8
Let j = 9 + -5. Suppose -3*b - 192 = -j*b. What is the greatest common divisor of b and 24?
24
Let g(s) = s**3 - 2*s**2 + s + 2. Let c be g(3). Suppose -z = -4*z + 63. What is the highest common factor of z and c?
7
Let l = -167 + 95. Let s be (l/15)/((-2)/55). What is the highest common divisor of 12 and s?
12
Let w = 61 - 39. Calculate the greatest common factor of w and 198.
22
Let n = 143 - 138. Calculate the greatest common divisor of 5 and n.
5
Let m(v) be the third derivative of v**4/24 + 7*v**3/6 + 3*v**2. Let y be m(-3). Calculate the highest common factor of 12 and y.
4
Suppose 46 = 8*g - 7*g. What is the highest common divisor of 23 and g?
23
Suppose -15*u = -11*u - 20. Calculate the highest common factor of 45 and u.
5
Let o(n) = -n**3 + 6*n**2 - 4*n + 6. Let q be o(4). Calculate the greatest common divisor of 11 and q.
11
Let y be (-6)/(-4)*62/3. What is the highest common factor of y and 31?
31
Let b be ((-189)/(-18))/((-3)/(-6)). What is the greatest common factor of b and 63?
21
Suppose 0 = -5*i - 5*h + 135, -5*i - 3*h + 163 = 32. What is the greatest common divisor of 175 and i?
25
Let x(i) = 5*i - 8. Suppose 3*w + 7 = 4*b - 21, -2*b - 2*w + 14 = 0. Let p be x(b). Let m = 4 - 1. What is the greatest common factor of p and m?
3
Let x be ((2*-2)/(-2))/1. Suppose -4*o = x*q + 86, -67 = 5*q + 2*o + 116. Let h = q + 75. Calculate the highest common factor of 16 and h.
8
Let x = 10 - -1. What is the highest common factor of x and 1?
1
Suppose -4*t - 2*j + j = -24, -t + 5*j = -6. What is the greatest common factor of t and 54?
6
Let u be (-5)/(-1 + 2/3). Calculate the highest common factor of u and 15.
15
Let x be (43 - -9) + 1 + -1. Calculate the highest common factor of 13 and x.
13
Let f(i) = -3*i**3 - 4*i**2 + 3. Let o be f(-3). Let m = o + 57. Let t be (-15)/(-2)*4/2. Calculate the highest common divisor of m and t.
15
Let t(w) = 11*w**2 + w + 2. Let o = 10 - 8. Let i be t(o). What is the greatest common factor of i and 6?
6
Let t(h) = 3*h**2 + 1. Let s be t(-1). Suppose 3*w = -s*u + 56, -65 = -0*w - 5*w - u. What is the greatest common factor of 3 and w?
3
Suppose 0 = 4*x - 5*u - 2, 4 = -x + 3*u + 1. Suppose -53 = -3*k - z - 11, 5*k + 5*z - 60 = 0. Calculate the highest common factor of k and x.
3
Let r be (108/16)/((-3)/12). Let y be (r/(-15))/(15/50). Calculate the highest common divisor of 3 and y.
3
Let l(y) = y**3 - 4*y**2 - 4*y + 4. Let m = -3 + 8. Let i be l(m). Let o = 15 - i. Calculate the greatest common factor of 4 and o.
2
Suppose -3*q - 13 = -b, 0 = -5*b + 4*q + 46 + 19. Suppose 4*a - 113 = -b. Calculate the highest common factor of a and 5.
5
Suppose -5*g - 2*t = -0*g - 218, -93 = -2*g + 5*t. What is the greatest common divisor of 440 and g?
44
Let w be (-1)/((-68)/22 + 3). What is the highest common factor of w and 77?
11
Let t = -5 + 7. Let s be 33/t - 3/6. Calculate the highest common factor of s and 176.
16
Let h(p) = 2*p - 6. Suppose 2*a - 30 = -5*x, 2*x + 2*a + 2 = 5*x. Let k be h(x). Let i be (-1)/2 - (-103)/k. What is the highest common divisor of i and 34?
17
Let w = 42 + -33. Let q be -2*(-6)/(-8)*-6. What is the highest common divisor of w and q?
9
Suppose -4*p + 17 = -39. Suppose 2*h - 20 = -5*g, 4 + 1 = h. Let c = 23 - g. What is the highest common factor of p and c?
7
Let a = -136 - -166. What is the greatest common divisor of a and 10?
10
Let b(m) = m - 3. Let n be b(8). Let p be (-13 - -12)/((-1)/5). Calculate the greatest common divisor of n and p.
5
Let a = 13 + 0. What is the greatest common divisor of 52 and a?
13
Let v = -8 - -12. Suppose v*a - 480 = -h, 3*a - 2*h - 360 = -0*h. What is the highest common factor of a and 15?
15
Suppose -133 + 727 = 4*o + 3*m, 4*o - 2*m - 604 = 0. What is the greatest common factor of 15 and o?
15
Suppose -6*u + 73 = 49. Calculate the highest common divisor of u and 6.
2
Let d(h) = -h**3 + 7*h**2 + 22*h + 3. Let s be d(9). Calculate the highest common divisor of 312 and s.
39
Let f = -141 + 1207. Suppose 4*k - 802 = -3*h, -2*k + f = 4*h - 0*k. Let r be h/4 - (-2)/(-4). What is the greatest common divisor of 6 and r?
6
Suppose -1 - 15 = -4*s. Suppose 123 = 3*g + 3*l, -s*g + l = -3*g - 39. What is the greatest common factor of g and 10?
10
Let g(p) = p**3 - p**2 + p + 63. Let o be g(0). Calculate the greatest common factor of o and 18.
9
Let l = 50 - 29. Suppose 96 = q - 3*y, -4*q - q + 3*y = -432. What is the greatest common factor of q and l?
21
Let m = -2 - -4. Let v(p) = 2*p**3 + 2*p**2 - 2*p + 3. Let i be v(m). Let a = i - 12. Calculate the greatest common divisor of 44 and a.
11
Let r be 24/10 + (-6)/(-10). Suppose -3*y + 8*y + f = 90, r*y - 46 = f. Calculate the highest common factor of y and 119.
17
Let c be 1/1 + 18/2. Let s(x) = -3*x**3 - x**2 - x - 2. Let o(i) = i - 12. Let w be o(10). Let n be s(w). Calculate the highest common factor of n and c.
10
Let r = -100 - -135. Calculate the highest common factor of r and 105.
35
Suppose w - 4*w = -30. Let f be 13/26*(-1 - -189). Let y = 174 - f. What is the greatest common divisor of w and y?
10
Suppose -200 = -2*g + 98. Suppose 0 = -4*n + 375 + g. Suppose 4*y = n + 233. Calculate the greatest common factor of 13 and y.
13
Let x(q) be the first derivative of -3 + 2*q**2 + 10/3*q**3 - q. Let n be x(-3). Calculate the greatest common divisor of n and 11.
11
Let b(f) = f**2 - 4*f - 8. Let p(o) = o**2 - o - 1. Let i(q) = -b(q) + 6*p(q). Let u be i(-4). What is the highest common divisor of 18 and u?
18
Let w be 6/27 + 1864/36. Calculate the greatest common factor of 13 and w.
13
Suppose 23 = 4*w - 1. Suppose -2*y + 12 = 2. Let x(p) = 4*p + 4. Let b be x(y). Calculate the greatest common divisor of w and b.
6
Suppose 21 = 5*l + 1. Suppose 87 = l*y - 21. Let m(n) = n**3 + 6*n**2 + 7*n + 5. Let p be m(-4). What is the highest common divisor of p and y?
9
Suppose 10*h - 61 = 29. Calculate the highest common divisor of 207 and h.
9
Let x be (-72)/(-3)*1/2. Suppose 0*w = 4*w - 336. Calculate the greatest common factor of x and w.
12
Suppose 102 = -6*a + 462. Let q be (-10)/(-6) - 4/(-12). Let x(n) = 3*n**3 - 2*n**2 - n - 2. Let r be x(q). What is the highest common divisor of r and a?
12
Let z(l) = l**2 - l + 35. Let d be z(0). Calculate the greatest common factor of d and 14.
7
Let o be 2/6 + (-1924)/(-6). Suppose -5*j + o = -79. Let g(u) = u**2 + u - 4. Let h be g(3). What is the highest common factor of j and h?
8
Suppose 9*h + 0*h - 36 = 0. Calculate the greatest common factor of h and 8.
4
Suppose 0*r + 15 = -5*r. Suppose -5*l + 3*l = 0. Let p be 8 + (r - (-2 + l)). What is the highest common factor of 21 and p?
7
Let k = 21 - 19. What is the greatest common factor of k and 2?
2
Let z = -1 - -5. Let q be 2/z - (-775)/10. Suppose -r = -t + 8 + 22, 3*t + r = q. What is the greatest common divisor of t and 9?
9
Let g(d) = -d**2 - 6*d + 4. Let o be g(-6). Suppose o*t - 132 = t. Let n be 10/(-5)*(0 + -2). Calculate the highest common factor of t and n.
4
Suppose 2*v = -2*w - 6, -5*w = v + v. Suppose -w*l = l - 12. Suppose 3*g - l*t - 67 = 116, -3*g - t = -198. What is the highest common factor of g and 13?
13
Let m(y) = 0*y - 3 + 8 + y + 6*y. Let p be m(4). What is the highest common factor of 11 and p?
11
Let v(r) = -r**3 - r**2 + 2. Let u be v(0). Suppose -36 = -2*w - 0*w. Calculate the highest common factor of u and w.
2
Let o(b) = -15*b**3 + b**2 + 3*b + 2. Let g be o(-2). Calculate the highest common divisor of g and 15.
15
Suppose 2*z + 3 - 13 = 0, -5*i - z + 5 = 0. Let l be i - -1 - 0/(-2). Calculate the highest common divisor of l and 2.
1
Let b = -1 + 2. Let s = b - -21. Calculate the greatest common divisor of 33 and s.
11
Let w(z) = -28*z + 2. Let b be w(-2). Suppose -b = -5*p - 18. What is the highest common factor of p and 24?
8
Suppose 4*r + 0 = 24. Calculate the greatest common divisor of r and 48.
6
Let i be (26 - 25) + 35/1. Let u = 40 + 14. Calculate the greatest common divisor of i and u.
18
Let j = 316 + -91. Suppose 2*a - j = -a + 2*w, -3*a + 225 = -4*w. Calculate the highest common divisor of 15 and a.
15
Let j(d) = -d**3 - 6*d**2 + 3*d - 8. Let y be j(-7). What is the highest common divisor of y and 50?
10
Su | {
"pile_set_name": "DM Mathematics"
} |
iple of 30 and j?
60
Suppose -4*q = 5*v - 6627, 2114 = 4*v - 2*q - 3172. Suppose 139*t - 160*t = -v. What is the smallest common multiple of t and 9?
63
Calculate the smallest common multiple of 40 and 290/8*(-1616)/(-101).
1160
Let a(t) = 91*t**2 + 2*t + 1. Let d(v) = -8*v**3 - 97*v**2 - 21*v - 94. What is the lowest common multiple of d(-12) and a(-1)?
630
Let n = 57/40 - 171/20. Let v be (-103494)/14*(-4)/72. Let c = -2974/7 + v. What is the common denominator of n and c?
24
Let d = 1802731/8 + -225348. Let b = -8797 - -4891. Let j = 31183/8 + b. Find the common denominator of j and d.
8
Calculate the common denominator of ((-156)/(-21))/((-285)/(-19)) and 62/105.
105
Let u(h) = h**2 - 7*h. Calculate the lowest common multiple of u(10) and 117.
1170
Let j = 1/1218691 - 3556140611/332702643. Let x = -211/21 - j. What is the common denominator of -86/15 and x?
195
Let f(v) = -v**3 + 10*v**2 + 5*v - 52. Let p be f(10). Find the common denominator of 278/(-24) - 2/8 and (p/(-12))/((-342)/(-836)).
54
Suppose 2*v + 230 = 4*z, 3*v = -4*z - 2*v + 209. Suppose 5*b - 60 = -2*o, -4*b + 2 = o - 49. Calculate the least common multiple of z and b.
56
Suppose -6*g + 421 = -53. Suppose c + 60 = -g. Let v = 1979/14 + c. Calculate the common denominator of v and 23/2.
14
Let y be (-106)/(-15)*(17 - -3). Let g = -255 + y. Let z = 116 + g. Find the common denominator of -43/3 and z.
3
Let z(y) = 3*y - 37. Let r be z(13). Suppose -3*a - i + 12 = 0, 5*i = -2*a - r + 23. What is the lowest common multiple of a*((-16)/(-5) + 2/(-10)) and 7?
63
Let o = 5173 + -3337. Calculate the lowest common multiple of o and 54.
1836
What is the smallest common multiple of 1160 and (-464)/10*(99/(-6) + (-32)/(-8))?
1160
Suppose -32*c + 108964 = -159420. Let i be 251527/(-30) + -1 + 1. Let u = i + c. Find the common denominator of u and -73/15.
30
Let u = 2/1362141 + 2202859/74766406. Find the common denominator of -6/7 and u.
31122
Let j(x) = 6*x**2 - 4*x + 18. Suppose -300 = -5*b - 3*q, -3*q - 203 + 23 = -3*b. Suppose 0 = -13*p + 8*p + b. What is the least common multiple of j(-3) and p?
84
Let w = 32 - 36. Let s be (-2)/(-4) + 74/w. Calculate the common denominator of (-12)/36 - 19/s and 75/28.
252
Let w = -988144/535 + 1847. Let z = w + 2643/17120. Calculate the common denominator of -61/16 and z.
32
Suppose 7*q - 9*q + 10 = -4*h, 2*q = 2*h + 2. Calculate the common denominator of -133/48 and 2050/(-540) + 6 + h.
432
Let k = 20 + -14. Let h be (-1 + k/12)*(9 - -1). Find the common denominator of (-17)/(-2) - (-4)/(h - -1) and 69/22.
22
Let c = 5/5096 + 280145/137592. Suppose -8*r + 234 = -21*r. Find the common denominator of c and 1/(-12)*(-228)/r.
54
Let n(g) = -53*g**3 - 3*g**2 + 3*g - 1. Let x be n(1). What is the common denominator of (-6)/(-16)*6/x*-41 and 2/33?
264
Calculate the common denominator of (19/(-4) - (-1)/(-4)) + (-21646)/(-3160) and 101/1420.
1420
What is the common denominator of -18/17 and 1*-14*(-7)/196*(0 + 0)?
17
What is the common denominator of -67/291 and ((-3 - -2)/168)/(1869/(-45212))?
85554
Let x = 444854 + -702869229/1580. What is the common denominator of x and -19/12?
4740
Let d(o) = o**2 - 52*o - 81. Let k be d(54). Suppose 0 = -k*f + 24*f + 45. What is the lowest common multiple of f and 50?
150
Let l = 143553 + -128623475/896. Find the common denominator of 77/4 and l.
896
Suppose -2*r - 151*z + 142*z = -1110, -5*r = 3*z - 2775. What is the lowest common multiple of r and 87?
16095
Let w be (-8 - 44)*4/(-8). Calculate the smallest common multiple of (-1 + w/10)*(-1 + 16) and 28.
168
Let r = 1666681/770 - -199/70. Let m = 43453/99 - r. Let d = m - -1721. Find the common denominator of d and -73/6.
18
Suppose u = n + 9 - 56, 197 = 4*n - u. Suppose 59*x - 189 = n*x. Calculate the smallest common multiple of 7 and x.
21
Let r be 0/47*(-1)/(-6). Suppose r = 5*a - 2*a - 3*k - 72, 0 = -3*a - 4*k + 93. What is the lowest common multiple of 33 and a?
297
Let g = -32 + 92. Suppose 7*d - 4*d = g. What is the least common multiple of 45 and d?
180
Let p(t) = -81*t**3 + t**2 + 2*t + 1. Let r be p(-1). Suppose -5*l - 164 + 524 = 0. Let x = r - l. Calculate the least common multiple of x and 5.
45
Calculate the common denominator of (-2)/(-6)*2 + (-277)/492 and -93/64.
2624
What is the common denominator of -23/6432 and -7*5/(-6)*1647/(-1220)?
6432
Let i = 423534 + -2541343/6. Let f(d) = d**3 - d**2 - 4693. Let a be f(0). Let h = a + 178313/38. Find the common denominator of i and h.
114
Let b = 790279407 - 14228980732299/18005. Let g = b + -9/554. Calculate the common denominator of g and -5/78.
390
Let h = 296437/50 - 5927. Let w = -364157/22 - -16553. Find the common denominator of h and w.
550
Let v be ((-5)/(0 - 30))/(1/55229). Let n = v + -9180. Calculate the common denominator of n and -67/98.
294
Suppose -158827*p + 648 = -158800*p. What is the lowest common multiple of 4356 and p?
8712
Calculate the common denominator of -7/9 and 51*(-4)/(-178968)*(3 - (-35)/(-5)).
67113
What is the common denominator of 1449217/(-148995) + (-6)/(-10) - -9 and -27/473?
4257
Let d(u) = -2*u + 2 - 5 - 2*u - 3*u - u**2. Let m be d(-5). Suppose 4*h = 3*y + 53, -y + 71 = -2*h + m*h. What is the lowest common multiple of h and 12?
84
Calculate the common denominator of -11/222 and (1/(-21))/((-110)/7150).
1554
Let c be -13 + -2 - (0 + 1). What is the common denominator of (-10)/c*114/9 and (-240)/(-3328)*(-5)/(-30)*88?
156
Let y(z) = -z - 8. Let s be y(-7). Suppose -3*k - 18 = -2*r, -93*k + 98*k - 27 = -3*r. Calculate the smallest common multiple of r and (42/12)/(s/(-6)).
63
Suppose 10*k - 7*k = 24. Suppose -c + k = c. Suppose -4*s = 5*w - 93, -5*s + 2*w + w = -107. What is the least common multiple of s and c?
44
Suppose 0 = 81*y - 82*y + 7, -3*f + 2*y + 3088 = 0. What is the least common multiple of 1222 and f?
13442
Let c = -11950 - -19496. What is the smallest common multiple of c and 2058?
22638
Suppose 0 = 12*b + 5*b - 102. Calculate the lowest common multiple of 16 and 3*(-4 + 34/b).
80
Let b be 74/2*-4*(-91)/(-338). Let j = b - -2731/78. What is the common denominator of (-10)/30*(-534)/8 and j?
12
Calculate the lowest common multiple of ((-99)/(-4))/(201/1072) and 22.
132
Let a(g) = -227*g - 307. What is the lowest common multiple of a(-9) and 20?
8680
Let s = 7 + -1. Suppose -46*h + 47*h + 3 = 3*y, 36 = 5*h + 2*y. Calculate the smallest common multiple of s and h.
6
Let v be (-45379)/(-6064) + 184 + -190. Let k = -42355873/379 + 111757. Let m = v + k. Calculate the common denominator of m and 81/44.
176
Find the common denominator of -47/6 and 11591/(-1935) + (0 + 8 - 6/3).
3870
Let a(s) = s**3 - 10*s**2 + 16*s + 6. Let b be a(8). Suppose f - 13 = w, 2*w - 36 = -2*f + b*w. Calculate the lowest common multiple of f and 20.
40
Let d = -19239293/114 - -168767. Find the common denominator of d and -9/20.
1140
Let c be (2 - -2)*16/8. Suppose m = c + 1. What is the smallest common multiple of 33/(-2)*44/(-66) and m?
99
What is the common denominator of -49/330 and (4949/4312)/((-18)/8)?
990
Let c be (576/12)/((-6)/4). Let f = 5/5053 - -550707/70742. Calculate the common denominator of f and (6/c)/(33/(-1111)).
112
Let b(w) = 4*w**2 + 9*w. Let z be b(1). Let o(r) = 9*r - 87. What is the lowest common multiple of o(z) and 33?
330
Let f = 6874/165 - 667/20. Let y = f - 74/11. Let u = -20801 + 415927/20. What is the common denominator of u and y?
60
Suppose -k = -3*l - 452 - 516, 5*k - 2*l - 4827 = 0. What is the lowest common multiple of k and 8?
7720
Suppose -55*d + 2690 = 1390 - 3100. What is the lowest common multiple of 1120 and d?
1120
Let f(a) = 67*a - 47*a - 41*a + a**2 - 24. What is the least common multiple of 26 and f(23)?
286
Let w be 7590/(-90) - 4/6. What is the common denominator of -75/14 and ((-2)/w)/((-8)/530)?
238
Calculate the common denominator of (237/(-2528))/(3/89) and ((-186)/(-10))/((-112)/(-10)).
224
Let o be (4/3)/(10 - (-3036)/(-306)). Suppose -o*m - 9*m + 442 = 0. Let x = 12 - 6. What is the least common multiple of m and x?
102
Let b = -18385693/120 - -153213. Find the common denominator of b and -33/80.
240
Find the common denominator of (-4)/18 - (-593)/(-126) and (12 - (6 - 3)) + 28*1967/(-6104).
1526
Let x(z) = -3*z - 44. Let m b | {
"pile_set_name": "DM Mathematics"
} |
et o = -54 - -60. Let g be x(o). Suppose -20 = 5*u, 0*u + 20 = g*k + 5*u. Calculate the remainder when k is divided by 5.
0
Let v = 316 + -355. Let y = 58 + v. What is the remainder when 586 is divided by y?
16
Let l(j) = -5*j**2 - 23*j + 14. Let w be l(-5). Calculate the remainder when ((w - 1)/(-1))/(9/(-48)) is divided by 7.
2
Suppose 106*s = 113*s - 343. Calculate the remainder when 1077 is divided by s.
48
Let t = 158 + -158. Suppose -3*f - 4*x + 2 = t, 2*f - 12*x + 14*x - 2 = 0. What is the remainder when 33 is divided by f?
1
Calculate the remainder when 728 is divided by 2/(((-26)/871)/(-1)).
58
Let d(w) = 1749*w - 10329. Calculate the remainder when d(6) is divided by 1/4 + (-139)/(-4).
25
Let g(u) = 318*u - 2191. What is the remainder when 322 is divided by g(7)?
7
Let u(q) = -q**2 + 6*q + 7. Suppose -4*j + 1976 = -3*m, m - j + 481 = -178. Let x = m - -712. Calculate the remainder when x is divided by u(5).
4
Suppose 46 = 4*v + 2*p, v - 5*p = -2*p + 1. Suppose 318 = -v*n + 16*n. What is the remainder when n is divided by 18?
17
Let x = 11 - 7. Let d(q) = q**2 - 19*q - 20. Let n(l) = -l**2 + 20*l + 20. Let a(k) = x*d(k) + 3*n(k). Calculate the remainder when a(18) is divided by 6.
4
Let m = 32 - 22. Let d(l) = 3*l**3 - 4*l**2 - 53*l + 213. What is the remainder when d(4) is divided by m?
9
Suppose -395 = -7*v - 38. Suppose -2*j + 36 = 2*j. Calculate the remainder when 6 - (-1702)/17 - 6/v is divided by j.
7
Suppose -173*h - 10449 = -26162 - 114383. Calculate the remainder when 1527 is divided by h.
23
Suppose -134 = 202*t - 203*t. What is the remainder when 413 is divided by t?
11
Let o(t) = -t**3 + 23*t**2 - 82*t + 4. Suppose 8*k - 53 + 13 = 0. Calculate the remainder when o(k) is divided by 9.
8
Let b = 1848 - 1536. What is the remainder when b is divided by 42?
18
Let q(l) = -71*l**3 + 2*l**2 - 2*l + 1. Let i be q(1). Suppose 5*t = j + 22, -73*j + 74*j = -t - 46. Calculate the remainder when 19 is divided by j/i + 44/10.
4
Let k = 49 - 43. Calculate the remainder when 1220/23 - (-169)/(-3887) is divided by k.
5
Suppose -4 = -5*d + 6. Let q = 551 + -383. Suppose -d*a = -5*a - 3*p + q, p = 2*a - 121. What is the remainder when a is divided by 10?
9
Calculate the remainder when 1963 is divided by 1557/21 - (-56)/(-49).
65
Let q(x) = 2*x + 39. Let d be q(-17). Suppose -49 = -2*g - j - 2*j, -g - d*j = -42. Suppose 9*m - 8*m = g. Calculate the remainder when 31 is divided by m.
14
Suppose 0 = 20*l - 19*l - 3768. Calculate the remainder when l is divided by 26.
24
Suppose 4*f - 1335 = -3*t, -30 = t - 31. Calculate the remainder when f is divided by (15/10)/(3/112).
53
Suppose 36 = 2*m + w, 3*m + 2*w - 3*w - 44 = 0. Suppose -52*x - 1752 = -58*x. Let s = 338 - x. Calculate the remainder when s is divided by m.
14
Let h be 72/(-396) - 97/11. Calculate the remainder when (-318)/h + (1 - 2/6) is divided by 11.
3
Let u = 1362 + -1993. Let v = u - -692. What is the remainder when 180 is divided by v?
58
Let d = 507254 + -507132. Suppose 5*x - 11 - 44 = 0. What is the remainder when d is divided by x?
1
Suppose -505 = 3*m - 1831. Let r = m - 265. Calculate the remainder when r is divided by 20.
17
Let p be ((-32)/(-48))/((-1)/(-9)*-1). Suppose -2*t - 3*j - 49 = -3, -30 = t - 2*j. Let a = p - t. What is the remainder when a is divided by 11?
9
Let a(v) = -19*v + 34. Let u(g) = -20*g + 34. Let f(z) = -5*a(z) + 4*u(z). What is the remainder when 281 is divided by f(7)?
68
Let p be (15/(-9))/5 + (-8)/3. Let l(z) = 15*z + 31. Let w(n) = -16*n - 30. Let g(u) = -3*l(u) - 2*w(u). What is the remainder when 94 is divided by g(p)?
4
Let k = -191221 + 191378. Calculate the remainder when k is divided by (12/(-1))/((-4)/6).
13
Let z = -168 + 20. Let d = -72 + 104. Calculate the remainder when d is divided by 7/21 - z/6.
7
Let b = 54 - -134. Suppose 0 = -0*p - 4*p + b. Let w = -62 - -70. What is the remainder when p is divided by w?
7
Suppose -16*t - 18*t - 3*t + 62826 = 0. What is the remainder when t is divided by 46?
42
Let f = 16 - 12. Suppose 8*t - 599 = -f*r + 3*t, -4*t + 760 = 5*r. Calculate the remainder when r is divided by 53.
50
Let i(k) = -k**2 - 33*k + 1373. Calculate the remainder when i(-51) is divided by 7.
0
Suppose 3*m - 6 = -5*n + 4*n, -n + 4 = 2*m. Let f = -21 + 76. Suppose 0 = -7*y + m*y + f. What is the remainder when y is divided by 6?
5
Suppose -2*m = 5*j - 60, 0 = -5*j + 3*m - 6 + 66. Calculate the remainder when 56*10/(-40) + 71 is divided by j.
9
Let v(i) = -i**2 + 18*i - 1. Suppose -135 = -13*k - 18. Calculate the remainder when v(k) is divided by 22.
14
Let m(l) = -48*l + 436. What is the remainder when 91 is divided by m(8)?
39
Let m(k) = 127449*k + 31 - 127449*k + 2*k**2. Calculate the remainder when m(-8) is divided by 81.
78
Suppose -3*t + 8 = 5*u + 3, -3*t + 4*u = -23. Suppose 3*z = 2*z - 3*f, -2*z - t*f + 4 = 0. What is the remainder when 142 is divided by z?
10
Suppose -5*p - 202 = -2*t + 32, -3*p + 351 = 3*t. Suppose -123*a + t*a = -1164. Calculate the remainder when a is divided by 3.
2
Let w be 45/(-2)*(-192)/36. What is the remainder when 143 is divided by (-3 + 8)*w/25?
23
Suppose 213 = 4*u - 59. Suppose 22*b = -36*b + 116. Suppose -f - 5*t = -u, 5*t = b*f - 0*f - 181. What is the remainder when f is divided by 22?
17
Suppose 4299*i + 636 = 4311*i. What is the remainder when 315 is divided by i?
50
Let i = -25 + 91. Suppose 3854 = -19*m + i*m. What is the remainder when m is divided by 5*(84/10)/2?
19
Suppose 42*n - 40*n = -8. Let o(i) = 11*i + 50. Calculate the remainder when o(n) is divided by 5.
1
Let d be (-1)/(1/73)*-1. Let q = -36 + d. Calculate the remainder when 146 is divided by q.
35
Suppose 0*z = -5*z + 15. Let j = 3 - -5. Suppose 5*g = -3*h + 3, 2 = 2*g - h - j. What is the remainder when g is divided by z?
0
Calculate the remainder when 13959/188 - 27/12 is divided by 34.
4
Suppose 0 = -21*u + 25 - 88. Calculate the remainder when 110 is divided by 75/(5 - 10)*u.
20
Suppose -855*k + 802*k + 5512 = 0. Calculate the remainder when 138 is divided by k.
34
Let q(r) = -22*r**2 + 3*r - 7. Let b(f) = -23*f**2 + 2*f - 6. Let y(s) = -3*b(s) + 2*q(s). Let h = -14 - -16. What is the remainder when y(h) is divided by 35?
34
Let q(f) = -75*f + 918. What is the remainder when q(5) is divided by 72?
39
Let s(w) = -w**2 - 547*w + 5619. What is the remainder when 1308 is divided by s(10)?
34
Suppose -5*b - 23*j + 25*j = -6530, b = -2*j + 1318. What is the remainder when b is divided by 649?
10
Let f = 367 - 235. Suppose 8*b - 1284 = -f. What is the remainder when b is divided by 37?
33
Suppose 304 = 14*a + 13*a - 209. What is the remainder when 332 is divided by a?
9
Suppose b + 103 = 2*l, 3*l = -2*b + 4*b + 157. Suppose -1230 = -5*m - j - 4*j, 5*m - 5*j - 1200 = 0. Calculate the remainder when m is divided by l.
47
Let h = 19897 + -18235. What is the remainder when h is divided by 1656?
6
What is the remainder when 6159 is divided by 481/(-259)*(8 - 1) + 39?
23
Suppose 66*i = 61*i + 2*m + 104, 7*m + 14 = 0. What is the remainder when 1678 is divided by i?
18
Let z = 213 + -182. Let m(u) = u**3 - 13*u**2 - 10*u - 48. What is the remainder when z is divided by m(14)?
7
Let y = 3412 + -3397. Calculate the remainder when 643 is divided by y.
13
Let t(i) = i**3 - 27*i**2 + 49*i + 44. Let v be 27 + -2 - -4 - 4. What is the remainder when 89 is divided by t(v)?
13
Suppose -5*h - 7 = -3*b, -3*b + b = -8. Let k(t) = -t**3 + 17*t**2 + 12*t + 6. What is the remainder when k(0) is divided by (-1 + 0)*(h + -6)?
1
Let i be (2 - 6/9)*816. What is the remainder when 1079 is divided by i/85 - 3/(15/4)?
11
Let w = 5 + 34. Let q = w + -27. What is the remainder when (-3)/2*(-2726)/87 is divided by q?
11
Let i(u) = u**2 - 2*u + 6. Suppose 3*o - 304 = -2*o - 3*d, 0 = o + 5*d - 74. Calculate the remainder when i(-12) is divided by o.
56
Let j(k) = -76*k - 3226. Calculate the remainder when j(-78) is divided by 16.
14
Suppose -o = 5*d - 150, 0 = 5*d - 2*o - 212 + 47. Suppose 0 = 4*p + 5*n + 32, n + 22 = -2*p - 3*n. What is the remainder when d is divided by (p/2)/((-87)/986)?
14
Calculate the remainder when -1*5*(-4630)/50 is divided by 0/(-103) + 0 + 58.
57
Suppose 0 = 4*t + 2*f - 4, -5*t + 0*t = 4*f + 1. Let x(m) = -m**3 + 4*m**2 + 3*m + | {
"pile_set_name": "DM Mathematics"
} |
of s(-9)?
5
Let t be (-1)/6 + (-26)/(-12). Let h = t - -2. Suppose 2*x = 2*v - 0*x - 14, h*v - 5*x = 31. What is the units digit of v?
4
Let l = -25 - -27. What is the units digit of l?
2
What is the units digit of 168/36*(7 + -1)?
8
Let d(f) = f**2 - 8*f - 6. Let r be d(9). Suppose r*x - 24 + 3 = 0. What is the units digit of x?
7
Let w(c) = -3*c**3 - 2*c**2 - 2*c - 1. Let o be w(-1). Suppose -s = -o*s + 46. What is the tens digit of s?
4
Let z(f) = 2*f**2 - 7*f - 6. Let k be z(6). Suppose -2 = 2*o - k. What is the units digit of o?
1
Let l = -18 + 37. What is the units digit of l?
9
Let h(n) = -11*n**2 + 7*n - 7. Let d(i) = 7*i**2 - 5*i + 5. Let r(j) = 8*d(j) + 5*h(j). Let x(o) = -o**2 + 7*o. Let z be x(6). What is the units digit of r(z)?
1
Let c = 90 - 64. Suppose 0 = 5*n + 2*y - 172, -2*n - 4*y + 82 - c = 0. What is the tens digit of n?
3
Let i = -3 - -3. Let c be (-10)/3*6/(-4). Let r = i + c. What is the units digit of r?
5
Suppose -11 = -2*v - 3. Let c(o) = -o + 7. Let t be c(v). Let x(u) = -u**2 + 4*u - 2. What is the units digit of x(t)?
1
Let z(d) = -d**3 - 5*d**2 - d + 8. Let t be z(-6). Let k = t - -4. Suppose -5*a - 4*i + k = 0, -3*a + 11 = 5*i - 11. What is the tens digit of a?
1
Let a(w) = -w**3 + 9*w**2 + 10*w - 10. Let v be a(9). Let h = v - 53. What is the units digit of h?
7
Let m = 17 + -37. Let r be m/(-9) - (-6)/(-27). Suppose -3*w = -5*w + r. What is the units digit of w?
1
Let a(q) = -q**3 + 7*q**2 - 7*q. Let p be a(6). Let g be p/(-3) - (-5 - 0). Let v(f) = f**2 - 8*f + 8. What is the units digit of v(g)?
1
Suppose -s - 3*f + 54 = 0, 2*s + 2*s = 2*f + 230. Suppose -2*j + s + 36 = 5*m, -3*m + 3*j + 39 = 0. What is the units digit of m?
7
Let s(w) = -w**3 + 5*w**2 + 4*w + 1. Let n be s(4). Let d = 10 - n. Let g = -11 - d. What is the units digit of g?
2
Let w(a) = 8*a + 4. What is the tens digit of w(1)?
1
Let d be (6/18)/((-1)/(-63)). Let y = -2 + d. Suppose -2*f + 0*b = -5*b - y, -f + 23 = 2*b. What is the units digit of f?
7
Suppose -1 = -4*w + 3. Suppose 0 = 5*f + w - 6. What is the units digit of f?
1
Let f be 4/(-18) + 2/9. Suppose -2*c + 5*n = -4, c - 2*n + 0*n - 4 = f. What is the units digit of c?
2
Let k = -19 + 13. Suppose 8*s = 3*s + 15, 14 = -5*z - 2*s. Let f = z - k. What is the units digit of f?
2
Let f be 2 - (2 - 4 - 1). Suppose f*i + 9 - 34 = 0. Suppose i*b = 2*b + 12. What is the units digit of b?
4
Let n = -8 + 16. Suppose -n*h = -4*h - 4. What is the units digit of h?
1
Let j(l) be the first derivative of 13*l**6/120 + l**4/24 - l**3/6 + 3*l**2/2 + 1. Let h(b) be the second derivative of j(b). What is the units digit of h(1)?
3
Let p(i) = 2*i**2 + 8*i - 1. What is the units digit of p(-5)?
9
Suppose 15*g = 17*g - 236. What is the tens digit of g?
1
Let v = 95 + -40. What is the tens digit of v?
5
Suppose -3*x + 24 = x. Suppose -3*q - 5*u = -65, -2*q + x*u + 85 = u. Suppose 0 = 3*f + 3*m - q, 0*m = 5*f + 4*m - 49. What is the units digit of f?
9
Let k = 4 + -2. Let i(u) = 6*u**2 - u + 2. Let v be i(k). Suppose 4*j = 2*o + v, 0 = -3*o - 0*o. What is the units digit of j?
6
Suppose 0 = -5*c - 0*c + 355. Let i = 115 - c. Suppose 2*t - 2*g = 20, 3*g - i = -5*t + 5*g. What is the units digit of t?
8
Suppose 6*m - 3 = 15. What is the units digit of m?
3
Let p(i) = -i**2 + 6*i - 5. Let s be p(6). Let y(b) = -2*b - 7. What is the units digit of y(s)?
3
Suppose 4*x = -5*v + 37, -7 = -v - 4*x + 10. Suppose z - 4 = 0, v*i - 149 = -5*z + 176. Suppose -t - 6 = -l + 5, 0 = 5*l + t - i. What is the units digit of l?
2
Suppose -4*u + 2 = -2*k - 4, 2*u - 2 = 2*k. What is the units digit of u?
2
Let w(u) = 4*u**3 - 2*u**2 + 4*u - 11. Let k(h) = -11*h**3 + 5*h**2 - 11*h + 32. Let o(c) = 3*k(c) + 8*w(c). What is the units digit of o(0)?
8
Let z(u) = u**2 - 11*u + 13. Let t be z(10). Let c = t + 39. What is the units digit of c?
2
Let g(w) = -21*w + 1. Let i be g(1). What is the tens digit of (22/8)/((-5)/i)?
1
Let z = -19 - 75. What is the units digit of z/(-8) + 1/4?
2
Let c = 8 - 6. Suppose -g + c*d = d - 27, 4*g = 5*d + 107. What is the units digit of g?
8
Let a(h) = 4*h - 3*h - 2*h. Let w be a(-4). Suppose -3*d + 30 = 4*o, -5 - 7 = -4*d + w*o. What is the units digit of d?
6
Suppose 2*b = -2*i + 32, 2*i + 0*b = 5*b + 67. Let m = i + -14. What is the units digit of m?
7
Let r(l) = l**2 - 11*l - 14. What is the units digit of r(-9)?
6
Suppose 41 = 3*d + 5*z, -5*d + 20 = -d - 2*z. What is the units digit of d?
7
Let x = -1 - -30. What is the tens digit of x?
2
Suppose -1728 = 3*d - 11*d. What is the units digit of d?
6
Let k be 4/10 - (-52)/20. Suppose q + 22 = 4*q + j, -q + 4 = -k*j. Let z = q + -1. What is the units digit of z?
6
Suppose 0 = -3*z + 2 - 14, -5*z - 8 = 3*a. Suppose a*n + 12 = h, -n - 2*h = -3*h + 6. Let u = 5 + n. What is the units digit of u?
3
Suppose -3*k + 14 + 3 = -2*i, -3*k - 2*i + 1 = 0. Suppose h + k*q = 0, 3*h - 3*q = -2 - 10. Let j = h - -5. What is the units digit of j?
2
Suppose 7*n - 4*n = 111. What is the units digit of n?
7
Let r(p) = -2*p - 5. Let y be r(-4). Suppose 2*s - 4*u - 2 = -4, -5*s - y*u = -21. What is the units digit of s?
3
Let m(x) = 2*x. Let b be m(2). Let c be 54/10 + b/(-10). Suppose 0 = -j - 3*u - 6, -c*j + 8 = u - 32. What is the units digit of j?
9
Let v(b) = b. Let p(u) = -6*u + 6. Let q(o) = -p(o) - 5*v(o). What is the units digit of q(9)?
3
Let s(l) = l. Let v be s(1). Suppose 0 = 3*t - 10 + v. Let k = t + 4. What is the units digit of k?
7
Let b = -47 + 90. What is the tens digit of b?
4
Let j(b) = b**2 + 4*b + 1. Suppose 2 = -3*v + 2*y + 2*y, v - 5*y - 14 = 0. What is the tens digit of j(v)?
1
Let s(t) = -t**3 + 7*t**2 - 4*t - 8. Let a = -22 - -36. Let f = -8 + a. What is the units digit of s(f)?
4
Suppose 0 = -3*v + 5*v - 6. Suppose -c + v*u = 7*u - 25, 2*c - 2*u = 20. What is the units digit of c?
3
Let t = 51 + -31. Suppose 0 = 5*b - 0*l - 3*l - 45, 5*b = -2*l + t. Suppose 2*p - b = -4. What is the units digit of p?
1
Suppose g = 3*d + 66, 3*d + 2 - 68 = -g. What is the units digit of g?
6
Let m(x) = 11*x. Let y be m(-1). What is the units digit of 4/(-3)*(y - -2)?
2
Let o(b) = -b**3 + 7*b**2 + 9*b - 3. Let h be 76/10 - (-6)/15. Let m be o(h). Suppose 4*x - 3 - m = 0. What is the units digit of x?
2
Suppose -2*d + 110 = 5*h, 4*h - 4*d = 23 + 65. What is the units digit of h?
2
Let y = 0 - -4. Suppose -2*t = -0 - y. What is the units digit of t?
2
Let b(s) = -s - 1. Let a be b(-4). Let z be (-5)/(-15) + (-1)/a. Suppose z = x - 0 - 1. What is the units digit of x?
1
Suppose -120 = -3*g - 3*v, 3*g - v - 151 + 51 = 0. Suppose -2*o + g = 3*o. What is the units digit of o?
7
Let s(c) = c**3 - 24*c**2 + 33*c + 5. What is the hundreds digit of s(23)?
2
Let k(l) = -8*l**3 - 2*l**2 - 2*l - 1. Suppose 4*q - 10 = 2. Let m be (q/((-3)/2))/2. What is the units digit of k(m)?
7
Let n(w) be the third derivative of 0 + 4*w**2 + 0*w - 1/6*w**4 - 5/6*w**3. What is the tens digit of n(-4)?
1
Let w be (-5)/((-2)/1 + 1). Suppose 3*a - 4 = w, -3*a - 131 = 5*f. What is the units digit of 94/14 + (-8)/f?
7
Let u = -10 - -15. Suppose 0 = -u*l + 14 + 11, 0 = -5*o + 5*l + 15. Suppose 7 = 5*t - o. What is the units digit of t?
3
Let c = 227 - 59. What is the tens digit of c?
6
Suppose 4*t + 3*u - 63 = 96, 5*u + 155 = 5*t. Suppose 0*z = -4*z + t. What is the units digit of z?
9
Let z(y) = y**3 + 8*y**2 - 11*y - 9. Let q(o) = -o**2 - 5*o - 3. Let t be q(-6). What is the units digit of z(t)?
9
Let n(r) = r + 1. Let v(x) = -x - 8. Let h be v(-7). Let o be n(h). Suppose o*y - 40 = -4*s - 4*y, 5*y - 14 = -s. What is the units digit of s?
9
Suppose 4*b = 6*b - 2. Suppose a = 5*s + 18, 3*a - 6 + 0 = 3*s. What is the tens digit of b + 9 - (0 + a)?
1
Let u(w) = 5*w + 3. Let a be u(3). Let n be (a/15)/(2/10). What is the units digit of (-18)/12*(-4)/n?
1
Let l(r) be the second derivative of -r**3/6 + r**2 - 2*r. Let g be l(4). What is the units digit of 8 + 0 + g/2?
7
Suppose 2*l + 35 = -5*b + 4*l, 2*b + l = -5. Let v = b + 8. What is the units digit of (2 + 2)/(-1 + v)?
2
Let c(v) = 5*v**3 + 0*v + 5*v**2 - 6*v**3 - v + 6. Let n be c(5). What is the units digit of (1/n)/(1/3)?
3
Let b(n) = -n**3 - 12*n**2 + 12*n - 9. Suppose 0 = -5*a + 3*o - 65, 5*a + 4*o + 51 + 14 = 0. What is the units digit | {
"pile_set_name": "DM Mathematics"
} |
3 (base 16) to base 12
3
-4 (base 9) to base 15
-4
Convert -10101000 (base 2) to base 16.
-a8
201 (base 3) to base 15
14
Convert -10 (base 3) to base 2.
-11
What is -2 (base 6) in base 8?
-2
What is -36 (base 7) in base 2?
-11011
6 (base 10) to base 2
110
310 (base 7) to base 8
232
What is 22 (base 3) in base 7?
11
1 (base 5) to base 4
1
Convert -3d (base 14) to base 3.
-2001
-242 (base 6) to base 13
-77
What is 0 (base 7) in base 4?
0
3 (base 16) to base 6
3
-100 (base 7) to base 14
-37
What is 10a (base 11) in base 6?
335
What is -33 (base 6) in base 15?
-16
Convert -65 (base 16) to base 13.
-7a
Convert 42 (base 7) to base 6.
50
Convert -2 (base 11) to base 4.
-2
Convert 11110001 (base 2) to base 6.
1041
What is 3 (base 8) in base 12?
3
103 (base 8) to base 13
52
What is -55 (base 15) in base 3?
-2222
What is -1 (base 4) in base 2?
-1
-53 (base 11) to base 16
-3a
What is 36 (base 11) in base 9?
43
3 (base 8) to base 6
3
-2211 (base 3) to base 11
-6a
What is 102 (base 3) in base 8?
13
-401 (base 6) to base 10
-145
Convert 5 (base 14) to base 8.
5
Convert 1 (base 11) to base 16.
1
-9a (base 11) to base 8
-155
What is 101 (base 8) in base 16?
41
Convert 10012 (base 3) to base 10.
86
Convert 3 (base 5) to base 8.
3
-33 (base 5) to base 14
-14
What is 11 (base 4) in base 15?
5
-100 (base 6) to base 4
-210
Convert 1113 (base 5) to base 13.
c2
Convert 12 (base 9) to base 16.
b
-16 (base 16) to base 14
-18
Convert 3 (base 14) to base 16.
3
Convert 87 (base 16) to base 14.
99
What is -320 (base 4) in base 15?
-3b
Convert -112 (base 8) to base 11.
-68
What is -1111 (base 3) in base 12?
-34
Convert -4 (base 8) to base 3.
-11
Convert -1 (base 11) to base 15.
-1
3 (base 9) to base 3
10
Convert -1 (base 12) to base 16.
-1
Convert 100011 (base 2) to base 12.
2b
-3 (base 16) to base 2
-11
11 (base 3) to base 6
4
What is 66 (base 16) in base 7?
204
-2 (base 9) to base 5
-2
What is -102 (base 4) in base 10?
-18
Convert 1 (base 9) to base 14.
1
Convert 3 (base 10) to base 14.
3
Convert -154 (base 15) to base 13.
-1a5
-520 (base 6) to base 7
-363
Convert 120 (base 5) to base 3.
1022
Convert 133 (base 5) to base 12.
37
Convert 24 (base 12) to base 14.
20
Convert 200 (base 3) to base 13.
15
What is -3 (base 4) in base 3?
-10
Convert -3 (base 7) to base 3.
-10
What is 5 (base 14) in base 10?
5
What is -7 (base 14) in base 10?
-7
Convert -2 (base 11) to base 16.
-2
122 (base 3) to base 11
16
What is 2 (base 13) in base 11?
2
-100 (base 6) to base 10
-36
What is 4 (base 10) in base 15?
4
What is -12002 (base 3) in base 4?
-2021
What is -37 (base 10) in base 4?
-211
Convert 0 (base 4) to base 7.
0
What is 0 (base 12) in base 6?
0
What is 74 (base 14) in base 15?
6c
What is -13 (base 9) in base 2?
-1100
What is -2 (base 3) in base 11?
-2
What is 21 (base 3) in base 6?
11
-25 (base 8) to base 9
-23
What is 4 (base 12) in base 3?
11
-d (base 16) to base 8
-15
What is a (base 16) in base 8?
12
0 (base 16) to base 13
0
What is -65 (base 9) in base 15?
-3e
What is 10 (base 8) in base 16?
8
84 (base 12) to base 2
1100100
What is -111 (base 7) in base 6?
-133
What is -4 (base 14) in base 3?
-11
What is 222 (base 5) in base 4?
332
Convert 103 (base 12) to base 16.
93
Convert 13 (base 5) to base 11.
8
Convert 0 (base 6) to base 12.
0
-11 (base 8) to base 12
-9
-1112 (base 4) to base 9
-105
What is 155 (base 7) in base 3?
10022
What is 5 (base 11) in base 8?
5
Convert -21020 (base 3) to base 12.
-143
0 (base 15) to base 3
0
What is 128 (base 10) in base 2?
10000000
11100 (base 2) to base 5
103
Convert -1220 (base 3) to base 15.
-36
-1 (base 4) to base 12
-1
Convert 50 (base 13) to base 7.
122
What is 10 (base 2) in base 14?
2
211 (base 5) to base 4
320
Convert -2 (base 13) to base 6.
-2
What is -91 (base 13) in base 4?
-1312
2 (base 8) to base 11
2
-22 (base 9) to base 8
-24
64 (base 14) to base 2
1011000
-15 (base 12) to base 5
-32
-320 (base 7) to base 9
-188
20 (base 7) to base 3
112
226 (base 12) to base 15
163
Convert -102 (base 4) to base 11.
-17
What is -100001 (base 2) in base 8?
-41
2121 (base 4) to base 13
ba
What is 3 (base 14) in base 8?
3
Convert -21 (base 11) to base 16.
-17
cb (base 14) to base 5
1204
-144 (base 8) to base 5
-400
13 (base 7) to base 14
a
What is -4 (base 14) in base 9?
-4
What is -1211 (base 5) in base 14?
-cd
Convert -107 (base 8) to base 13.
-56
What is 3 (base 4) in base 3?
10
What is 3 (base 6) in base 12?
3
-233 (base 7) to base 10
-122
Convert -2 (base 3) to base 11.
-2
-72 (base 9) to base 12
-55
-7 (base 15) to base 4
-13
1 (base 3) to base 12
1
What is 11 (base 7) in base 3?
22
Convert 1 (base 16) to base 5.
1
Convert 2 (base 10) to base 6.
2
Convert 50 (base 12) to base 5.
220
9a (base 12) to base 13
91
Convert -11 (base 12) to base 10.
-13
-4 (base 7) to base 4
-10
Convert 24 (base 13) to base 7.
42
11 (base 16) to base 3
122
-1033 (base 6) to base 10
-237
-1 (base 7) to base 6
-1
36 (base 10) to base 9
40
What is 407 (base 9) in base 8?
513
Convert 5 (base 8) to base 16.
5
What is 100 (base 5) in base 4?
121
What is -18 (base 9) in base 3?
-122
Convert 1121 (base 3) to base 13.
34
What is -53 (base 6) in base 10?
-33
What is -2 (base 8) in base 14?
-2
Convert -b8 (base 13) to base 5.
-1101
25 (base 6) to base 14
13
Convert d0 (base 15) to base 4.
3003
41 (base 7) to base 8
35
What is 1011 (base 2) in base 4?
23
What is -1 (base 7) in base 8?
-1
Convert -7 (base 10) to base 13.
-7
What is -2 (base 14) in base 16?
-2
-86 (base 16) to base 4
-2012
-20 (base 3) to base 9
-6
Convert 4 (base 9) to base 16.
4
-b (base 12) to base 9
-12
1 (base 3) to base 14
1
What is 2 (base 12) in base 11?
2
151 (base 12) to base 16
cd
What is 1013 (base 4) in base 11?
65
What is -61 (base 8) in base 2?
-110001
8 (base 14) to base 13
8
Convert -11 (base 5) to base 15.
-6
What is -3a (base 15) in base 9?
-61
Convert -3 (base 7) to base 3.
-10
-1a (base 11) to base 14
-17
Convert 2 (base 6) to base 8.
2
-100010111 (base 2) to base 9
-340
What is b (base 15) in base 6?
15
What is -2 (base 10) in base 5?
-2
What is 4 (base 5) in base 8?
4
What is -11 (base 15) in base 2?
-10000
-59 (base 10) to base 8
-73
Convert 16 (base 16) to base 3.
211
Convert -2 (base 6) to base 2.
-10
-302 (base 5) to base 14
-57
Convert -111 (base 10) to base 16.
-6f
6 (base 7) to base 10
6
-107 (base 10) to base 12
-8b
Convert -4 (base 7) to base 15.
-4
Convert 0 (base 14) to base 11.
0
-6 (base 11) to base 16
-6
4 (base 7) to base 13
4
What is -12 (base 7) in base 16?
-9
What is -103 (base 6) in base 15?
-29
What is -15 (base 12) in base 9?
-18
Convert 201 (base 4) to base 9.
36
What is 0 (base 13) in base 15?
0
-32 (base 6) to base 9
-22
Convert -3 (base 12) to base 13.
-3
Convert 34 (base 12) to base 10.
40
What is 27 (base 10) in base 9?
30
What is -3 (base 16) in base 6?
-3
Convert 1 (base 4) to base 13.
1
Convert 1 (base 7) to base 13.
1
What is -1001100 (base 2) in base 7?
-136
324 (base 7) to base 11
140
-2121 (base 3) to base 9
-77
Convert 1d (base 16) to base 6.
45
Convert -34 (base 5) to base 11.
-18
What is -1000011 (base 2) in base 13?
-52
Convert -8 (base 11) to base 12.
-8
Convert -cb (base 13) to base 4.
-2213
-5 (base 8) to base 5
-10
-2 (base 8) to base 5
-2
-2 (base 8) to base 7
-2
-27 (base 15) to base 9
-41
-a (base 15) to base 7
-13
What is -4 (base 11) in base 3?
-11
What is -102 (base 5) in base 3?
-1000
Convert 13 (base 8) to base 7.
14
Convert -3 (base 13) to base 9.
-3
28 (base 11) to base 3
1010
-69 (base 12) to base 9
-100
32 (base 4) to base 14
10
Convert 7 (base 9) to base 16.
7
What is 2b (base 14) in base 8?
47
What is 15c (base 14) in base 6?
1142
What is 1a (base 14) in base 16?
18
-1 (base 2) to base 15
-1
What is -174 (base 9) in base 12?
-104
-32 (base 13) to base 8
-51
3 (base 9) to base 6
3
What is 1a0 (base 11) in base 9?
276
What is 102 (base 5) in base 3?
1000
What is 15 (base 12) in base 9?
18
Convert 110 (base 3) to base 7.
15
0 (base 8) to base 11
0
Convert 0 (base 3) to base 12.
0
Convert -5 (base 12) to base 9.
-5
What is 1100 (base 2) in base 7?
15
71 (base 14) to base 6
243
What is 244 (base 7) in base 13?
a0
Convert -2 (base 15) to base 16.
-2
153 (base 8) to base 14
79
Convert -22 (base 7) to base 9.
-17
Convert -70 (base 16) to | {
"pile_set_name": "DM Mathematics"
} |
*28. Suppose 2*o = 2*g - y, 0*o + 4*o - 3*g = -7871. Round o to the nearest 100.
-2000
Let i(a) be the second derivative of -19*a**3/6 + 3*a**2/2 - 2*a. Let c be i(5). Round c to the nearest ten.
-90
Let m = -2215.92537 - -2196.927. Let v = m - -19. What is v rounded to 4 decimal places?
0.0016
Let w = -19224.87 - -19148. Let j = 78 + w. What is j rounded to 1 dp?
1.1
Suppose 3*p = 1062 - 228. Suppose -4*q + p = 2*d, 0 = -d - 2*d + 3*q + 381. Let j be (-1)/(-4) - d/(-4). Round j to the nearest ten.
30
Let c = -0.03 - 0. Let v = 0.02999989 + c. Round v to seven dps.
-0.0000001
Let o = -540.29 + 532. Let g = -32.59 - -32. Let j = g - o. What is j rounded to the nearest integer?
8
Let h = -147870439 + 147870436.30000019. Let x = -33 + 35.7. Let l = x + h. Round l to seven dps.
0.0000002
Suppose 3*v + 0*v - 273000 = 0. What is v rounded to the nearest 10000?
90000
Let q = -12.09732 + 12.1. Round q to 4 decimal places.
0.0027
Let s = 16.99999987 + -17. What is s rounded to 7 dps?
-0.0000001
Let r = -7 + 6.72. Let u = r - -0.313. Round u to two decimal places.
0.03
Let s be 1/4 - (-188)/16. Suppose 4*i = -2*h - s, h - 12 = -h + 4*i. Suppose -2*n - n + 690 = h. What is n rounded to the nearest one hundred?
200
Suppose -316 = -0*v + 4*v. Let l be -3 - -61*(v + 2). What is l rounded to the nearest 1000?
-5000
Let j = -310.63 - -294.637. Let i = -13.4 - 2.6. Let l = i - j. Round l to two dps.
-0.01
Let j = -9.49864 + 9.5. What is j rounded to 4 decimal places?
0.0014
Let g(t) = -1498*t - 16. Let l be g(8). What is l rounded to the nearest ten thousand?
-10000
Let n = -0.2 + 0.2. Let s = n - 0. Let h = s - 0.0008. Round h to three decimal places.
-0.001
Let u be 4/(-8)*-74 - 4. Round u to the nearest 10.
30
Let p = 22 - 22.000056. What is p rounded to 5 decimal places?
-0.00006
Suppose -3*l - 1676 = -5*l. Let r be l - 0 - (-4 - -2). Round r to the nearest 100.
800
Let d = -3 + 3. Suppose d + 6 = 3*k. Let r be (-20998)/(k/2) + -2. What is r rounded to the nearest 10000?
-20000
Suppose 0 = -0*s + 5*s - 645. Let y = -73 + s. Let p be 6/((-174)/y - -3). What is p rounded to the nearest 10?
-60
Let q(u) = -15201*u - 5. Let b(w) = -w + 2. Let k be b(-7). Suppose 3*d - k = 4*j + 14, 4*j - 5*d + 25 = 0. Let c be q(j). Round c to the nearest 10000.
80000
Let q = 146 - 145.666. Let l = 8 + -7.976. Let b = l - q. What is b rounded to 1 decimal place?
-0.3
Let t = 8 + 6.5. Round t to 0 dps.
15
Let d be 3 - (0 + 1) - 68. Let h be d/(-15) - (-2)/(-5). Suppose -h*u - 34000000 = u. Round u to the nearest 1000000.
-7000000
Let u = 2259072 + -1567646. Suppose 5*d - 2*v + u = v, -3*d - 414846 = 3*v. Let p = d + 79284. Round p to the nearest ten thousand.
-60000
Suppose -2 = -q - q. Let d be 1*q/3*15. Suppose 640001 = 2*x - 0*i + i, 2*i = -d*x + 1600002. Round x to the nearest 100000.
300000
Let p(l) = -2*l**3 - l**2 + 1. Let i be p(-1). Suppose i*t + 0*z + z = 15, 2*t = 3*z - 5. Suppose t*w - w = -232. What is w rounded to the nearest 10?
-60
Suppose 3*o = -3*y + 22594932, -30510005 = -4*o + 4*y - 383389. Let s = -3636320 - 795329. Let d = s + o. Round d to the nearest one million.
3000000
Let t = -2.799981 + 2.8. Round t to six dps.
0.000019
Let d = -337.49 + 342. Round d to one decimal place.
4.5
Let o = 0.0135 + -0.0726. Round o to two dps.
-0.06
Let j = 4.9 - -1.1. Let s = 16682 - 16688.00006. Let m = s + j. Round m to 5 dps.
-0.00006
Let l(i) = 4*i - 4. Let h(y) = 5*y - 4. Let p(t) = -5*h(t) + 6*l(t). Let k be p(-6). Let q be 200001/k + 2/(-4). What is q rounded to the nearest 1000000?
0
Let d = -2.24 + 2.5. Let q = -0.91 + d. What is q rounded to one dp?
-0.7
Let d = -1.27 - -55.27. Let y = d + -54.00000054. What is y rounded to seven dps?
-0.0000005
Let n = -21.6 + 2.6. Let k = 16 + -8.7. Let t = n + k. Round t to the nearest integer.
-12
Let u = 20.000192 - 20. Round u to five decimal places.
0.00019
Suppose 5*y + m + 213 = 3012, -4*y + m = -2241. What is y rounded to the nearest one hundred?
600
Let t = -10 + 19. Let j = t + -7. Let b = 1.996 - j. Round b to 2 dps.
0
Let a = -188 - -188.0000158. What is a rounded to 6 dps?
0.000016
Let l = -26639.663 - -26627. Let w = -83 + 70.4. Let c = w - l. What is c rounded to 2 dps?
0.06
Let x = -259.9 - -224.116. Let j = 36 + x. Round j to 2 dps.
0.22
Let o be 5712 + -1*2/1. Suppose 2*j + 1890 = -o. What is j rounded to the nearest 1000?
-4000
Let z = 24.9 + -24. What is z rounded to zero decimal places?
1
Let m = -32.892949 - -36.2929544. Let w = m - 3.4. Round w to six dps.
0.000005
Suppose 0 = 4*m - m - 39900. What is m rounded to the nearest one thousand?
13000
Let b = 282876216 + -157446049. Let x = b + -125430227.000049. Let k = x - -60. Round k to 5 decimal places.
-0.00005
Let j = -14.3 - -0.3. Let x = -14.00045 - j. What is x rounded to four decimal places?
-0.0005
Let l = -12.79 + -0.21. Let o = 27.625248 + -40.6254. Let v = o - l. What is v rounded to five dps?
-0.00015
Let d = 1257.919 + -1285.9. Let f = d - -28. Round f to three decimal places.
0.019
Let p = -31.36 - -31. Round p to 1 decimal place.
-0.4
Let w = 154471.9876 - 154427. Let o = w - 45. Round o to three dps.
-0.012
Let m(j) = -10*j**2 - 6*j - 10. Let o be m(-5). Round o to the nearest ten.
-230
Let g(h) = -1499999*h**2 + h - 2. Let m be g(-2). What is m rounded to the nearest one million?
-6000000
Let x = 8172 + -5772. Round x to the nearest one hundred.
2400
Let u = -2 - -3. Let k be u/((-3)/(-6)) - -2. Suppose 0 = k*z + y - 3031 - 7366, 0 = -4*y - 12. What is z rounded to the nearest one thousand?
3000
Let v = 5 - 4.81. Let h = -0.18948 + v. What is h rounded to 4 decimal places?
0.0005
Let q = -0.035 + 11.535. Let n = q + -11. Let t = 0.499904 - n. Round t to five dps.
-0.0001
Let h = 870.41 - 874. What is h rounded to the nearest integer?
-4
Let v(t) = 2*t - 10 - 3*t**2 + 20*t**3 + 2 - 13*t**3. Let j be v(-8). What is j rounded to the nearest 1000?
-4000
Let b = -68707 - -233707. Round b to the nearest ten thousand.
170000
Let y = 50.17 + -1.17. Let x = 25 - y. Let i = x - -24.0088. What is i rounded to 3 dps?
0.009
Let j(r) = 269993*r**3 - r**2 + 6*r. Let a(q) = -q**3 + q. Let p(b) = 6*a(b) - j(b). Let n be p(-1). Round n to the nearest one hundred thousand.
300000
Let g = 7452.27897 - 7458.53. Let l = 0.45923 + g. Let f = l + 5.8. What is f rounded to 3 dps?
0.008
Let k = -4 - -2. Let h = k + 0.9. What is h rounded to one dp?
-1.1
Let c = 3 - 7. Let t = 3.999965 + c. What is t rounded to five decimal places?
-0.00004
Let b(m) = 4*m**2 - 7*m + 2. Let u be b(-5). Suppose -5*v - 163 = -538. Let k = v - u. What is k rounded to the nearest ten?
-60
Let m = -0.1 - 2.7. Let q = m - -2.79981. What is q rounded to 4 decimal places?
-0.0002
Let h = -2990660534.3 - -2854820130. Let o = 135840435.30000068 + h. Let u = o + -31. What is u rounded to seven decimal places?
0.0000007
Let f = -16.8 + 15. Let p = -8.9 - f. Round p to the nearest integer.
-7
Let c = -6.903 - -7.23. What is c rounded to two decimal places?
0.33
Let j = -1549988 - -1549982.999988. Let u = 5 + j. What is u rounded to 5 dps?
-0.00001
Let u(t) be the third derivative of t**4/12 - t**3 - t**2. Let j be u(6). Let l be 208/j*(79 - 4). Round l to the nearest one thousand.
3000
Let j = -15829.9998 + 15826. Let a = 3 - -1. Let y = j + a. What is y rounded to 3 dps?
0
Let y = -7 + 6.68. Let c = y + 0.32000031. What is c rounded to 7 dps?
0.0000003
Let f(g) = -819999*g + 3. Let i be f(-4). Suppose i = -4*d - t, d + 671943 = -2*t - 148055. Round d to the nearest 100000.
-800000
Let h = -1171.8291 + 1172.3. Let d = -18.5391 - h. Let w = -20.4 - d. What is w rounded to one decimal place?
-1.4
Let r = -0.1935 + 0.2. Round r to 3 decimal places.
0.007
Let g = -0.11 + 139.11. Let l = g - 138.99901. Round l to 4 decimal places.
0.001
Let s = 0 + 0.1. What is s rounded to one decimal place?
0.1
Let d be (-116)/145 + (-15204)/(-5). Round d to the nearest 100.
3000
Let a(f) = -3*f**2 + 10*f + 22. Let s be a(-18). Round s to the nearest 100.
-1100
Let s = -6 - -9. Suppose s*y = 4*y - 100000. What is y rounded to the nearest 100000?
100000
Suppose -2*w + 3*w - 11488 = -5*i, -2*i + 4592 = 2*w. Let d = i - -2202. Round d to the nearest one thousand.
5000
Let r = -5.9 - -6. Let p = -0.1000005 + r. Rou | {
"pile_set_name": "DM Mathematics"
} |
(4*z - 3*z + z)*(-2 + 5 - 2)*(-24*z**2 + 181*z - 181*z) in the form a*z**2 + f + b*z**3 + t*z and give b.
-50
Rearrange 29*r + 49 + 35*r - 49 to s*r + w and give s.
64
Express (-3*g - 2*g + 4*g)*((-2 + 1 + 2)*(-5*g + 1 - 1) - 2*g + g + 4*g) as c*g + w + s*g**2 and give s.
2
Rearrange 5*n + 1 - 2 - 4 + 6 to the form m + u*n and give u.
5
Express (4 - 4 + 18*m)*(4 - 1 + 0) as r*m + n and give r.
54
Express -8*n**3 - n**2 + 2*n**2 + 6*n**3 - 4 + 2 as y + o*n + g*n**2 + c*n**3 and give g.
1
Rearrange (-16*f + 13*f - 16*f)*(1 - 3 + 0)*(2 - 2*f - 2) to the form z*f + o*f**2 + v and give o.
-76
Express -5*o + 0 - 2*o**2 - 6 + 6 in the form x*o + y + i*o**2 and give i.
-2
Rearrange -c - 4 - c - 2*c**2 - 3 + 3 to the form z*c + y + n*c**2 and give y.
-4
Rearrange (-47 + 14 + 25)*(q**2 - 4*q**2 + 2*q**2)*(-2*q**2 + q**2 + 0*q**2) to f*q**4 + p + x*q**3 + k*q**2 + t*q and give f.
-8
Express 574 - 2*y - 579 - 2*y in the form q*y + n and give q.
-4
Express -7 + 8 + o**3 + 0 - 2*o**2 - 3*o**3 in the form n*o + y*o**2 + p + k*o**3 and give k.
-2
Express (3 - 1 + 0)*(-2*m - 2 + 2) + m - m - m + 2*m - 2*m + m in the form g + k*m and give k.
-4
Express 2*l + 7 + 1 - 3 + 2*l as c*l + j and give j.
5
Express 28*b**2 - 2 + 26*b**2 - 48*b**2 in the form v*b + h*b**2 + f and give f.
-2
Rearrange 11*w + 15*w - 22*w to the form j*w + u and give j.
4
Express (-2*j + 0*j + 3*j)*(2*j - 2*j**2 - 2*j - 3*j + 1) in the form g + r*j + w*j**3 + a*j**2 and give r.
1
Rearrange -a - 2*a**4 - 2*a + 4*a**4 + 4*a + a**2 + 1 - 4*a**3 to g*a + t + l*a**3 + k*a**2 + d*a**4 and give g.
1
Express (2*o**2 + 2*o**2 - 2*o**2)*(0*o**2 - o**2 - o**2) - 8*o**4 - 110*o**3 + 110*o**3 in the form s*o**3 + f*o**2 + j*o + x*o**4 + i and give x.
-12
Rearrange (0*o**2 - 2*o**2 + o**2)*(40 + 16*o - 38 - 6*o)*(4 + 2 - 1) to n*o**2 + v*o**3 + r*o + h and give v.
-50
Express -23*a - 238 + 238 in the form u*a + j and give u.
-23
Rearrange 5 - 1 + 2*j**2 - 2*j**4 - 1 + 3 - 2*j**3 to s*j**4 + b*j**3 + c*j**2 + y*j + z and give b.
-2
Express (2 - 3 - 4 + (0 + 3 - 1)*(2 - 3 + 3))*(h + 5*h**2 - 5*h**2 + h**2 + 16) in the form p*h + w*h**2 + d and give p.
-1
Rearrange (-3*r**2 + 0*r**2 + r**2)*(-16 + 29 - 8)*(0*r**2 + r**2 + 0*r**2) to the form y*r**4 + g*r + v*r**2 + u*r**3 + q and give y.
-10
Rearrange (u + u - 3*u)*(-4*u**3 + 5*u**3 + 0*u**3 + (-u**2 + 0*u**2 + 3*u**2)*(3*u - 5*u + 5*u)) to the form o*u**3 + l*u**2 + v*u**4 + j + z*u and give v.
-7
Express (4*w - 2*w - 4*w - 2)*(-4*w**2 + w**2 + w**2)*(-8 - 64 + 8) as b + c*w**3 + u*w**2 + j*w and give c.
-256
Express (8 - 2 + 6)*(0*v - 2*v + v) - v + v + 2*v + (3*v - 5*v + 3*v)*(2 + 3 - 4) in the form q + w*v and give w.
-9
Express 13*a**4 + a**3 - 2*a**2 - 2*a - 1 - 8*a**4 - 3*a**4 in the form c + z*a**3 + q*a**2 + n*a + l*a**4 and give l.
2
Express ((r + 2*r**2 - r)*(17 - 39 + 16) + r**2 - 2*r**2 - r**2)*(-1 + 4 + 0) in the form s*r + q + m*r**2 and give m.
-42
Express -4*z**2 - 5*z**3 + 2*z**2 + 4*z**2 - z**3 in the form a*z**3 + x*z + h + k*z**2 and give a.
-6
Express -1929 + 1929 - 6*b**2 + 6*b + (b - b + 2*b)*(0 + 0 + 2*b) as p*b + d*b**2 + s and give p.
6
Express 7*f**4 + 19*f**3 - 20*f**3 - 2*f + 4*f in the form q + m*f**2 + h*f**3 + l*f**4 + x*f and give x.
2
Rearrange (-3 + 3 - t)*(t - t - 9*t**2) + (3*t + 2*t - 3*t)*(0*t**2 + t**2 - 3*t**2) + 3*t - 3*t + 2*t**3 to the form h*t + v*t**2 + m + s*t**3 and give s.
7
Rearrange 10*u + 2*u**2 + 0*u**2 + u**3 - 18*u + 6*u + u**4 to c*u + o*u**3 + s + h*u**4 + y*u**2 and give c.
-2
Express 6*k - k**4 - 9*k**3 + k**3 + 7*k**3 as d*k**4 + z + s*k + w*k**3 + q*k**2 and give q.
0
Rearrange (3*t**2 - 5*t**2 - 3*t**2)*(4*t + t + 0*t)*(-3*t + 5*t - 4*t) to the form c*t**2 + a*t**3 + r + s*t**4 + g*t and give s.
50
Rearrange (-4*z**4 + 0*z**4 + z**4)*(2 + 0 - 1) - 4*z**4 - z**4 + z**4 - 5*z**4 + 2*z**4 + 4*z**4 to the form b*z + k*z**2 + a*z**4 + r + i*z**3 and give a.
-6
Rearrange -2*b + 6*b + 7*b to the form k*b + a and give k.
11
Express (-11 + 9 + 9)*((1 + 1 - 4)*(-l**4 + 0*l**4 - l**4) + l**4 + 5*l**4 - 4*l**4) as x + w*l**2 + b*l**3 + d*l**4 + v*l and give w.
0
Rearrange -6*j + 4*j + 6*j to the form b + w*j and give w.
4
Express (2*y - 2*y**2 - 2*y)*(-3*y + 3*y - 5*y**2) + 7*y**4 - 11*y**2 + 11*y**2 as h*y + x*y**3 + l*y**2 + r*y**4 + v and give r.
17
Rearrange -5 + 3*t - 3 + 1 - 15 to the form d + n*t and give n.
3
Rearrange 3*d**4 - 4*d**4 + 4*d**4 + (-4*d + 0*d - 6*d)*(2*d**3 - 3*d**3 - d**3) to the form i + o*d**3 + g*d + f*d**2 + s*d**4 and give s.
23
Rearrange (1 + 0*g - 2*g + g)*(-67*g**3 - 79*g**3 + 16*g**3) to the form x*g**3 + u*g**2 + o + h*g**4 + z*g and give h.
130
Rearrange 2*p**3 - 3 - 3*p**3 + 0*p**3 - 6 - p + p**2 to m*p + w + x*p**3 + j*p**2 and give j.
1
Express -s**2 - 3*s**2 + 11 + 4*s**3 + 2*s**2 - 3*s**3 as u*s + k*s**3 + p + f*s**2 and give f.
-2
Express -9*q - 6*q - q - 24*q as k + c*q and give c.
-40
Express 6*f**3 + 6*f**3 + 3*f**2 - 5*f**3 + 1 - 2*f - 5*f**3 as y*f + n*f**2 + j + t*f**3 and give j.
1
Rearrange -3*j + 6*j + 11 - j to f + b*j and give f.
11
Express 2*k**2 + 0*k**2 + 5 - k**2 as l + g*k + c*k**2 and give c.
1
Express (-15 - 27*v**2 + 15)*(-3 + 2 - 1)*(-1 + 3 + 0) + (-2*v + 2 - 2)*(3 - v - 3) in the form q*v + u + h*v**2 and give h.
110
Rearrange -110*g**2 + 146*g**2 - 2*g + g to the form t*g + u*g**2 + i and give t.
-1
Express -8*q - 4*q + q in the form w + p*q and give p.
-11
Express (-1 + 1 - 2*p)*(-2*p - 2*p - 3*p) + (0*p - 3*p + 2*p)*(2*p - 2*p - 2*p) in the form k*p**2 + n*p + l and give k.
16
Express (-6 + 16 + 2)*(-5 + 6 - 2 - 2*x**2) as g*x**2 + j*x + d and give j.
0
Express -8*b**3 + 9*b**2 - 1 - 9*b**2 + (5*b**3 + 8*b**3 - 16*b**3)*(1 - 2 + 3) in the form p*b + j + o*b**2 + z*b**3 and give j.
-1
Express (-74*b**2 + 608*b - 608*b)*(-3 + 3 - 2*b)*(2 - 2 - 2*b) + (b - b - b**2)*(3 + 2*b**2 - 3) in the form f + g*b**4 + z*b**3 + q*b + w*b**2 and give g.
-298
Rearrange 18*h - 15*h - 34*h to the form y*h + d and give y.
-31
Express -5*i - 3*i + 0*i - 5*i in the form s + p*i and give p.
-13
Express 12*r**3 - 3*r**3 - 10*r**3 + 7*r as i*r**2 + a*r**3 + h + j*r and give a.
-1
Express (-3 - 1 + 0)*(7*w - 10 + 10) in the form t*w + v and give t.
-28
Rearrange (0*w**2 + 10*w**2 - 4*w**2)*(7 - 7 - 5*w**2) - 3*w**4 + 3*w**4 - w**4 to the form k*w**3 + y + r*w**2 + f*w + b*w**4 and give b.
-31
Express 6*h + h - 30*h - 26*h as r*h + v and give r.
-49
Express -82*a**2 + 4*a + 0 - 2 + 87*a**2 in the form v*a + p*a**2 + l and give p.
5
Express -6*y + 2*y + 5*y + (3 + 1 - 5)*(-9*y - 10 + 10) as k*y + f and give k.
10
Express 2*s - s - 17*s**3 + s in the form o + w*s**3 + x*s**2 + c*s and give w.
-17
Rearrange 74*i - 14 + 78*i - 150*i to the form a + q*i and give q.
2
Express 8*u + 6 + u**3 - 6*u - 3 as g*u**2 + q*u + d*u**3 + j and give q.
2
Rearrange -4 - u**4 + u**2 - 7*u + 1 + 1 + 0 + 2*u**3 to the form z*u + k*u**2 + n*u**4 + i*u**3 + c and give n.
-1
Express -6*a - 9 + 4 + 7 as f*a + l and give l.
2
Express -18*o + 5*o**2 + 3*o**3 - 4*o**3 + 17*o + o**4 - 3*o**2 in the form m + p*o**2 + j*o**3 + b*o**4 + d*o and give b.
1
Express 19*x - 9 + 9 as c + n*x and give n.
19
Rearrange (q + 2*q - 4*q)*(-2 - 3 + 6)*(-1 + 1 - 2) - q + 2*q - 6*q to d*q + y and give d.
-3
Express 0*y**2 + 2 - 3 - 3*y**3 + 2*y**3 - y**2 as w + z*y + d*y**3 + p*y**2 and give p.
-1
Rearrange -3 + g + 6 + 0*g + g**2 + g**3 to the form a*g**3 + i*g**2 + f + o*g and give a.
1
Express (2*b**2 - 12*b**2 + 21*b**2)*(2*b**2 + b**2 - b**2) as m*b**4 + g*b + h + r*b**2 + v*b**3 and give h.
0
Express 6587 + g + 8*g**2 - 6587 + 2*g**4 as a + r*g**4 + q*g + z*g**3 + t*g**2 and give r.
2
Express -a**2 - 22*a**2 + 2 - 3 - 9*a**2 in the form n + r*a**2 + o*a and give r.
-32
Express -9*o + o + o**2 - o in the form f + h*o**2 + s*o and give h.
1
Express -3 + g**4 - 2*g**2 - 6*g**4 - 2*g**3 + 0*g**4 + 6*g**4 as s*g**4 + y*g**2 + w + l*g**3 + z*g and give w.
-3
Express -20*d + 109 - 109 in the form y*d + o and give y.
-20
Express (6 + 1 - 5)*(0*z - 3*z + z)*(z + 0 + 0 + (2*z - 1 + 1)*(0 - 8 - 1)) as g*z**2 + q + h*z and give g.
68
Rearrange (2*z**2 - 2*z + 2*z)*(-2*z + 2*z + 4*z) - z**3 + 2*z**3 + 2*z**3 to c + m*z**3 + p*z + s*z**2 and give m.
11
Express v**2 + 1 + 3*v**2 - 2 + 2*v**2 in the form u*v**2 + q*v + a | {
"pile_set_name": "DM Mathematics"
} |
4, 2, -3, -4
Put 1, 39, 2, 5, -2 in descending order.
39, 5, 2, 1, -2
Sort -0.014, 1/11, -2/9, -0.4 in increasing order.
-0.4, -2/9, -0.014, 1/11
Put 1, -1, -4, 6, -5/4 in ascending order.
-4, -5/4, -1, 1, 6
Put -67, -1/7, 53/4 in decreasing order.
53/4, -1/7, -67
Sort -6, 0, -12.
-12, -6, 0
Put 3/5, 145/3, -4, 4/5, 3 in descending order.
145/3, 3, 4/5, 3/5, -4
Put 2, 3, -4, 314 in decreasing order.
314, 3, 2, -4
Sort 5, 4, -17, 0 in ascending order.
-17, 0, 4, 5
Put -18, -2, -17 in descending order.
-2, -17, -18
Sort 3/56, 2/3, 1/3, 3, 4 in increasing order.
3/56, 1/3, 2/3, 3, 4
Sort -0.1, -7, -52, 0.2 in descending order.
0.2, -0.1, -7, -52
Sort -20, 1, -6.
-20, -6, 1
Sort 1, 0, 2, 41.
0, 1, 2, 41
Sort 1, 487, 5 in increasing order.
1, 5, 487
Sort -10, 3, 16.
-10, 3, 16
Sort -0.1, -15, 6, -0.4 in increasing order.
-15, -0.4, -0.1, 6
Sort 1, -4, -6, 5, -1 in descending order.
5, 1, -1, -4, -6
Put 2/3, -3/8, -5, -6, 1.2 in decreasing order.
1.2, 2/3, -3/8, -5, -6
Sort 1/12, 1/15, -12 in decreasing order.
1/12, 1/15, -12
Sort 2, -16, 5, -5 in decreasing order.
5, 2, -5, -16
Sort -1/2, -0.08, -0.7.
-0.7, -1/2, -0.08
Sort 1, -253, 2.
-253, 1, 2
Put -54, 3, 2 in ascending order.
-54, 2, 3
Put -2, -3, 4, -196 in decreasing order.
4, -2, -3, -196
Sort -10, 3, 109/6.
-10, 3, 109/6
Sort -2/9, 2/5, -2, -10 in decreasing order.
2/5, -2/9, -2, -10
Put -4/5, 1/38, -1/7, -5 in decreasing order.
1/38, -1/7, -4/5, -5
Sort -5, -3, -4, 2 in ascending order.
-5, -4, -3, 2
Put 4, 46, 3, 9 in ascending order.
3, 4, 9, 46
Put 0.6, 9, 0.06, -2/7, -4 in increasing order.
-4, -2/7, 0.06, 0.6, 9
Put -5, -53, -3, 3/4, 2/11 in decreasing order.
3/4, 2/11, -3, -5, -53
Sort 1, 2, 9, -5.
-5, 1, 2, 9
Sort -2/5, 0.4, -1/2.
-1/2, -2/5, 0.4
Sort -1, -9.48, -1/8, 4 in decreasing order.
4, -1/8, -1, -9.48
Put -2/3, -2, 0, -2/11 in increasing order.
-2, -2/3, -2/11, 0
Put 0.2, -2, 0.1, -1/4, 1/9 in descending order.
0.2, 1/9, 0.1, -1/4, -2
Sort -2/1129, 2, -0.2.
-0.2, -2/1129, 2
Put -4, -1, -2 in increasing order.
-4, -2, -1
Put -1, 0.4, -32, 43 in ascending order.
-32, -1, 0.4, 43
Sort -2, -102, 2/9, 3, -0.6.
-102, -2, -0.6, 2/9, 3
Put -4, -22, 4 in descending order.
4, -4, -22
Put 5, -4, 1, 12 in descending order.
12, 5, 1, -4
Sort -8, 4, -17 in decreasing order.
4, -8, -17
Sort -23/8, -3, -0.3, 0.4 in descending order.
0.4, -0.3, -23/8, -3
Put 8/3, -0.05, 0, -3/5 in descending order.
8/3, 0, -0.05, -3/5
Sort 3/7, 12, 1, -1/2.
-1/2, 3/7, 1, 12
Sort 3.6, -13, -38 in decreasing order.
3.6, -13, -38
Sort -1, -6/11, -0.5, -2/17, 4 in ascending order.
-1, -6/11, -0.5, -2/17, 4
Sort 2, 4, -3, -16.
-16, -3, 2, 4
Sort 0.6, -4, -3, -1, 28 in descending order.
28, 0.6, -1, -3, -4
Sort 0.4, 1/23, -0.2 in decreasing order.
0.4, 1/23, -0.2
Put 3, -5, 0, -5/2 in descending order.
3, 0, -5/2, -5
Put 7, -18, 1, -0.1, 0.18 in descending order.
7, 1, 0.18, -0.1, -18
Sort -2, 83, 5 in ascending order.
-2, 5, 83
Put -26, -3, -2/17, 1/7, 0.1 in descending order.
1/7, 0.1, -2/17, -3, -26
Put -3, 9, -4, -2 in increasing order.
-4, -3, -2, 9
Sort -10.3, -2/17, 0.3 in increasing order.
-10.3, -2/17, 0.3
Put -3, -0.5, 0.01 in descending order.
0.01, -0.5, -3
Sort 5, 5/7, -1/5, 7 in descending order.
7, 5, 5/7, -1/5
Put -160, -4, 8, 3 in decreasing order.
8, 3, -4, -160
Sort 22, 0, 253 in ascending order.
0, 22, 253
Sort 32.5, -1/5, 0.3 in decreasing order.
32.5, 0.3, -1/5
Sort 0.2, 1/2, 3.98, 0.4 in descending order.
3.98, 1/2, 0.4, 0.2
Sort -0.08, -5, 1, 0.0083 in descending order.
1, 0.0083, -0.08, -5
Put -2, -8, 10 in ascending order.
-8, -2, 10
Put 1, 31, -3, 0 in descending order.
31, 1, 0, -3
Put -0.5, -2, 0.0454 in decreasing order.
0.0454, -0.5, -2
Sort -1, 1, 92, -2, 4 in ascending order.
-2, -1, 1, 4, 92
Sort -3/7, -4, 0.088, 1/7 in decreasing order.
1/7, 0.088, -3/7, -4
Sort 2/5, -4.97, 0.
-4.97, 0, 2/5
Sort -5, 3, -3, 4, 0 in descending order.
4, 3, 0, -3, -5
Put 1, -39, 0, -5, -3 in decreasing order.
1, 0, -3, -5, -39
Put 82, -3, 3, 2 in ascending order.
-3, 2, 3, 82
Sort -1/14, 4, -14/3.
-14/3, -1/14, 4
Sort -1, 1, 2, -4.
-4, -1, 1, 2
Sort -5, 0.1, 25, 0 in decreasing order.
25, 0.1, 0, -5
Sort 3/4, 4, -2, 26.
-2, 3/4, 4, 26
Put -9, 113, -1, 0 in decreasing order.
113, 0, -1, -9
Sort -3, -4, -2, -6, 0.
-6, -4, -3, -2, 0
Put -127, -6/7, -0.2, -6 in increasing order.
-127, -6, -6/7, -0.2
Put 36, -3, -13, 1 in ascending order.
-13, -3, 1, 36
Sort 10, 0, -1/6, 1/9, 0.4 in decreasing order.
10, 0.4, 1/9, 0, -1/6
Sort 0, -16, -5, 2/11.
-16, -5, 0, 2/11
Put -4, -30, -7, 3 in increasing order.
-30, -7, -4, 3
Sort 3, 20/13, -5, 9.
-5, 20/13, 3, 9
Sort 2, -1, -40, -3, -4 in decreasing order.
2, -1, -3, -4, -40
Put -3, 4/5, -146, -0.5, -0.4 in decreasing order.
4/5, -0.4, -0.5, -3, -146
Sort 1/4, 5, -3, 22 in ascending order.
-3, 1/4, 5, 22
Put -3, -5/8, 0.2, -1/4 in decreasing order.
0.2, -1/4, -5/8, -3
Put -15, -2, 5, -1 in decreasing order.
5, -1, -2, -15
Put 57, 1/3, 0.2, -4 in descending order.
57, 1/3, 0.2, -4
Put 4/5, 0, -2/11, -5, -35 in ascending order.
-35, -5, -2/11, 0, 4/5
Sort -19, -4, 6 in ascending order.
-19, -4, 6
Sort -0.1, 2/35, -0.3 in descending order.
2/35, -0.1, -0.3
Put 16, -1, 0.0427 in ascending order.
-1, 0.0427, 16
Sort 0.02, 173, 7 in descending order.
173, 7, 0.02
Sort -3, -9, -12, -4, 2 in decreasing order.
2, -3, -4, -9, -12
Sort 0, -1, -2.9, -2/9, -1/6 in decreasing order.
0, -1/6, -2/9, -1, -2.9
Sort 4, 1, -31 in ascending order.
-31, 1, 4
Sort -0.5, 18, 0.01 in descending order.
18, 0.01, -0.5
Sort -5, -14, -26 in decreasing order.
-5, -14, -26
Sort -0.4, 16, -4, 0.4 in descending order.
16, 0.4, -0.4, -4
Put -1/7, -3, 0, 0.04, -3/13 in decreasing order.
0.04, 0, -1/7, -3/13, -3
Put -5, -1, -29 in decreasing order.
-1, -5, -29
Put 1.48, -0.2, 1, -2, 4 in decreasing order.
4, 1.48, 1, -0.2, -2
Sort 3, 372, -17 in increasing order.
-17, 3, 372
Sort -2, -4, 4, 185.
-4, -2, 4, 185
Put -10, 5, 2 in ascending order.
-10, 2, 5
Sort 1, 10, -40, 3.
-40, 1, 3, 10
Sort -3, 0, 341 in ascending order.
-3, 0, 341
Sort -2, -608, -5, -1, 2 in descending order.
2, -1, -2, -5, -608
Sort -0.06, -0.2, 1/5, 0.07, -0.4 in increasing order.
-0.4, -0.2, -0.06, 0.07, 1/5
Put -5, -318, 2/3, -1/4 in ascending order.
-318, -5, -1/4, 2/3
Sort 5, 191, -2 in descending order.
191, 5, -2
Sort -1/7, 3/7, 2/5, 114, -1 in descending order.
114, 3/7, 2/5, -1/7, -1
Put 3, 0, -37 in descending order.
3, 0, -37
Put -25, 4, 1, -3 in ascending order.
-25, -3, 1, 4
Put -5/3, 5, -3/23, 0, 6 in increasing order.
-5/3, -3/23, 0, 5, 6
Put -0.2, 12, 1/3, -4, 5/7 in increasing order.
-4, -0.2, 1/3, 5/7, 12
Sort 0.3, 0.1, 17/5 in ascending order.
0.1, 0.3, 17/5
Sort 3, 1, 28 in increasing order.
1, 3, 28
Put -0.5, -9, 1/20, -0.1, -0.3 in decreasing order.
1/20, -0.1, -0.3, -0.5, -9
Put -4, 24, -5 in descending order.
24, -4, -5
Put 2, 36, -3/4, 0.2, 5 in increasing order.
-3/4, 0.2, 2, 5, 36
Sort 5, 0, -5, 2, 153.
-5, 0, 2, 5, 153
Sort -7, 1.8, 4/3, 1/6, 0 in increasing order.
-7, 0, 1/6, 4/3, 1.8
Sort 4, -6, -24.
-24, -6, 4
Sort 6, -3, 5, 0, -42 in decreasing order.
6, 5, 0, -3, -42
Sort 8, -1, -3 in increasing order.
-3, -1, 8
Sort 0, 7, 10 in descending order.
10, 7, 0
Sort 109, 3, -4.
-4, 3, 109
Put -4, 6, 24 in decreasing order.
24, 6, -4
Put -2/15, 2, -42 in ascending order.
-42, -2/15, 2
Sort -2, 27, 1, 3 in descending order.
27, 3, 1, -2
Sort -25, -1, 36 in decreasing order.
36, -1, -25
Put 1, 0, -4, -5 in decreasing order.
1, 0, -4, -5
Put -0.55, -0.05, 2 in increasing order.
-0.55, -0.05, 2
Sort 6, 2, 9 in descending order.
9, 6, 2
Put 4, 1/6, -4/7, 1/3 in increasing order.
-4/7, 1/6, 1/3, 4
Put -0.2, -1/8, -343 in ascending order.
-343, -0.2, -1/8
Sort 4, 19, 91, 1 in ascending order.
1, 4, 19, 91
Sort -9, -4, -44, -3 in descending order.
-3, -4, -9, -44
Sort 1, 1/4, -59.9, 2 in ascending order.
-59.9, 1/4, 1, 2
Sort -46, 5, 0, -4.
-46, -4, 0, 5
Sort 1, -5, -3, 2 in descending order.
2, 1, -3, -5
Put 21.7, 3, -2 in descending order.
21.7, 3, -2
Put -1, 3, -62, 2 in decreasing order.
3, 2, -1, -62
Put -3, -2, 0 in decreasing order.
0, -2, -3
Put 3, -36, -1, 0 in descending order.
3, 0, -1, -36
Sort 4, -191, -3.
-191, -3, 4
Put 1/10, 2/9, 1, -4/27, 0.3 in increasing order.
-4/27, 1/10, 2/9, 0.3, 1
Pu | {
"pile_set_name": "DM Mathematics"
} |
hat is the next term in -7186, -30335, -68912, -122911, -192326, -277151?
-377380
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-1458868
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-17397
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400703
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-24049
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39539
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-114771
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-1947
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1312
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-5571011
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12934
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69115
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-6681552
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-114559
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152780
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1049719
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-574
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-12211
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190005
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21714
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543
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-33502
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-282383
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4034
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151
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4532
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-2650
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294
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1059349
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-17172
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17786
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2309873
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-1167
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174041
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16687
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1131382
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357300
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-54963
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-1098
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-10973
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110548
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408035
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5968
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-113
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112211
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-3342
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-2050629
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16617
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-3816
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28169
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2198582
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851
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116022
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-1439
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139313
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1640618
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43494
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468
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-7908777
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-2633
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-191678
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-18949
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64135
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-1074670
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27718
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67520
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191180
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671611
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90627
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-30331
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3219
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7248
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639226
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49394
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20099
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7290
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2597
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352280
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18204324
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518
What comes next: 498, 1022, 1546?
2070
What comes next: -675900, -675891, -675868, -675825, -675756, -675655?
-675516
What is next in 33, 74, 157, 294, 497, 778, 1149, 1622?
2209
What comes next: 10203, 10213, 10229, 10251, 10279, 10313, 10353?
10399
What is next in 17071, 34125, 51169, 68197, 85203?
102181
What is the next term in -9979, -9968, -9955, -9940, -9923?
-9904
What is next in 276, 422, 614, 858, 1160, 1526, 1962, 2474?
3068
What is the next term in -38937, -38931, -38925?
-38919
What is next in -290, -265, -242, -227, -226?
-245
What comes next: -540, -609, -684, -765, -852, -945, -1044?
-1149
What is the next term in 155, 569, 1243, 2177?
3371
What is next in -22008, -88038, -198088, -352158, -550248, -792358, -1078488?
-1408638
What is the next term in 1042, 2071, 3120, 4189, 5278, 6387, 7516?
8665
What comes next: -16201, -32398, -48595, -64792, -80989?
-97186
What is next in -2028, -8260, -18698, -33342, -52192?
-75248
What is the next term in -23686, -47377, -71068, -94759?
-118450
What is the next term in -3011, -6023, -9035?
-12047
What is next in -796, -638, -484, -334, -188?
-46
What is next in 2758, | {
"pile_set_name": "DM Mathematics"
} |
*28/105*3
-4
Calculate 6/9*30/(-8)*-2.
5
(1/1)/(-5*3/(-45))
3
(-18)/4*4/(-6)
3
Calculate ((-9)/(-12))/((-17)/68).
-3
(-5)/(-10*14/28)
1
What is (6/(-8))/(-6*1/16)?
2
(2/(-6))/((-9)/(216/(-16)))
-1/2
What is ((-3)/1)/(((-6)/3)/(-2))?
-3
((-8)/(-12))/((-5)/3)
-2/5
Calculate (-3*(-2)/(-2))/(1092/(-104)).
2/7
Evaluate (126/(-525))/(6/20).
-4/5
(-4)/(-6)*-3*1/1
-2
Evaluate (9/21)/((-4)/28).
-3
Evaluate 1/((-30)/(-75)*(-1)/(-2)).
5
What is the value of ((-57)/(-38))/(3/4)?
2
Evaluate (2/(-2))/((-2)/2).
1
Calculate (-1)/(1*(-2)/(-30)*9).
-5/3
38/(-19)*1/(-16)
1/8
(-4)/3*(-27)/(-234)
-2/13
Evaluate ((-1)/(-3))/((931/(-21))/(-19)).
1/7
Evaluate ((-50)/90)/(-5)*-1.
-1/9
Evaluate (-3)/((6/15)/((-24)/90)).
2
Calculate 50/125*(-10)/(-18).
2/9
Evaluate ((-1)/1)/(((-12)/(-3))/4).
-1
Calculate (10/(-105))/(1/6).
-4/7
Calculate ((-12)/9)/(32/(-8)).
1/3
What is the value of (-18)/45*(-15)/(-24)?
-1/4
What is the value of ((-42)/(-28))/(3/16)?
8
What is the value of (-168)/210*((-30)/(-16))/(-5)?
3/10
What is 6/((-210)/(-7))*25?
5
What is (4/6*-3)/(198/297)?
-3
What is the value of -16*((-72)/240)/((-12)/(-10))?
4
Calculate (-2*2/(-20))/(126/(-210)).
-1/3
Evaluate 15*(-2)/12*(-3)/15.
1/2
What is the value of (-4)/72*21*8/98?
-2/21
Evaluate (1120/30)/(-16)*(-3)/(-1).
-7
What is the value of (287/(-123))/(7/(-3))?
1
What is the value of ((-288)/40)/(-6)*5/2?
3
What is the value of ((-6)/(-20))/((-12)/(-16))?
2/5
Evaluate 1/(6/6)*1/(-4).
-1/4
What is the value of (-1)/((-18)/(-6))*-27?
9
Evaluate ((-173)/(-4325))/(-1*(-1)/(-2)).
-2/25
((-1)/(-5))/(((-27)/(-7))/(-27))
-7/5
2*(-2)/14*(-43)/(-86)
-1/7
Calculate (28/105)/((-14)/(-3))*15.
6/7
(-77)/11*4/(-42)*6
4
What is (3/(-12))/((-15)/(-20))?
-1/3
What is the value of 60/(-40)*(-8)/(-78)?
-2/13
What is the value of (0/(-2))/((-2)/(-1))?
0
What is (8/10)/(9/((-270)/(-12)))?
2
4/(-8)*6*(-1)/(-1)
-3
Calculate (-4)/(-9)*408/544.
1/3
((-49)/364*-13)/(1/(-4))
-7
What is the value of 0/(-2)*(20/(-8))/5?
0
What is 6*(2/(-3))/(8/(-6))?
3
What is (12/(-14))/((-33)/77)?
2
What is the value of (-2)/(-1*4/(-10))?
-5
Calculate (4*(-15)/105)/(2/(-14)).
4
Calculate ((-18)/(-4))/((9/3)/6).
9
What is -12*(-26)/(-195)*5?
-8
What is the value of -8*12/(-8)*1/(-3)?
-4
What is the value of 10/4*3/60*16?
2
80/4*-1*2/(-5)
8
What is 3/15*(-3)/1?
-3/5
What is (-2)/1*(-9)/(-12)*-2?
3
Evaluate 10*-2*(-7)/28.
5
What is (-10)/16*4*(-2)/5?
1
What is (1/(-9))/((72/(-12))/(-18))?
-1/3
Evaluate ((-8)/((-16)/(-10)))/((-5)/3).
3
24/32*(-8)/10
-3/5
Calculate ((-3)/9)/(-10*3/36).
2/5
Calculate (-4)/(-14)*182/78.
2/3
What is the value of (2*(-1)/6)/((-4)/3)?
1/4
What is (-5)/2*((-64)/(-20))/(-8)?
1
What is (6/((-216)/(-30)))/((-10)/(-3))?
1/4
What is ((-11)/(-11))/((-1)/(-1))?
1
Calculate (72/180)/(2*(-6)/(-15)).
1/2
(38/19)/((12/(-10))/(-3))
5
What is ((-1)/(-6))/(180/432)?
2/5
What is the value of (-7)/28*2/1*6?
-3
Calculate ((-2)/(-3))/(121/(-33)).
-2/11
Evaluate (-6)/(-7)*(-25)/((-900)/(-168)).
-4
What is the value of 9/243*-21*(-2)/7?
2/9
3/((-18)/30)*1
-5
Evaluate (4/20)/((-3)/(-75)).
5
30/180*9/(-4)*2
-3/4
What is the value of (-9)/10*(-3)/((-36)/20)?
-3/2
Calculate -1*(-8)/(-2)*(-2)/(-8).
-1
((-36)/(-126))/((-3)/7)
-2/3
Calculate 0*-2*4/(-8).
0
Calculate (-3*(-14)/(-49))/(3/(-1)).
2/7
((-7)/14*2)/1
-1
Evaluate 144/48*(-2)/(-21).
2/7
Evaluate 4/(6*(-12)/18).
-1
Calculate 1/2*(-102)/17.
-3
What is the value of ((-2)/(-3))/(-6*(-18)/(-243))?
-3/2
What is the value of 3*3/(-18)*-4?
2
What is the value of ((-165)/770)/((-1)/(-4))?
-6/7
What is the value of (-3*4/60*5)/1?
-1
What is (36/(-15))/(24/60)?
-6
What is the value of 0/(-2)*(-1)/(-6)*-3?
0
Calculate (2*(-2)/2)/(85/17).
-2/5
35/(-10)*48/28
-6
What is 6/(-3)*11/22?
-1
What is 4/(-54)*159/(-53)?
2/9
(-20)/(-16)*1*(-4)/30
-1/6
Calculate (-3)/2*42/105.
-3/5
Evaluate ((-1120)/(-65520))/(2/6*-1).
-2/39
What is 32/(-40)*(-30)/(-84)?
-2/7
Evaluate 8/2*(-4)/(-8)*-2.
-4
What is (12/72)/(((-6)/(-27))/2)?
3/2
Calculate ((-6)/21)/(4/(-56)).
4
70/(-105)*1/(-2)
1/3
1/2*6*4/(-6)
-2
What is ((-84)/(-7))/((-4)/2)?
-6
Calculate -3*24/(-32)*4.
9
What is the value of (-20)/5*(-2)/(-28)?
-2/7
(-1*10/2)/4
-5/4
3/15*(-285)/19
-3
(1/(-2))/((-79)/(-1106))
-7
What is (1/(-1))/(30/(-4620)*14)?
11
Evaluate (252/840)/((-6)/(-5)).
1/4
What is ((-2)/(-66))/(((-430)/60)/43)?
-2/11
Calculate 1*(-6)/15*(-7)/14.
1/5
Evaluate (-8)/10*(-27)/(-270).
-2/25
(0*2/(-2))/3
0
What is the value of (12/(-45))/((-64)/48)?
1/5
Calculate 34/(-119)*(-7)/4.
1/2
Calculate 0/(-2)*32/32.
0
Calculate (6/(-4)*2)/(1/1).
-3
Calculate 3/(6/24*-9)*3.
-4
What is the value of ((-24)/84)/(180/63)?
-1/10
Calculate 2*2/(-24)*69/92.
-1/8
What is the value of 126/(-28)*(-1)/3?
3/2
Calculate (8/60)/(38/(-190)).
-2/3
What is (102/(-12))/(-17)*(-16)/2?
-4
What is the value of ((-12)/24*-10*1)/1?
5
What is the value of ((91/(-7))/(-182))/((-3)/12)?
-2/7
Evaluate ((-16)/(-6))/((-45)/(-135)).
8
What is 9/(-21)*9/(-27)?
1/7
What is the value of ((-22)/286)/((-1)/(-2))?
-2/13
-4*(234/12)/(-13)
6
What is (-8)/(-80)*(-36)/(-9)?
2/5
What is (66/(-4))/(-11)*(-4)/(-3)?
2
Calculate (-27*(-1)/(-3))/((-3)/2).
6
What is the value of (-11)/((-66)/(-8))*(-12)/(-8)?
-2
What is (-1)/(3/((-60)/(-5)))?
-4
What is the value of ((-12)/3)/(8*(-5)/10)?
1
(-1)/((-2)/(8/14))
2/7
What is the value of 12*(11/(-231))/(5/(-7))?
4/5
Calculate 3*1*2/(-1*6).
-1
Evaluate (-18)/(-18)*2/(-2).
-1
What is the value of ((-3)/9)/((-8)/(-96))?
-4
What is (-2)/6*21/(-35)?
1/5
What is -1*(-20)/(-6)*45/25?
-6
What is the value of ((27/3)/(-297))/(2/18)?
-3/11
What is the value of ((-429)/117)/(2/(-6))?
11
Evaluate (17/(-102))/((-2)/8).
2/3
Calculate (8*8/((-128)/(-24)))/(-2).
-6
Calculate (56/(-21))/8*0/5.
0
What is the value of 1*(-5)/10*-2?
1
What is (-4)/(-2)*2/14?
2/7
What is (-2)/3*(-33)/55*-10?
-4
What is the value of (-58)/(-29)*(-3)/12*2?
-1
What is the value of -2*(-1)/(-1)*807/(-2690)?
3/5
Evaluate (-8)/(-10)*4/(112/70).
2
What is the value of 24/294*14/4?
2/7
Calculate ((-33)/27)/11*9/(-3).
1/3
Calculate 10/(-15)*63/168.
-1/4
Evaluate 4/(-198)*(-45)/5.
2/11
What is the value of (4/(-4))/(-2*(-6)/96)?
-8
Evaluate (-1)/5*-6*80/24.
4
What is the value of (-3)/(54/84*7/3)?
-2
What is (-3*21/35)/(4/(-20))?
9
Evaluate ((-12)/((-12)/(-1)))/((-1)/3).
3
Calculate ((-4)/6)/(1/((-6)/(-4))).
-1
Calculate (-10)/(-4)*((-6)/(-10))/3.
1/2
Evaluate (2/(-4))/(2*2/(-8)).
1
What is (-4*1)/(128/256)?
-8
Calculate (-69)/1035*20/6.
-2/9
(12/12)/((-10)/8)
-4/5
6*13/(-117)*3
-2
What is (-126)/120*(-135)/378?
3/8
Evaluate 7*(-14)/490*-55.
11
What is the value of ((-3)/(-42)*3)/(1920/(-512))?
-2/35
((-136)/(-442))/((-3)/(-39)*2)
2
Evaluate (6/2)/((-9)/12).
-4
What is the value of (30/(-40))/((-3)/(-1))?
-1/4
What is 1*-1*(-2)/3*3?
2
What is 7/(-16*7)*4?
-1/4
(-35)/49*(-7)/(-2)
-5/2
What is the value of ((-6)/9)/(((-80)/6)/4)?
1/5
Evaluate 39/13*3/(27/(-4)).
-4/3
3/(9/((-3)/(-1)))
1
Evaluate 14*6/(-48)*(-4)/(-1).
-7
What is the value of (-24)/(-2)*(-11)/(-66)?
2
What is the value of (10/12)/(145/261)?
3/2
What is the value of ((-10)/(-90))/(2/(-3))?
-1/6
Calculate ((-8)/32)/(3/4).
-1/3
What is the value of ((4/5)/2)/(11/(-110))?
-4
((-3)/2)/((-1)/(-2))
-3
Calculate 2*((-22)/20)/11.
-1/5
3/(-96)*-16*2/(-5)
-1/5
(2/4)/(-1)*12/(-1)
6
What is the value of (-2)/(-12)*(-4)/(-20)*4?
2/15
((6/10)/(12/(-30)))/(-12)
1/8
(2/(-6))/((-13)/468*6)
2
What is 3/((-2)/((-2)/(-5))*-1)?
3/5
Calculate ((0/(-1))/(-3))/2.
0
What is ((-6)/24*-6)/((-3)/3)?
-3/2
What is the value of ((14/6)/7)/1*-3?
-1
Calculate 1/(14/(-21))*(-2)/12.
1/4
What is the value of (385/110)/(1/(-2))?
-7
Calculate (-1332)/1036*14/(-12).
3/2
Calculate ((-32)/(-12))/(5/(15/(-2))).
-4
Calculate ((-6)/(-5))/(((-63)/(-30))/(-7)).
-4
What is 6*(-10)/(-30)*(-5)/(-2)?
5
Evaluate (5/5)/(-1)*3/(-3).
1
Calculate ((-328)/(-205))/(2/(-10)).
-8
Evaluate (-5)/5*(-25)/5.
5
What is the value of ((-1)/(-4))/(((-462)/22)/(-588))?
7
Calculate ((-3)/(-96)*12)/(18/(-24)).
-1/2
What is the value of (-4)/4*0/(-9)?
0
What is the value of ((-6)/(-27))/((-18)/81)?
-1
What is 9*(-2)/((-8)/(-2))*2?
-9
Calculate (2/(-2))/((-17)/68).
4
What is ((-60)/(-24))/(-2*(-1)/4)?
5
Evaluate (7/(-14))/(4/(-8)).
1
Calculate 14/245*-5*1/2.
-1/7
Evaluate 9/3*5*(-3)/(-9).
5
Evaluate (2/(-15))/(((-20)/6)/(-10)).
-2 | {
"pile_set_name": "DM Mathematics"
} |
2. Let z(g) be the third derivative of n(g). Let r(p) = -p. Calculate z(r(h)).
3*h
Let u(o) = -o**2. Let i(y) = -304765*y. Determine i(u(d)).
304765*d**2
Let f(r) = -10*r**2. Let o(u) be the first derivative of u**4/6 - 3*u - 5. Let y(g) be the first derivative of o(g). What is f(y(p))?
-40*p**4
Let t be 30/(-180)*(-66)/1. Let n(q) = -15*q - t*q - 13*q + 41*q. Let a(y) = -y - 1. Let h(f) = -3*f**2 - f - 1. Let i(l) = -3*a(l) + 3*h(l). Give n(i(b)).
-18*b**2
Let g(r) = 82*r**2 - 3*r - 2. Let w be g(-1). Let v(i) = w - 83 - 3*i**2 - 5*i**2. Let f(p) = 5*p. Determine f(v(k)).
-40*k**2
Let w(o) = -34*o**2. Let m(z) = -16*z + 23*z - 6*z. Give w(m(c)).
-34*c**2
Let b(s) = -4*s. Let v(y) = 28066*y + 2. Calculate b(v(a)).
-112264*a - 8
Let b(y) be the third derivative of -y**5/60 - 7*y**2 - 36. Let r(q) = -132*q**2. Calculate b(r(o)).
-17424*o**4
Let o(f) be the second derivative of -f**4/4 - f. Let u(d) = 1414*d - 744*d - 667*d. Calculate o(u(j)).
-27*j**2
Let l(y) = -2*y. Let a(b) = -222*b**2 + 2*b + 74. What is a(l(w))?
-888*w**2 - 4*w + 74
Let w(l) be the third derivative of 16*l**2 + 1/24*l**4 + 0*l + 0*l**3 + 0. Let s(q) = 5*q**2 + 3*q - 3*q. What is s(w(o))?
5*o**2
Let m(f) = 14*f**2. Let y(g) = 32*g**2 - 25. Determine y(m(i)).
6272*i**4 - 25
Let z(b) = 9*b. Let y(o) = -o**2 + 1. Let g(d) = 4*d**2 - 5. Suppose 8*c = 11*c + 15. Let t(p) = c*y(p) - g(p). Give z(t(r)).
9*r**2
Let b(r) = r. Let s(f) = -635*f**2 - 6*f - 24. Let h(k) = 890272*k**2 + 8411*k + 33644. Let c(j) = 6*h(j) + 8411*s(j). Give b(c(v)).
647*v**2
Let c(y) = y**2 + 8. Let g(s) = -3*s - 36*s**2 + 35*s**2 + 5*s - 2*s. Give g(c(h)).
-h**4 - 16*h**2 - 64
Let q(i) = -29*i + 90. Let c(t) = 8*t - 23. Let u(k) = -22*c(k) - 6*q(k). Let z(m) = 3*m**2. Determine z(u(s)).
12*s**2 + 408*s + 3468
Let m(u) = 0 + 3 + 8*u**2 - 3 - 7*u**2. Let z(r) = 3*r**2 + 13*r. What is m(z(j))?
9*j**4 + 78*j**3 + 169*j**2
Let c(s) be the first derivative of -15*s**2/2 + 97. Let d(w) = -w**2. What is c(d(p))?
15*p**2
Let p(n) = -21*n - 124. Let g(k) = -285*k**2. Give p(g(z)).
5985*z**2 - 124
Let m(s) = -75*s + 455. Let p(r) = 9*r**2. Give m(p(t)).
-675*t**2 + 455
Let n(a) = 3*a**2 - 38*a. Let x(f) = -4*f**2 + 30*f**2 - 24*f**2. Calculate n(x(q)).
12*q**4 - 76*q**2
Let g(f) = 5*f - 4. Let u(k) = -82*k. Determine u(g(a)).
-410*a + 328
Let s(b) = b. Let f(a) = a**2 + a - 6388. What is f(s(v))?
v**2 + v - 6388
Let z(q) = 24*q**2. Let i(m) be the third derivative of 0 + 1/12*m**4 - m**2 + 0*m**3 + 0*m. Determine z(i(r)).
96*r**2
Let d(z) = 94*z**2 - 63*z + 79*z**2 + 63*z. Let h(n) = 4*n. What is h(d(v))?
692*v**2
Let l(j) = -2*j - 5. Let t(v) = 5*v**2 + 4. Let h be t(2). Let a = -14 + h. Let m(n) = -n - 2. Let k(q) = a*m(q) - 4*l(q). Let z(p) = -3*p**2. Give z(k(w)).
-12*w**2
Let i(g) = -7*g**2. Let o(t) = t**3 + 5*t**2 + t - 10. Let q be o(-4). Let l(j) = -3*j**q + 7*j**2 - 2*j**2. Calculate l(i(h)).
98*h**4
Let s = 0 + 2. Let a(n) = 21*n**s + 26*n**2 - 49*n**2. Let y(i) = 4*i**2. Determine a(y(k)).
-32*k**4
Let j(y) = y**2. Let s(l) = l**2 + 8*l + 2. Let d be s(-8). Let t(h) = 21 - 21 + 0*h**2 + 4*h**d. What is t(j(u))?
4*u**4
Let q(k) be the third derivative of 0*k**3 + 0*k - 27*k**2 + 0 + 0*k**4 + 1/30*k**5. Let o(b) = -b**2 + 9. Calculate o(q(y)).
-4*y**4 + 9
Let y(i) = 5*i**2. Let s(f) = -5*f**2 - 2*f - 2. Let a(w) = -352*w**2 - 143*w - 143. Let n(k) = -2*a(k) + 143*s(k). Calculate y(n(j)).
605*j**4
Let o(z) = -12*z**2 + 3*z**2 + 6*z**2. Let q(f) be the first derivative of -3/2*f**2 + 1 + 0*f. Determine q(o(k)).
9*k**2
Let k(z) = 8*z**2. Let r(h) = 3*h - 35 + 21 + 14. Give k(r(l)).
72*l**2
Let v(p) = 93*p**2 + 7*p + 7. Let w(f) = -62*f**2 - 5*f - 5. Let n(m) = -5*v(m) - 7*w(m). Let c(k) = 9*k. What is c(n(l))?
-279*l**2
Let n(v) = -11*v - 5. Let d(x) = 52 + 17*x - 25 - 19. Let z(r) = 5*d(r) + 8*n(r). Let h(f) = -2*f. Give h(z(i)).
6*i
Let u(y) = 9*y. Suppose 8*n - 20*n = -24. Let k(b) = -7*b + 7*b - b - n*b. Calculate k(u(t)).
-27*t
Let u(o) = -3*o**2. Let w(q) be the third derivative of 9*q**5/20 - q**4/24 + 152*q**2. Calculate w(u(c)).
243*c**4 + 3*c**2
Let g(n) = 8*n. Let i(c) be the third derivative of 5/24*c**4 + 0*c**3 + 0*c + 35*c**2 + 0. Give g(i(v)).
40*v
Let o(b) = 22*b**2 + 10*b**2 - 25*b**2. Let z(d) = 26*d. What is o(z(n))?
4732*n**2
Let z(d) = -19*d**2 - 5*d - 5. Suppose -3*h - 16 = i - 3, -4*i + 8 = 0. Let o(l) = 19*l**2 + 6*l + 6. Let s(p) = h*o(p) - 6*z(p). Let t(v) = -v. Give t(s(x)).
-19*x**2
Suppose 0 = m - 2*o, m - 4*m + 2*o = -4. Let f(z) = 74 + m*z - 74 - 15*z. Let d(b) = 3*b**2. Calculate f(d(j)).
-39*j**2
Let k(m) = -m**2 - 12. Let i(w) = -2*w**2 - 26. Let q(u) = -6*i(u) + 13*k(u). Let r(l) = -53*l - 4. Calculate r(q(z)).
53*z**2 - 4
Let k(m) = -8 - 140*m - 8 + 24 - 5 - 5. Let l(r) = -2*r. Give l(k(f)).
280*f + 4
Let f(t) = 113*t. Let s(w) = 143*w. What is f(s(c))?
16159*c
Let m(g) = 5*g. Let a(r) be the second derivative of 5*r**3 - r**2 + 2*r - 15. What is a(m(t))?
150*t - 2
Suppose -10*o + 145 = -5*o. Let z(t) = -10*t + o*t - 14*t. Let r(i) = -5*i. Determine z(r(d)).
-25*d
Let n(c) = 21*c. Let h(l) = 73*l**2 - 37*l. Determine h(n(d)).
32193*d**2 - 777*d
Let j(m) be the first derivative of -43*m**2/2 - 74. Let r(h) = h. Calculate r(j(k)).
-43*k
Let a(t) = 4*t**2 - 14*t + 7. Let n(f) = 3*f**2 - 10*f + 5. Let h(q) = 5*a(q) - 7*n(q). Let w(x) = -39*x. Determine h(w(y)).
-1521*y**2
Suppose 11 = 4*i + 3. Suppose -3*r = 2*v + 5, -2*v - 177*r + 182*r = -19. Let q(g) = -3*g**v - 3*g**i + 2*g**2. Let d(k) = -2*k. What is d(q(t))?
8*t**2
Let o(c) = 2*c. Let y(k) = -50*k - 6. Let u(i) = -149*i - 21. Let p(q) = 6*u(q) - 21*y(q). Determine p(o(f)).
312*f
Let k(p) = p. Let i(h) = -46*h**2 - 4*h - 181. Calculate k(i(q)).
-46*q**2 - 4*q - 181
Let l(z) = 26*z - 544. Let g be l(21). Let y(t) be the third derivative of 0*t**3 + 12*t**g + 0*t + 0 - 1/12*t**4. Let f(h) = 5*h**2. Calculate f(y(x)).
20*x**2
Let t(i) = -13*i. Let w(y) = -34441*y**2. Give t(w(r)).
447733*r**2
Let m(p) = -2*p**2. Let v(g) = 2*g + 16. Let l = -8 - 0. Let o be v(l). Let j(y) = -4*y - 6*y + o*y. Give j(m(n)).
20*n**2
Let d(b) = 2*b**2. Let k be 133/(-8) - -20 - 3/8. Let n(l) be the second derivative of 5/6*l**k + 0*l**2 + 0 + 6*l. Calculate n(d(v)).
10*v**2
Let m(y) be the first derivative of -4*y**3/3 + 163. Let k(z) = -6*z. Determine m(k(f)).
-144*f**2
Let n(a) = 4*a - 5. Let o(v) = v - 1. Suppose 28*z - 25*z = 3. Let t(j) = z*n(j) - 5*o(j). Let w(l) = 22*l. What is w(t(d))?
-22*d
Let d(x) = 13*x - 173 + 173 + 8*x. Let h(r) = 16*r. What is h(d(n))?
336*n
Let l(g) = 1405*g + 20. Let j(f) = 2*f**2. Calculate j(l(h)).
3948050*h**2 + 112400*h + 800
Let z(g) = -5*g. Let i(n) = -4*n**2 + 6*n - 7. Let d(v) = v**2 - v - 1. Let q(p) = -6*d(p) - i(p). Let r(k) be the first derivative of q(k). Determine z(r(x)).
20*x
Let m(n) = -2*n. Let l(c) be the third derivative of -c**6/40 - 2*c**3 + c**2. Let s(p) be the first derivative of l(p). Determine m(s(h)).
18*h**2
Let h(d) = 3*d**2 - 25803*d + 9. Let m(q) = -q. Calculate h(m(l)).
3*l**2 + 25803*l + 9
Let z(u) = u - 23. Let s(m) = -152*m - 1. Determine z(s(i)).
-152*i - 24
Let o(a) = 3*a. Let h(k) = 52*k - 24. Calculate o(h(m)).
156*m - 72
Let k(w) = w. Let j(r) be the third derivative of r**7/840 - r**6/360 - 7*r**5/30 - 30*r**2. Let o(v) be the third derivative of j(v). Give k(o(q)).
6*q - 2
Let x(s) = -s. Let o(a) = 1920*a - 4. Determine o(x(g)).
-1920*g - 4
Let l(q) = -213*q. Let g(d) = -411*d. Give l(g(w)).
87543*w
Let k(h) = -310*h. Let g(l) = -30*l - 1. Give k(g(m)).
9300*m + 310
Let k(n) = 2*n**2. Let h(a) be the second derivative of a**5/30 - 17*a**3/6 + a**2 + 2*a. Let r(f) be the first derivative of h(f). What is r(k(v))?
8*v**4 - 17
Let h(c) be the first derivative of 2*c**3 + 1. Let d(g) be the third derivative of g**5/20 + 27*g**2. Determine d(h(l)).
108*l**4
Suppose j + 15 = 5*g - 2, -4*j + 2*g = -4. Let x(w) be the second derivative of 0*w**j + 4*w + 0*w**2 + 5/12*w**4 + 0. Let l(c) = 5*c. Determine x(l(q)).
125*q**2
Let n(d) = -3481*d. Let p(u) = 485*u**2. What is n(p(z))?
-1688285*z**2
Let y(l) = -2*l**2. Let p(t) = -67923*t. What is p(y(i))?
135846*i**2
Let g(j) = 6*j + 5. Let m(b) = b + 1. Suppose -3*r - 13 = 2*r + 2*p, -p = 2*r + 6. Let n(u) = r*g(u) + 5*m(u). Let | {
"pile_set_name": "DM Mathematics"
} |
= b*x(i) + 11*h(i). Determine m(-5).
9
Suppose -4*g = -12 - 4. Let t(x) = -x**2 + 3*x + 5. Determine t(g).
1
Let v(u) = u**2 + 1. Let q(y) = 2*y**2 - 3*y. Let h(i) = q(i) - v(i). Let j = 3 - 0. Give h(j).
-1
Let x = -11 - -14. Let v(b) = -x*b + 1 + 2 + 0*b. Give v(2).
-3
Let d(j) = 3*j - 7. Let i(y) = y**2 + 2*y - 3. Let g(h) be the first derivative of h**2/2 + 10*h + 2. Let b be g(-8). Let v be i(b). Calculate d(v).
8
Let l(u) be the third derivative of u**5/60 + 5*u**4/24 - u**3/3 + 41*u**2. What is l(-5)?
-2
Suppose 7*d - 4*d - 15 = 0. Suppose 2*f + 5*b = b + 18, 4*f - 10 = d*b. Let n(z) = 38 - 16 - 15 - z. What is n(f)?
2
Let k(g) be the second derivative of g**3 + g**2 + 3*g. Let z = 1 - 1. Suppose 0 = -2*y + 3*y - 4, z = -5*n - 5*y + 10. What is k(n)?
-10
Let h(f) = -7*f - 35. Let r(z) = 3*z + 18. Let q(u) = -4*h(u) - 9*r(u). What is q(9)?
-13
Let k(a) be the first derivative of -a**4/4 - a**3 + a + 4. Calculate k(-3).
1
Let m(j) = -7*j + 1. Let r(b) be the third derivative of -7*b**4/24 + b**3/6 + b**2. Let p(z) = 4*m(z) - 5*r(z). Calculate p(1).
6
Let b(v) be the third derivative of v**5/60 - v**4/3 + 3*v**3/2 - v**2. Determine b(6).
-3
Let b(o) = o**3 + 6*o**2 + 3*o - 5. Let j be b(-5). Suppose -3*k + i - 5*i + 8 = 0, 4*k = 2*i + 18. Let w(l) = -2 - l**2 + 12*l - l - k*l - 4. What is w(j)?
4
Let k(j) = -2*j**2 + 4*j. Let f be k(3). Let g(i) = i**2 + 5*i - 7. Determine g(f).
-1
Let m = 5 + 0. Let r(c) = c**3 + 3*c**2 - c - 1. Let g be r(-3). Let b(a) = -g*a + a - a + 5 - a. What is b(m)?
-10
Let w(h) = h**2. Let i(r) = -5*r**2 + 7*r - 9. Let q(p) = -p + 1. Let u be q(5). Let f(t) = u*w(t) - i(t). Calculate f(6).
3
Let j(q) = -5*q**2 + 121*q - 113*q + 6 + 6*q**2. What is j(-6)?
-6
Let j(z) = z**3 + 2*z**2 - 3*z + 2. Suppose 0 = -2*l - 2*g, -4*g + 4 + 8 = 0. Calculate j(l).
2
Let w(a) = a**2 - 2*a + 5. Let v(d) = -3*d**2 + 5*d - 11. Let n(j) = -4*v(j) - 9*w(j). Calculate n(-2).
15
Suppose r = 6*r - 5. Let z(o) be the third derivative of -o**6/60 - o**4/24 + o**3/6 - 3*o**2. Give z(r).
-2
Let c(o) be the first derivative of 5/2*o**2 + 2*o + 1. Give c(-2).
-8
Let z(b) = b**3 - b + 1. Suppose -8 = 3*v - 5*v. Suppose 3*w + v*g + 6 = 0, -w - 6*g - 13 = -g. Let s be (2/(-3))/(w/6). What is z(s)?
-5
Let r(p) = -p. Let x(u) = -16*u - 4. Let o(y) = -20*r(y) + x(y). Calculate o(-4).
-20
Let p(w) = w**3 + 4*w**2 - 3*w - 3. Suppose -5*i = 4*b + 35, 3*b - 10 = -2*i - 31. Determine p(b).
-13
Let s(a) = a - 6. Let c(w) = -w**3 - 10*w**2 - 8*w + 12. Let u be c(-9). Suppose -y + u*y + 2 = 0. Let t(f) = 1. Let j(b) = y*s(b) - 6*t(b). What is j(-2)?
2
Let u(v) = -6*v + 40. Let f(w) = -w + 8. Let m be (-18)/3 + 2 + 2. Let b(n) = m*u(n) + 11*f(n). Let i = 0 + -4. Calculate b(i).
4
Let x(f) = 3*f**2 - 5*f. Let y(i) = 2*i**2 - 5*i. Let s(w) = 3*x(w) - 4*y(w). Calculate s(-4).
-4
Let b(x) = x - 8. Let q be (-16)/10 - (-10)/(-25). Let s = q + 2. Give b(s).
-8
Let v(g) be the third derivative of -g**9/60480 + g**8/4032 - g**7/5040 + g**6/360 - g**5/12 - 3*g**2. Let l(k) be the third derivative of v(k). Give l(5).
-3
Let a(h) be the second derivative of 5*h**3/6 - h**2/2 + 12*h. Determine a(-1).
-6
Let g(y) = 2*y + 4 - 5 - 2*y + 3*y. Give g(-2).
-7
Let z(o) = -o - 3. Suppose v + 2*w + 4 = -0*v, 4*v - 5*w = -3. Let f(t) = 2*t**2 + t - 2. Let i be f(v). Let g = 7 - i. Determine z(g).
-6
Let k(o) = -202 + 192 + o - 2*o. Let l = -3 + -2. Determine k(l).
-5
Let h(u) = -u + 2. Let b(o) = -2*o + 3. Let s(q) = 2*b(q) - 5*h(q). Calculate s(3).
-1
Let b(p) = 9*p. Suppose -7*q + 12 = -4*q. Suppose q*c = 3*c + 1. What is b(c)?
9
Let n(t) = t**3 - 7*t**2 - 3*t + 15. Let u be n(7). Let w(f) = -f**3 - 6*f**2 - 2*f - 9. What is w(u)?
3
Let k(c) = -4*c**2 - c. Let h be k(1). Let n(g) be the third derivative of g**6/120 + g**5/10 + 5*g**4/24 - 2*g**3/3 - g**2. Calculate n(h).
-4
Let m(x) = -x + 7. Let b be m(5). Let c be 2/4 - 7/(-2). Let a(u) = -c - u + b + 0*u. Calculate a(0).
-2
Let w(r) = r**3 - 3*r + 4*r**2 + 4*r**3 + 1 - 9*r**3 + 3*r**3. Suppose 8*q - 20 = 3*q. Calculate w(q).
-11
Let p(k) = -1 + 7*k - k**2 + 6*k**2 - 6*k**2. Give p(4).
11
Let v(p) = 5*p**2 + 2*p + 1. Let n(s) = 4*s**2 + 3*s. Let x(l) = 4*n(l) - 3*v(l). Suppose -r - 5 = 0, 3*u - 5*r - 55 = 8*u. What is x(u)?
-3
Let o(x) = 2*x - x - 10 + 8. What is o(5)?
3
Let k = -15 - -18. Let y(d) = 0 + 2 - 6*d - d**2 + k - 8. Let c be -7 + (0 - (2 - 4)). Calculate y(c).
2
Let r(s) = -2*s**2 - 3*s + 3. Suppose -5*m + c = -2*c + 6, 3*c = 2*m - 3. Let p be r(m). Let q(l) = -l**2 - 5*l - 9. Calculate q(p).
-15
Let c(a) = 3*a**3 - a**2 + a. Let i = 0 - 0. Let q be 3 - ((-40)/(-5) + -4). Let h = i - q. What is c(h)?
3
Let p be ((-4)/(-2 + 0))/(4/(-6)). Let c(d) = 5*d**2 + d**3 + 4*d - 2 + 3 + 0*d**3. Determine c(p).
7
Let h(d) be the third derivative of d**6/120 - d**5/15 + d**4/24 - d**3/3 - 9*d**2. Let q(l) = -l + 13. Let y be q(11). Calculate h(y).
-8
Suppose -44 = 4*g + 4*r, -37 = 5*g + r - 2. Let h be (-2)/g*1*3. Let m(j) = -4*j**3 - j**3 + 10*j**3 - j**2 + h. What is m(1)?
5
Let v = -9 + -3. Let k be ((-8)/24)/((-2)/v). Let u(h) = -h**3 - 2*h**2 - 3*h - 2. Determine u(k).
4
Let t = 1 + -1. Let r(w) = -4*w + t*w + 3*w. Let n be r(0). Let h(p) = -p**2 - p + 7. Determine h(n).
7
Let o(w) = -w + 4. Let g be (-3)/2 - (-21)/2. Let i = -14 + g. Give o(i).
9
Suppose 4*x = -2*x + 24. Suppose -x = 3*y - 10. Let t(a) = a**2 - 2*a - 1. Determine t(y).
-1
Let m(u) = -u**2 + 6*u + 7. Let i be m(5). Let r be ((-15)/i)/(3/12). Let h(c) = -c**2 - 6*c + 6. What is h(r)?
11
Let w(u) = -u + 8. Let l be (-2)/((-2 - -1)*2). Suppose 4*g + 4*c = -28, -c + l = 4*g + 20. Let a be (-1 - 0)*(g - 0). Determine w(a).
4
Let i(t) = -t**3 + t**2 + t. Let r(g) = 3*g**3 + g**2 - 4*g. Let u(l) = -2*i(l) - r(l). Calculate u(-3).
-6
Let l(v) = -13*v - 3. Let o(a) = 7*a + 1. Let n(u) = 6*l(u) + 11*o(u). Let m(y) = -2*y - 8. Let c(h) = 6*m(h) - 7*n(h). Calculate c(-1).
6
Let m(r) = r**3 - r + 5. Let w = 11 - 0. Suppose w*n = 6*n. Determine m(n).
5
Let n(f) = f - 11. Let i be -5*(-2 - (-31)/5). Let m be ((-28)/i)/((-4)/(-18)). What is n(m)?
-5
Let q(j) = -2*j + 12. Suppose 18 = 16*x - 14*x. Give q(x).
-6
Let s(j) = j**3 - 6*j**2 + 4*j + 1. Let d(p) = -p**2 + 5*p + 6. Let r be d(6). Suppose r*y = -y + 5. Give s(y).
-4
Let q = -130 + 129. Let t(i) = 3*i**2 + i. Give t(q).
2
Let f(l) be the third derivative of l**5/60 - 3*l**4/8 + 5*l**3/6 - 7*l**2. Let q(z) = z**2 - 9*z + 6. Let t(n) = -5*f(n) + 4*q(n). Give t(8).
7
Let p(q) = q + q + q + 0*q - 7. What is p(5)?
8
Let z(g) = 3*g**2 + 2*g**3 + g**3 - 4*g**3 + g + 4*g**2 - 6. Determine z(7).
1
Let a(f) = f**2 - 3*f - 9. Let s be a(4). Let n(c) = c**3 + 4*c**2 - 5*c - 5. Calculate n(s).
-5
Let w(h) be the first derivative of h - 3 + h**3 - 1/2*h**2. Give w(1).
3
Let s(w) = -2*w**3 - 2*w**2 + w - 2. Suppose 4*l - 8 = 4*g, -g - 2*l + 1 = 3. Calculate s(g).
4
Let k(z) = -z. Let o(b) = -4*b - 1. Let p(q) = -q**3 + 12*q**2 - 10*q - 12. Let t be p(11). Let m(f) = t*o(f) + 6*k(f). What is m(1)?
-1
Suppose -4*c + 4 + 10 = d, 2*c + 2*d - 4 = 0. Suppose 2*i + 48 = 5*i. Let v(o) = 1 + i*o - 18*o + 3. Give v(c).
-4
Let y(p) be the second derivative of p**4/12 + p**3/2 - 7*p. Determine y(-4).
4
Let y(g) = g**2 + 8*g + 3. Suppose w - 2*w = 10. Let b be w/(-6)*(-2 + -1). Calculate y(b).
-12
Let s(j) = -2*j**2 - 2*j - 3. Suppose -10 = -2*d - 4*h, -3*h = 4*d - 0 - 15. Let w = d + -2. Suppose w = -2*x - 3. Determine s(x).
-7
Let j be 48/22 + 6/(-33). Let i be 3 - (j - -1 - 0). Let r(p) = -p**2 + p + 2. What is r(i)?
2
Let d(j) = -76*j**2 + 152*j**2 - 1 - 78*j**2. What is d(1)?
-3
Let p(c) = 0 - 2*c - 7 + 17 - 2. Calculate p(6).
-4
Let z = 1 + -2. Let j be z - (2 - (1 - -1)). Let m(h) = -6*h**3 - h**2 - h - 1. Give m(j).
5
Let h(d) = 0 + 5 - d + 3 + 0. Determine h(6).
2
Let h = 11 - 6. Suppose -4*a + 36 = -4*d, h*a - 33 = -3*d - 12. Let w(p) = -2*p + 8. Give w(a).
-4
Let f(b) = b**3 + 3*b**2 - 4*b - 4. Let g(w) = 5*w**3 - w**2 - 3*w - 1. Let n be g(-1). What is f(n)?
-4
Let k(s) = -s**3 + 1. Let v(w) = -4*w**3 + 6*w**2 - 4*w + 9. Let j(r) = 3*k(r) - v(r). Give j(5).
-11
Let p(l) = 14*l - 4 - 22*l - l**3 + 13*l + 3*l**2. What is p(3)?
11
Let a = -19 - -28. Let f(m) = m**2 - 4*m + 4. Let h(c) = 4*c**2 - 16*c + 16. Let v(u) = a*f(u) - | {
"pile_set_name": "DM Mathematics"
} |
11*j(o). Solve p(r) = 0 for r.
-3
Let q(u) be the second derivative of u**6/105 - 3*u**5/70 + u**4/14 - u**3/21 - 17*u. Suppose q(l) = 0. What is l?
0, 1
Let z(k) be the first derivative of 1/5*k**2 - 1/5*k**3 + 1/10*k**4 - 2*k - 1/50*k**5 + 1. Let g(f) be the first derivative of z(f). Factor g(t).
-2*(t - 1)**3/5
Determine i, given that -8*i**2 + 86 - 86 - 16*i**3 - i = 0.
-1/4, 0
Let s(w) be the third derivative of -8*w**7/21 - 7*w**6/3 - 73*w**5/12 - 35*w**4/4 - 15*w**3/2 + 3*w**2. Determine d so that s(d) = 0.
-1, -3/4
Let r(b) be the second derivative of -b**5/100 - b**4/30 - b**3/30 - 8*b. Solve r(i) = 0 for i.
-1, 0
Factor -2/11*l - 2/11*l**3 + 0 - 4/11*l**2.
-2*l*(l + 1)**2/11
Let z(i) be the first derivative of 2/3*i**3 + 6*i + 3 - 4*i**2. What is c in z(c) = 0?
1, 3
Factor -6*n**2 - 3*n**4 - 952*n + 15*n**2 + 946*n.
-3*n*(n - 1)**2*(n + 2)
Suppose 0 = -6*j - 0*j. Let n(v) be the third derivative of 0*v + 1/30*v**5 - 1/6*v**4 + j + 2*v**2 + 0*v**3. Suppose n(u) = 0. Calculate u.
0, 2
Let k(b) be the second derivative of 0*b**2 + 5*b + 1/10*b**6 + 5/4*b**4 + 0 + 3/5*b**5 + b**3. Factor k(l).
3*l*(l + 1)**2*(l + 2)
Let o = -63 + 67. Let k(i) be the second derivative of 1/12*i**3 + 0*i**2 - 1/48*i**o - 3*i + 0. Factor k(w).
-w*(w - 2)/4
Suppose -92*u**3 + 77*u**3 + 5*u**2 + 5*u**2 + 5*u**5 = 0. Calculate u.
-2, 0, 1
Factor -20*s**3 - 2*s**4 - 19*s**3 + 6*s**2 + 4*s**4 + 47*s**3.
2*s**2*(s + 1)*(s + 3)
Let c(s) be the second derivative of 1/10*s**6 + 0*s**2 + 1/2*s**3 - s + 9/20*s**5 + 3/4*s**4 + 0. Factor c(h).
3*h*(h + 1)**3
Find z such that 0 - 2*z**2 - 28/13*z**3 - 10/13*z**4 - 8/13*z = 0.
-1, -4/5, 0
Let m(u) be the second derivative of -u**5/100 + u**4/40 - u**2 - 8*u. Let k(z) be the first derivative of m(z). Let k(b) = 0. What is b?
0, 1
Let g be 14/6 - 4/12. Let a(b) be the third derivative of 0 + 0*b + 0*b**6 - 1/105*b**5 - 3*b**g - 1/1176*b**8 + 1/84*b**4 + 2/735*b**7 + 0*b**3. Factor a(q).
-2*q*(q - 1)**3*(q + 1)/7
Let w(m) be the second derivative of 0*m**3 + 1/25*m**6 + 7*m - 1/25*m**5 + 0 - 1/105*m**7 + 0*m**4 + 0*m**2. Factor w(q).
-2*q**3*(q - 2)*(q - 1)/5
Suppose -2*t + 23 = 5*r, 2*t - 4*r = -3*t + 107. Factor -4 - 5*a**2 + 13*a - t*a + 7*a**3 - 10*a.
(a - 2)*(a + 1)*(7*a + 2)
Suppose 3*z - 3 - 27 = 0. Find d such that z - 2 - 1 + 5 + 3*d**2 + 12*d = 0.
-2
Suppose 3*w + 2*w - 19 = -3*g, 12 = 4*w + 4*g. Suppose -2*o - 3*p + 27 = -0*p, -5*o - p + 35 = 0. Solve w*a**2 - a + 1 - o*a**2 + 0*a + a**3 = 0.
-1, 1
Suppose o - 5*b = 2*o + 61, b + 149 = -4*o. Let w be (4/o)/(1/(-3)). Suppose 0 + 0*x**2 - w*x**3 + 1/3*x = 0. Calculate x.
-1, 0, 1
What is j in -28 + 15 - 3*j + 17 - j**2 = 0?
-4, 1
Let q(z) be the first derivative of 2*z**6/15 + 4*z**5/5 + 5*z**4/3 + 4*z**3/3 - 3*z + 7. Let f(p) be the first derivative of q(p). Let f(l) = 0. What is l?
-2, -1, 0
Let f(i) be the third derivative of -i**5/3 + 3*i**4 + 16*i**3/3 - 2*i**2. Factor f(h).
-4*(h - 4)*(5*h + 2)
Let x(c) = c**2 - 1. Let f(j) = j**2 - j - 4. Let u(s) = -f(s) + 6*x(s). Let d(o) = -11*o**2 - o + 5. Let i(g) = -2*d(g) - 5*u(g). What is a in i(a) = 0?
-1, 0
Let s(o) be the second derivative of 3*o**7/70 + o**6/10 + 3*o**5/100 - o**4/20 + 4*o. Factor s(x).
3*x**2*(x + 1)**2*(3*x - 1)/5
Let b(k) be the third derivative of 0*k**5 + 0 + k**2 + 0*k + 0*k**4 + 1/140*k**7 + 0*k**3 - 1/80*k**6. Determine z so that b(z) = 0.
0, 1
Let n(f) = -f**2 + 7*f - 8. Let i be n(4). Let r be i + (540/16)/(-9). Let h**2 + 0 + r*h**3 + h = 0. Calculate h.
-2, 0
Let j(s) be the third derivative of -s**8/504 - s**7/105 - s**6/90 + s**5/45 + s**4/12 + s**3/9 + 5*s**2. Suppose j(i) = 0. What is i?
-1, 1
Let l = 89 + -89. Let t(z) be the first derivative of -1/9*z**6 + 1/6*z**4 - 3 + 0*z**5 + 0*z**3 + l*z**2 + 0*z. Factor t(f).
-2*f**3*(f - 1)*(f + 1)/3
Let l(z) = 39*z**5 + 6*z**4 - 158*z**3 - 10*z**2 + 41*z - 8. Let w(s) = s**5 + s**4 - s**3 - s. Let c(k) = -5*l(k) + 15*w(k). Suppose c(n) = 0. What is n?
-2, -2/3, 1/4, 1/3, 2
Factor 0*p + 0 + 2/7*p**2.
2*p**2/7
Let t(j) be the second derivative of 0 + 0*j**2 + 3/100*j**5 - 1/10*j**3 + 0*j**4 + j. Find k, given that t(k) = 0.
-1, 0, 1
Let x(n) be the second derivative of n**5/240 - n**4/16 + 3*n**3/8 + 3*n**2/2 + 2*n. Let o(h) be the first derivative of x(h). Let o(g) = 0. Calculate g.
3
Let d(b) = -b**2 - b. Let i(u) = -4*u**2 - 2. Let w(z) = -3*d(z) + i(z). Suppose w(y) = 0. What is y?
1, 2
Let y = 25/6 - 4. Let j(m) be the second derivative of -y*m**4 - 3*m - 1/40*m**5 - 5/12*m**3 - 1/2*m**2 + 0. Factor j(q).
-(q + 1)**2*(q + 2)/2
Let i(w) be the second derivative of w**5/70 - w**4/21 + w**3/21 - 10*w. Factor i(t).
2*t*(t - 1)**2/7
Let v = 592/2637 - 2/879. Factor 0 + 0*u**2 - v*u + 2/9*u**3.
2*u*(u - 1)*(u + 1)/9
Let p be 2/(-3 + (-14)/(-4)). Let 54*q**2 - 24*q**3 + 8 - q**3 - 44*q + 8*q**4 - p*q**4 = 0. What is q?
1/4, 2
Let i(f) = f**2 - 3*f - 2. Let b be i(-1). Suppose -b*g = -0*g. Let 0 - 2/5*c**5 + 0*c**2 + 2/5*c**3 + g*c**4 + 0*c = 0. What is c?
-1, 0, 1
Factor -8/3 - 16/3*a + 2/3*a**4 + 4/3*a**3 - 2*a**2.
2*(a - 2)*(a + 1)**2*(a + 2)/3
Suppose -5*r - 28 + 38 = 0. Let m(u) be the first derivative of -2/21*u**3 - 3 - 4/7*u + 3/7*u**r. Factor m(h).
-2*(h - 2)*(h - 1)/7
Let b(a) be the second derivative of -a**5/30 + a**4/6 - a**2 + a. Let p(q) be the first derivative of b(q). Determine n so that p(n) = 0.
0, 2
Let f(i) be the third derivative of -i**7/5040 - i**6/720 - i**5/240 - i**4/24 + 3*i**2. Let y(v) be the second derivative of f(v). Factor y(z).
-(z + 1)**2/2
Factor 3/4 - 7/8*c + 1/8*c**2.
(c - 6)*(c - 1)/8
Let -1/2 + 3/4*k**2 - 1/4*k = 0. What is k?
-2/3, 1
Factor 1 + 7*y - y**2 - 9*y - 2.
-(y + 1)**2
Factor 0*z - 8/5*z**4 + 0 - 26/5*z**3 - 6/5*z**2.
-2*z**2*(z + 3)*(4*z + 1)/5
Let z(n) = 4*n + n**2 - 4*n. Let k be 1/(-2 - (-2 + -1)). Let h(t) = -10*t**2 - 2. Let y(i) = k*h(i) + 12*z(i). Determine p so that y(p) = 0.
-1, 1
Let i = -62 + 65. Let o(t) be the second derivative of -i*t + 0*t**3 + 1/12*t**4 + 0 + 0*t**2. Factor o(n).
n**2
Determine z so that 1/9*z**3 + 0 + 0*z + 0*z**2 = 0.
0
Let k(i) be the third derivative of i**8/336 + i**7/21 + 3*i**6/10 + 14*i**5/15 + 4*i**4/3 - 2*i**2 - 43*i. Suppose k(l) = 0. What is l?
-4, -2, 0
Let i = -578/5 - -116. Suppose 0 = -0*o + o. Determine h, given that 0 + o*h - i*h**2 = 0.
0
Suppose -2*b = -6*n + n + 30, -5*n + 40 = -4*b. Let v = b - -8. Factor 0*r**v + r**3 - r**3 + r**3.
r**3
Suppose 6*j - 3 - 15/4*j**2 + 3/4*j**3 = 0. What is j?
1, 2
Suppose -5*p - 7 = -17. Factor 1/2 + 3*b**p + 9/4*b**3 - 11/4*b.
(b + 2)*(3*b - 1)**2/4
Let q be (0/(-8))/6*2/4. Factor -1/5*m**2 - 1/5*m**3 + q*m + 0.
-m**2*(m + 1)/5
Let n be (-15)/(-3)*(1 - 0). Let a(c) be the third derivative of 0 + 1/420*c**6 + 1/84*c**4 - 1/105*c**n + 0*c**3 + 0*c + c**2. Let a(t) = 0. Calculate t.
0, 1
Let s be 3/(-1) + ((-25)/(-15) - -2). Factor 5/3*i**3 + s*i - 7/3*i**2 + 0.
i*(i - 1)*(5*i - 2)/3
Suppose 3*m - i - 3 + 2 = 0, -3*i + 15 = 0. Solve -2/3 + m*b - 2*b**2 + 2/3*b**3 = 0.
1
Suppose 0*h = h. Let p(c) be the first derivative of h*c - 3/10*c**5 - 1/6*c**3 - 3/8*c**4 - 1/12*c**6 + 0*c**2 - 2. Solve p(d) = 0 for d.
-1, 0
Factor -106*w - 238*w**2 + 26*w**3 - 124*w**3 - 100*w - 50 + 16*w.
-2*(w + 1)*(7*w + 5)**2
Suppose -5*j - 31 = -1. Let c = -1 - j. Factor 3*u**4 - u + 0*u**5 - 3*u**2 - u**4 + u**2 + u**c.
u*(u - 1)*(u + 1)**3
Let f(y) = y**2 - 7*y + 3. Let l be f(7). Find d, given that 2*d - 5*d**3 + l*d**5 - d**5 + d**3 = 0.
-1, 0, 1
Let p(l) be the second derivative of l**5/6 - 5*l**4/36 + 32*l. Determine g, given that p(g) = 0.
0, 1/2
Let x(a) be the first derivative of -4*a**3/3 + 6*a**2 + 1. Let x(z) = 0. What is z?
0, 3
Let i(k) = k**2 - 4*k + 4. Let j be (4 - 1) + 1 + 0. Let o be i(j). Find l, given that l**3 - o*l**4 + 3*l**4 - l**5 - l**2 + 2*l**4 = 0.
-1, 0, 1
Suppose -2 = 3*z - 5. Factor -7/4*j**2 - z - 4*j.
-(j + 2)*(7*j + 2)/4
Let g = -2/241 - -251/1205. Solve g*z**2 + 1/5*z**3 - 1/5*z - 1/5 = 0.
-1, 1
Let z(j) be the second derivative of -j**5/150 + j**4/90 + 2*j**3/45 + 26*j. Find c such that z(c) = 0.
-1, 0, 2
Let b(f) be the second derivative of -f**5/10 + f**4/3 + f**3/3 - 2*f**2 - 7*f. Determine r so that b(r) = 0.
-1, 1, 2
Let m(q) be the first derivative of 4/3*q**2 + 84/5*q**5 + 49/9*q**6 | {
"pile_set_name": "DM Mathematics"
} |
1?
True
Is 282157284 a multiple of 23?
True
Does 8162 divide 934951060?
False
Is 66 a factor of 50804886?
True
Is 461532078 a multiple of 15?
False
Does 13 divide 21200645?
False
Is 1986 a factor of 68590221?
False
Is 63300791 a multiple of 13?
False
Does 10 divide 35506000?
True
Is 16 a factor of 101244624?
True
Does 2933 divide 800753628?
False
Does 82 divide 63562874?
True
Is 29411472 a multiple of 10?
False
Is 147 a factor of 417516897?
True
Is 4 a factor of 126768488?
True
Is 8 a factor of 106013384?
True
Is 204656012 a multiple of 484?
True
Is 2312 a factor of 759461944?
True
Is 3007602 a multiple of 900?
False
Does 67 divide 396042427?
True
Is 48128619 a multiple of 10?
False
Does 63 divide 108171000?
True
Does 25 divide 1822813489?
False
Does 6 divide 38627956?
False
Is 292213221 a multiple of 53?
True
Does 3263 divide 831859431?
True
Is 885592935 a multiple of 603?
True
Is 13 a factor of 93751515?
True
Is 945899013 a multiple of 4?
False
Is 1245 a factor of 182002472?
False
Is 89 a factor of 27248863?
True
Is 1399 a factor of 42828385?
False
Is 396 a factor of 3962160972?
True
Is 190 a factor of 4106477?
False
Is 108939139 a multiple of 3?
False
Is 12591000 a multiple of 120?
True
Is 21304714 a multiple of 21?
False
Is 93069779 a multiple of 2321?
True
Does 472 divide 55681368?
True
Does 146 divide 31652105?
False
Is 39 a factor of 513789044?
False
Does 3138 divide 124632826?
False
Is 61 a factor of 702537714?
False
Does 2623 divide 1067141320?
True
Does 17 divide 892635864?
True
Is 51507456 a multiple of 32?
True
Is 5499 a factor of 1812767346?
True
Is 171725740 a multiple of 915?
False
Is 1873 a factor of 724320941?
True
Does 228 divide 749047260?
True
Is 1455481718 a multiple of 13?
False
Is 7119 a factor of 1882425009?
False
Is 114666014 a multiple of 127?
True
Is 584316432 a multiple of 111?
True
Is 24 a factor of 452573705?
False
Does 174 divide 14779908?
True
Is 479 a factor of 20389593?
True
Does 261 divide 93895811?
False
Is 127 a factor of 221682925?
False
Is 80 a factor of 30031543?
False
Is 1063896001 a multiple of 46?
False
Does 1317 divide 4395352186?
False
Does 5 divide 999440272?
False
Does 2 divide 5682680?
True
Is 10 a factor of 636999411?
False
Does 16 divide 226411371?
False
Does 9 divide 39139659?
True
Does 1962 divide 5409234?
True
Is 1287580812 a multiple of 218?
True
Is 1075844319 a multiple of 4213?
True
Does 218 divide 100122822?
True
Does 1752 divide 88759824?
True
Does 808 divide 460412485?
False
Is 95403111 a multiple of 43?
True
Is 596308765 a multiple of 157?
True
Is 7106 a factor of 4183773842?
False
Is 28451699 a multiple of 513?
False
Is 22 a factor of 3059335246?
True
Is 3163008250 a multiple of 58?
True
Does 66 divide 148588270?
False
Is 5614 a factor of 239914290?
True
Is 106559925 a multiple of 1095?
True
Does 682 divide 4012888?
True
Is 76950989 a multiple of 5?
False
Is 398 a factor of 27050958?
False
Is 10 a factor of 1598420?
True
Is 2403 a factor of 62083908?
True
Is 639 a factor of 71127090?
True
Is 7 a factor of 66409760?
False
Is 920631300 a multiple of 282?
True
Is 57322346 a multiple of 33?
False
Is 12 a factor of 137811153?
False
Is 4367 a factor of 2465844018?
True
Does 23 divide 282488723?
False
Does 29 divide 932007112?
False
Is 334 a factor of 25308850?
True
Is 15 a factor of 1006380262?
False
Does 1309 divide 21616082?
False
Is 90378954 a multiple of 3323?
True
Does 5 divide 144360456?
False
Is 2757 a factor of 60381057?
True
Is 37 a factor of 18645613?
False
Does 28 divide 296107731?
False
Is 15 a factor of 2068452141?
False
Is 15 a factor of 840167744?
False
Is 5 a factor of 146604272?
False
Is 9389715 a multiple of 1005?
True
Is 8 a factor of 351616976?
True
Is 67450129 a multiple of 5?
False
Is 2001938787 a multiple of 787?
False
Does 2831 divide 79140065?
False
Is 555874 a multiple of 121?
True
Is 375 a factor of 1350909750?
True
Does 600 divide 14245843?
False
Is 302338240 a multiple of 16?
True
Does 2711 divide 206052266?
True
Is 235 a factor of 2053469480?
True
Does 138 divide 27172426?
False
Is 62711184 a multiple of 48?
True
Is 251552444 a multiple of 26?
True
Is 81106670 a multiple of 7?
False
Is 3409858063 a multiple of 88?
False
Is 12059776 a multiple of 16?
True
Does 1166 divide 41357639?
False
Does 471 divide 411793982?
False
Does 134 divide 1602281282?
True
Is 1497835757 a multiple of 101?
True
Does 1436 divide 771054471?
False
Is 88054845 a multiple of 45?
False
Does 11 divide 765087180?
True
Does 1414 divide 49398937?
False
Is 49777791 a multiple of 1363?
False
Does 15 divide 29273119?
False
Does 260 divide 10245040?
True
Is 1403148721 a multiple of 114?
False
Does 197 divide 3017375?
False
Is 52 a factor of 343982392?
True
Does 3133 divide 371821048?
False
Does 332 divide 5747501996?
True
Is 154 a factor of 67351284?
True
Is 135 a factor of 2298768?
False
Is 71387779 a multiple of 2?
False
Does 97 divide 31544822?
False
Is 35699906 a multiple of 779?
False
Is 23495304 a multiple of 147?
True
Does 74 divide 380317194?
False
Is 1094 a factor of 443786796?
False
Does 7 divide 24303525?
False
Is 267 a factor of 153705462?
False
Does 217 divide 79805656?
True
Does 81 divide 29316168?
True
Is 20 a factor of 83496520?
True
Is 90 a factor of 5836953806?
False
Is 4168179 a multiple of 49?
False
Does 5529 divide 1786237443?
True
Does 31 divide 158211383?
True
Is 87 a factor of 2137898605?
False
Is 22 a factor of 35656310?
False
Is 2552755440 a multiple of 120?
True
Does 1184 divide 583180110?
False
Does 222 divide 103871528?
False
Does 5375 divide 1184822000?
True
Does 37 divide 474896?
False
Is 1146496 a multiple of 32?
True
Does 19 divide 2849392?
True
Is 92 a factor of 432267380?
False
Does 154 divide 30176454?
True
Is 3307199 a multiple of 97?
False
Is 125 a factor of 317847750?
True
Is 5143632 a multiple of 39?
True
Is 137966373 a multiple of 37?
False
Does 12 divide 64370833?
False
Is 13147396 a multiple of 503?
False
Is 13904170 a multiple of 5?
True
Is 37 a factor of 834683?
True
Is 1025 a factor of 172472650?
True
Does 29 divide 44188064?
False
Is 22 a factor of 48047301?
False
Is 13192790 a multiple of 13?
True
Is 286 a factor of 42830502?
True
Does 256 divide 7138304?
True
Does 78 divide 330537090?
True
Does 126 divide 561188958?
False
Is 167904064 a multiple of 608?
True
Does 2527 divide 234121496?
True
Is 26 a factor of 23025355?
False
Does 328 divide 66522992?
True
Does 19 divide 708339?
True
Is 571743260 a multiple of 17?
False
Is 123947197 a multiple of 11?
True
Is 99570644 a multiple of 5?
False
Is 11864832 a multiple of 21?
True
Is 20376258 a multiple of 21?
True
Is 1965 a factor of 311727600?
True
Does 2667 divide 203696531?
False
Does 85 divide 1153972438?
False
Is 21190381 a multiple of 1788?
False
Does 46 divide 8700798?
False
Is 24603304 a multiple of 1234?
False
Is 25188919 a multiple of 210?
False
Is 47 a factor of 8394858?
True
Does 11 divide 6018055?
False
Is 35 a factor of 202226430?
True
Is 58 a factor of 1028420388?
True
Is 347372337 a multiple of 23?
False
Does 75 divide 4425825?
True
Is 2490449790 a multiple of 3748?
False
Does 5545 divide 1171945236?
False
Is 1329 a factor of 172316811?
True
Is 3 a factor of 35813926?
False
Is 101 a factor of 13502791?
True
Does 84 divide 521278183?
False
Does 408 divide 231318507?
False
Does 47 divide 289991598?
True
Does 5018 divide 794881308?
True
Is 368 a factor of 4717010?
False
Is 37 a factor of 12265204?
True
Is 650 a factor of 71774586?
False
Does 64 divide 4558912?
True
Is 2188157553 a multiple of 219?
True
Does 44 divide 1010275917?
False
Is 706 a factor of 35861272?
False
Is 87 a factor of 109378228?
False
Is 83 a factor of 728708918?
False
Is 297308790 a multiple of 9?
True
Is 38008585 a multiple of 571?
False
Is 61725683 a multiple of 4?
False
Does 3016 divide 74027720?
True
Does 24 divide 485578488?
True
Is 4467 a factor of 460078665?
True
Is 40250022 a multiple of 419?
False
Is 89902953 a multiple of 459?
True
Does 25 divide 11637466?
False
Does 1307 divide 17408228?
False
Is 3 a factor of 86242197?
True
Is 168 a factor of 23783511?
False
Is 23 a factor of 1730647?
False
Is 319215512 a multiple of 28?
True
Is 25326673 a multiple of 177?
False
Is 73948972 a multiple of 1706?
False
Is 3387 | {
"pile_set_name": "DM Mathematics"
} |
less than or equal to 61266?
True
Which is bigger: 10731784 or -0.1?
10731784
Which is smaller: -129500.5 or 2/5?
-129500.5
Which is smaller: 2/7 or -50.98611?
-50.98611
Which is smaller: 0 or -4113/7811?
-4113/7811
Do -767921 and -767932 have the same value?
False
Is 119639/1607 equal to 73?
False
Which is greater: 1/5 or -27589/239?
1/5
Which is bigger: -0.037037 or -10721?
-0.037037
Is -19938033 <= -19938053?
False
Is -1372760 at least 0.08?
False
Is -17533444 less than -17533444?
False
Is 55/3827124 greater than 1?
False
Which is smaller: 2 or -94478915?
-94478915
Is -158372729 at least as big as -158372730?
True
Is 547925 equal to -53/12?
False
Does 0 = -4/206935509?
False
Which is bigger: -13860203 or -1?
-1
Which is greater: -4861986 or -4861987?
-4861986
Is -986741 less than or equal to -986739?
True
Is -12348 at most as big as -14062?
False
Which is smaller: -0.62361 or 0.369?
-0.62361
Which is smaller: 2921738 or 2921736?
2921736
Is -3199 != 59797?
True
Is 0.3 at least 3825.19?
False
Which is smaller: 86 or -51965?
-51965
Which is smaller: 0 or -12/7052567?
-12/7052567
Is -176358 greater than -176360?
True
Is 113945 greater than or equal to 4215978/37?
False
Which is greater: -25 or 48066.058?
48066.058
Is -4531259 bigger than -4531260?
True
Which is smaller: 60731 or 61175?
60731
Which is smaller: 729451 or 1/29?
1/29
Which is smaller: -817668430/11 or -74333495?
-74333495
Which is greater: 6179 or 11043?
11043
Which is smaller: -0.33724 or -8.958?
-8.958
Is -256393576 at least -256393576?
True
Is -115496/745 bigger than -156?
True
Which is bigger: 3/139227082 or 1?
1
Is -0.8 at least -0.04550049?
False
Is 3744059 greater than -4?
True
Is -1676255 > -1676262?
True
Which is smaller: 988974 or 988978?
988974
Which is bigger: -7 or -45099/235?
-7
Is 398877/1340 at least 297?
True
Which is bigger: 29922886 or 29922887?
29922887
Is 7/3807553 not equal to -1?
True
Is -105/7736678 less than -1?
False
Which is smaller: -969565 or 0.13?
-969565
Is -63354 smaller than 62.1?
True
Is -70217 >= -70485?
True
Is -243144080 <= -243144078?
True
Is 0 at most -54091/3176?
False
Which is smaller: 1811351/12 or 150947?
1811351/12
Which is greater: 8927/9625 or 0?
8927/9625
Is 18241 != 456006/25?
True
Which is smaller: -5572/16267 or 0?
-5572/16267
Is 1449/794546 < 1?
True
Which is smaller: -7304262 or -0.09?
-7304262
Which is smaller: 0 or 7/78996061?
0
Are -8/575303 and -3 nonequal?
True
Which is greater: -536487 or -536669?
-536487
Is 66 smaller than 70518/1061?
True
Is -937/43655 greater than 0?
False
Does 0 = -17807/117525?
False
Which is greater: -477127816 or -477127817?
-477127816
Do -839991619 and -839991618 have different values?
True
Which is smaller: -1 or 158203715.6?
-1
Which is greater: 142 or 271720/1927?
142
Is -2 >= -324.6686?
True
Is -8/100712101 at most as big as -1?
False
Does -379.8348 = 1?
False
Does -1044389 = -1044531?
False
Is -66186 less than or equal to -66074?
True
Which is greater: 8/27793601 or 1?
1
Is -4362812 > -4362834?
True
Are -270702/115 and -2353 nonequal?
True
Is -72/427 < -3/665?
True
Which is bigger: -3/160387877 or 0?
0
Which is smaller: 2395 or 4358?
2395
Which is smaller: 36486 or 32282?
32282
Which is smaller: -1304/291813 or -1?
-1
Is 1 at least as big as 260/6173?
True
Is 0 at most 142/7215893?
True
Which is greater: 9024187 or 9024182?
9024187
Which is bigger: -118/321483 or 0?
0
Which is bigger: -1 or -2/786069021?
-2/786069021
Which is greater: -2/84337 or 2319?
2319
Is 47756/15543 > 2?
True
Which is smaller: -568253 or -568251?
-568253
Which is smaller: 1 or 921/13826?
921/13826
Which is bigger: 68668 or 66829?
68668
Is 0 at most -10/10151437?
False
Which is smaller: 3/12986044 or 1?
3/12986044
Is -97528 smaller than -487634/5?
True
Which is smaller: 7739/14380 or 0?
0
Which is smaller: 0 or -1/425834655?
-1/425834655
Which is smaller: 251301 or 251028?
251028
Is 99118735 at most as big as 99118739?
True
Which is smaller: 126608 or 126609?
126608
Is -10696 bigger than -8281?
False
Which is bigger: -2049491 or -2049488?
-2049488
Which is greater: 47.56995 or -2/7?
47.56995
Is 1 at most -491476/15?
False
Which is smaller: 3668 or -7799?
-7799
Are -0.0387659 and 96 unequal?
True
Are 420/133607 and -1 equal?
False
Which is smaller: 7415 or -17300?
-17300
Which is smaller: 21582/529 or -2?
-2
Which is smaller: -128512 or -2297?
-128512
Is 15/827866 less than or equal to 0?
False
Is -1 greater than 940/1124111?
False
Which is smaller: 1 or -4/1244899813?
-4/1244899813
Which is smaller: -4/5357579 or 0?
-4/5357579
Are 8015239 and -2 nonequal?
True
Is -64016632 greater than or equal to -64016632?
True
Are 172455819 and 172455820 unequal?
True
Which is smaller: -1 or -1/34680414?
-1
Is -568/88825 < 0?
True
Which is bigger: -1 or -3/6877297?
-3/6877297
Which is bigger: 8557863 or 8557864?
8557864
Is 40705559 <= 40705552?
False
Is 8100203 equal to 8100204?
False
Is 49.03784 less than -4?
False
Which is greater: 14900 or 14800?
14900
Is 1306922 less than or equal to 1.3?
False
Is 13721432 > 13721435?
False
Which is smaller: 1 or 5428/24977?
5428/24977
Which is bigger: 0 or 2/44433493?
2/44433493
Which is bigger: -2 or 1286756495?
1286756495
Is 1 <= -2/2110274907?
False
Is 34246 >= 15651?
True
Does -1419.421 = 16?
False
Which is bigger: -142524 or -142603?
-142524
Is 368 > -13802?
True
Which is bigger: 1 or 2930/77483?
1
Which is greater: 12358 or 3546958/287?
3546958/287
Which is greater: 0.3 or -2.86036?
0.3
Which is greater: 0.133 or 193/103?
193/103
Is 294434 bigger than 9716330/33?
False
Which is smaller: 9/1382 or -66668?
-66668
Is -18846129 greater than or equal to -18846129?
True
Is -0.5 at most as big as -44290390?
False
Which is smaller: -61224299 or -61224297?
-61224299
Which is smaller: 0.236 or 5296?
0.236
Is 8039637 smaller than 8039666?
True
Which is smaller: 722128/111 or 6505?
6505
Which is smaller: 274/4153 or 2?
274/4153
Do -44 and -110480/2549 have the same value?
False
Is -215893795 not equal to -215893795?
False
Which is smaller: -1 or 1804/62053?
-1
Is 7774947 greater than 7774960?
False
Are 954148 and 1 unequal?
True
Which is smaller: -67331 or -1795?
-67331
Is 1 greater than -13/642338?
True
Is 53 <= 120607/2263?
True
Which is bigger: 4/131 or -116974?
4/131
Is 1 less than or equal to 29859/35111?
False
Which is smaller: 41590 or 34535?
34535
Is 10 equal to 20124450?
False
Is -750916 equal to -750918?
False
Which is greater: -8237760 or -24713284/3?
-8237760
Which is smaller: -42277 or 414?
-42277
Which is smaller: 0 or -2/368648687?
-2/368648687
Which is greater: -170/40581 or -1?
-170/40581
Is -7569 at least -204373/27?
True
Which is greater: -39208844 or -39208845?
-39208844
Which is smaller: 1143 or 11922?
1143
Which is smaller: 1288 or -378?
-378
Is -2/10449 smaller than -5916?
False
Is 44/55735 greater than 2/149?
False
Are 63081517 and 63081516 equal?
False
Which is greater: 1152/76579 or 0?
1152/76579
Which is smaller: -12030 or -5886?
-12030
Which is smaller: -122.77 or 679?
-122.77
Is 2.14 not equal to 0.58515?
True
Which is smaller: 0 or 18/162301861?
0
Is -81017 > -81016?
False
Which is bigger: 13695758 or 13695754?
13695758
Which is greater: 175978 or 2991639/17?
2991639/17
Is -654766503 smaller than -654766503?
False
Is 1 at most 5131036?
True
Is 59/450995 <= 0?
False
Which is smaller: 1/59367326 or -1?
-1
Is -0.081549 bigger than 0.33?
False
Which is smaller: -0.0185 or -561579?
-561579
Is -604871 at most -605180?
False
Is 34133565 != 34133568?
True
Is -6998 less than 512?
True
Which is greater: 13558 or 12792?
13558
Which is greater: 1 or -2/415959045?
1
Which is smaller: -348878943/4 or -87219736?
-87219736
Is -2145897 >= -6437692/3?
True
Which is greater: 0 or -135426.685?
0
Are 42940 and -1985 non-equal?
True
Which is greater: -1 or 1395/37753?
1395/37753
Which is greater: 0 or 64/891?
64/891
Is -1681/7 at least 0.953?
False
Which is bigger: -137607672 or -137607669?
-137607669
Which is smaller: -12464805/11 or -1133164?
-12464805/11
Which is greater: 9414 or 7153?
9414
Which is greater: 1 or -4848/14273?
1
Is 0 bigger than 2/1138205627?
False
Which is bigger: -8253833 or 0?
0
Which is smaller: 541931 or 541845?
541845
Is -6407/5 bigger than -0.6289?
False
Is 5100 > 43 | {
"pile_set_name": "DM Mathematics"
} |
-0.1?
-442
What is the third biggest value in -1/3, 0.2, 0.26, -2/31?
-2/31
What is the third biggest value in -0.5, 5/4, 104, -37?
-0.5
Which is the fifth smallest value? (a) 1 (b) -7 (c) 2/7 (d) -1 (e) 3 (f) -7282
a
What is the biggest value in -2/9, 382, 13/2?
382
What is the fourth biggest value in -4, -2/137, -1, -0.0972, -2/21?
-1
What is the smallest value in 1/3, -2, 1/11, -0.40242?
-2
What is the second biggest value in 1, -42, -4, 0, 3, 4?
3
What is the second biggest value in -4, 3, 2958/95?
3
What is the third smallest value in -4/71, 4/5, -0.5, -3, 1/4?
-4/71
What is the sixth smallest value in 0.4, -1, -92/9, 2/7, -0.2, 4?
4
What is the third smallest value in -0.08, 0, 17912?
17912
Which is the smallest value? (a) 2385 (b) -2.9 (c) -0.08
b
Which is the second smallest value? (a) -3/17 (b) -2 (c) -860
b
Which is the biggest value? (a) 0.1 (b) 22947 (c) 3/5
b
Which is the third smallest value? (a) -0.4 (b) -2/9 (c) 427 (d) 7
d
What is the fourth smallest value in -0.2, -0.1, -3/5, -201?
-0.1
Which is the second biggest value? (a) 2/3 (b) -5.7 (c) 1 (d) -5 (e) -0.65 (f) 0.4
a
What is the second smallest value in 1, -941, -59?
-59
Which is the fifth smallest value? (a) 3 (b) -1119 (c) 0.4 (d) -3 (e) 2 (f) -1
e
Which is the fourth smallest value? (a) 16 (b) 24 (c) -2/3 (d) -32
b
Which is the fifth biggest value? (a) 1/17 (b) 202 (c) 1 (d) -1 (e) 1/8
d
What is the third biggest value in 14, 47, -0.05?
-0.05
Which is the second biggest value? (a) 31 (b) -1/2 (c) -81
b
Which is the third smallest value? (a) -15/2 (b) -2/5 (c) -3/2 (d) 6
b
What is the fourth biggest value in 3/8, -16, 50, 3.7?
-16
What is the fifth smallest value in 2/59, -1, 0.7, 0.3, 0, 14?
0.7
What is the third smallest value in 4, -2/5211, 3?
4
Which is the second biggest value? (a) -2 (b) 0.5 (c) -5 (d) 2 (e) 1323
d
What is the fourth biggest value in 2/9, -1/3, 20408, 1/7, 3, 0?
1/7
Which is the biggest value? (a) 0.04 (b) 2031 (c) -1/3 (d) -0.3
b
Which is the third smallest value? (a) 1/17 (b) 5 (c) 70 (d) -2/7
b
What is the second smallest value in 21, -2/47, -67?
-2/47
What is the third biggest value in -0.3, 1, 519, -4, -2/17, 0.5?
0.5
Which is the biggest value? (a) 3/5 (b) 2 (c) 12 (d) -2351
c
What is the smallest value in 0.76, -160, 5?
-160
What is the fourth smallest value in -0.3, -6, -0.04, -2/3, 0.34, 2/7?
-0.04
Which is the third biggest value? (a) -3/5 (b) 0.202 (c) 0 (d) 5 (e) -1
c
Which is the third smallest value? (a) 1/355 (b) 11 (c) 0.2 (d) -1.9
c
Which is the second smallest value? (a) 0.4169 (b) 0.3 (c) 0
b
What is the third smallest value in -1937/6, -2/11, 3?
3
Which is the biggest value? (a) -5062 (b) -1/3 (c) -1/2
b
Which is the second biggest value? (a) 2/56693 (b) 1 (c) 3 (d) 5 (e) -2/3
c
What is the fourth smallest value in 1/4, 1, 87, 0.3, 28, -7?
1
What is the fourth smallest value in -0.18, 1, -5, 1/6, 2/21?
1/6
What is the second biggest value in -1/2949, -0.2, -0.39?
-0.2
Which is the second smallest value? (a) -1 (b) -62 (c) 0.5 (d) -6/7 (e) -12
e
Which is the sixth smallest value? (a) 1.2 (b) 6 (c) 2 (d) 148 (e) -0.5 (f) 0.1
d
Which is the fourth biggest value? (a) -3 (b) -1 (c) -4 (d) -2 (e) -1/1351
a
Which is the third smallest value? (a) 4 (b) 2/7 (c) 83/4 (d) -0.036 (e) -5
b
Which is the second smallest value? (a) -590 (b) 14/9 (c) 5
b
What is the third biggest value in -2/7, -6/151, 0.2, 3/25?
-6/151
Which is the fourth smallest value? (a) 0.0679 (b) 1.1 (c) -21 (d) -4 (e) 3/5
e
What is the second biggest value in -1, -3/2, 1.204?
-1
What is the biggest value in -33/16, -4, -0.06, 0, 4?
4
Which is the second smallest value? (a) -25 (b) 1/10 (c) -3/32
c
What is the second biggest value in 15, -0.2, 396?
15
What is the fourth biggest value in -1/3, -4, -15.2, -0.4?
-15.2
Which is the second biggest value? (a) -131 (b) -0.4 (c) 171
b
Which is the second biggest value? (a) -11/5 (b) -5 (c) 2/11 (d) -123
a
Which is the second smallest value? (a) 2/155 (b) -2/33 (c) 2/929
c
Which is the third biggest value? (a) 0.4 (b) -5 (c) -33 (d) -50
c
Which is the third biggest value? (a) -7 (b) 3/5 (c) -4 (d) -8
a
What is the third smallest value in 5, 3.7, 3617?
3617
Which is the smallest value? (a) -3 (b) -5 (c) 0.0078 (d) 1
b
Which is the third biggest value? (a) 1 (b) -36979 (c) 2 (d) -0.1
d
What is the second smallest value in -5, -195/2, 7.5?
-5
What is the third biggest value in -1/11, -1/6, -2/69, 0, 1?
-2/69
What is the biggest value in 63/5, 0.1, -3/109?
63/5
What is the fourth smallest value in 1/2, -0.05, 184, -3/4, 5?
5
Which is the sixth smallest value? (a) 2/5 (b) -2/5 (c) -1/2 (d) 3 (e) -53 (f) -0.19
d
What is the fourth smallest value in -0.1, 1.7, -5, 8671?
8671
Which is the smallest value? (a) 2/7 (b) -3 (c) 3 (d) 0.15859
b
Which is the smallest value? (a) -0.5 (b) 16 (c) 1/2 (d) -2
d
Which is the fourth biggest value? (a) -3.5 (b) 22 (c) 0 (d) -2/3
a
What is the fifth smallest value in 26, -9, -19, -0.02, -0.2, -0.4?
-0.02
Which is the third smallest value? (a) -5 (b) 0.35 (c) -1/4 (d) 69 (e) 1
b
Which is the smallest value? (a) -72/635 (b) 1/4 (c) -0.43 (d) -1/4
c
What is the second biggest value in 0.2, 878, 0.99?
0.99
Which is the third smallest value? (a) 0.4 (b) -40 (c) -0.1 (d) -0.11 (e) -2/3
d
What is the third biggest value in -1/2, 20.8646, -2/21, 3?
-2/21
Which is the fourth biggest value? (a) 2/7 (b) -2/17 (c) -8 (d) -0.02 (e) 1 (f) -2
b
Which is the biggest value? (a) 9 (b) -0.3 (c) 101
c
What is the biggest value in -4, 1, 0.4, -50, -15/4?
1
Which is the smallest value? (a) -2 (b) -5 (c) 2 (d) -0.13 (e) -1.38
b
Which is the smallest value? (a) -0.2 (b) 11987/21 (c) 4/3
a
What is the sixth smallest value in 5, 3, 0.5, -0.4, -5/6, -4470?
5
What is the second biggest value in -1.6, 9, -590, 1?
1
What is the third biggest value in -4/3, 1619, -1?
-4/3
What is the fifth biggest value in 0.4, -5, -0.044, 4, -24, -4/7?
-5
Which is the third smallest value? (a) -3506 (b) 2 (c) -1/30 (d) -4/7
c
Which is the biggest value? (a) -3/5 (b) 0.21 (c) -3 (d) -0.1 (e) -98 (f) -5
b
Which is the smallest value? (a) 0 (b) 3/4 (c) 2430
a
What is the second biggest value in 5, -0.22, 3/4, 75, 19?
19
What is the second biggest value in 8707, 16, 4?
16
What is the second biggest value in -163, 11, 1, -0.02?
1
What is the sixth smallest value in -0.23, 5, -2/15, -14/9, -2, -1?
5
Which is the second smallest value? (a) 1153 (b) -109 (c) -3
c
Which is the fourth smallest value? (a) -1/4 (b) 23.2 (c) -7/38 (d) -3/7
b
Which is the second smallest value? (a) 0.0776 (b) 0.2 (c) 0.5 (d) 2/15
d
Which is the second biggest value? (a) 5 (b) 130 (c) -2 (d) -28
a
Which is the third smallest value? (a) 0.03 (b) -6 (c) 10/3 (d) -1/5 (e) -0.5 (f) -12
e
Which is the second smallest value? (a) -0.007 (b) 4/3 (c) 2/7 (d) -2/7 (e) 17
a
Which is the third biggest value? (a) 52 (b) -3 (c) -0.15 (d) 0.4
c
What is the third smallest value in 1/5, -1.2, -3, 97?
1/5
Which is the second biggest value? (a) -5 (b) -2/133 (c) -44 (d) 7
b
Which is the fifth biggest value? (a) 250 (b) 5 (c) -5 (d) -1/5 (e) -11 (f) 0.02
c
What is the second smallest value in 59, 47, -2/23?
47
What is the biggest value in -4, -1, 34/3, 117?
117
What is the smallest value in 179, 0.1, 2/13, 3?
0.1
What is the second biggest value in 1/2, 3/2, -3.9, -4.34?
1/2
What is the biggest value in 3, -0.2, -5/3, -2/7?
3
What is the smallest value in -1, -1/4, -3, 0.2, -20.9?
-20.9
What is the fourth smallest value in 2.8, 0.3, -21, 1.2, 14?
2.8
What is the fourth smallest value in -3, 3/13, 23, -52?
23
Which is the fifth smallest value? (a) 0.3 (b) 1/3 (c) -2/5 (d) -4.3 (e) -0.5 (f) -1/5
a
What is the smallest value in 16, 3, 2, -7/2?
-7/2
What is the second smallest value in -0.548, -4, -2/1123?
-0.548
What is the sixth biggest value in 3/4, -8, 1, -0.1, -1, -5?
-8
Which is the smallest value? (a) -1.7 (b) -8 (c) 12/11 (d) -4 (e) 34
b
Which is the sixth smallest value? (a) 3 (b) 0.4 (c) 32 (d) 61 (e) 0.3 (f) -4
d
What is the fourth | {
"pile_set_name": "DM Mathematics"
} |
l**2 + 96*l + 269. Let v be z(-3). Let m(h) = -h**2 - 51*h - 236. Give m(v).
-6
Let d(h) be the third derivative of 0 - 54*h**2 + 1/6*h**4 + 7/3*h**3 + 0*h. Determine d(-6).
-10
Let c(g) = 434 - 435 - 7*g**2 - 5*g**2. Let f be c(-1). Let a(n) = -n**3 - 12*n**2 + 14*n + 13. What is a(f)?
0
Let k(j) = j - 5. Let f(v) = -2*v + 31. Let s be f(13). Suppose 0 = -s*h - 231 - 59. Let a = 63 + h. Calculate k(a).
0
Let l(f) = f**3 - f**2 + f - 3. Let v be 12 + 6/(-3) + 1. Let m(g) = 2*g**2 - 34*g - 30. Let r be m(18). Suppose -v*a + r = 6. What is l(a)?
-3
Let k(h) = h**3 + h**2 + 1. Let c = 17 - 16. Let u(r) = -5*r**3 + 43*r**2 + 0 - 41*r**2 - 4*r**3 + 1. Let z(g) = c*k(g) - u(g). What is z(1)?
9
Suppose -2292 + 1116 = -59*l - 25*l. Let h(z) = -2*z**2 + 31*z + 24. Calculate h(l).
66
Let y(x) = -x - 4*x + 1207664 - 1207770. Determine y(-24).
14
Let q(r) = -16*r**2 - 30*r + 137. Let t(c) = -7*c**2 - 16*c + 68. Let p(s) = -4*q(s) + 9*t(s). Give p(3).
1
Let a(y) = 7*y - 10. Suppose -181*t - 284 = -1189. Give a(t).
25
Let b(a) = -a**3 - 7*a**2 - 7*a - 10. Let o(y) = -y**3 - 3*y**2 - 5*y - 6. Let s be o(-2). Suppose 14*l + 110 - 26 = s. Calculate b(l).
-4
Let x be -1 + -5 + 19 + -14. Let a be (2/3)/((7/x)/(-21)). Let i(f) = -101*f**2 - 6*f + a - 2 + 100*f**2. Determine i(-7).
-7
Let g = -24 + 15. Let t = g - -12. Let u(h) = 2*h**3 + 5*h**2 + 7*h - 2. Let o(p) = -3*p**3 - 9*p**2 - 13*p + 4. Let c(y) = -3*o(y) - 5*u(y). Give c(t).
1
Let h(v) = -2473*v + 4 + 1257*v - 16*v**2 + 1220*v. Give h(-2).
-68
Let y(d) = d**2 - 4*d - 149 + 77 + 77. Let x be y(3). Let t(k) = -6*k + 2. What is t(x)?
-10
Let m = 206 - 204. Let k(s) = s**3 + 13*s**2 - 9*s - 4. Let q(r) = r**3 + 2*r - 1. Let t(z) = m*q(z) - k(z). Calculate t(12).
14
Let n(y) = -y**2 + 5*y + 11. Suppose 11*b = 2*x - 2, x + 5*b - 24 = -2. What is n(x)?
-73
Suppose -16*h = -10*h - 24. Let k be 6/15 + h*7/5. Let b(y) = y**2 - 8*y - 3. Give b(k).
-15
Suppose 0 = 6*h - 354 + 126. Suppose -10*k = -12 - h. Let r(w) = 4 - 3 - 2*w + 5. Give r(k).
-4
Let v(y) = 9 - 3*y + 20*y + 13*y**2 + 1 + 2*y**2. Calculate v(-1).
8
Suppose -5*s = -2*c - 7, -5*s + 2*s = -3*c + 3. Let m(f) = -149*f - f**2 + 74*f - 3 + 76*f. What is m(s)?
-9
Let t(s) = -953*s**2 - 25*s - 19. Let f(q) = 1525*q**2 + 38*q + 29. Let g(a) = -5*f(a) - 8*t(a). Let k be -2*(2 + 0 - 6). Give g(k).
23
Let g(f) = -27*f + 91. Let h be g(-4). Let w = h + -184. Let c(j) = j - 16. Determine c(w).
-1
Suppose 11*x = -4*z + 6*x + 8, x - 2 = -z. Suppose 5*y + 4*l - 5 = 2*l, 4*y = 5*l + 4. Suppose -y = -z*o - 3. Let d(t) = -10*t + 1. Determine d(o).
11
Let o(m) be the first derivative of -m**4/2 + 19*m**3/3 - 3*m**2 - 21*m + 2101. Give o(9).
6
Let u be (-96)/(-56) - 2/(-7). Suppose 3 + u = -s. Let t(f) = -13*f + 9. Let n(d) = -20*d + 14. Let a(h) = 5*n(h) - 8*t(h). Calculate a(s).
-22
Let l(q) = q**3 + 2*q**2 - 5. Suppose d = -3*d + w - 19, -3*w + 17 = -2*d. Let f be 0/(d + -2) + 0. What is l(f)?
-5
Let i(y) = 26*y - 49. Let u be i(2). Let q(j) = -2*j**3 + 14*j**2 - 2*j + 10. Let w(t) = -3*t**3 + 16*t**2 - 3*t + 10. Let o(k) = u*w(k) - 4*q(k). Give o(-8).
-2
Suppose -5 = -2*m - g, -3*m + g - 3*g = -7. Let z(w) = 69*w. Let k(i) = -103*i + 1. Let t(d) = 2*k(d) + 3*z(d). Give t(m).
5
Let c(h) = 24 + 514*h - 38 + 14 - 512*h. Give c(-7).
-14
Let h(t) = -5*t - 43. Let k be h(-18). Suppose -7 = -3*m + k. Let l(i) = -1 + m*i + 8 - 17*i - 3. Give l(-9).
-5
Suppose 3*z = 2*f - 5, 5*f + 66 = -3*z + 5. Let b(d) = 8*d + 60. Give b(f).
-4
Let s = 19 - 2. Let m = -15 + s. Let n(b) = b**2 + m + 3 - 4 + 2*b - b. What is n(-3)?
7
Suppose -1270*n + 6 = 2*p - 1268*n, p = -4*n. Let w(h) be the third derivative of 0*h + 11*h**2 + 2/3*h**3 + 1/24*h**p + 0. Give w(-5).
-1
Let l(u) = -u. Let f(d) = 77 - 26*d - 209*d**3 - 19*d**2 + 207*d**3 - 40*d**2. Let s be f(-29). Give l(s).
10
Let q(d) be the first derivative of -15*d**4/4 - 2*d**3/3 - 5*d**2/2 - 4*d + 7430. Determine q(-2).
118
Let z be (0 - -1)*(-1 - -3). Let k(b) = -b**2 + z*b**2 - 9 - 3*b - 4*b + 0*b. Suppose 3*s - 21 = 3*j, 3*s - 2*j = 2*j + 20. What is k(s)?
-1
Let r(b) = 34*b + 12. Let a(p) = 60*p + 23. Let f(s) = 3*a(s) - 5*r(s). Give f(4).
49
Let n(r) = -2*r - 45. Let a(i) = i**2 - 87*i - 10565. Let v be a(-68). Calculate n(v).
5
Let k(c) = 23*c**3 - 13*c**2 + 7*c + 17. Let y(l) = -25*l**3 + 14*l**2 - 8*l - 18. Let s(m) = 12*k(m) + 11*y(m). Determine s(3).
3
Let h be 1/2*(-6)/9*66/(-2). Let a(d) = d - 29. What is a(h)?
-18
Let m(s) = -65*s + 96 - 42 + 8*s**2 - 27 + s**3 - 27. Determine m(5).
0
Let l(t) = -t**3 - t**2 + t - 18. Let p = -2125 + 2125. Give l(p).
-18
Let y(a) = 7*a**3 + 71*a**2 - 180*a + 131. Let z(x) = -5*x**3 - 48*x**2 + 119*x - 88. Let k(s) = 7*y(s) + 10*z(s). Calculate k(11).
-7
Let q(r) = 4*r + 32. Let t be (-663)/78 - 2/4. Calculate q(t).
-4
Let g(d) be the third derivative of -d**8/20160 - d**7/336 - 13*d**6/720 + d**5/12 - d**4/24 - 57*d**2. Let z(q) be the third derivative of g(q). Give z(-10).
37
Let x(d) = -d**3 - 16*d**2. Suppose 0 = 26*j + 90*j + 1856. Calculate x(j).
0
Suppose 2*i - 15 = 2*l - 23, 4*i + 6 = -l. Let p(g) = -6*g + 9. Calculate p(l).
-3
Let m(t) = -97*t**3 + 3*t**3 + 86*t**3 - 19*t**2 - 13 + 81*t + 9*t**3. What is m(12)?
-49
Let t(s) be the first derivative of s**4/2 + s**3 - s**2/2 - 2*s + 2. Let k(j) = j**3 + 28*j**2 - 36*j - 93. Let a be k(-29). Let g = a - 112. Give t(g).
-4
Let n(m) be the first derivative of m**4/12 + 2*m**3/3 - 5*m**2/2 + 127*m + 97. Let r(p) be the first derivative of n(p). Determine r(-6).
7
Let j(n) be the first derivative of 2*n**2 - 3*n + 2341. Give j(6).
21
Let t = -627 + 624. Let q(s) = 3*s**2 - 6*s + 4. Give q(t).
49
Suppose 526 = -6*o + 484. Let k(j) = 11*j + 9. What is k(o)?
-68
Let s(v) = 61*v + 48 - 109*v + 129*v + 15 - 100*v. Determine s(5).
-32
Let o(d) = -16*d**2 - 33*d + 33*d + d**2. Suppose -28*w + 16*w + 12 = 0. Calculate o(w).
-15
Let k(b) = -b - 14. Let y(z) = -16*z - 8. Let i be y(4). Let d be ((-1)/2)/(212/i - -3). Determine k(d).
-5
Let j(m) = -43*m + 3 - 4 - 2 + 42*m. Suppose 120 = 189*f - 169*f. Determine j(f).
-9
Let j(s) = -19 - 26*s**2 + 125*s**2 - 26*s**2 - 25*s**2 + 16*s - 49*s**2. Determine j(19).
-76
Let g(q) be the first derivative of -1/120*q**6 + 1/3*q**3 - 13/2*q**2 + 7/60*q**5 + 0*q - 5/24*q**4 - 21. Let n(d) be the second derivative of g(d). Give n(6).
8
Suppose -4*l + 5*u = 0, -5*l + u - 2*u = -29. Suppose 0 = 3*q + l*w + 31, -2*q + w + 21 = -4*w. Let k(n) = n + 1. Determine k(q).
-1
Suppose 19*y - 69 = -12. Let h(a) = -10 - a + 24 + a**y - 15 + a**2. Give h(-2).
-3
Let h(v) = -6*v + 16. Let x be 15*2/(5/((-25)/30)). Let w(i) = 7*i - 16. Let m(d) = x*h(d) - 4*w(d). Calculate m(9).
2
Let i(t) be the second derivative of -11*t**3/6 + 58*t**2 + 262*t. Let n be i(10). Let a(c) = 2*c**2 - 12*c + 3. What is a(n)?
3
Let m(s) = 45*s**2 + 10*s + 20. Let a(n) = -56*n**2 - 10*n - 19. Let v(d) = -4*a(d) - 5*m(d). Calculate v(-6).
0
Let x(d) = d + 4166 - 8316 + 4103 + 0*d. Determine x(31).
-16
Let q(d) = d**2 + 20*d - 22. Let v(h) = 127*h + 106. Let i be v(-1). What is q(i)?
-1
Suppose 4*o - 35 = -23. Let l(i) = 7 + o + 225*i**2 - 3 - 226*i**2. Calculate l(0).
7
Let x(a) = a**2 - 11*a. Let v(n) = 2*n + 141. Let i(t) = t + 47. Let l(m) = 17*i(m) - 6*v(m). Let g be l(10). Suppose 44 = -g*k + 7*k. What is x(k)?
0
Suppose r = -0 + 2. Let u(v) be the first derivative of 1/2*v**2 - 226 + 0*v. Determine u(r).
2
Suppose -h - 4 = 2*h - 4*f, -2*f = -5*h + 12. Let w be -3 - (((-1)/1 - 15) + h). Let l(v) = v**3 - 10*v**2 + 8*v - 9. Give l(w).
-18
Let z = 46 + -43. Suppose 15 = 6*r + z. Let y(j) = 8*j**r + 4*j**2 - 10*j**2. Give y(-1).
2
Let n(m) = m**2 + 13*m - 24. Suppose 4*g - 5*v = -17, g = -5*v - 191 + 218. What is n(g)?
6
Let s(m) = -m + 1. Let t(z) = -4*z. Let u = -163 - -166. Let k(j) = u*s(j) + t(j). What is k(6)?
-39
Let q(f) be the second derivative of 5*f**4/6 - 149*f**3/6 - 7*f**2 + 275*f + 3. What is q(15)?
1
Let l(k) = -4*k + 37. Let b be l(9). Let s(o) = 34*o + o**2 + b - 2 - 29*o + o**2. Calculate s(-4).
11
Let i(j) = -8*j - 22*j + 0*j**2 - j**2 + 6 + 10*j. Let h = -1037 + 1017. What is i(h)?
6
Suppose 304*p - 182 + 132 = -1874. Let i(w) = -w**3 - 5*w**2 + 7*w + 10. What is i(p)?
4
Let x(g) be the third derivative of -9*g + 1/60*g**5 - | {
"pile_set_name": "DM Mathematics"
} |
1161, 1525, 1877, 2217?
-6*h**2 + 406*h - 3
What is the x'th term of -182, -266, -334, -380, -398?
x**3 + 2*x**2 - 97*x - 88
What is the p'th term of -1015, -1179, -1343, -1507?
-164*p - 851
What is the m'th term of 50974, 101945, 152916, 203887, 254858?
50971*m + 3
What is the j'th term of -10962, -10999, -11026, -11037, -11026, -10987, -10914, -10801?
j**3 - j**2 - 41*j - 10921
What is the y'th term of 734, 1323, 1912?
589*y + 145
What is the c'th term of 5039052, 5039050, 5039048, 5039046?
-2*c + 5039054
What is the d'th term of 2183, 8741, 19669, 34967, 54635?
2185*d**2 + 3*d - 5
What is the d'th term of 167, 1148, 3741, 8750, 16979?
134*d**3 + 2*d**2 + 37*d - 6
What is the a'th term of -29466, -58930, -88394, -117858, -147322, -176786?
-29464*a - 2
What is the u'th term of -80338, -160675, -241014, -321355, -401698, -482043?
-u**2 - 80334*u - 3
What is the o'th term of -1038, -1033, -1026, -1017, -1006?
o**2 + 2*o - 1041
What is the z'th term of 134, 500, 1328, 2852, 5306, 8924, 13940, 20588?
39*z**3 - 3*z**2 + 102*z - 4
What is the p'th term of 9361, 18725, 28065, 37369, 46625, 55821, 64945?
-2*p**3 + 9378*p - 15
What is the f'th term of 3873, 31080, 104921, 248712, 485769, 839408, 1332945, 1989696?
3886*f**3 + f**2 + 2*f - 16
What is the u'th term of 3133, 12538, 28213, 50158?
3135*u**2 - 2
What is the h'th term of -57, -241, -683, -1491, -2773, -4637, -7191, -10543?
-18*h**3 - 21*h**2 + 5*h - 23
What is the w'th term of -2603, -20923, -70655, -167507, -327187, -565403?
-2618*w**3 + 2*w**2 + 13
What is the t'th term of -1209, -1247, -1345, -1527, -1817, -2239?
-4*t**3 - 6*t**2 + 8*t - 1207
What is the v'th term of -479, -617, -921, -1475, -2363, -3669?
-14*v**3 + v**2 - 43*v - 423
What is the r'th term of 51, 77, 121, 183?
9*r**2 - r + 43
What is the i'th term of -39951, -39949, -39947, -39945?
2*i - 39953
What is the h'th term of 325, 990, 1653, 2314?
-h**2 + 668*h - 342
What is the f'th term of -94, -94, -102, -124, -166?
-f**3 + 2*f**2 + f - 96
What is the g'th term of -15978, -15995, -16012, -16029, -16046, -16063?
-17*g - 15961
What is the v'th term of -602613, -602608, -602599, -602586, -602569, -602548, -602523?
2*v**2 - v - 602614
What is the l'th term of 8336, 8335, 8334?
-l + 8337
What is the w'th term of 955, 3828, 8619, 15328?
959*w**2 - 4*w
What is the h'th term of 3810, 7553, 11286, 15003, 18698, 22365?
-h**3 + h**2 + 3747*h + 63
What is the t'th term of -13480, -26958, -40436, -53914, -67392, -80870?
-13478*t - 2
What is the l'th term of -4451, -3982, -3207, -2132, -763, 894, 2833?
-l**3 + 159*l**2 - l - 4608
What is the g'th term of -122007, -122022, -122027, -122016, -121983, -121922, -121827, -121692?
g**3 - g**2 - 19*g - 121988
What is the b'th term of -709, -650, -609, -592, -605?
-b**3 - 3*b**2 + 75*b - 780
What is the o'th term of 4251, 4216, 4177, 4134, 4087, 4036?
-2*o**2 - 29*o + 4282
What is the x'th term of 45122, 45134, 45170, 45242, 45362, 45542, 45794?
2*x**3 - 2*x + 45122
What is the i'th term of 2866, 2628, 2232, 1678, 966?
-79*i**2 - i + 2946
What is the v'th term of -1239, -2215, -3191, -4167?
-976*v - 263
What is the f'th term of -34, -278, -970, -2344, -4634, -8074?
-39*f**3 + 10*f**2 - f - 4
What is the d'th term of 10873, 10874, 10875?
d + 10872
What is the l'th term of -101, -456, -1107, -2102, -3489?
-8*l**3 - 100*l**2 + l + 6
What is the x'th term of -1019, -1041, -1053, -1049, -1023, -969, -881?
x**3 - x**2 - 26*x - 993
What is the j'th term of 7364, 7359, 7366, 7391, 7440, 7519?
j**3 - 12*j + 7375
What is the a'th term of -4796, -4848, -4914, -5006, -5136, -5316, -5558, -5874?
-2*a**3 + 5*a**2 - 53*a - 4746
What is the n'th term of 375, 1195, 2015?
820*n - 445
What is the j'th term of -172, -574, -1202, -2026, -3016, -4142?
5*j**3 - 143*j**2 - 8*j - 26
What is the d'th term of 738, 758, 786, 822, 866, 918, 978?
4*d**2 + 8*d + 726
What is the v'th term of 442, 483, 524?
41*v + 401
What is the w'th term of 5063, 5131, 5197, 5261, 5323, 5383, 5441?
-w**2 + 71*w + 4993
What is the c'th term of -1050, -8375, -28254, -66963, -130778?
-1046*c**3 - c**2 - 3
What is the x'th term of -17236, -138614, -468070, -1109644, -2167376, -3745306, -5947474, -8877920?
-17340*x**3 + x**2 - x + 104
What is the s'th term of -56280, -112557, -168834, -225111?
-56277*s - 3
What is the a'th term of -126, -199, -280, -369, -466?
-4*a**2 - 61*a - 61
What is the g'th term of 792, 832, 872, 912, 952, 992?
40*g + 752
What is the k'th term of -22, 22, 84, 158, 238?
-k**3 + 15*k**2 + 6*k - 42
What is the j'th term of -5285, -5297, -5335, -5411, -5537, -5725, -5987?
-2*j**3 - j**2 + 5*j - 5287
What is the b'th term of 10222, 10315, 10408, 10501, 10594?
93*b + 10129
What is the f'th term of -411, -401, -387, -369?
2*f**2 + 4*f - 417
What is the v'th term of 46, 86, 106, 94, 38, -74, -254, -514?
-2*v**3 + 2*v**2 + 48*v - 2
What is the u'th term of 387, 788, 1177, 1548, 1895, 2212, 2493?
-u**3 + 408*u - 20
What is the s'th term of 20873, 41743, 62613, 83483, 104353?
20870*s + 3
What is the k'th term of -195, -233, -333, -525, -839, -1305?
-5*k**3 - k**2 - 189
What is the z'th term of 519, 1046, 1573?
527*z - 8
What is the v'th term of -651, -638, -627, -618, -611, -606?
-v**2 + 16*v - 666
What is the h'th term of 39, 130, 297, 552, 907, 1374, 1965, 2692?
2*h**3 + 26*h**2 - h + 12
What is the j'th term of 13199, 13187, 13175, 13163, 13151?
-12*j + 13211
What is the w'th term of -69069, -69073, -69077, -69081, -69085?
-4*w - 69065
What is the u'th term of -8707, -34821, -78345, -139279, -217623?
-8705*u**2 + u - 3
What is the r'th term of -19625, -39250, -58875, -78500, -98125?
-19625*r
What is the c'th term of 275, 1127, 2551, 4547, 7115, 10255, 13967?
286*c**2 - 6*c - 5
What is the d'th term of -1481, -1489, -1501, -1517, -1537, -1561, -1589?
-2*d**2 - 2*d - 1477
What is the r'th term of -2979, -2917, -2815, -2673, -2491, -2269, -2007?
20*r**2 + 2*r - 3001
What is the l'th term of -300, -747, -1472, -2475?
-139*l**2 - 30*l - 131
What is the i'th term of -215997, -431988, -647977, -863964, -1079949, -1295932, -1511913?
i**2 - 215994*i - 4
What is the a'th term of 1940, 3295, 4662, 6047, 7456, 8895, 10370?
a**3 + 1348*a + 591
What is the z'th term of -6859, -6867, -6875, -6883?
-8*z - 6851
What is the z'th term of 1412893, 2825786, 4238679, 5651572?
1412893*z
What is the x'th term of 439, 3299, 11057, 26161, 51059?
408*x**3 + x**2 + x + 29
What is the s'th term of 1796, 1801, 1806, 1811?
5*s + 1791
What is the x'th term of 9, -17, -53, -105, -179, -281, -417, -593?
-x**3 + x**2 - 22*x + 31
What is the n'th term of 8778, 17564, 26350, 35136?
8786*n - 8
What is the b'th term of 3327, 3333, 3343, 3357, 3375, 3397, 3423?
2*b**2 + 3325
What is the v'th term of 7002, 7009, 7020, 7035, 7054, 7077, 7104?
2*v**2 + v + 6999
What is the z'th term of -413, -1662, -3739, -6638, -10353, -14878, -20207?
z**3 - 420*z**2 + 4*z + 2
What is the u'th term of 99093, 99091, 99079, 99051, 99001?
-u**3 + u**2 + 2*u + 99091
What is the k'th term of 34555, 69103, 103651, 138199, 172747, 207295?
34548*k + 7
What is the a'th term of -132610, -265242, -397874, -530506, -663138?
-132632*a + 22
What is the o'th term of -347, -670, -975, -1262?
9*o**2 - 350*o - 6
What is the y'th term of 20, 41, 64, 89, 116, 145, 176?
y**2 + 18*y + 1
What is the j'th term of 144, 340, 614, 990, 1492, 2144, 2970?
4*j**3 + 15*j**2 + 123*j + 2
What is the q'th term of -326946, -326940, -326934, -326928?
6*q - 326952
What is the l'th term of 132, 147, 176, 219?
7*l**2 - 6*l + 131
What is the f'th term of -13010, -52034, -117074, -208130, -325202, -468290?
-13008*f**2 - 2
What is the b'th term of -18658544, -18658546, -18658550, -18658556, -18658564, -18658574, -18658586?
-b**2 + b - 18658544
What is the n'th term of -67566, -67547, -67526, -67503?
n**2 + 16*n - 67583
What is the u'th term of 191517, 191486, 191429, 191340, 191213, 191042, 190821, 190544?
-u**3 - 7*u**2 - 3*u + 191528
What is the i'th term of 47, -27, -145, -307?
-22*i**2 - 8*i + 77
What is the t'th term of -401, -543, -675, -791, -885, -951, -983, -975?
t**3 - t**2 - 146*t - 255
What is the f'th term of 210119, 420241, 630365, 840491, 1050619?
f**2 + 210119*f - 1
What is the h'th term of 2112, 3841, 5556, 7251, 8 | {
"pile_set_name": "DM Mathematics"
} |
e
Is 83813 composite?
False
Is 27865 a prime number?
False
Is 6047 a prime number?
True
Is 10265 a prime number?
False
Is 21863 a prime number?
True
Is 74234 a prime number?
False
Is 9353 a composite number?
True
Is 53299 prime?
True
Is 34249 a composite number?
True
Is 5447 prime?
False
Is 69973 prime?
False
Is 90787 prime?
True
Is 16961 composite?
True
Is 42469 a prime number?
False
Is 228349 a prime number?
False
Is 2729 prime?
True
Is 125699 a prime number?
False
Is 194371 composite?
False
Is 542651 prime?
False
Is 15629 a composite number?
False
Is 75473 composite?
True
Is 13669 composite?
False
Is 13679 prime?
True
Is 201007 prime?
True
Is 109169 prime?
True
Is 4201 a prime number?
True
Is 168617 prime?
True
Is 15689 a prime number?
False
Is 1693 composite?
False
Is 5623 a composite number?
False
Is 691109 a prime number?
True
Is 2269 prime?
True
Is 227329 a prime number?
False
Is 44027 prime?
True
Is 246049 prime?
True
Is 19529 prime?
False
Is 13253 a prime number?
False
Is 10427 composite?
False
Is 5401 a composite number?
True
Is 4987 prime?
True
Is 173077 prime?
False
Is 474461 prime?
False
Is 13963 a composite number?
False
Is 27043 a prime number?
True
Is 24601 prime?
False
Is 50671 a composite number?
False
Is 6599 a prime number?
True
Is 18251 a composite number?
False
Is 19523 a prime number?
False
Is 39971 a composite number?
False
Is 1748563 prime?
True
Is 36349 prime?
False
Is 27103 prime?
True
Is 373 a composite number?
False
Is 50207 a prime number?
True
Is 113003 prime?
False
Is 15419 prime?
False
Is 96661 prime?
True
Is 26305 composite?
True
Is 9337 a composite number?
False
Is 137461 a composite number?
True
Is 88463 a composite number?
False
Is 14029 a prime number?
True
Is 128713 a composite number?
True
Is 1287987 a composite number?
True
Is 899 composite?
True
Is 5179 a prime number?
True
Is 6373 composite?
False
Is 1099171 a composite number?
False
Is 307493 composite?
True
Is 67063 composite?
True
Is 396601 composite?
False
Is 94811 composite?
False
Is 22739 prime?
True
Is 5561 composite?
True
Is 135251 composite?
True
Is 240022 a prime number?
False
Is 42811 a prime number?
False
Is 11003 composite?
False
Is 37483 a prime number?
True
Is 171905 prime?
False
Is 13571 a prime number?
False
Is 301249 a composite number?
True
Is 1256887 a prime number?
True
Is 18113 a composite number?
True
Is 1511 prime?
True
Is 13157 a composite number?
True
Is 7393 prime?
True
Is 9242 composite?
True
Is 130363 prime?
True
Is 315481 prime?
True
Is 9491 prime?
True
Is 11299 a prime number?
True
Is 1399 composite?
False
Is 649177 prime?
False
Is 130805 a prime number?
False
Is 25733 composite?
False
Is 95651 a composite number?
False
Is 40049 prime?
False
Is 389053 a prime number?
False
Is 167509 prime?
False
Is 6389 a prime number?
True
Is 41929 a prime number?
False
Is 818887 composite?
False
Is 14051 a prime number?
True
Is 33679 a composite number?
False
Is 590491 composite?
True
Is 248743 prime?
False
Is 136943 a composite number?
False
Is 26333 composite?
True
Is 27877 a composite number?
True
Is 1087 a prime number?
True
Is 29383 prime?
True
Is 2995 a composite number?
True
Is 1027133 composite?
True
Is 831595 a prime number?
False
Is 133493 a composite number?
False
Is 2213563 a prime number?
False
Is 6317 a prime number?
True
Is 22853 composite?
False
Is 3203 a prime number?
True
Is 36523 a composite number?
False
Is 82109 a prime number?
False
Is 2633 composite?
False
Is 736607 a prime number?
True
Is 632134 a prime number?
False
Is 39499 a composite number?
False
Is 179161 prime?
True
Is 8263 composite?
False
Is 13424561 a prime number?
True
Is 52517 a composite number?
False
Is 104603 a composite number?
True
Is 3793 a composite number?
False
Is 112219 a prime number?
False
Is 1695941 composite?
True
Is 250927 composite?
True
Is 3587 prime?
False
Is 21269 a composite number?
False
Is 10847 a prime number?
True
Is 3673133 composite?
False
Is 308437 prime?
True
Is 1893 prime?
False
Is 5155 a composite number?
True
Is 869965 a prime number?
False
Is 26759 composite?
False
Is 17483 a prime number?
True
Is 602543 a composite number?
False
Is 10673 a composite number?
True
Is 2579 a prime number?
True
Is 32699 a prime number?
False
Is 110419 composite?
False
Is 6686 prime?
False
Is 3299 prime?
True
Is 1361 composite?
False
Is 32117 prime?
True
Is 257311 composite?
False
Is 800311 a prime number?
True
Is 215123 composite?
False
Is 333419 prime?
True
Is 4831 composite?
False
Is 877 a prime number?
True
Is 95651 composite?
False
Is 7769 a composite number?
True
Is 1371551 prime?
True
Is 25399 a prime number?
False
Is 270061 composite?
True
Is 49681 a prime number?
True
Is 12953 prime?
True
Is 48703 prime?
False
Is 619015 composite?
True
Is 27043 a composite number?
False
Is 595513 composite?
False
Is 163817 composite?
True
Is 177 composite?
True
Is 412729 a prime number?
False
Is 17719589 a prime number?
True
Is 823829 a prime number?
True
Is 20455 composite?
True
Is 57403 a composite number?
True
Is 481531 a composite number?
False
Is 9778 a composite number?
True
Is 42667 a prime number?
True
Is 3502541 prime?
False
Is 269683 composite?
False
Is 116743 prime?
False
Is 27473 prime?
False
Is 10661 a prime number?
False
Is 65227 prime?
False
Is 1148711 composite?
True
Is 58529 prime?
False
Is 2269 a prime number?
True
Is 45389 prime?
True
Is 3594733 a prime number?
True
Is 207559 a composite number?
True
Is 8923 prime?
True
Is 61003 composite?
True
Is 9722 prime?
False
Is 13637 a prime number?
False
Is 26615 a prime number?
False
Is 124813 a prime number?
False
Is 37319 a prime number?
False
Is 5089 a composite number?
True
Is 16411 composite?
False
Is 19919 prime?
True
Is 147977 composite?
False
Is 3247 a composite number?
True
Is 18947 a prime number?
True
Is 14621 a composite number?
False
Is 11857 composite?
True
Is 3833 composite?
False
Is 281107 a composite number?
True
Is 13049 prime?
True
Is 3101 a composite number?
True
Is 35969 composite?
False
Is 401105 a prime number?
False
Is 25559 prime?
False
Is 25778 a composite number?
True
Is 5666 composite?
True
Is 8513 a prime number?
True
Is 26066 a prime number?
False
Is 231409 composite?
False
Is 16601 a prime number?
False
Is 27929 a prime number?
False
Is 3814 a prime number?
False
Is 113 prime?
True
Is 2051 a composite number?
True
Is 12569 composite?
False
Is 29251 prime?
True
Is 1169947 composite?
True
Is 1223 prime?
True
Is 12955 composite?
True
Is 452671 prime?
True
Is 376331 prime?
False
Is 412457 composite?
False
Is 1224079 prime?
True
Is 4197 a prime number?
False
Is 54577 composite?
False
Is 80537 composite?
False
Is 471737 a composite number?
True
Is 1133 a prime number?
False
Is 6563 composite?
False
Is 1597 a composite number?
False
Is 11597 composite?
False
Is 64054 prime?
False
Is 518633 prime?
False
Is 41639 a prime number?
False
Is 194897 prime?
False
Is 304117 composite?
True
Is 28277 a prime number?
True
Is 26293 a prime number?
True
Is 7753 a prime number?
True
Is 446149 a prime number?
False
Is 201049 composite?
False
Is 44071 a prime number?
True
Is 12037 a prime number?
True
Is 835 a prime number?
False
Is 5444155 a composite number?
True
Is 168409 a prime number?
True
Is 7039 prime?
True
Is 457979 a prime number?
True
Is 160967 composite?
False
Is 240691 a prime number?
False
Is 13537 a prime number?
True
Is 10555 prime?
False
Is 36977 prime?
False
Is 687079 a prime number?
False
Is 16537 composite?
True
Is 4201 a prime number?
True
Is 8962 prime?
False
Is 99707 a composite number?
False
Is 46162 prime?
False
Is 499511 prime?
False
Is 53503 a composite number?
False
Is 6491 composite?
False
Is 21433 composite?
False
Is 21617 a composite number?
False
Is 63319 composite?
True
Is 34718 a prime number?
False
Is 16673 a prime number?
True
Is 20627 prime?
True
Is 28973 prime?
False
Is 5386 prime?
False
Is 6163 a prime number?
True
Is 4189 a composite number?
True
Is 2587 composite?
True
Is 21205 composite?
True
Is 3982481 a prime number?
True
Is 22013 a prime number?
True
Is 1637147 a prime number?
True
Is 617027 a prime number?
True
Is 25045 prime?
False
Is 2374127 prime?
False
Is 30757 a prime number?
True
Is 1326683 composite?
False
Is 19801 prime?
| {
"pile_set_name": "DM Mathematics"
} |
*n + 13 - 6 - 6. Let j = -2 + 2. Suppose 2*m - 8 = -2*q, j*q = -2*q + 10. Let w(o) = 7*o + 4. What is m*w(p) + 6*s(p)?
-p + 2
Let x(o) = -o + 1. Let s(w) = -w**3 + 2*w**2 - w - 2. Let u(d) = -4*d**2 - 79*d - 56. Let v be u(-19). Calculate v*s(m) - x(m).
-m**3 + 2*m**2 - 3
Let u(l) = -l**2 - 3*l - 5. Let z(b) = -6 - 57*b**2 - 4*b + 28*b**2 + 28*b**2. Suppose -4*i = 13 - 25. Calculate i*u(c) - 2*z(c).
-c**2 - c - 3
Let p(b) = b**2 - 12*b + 31. Let c be p(9). Let u(m) = -6*m**2 - 2*m - 3. Let n = -5 - 0. Let q(w) = -7*w**2 - 3*w - 4. Determine c*q(y) + n*u(y).
2*y**2 - 2*y - 1
Let i(r) = r**2 - r + 1. Let g be ((-18)/(-27) - -6)*6/8. Let z(o) = -o**3 + 6*o**2 - 5*o + 5. Determine g*i(b) - z(b).
b**3 - b**2
Let l(g) = g**3 + 2*g**2 - 2*g - 12. Let z(u) = u**3 + 2*u**2 - 2*u - 14. What is 5*l(y) - 4*z(y)?
y**3 + 2*y**2 - 2*y - 4
Let p(u) = 30*u - 61. Let f(g) = -7*g + 15. Calculate 9*f(m) + 2*p(m).
-3*m + 13
Let o(x) = 6*x**2 - 8*x - 8. Suppose 13 = 4*y + 1. Let t(c) = 11*c. Let l be t(y). Suppose -9 + l = -4*j. Let z(d) = 5*d**2 - 7*d - 7. Give j*o(f) + 7*z(f).
-f**2 - f - 1
Let r(l) = l - 1. Let g(u) = -5*u + 6 + 6 - 4. Let q(h) = 2*h - 4. Let y(m) = 3*g(m) + 5*q(m). What is 11*r(p) + 2*y(p)?
p - 3
Let x(w) = w + 1. Let q(a) = 2*a**2 + 2. Let k = 676 - 677. Determine k*x(u) + q(u).
2*u**2 - u + 1
Let o(h) = h. Let d(m) be the third derivative of -5*m**4/24 - m**3/6 + 178*m**2. What is -d(x) + o(x)?
6*x + 1
Let b(y) = -y**2 + 2*y - 1. Let c(n) = -n**2 - 14*n + 8. Let u(r) = 6*b(r) + c(r). Let p(o) = 7*o**2 + 3*o - 3. Determine 2*p(j) + 3*u(j).
-7*j**2
Let m(d) be the third derivative of d**5/30 - 5*d**4/24 - d**3/6 + 35*d**2. Let i(n) = 3*n**2 - 6*n - 2. Calculate 3*i(z) - 4*m(z).
z**2 + 2*z - 2
Suppose 3*a - 3*g + 3 = 0, -6 - 17 = -2*a - 3*g. Let s(n) = 9*n**2 + 6. Let r(m) = m**2 + 1. Calculate a*r(o) - s(o).
-5*o**2 - 2
Let i(t) = t**2 - t + 1. Let y(d) = 2*d + 56. Give 2*i(o) + y(o).
2*o**2 + 58
Let a(u) = 26*u - 521. Let b be a(20). Let y(q) = 5*q - 4. Let n(z) = -11*z + 9. Let j(t) = 4*n(t) + 9*y(t). Let f(w) = -4*w - 2. What is b*j(x) - f(x)?
3*x + 2
Let w = 948 - 949. Let d(q) = 16*q**2 + 6*q. Let b(a) = -a. Calculate w*d(g) - 5*b(g).
-16*g**2 - g
Let d(x) be the first derivative of 1/4*x**4 - x + 0*x**2 + 1/3*x**3 - 4. Let j(v) = 5 + 3*v**2 - 5 - 2 + 2*v**3 - 1. What is -3*d(t) + j(t)?
-t**3
Let a be 4/3 + (-6)/(-9). Let q(j) = -4 + 5 + a - 2. Let i(h) = -h + 2. What is -i(b) + 5*q(b)?
b + 3
Let u(j) = 5*j**3 + 3*j**2 - 6*j + 6. Let y(s) = 6*s**3 + 4*s**2 - 7*s + 7. Suppose n + 4*o = 9*o - 22, 0 = -n - o - 4. Determine n*u(i) + 6*y(i).
i**3 + 3*i**2
Let z(c) = -3*c**2 - 49*c + 1. Let v(x) = 4*x**2 + 50*x - 2. Calculate 5*v(o) + 6*z(o).
2*o**2 - 44*o - 4
Let k(b) = b**2 + 2*b + 1. Let l(w) = -6*w**2 - 35*w + 1. Give 4*k(g) + l(g).
-2*g**2 - 27*g + 5
Let j(g) = 6*g + 92. Let u(q) = 3*q + 47. Determine -3*j(v) + 5*u(v).
-3*v - 41
Let c(z) = -44*z + 64. Let p(n) = 16*n - 21. What is -3*c(o) - 8*p(o)?
4*o - 24
Let q(z) = 9*z**3 - z**2 + z - 1. Let k be q(1). Let h(s) = 22 - s - k + 2*s + 3*s. Let y(i) = i + 3. What is 3*h(v) - 14*y(v)?
-2*v
Let l(f) = 12*f + 9. Let s(w) = -12*w - 7. What is -4*l(h) - 5*s(h)?
12*h - 1
Let o(g) = -g**3 - 35*g**2 + 28. Let v be o(-35). Let k(u) = 4*u**2 + 14. Let x(j) = j**2 + 3. Give v*x(r) - 6*k(r).
4*r**2
Let v(a) = 2*a**3 - 2*a**2 - 4*a + 3. Let k(o) = 7*o**2 - 256*o**3 + 11*o + 110 + 250*o**3 - 119. Give -4*k(s) - 11*v(s).
2*s**3 - 6*s**2 + 3
Let p(v) = 326*v + 11. Let h(k) = -217*k - 7. Determine 8*h(y) + 5*p(y).
-106*y - 1
Let k(p) = 14*p**3 + 2*p + 3. Let d = 44 - 39. Suppose 9 = -d*n - 4*s, -n + 5 = -6*n - 5*s. Let u(r) = -9*r**3 - r - 2. Calculate n*k(x) - 8*u(x).
2*x**3 - 2*x + 1
Let n(u) = 2*u**3 + 0*u + 3*u - 5 + u**3 - 3*u**2 + 2*u**3 + 0. Let k(r) = 0*r**2 - 2*r + 4 + 3*r**3 + 2*r**2 - 7*r**3. Calculate 3*k(x) + 2*n(x).
-2*x**3 + 2
Let n(o) = 151*o + 2. Let g(k) = -k. Give 2*g(z) + n(z).
149*z + 2
Let b(u) = -29*u**3 + 3*u**2 - 2*u + 5. Let h(i) = 28*i**3 - 4*i**2 + 2*i - 6. Calculate 6*b(j) + 5*h(j).
-34*j**3 - 2*j**2 - 2*j
Let i(s) = -9*s - 19. Let c(m) = -17*m - 44. What is 4*c(r) - 9*i(r)?
13*r - 5
Suppose 23 = 5*o - x, 20 = 2*o - 0*o - 4*x. Let h(d) = d - 3. Let k(w) = w - 2. Suppose 0*j + j + 26 = -5*m, -3*j - 5*m = 38. Determine j*k(b) + o*h(b).
-2*b
Suppose k = -2*w + 1, -3*k + 8*k - 16 = w. Let x(m) be the first derivative of 4*m**3/3 - 3*m**2/2 - 6*m + 1193. Let q(g) = g**2 - g - 1. Give w*x(s) + 5*q(s).
s**2 - 2*s + 1
Let u(s) = -9*s**3 + 4. Let j be (1/(-1))/(1/(-11)). Let d(o) = 5*o**3 - 2. Suppose -56*b + 139 = -197. Calculate b*u(l) + j*d(l).
l**3 + 2
Let u(y) = -6*y - 1. Let t(s) = -697*s + 3. What is -t(l) - 2*u(l)?
709*l - 1
Let s(v) = -16*v**3. Let p = -113 + 116. Let g(a) = 15*a**3. What is p*g(d) + 2*s(d)?
13*d**3
Let m(l) = 2 - 3 + 4. Let i be 30/(-12)*(-8)/(-5). Let z(h) = -h**2 + 1. Let b(o) = 3*o**2 - 8. Let q(r) = i*z(r) - b(r). What is -4*m(t) + 3*q(t)?
3*t**2
Let y(z) = z**2 - 261*z + 5. Let a(d) = d + 1. What is -5*a(x) + y(x)?
x**2 - 266*x
Let r(c) = c**3 - 2*c**2 + 132*c + 2. Let q(y) = -4*y**3 + 9*y**2 - 532*y - 9. What is 4*q(j) + 18*r(j)?
2*j**3 + 248*j
Let h(d) = 5*d**3 + 6*d**2 - 4*d - 15. Let l(b) = 15*b**3 + 17*b**2 - 11*b - 48. Calculate 17*h(j) - 6*l(j).
-5*j**3 - 2*j + 33
Let n(h) = 3*h**2 - h - 3. Let r be 16/(-6)*(7 + -4). Let v = 14 + r. Let l(z) = -6 - v + 1 + 10 + z**2. What is -4*l(w) + n(w)?
-w**2 - w + 1
Let d(b) = -b**3 + 6*b**2 + 4*b + 6. Suppose -261*w = -257*w + 24. Let x(g) = 2*g**3 - 13*g**2 - 8*g - 13. Determine w*x(a) - 13*d(a).
a**3 - 4*a
Let a(h) = -2*h**2 + 3*h + 1. Let d(x) = -3*x + 135. What is a(c) + d(c)?
-2*c**2 + 136
Let n(v) = v - 1. Let i = -9 - -17. Let l = -6 + i. Let k(b) = -5*b - 4 - l*b + b**2 + 5 + 5*b. Determine -k(o) - 2*n(o).
-o**2 + 1
Let s(m) = -6*m**3 - 2*m**2 + 4*m + 58. Let h(p) = -2*p**3 - p**2 + 2*p + 1. What is -2*h(r) + s(r)?
-2*r**3 + 56
Let d(v) = -18*v**3 + 5*v**2 - 9. Let r(w) = 18*w**3 - 6*w**2 + 8. Calculate 4*d(o) + 3*r(o).
-18*o**3 + 2*o**2 - 12
Let f(o) = 5*o**3 - 2*o**2 - 6*o + 2. Let m(r) = -11*r**3 + 4*r**2 + 12*r - 5. Give 5*f(p) + 2*m(p).
3*p**3 - 2*p**2 - 6*p
Let n(u) = -48*u**3 + 10*u. Let v(q) = -16*q**3 + 3*q. Let p be (1 - 1 - 3)/((-5)/5). What is p*n(i) - 10*v(i)?
16*i**3
Let w(j) = 28*j**2 + 6*j + 10. Let g(r) = 83*r**2 + 17*r + 28. Determine 6*g(o) - 17*w(o).
22*o**2 - 2
Let h(n) be the third derivative of -n**5/60 + n**4/24 - 5*n**3/6 + 591*n**2. Let t(u) = 5*u**2 - 5*u + 25. Determine 11*h(p) + 2*t(p).
-p**2 + p - 5
Let x(n) = 5*n**2 + n + 4. Let j = 7 + -11. Let i(l) = -3*l**2 + 2 - 5 - l**2. Calculate j*i(v) - 3*x(v).
v**2 - 3*v
Let d(h) = 3*h**3 - 5*h - 5. Let v(q) = 3*q**3 - 5*q - 5. Let z(b) = 5*d(b) - 4*v(b). Let c(o) = -8*o**3 + 14*o + 14. Calculate 5*c(t) + 14*z(t).
2*t**3
Let o(y) = 2*y**3 - 4*y. Let i(v) = v**2 - v + 2. Let f be 1 + -3 - (-12)/3. Let p be i(f). Let x(b) = p + 0 - b - 4. What is -o(h) + 4*x(h)?
-2*h**3
Let p(q) be the third derivative of -q**5/15 + q**3/2 - 4*q**2 + 12*q. Let w(h) = -11*h**2 + 8. Calculate 17*p(z) - 6*w(z).
-2*z**2 + 3
Let a(v) = 9*v**3 + 7*v**2 + 6*v - 8. Let c(t) = -t**3 - t**2 - t + 1. Calculate -a(k) - 6*c(k).
-3*k**3 - k**2 + 2
Let a(r) = 11*r - 4. Let h(z) = 21*z - 9. Let v be ((-18)/153)/(-1) - 155/17. What is v*a(m) + 4*h(m)?
-15*m
Let o(x) = -4*x - 15. Let q(d) = 4*d + 14. What is -7*o(h) - 6*q(h)?
4*h + 21
Let u(m) = 11*m - 18*m + 8*m - 4 - 2*m. Let o(h) = 3*h + 9. Let y = -14 - -6. Let v be 8/6 - y/12. Calculate v*o(a) + 5*u(a).
a - 2
Let p(n) = n**2 + 1. Let w(z) = -4*z**2 - 5*z - 8. Give -6*p(r) - w(r).
-2*r**2 + 5*r + 2
Suppose -21 - 24 = 9*s. Let i(a) = 2*a - 8. Let b(y) = -y + 5. Determine s*i(z) - 8*b(z).
-2*z
Let n(x) = -x**3 + 2*x**2 + 6*x + 5. Let h be n(-1). Let d(q) = q**3 - q**2 - 1. Let f(s) = 3*s**3 + 8*s**2 - 1. Give h*d(i) - f(i).
-i**3 - 10*i**2 - 1
Let v(f) = 11*f**2 + 34*f + 7. Let q(p) = 5*p**2 + 15*p + 3. Let t(y) = 9*q(y) - 4*v(y). Let a(o) = -6*o**2 + 12*o + 12. What is a(s) + 12*t(s)?
6*s**2
Let s(i) = -2*i**2 - 3*i - 1. Let w(h) = -h**2 - 2*h. Suppose 0 = -3*j + 17 + 28. Let u = 18 - j. Calculate u*s(z) - 5*w(z).
-z**2 + z - 3
Let z(t) = -t**3 + t**2 + t. Let i(j) = -5*j**2 - 5*j**3 + j**2 + 2*j**3 + 14*j**3 | {
"pile_set_name": "DM Mathematics"
} |
-0.0000011619 rounded to seven dps?
-0.0000012
Round -0.004162 to three dps.
-0.004
What is 0.6 rounded to the nearest ten?
0
Round 0.0408 to three dps.
0.041
What is 693 rounded to the nearest 10?
690
Round -67800 to the nearest 1000.
-68000
Round -0.006313 to four dps.
-0.0063
What is 14906800 rounded to the nearest one million?
15000000
What is 0.066731 rounded to two decimal places?
0.07
Round -0.00003675 to six dps.
-0.000037
What is 100320000 rounded to the nearest 1000000?
100000000
Round 0.00025334 to five decimal places.
0.00025
Round -0.000029912 to seven dps.
-0.0000299
Round 1820 to the nearest 100.
1800
What is 7271000 rounded to the nearest 100000?
7300000
What is -4811.3 rounded to the nearest 10?
-4810
What is 0.000016094 rounded to 7 dps?
0.0000161
Round 5505000 to the nearest one million.
6000000
Round 0.00057458 to five decimal places.
0.00057
What is -0.00053 rounded to four dps?
-0.0005
What is -8616.1 rounded to the nearest one thousand?
-9000
What is -0.19818 rounded to three dps?
-0.198
What is 0.0000057492 rounded to six dps?
0.000006
Round 0.000003872 to 7 dps.
0.0000039
What is -0.0097413 rounded to 4 decimal places?
-0.0097
What is 0.0536 rounded to 3 dps?
0.054
Round -43.63 to the nearest integer.
-44
What is 5.4 rounded to the nearest integer?
5
Round 575860 to the nearest one hundred thousand.
600000
What is 0.00012 rounded to three dps?
0
What is 1466000 rounded to the nearest 100000?
1500000
Round 0.016391 to 4 decimal places.
0.0164
What is 0.04795 rounded to three decimal places?
0.048
What is 153200 rounded to the nearest one thousand?
153000
What is 1.44205 rounded to 3 decimal places?
1.442
Round 9.19 to zero dps.
9
What is 0.39241 rounded to three decimal places?
0.392
Round 26.5585 to 0 decimal places.
27
Round -0.00002469 to 6 dps.
-0.000025
What is 1320000 rounded to the nearest 1000000?
1000000
Round 1593.66 to the nearest one hundred.
1600
Round -28.7 to the nearest integer.
-29
What is 41641 rounded to the nearest 100?
41600
Round -5474200 to the nearest one hundred thousand.
-5500000
Round -0.07794 to 2 decimal places.
-0.08
Round 0.00006191 to six dps.
0.000062
Round 51489000 to the nearest 1000000.
51000000
What is -0.0046491 rounded to four decimal places?
-0.0046
What is 0.0139 rounded to 3 decimal places?
0.014
What is 0.0004053 rounded to 5 dps?
0.00041
What is -3106 rounded to the nearest 1000?
-3000
What is -0.0013841 rounded to four dps?
-0.0014
Round -19.06 to the nearest ten.
-20
Round -0.0709 to 3 dps.
-0.071
What is 0.001288 rounded to 5 decimal places?
0.00129
Round -0.0059703 to 4 decimal places.
-0.006
Round -3.4 to the nearest 10.
0
What is -0.000032871 rounded to seven decimal places?
-0.0000329
What is -156730 rounded to the nearest one thousand?
-157000
Round -0.0046068 to 4 dps.
-0.0046
Round 275.8 to the nearest one hundred.
300
What is -0.67859 rounded to two decimal places?
-0.68
What is 0.000261641 rounded to six decimal places?
0.000262
What is -32930 rounded to the nearest one thousand?
-33000
What is -1.06452 rounded to 2 decimal places?
-1.06
Round -103.95 to zero decimal places.
-104
What is 5850 rounded to the nearest 1000?
6000
Round -2.74 to the nearest integer.
-3
What is -6304400 rounded to the nearest one million?
-6000000
What is 0.009423 rounded to three decimal places?
0.009
Round -0.0002208 to 5 decimal places.
-0.00022
Round 0.017802 to 3 dps.
0.018
Round 9660 to the nearest 1000.
10000
What is -16580 rounded to the nearest 1000?
-17000
Round 0.05312 to 2 dps.
0.05
Round -0.06231 to 2 dps.
-0.06
What is 7240100 rounded to the nearest one hundred thousand?
7200000
What is 2894 rounded to the nearest 1000?
3000
Round 0.0001529 to 4 decimal places.
0.0002
Round 0.406 to the nearest integer.
0
What is -0.0032682 rounded to 4 dps?
-0.0033
Round -187369 to the nearest 1000.
-187000
Round 0.0070377 to 5 decimal places.
0.00704
What is -9674000 rounded to the nearest one million?
-10000000
What is -15111 rounded to the nearest 100?
-15100
Round -2297 to the nearest 100.
-2300
Round -0.001268 to three dps.
-0.001
Round -5426000 to the nearest one hundred thousand.
-5400000
What is -0.96 rounded to 1 dp?
-1
Round 7.842 to the nearest integer.
8
Round 16.63 to one dp.
16.6
What is 196000 rounded to the nearest 10000?
200000
Round -460.2 to the nearest one hundred.
-500
What is -1202 rounded to the nearest 100?
-1200
What is 3918.2 rounded to the nearest 10?
3920
Round -0.001208 to five decimal places.
-0.00121
Round -127.9 to the nearest ten.
-130
What is 0.00008303 rounded to 6 dps?
0.000083
What is -0.0015056 rounded to 4 dps?
-0.0015
Round 88800 to the nearest 1000.
89000
What is -0.0016981 rounded to 4 decimal places?
-0.0017
Round 134000 to the nearest 100000.
100000
What is 189150 rounded to the nearest one thousand?
189000
Round -74050000 to the nearest 1000000.
-74000000
Round -294900 to the nearest one hundred thousand.
-300000
Round -93.18 to the nearest 10.
-90
Round -0.000005024 to 7 dps.
-0.000005
What is -116.5 rounded to the nearest ten?
-120
Round -554180 to the nearest 10000.
-550000
Round -4006 to the nearest one hundred.
-4000
What is 0.000926 rounded to three dps?
0.001
Round 0.07482 to 3 dps.
0.075
Round 0.2052 to 2 decimal places.
0.21
Round -0.003725 to three decimal places.
-0.004
What is -912000 rounded to the nearest 100000?
-900000
What is -4099 rounded to the nearest 1000?
-4000
What is -74.58 rounded to the nearest 10?
-70
Round 0.000442 to four dps.
0.0004
Round 0.06328 to 3 decimal places.
0.063
Round -11.96 to the nearest 10.
-10
Round 3193 to the nearest one hundred.
3200
Round 0.05343 to three dps.
0.053
What is -0.000059131 rounded to 5 decimal places?
-0.00006
What is -4090 rounded to the nearest ten thousand?
0
What is -81000 rounded to the nearest 10000?
-80000
What is 0.0008846 rounded to three dps?
0.001
Round 0.000143 to five decimal places.
0.00014
Round -0.049759 to 2 dps.
-0.05
Round -515100 to the nearest one hundred thousand.
-500000
What is 584780 rounded to the nearest ten thousand?
580000
What is -89.08 rounded to the nearest ten?
-90
What is -197.2 rounded to the nearest ten?
-200
What is -0.2314 rounded to one decimal place?
-0.2
What is 2560 rounded to the nearest one hundred?
2600
What is -30500 rounded to the nearest 100000?
0
Round 31.5 to the nearest 10.
30
Round -2.268 to 1 decimal place.
-2.3
Round -0.00091217 to 6 decimal places.
-0.000912
Round 0.00830576 to four dps.
0.0083
Round 205.357 to the nearest integer.
205
Round -0.00000031071 to 7 dps.
-0.0000003
What is -0.0000002575 rounded to 7 decimal places?
-0.0000003
What is -0.0006 rounded to 5 dps?
-0.0006
What is 13390 rounded to the nearest 100?
13400
Round 0.000004746 to seven decimal places.
0.0000047
Round 0.000007937 to six decimal places.
0.000008
What is -0.0049026 rounded to three dps?
-0.005
What is 43.506 rounded to the nearest integer?
44
Round -0.00038891 to six dps.
-0.000389
Round -72000 to the nearest 10000.
-70000
What is 816.1 rounded to the nearest ten?
820
What is -0.528091 rounded to two decimal places?
-0.53
Round 386050 to the nearest 10000.
390000
What is 0.596015 rounded to 1 dp?
0.6
What is 5.5477 rounded to one decimal place?
5.5
What is 84.781 rounded to zero decimal places?
85
What is -584610 rounded to the nearest one thousand?
-585000
Round 667.1 to the nearest 100.
700
Round -55700 to the nearest ten thousand.
-60000
What is -5759.7 rounded to the nearest one thousand?
-6000
Round -11.9 to the nearest integer.
-12
What is 0.06696 rounded to 3 decimal places?
0.067
Round -14577.1 to the nearest one hundred.
-14600
What is 0.51197 rounded to three dps?
0.512
Round -0.00000138143 to seven decimal places.
-0.0000014
What is -0.00071 rounded to four decimal places?
-0.0007
Round 23462500 to the nearest one hundred thousand.
23500000
Round 0.0004062 to four decimal places.
0.0004
Round -592760 to the nearest 10000.
-590000
Round 0.0000651 to 5 decimal places.
0.00007
Round 431.9 to the nearest ten.
430
What is 12.05 rounded to the nearest integer?
12
What is -169200 rounded to the nearest 1000?
-169000
What is 3.6424 rounded to 0 decimal places?
4
Round -8003000 to the nearest 1000000.
-8000000
What is 0.000262 rounded to four | {
"pile_set_name": "DM Mathematics"
} |
4:09 PM and 1:52 AM?
583
How many minutes are there between 12:25 AM and 12:14 PM?
709
What is 419 minutes after 11:37 PM?
6:36 AM
How many minutes are there between 4:22 PM and 2:47 AM?
625
What is 156 minutes after 5:44 AM?
8:20 AM
How many minutes are there between 9:27 AM and 10:15 AM?
48
How many minutes are there between 5:32 AM and 8:08 AM?
156
What is 715 minutes after 1:33 PM?
1:28 AM
What is 302 minutes before 4:04 PM?
11:02 AM
How many minutes are there between 6:43 AM and 3:31 PM?
528
What is 231 minutes before 2:06 PM?
10:15 AM
How many minutes are there between 3:52 PM and 4:04 PM?
12
How many minutes are there between 10:27 PM and 3:37 AM?
310
What is 270 minutes before 6:53 PM?
2:23 PM
How many minutes are there between 12:38 PM and 12:27 AM?
709
What is 243 minutes before 2:02 PM?
9:59 AM
What is 331 minutes before 3:27 AM?
9:56 PM
How many minutes are there between 11:27 AM and 6:36 PM?
429
What is 710 minutes before 10:55 AM?
11:05 PM
How many minutes are there between 2:33 PM and 6:04 PM?
211
How many minutes are there between 10:54 PM and 3:00 AM?
246
What is 166 minutes before 6:12 PM?
3:26 PM
How many minutes are there between 7:43 AM and 1:50 PM?
367
How many minutes are there between 12:14 AM and 2:14 AM?
120
How many minutes are there between 1:22 AM and 8:10 AM?
408
How many minutes are there between 7:44 PM and 8:51 PM?
67
How many minutes are there between 3:27 AM and 1:55 PM?
628
What is 398 minutes before 5:41 AM?
11:03 PM
What is 277 minutes after 5:06 AM?
9:43 AM
How many minutes are there between 2:29 AM and 3:02 AM?
33
What is 702 minutes before 12:39 AM?
12:57 PM
What is 474 minutes after 6:18 AM?
2:12 PM
What is 302 minutes after 5:18 PM?
10:20 PM
How many minutes are there between 5:49 PM and 12:39 AM?
410
How many minutes are there between 4:11 AM and 10:25 AM?
374
What is 185 minutes after 4:36 AM?
7:41 AM
How many minutes are there between 7:33 PM and 9:03 PM?
90
How many minutes are there between 5:42 PM and 7:57 PM?
135
What is 680 minutes before 6:14 AM?
6:54 PM
How many minutes are there between 5:04 PM and 11:20 PM?
376
How many minutes are there between 4:53 AM and 1:59 PM?
546
How many minutes are there between 3:11 AM and 2:39 PM?
688
How many minutes are there between 1:56 AM and 4:08 AM?
132
What is 283 minutes after 11:28 AM?
4:11 PM
How many minutes are there between 4:58 PM and 1:00 AM?
482
What is 473 minutes before 1:54 AM?
6:01 PM
What is 292 minutes before 4:00 PM?
11:08 AM
How many minutes are there between 10:07 AM and 4:13 PM?
366
What is 250 minutes before 4:08 PM?
11:58 AM
How many minutes are there between 3:57 AM and 10:03 AM?
366
How many minutes are there between 1:23 AM and 6:02 AM?
279
What is 576 minutes before 9:45 AM?
12:09 AM
What is 623 minutes after 5:34 AM?
3:57 PM
What is 514 minutes after 7:14 AM?
3:48 PM
How many minutes are there between 8:02 AM and 8:56 AM?
54
How many minutes are there between 8:39 PM and 9:27 PM?
48
How many minutes are there between 8:56 PM and 8:43 AM?
707
What is 27 minutes after 7:27 PM?
7:54 PM
How many minutes are there between 1:53 PM and 6:48 PM?
295
How many minutes are there between 11:34 PM and 9:31 AM?
597
How many minutes are there between 7:39 PM and 10:54 PM?
195
How many minutes are there between 2:45 AM and 11:40 AM?
535
What is 532 minutes before 5:50 PM?
8:58 AM
How many minutes are there between 3:39 PM and 11:44 PM?
485
How many minutes are there between 8:33 PM and 7:20 AM?
647
What is 367 minutes before 1:10 AM?
7:03 PM
How many minutes are there between 3:48 PM and 7:10 PM?
202
What is 710 minutes before 1:52 PM?
2:02 AM
How many minutes are there between 9:25 PM and 12:21 AM?
176
How many minutes are there between 4:41 PM and 11:06 PM?
385
What is 181 minutes after 10:45 PM?
1:46 AM
What is 165 minutes before 5:47 AM?
3:02 AM
How many minutes are there between 11:49 AM and 9:44 PM?
595
How many minutes are there between 1:20 PM and 9:45 PM?
505
What is 693 minutes after 4:30 PM?
4:03 AM
How many minutes are there between 3:22 AM and 2:23 PM?
661
How many minutes are there between 6:50 PM and 8:51 PM?
121
How many minutes are there between 7:13 AM and 12:18 PM?
305
What is 71 minutes before 8:40 AM?
7:29 AM
What is 463 minutes before 11:05 AM?
3:22 AM
How many minutes are there between 8:18 AM and 10:56 AM?
158
How many minutes are there between 10:53 PM and 6:55 AM?
482
How many minutes are there between 7:42 AM and 2:43 PM?
421
How many minutes are there between 12:44 AM and 2:59 AM?
135
How many minutes are there between 2:29 PM and 3:25 PM?
56
What is 154 minutes after 7:17 AM?
9:51 AM
How many minutes are there between 2:31 PM and 4:31 PM?
120
How many minutes are there between 5:53 AM and 4:50 PM?
657
How many minutes are there between 5:03 AM and 12:39 PM?
456
What is 237 minutes before 3:12 AM?
11:15 PM
What is 402 minutes after 3:18 PM?
10:00 PM
How many minutes are there between 7:23 PM and 9:20 PM?
117
How many minutes are there between 10:11 AM and 12:18 PM?
127
What is 298 minutes before 8:44 AM?
3:46 AM
How many minutes are there between 3:15 PM and 5:48 PM?
153
What is 597 minutes after 9:06 AM?
7:03 PM
What is 252 minutes after 6:26 AM?
10:38 AM
What is 202 minutes before 3:29 AM?
12:07 AM
How many minutes are there between 2:52 AM and 3:55 AM?
63
How many minutes are there between 7:12 PM and 4:24 AM?
552
How many minutes are there between 1:59 PM and 8:15 PM?
376
How many minutes are there between 5:26 PM and 8:13 PM?
167
What is 459 minutes before 2:34 AM?
6:55 PM
What is 660 minutes after 5:45 AM?
4:45 PM
How many minutes are there between 8:26 PM and 6:56 AM?
630
How many minutes are there between 9:43 PM and 9:33 AM?
710
What is 237 minutes before 1:02 AM?
9:05 PM
How many minutes are there between 11:22 PM and 10:19 AM?
657
What is 203 minutes before 10:56 PM?
7:33 PM
How many minutes are there between 3:00 AM and 4:50 AM?
110
What is 289 minutes after 7:37 AM?
12:26 PM
What is 376 minutes after 1:31 PM?
7:47 PM
What is 572 minutes after 1:49 AM?
11:21 AM
What is 331 minutes before 9:25 PM?
3:54 PM
What is 176 minutes after 7:57 AM?
10:53 AM
What is 715 minutes before 6:51 PM?
6:56 AM
How many minutes are there between 3:53 AM and 2:00 PM?
607
How many minutes are there between 10:19 PM and 12:52 AM?
153
What is 410 minutes after 7:48 PM?
2:38 AM
How many minutes are there between 6:08 AM and 6:35 AM?
27
What is 77 minutes before 2:07 PM?
12:50 PM
What is 155 minutes before 4:43 PM?
2:08 PM
What is 627 minutes after 9:50 AM?
8:17 PM
How many minutes are there between 5:46 PM and 11:41 PM?
355
How many minutes are there between 10:20 AM and 11:10 AM?
50
What is 689 minutes before 10:12 AM?
10:43 PM
What is 266 minutes after 5:07 PM?
9:33 PM
How many minutes are there between 4:45 PM and 8:58 PM?
253
How many minutes are there between 9:16 AM and 12:20 PM?
184
What is 623 minutes before 6:07 AM?
7:44 PM
How many minutes are there between 8:22 PM and 5:58 AM?
576
How many minutes are there between 7:54 AM and 10:00 AM?
126
What is 706 minutes before 1:17 AM?
1:31 PM
How many minutes are there between 11:52 AM and 11:01 PM?
669
How many minutes are there between 9:19 AM and 6:39 PM?
560
How many minutes are there between 12:18 PM and 9:16 PM?
538
What is 530 minutes after 9:06 PM?
5:56 AM
How many minutes are there between 6:40 PM and 9:57 PM?
197
How many minutes are there between 8:23 AM and 10:20 AM?
117
What is 439 minutes after 6:28 PM?
1:47 AM
How many minutes are there between 9:24 AM and 7:13 PM?
589
How many minutes are there between 9:22 AM and 6:52 PM?
570
What is 14 minutes before 5:22 PM?
5:08 PM
How many minutes are there between 11:43 AM and 5:37 PM?
354
What is 612 minutes before 4:22 PM?
6:10 AM
What is 517 minutes before 9:10 PM?
12:33 PM
What is 410 minutes before 4:49 PM?
9:59 AM
What is 677 minutes before 11:14 PM?
11:57 AM
How many minutes are there between 11:33 AM and 1:03 PM?
90
What is 4 minutes before 10:04 PM?
10:00 PM
What is 186 minutes after 8:10 PM?
11:16 PM
What is 92 minutes before 5:53 PM?
4:21 PM
What is 665 minutes after 3:23 AM?
2:28 PM
How many minutes are there between 10:32 PM and 3:02 AM?
270
What is 167 minutes after 12:58 PM?
3:45 PM
How many minutes are | {
"pile_set_name": "DM Mathematics"
} |
, 3062, 4634, 6264, 7970, 9770, 11682?
3*d**3 + 2*d**2 + 1505*d + 20
What is the k'th term of -9673756, -9673758, -9673760, -9673762?
-2*k - 9673754
What is the u'th term of 169, 657, 1465, 2593?
160*u**2 + 8*u + 1
What is the m'th term of 3583, 7169, 10755, 14341, 17927?
3586*m - 3
What is the x'th term of -9713, -19395, -29065, -38717, -48345, -57943?
x**3 - 9689*x - 25
What is the f'th term of -71013, -142023, -213033?
-71010*f - 3
What is the b'th term of -40, -196, -492, -958, -1624, -2520, -3676, -5122?
-5*b**3 - 40*b**2 - b + 6
What is the x'th term of 19835, 39493, 59151, 78809, 98467, 118125?
19658*x + 177
What is the p'th term of 1945, 1700, 1301, 754, 65?
p**3 - 83*p**2 - 3*p + 2030
What is the w'th term of -69155, -138302, -207435, -276548, -345635, -414690, -483707, -552680?
w**3 + w**2 - 69157*w
What is the s'th term of -299, -402, -505, -608, -711, -814?
-103*s - 196
What is the v'th term of 123, 485, 1077, 1887, 2903, 4113, 5505?
-2*v**3 + 127*v**2 - 5*v + 3
What is the v'th term of 37610, 75219, 112828, 150437, 188046?
37609*v + 1
What is the a'th term of 712, 2589, 5646, 9889, 15324?
a**3 + 584*a**2 + 118*a + 9
What is the w'th term of 2696, 2690, 2684?
-6*w + 2702
What is the p'th term of 247, 233, 209, 169, 107, 17, -107, -271?
-p**3 + p**2 - 10*p + 257
What is the b'th term of 605, 704, 843, 1016, 1217, 1440, 1679, 1928?
-b**3 + 26*b**2 + 28*b + 552
What is the k'th term of -1102, -2163, -3224, -4285, -5346, -6407?
-1061*k - 41
What is the k'th term of 15157, 30292, 45425, 60556?
-k**2 + 15138*k + 20
What is the s'th term of 757, 729, 665, 553, 381, 137, -191, -615?
-2*s**3 - 6*s**2 + 4*s + 761
What is the h'th term of 39102, 78199, 117296, 156393?
39097*h + 5
What is the x'th term of -13566, -13609, -13680, -13779, -13906, -14061?
-14*x**2 - x - 13551
What is the m'th term of -2831, -11337, -25509, -45347?
-2833*m**2 - 7*m + 9
What is the s'th term of 19, 238, 903, 2260, 4555?
41*s**3 - 23*s**2 + s
What is the u'th term of -5337, -10652, -15967, -21282, -26597?
-5315*u - 22
What is the g'th term of 87096, 87093, 87090, 87087?
-3*g + 87099
What is the i'th term of -52648, -105286, -157910, -210514, -263092, -315638, -368146, -420610?
i**3 + i**2 - 52648*i - 2
What is the t'th term of 219, 775, 1687, 2955, 4579, 6559?
178*t**2 + 22*t + 19
What is the i'th term of 2817, 2780, 2719, 2634, 2525?
-12*i**2 - i + 2830
What is the q'th term of 14381992, 14381991, 14381990, 14381989, 14381988?
-q + 14381993
What is the v'th term of -240, -493, -742, -987, -1228, -1465?
2*v**2 - 259*v + 17
What is the m'th term of 16046, 32094, 48144, 64196, 80250?
m**2 + 16045*m
What is the v'th term of 244, 502, 916, 1480, 2188?
-v**3 + 84*v**2 + 13*v + 148
What is the s'th term of 4282, 8552, 12822?
4270*s + 12
What is the n'th term of -33363, -33358, -33353, -33348?
5*n - 33368
What is the g'th term of -4352, -4355, -4362, -4373?
-2*g**2 + 3*g - 4353
What is the s'th term of -50129, -50140, -50159, -50186, -50221, -50264, -50315?
-4*s**2 + s - 50126
What is the x'th term of 1048, 1920, 2792, 3664, 4536, 5408?
872*x + 176
What is the i'th term of 24807, 24819, 24845, 24891, 24963, 25067, 25209, 25395?
i**3 + i**2 + 2*i + 24803
What is the l'th term of -29781, -29785, -29789?
-4*l - 29777
What is the v'th term of 70, 94, 104, 100, 82?
-7*v**2 + 45*v + 32
What is the a'th term of -54315, -108633, -162955, -217281?
-2*a**2 - 54312*a - 1
What is the q'th term of -514399, -1028795, -1543191, -2057587, -2571983?
-514396*q - 3
What is the l'th term of 3053, 6109, 9171, 12239?
3*l**2 + 3047*l + 3
What is the w'th term of -23, -68, -159, -314, -551, -888, -1343, -1934?
-3*w**3 - 5*w**2 - 9*w - 6
What is the y'th term of -261639, -523274, -784909, -1046544, -1308179, -1569814?
-261635*y - 4
What is the f'th term of 4746, 38013, 128314, 304167, 594090, 1026601, 1630218?
4753*f**3 - f**2 - f - 5
What is the o'th term of 1809, 3546, 5241, 6888, 8481, 10014, 11481?
-o**3 - 15*o**2 + 1789*o + 36
What is the z'th term of 146, 299, 454, 611?
z**2 + 150*z - 5
What is the d'th term of -1100, -2202, -3304, -4406, -5508, -6610?
-1102*d + 2
What is the q'th term of -351, -1288, -2799, -4884, -7543, -10776?
-287*q**2 - 76*q + 12
What is the o'th term of 8061, 16037, 23927, 31731, 39449?
-43*o**2 + 8105*o - 1
What is the h'th term of 3996, 3967, 3940, 3915, 3892?
h**2 - 32*h + 4027
What is the v'th term of 31219, 62462, 93705, 124948, 156191, 187434?
31243*v - 24
What is the r'th term of -101, 46, 457, 1270, 2623?
23*r**3 - 6*r**2 + 4*r - 122
What is the j'th term of -858, -726, -590, -450, -306?
2*j**2 + 126*j - 986
What is the p'th term of -69404, -69394, -69384?
10*p - 69414
What is the v'th term of 4645, 9089, 13535, 17983?
v**2 + 4441*v + 203
What is the m'th term of 229, 473, 717?
244*m - 15
What is the y'th term of 425, 850, 1283, 1730, 2197, 2690, 3215, 3778?
y**3 - 2*y**2 + 424*y + 2
What is the o'th term of -68702, -68712, -68736, -68780, -68850?
-o**3 - o**2 - 68700
What is the h'th term of 849, 1720, 2595, 3474, 4357?
2*h**2 + 865*h - 18
What is the t'th term of -14672, -29340, -44006, -58670, -73332, -87992, -102650?
t**2 - 14671*t - 2
What is the i'th term of 3924, 7789, 11616, 15405, 19156?
-19*i**2 + 3922*i + 21
What is the x'th term of -168801, -168803, -168805, -168807, -168809, -168811?
-2*x - 168799
What is the u'th term of 185, 394, 659, 1010, 1477?
5*u**3 - 2*u**2 + 180*u + 2
What is the s'th term of -2651, -2854, -3057, -3260, -3463?
-203*s - 2448
What is the x'th term of 417, 981, 1545?
564*x - 147
What is the k'th term of 103, 127, 173, 241, 331?
11*k**2 - 9*k + 101
What is the k'th term of 88, 378, 872, 1570, 2472, 3578, 4888?
102*k**2 - 16*k + 2
What is the s'th term of 1706915, 1706922, 1706933, 1706948, 1706967, 1706990, 1707017?
2*s**2 + s + 1706912
What is the j'th term of -51557, -103105, -154653, -206201, -257749?
-51548*j - 9
What is the g'th term of 2005991, 2005992, 2005993?
g + 2005990
What is the j'th term of 3096, 3079, 3052, 3009, 2944?
-j**3 + j**2 - 13*j + 3109
What is the o'th term of 6822, 6834, 6862, 6912, 6990?
o**3 + 2*o**2 - o + 6820
What is the w'th term of 971, 1939, 2911, 3887?
2*w**2 + 962*w + 7
What is the a'th term of -10754, -10756, -10760, -10766, -10774, -10784, -10796?
-a**2 + a - 10754
What is the o'th term of 250212, 250209, 250206, 250203, 250200, 250197?
-3*o + 250215
What is the k'th term of -559, -1067, -1549, -1993, -2387, -2719?
2*k**3 + k**2 - 525*k - 37
What is the v'th term of -28107, -28109, -28127, -28173, -28259, -28397, -28599, -28877?
-2*v**3 + 4*v**2 - 28109
What is the c'th term of 244, 240, 238, 238?
c**2 - 7*c + 250
What is the o'th term of -19861, -19900, -19965, -20056, -20173?
-13*o**2 - 19848
What is the a'th term of -4009, -16049, -36121, -64225, -100361, -144529?
-4016*a**2 + 8*a - 1
What is the s'th term of 7033, 28034, 63027, 112006, 174965, 251898, 342799?
-s**3 + 7002*s**2 + 2*s + 30
What is the z'th term of 44, 73, 66, -37, -296, -771, -1522?
-10*z**3 + 42*z**2 - 27*z + 39
What is the u'th term of 300019, 300018, 300017, 300016?
-u + 300020
What is the n'th term of -289, -655, -1021?
-366*n + 77
What is the h'th term of -2261, -2266, -2271, -2276?
-5*h - 2256
What is the v'th term of -41781, -41804, -41865, -41982, -42173, -42456, -42849, -43370?
-3*v**3 - v**2 + v - 41778
What is the u'th term of 1055, 703, 339, -43, -449, -885?
-u**3 - 345*u + 1401
What is the l'th term of 107, 320, 703, 1280, 2075, 3112?
4*l**3 + 61*l**2 + 2*l + 40
What is the i'th term of -680860, -680861, -680862, -680863, -680864?
-i - 680859
What is the y'th term of 131210, 131221, 131246, 131291, 131362, 131465, 131606, 131791?
y**3 + y**2 + y + 131207
What is the t'th term of -42, -51, -26, 33, 126, 253?
17*t**2 - 60*t + 1
What is the b'th term of -2430, -2437, -2430, -2403, -2350, -2265, -2142?
b**3 + b**2 - 17*b - 2415
What is the i'th term of -6378543, -6378541, -6378539, -6378537, -6378535?
2*i - 6378545
What is the i'th term of -52, -502, -1738, -4156, -8152?
-66*i**3 + 3*i**2 + 3*i + 8
What is the s'th term of -11079, -10739, -10171, -9375, -8351, -7099?
114*s**2 - 2*s - 11191
What is the d'th term of -70278, -140559, -210842, -281127?
-d**2 - 70278*d + 1
What is the f'th term of -7094520, -70945 | {
"pile_set_name": "DM Mathematics"
} |
000
What is the lowest common multiple of 160 and 3596760?
14387040
Calculate the common denominator of -179/966 and -11/8157.
2626554
What is the least common multiple of 80 and 1725548?
34510960
Calculate the least common multiple of 84740397 and 169608.
677923176
What is the least common multiple of 318 and 437462?
1312386
Calculate the smallest common multiple of 30 and 1972953.
19729530
What is the least common multiple of 125 and 5952775?
29763875
Calculate the common denominator of 21/407 and 17/12456.
5069592
Find the common denominator of 87/570220618 and 35/13993144.
2280882472
What is the common denominator of -7/189411 and 11/150?
9470550
Find the common denominator of -7/318 and 131/16638.
881814
Calculate the common denominator of -95/105064 and 103/11819700.
23639400
What is the lowest common multiple of 301266 and 28692?
602532
What is the common denominator of 22/31065909 and 8/903?
31065909
Find the common denominator of 73/27 and -50/2070969.
18638721
What is the least common multiple of 836 and 16254652?
178801172
What is the common denominator of -41/3368712 and 14/3?
3368712
Calculate the least common multiple of 828692 and 4.
828692
Calculate the common denominator of 53/20088 and -127/3490848.
31417632
What is the least common multiple of 186 and 6526802?
19580406
Find the common denominator of 49/186264 and -19/1144.
2048904
Find the common denominator of -137/3642390 and -163/89845620.
269536860
Calculate the least common multiple of 10 and 24903154.
124515770
Find the common denominator of -46/208268255 and 27/260.
833073020
What is the common denominator of -11/500414 and -51/13260971?
26521942
What is the lowest common multiple of 258470 and 590?
15249730
What is the lowest common multiple of 12012 and 44940?
6426420
Calculate the lowest common multiple of 8377376 and 281120.
41886880
What is the common denominator of 77/3522546 and 56/1761273?
3522546
Find the common denominator of -49/5032 and -9/5451220.
403390280
Calculate the common denominator of -50/347949 and -1/297.
3827439
What is the smallest common multiple of 16945 and 45182148?
225910740
What is the least common multiple of 19768650 and 1054328?
79074600
Calculate the lowest common multiple of 2286 and 19756.
22581108
Calculate the least common multiple of 103356237 and 9.
310068711
What is the common denominator of 5/81 and -161/15320160?
137881440
What is the least common multiple of 4659940 and 50?
23299700
Calculate the smallest common multiple of 68 and 47497.
3229796
What is the smallest common multiple of 241937 and 399722?
9193606
What is the least common multiple of 134 and 169316?
11344172
Calculate the common denominator of 34/23901 and -74/215109.
215109
What is the common denominator of 10/1730261 and 81/250?
432565250
What is the common denominator of -91/115707336 and 16/754017?
1272780696
Calculate the common denominator of 59/289420 and -17/99800.
2894200
Calculate the smallest common multiple of 269328561 and 4164.
1077314244
Calculate the smallest common multiple of 7887598 and 39437990.
39437990
Calculate the common denominator of -15/61268 and 75/25228.
428876
Calculate the lowest common multiple of 3324 and 144684.
40077468
Find the common denominator of -97/29687427 and -71/10795428.
118749708
Find the common denominator of 95/68214186 and 91/23022.
68214186
What is the lowest common multiple of 59856 and 46096?
4010352
What is the common denominator of -133/740826 and 67/986?
21483954
What is the lowest common multiple of 3942 and 2078310?
18704790
What is the common denominator of -109/11914 and -113/56?
47656
What is the lowest common multiple of 3562412 and 35532?
96185124
What is the common denominator of -43/2457 and -50/343218603?
3088967427
What is the lowest common multiple of 23944 and 231848?
9505768
Calculate the common denominator of -76/14063967 and -127/15626630.
140639670
Calculate the least common multiple of 21791745 and 3.
21791745
Calculate the common denominator of 197/3780 and 27/761045.
575350020
Find the common denominator of 67/18568 and 31/179787192.
1977659112
What is the common denominator of -127/414048 and -37/284?
29397408
Find the common denominator of 109/12586950 and 181/112050.
37760850
What is the common denominator of -131/3290814 and -131/5202?
951045246
Calculate the common denominator of -23/7789287 and -149/1416234.
15578574
What is the common denominator of -59/1224 and 71/762840?
12968280
Calculate the smallest common multiple of 26880 and 16339680.
130717440
What is the common denominator of 107/19459380 and 1/2326665?
214053180
Calculate the common denominator of 1/562239 and 59/3498376.
31485384
What is the common denominator of -74/38133 and 89/2991322?
26921898
Calculate the common denominator of -28/75 and 2/5328225.
5328225
Calculate the least common multiple of 83260210 and 649.
83260210
Find the common denominator of -37/481026 and 117/826.
28380534
What is the common denominator of -43/141102 and -77/352755?
705510
What is the lowest common multiple of 1727496 and 15?
8637480
Calculate the lowest common multiple of 1455050 and 960333.
48016650
Find the common denominator of -143/1385694 and 75/1532.
2771388
Calculate the common denominator of -68/19719 and 57/2245.
44269155
Calculate the smallest common multiple of 47552 and 212498.
6799936
Find the common denominator of -59/317784 and 77/1236.
32731752
What is the lowest common multiple of 210887962 and 168065?
1054439810
What is the least common multiple of 79542 and 1964?
159084
Calculate the lowest common multiple of 26 and 23407.
608582
What is the least common multiple of 12 and 34787996?
104363988
Find the common denominator of 107/1361954 and 71/14.
9533678
Calculate the smallest common multiple of 3047682 and 3.
3047682
Calculate the common denominator of -121/231280 and -29/2090.
48337520
Calculate the least common multiple of 8778 and 1257762.
8804334
Calculate the common denominator of 161/55704 and -137/6732.
2840904
Calculate the common denominator of -101/1496 and -7/42636.
85272
Find the common denominator of -29/6234 and -6/9811277.
58867662
Find the common denominator of 17/48889053 and -37/1957.
928892007
What is the least common multiple of 21753648 and 1553832?
21753648
What is the common denominator of -157/1836150 and 79/18361500?
18361500
Calculate the common denominator of -79/15152 and -35/8128.
7697216
Calculate the common denominator of 35/1314168 and -23/25296.
81478416
What is the common denominator of 89/4094328 and 13/554?
1134128856
Calculate the least common multiple of 137721990 and 234563.
964053930
What is the lowest common multiple of 1835816 and 464?
3671632
What is the common denominator of 101/15880 and -131/23820?
47640
What is the least common multiple of 6218840 and 4664130?
18656520
Find the common denominator of -37/2742760 and -107/50.
13713800
Find the common denominator of -119/30 and 19/15684672.
78423360
Calculate the common denominator of 99/12194 and 37/8838908.
61872356
Calculate the common denominator of -50/77 and 25/231418.
1619926
Find the common denominator of 36/2821 and -41/4205894.
54676622
What is the lowest common multiple of 40149 and 321192?
321192
What is the lowest common multiple of 2726724 and 2307228?
29993964
Calculate the least common multiple of 3881556 and 554508.
3881556
Calculate the common denominator of 8/18003 and -62/975339.
16580763
Calculate the lowest common multiple of 20 and 93555864.
467779320
Calculate the lowest common multiple of 2484 and 795555.
73191060
What is the least common multiple of 1859688 and 46043?
76247208
What is the common denominator of 145/1686126 and 53/24?
6744504
Calculate the common denominator of 1/6595524 and 62/255.
32977620
Calculate the lowest common multiple of 2201103 and 489134.
4402206
Calculate the least common multiple of 1846 and 166353.
4325178
What is the lowest common multiple of 969 and 3323024?
9969072
What is the lowest common multiple of 306364 and 153182?
306364
Calculate the least common multiple of 452356 and 1560.
176418840
Find the common denominator of -91/10 and -62/705495.
1410990
Calculate the least common multiple of 50138 and 278.
6969182
Calculate the common denominator of -1/129831 | {
"pile_set_name": "DM Mathematics"
} |
Factor w(r).
(r - 1)**2*(r + 4)**2
Let k(v) be the second derivative of -v**5/240 + v**4/24 - v**3/6 - v**2 + 2*v. Let t(b) be the first derivative of k(b). Let t(c) = 0. Calculate c.
2
Factor 1/3*v**3 - 2/3*v**2 + 1/3*v + 0.
v*(v - 1)**2/3
Let c(m) be the third derivative of -1/6*m**3 + m**2 + 0 + 1/1080*m**6 + 1/360*m**5 - 1/36*m**4 + 0*m. Let i(z) be the first derivative of c(z). Factor i(s).
(s - 1)*(s + 2)/3
Let r be (6 - 159/27)/((-3)/(-12)). Factor 0*y**2 - 2/9*y**3 - r + 2/3*y.
-2*(y - 1)**2*(y + 2)/9
Let h(i) be the first derivative of 2/15*i**5 + 0*i - 4 - 2/9*i**3 + 1/3*i**2 - 1/6*i**4. Let h(x) = 0. What is x?
-1, 0, 1
Let z(s) be the third derivative of -1/525*s**7 + 0*s + 1/5*s**4 - 13/150*s**5 - 4/15*s**3 + 1/50*s**6 + 0 - s**2. Suppose z(p) = 0. Calculate p.
1, 2
Let 4/3*c + 2/3*c**2 + 2/3 = 0. Calculate c.
-1
Let s(o) = 4*o**4 - 8*o**3 + 4*o**2 - 8. Let p(r) = r**4 - r**3 - r**2 + r - 1. Let j(w) = -8*p(w) + s(w). What is l in j(l) = 0?
-2, 0, 1
Let z(l) be the first derivative of l**4/24 - 5*l**3/18 + 7*l**2/12 - l/2 - 33. Suppose z(p) = 0. Calculate p.
1, 3
Let m(d) = -9*d**4 - 18*d**3 - 21*d**2. Let t(f) = 9*f**4 + 19*f**3 + 21*f**2 + f. Let w(g) = 5*m(g) + 6*t(g). Factor w(p).
3*p*(p + 1)**2*(3*p + 2)
Let g(h) = 2*h**2 - h + 1. Let d be g(-2). Solve -8*m**4 + d*m**4 - 6*m**4 = 0 for m.
0
Factor -3/4 + 1/2*k + 1/4*k**2.
(k - 1)*(k + 3)/4
Let p be 3 + ((-126)/(-10) - -4). Solve 8/5*n + 18*n**3 - p*n**5 + 0 - 56/5*n**4 + 56/5*n**2 = 0 for n.
-1, -2/7, 0, 1
Let s(t) be the second derivative of t**4/24 + t**3/6 + t**2/4 - 4*t. Determine h, given that s(h) = 0.
-1
Let n(i) be the second derivative of -i**6/165 + i**4/66 - 10*i. Factor n(l).
-2*l**2*(l - 1)*(l + 1)/11
Solve -84/5*n + 156*n**4 - 24/5 + 45*n**5 + 126/5*n**2 + 741/5*n**3 = 0 for n.
-2, -1, -2/5, 1/3
Factor 6*n + 4*n + 127*n**2 - 122*n**2.
5*n*(n + 2)
Let n(l) be the second derivative of l**9/60480 - l**8/13440 + l**7/10080 + l**4/12 + 3*l. Let f(h) be the third derivative of n(h). Let f(m) = 0. What is m?
0, 1
Let i(r) = r - 4. Let z be i(6). Let v = z - 0. Suppose 6*o**3 - 2*o + v*o**2 - 2*o**4 - 5*o**3 + o**3 = 0. Calculate o.
-1, 0, 1
Let t(v) = -22*v**2 + 1. Let g be t(-1). Let m be g/(-12) + (-1)/(-4). Find i such that -1/3*i + 1/3*i**m + 0 = 0.
0, 1
Factor 2/7*i**3 + 0 - 8/7*i + 0*i**2.
2*i*(i - 2)*(i + 2)/7
Let z = -560 + 560. Factor z + 4/7*a + 2/7*a**2 - 2/7*a**3.
-2*a*(a - 2)*(a + 1)/7
Suppose -3*c - 6 = 3*m, -5*c = 3*m - 7*m + 28. Factor 1/3 + 1/3*i**m + 2/3*i.
(i + 1)**2/3
Let n(p) be the first derivative of 5/4*p**4 - 3 - 2/3*p**3 + 0*p + 0*p**2. Solve n(y) = 0 for y.
0, 2/5
Let q(n) be the first derivative of n**5/5 + 3*n**4/4 - 2*n**3/3 - 6*n**2 - 8*n + 10. Factor q(m).
(m - 2)*(m + 1)*(m + 2)**2
Let k(w) be the third derivative of 0 + 0*w**3 + 1/30*w**5 - 1/12*w**4 + 0*w - 3*w**2. Factor k(l).
2*l*(l - 1)
Let h = 5 + -2. What is l in 11*l**5 + 3*l**2 - 16*l**5 + 8*l**5 - 3*l**3 - h*l**4 = 0?
-1, 0, 1
Suppose -4*v = v - 30. Let k(b) be the third derivative of -1/300*b**5 - b**2 + 0*b + 0*b**4 + 0 + 1/1050*b**7 + 1/600*b**v - 1/1680*b**8 + 0*b**3. Factor k(m).
-m**2*(m - 1)**2*(m + 1)/5
Let o = 66 + -35. Let c = -17 + 20. Solve -o*w**4 - 14*w**2 + 21/2*w**5 + 0 + 65/2*w**c + 2*w = 0 for w.
0, 2/7, 2/3, 1
Solve -2/5 + 2/5*t**2 - 1/5*t**3 + 1/5*t = 0 for t.
-1, 1, 2
Let b(z) be the second derivative of z**5/70 - z**4/6 - 17*z**3/21 - 9*z**2/7 + 10*z. Solve b(n) = 0 for n.
-1, 9
Let f be 2 + 1 - 12/5. Factor 0*l**4 - 4/5*l**3 + f*l + 2/5*l**2 - 2/5 + 1/5*l**5.
(l - 1)**3*(l + 1)*(l + 2)/5
Let f(o) be the third derivative of -o**5/60 + 2*o**3/3 + 3*o**2. Factor f(m).
-(m - 2)*(m + 2)
Determine p so that 3*p + 51 + 3*p**3 - 51 - 6*p**2 = 0.
0, 1
Let j(d) be the second derivative of d**6/165 - d**5/55 - d**4/22 - 44*d. Let j(p) = 0. What is p?
-1, 0, 3
Let i(b) be the first derivative of 0*b + 1/12*b**3 + 8 + 0*b**2 + 1/16*b**4. Factor i(a).
a**2*(a + 1)/4
Suppose 2*t + 0*i = -5*i + 24, -14 = -5*t - i. Let 9*v**3 - 3*v**4 + 0*v**2 - 3*v**3 + 0*v**t = 0. Calculate v.
0, 2
Factor 2*u**2 + 0 - 3 - 2*u**3 + 2*u + 0*u**3 + 1.
-2*(u - 1)**2*(u + 1)
Let z be (-15)/4 + 1/(-4). Let g = 7 + z. Let 0*s**g + 1/3*s**4 - 2/3*s**2 + 1/3 + 0*s = 0. Calculate s.
-1, 1
Let q(p) = -4*p**5 + 12*p**4 - 8*p**3 - 8*p - 8. Let k(v) = 3*v**5 - 8*v**4 + 5*v**3 + 5*v + 5. Let u(o) = 8*k(o) + 5*q(o). Solve u(l) = 0.
0, 1
Let z(l) be the third derivative of -l**7/3360 - l**6/1440 + l**3/3 - 3*l**2. Let r(p) be the first derivative of z(p). Factor r(g).
-g**2*(g + 1)/4
Let a(c) = -c. Let u be a(6). Let h be (u - -5) + 3 + 1. Let 0*f**h - 2*f**2 + 4*f - 2*f**3 + f**4 + f**4 + 2*f**5 - 4*f**3 = 0. Calculate f.
-2, -1, 0, 1
Let d(l) = -2*l**2 + 6*l + 4. Let a(p) = p - 1. Let f(r) = 2*a(r) - d(r). Factor f(g).
2*(g - 3)*(g + 1)
Suppose 0 = 2*w - 4*w + 6. Suppose 3 + 0*y**2 + y - 2*y**2 - 3 + y**w = 0. Calculate y.
0, 1
Let a(c) be the third derivative of 2*c**2 + 0 + 1/12*c**3 + 0*c + 0*c**4 - 1/120*c**5. Let a(x) = 0. Calculate x.
-1, 1
Factor -102*c**2 + 53*c**2 + 1 - 6 + 34*c**2 - 5*c**3 - 15*c.
-5*(c + 1)**3
Let s(m) be the second derivative of -m**5/20 - m**4/3 - 2*m**3/3 - 4*m. Factor s(v).
-v*(v + 2)**2
Let j(k) = -k**2 - 5*k + 6. Let m be j(-6). Suppose 2*a + z - 3*z = 0, 4*z = -4*a. Factor a*w**2 + 2/9*w**4 - 2/9*w**3 + 0*w + m.
2*w**3*(w - 1)/9
Let -4*p**4 + 0*p - 1/2*p**2 - 7/2*p**3 + 8*p**5 + 0 = 0. What is p?
-1/4, 0, 1
Suppose -4*v = -4*h - 28, 3*h - 11 = -v + 5*h. Factor -1/2 + 2*k - v*k**2 + 2*k**3 - 1/2*k**4.
-(k - 1)**4/2
Suppose -3*a + 5*f = -2*a - 20, 32 = 4*a - 4*f. Solve -4*t - t**2 + t**4 + 5*t**3 - 2*t**4 + 8 - 10*t**2 + a*t**2 = 0.
-1, 2
Suppose -3/4 + 0*r + 3/4*r**2 = 0. What is r?
-1, 1
Let s(b) be the second derivative of 3*b**5/80 + b**4/12 + b**3/24 + 7*b. Factor s(m).
m*(m + 1)*(3*m + 1)/4
Let z(v) = -2*v**3 - 11*v**2 + 7*v + 8. Let m be z(-6). Suppose 2/5*u - 4/5*u**3 + 2/5*u**m + 0 = 0. Calculate u.
-1/2, 0, 1
Let k(l) be the second derivative of -1/147*l**7 + 0*l**2 + 0*l**6 + 0*l**4 - 4*l - 1/21*l**3 + 0 + 1/35*l**5. Factor k(v).
-2*v*(v - 1)**2*(v + 1)**2/7
Factor 151*b - 65*b**2 + 149*b - 360 + 5*b**3 - 5*b**2.
5*(b - 6)**2*(b - 2)
Let c(w) = -4*w**3 + w**3 + w**2 - 4*w**2 + 1 + 5*w**3. Let i be c(2). Factor -2*g**4 + 4*g**3 - g**2 - 2*g**i + g**2.
-2*g**3*(g - 1)*(g + 2)
Let z(m) be the second derivative of m**4/6 - 3*m. Determine h, given that z(h) = 0.
0
Suppose p + 5*p = -0*p. Solve -1/4*i**3 + 1/4*i**2 + 1/4*i + p - 1/4*i**4 = 0 for i.
-1, 0, 1
Suppose 0*j = -2*j - k + 9, -4 = -4*k. Let w(f) be the third derivative of 0*f**3 + f**2 + 0*f + 0 - 1/48*f**j - 1/120*f**5. Factor w(h).
-h*(h + 1)/2
Let u(g) = -8*g**4 + 6*g + 6. Let a(w) = -w**4 + w + 1. Let m = 7 + -1. Let x(p) = m*a(p) - u(p). Suppose x(l) = 0. Calculate l.
0
Factor 5/4*l - 1/4 - 5/4*l**4 + 1/4*l**5 - 5/2*l**2 + 5/2*l**3.
(l - 1)**5/4
Let -2/3*r**5 - 2*r**4 + 0*r - 2*r**3 + 0 - 2/3*r**2 = 0. What is r?
-1, 0
Suppose p = 6*p + 20. Let g = p + 6. Determine h so that h - g*h - h**3 + 2*h**3 = 0.
-1, 0, 1
Find q, given that 2/3 - 1/3*q - 1/3*q**2 = 0.
-2, 1
Let h be 0 - -2*(0 + (-2)/(-6)). What is q in 0 + 5/3*q**3 + h*q - 7/3*q**2 = 0?
0, 2/5, 1
Let r(n) = n**4 + n**2 - n + 1. Let z(t) = 15*t**3 - 20*t**2 - 30*t + 25. Let s(l) = -5*r(l) - z(l). Factor s(m).
-5*(m - 1)**2*(m + 2)*(m + 3)
Let m = -16 + 29. Factor 2*k - m*k**2 + 4 - 7*k**2 + 2*k**4 - 2*k**3 + 14*k**2.
2*(k - 2)*(k - 1)*(k + 1)**2
Let j(f) = f**2 + 6*f + 2. Let g be j(-6). Suppose 14 = y - 2*n, y + g*n = -3*n - 21. Factor -d**y + 1 + 2 + d**2 - 3.
-d**2*(d - 1)*(d + 1)
Let y(a) = -a**4 + 5*a**3 - 6*a**2 - 4*a + 11. Let w(x) = -2*x**4 + 10*x**3 - 12*x**2 - 8*x + 21. Let r(q) = -3*w(q) + 5*y(q). Solve r(n) = 0.
-1, 2
Let b(z) = -3*z - 73. Let q be b(-25). Factor -1/2*a**q + 1/2*a + 1.
-(a - 2)*(a + 1)/2
Let y(g) = -g**3 + 5*g**2 + g + 1. Let z be y(5). Determine h so that 0 + 25*h**3 - 15*h - 12*h**3 + z + 12*h**2 - 16*h**3 = 0.
1, 2
Let g(a) be the third derivative of a**7/840 - a**6/120 + a**5/40 - a**4/24 + a**3/24 - a**2. Factor g(u).
(u - 1)**4/4
Let q(g) be the third derivative of g**6/540 - g**5/90 + g**4/54 + 6*g**2. Determine c, given that q(c) = 0.
0, 1, 2
Let s = -6/13 + 37/52. Find q, given that 0*q**3 + 0*q - 1/4 | {
"pile_set_name": "DM Mathematics"
} |
et q be w(-7). Let t = q + -11. Sort t, 3, 4 in increasing order.
t, 3, 4
Suppose -2*z + 24 = 4*l - 0*z, -2*l + z = -4. Suppose 0*k - 12 = l*k. Let p = -456 + 459. Sort p, k, 0 in descending order.
p, 0, k
Suppose 0 = 3*g + 4*v + 7 + 3, 4*g - 3*v = -55. Let d be 666/g + (-3 - -2). Let i = d + 68. Sort 1/4, -4, i in decreasing order.
i, 1/4, -4
Let z be 1*(0 + -2) - -1. Suppose 4*d = 16, -3*d = 2*y - 1 - 1. Sort y, z, -3 in decreasing order.
z, -3, y
Let t be (6/(-56))/((-1)/(-4)). Let c = 8.1 - 3.1. Sort t, c, -1/2 in descending order.
c, t, -1/2
Let p = -105 - -523/5. Let t = -11 - -16. Put 1/8, t, p in decreasing order.
t, 1/8, p
Suppose 28 = -2*w + 9*w. Put -3, -4, 1, w in decreasing order.
w, 1, -3, -4
Let t(p) be the first derivative of -p**3/3 - 5*p**2/2 - 4*p - 3. Let n be t(-5). Let s(z) = -z**2 - 3*z + 5. Let f be s(n). Sort 2, f, -3 in increasing order.
-3, f, 2
Let p = 9 + -7.8. Let q = p + -1. Sort q, 1, 2/17.
2/17, q, 1
Suppose 9 = -2*p + 5. Sort -7, p, -3 in decreasing order.
p, -3, -7
Let t = 3 - 2.2. Let p = t - 1. Let c(s) = s**2 - 5*s. Let h be c(5). Put p, h, 5 in descending order.
5, h, p
Let c(t) = t**3 + 15*t**2 + 14*t. Let s be c(-14). Let h = 6 - 5. Sort s, h, -8 in ascending order.
-8, s, h
Let o(s) = s + 7. Let a be o(-6). Suppose 0 = -5*t + 7 - 17. Let h be t/(-6) - 10/3. Put h, 2, a in decreasing order.
2, a, h
Suppose 2*r + 7 = 3*z, 3*z + 6 = 4*r + z. Put r, 3, 5 in decreasing order.
5, r, 3
Let m be -1*(3 + -3 + 0). Sort 1/2, m, -5 in ascending order.
-5, m, 1/2
Let w = 1387/49470 + 2/1455. Let a = 31/102 + w. Sort a, 0.03, 3.
0.03, a, 3
Let g(q) = -2*q**2 - 13*q - 4. Let r be g(-6). Sort r, 4, 5 in decreasing order.
5, 4, r
Let i be (-9)/6*8/6. Sort -1, i, 2 in decreasing order.
2, -1, i
Let v(h) = h**3 - 3*h**2 - 5*h + 2. Let g be v(4). Let w be 21/(-342) + (-3)/(-18). Put -0.3, w, g in descending order.
w, -0.3, g
Let g = 46 - 44. Sort g, 0, -2, -1 in increasing order.
-2, -1, 0, g
Let k = -0.01 - 0.22. Let m = -0.1 - k. Sort m, -3, -1.
-3, -1, m
Suppose -3*u - u = -3*j - 69, 0 = -u + j + 17. Suppose 2*s = -6, 5*h + u = -4*s - 14. Sort -3, h, -2 in descending order.
-2, -3, h
Suppose p - 5*p + 21 = -s, -s = -3. Suppose -1 + p = q. Suppose -a - 3*c - 13 = 0, 4*c + q + 16 = -5*a. Sort 1, a, 0 in descending order.
1, 0, a
Suppose -5*a = -4*a. Suppose 0 = 4*s - 19 + 15. Put 4, s, a in increasing order.
a, s, 4
Suppose 0 = 5*d - d + 112. Let u = -8 - d. Suppose u = -5*m - 5. Sort m, -2, -3.
m, -3, -2
Let a = 14 + -16. Sort -1, -4, a.
-4, a, -1
Suppose -4*b - 3*c + 7*c - 24 = 0, 5*c = 5. Sort b, -16, -2 in ascending order.
-16, b, -2
Let w = 2 + -4. Suppose 4*l - 3*h = 20, 4*l - h = 5 + 15. Put w, l, 1 in descending order.
l, 1, w
Let i be (-21)/(-27) - 2/(-9). Suppose 0 = z + 2*z + 15, 3*z + 13 = x. Put i, 2, x in decreasing order.
2, i, x
Let f(p) = p**3 + 9*p**2 - p - 3. Let i be f(-9). Suppose 0 = 3*g - i - 3. Let d = g + 0. Put -1, d, 1 in decreasing order.
d, 1, -1
Let f be (-2 + 4)*(11/2 - 5). Let t = -0.3 + 0.8. Put -1, f, t in descending order.
f, t, -1
Suppose 0*f - m = -5*f + 8, 0 = -2*m - 6. Suppose 0*q - 5*q = l - 29, 5*q - 17 = 2*l. Put -4, q, f in increasing order.
-4, f, q
Suppose -2*o = 4*b + 22, -5*o - 4*b = -b + 41. Suppose -12 = 3*i + 24. Let v = o - i. Sort v, 1, 3 in descending order.
v, 3, 1
Let l = -4279/13 - -329. Sort 29, l, 1 in descending order.
29, 1, l
Let y = 35 - 40. Sort -1/4, 2, y in ascending order.
y, -1/4, 2
Let i be 55/(-30) - (-3)/(-18). Sort 5, -4, i in increasing order.
-4, i, 5
Let k = -4 - -14. Sort -5, 3, k in decreasing order.
k, 3, -5
Suppose 3*d + 16 - 4 = 0. Sort -3, d, 3, 5 in decreasing order.
5, 3, -3, d
Suppose 2*g = -o, -5*g + 3*o - 9 = -2*g. Sort g, 5, -18.
-18, g, 5
Suppose 0*v + v = -1. Let p be (v/3)/((-14)/6). Let i = -148/7 + 145/7. Put p, i, 2/21 in descending order.
p, 2/21, i
Let s(f) = -f + 5. Let v be s(6). Suppose -5*r = 4*b + 13, -3*b + 5*r + 0 - 1 = 0. Let p = b - v. Put -2, p, 4 in descending order.
4, p, -2
Let m be 15/(-18) + 3/(-18). Sort -4, 1, m, -3.
-4, -3, m, 1
Let k = -833/6 - -139. Sort -5, k, 2/31 in decreasing order.
k, 2/31, -5
Let s be 2/1 - (-2 - -3). Put s, 5, 4 in descending order.
5, 4, s
Let p be 5 - (-1 - 2 - -4). Suppose -2*d - 10 = -7*d. Sort 0.2, d, p.
0.2, d, p
Let i = -1/43 - -89/129. Suppose 3*c = 2*c + 1. Let q = -3/4 + c. Put q, i, 1/7 in descending order.
i, q, 1/7
Let y be 9/2 + 3/(-2). Suppose -y*r - 3 = -0*r. Sort r, 2, 1 in decreasing order.
2, 1, r
Let k be (-35)/(-15) - (-1)/(-3). Let z = -3 + k. Let y be z/(-1*(-2)/6). Put 0, y, 4 in descending order.
4, 0, y
Let n be (-5)/(-20) - (-38)/8. Suppose 0 = y - n, 5*c + 2*y + 25 = 6*y. Let k(w) = -w**2 - 3*w + 4. Let l be k(-3). Sort c, l, 2 in descending order.
l, 2, c
Let q = 6 - 2. Suppose l = q*l - 3. Sort l, -4, 5 in decreasing order.
5, l, -4
Let b = 2 - -2. Put b, -8, -5 in increasing order.
-8, -5, b
Let w = 12 + -12.1. Let q be 1/(-2)*0/(-6). Sort w, q, 2/11 in increasing order.
w, q, 2/11
Let w = 0.439 - 8.379. Let n = 8 + w. Let f = n + -2.06. Put -5, 2/5, f in descending order.
2/5, f, -5
Let v = -22 + 18. Sort 4, 7, v, -2 in decreasing order.
7, 4, -2, v
Let o be -2*((-5)/(-1) + -3). Let h = -5 - -3. Sort -5, h, o in ascending order.
-5, o, h
Suppose 10 + 14 = 8*b. Put -7, -4, b in decreasing order.
b, -4, -7
Let x = 18 - 30. Let p = x + 23. Put 0, p, -5 in descending order.
p, 0, -5
Let q = 7 - 3. Suppose 0 = -4*o - 4*j + 7 + 9, -2*o - j + 5 = 0. Put -3, q, o in descending order.
q, o, -3
Let t = 1.1 - 1.5. Sort -1, 0.1, t.
-1, t, 0.1
Let f be (7/5 + -1)/1. Sort -4, f, -0.01.
-4, -0.01, f
Let i = 91 + -118. Sort i, 5, 4 in descending order.
5, 4, i
Let d(w) = -7*w - 31. Let k be d(-4). Suppose 15 = -4*v - 5*n - 0*n, -3*v = n + 3. Sort v, -1, k.
k, -1, v
Let o(x) = -x**3 + 4*x**2 - 4*x + 10. Let v be o(4). Put 3, v, -1 in descending order.
3, -1, v
Let k be (1/5*0)/1. Sort -2, k, -5.
-5, -2, k
Suppose 2*q - 1 - 5 = 0. Suppose -3*f + 20 = -5*x + 5, -5*x + 5*f - 25 = 0. Let y = -1 - x. Sort q, 2, y in increasing order.
y, 2, q
Let p(q) = -q**3 - 9*q**2 - 2*q - 24. Let g be p(-9). Put -2, g, 2 in decreasing order.
2, -2, g
Suppose 3*x - 10 = 2*u, 3*x - 6 = u + x. Put 7, u, -4, -1 in increasing order.
-4, u, -1, 7
Suppose -85 = -0*y - 5*y. Suppose 3*l - 4*q = -1, -5*q + 3*q = -5*l + y. Sort 4, l, 2.
2, 4, l
Let o(j) = -j**3 - 7*j**2 - 5*j + 3. Let x be o(-6). Suppose -3*d = y - d, 0 = -3*y + 5*d. Put y, -2, x in decreasing order.
y, -2, x
Let z = 71 - 71.5. Suppose 0*w - 4*w - 8 = 0. Sort z, w, -5.
-5, w, z
Let i = -101/3 + 33. Sort i, 5, -3, 2/31 in increasing order.
-3, i, 2/31, 5
Let o = 68 + -67.8. Put 0.4, -0.3, 3/5, o in descending order.
3/5, 0.4, o, -0.3
Suppose 3*o = 4*y - 5 - 11, 0 = 4*o - y + 17. Let z = o - -5. Sort z, -6, 5 in decreasing order.
5, z, -6
Let t = -2 + 2.1. Let w = -105 - -101. Sort 4, w, t in decreasing order.
4, t, w
Let j be 9/(-12) - (-2)/(-8). Let d = 3 + j. Put d, -5, 3 in descending order.
3, d, -5
Let f(q) = q**3 + 12*q**2 + 12*q + 8. Let o be f(-11). Sort 0, -4, 1, o in increasing order.
-4, o, 0, 1
Suppose -5*b + 3*t - 5 = -2*t, b + 1 = 3*t. Let h = 6 - 1. Let w = 221 + -221.2. Sort h, b, w in decreasing order.
h, w, b
Let c be (55/75 + (-4)/10)/(-2). Sort c, -5, -1/2, 0.1 in descending order.
0.1, c, -1/2, -5
Let o = 12 + -16. Put -2, -2/3, o in increasing order.
o, -2, -2/3
Suppose u + 2*f = -0*f - 2, 5*f + 10 = -5*u. Suppose 0 = 4*g + 5*a + 3 - 72, 65 = 5*g + 2*a. Let j = 6 - g. Sort j, u, 1 in decreasing order.
1, u, j
Let n = -7 - -4. Let c(k) = k + 10. Let f be c(-14). Put n, f, -2 in ascending order.
f, n, -2
Let l be 0 + ((-310)/(-392))/(-1). Let o = 600/2107 - 14/43. Let m = o - l. Sort 0.5, m, 1.
0.5, m, 1
Let k be (-1)/((-3)/(7 + 2)). Let h = -6 + 4. Sort -4, k, h in decreasing order.
k, h, -4
Suppose -2*r - 3*r + 25 = 0. Put 2, -4, r in increasing order.
-4, 2, r
Let z(d) = d**3 - 24*d**2 - 23*d - 37. Let f be z(25). Sort f, -5, 4, -1 in increasing order.
-5, -1, 4, f
Let a(q) = -2*q - 5. Let j(u) = u + 2. Let i(b) = -4*a(b) - 9*j(b). Let p be i(-2). Let z be (-5)/((-1 - 0) + 2). Sort p, z, 1 in descending order.
p, 1, z
Suppose -23 = 5*m + o, m - 3*o + 15 = 2*o. Let h = 4 + m. Sort 0, h, -3.
-3, h, 0
Let x = | {
"pile_set_name": "DM Mathematics"
} |
8 = 0. List the prime factors of 9/x + 7 + 0.
2, 5
Let p = 3 - 1. Suppose 0 = p*r + 2*r - 84. Suppose 5*z + n - r = 0, 2*z + 2 = 3*n + 7. List the prime factors of z.
2
Let y = -32 + 116. List the prime factors of y.
2, 3, 7
Let a(i) = -i + 1. Let y be a(-2). What are the prime factors of 40 + (-3)/y + 0?
3, 13
Let b(i) = -i + 14. Let p be b(12). Suppose p*x - 61 + 7 = 0. List the prime factors of x.
3
Let w(h) = -h + 3. Let i be w(0). Suppose -2*l = -3*q - 6*l + 10, -l + i = q. List the prime factors of 16/q*(-25)/(-20).
2, 5
List the prime factors of ((-6842)/(-4))/11 + (-2)/4.
5, 31
Suppose -17 = 2*t + 5*d, -t + 5*t = 5*d - 109. What are the prime factors of -2*(t/2 - 0)?
3, 7
Let p(a) = 3*a**2. Let t be (-2)/3*(-9)/6. Let o be p(t). List the prime factors of 17/2 - o/6.
2
Let v = 0 + -1. List the prime factors of -2 + v - -6 - -7.
2, 5
Suppose -5*y - 4*w + 116 = 0, w + 3*w = -4*y + 96. List the prime factors of y.
2, 5
Let s(c) = 2*c**2 - 4*c + 2. Let m be s(5). Suppose 5*g + 26 = 2*z, -3*z = 2*g - 45 - m. List the prime factors of z.
23
Let a(c) = c**3 + 13*c**2 - 20*c - 17. List the prime factors of a(-13).
3
Let n(y) = -9*y**3 - y**2 + 1. Let z be n(-1). What are the prime factors of -1 + -1 + (z - -1)?
2
Let t(u) = -7*u + 7. What are the prime factors of t(-6)?
7
Suppose 3*g - 181 = -2*n, -5*n + 186 = 3*g - 2*n. Let f = -18 - -27. Suppose 0 = 4*z + f - g. What are the prime factors of z?
2, 3
Let a = 57 - 32. List the prime factors of a.
5
Let c = 18 + -15. List the prime factors of 32 + 3*2/c.
2, 17
Suppose 2*r + 3 = -5*m - 3, 3*r + 9 = -5*m. Suppose 50 = -m*l + 5*l. Suppose 5*n + 0*n - l = 0. What are the prime factors of n?
2
Let p(h) = 2*h**2 + 16*h + 15. What are the prime factors of p(-17)?
3, 107
Suppose 0 = -5*l + 86 + 1749. List the prime factors of l.
367
Suppose -4*s + 3*s + 3 = 0. Suppose -4 = -2*o, -s*a - 2*o + 45 = o. What are the prime factors of a?
13
Suppose 0 = 25*p - 21*p - 28. Let k(y) = y**2 - 1. Let u(c) = -c**3 + 11*c**2 + 7*c - 11. Let s(m) = 5*k(m) - u(m). List the prime factors of s(p).
2, 3
Suppose -42 - 19 = 5*h - 2*g, 0 = -2*h - 5*g - 36. Let a = 9 + h. What are the prime factors of 3*(-1)/6*a?
2
Suppose -4*q + 10 = -q + p, -3*q = -4*p + 10. Suppose 2*z = -q*z - 5*y + 173, 3*y = -2*z + 89. What are the prime factors of z?
37
Let m = 36 + -72. Let i be 0/(-3) + m + 2. Let t = i + 47. List the prime factors of t.
13
Suppose -7*h - 36 = -3*h. Let m = -45 - -32. Let r = h - m. List the prime factors of r.
2
Suppose 2*h - 3*h - k = -14, -4*h + 3*k = -77. Let z = -11 + h. What are the prime factors of z?
2, 3
Let f(y) = y**2 - 5*y + 4. Let w be f(12). Suppose 4*g - w = 16. List the prime factors of g.
2, 13
Let d = 66 - 47. List the prime factors of d.
19
Let g(k) be the first derivative of k**4/4 + k**2 + k + 7. What are the prime factors of g(2)?
13
Let v(r) = -14*r + 42. What are the prime factors of v(-14)?
2, 7, 17
Suppose 0*u = -3*g - 3*u - 3, 5*u = 4*g - 23. Suppose -4*h - 4*s = 24, g*h + 27 = s - 6*s. What are the prime factors of (2/(-2))/h + 8?
3
Let o = -6 + 30. Suppose -d = -4*d + o. What are the prime factors of d?
2
Suppose 5*s - 5*k - 235 = 0, 0*k - 4*k = -2*s + 88. Suppose 3*t - t = s. What are the prime factors of t?
5
Let t = 159 + -113. List the prime factors of t.
2, 23
Let y(b) = -b**2 - 11*b + 6. What are the prime factors of y(-5)?
2, 3
Let f(m) = 2*m - 6. Let s be f(5). Suppose -s*t + 3*t + 1 = 0. Suppose 5*l - 9 = t. What are the prime factors of l?
2
Suppose 0 = -6*x + 33 - 3. What are the prime factors of x?
5
Let a(u) = u**3 + 7*u**2 - 10*u - 5. What are the prime factors of a(-7)?
5, 13
Let g = -281 - -476. List the prime factors of g.
3, 5, 13
Suppose 5*i + 245 = -70. Let m = -117 - i. What are the prime factors of (m/(-12))/((-6)/(-8))?
2, 3
Let p(b) = b + 4. Let a be p(0). Suppose o + 0*o = a. What are the prime factors of o?
2
Let q = -247 + 362. Suppose 0 = 6*o - o - q. What are the prime factors of o?
23
What are the prime factors of 20/(-1 + 2) - -1?
3, 7
Let n = -36 + 14. Let x = -11 - n. List the prime factors of x.
11
Let w(b) = b**3 + 5*b**2 - 7*b + 8. Suppose 5*t = -34 + 4. What are the prime factors of w(t)?
2, 7
Suppose -3*w + 0*w + 210 = 0. List the prime factors of w.
2, 5, 7
Suppose -2*j = x - 357, -j = 5*x - x - 1463. List the prime factors of x.
367
Suppose 5*h + 3 = 8. List the prime factors of h/(-2 - 61/(-30)).
2, 3, 5
Let d(m) = m**2 - 3*m + 7. Let x(v) = v**2 - 3*v + 6. Let w(p) = 3*d(p) - 4*x(p). Let i be w(2). Let k = i - -11. List the prime factors of k.
2, 5
Let l be (-4)/(-18) - (-48)/27. Suppose 8 - 134 = -5*f - 3*a, -l*a = 6. List the prime factors of f.
3
Suppose -17 + 5 = -2*l. List the prime factors of l.
2, 3
Suppose -2*t - 5*f + 20 = 2*t, 2*t + 16 = 4*f. Suppose -2*k + 1 + 1 = t. List the prime factors of 15 - (-1 + 2 + k).
13
Suppose 4 = -2*z, -2*l + 2*z + z = -36. What are the prime factors of l?
3, 5
Let g = -21 + 31. Let z = g + -6. Suppose -8*s + 16 = -z*s. List the prime factors of s.
2
Let m be 29 - (-1 + 2 + -2). Let l = m - 14. List the prime factors of l.
2
Suppose 0 = -x + 2 + 4. Let l be (-64)/6 + (-2)/x. Let w = l - -24. What are the prime factors of w?
13
Suppose 4*u - g - 56 = 0, 2*u + 0*u + g - 34 = 0. List the prime factors of (9/u)/((-3)/(-15)).
3
Let l(s) = s**3 - 6*s**2 + s - 6. Let h be l(6). Suppose -20 = -4*d + 4*z, h = -d + 4*z + 15 - 4. List the prime factors of d.
3
Let q = -4 - -3. Let y = 4 + q. List the prime factors of y.
3
Let h = 7 - 4. Let x = 8 - h. Suppose 0*k + x = k. List the prime factors of k.
5
Let v(n) = -n**3 + 5*n**2 + 8*n - 8. Let w = 10 + -4. Let c be v(w). Suppose 0*s - 20 = -c*s. List the prime factors of s.
5
Let h = -5 - -50. What are the prime factors of h?
3, 5
Let l(t) be the second derivative of -t**5/20 + t**3/6 + 15*t**2/2 - 3*t. List the prime factors of l(0).
3, 5
Let o = -155 - -259. List the prime factors of o.
2, 13
Let r = -4 - -9. Suppose 11 = r*j - 34. What are the prime factors of j?
3
Let l = -6 + 9. Let y(z) = 0 + l*z - 6*z + 2. What are the prime factors of y(-4)?
2, 7
Suppose 8 = -4*w, -29 + 8 = -5*z + 3*w. Let x(s) = s**3 - 4*s**2 + 4. Let n be x(z). Let b(r) = -r + 2. What are the prime factors of b(n)?
7
Let p(r) = r**3 + 8*r**2 + r + 10. Let x be p(-8). Suppose -3*l - 2 = -4*l. Suppose -l*g - 1 = 3*o, x*o - 33 = 4*g - 7. What are the prime factors of o?
3
Let p be 5 - (-3)/(5 + -2). Let w be p - 4 - 1*-1. Let b = 7 - w. What are the prime factors of b?
2
Let l = -11 - -5. Let u = l + 9. Suppose u*c + 4*i - 56 = 0, -3*i + 70 = 3*c + c. What are the prime factors of c?
2
Let x(r) = r**2 - 5*r. Let o be x(5). List the prime factors of o/2 + 39/3.
13
Suppose v = 2*v - 33. What are the prime factors of v?
3, 11
Let r(x) = x**2. Let q be r(-2). Let b = 40 + -7. Suppose -24 = -q*t + l, -5*t + 0*l = -2*l - b. List the prime factors of t.
5
Let z = -44 - -269. Suppose -3*r = 2*r - z. What are the prime factors of r?
3, 5
Let f = 44 + 22. What are the prime factors of f?
2, 3, 11
Let h be (61/(-3))/((-6)/18). Let d = h - 26. Let f = d + -17. What are the prime factors of f?
2, 3
Suppose -j = -5*j - u + 364, -2*u = 0. List the prime factors of j.
7, 13
Let p = 3 - 1. Suppose p*u - 8 = -2. Suppose 4*l = -3*s + 41, u*l + 5*s - 17 = 11. What are the prime factors of l?
11
Let o(k) = 3*k**2 + k - 8. Let a(r) = -r**2 + r + 1. Let j(y) = 4*a(y) + o(y). Let m(i) = i + 6. Let l be m(-3). List the prime factors of j(l).
2
Let t = -35 - -35. Let l = 41 - 23. Suppose l = 3*x - t. What are the prime factors of x?
2, 3
Suppose z - 17 - 11 = 0. Let q = z + -4. List the prime factors of q.
2, 3
Let u be 7/2 - (-2)/(-4). Suppose -4 = -r - u. Suppose -5 = -2*b + r. What are the prime factors of b?
3
Let c be (6/(-4))/(3/(-6)). Suppose -c*m + 27 = -0*m. Suppose 5*r = -m + 44. List the prime factors of r.
7
Let g be 2 + 0 - (-92)/2. What are the prime factors of -2 - g/(-3) - 2?
2, 3
Suppose -4*o = -3*m + 46, m + 2 = 4*o + 28. What are the prime factors of m?
2, 5
Suppose -10 = 2*j, -3*g - 3*j = 2*j + 19. List the prime factors of g.
2
Suppose 4*w = 2*w + 2. Suppose 3 = d - w. List the prime factors of d.
2
Suppose 3*n = -2*n - b + 654, 4*b = 2*n - 244. List the prime factors of n.
2, 5, 13
Let m(f) = 5 | {
"pile_set_name": "DM Mathematics"
} |
b) -0.2 (c) -25 (d) 1/6 (e) -5 (f) 32 (g) 0.2
d
What is the third biggest value in 4/5, 0.101, 0.1, 9/886?
0.1
What is the fourth biggest value in 2, 8, -1/17, -5.224?
-5.224
What is the second biggest value in 3/4, -61/2, 71, -1, 4028?
71
What is the fifth smallest value in -13, -30, -11, -10, 0?
0
What is the third biggest value in 77.3, -2, -0.1337, 3/5?
-0.1337
What is the third smallest value in -1, -0.11, 569, -1/5?
-0.11
What is the second smallest value in -2/27, 0.139677, 4/5?
0.139677
Which is the second smallest value? (a) 317 (b) 4 (c) -75/4 (d) -302
c
What is the second smallest value in 27, 10, -1/8, 2/49, 0.01663?
0.01663
Which is the second biggest value? (a) -10 (b) -3 (c) -1 (d) 0.5 (e) 11 (f) -0.315 (g) 4
g
What is the second biggest value in -1/6, -1, 0.2905?
-1/6
What is the second biggest value in -0.04, 1/5, 4, 113037?
4
What is the biggest value in -27/1738994, -4, -2?
-27/1738994
Which is the second biggest value? (a) 4 (b) 16499 (c) 32
c
What is the fourth smallest value in -1, 1320, 5, 0, 4/3, 48/17?
48/17
Which is the second biggest value? (a) 1 (b) 0.1 (c) 4 (d) 2/7 (e) 182 (f) 283
e
Which is the second smallest value? (a) 158 (b) -13 (c) -12166
b
What is the fourth biggest value in 2, 2/3371, 1.2, 26?
2/3371
What is the smallest value in 2/3, 9/8855, 2.5?
9/8855
Which is the second smallest value? (a) 3 (b) -0.3331 (c) 6 (d) 29 (e) -6 (f) -0.04
b
Which is the third smallest value? (a) 0 (b) 2 (c) 29/2 (d) 3/7 (e) 1.6 (f) 0.04 (g) -4
f
What is the biggest value in -5, -0.16, -2, -3/7, 0, -18.1, -0.03361?
0
Which is the sixth biggest value? (a) -0.89 (b) 4 (c) 0.7 (d) 0 (e) -13559 (f) -2/3
e
Which is the biggest value? (a) -3/8 (b) 4 (c) 5 (d) -3/5 (e) -308 (f) -2/7 (g) -0.5
c
What is the third smallest value in -25, 0.4, 19/5, 22068?
19/5
What is the third biggest value in 0.3, -136/9, 8498.68?
-136/9
Which is the fourth biggest value? (a) 3 (b) 786 (c) -1/3 (d) -1 (e) -49648
d
What is the third smallest value in -18/11, 4, -360.26, 13?
4
Which is the second smallest value? (a) -3/7 (b) 5 (c) -48 (d) 6/7459
a
What is the fourth smallest value in -4, 2.595, -7, 0.058, 0.1?
0.1
Which is the smallest value? (a) -6772 (b) 158 (c) 5 (d) 9/2
a
What is the fourth biggest value in 34, -0.4, 1, -0.388?
-0.4
Which is the fourth smallest value? (a) 0.01 (b) 6 (c) 60/13 (d) -2913
b
What is the second smallest value in 28774, 2/11, -2/5, -0.05, 0.4?
-0.05
What is the fourth smallest value in 49.742, -0.5, 0.2, 6/7?
49.742
What is the biggest value in -10, -49, -0.5, -3/2, 2/5, -247?
2/5
What is the third biggest value in 3/10, 19, -7377?
-7377
What is the smallest value in -4905/7, 0.91, -3?
-4905/7
What is the fourth biggest value in -1, -29873720, 5, 3?
-29873720
Which is the third smallest value? (a) 1/119 (b) -2 (c) -185/98
a
What is the fourth smallest value in -1/4, 0.3, -44/95, -373, -0.5?
-1/4
What is the sixth biggest value in 39.3, 0.3, -0.3, -1/2, -0.06, 4, -793?
-1/2
Which is the third smallest value? (a) 98 (b) 0.1059182 (c) -5
a
What is the third biggest value in 0.33, 1/5, 2/3, -3, 2/5, -42/6607?
0.33
What is the third biggest value in 0.8, -5452, -18?
-5452
Which is the second biggest value? (a) -2/321 (b) 0.5 (c) 3 (d) -11 (e) -0.1
b
Which is the second smallest value? (a) 0.2 (b) -129 (c) 3 (d) -2/7
d
What is the third smallest value in 789.97, 0, 1/2?
789.97
Which is the fourth biggest value? (a) 2 (b) -2/19 (c) -13 (d) 0.47 (e) 5 (f) -2/107
f
Which is the fifth smallest value? (a) 0.29 (b) 4 (c) -3/7 (d) 99.3 (e) 2/7 (f) 1/4
b
Which is the fifth biggest value? (a) -7 (b) 6 (c) -0.05 (d) -2/119 (e) -5 (f) 3
e
Which is the fourth smallest value? (a) 0 (b) 13805 (c) 0.28 (d) 5 (e) 0.2
d
Which is the fourth smallest value? (a) -14.3 (b) -11/4 (c) -0.4 (d) 0.9 (e) -0.07
e
What is the second smallest value in -1, 0.18, 2/7, -2, 0.0371, -1.1, 0?
-1.1
Which is the fourth biggest value? (a) 0 (b) -0.4 (c) 3 (d) 0.06 (e) -1 (f) 0.307
a
Which is the second smallest value? (a) -156.2 (b) 3 (c) 11 (d) -3.2 (e) 1 (f) -0.5 (g) 5/3
d
Which is the third biggest value? (a) -2/7 (b) -0.4 (c) -1/6 (d) 1/4 (e) 12/20299 (f) -1.7
c
What is the fourth smallest value in -1/6, 0.3, -0.037, 5/3, 2/3, 29/5?
2/3
What is the third smallest value in 2, -40.9, -1, 4/7, 0.2?
0.2
Which is the fifth biggest value? (a) -6 (b) 2.7 (c) 0.38 (d) -14 (e) 4 (f) -4
a
What is the fourth smallest value in -1/5, 2, -0.32, 0.2, 7, -2/59?
0.2
Which is the fourth smallest value? (a) 13 (b) -8 (c) -606 (d) -3 (e) 0.2 (f) 2/13
f
What is the sixth smallest value in 2, -12, 1, 1/551, 0, 2/5?
2
What is the fourth smallest value in -0.05, 1, 5, 1/4, 2.458?
2.458
Which is the fourth smallest value? (a) 0.39 (b) -14 (c) 10 (d) 6 (e) 0.1 (f) -4/5
a
Which is the second biggest value? (a) -0.91 (b) -55 (c) -49 (d) 3 (e) 4 (f) 1 (g) 1.4
d
Which is the fifth biggest value? (a) -2/9 (b) -216/14069 (c) 3 (d) 0.5 (e) 1 (f) 4
b
Which is the second biggest value? (a) 2/149 (b) -16 (c) -2/789 (d) -1.4
c
What is the seventh biggest value in 0.1, 416, 4, 7, -0.3, 72, -2?
-2
Which is the second smallest value? (a) -2 (b) 414069.43 (c) -6
a
What is the biggest value in -0.07, 1, -2, -430, 4/9, -3449?
1
Which is the third biggest value? (a) -0.1 (b) -80 (c) 2/15 (d) 75 (e) 1/3 (f) -2/9
c
Which is the third biggest value? (a) -189.4 (b) 3 (c) -1/13 (d) -1/3
d
Which is the second smallest value? (a) 0.3 (b) 10 (c) 5/7 (d) 0.4 (e) 30/7 (f) 0.44
d
Which is the fourth biggest value? (a) -10010 (b) 1 (c) 3 (d) -399
a
What is the second biggest value in -44, -0.5, 8/81, 41?
8/81
Which is the fifth biggest value? (a) -0.3 (b) 200 (c) -763 (d) 1/4 (e) 1/2 (f) 5
a
What is the second biggest value in -3, -0.439, -0.013, -2, 1?
-0.013
Which is the fourth smallest value? (a) -11466 (b) 0.2 (c) 0.1 (d) -2/9 (e) 2/11 (f) -8 (g) -1/2
d
Which is the fourth biggest value? (a) -2/11 (b) -34 (c) -14.3 (d) 0.2 (e) 50
c
What is the smallest value in 387048, 0, 1/28?
0
Which is the fifth smallest value? (a) 5 (b) -5/2 (c) -0.0754 (d) 3 (e) 0.4 (f) 1/3 (g) 2/3
g
Which is the second biggest value? (a) -0.05 (b) -0.2 (c) -7644.67 (d) 0 (e) -1/3
a
What is the second smallest value in 0.2, -19, -5, -273, 4/3, -6?
-19
What is the second smallest value in 1, 8.61, 3/8, 0.8, 5?
0.8
Which is the fourth smallest value? (a) -1.07 (b) -0.2 (c) -2295 (d) -1/2 (e) 2 (f) -3/4
d
What is the third biggest value in 0.07, 0.09, -109123?
-109123
What is the smallest value in -0.2, -6/19063, -20?
-20
What is the third smallest value in 2/13, 805, -1, -0.4, 2, 0.1, 1/85?
1/85
Which is the fourth biggest value? (a) -3/35 (b) 57.71 (c) 0.1 (d) 2/7
a
Which is the second smallest value? (a) -777 (b) 1071 (c) 0.1
c
What is the fourth biggest value in 1/5, -4, -0.1, 3/166, -1.72?
-1.72
What is the second smallest value in 1/183, -7889, -3?
-3
Which is the fourth smallest value? (a) -2/3 (b) 5 (c) -3 (d) 116140
d
What is the fifth biggest value in 0.31, 0.4, -5, -461, -6, -22/5?
-6
What is the third smallest value in -1, -1/4, 0.5, 422.9, -0.5, 167?
-1/4
What is the smallest value in -466, -0.5, -9962, 0?
-9962
What is the fourth smallest value in -28/47, 18, 1, -5, -2, 0.5, 0?
0
What is the third biggest value in -0.56943, 2, 153?
-0.56943
Which is the fourth smallest value? (a) 2/9 (b) -2 (c) 3/5 (d) -6 (e) 5 (f) -886 (g) 4/37
g
What is the second smallest value in 720, 3.2, 117?
117
Which is the biggest value? (a) 3 (b) -85/6 (c) 0.5 (d) -2/3 (e) 2/33 (f) 67
f
What is the smallest value in -568.9, -1/7, 5/7?
-568.9
Which is the third smallest value? (a) -2/77 (b) 0.9 (c) -5/4 (d) -1.72
a
What is the second smallest value in 92608, -66, -5?
-5
Which is the third biggest value? (a) 1/11 (b) -2/19 (c) -0.0819 (d) 6.32 (e) -0.6
c
Which is the biggest value? (a) 1/15 (b) -64 (c) -0.1 (d) 9.1
d
Which is the fourth smallest value? (a) 2/7 (b) 5/21594 (c) -5 (d) 2/3
d
What is the sixth biggest value in -0.08, -0.1, 1/3, 4/11, -8, -0.8?
-8
What is the second biggest v | {
"pile_set_name": "DM Mathematics"
} |
replacement from {o: 3, d: 3, v: 2, s: 2, y: 1, j: 1}. What is prob of sequence oyjv?
1/1980
Two letters picked without replacement from {j: 4, o: 2}. Give prob of sequence jo.
4/15
Two letters picked without replacement from ccyyyycyyyy. Give prob of sequence yy.
28/55
Three letters picked without replacement from {y: 4, j: 1, b: 6, c: 8, v: 1}. What is prob of sequence ccy?
28/855
Calculate prob of sequence xxxr when four letters picked without replacement from xxrrrxrxxrxx.
35/396
What is prob of sequence ynz when three letters picked without replacement from giyggcyzingy?
1/440
Four letters picked without replacement from qqwwqqqw. What is prob of sequence qqwq?
3/28
Calculate prob of sequence oo when two letters picked without replacement from {o: 3, v: 1, t: 1, s: 3, u: 2, x: 1}.
3/55
Two letters picked without replacement from {u: 3, s: 5, w: 1, o: 1, y: 3, f: 6}. Give prob of sequence us.
5/114
Calculate prob of sequence unhn when four letters picked without replacement from {n: 2, u: 2, h: 1}.
1/30
Calculate prob of sequence iv when two letters picked without replacement from vljivjlhlvhl.
1/44
What is prob of sequence ddee when four letters picked without replacement from eeeeeerddddr?
1/33
Calculate prob of sequence dpd when three letters picked without replacement from {d: 7, p: 6}.
21/143
Two letters picked without replacement from aaa. Give prob of sequence aa.
1
Three letters picked without replacement from {z: 2, d: 1, l: 4}. What is prob of sequence dlz?
4/105
Calculate prob of sequence yuy when three letters picked without replacement from yyaauaauy.
1/42
Calculate prob of sequence ouwj when four letters picked without replacement from {j: 1, o: 3, u: 5, w: 1, k: 3}.
1/1144
Three letters picked without replacement from {c: 9, b: 3}. Give prob of sequence bbb.
1/220
Four letters picked without replacement from jxxxjxxjjjjxxjxjjxjx. Give prob of sequence xxxx.
14/323
Two letters picked without replacement from ryyyagygrayry. What is prob of sequence aa?
1/78
Two letters picked without replacement from {u: 1, h: 5, r: 3, t: 1}. Give prob of sequence ur.
1/30
Two letters picked without replacement from wwlwllwwlwlw. Give prob of sequence lw.
35/132
Four letters picked without replacement from {x: 3, r: 4, l: 4}. Give prob of sequence xxrx.
1/330
What is prob of sequence gg when two letters picked without replacement from xjgyxyygjyg?
3/55
Two letters picked without replacement from {t: 6, k: 2}. What is prob of sequence tt?
15/28
Two letters picked without replacement from {h: 6, k: 2}. What is prob of sequence hk?
3/14
Four letters picked without replacement from {v: 14, a: 4}. Give prob of sequence aaaa.
1/3060
What is prob of sequence ccc when three letters picked without replacement from cccccccccc?
1
Four letters picked without replacement from {h: 7, z: 3, p: 5, q: 3, b: 2}. What is prob of sequence qzqb?
1/3230
Four letters picked without replacement from {b: 1, z: 1, a: 2, h: 1, q: 2}. What is prob of sequence qqhz?
1/420
Calculate prob of sequence kk when two letters picked without replacement from {x: 7, k: 9}.
3/10
What is prob of sequence ky when two letters picked without replacement from {y: 2, k: 1, u: 2}?
1/10
What is prob of sequence dq when two letters picked without replacement from dquhqsx?
1/21
Calculate prob of sequence ghhg when four letters picked without replacement from {h: 5, g: 13}.
13/306
Two letters picked without replacement from {a: 2, r: 2, v: 1}. What is prob of sequence vr?
1/10
Two letters picked without replacement from {s: 1, w: 1, q: 1}. Give prob of sequence ws.
1/6
Four letters picked without replacement from rsrssrrrrrrrrrrrrr. Give prob of sequence sssr.
1/816
Two letters picked without replacement from {u: 3, m: 5}. Give prob of sequence mu.
15/56
Two letters picked without replacement from tffmmmtttmttfyftfttm. What is prob of sequence tt?
18/95
What is prob of sequence hf when two letters picked without replacement from {n: 1, t: 2, h: 1, f: 1}?
1/20
Two letters picked without replacement from ytjttyjtty. What is prob of sequence yy?
1/15
Calculate prob of sequence oyou when four letters picked without replacement from {v: 2, y: 2, u: 6, o: 2}.
1/495
What is prob of sequence tqvv when four letters picked without replacement from {t: 3, q: 3, v: 7}?
63/2860
What is prob of sequence jj when two letters picked without replacement from {j: 4, m: 6}?
2/15
Calculate prob of sequence jjd when three letters picked without replacement from {p: 1, d: 3, j: 12}.
33/280
Three letters picked without replacement from yyk. What is prob of sequence yyk?
1/3
Four letters picked without replacement from {y: 4, o: 2}. What is prob of sequence oyyy?
2/15
Four letters picked without replacement from {m: 4, g: 7, y: 4}. Give prob of sequence mmmm.
1/1365
Calculate prob of sequence pi when two letters picked without replacement from piiprrprp.
1/9
What is prob of sequence nnxw when four letters picked without replacement from {n: 2, p: 2, x: 1, w: 4, e: 5}?
1/3003
Three letters picked without replacement from mmsssmmm. Give prob of sequence mms.
5/28
Four letters picked without replacement from {h: 3, t: 6, x: 3, k: 1, f: 1, a: 1}. What is prob of sequence xfha?
1/3640
Two letters picked without replacement from {g: 9, e: 1, w: 9}. What is prob of sequence we?
1/38
Four letters picked without replacement from {y: 1, l: 3, a: 3, p: 4}. Give prob of sequence appy.
1/220
What is prob of sequence jsjs when four letters picked without replacement from sjsjs?
1/10
Calculate prob of sequence bc when two letters picked without replacement from {u: 1, p: 1, e: 2, b: 2, v: 1, c: 8}.
8/105
Calculate prob of sequence kvv when three letters picked without replacement from {k: 1, v: 2}.
1/3
Three letters picked without replacement from {g: 1, f: 1, r: 1, t: 2}. What is prob of sequence ttg?
1/30
What is prob of sequence ggi when three letters picked without replacement from {i: 6, g: 7, a: 6}?
14/323
Calculate prob of sequence nzu when three letters picked without replacement from keknszu.
1/210
What is prob of sequence njn when three letters picked without replacement from {j: 2, n: 6}?
5/28
Calculate prob of sequence ll when two letters picked without replacement from {l: 3, m: 7}.
1/15
What is prob of sequence ui when two letters picked without replacement from {f: 2, u: 5, p: 3, i: 7}?
35/272
Calculate prob of sequence mrr when three letters picked without replacement from {q: 3, p: 6, r: 2, m: 1, l: 3}.
1/1365
Two letters picked without replacement from nnnnnnnvnnnnnnn. Give prob of sequence vn.
1/15
Calculate prob of sequence ii when two letters picked without replacement from xxixixxiixix.
5/33
Two letters picked without replacement from {d: 10, j: 4, c: 1, f: 5}. What is prob of sequence df?
5/38
Three letters picked without replacement from {n: 3, c: 1, g: 1}. Give prob of sequence ccn.
0
Calculate prob of sequence ka when two letters picked without replacement from {a: 4, o: 2, c: 5, k: 2, s: 1}.
4/91
Two letters picked without replacement from bdbbwtwbtytbbbwbw. Give prob of sequence dy.
1/272
What is prob of sequence www when three letters picked without replacement from wwwwwwwgwwwwwwwwww?
5/6
Three letters picked without replacement from {s: 1, q: 3, y: 1, l: 1, a: 1}. Give prob of sequence asy.
1/210
What is prob of sequence ccxc when four letters picked without replacement from {c: 7, s: 1, x: 6}?
15/286
Calculate prob of sequence iq when two letters picked without replacement from qzqzzqiiqizizz.
8/91
What is prob of sequence yyj when three letters picked without replacement from yjyjyyyyyyyyy?
5/39
Two letters picked without replacement from {r: 4, e: 2}. What is prob of sequence re?
4/15
What is prob of sequence tt when two letters picked without replacement from tttttttttt?
1
Two letters picked without replacement from {g: 5, n: 3, f: 1, l: 1}. What is prob of sequence nl?
1/30
Two letters picked without replacement from {u: 16, v: 1, j: 3}. Give prob of sequence uu.
12/19
Three letters picked without replacement from {h: 2, o: 3, p: 3}. What is prob of sequence ohh?
1/56
Four letters picked without replacement from hhah. Give prob of sequence hahh.
1/4
Three letters picked without replacement f | {
"pile_set_name": "DM Mathematics"
} |
0.
-3, 1
Suppose 3*p**3/2 - 9*p**2/2 + 3*p = 0. What is p?
0, 1, 2
Find r such that 4*r**3/3 + 104*r**2/3 + 556*r/3 + 152 = 0.
-19, -6, -1
Factor -2*g**2 + 32*g - 78.
-2*(g - 13)*(g - 3)
Let -5*u**3/3 - 35*u**2/3 - 80*u/3 - 20 = 0. Calculate u.
-3, -2
Factor -2*n**2 + 10*n - 12.
-2*(n - 3)*(n - 2)
Solve 5*w**5/3 + 49*w**4 - 797*w**3/3 - 487*w**2/3 + 264*w + 340/3 = 0.
-34, -1, -2/5, 1, 5
Factor 2*p**2/7 - 118*p/7.
2*p*(p - 59)/7
Determine s so that -2*s**2/11 - 318*s/11 + 1640/11 = 0.
-164, 5
Suppose -f**2 + 25*f - 46 = 0. Calculate f.
2, 23
Let 6*q**2/5 - 42*q/5 = 0. Calculate q.
0, 7
Determine p so that -3*p**5 - 21*p**4 + 27*p**3 + 21*p**2 - 24*p = 0.
-8, -1, 0, 1
Suppose 5*v**5/2 + 17*v**4/2 + v**3/2 - 17*v**2/2 - 3*v = 0. Calculate v.
-3, -1, -2/5, 0, 1
Determine r so that -r**3/5 - 89*r**2/5 + 182*r/5 = 0.
-91, 0, 2
What is c in 3*c**2 + 48*c + 84 = 0?
-14, -2
Suppose 2*j**5 + 8*j**4 + 8*j**3 - 4*j**2 - 10*j - 4 = 0. Calculate j.
-2, -1, 1
Let -2*r**4 + 348*r**3 - 14424*r**2 - 62300*r - 47526 = 0. What is r?
-3, -1, 89
Suppose a**4 + 48*a**3 + 366*a**2 + 592*a + 273 = 0. What is a?
-39, -7, -1
Factor g**3 + 216*g**2 + 11877*g + 22898.
(g + 2)*(g + 107)**2
Factor u**3 + 47*u**2 + 560*u + 1984.
(u + 8)**2*(u + 31)
Factor -d**2/2 + 38*d.
-d*(d - 76)/2
Suppose -z**4/4 + z**3 - 5*z**2/4 + z/2 = 0. What is z?
0, 1, 2
Suppose -35*m**4/9 - 269*m**3/9 - 172*m**2/9 - 28*m/9 = 0. Calculate m.
-7, -2/5, -2/7, 0
Find i such that i**4/3 + 262*i**3/3 + 16625*i**2/3 - 70756*i/3 = 0.
-133, 0, 4
Factor -18*k**3 + 86*k**2 + 258*k + 154.
-2*(k - 7)*(k + 1)*(9*k + 11)
What is v in 2*v**2 + 1090*v - 1092 = 0?
-546, 1
Factor 128*f**2/17 - 16416*f/17 + 526338/17.
2*(8*f - 513)**2/17
Determine h so that h**5/4 - 31*h**4/4 - 175*h**3/4 - 185*h**2/4 + 87*h/2 + 54 = 0.
-3, -2, -1, 1, 36
Solve -2*h**5/5 + 2*h**4/5 + 6*h**3 + 46*h**2/5 + 4*h = 0.
-2, -1, 0, 5
Find f, given that 2*f**2/13 + 56*f/13 - 120/13 = 0.
-30, 2
Suppose -q**2 + 45*q - 266 = 0. What is q?
7, 38
Solve 5*n**5 + 235*n**4 - 3280*n**3 + 14860*n**2 - 28000*n + 18880 = 0.
-59, 2, 4
Factor -2*a**5/15 + 2*a**3/5 + 4*a**2/15.
-2*a**2*(a - 2)*(a + 1)**2/15
Let -5*i**5/3 - 19*i**4 + 38*i**3/3 + 8*i**2 = 0. What is i?
-12, -2/5, 0, 1
Factor -5*w**3 - 10*w**2 + 75*w.
-5*w*(w - 3)*(w + 5)
Solve h**3/4 + 3*h**2/2 - 9*h/4 - 27/2 = 0.
-6, -3, 3
Factor 2*l**2 + 420*l + 7600.
2*(l + 20)*(l + 190)
Solve -5*c**2 + 445*c - 3240 = 0.
8, 81
Factor d**4/2 - 37*d**3/2 - d**2/2 + 37*d/2.
d*(d - 37)*(d - 1)*(d + 1)/2
Find d such that 3*d**3 - 15*d**2 - 3*d + 15 = 0.
-1, 1, 5
Find i, given that -i**2/9 + 527*i/9 + 176/3 = 0.
-1, 528
Factor 5*o**2 - 11100*o + 6160500.
5*(o - 1110)**2
Factor -b**3 + 159*b**2 - 6240*b - 6400.
-(b - 80)**2*(b + 1)
Factor 3*a**3/5 + 321*a**2/5 + 1617*a - 5445.
3*(a - 3)*(a + 55)**2/5
Let -35*s**5 - 215*s**4 - 515*s**3 - 605*s**2 - 350*s - 80 = 0. What is s?
-2, -8/7, -1
Find a such that -a**2/3 - 244*a/3 = 0.
-244, 0
Factor -4*n**4 - 436*n**3 + 4*n**2 + 436*n.
-4*n*(n - 1)*(n + 1)*(n + 109)
Let j**5 + 4*j**4 - 12*j**3 = 0. What is j?
-6, 0, 2
Factor 2*k**2 - 746*k - 748.
2*(k - 374)*(k + 1)
What is k in 4*k**2 - 1056*k + 69696 = 0?
132
Suppose -2*j**3/3 - 808*j**2/3 - 27470*j - 53868 = 0. What is j?
-201, -2
Find i such that -3*i**4 - 21*i**3 - 12*i**2 + 36*i = 0.
-6, -2, 0, 1
Find v such that v**2/3 - 13*v - 40/3 = 0.
-1, 40
Find i, given that 2*i**5 - 6*i**4 - 34*i**3 + 78*i**2 - 40*i = 0.
-4, 0, 1, 5
Solve -2*y**2/7 - 666*y/7 - 664/7 = 0 for y.
-332, -1
Factor -27*a**5 - 60*a**4 - 39*a**3 - 6*a**2.
-3*a**2*(a + 1)**2*(9*a + 2)
Find d such that d**3 - d**2 - 489*d + 1449 = 0.
-23, 3, 21
Factor 2*o**2/13 - 2*o/13 - 24/13.
2*(o - 4)*(o + 3)/13
What is u in 8*u**5/5 - 32*u**4/5 - 6*u**3/5 + 122*u**2/5 - 104*u/5 + 24/5 = 0?
-2, 1/2, 2, 3
Suppose -6*o**3 - 1054*o**2 + 356*o + 704 = 0. What is o?
-176, -2/3, 1
Find i such that -i**3/2 + 21*i**2/2 - 99*i/2 - 121/2 = 0.
-1, 11
Factor m**2/5 - 118*m/5 - 119/5.
(m - 119)*(m + 1)/5
Let 289*v**4/2 + 1462*v**3 - 10667*v**2 - 1270*v - 75/2 = 0. What is v?
-15, -1/17, 5
Find d, given that -3*d**5 - 12*d**4 + 12*d**3 + 66*d**2 - 9*d - 54 = 0.
-3, -1, 1, 2
Factor -3*q**4/4 - 3*q**3 + 57*q**2/4 - 21*q/2.
-3*q*(q - 2)*(q - 1)*(q + 7)/4
Factor -2*q**4/3 - 48*q**3 - 2288*q**2/3 + 3648*q - 11552/3.
-2*(q - 2)**2*(q + 38)**2/3
Let -4*c**2/5 - 244*c + 3696/5 = 0. What is c?
-308, 3
Factor 3*o**5 - 84*o**4 + 495*o**3 - 1194*o**2 + 1284*o - 504.
3*(o - 21)*(o - 2)**3*(o - 1)
Suppose 2*d**2/7 + 4*d - 144/7 = 0. What is d?
-18, 4
Suppose -2*f**4/5 + 32*f**3/5 - 76*f**2/5 - 32*f/5 + 78/5 = 0. What is f?
-1, 1, 3, 13
Solve -2*b**4/5 + 64*b**3 - 2560*b**2 = 0 for b.
0, 80
Determine v, given that 3*v**2 + 8580*v - 8583 = 0.
-2861, 1
Factor -3*w**2 + 66*w - 363.
-3*(w - 11)**2
Find a, given that a**4/4 + 303*a**3/4 - 76*a**2 = 0.
-304, 0, 1
Factor 4*d**2 + 4156*d + 4152.
4*(d + 1)*(d + 1038)
Find i, given that 4*i**4 + 104*i**3 + 188*i**2 - 104*i - 192 = 0.
-24, -2, -1, 1
Solve -3*c**4 + 60*c**3 + 705*c**2 - 870*c - 1512 = 0.
-9, -1, 2, 28
Factor 2*t**5 + 816*t**4 + 84044*t**3 + 165648*t**2 + 82418*t.
2*t*(t + 1)**2*(t + 203)**2
Solve 2*v**4/5 + 22*v**3/5 + 36*v**2/5 - 112*v/5 - 128/5 = 0.
-8, -4, -1, 2
Factor u**2 + 17*u + 60.
(u + 5)*(u + 12)
Solve -4*v**4 + 164*v**3 + 532*v**2 - 164*v - 528 = 0 for v.
-3, -1, 1, 44
Find z, given that 2*z**2 + 16*z = 0.
-8, 0
Determine l, given that -5*l**4/2 + 50*l**3 + 12240*l**2 + 362880*l + 3179520 = 0.
-24, 92
Factor -c**4 - 19*c**3 - 115*c**2 - 225*c.
-c*(c + 5)**2*(c + 9)
Find v, given that 3*v**3 + 828*v**2 - 1665*v + 834 = 0.
-278, 1
Factor 3*s**4/4 + 309*s**3/2 + 10557*s**2 + 471339*s/2 - 985527/4.
3*(s - 1)*(s + 69)**3/4
Solve -5*y**4/6 + 5*y**2/2 + 5*y/3 = 0.
-1, 0, 2
Suppose -r**2 + 40*r - 400 = 0. What is r?
20
What is r in -12*r**4 - 1221*r**3 + 2802*r**2 - 624*r = 0?
-104, 0, 1/4, 2
Factor 3*p**2 - 87*p + 234.
3*(p - 26)*(p - 3)
Find s such that -4*s**2 - 264*s = 0.
-66, 0
Factor y**3/4 + 49*y**2/4 - 77*y/2 + 26.
(y - 2)*(y - 1)*(y + 52)/4
Factor -j**2/7 - 2*j/7 - 1/7.
-(j + 1)**2/7
What is x in -5*x**3 + 3315*x**2 = 0?
0, 663
Solve -4*h**3 + 408*h**2 + 828*h + 416 = 0 for h.
-1, 104
Factor -z**4 - 16*z**3 - 90*z**2 - 216*z - 189.
-(z + 3)**3*(z + 7)
Let -p**5/4 - p**4/2 + 3*p**3/4 + 2*p**2 + p = 0. Calculate p.
-2, -1, 0, 2
Factor 5*m**4 - 940*m**3 + 4615*m**2 - 7340*m + 3660.
5*(m - 183)*(m - 2)**2*(m - 1)
Let 2*k**5 - 856*k**4 + 90732*k**3 + 184040*k**2 + 92450*k = 0. What is k?
-1, 0, 215
Let -2*s**2/9 - 6508*s/9 - 5294258/9 = 0. Calculate s.
-1627
Factor 5*k**2 + 175*k + 170.
5*(k + 1)*(k + 34)
Find q, given that -2*q**5/3 - 22*q**4/3 - 28*q**3 - 136*q**2/3 - 80*q/3 = 0.
-5, -2, 0
Factor -b**4/3 - 3*b**3 + 5*b**2 + 161*b/3 - 98.
-(b - 3)*(b - 2)*(b + 7)**2/3
Find v such that -4*v**5/3 - 92*v**4/3 - 80*v**3 + 16*v**2/3 + 320*v/3 = 0.
-20, -2, 0, 1
Solve 529*n**3/5 - 2691*n**2/5 + 231*n/5 - 1 = 0 for n.
1/23, 5
Factor -2323*x**3 + 9290*x**2 - 9284*x - 8.
-(x - 2)**2*(2323*x + 2)
Determine r so that -3*r**3/5 - 21*r**2/5 + 3*r + 45 = 0.
-5, 3
What is s in 4*s**5 + 32*s**4 + 16*s**3 - 88*s**2 - 20*s + 56 = 0?
-7, -2, -1, 1
Factor -2*j**2/3 - 14*j/3 - 4.
-2*(j + 1)*(j + 6)/3
Factor 3*s**2 - 2882*s + 1920.
(s - 960)*(3*s - 2)
Let 6*v**4/7 + 86*v**3/7 + 82*v**2/7 - 1926*v/7 - 648/7 = 0. What is v?
-9, -1/3, 4
Find m, given that -3*m**3 - 12*m**2 - 9*m = 0.
-3, -1, 0
Factor 2657205*i**3 - 196830*i**2 + 4860*i - 40.
5*(81*i - 2)**3
Factor -l**2 + 62*l.
-l*(l - 62)
Suppose -3*v**3 - 45*v**2 - 216*v - 324 = 0. What is v?
-6, -3
Factor 4*a**5 - 212*a**4 + 4032*a**3 - 31744*a**2 + 81920*a.
4*a*(a - 16)**3*(a - 5)
Let -54*i**2 - 1887*i + 105 = 0. What is i?
-35, 1/18
Find u, given that 51*u**5 - 57*u**4 - 912*u**3 + 2760*u**2 - 2352*u + 240 = 0.
-5, 2/17, 2
Determine t, given that 2*t**5/11 + 6*t**4/11 + 4*t**3/11 - 4*t**2/11 - 6*t/11 - 2/11 = 0.
-1, 1
Find y such that 8*y**5 + 14*y**4 - 9*y**3 - 11*y**2 - 2*y = 0.
-2, -1/2, -1/4, 0, 1
Suppose -t**3/3 + 5*t**2/3 + t/3 - 5/3 = 0. Calculate t.
-1, 1, 5
Factor m**3 + 12*m**2 - 31*m - 42.
(m - 3)*(m + 1)*(m + 14)
Find t, given that -5*t**3 + 15*t**2 + 5*t - 15 = 0.
-1, 1, 3
Factor -2*x**4 + 26*x**3 - 22*x**2 - 26*x + 24.
-2*(x - 12)*(x - 1)**2*(x + 1)
Suppose -2*v**5 + 88*v**4 + 288* | {
"pile_set_name": "DM Mathematics"
} |
-100111001001011101 (base 2) to base 14.
-42617
What is -144380 (base 9) in base 8?
-254714
What is 78c0 (base 16) in base 5?
1442122
What is -50070 (base 13) in base 5?
-14033041
Convert -3854549 (base 11) to base 6.
-355120250
213368 (base 9) to base 5
13032101
250345313 (base 6) to base 10
4788621
What is 471148 (base 9) in base 13?
9ba56
Convert -12440223 (base 5) to base 10.
-124438
What is -9e70 (base 16) in base 14?
-10ad2
Convert 1b2a5 (base 15) to base 11.
60423
Convert 27405 (base 14) to base 6.
2024141
Convert -21167713 (base 8) to base 4.
-101032333023
What is -7b04 (base 14) in base 8?
-51570
Convert -5431114 (base 9) to base 11.
-1710297
Convert 5050 (base 11) to base 12.
3a72
Convert -313302332323 (base 4) to base 14.
-1d2a639
-13a3718 (base 15) to base 3
-222200202112012
What is -430a98 (base 11) in base 13?
-1b1a72
Convert -8618862 (base 9) to base 2.
-10001100111101010100111
What is 243602 (base 9) in base 8?
437111
-1001000100100111011 (base 2) to base 12
-12404b
Convert 130140344 (base 5) to base 9.
1161164
What is -4260 (base 11) in base 9?
-7647
What is -30a190 (base 12) in base 15?
-1015a3
What is 100046 (base 10) in base 13?
366cb
Convert -190416 (base 10) to base 3.
-100200012110
-10101011111101100000 (base 2) to base 16
-abf60
What is -2461400 (base 10) in base 12?
-9a8508
Convert -4130215 (base 6) to base 4.
-300123203
What is -1532035 (base 8) in base 6?
-13225525
2937363 (base 11) to base 4
103033333231
What is -845129 (base 10) in base 8?
-3162511
Convert -11011000111000101111 (base 2) to base 14.
-191a6b
Convert -26574 (base 11) to base 4.
-21101002
Convert 10001122100000 (base 3) to base 13.
44c514
What is 103320222203 (base 4) in base 14?
999a15
-54054442 (base 6) to base 10
-1593818
Convert -59a86 (base 15) to base 3.
-112112011000
What is -322002 (base 11) in base 4?
-1331300123
-1630905 (base 11) to base 16
-2a76a4
-1100100000101101011 (base 2) to base 15
-8170d
Convert -4393a (base 11) to base 10.
-63689
What is 211144 (base 9) in base 16?
1ea45
51bb1a (base 14) to base 6
135053152
Convert -13323242 (base 5) to base 12.
-668b4
What is -405241 (base 6) in base 15?
-9871
Convert -79a4b (base 13) to base 15.
-45938
Convert 3428a6 (base 16) to base 7.
41024553
Convert 10010000011010110 (base 2) to base 4.
102003112
3332121113 (base 4) to base 2
11111110011001010111
Convert 362245 (base 7) to base 11.
45357
Convert -233210025 (base 6) to base 16.
-427721
64115 (base 9) to base 4
22112021
What is -829685 (base 10) in base 12?
-340185
What is -211248 (base 10) in base 5?
-23224443
What is 29734 (base 14) in base 6?
2112334
What is 152182 (base 9) in base 15?
1ca62
What is -28574 (base 9) in base 7?
-110431
What is -130312 (base 6) in base 4?
-2320010
Convert 22010110002 (base 3) to base 13.
57a7c
What is -12accb (base 15) in base 2?
-11011011000011110010
1362999 (base 11) to base 5
1100041134
Convert -33100310231 (base 4) to base 16.
-3d0d2d
130291 (base 11) to base 13
725b7
Convert 3111131010 (base 4) to base 14.
18a8a8
Convert 34240243 (base 5) to base 13.
a91b3
Convert -8b4c8 (base 13) to base 14.
-6854b
What is 100101000010111110000010 (base 2) in base 6?
544052334
What is 347023 (base 15) in base 12?
a092a3
Convert 14c40 (base 15) to base 5.
4120020
Convert 222211220 (base 3) to base 5.
1111242
79722c (base 14) to base 15
568b37
What is 7669887 (base 10) in base 14?
1039211
12300010322 (base 4) to base 3
10022220200122
Convert 269931 (base 10) to base 2.
1000001111001101011
What is 3428b (base 13) in base 16?
172cc
What is 151413210 (base 6) in base 12?
1084206
Convert -4c4b97 (base 14) to base 2.
-1010000001000000010001
What is -33262e (base 15) in base 14?
-476772
-23434220 (base 5) to base 15
-44925
What is 1010110101001010010000 (base 2) in base 5?
1211323214
What is -2211002222 (base 4) in base 8?
-2450252
What is 134422023 (base 5) in base 15?
dccc8
Convert 1310340003 (base 5) to base 16.
310e9b
What is 143265 (base 8) in base 7?
301210
What is 112010011121 (base 3) in base 6?
5542241
What is 28073a3 (base 11) in base 3?
100002222001021
451503 (base 8) to base 3
21202000222
What is -1230252 (base 6) in base 9?
-110725
11ca5 (base 15) to base 8
157027
Convert -101110110000011000 (base 2) to base 3.
-100201201001
Convert 11112111122 (base 3) to base 15.
1b6db
What is -23a85b5 (base 13) in base 10?
-11071676
Convert -316576 (base 14) to base 9.
-3124028
Convert 34341321 (base 5) to base 16.
4b6e1
Convert -10957 (base 14) to base 13.
-15429
1042231 (base 5) to base 8
44011
What is 1106214 (base 10) in base 5?
240344324
-124044041 (base 5) to base 14
-11d268
6e7bb (base 16) to base 4
1232132323
Convert -58570 (base 11) to base 4.
-110220313
-27602251 (base 8) to base 9
-12640884
200112111022 (base 3) to base 11
22a140
32440134 (base 5) to base 4
1010201131
Convert 23112365 (base 7) to base 13.
55964c
What is 1080448 (base 9) in base 6?
20305025
Convert 2301034402 (base 5) to base 4.
103130030203
Convert -39b782 (base 12) to base 11.
-5a11a7
-102200022321 (base 4) to base 7
-56140665
-16372369 (base 10) to base 4
-332131022101
Convert -42506 (base 14) to base 2.
-100111000110001010
Convert 11011111010101101100000 (base 2) to base 5.
3333141433
Convert -245a7 (base 15) to base 4.
-130111000
What is -210012323321 (base 4) in base 14?
-13857bb
What is -2705662 (base 8) in base 11?
-477541
-118263 (base 9) to base 2
-10001011111101101
What is -15d38 (base 14) in base 15?
-1133e
Convert 361f8 (base 16) to base 14.
5ab0c
Convert -143c98 (base 15) to base 14.
-1b5399
What is -1686851 (base 9) in base 13?
-27047b
14775757 (base 8) to base 14
6497b1
Convert 1067289 (base 13) to base 5.
2240422010
-2110332110 (base 4) to base 6
-21024552
4253b3 (base 13) to base 4
11323120030
4d65 (base 14) to base 7
54455
What is 3773029 (base 10) in base 15?
4e7e04
43003424 (base 5) to base 14
95208
-111100101101101101 (base 2) to base 9
-418116
-e717a (base 15) to base 2
-10110010111000101011
-221100301 (base 4) to base 12
-81981
Convert 1b085 (base 13) to base 3.
2200110221
Convert 10000101001101010 (base 2) to base 5.
4140302
Convert -102636 (base 8) to base 12.
-17966
What is e9e2 (base 15) in base 2?
1100000101001111
64682 (base 13) to base 9
305585
Convert -31ee0 (base 16) to base 5.
-23021022
What is 6896a (base 12) in base 3?
21002112001
Convert -18617185 (base 9) to base 10.
-9400613
Convert 216525666 (base 7) to base 4.
302022123231
-2212011012122 (base 3) to base 8
-5626103
Convert -10300502 (base 6) to base 11.
-197a90
-155588 (base 9) to base 11
-66129
7677018 (base 9) to base 14
795616
What is -719431 (base 13) in base 9?
-4875454
Convert -54288 (base 13) to base 7.
-1202163
30441035 (base 7) to base 11
149024a
What is 184137 (base 13) in base 11?
386430
Convert -31c23 (base 13) to base 11.
-61631
-2222000000020 (base 3) to base 11
-986067
Convert 497d2 (base 14) to base 4.
223323030
Convert -1224001 (base 5) to base 8.
-56112
What is 12001222120210 (base 3) in base 14?
502868
Convert -20da3d (base 14) to base 2.
-100001111110011110111
Convert e1dae (base 15) to base 10.
715214
What is 22101221002 (base 3) in base 2?
101000011000110111
Convert 114056612 (base 7) to base 10.
7073306
What is 22202101 (base 4) in base 14?
11a25
-29bc86 (base 13) to base 10
-1025940
What is -dc9d5 (base 15) in base 8?
-2530662
Convert -1330000 (base 8) to base 7.
-3111460
Convert 2ae43 (base 16) to base 3.
22220222210
-1110101010101101001000 (base 2) to base 14
-721304
130323311 (base 4) to base 2
11100111011110101
What is -55425312 (base 6) in base 12?
-685238
-100102330 (base 4) to base 2
-10000010010111100
-2683c5 (base 16) to base 13
-6a4b68
Convert -56139 (base 11) to base 16.
-13dca
2212120001 (base 4) to base 6
22334545
Convert 4b399 (base 16) to base 10.
308121
-543289 (base 11) to base 13
-2451cb
-5748368 (base 9) to base 15
-4145be
-330120101 (base 4) to base 7
-2050013
Convert 5aa29 (base 16) to base 12.
15aa09
-2b2500 (base 14) to base 10
-1504692
Convert -489916 (base 11) to base 12.
-3141a9
Convert 10faa6 (base 16) to base 9.
2075350
What is -523b9 (base 13) in base 5?
-14212413
Convert -1577443 (base 8) to base 14.
-bd163
-14647c9 (base 14) to base 4
-211312310031
What is -104534135 (base 6) in base 5?
-442104211
Conver | {
"pile_set_name": "DM Mathematics"
} |
-5*y, 4*t - 39 = 2*y + y. Let x(u) = u + 8 + 8*u**2 - 4 - u**3 + 8*u**2 + 0. Calculate the lowest common multiple of t and x(16).
60
Let k be (-765)/(-256) - (-9 - -12). Let m = -3791/1280 - k. What is the common denominator of 5/18 and m?
180
Let d(p) = -8*p - 22. What is the lowest common multiple of d(-4) and 8?
40
Let r be (6/47220)/((-5)/(-2)). Let i = -1987211/708300 + r. What is the common denominator of -21/2 and i?
36
Suppose 2*f + 1 = 7. Let z be f/(4*(-3)/(-12)). Suppose -3*k - 2*p + 46 = -k, 85 = z*k - p. Find the common denominator of -77/16 and k.
16
Let n = 58 - 56. Let h(r) = -r**2 + 4*r + 7. Let d be h(5). What is the smallest common multiple of 1 + (0 - d) - -12 and n?
22
Let r(y) = -69*y + 36. Let z be r(4). Let l = 118583/5 - 1291148/55. Let i = z + l. Find the common denominator of i and 35.
11
Let d = -971317/78 - -12452. What is the common denominator of -25/2 and d?
78
Let q(z) = z**3 + 6*z**2 + z - 8. Let l be q(-6). Let x be ((-20642)/(-7))/(6/l). Let b = x + 123739/18. Find the common denominator of 93/4 and b.
36
What is the smallest common multiple of 5 and (26 - 54)*(-2)/4?
70
Let p be (8/(-6))/((-4)/6). What is the least common multiple of p - 0 - (-1 - -1) and 5/(-50)*4*-10?
4
Suppose -10*n - 9815 = -9975. Let g(v) = 7*v. Let u be g(6). Suppose -3*i + 2*y + u = 0, y + 1 + 2 = 0. What is the lowest common multiple of n and i?
48
Let v(t) = -t**2 + 8*t + 13. Let m be 5/((-40)/6)*-8. Suppose -4*d = 3*r - 54, m*d = 3*d. What is the smallest common multiple of r and v(9)?
36
Let y = -778 - -781. Calculate the least common multiple of 3/(1 + 2/(-3)) and y.
9
Let l = 9442/615 - 4/205. Calculate the common denominator of l and (-6)/9 - (-291)/252.
84
Let k(d) = -4*d + 2. Let c be k(-2). Let a = 46223/540 + -2164/27. What is the common denominator of (-1 - 57/c) + -1 and a?
20
Let y = 108739/35504 + -1/4438. Find the common denominator of y and 63/2.
16
What is the least common multiple of ((-8)/(-5))/(6/30) and 16?
16
Let j = -34 - -35. What is the common denominator of -7/16 and j*3 + (-1071)/72?
16
What is the lowest common multiple of 8 and (-8)/(-100) - 1996/(-50)?
40
Suppose -6 = -3*k + 2*k. Let z(w) = 3*w + 5. What is the least common multiple of z(2) and k?
66
Suppose 2*l - 42 = 46. What is the lowest common multiple of 52/2 - (9 + 25/(-5)) and l?
44
Suppose 0 = 6*k - 7673 - 3811. Let r = -15223/8 + k. What is the common denominator of -107/10 and r?
40
Suppose 0 = -6*c + 2*c + 8. Suppose -z - 14 = -5*l, c*z + 11 = 3*l - 3. Calculate the smallest common multiple of 10 and 4/(2 - (-6)/z).
40
Let r(a) = 87*a + 36. Let d be r(-8). Calculate the smallest common multiple of 18 and 2/4*d/(-10).
198
Find the common denominator of 31/24 and -3 + 1378*(-4)/(-960) + -3.
120
What is the common denominator of (-38)/(-133)*111/6 and 7/50?
350
Let r = 15 - 8. What is the least common multiple of r and (152/18 - 1) + 20/(-45)?
7
Let v(j) = -j**2 - j - 2. Let h(f) = -2*f**2 - 11*f + 4. Let t(r) = -h(r) + 3*v(r). Let a = 4 - 0. Calculate the least common multiple of t(a) and 8.
24
Let r = -493/36 + 145/9. Find the common denominator of r and 13/15.
60
Let a(s) = s**2 + 4*s + 5. Calculate the lowest common multiple of a(-3) and 32.
32
What is the lowest common multiple of 6 + 0/(-1) - 2 and (-2)/14 - 114/(-14)?
8
Suppose -5*l = 10*l - 390. What is the smallest common multiple of 7 and l?
182
Suppose 42 = -43*s + 45*s. What is the common denominator of ((-35)/s)/((-2)/54) and 4/(-6) - 82/(-12)?
6
Let z(b) = -4*b + 6. Let l = -5 + 3. Let m be z(l). Suppose 5*x - 36 = m. What is the lowest common multiple of x and 8?
40
Let v be (-15329)/(-84) - ((-10)/6 - -2). Let u = v + -1306/7. What is the common denominator of -48/11 and u?
132
Suppose 2*r - 3 - 7 = 0. What is the common denominator of (159/(-12))/(r + -3) and -19/22?
88
What is the common denominator of 222*(-10)/200 + 9 and -49/178?
890
Let h = 246 - 226. Calculate the least common multiple of h and 20.
20
Find the common denominator of 379/440 - 24/(-64) and -49/40.
440
Let z = -414 + 801/2. Let g = 69 - 258. Calculate the common denominator of z and 2 + 1 + g/6.
2
Suppose 0 = -2*i + 5*i - 6. Suppose -2 = m + i*r, 4*r = 5*m - 0*r + 38. Let l = m - -13. Calculate the smallest common multiple of 10 and l.
70
Suppose 0 = 4*u - 8*u - 240. Find the common denominator of (-60)/(-9)*(-60)/32 and (0 - -2)*171/u.
10
Let h = 2537616 - 25405087/10. Let u = h + 2900. What is the common denominator of 4/41 and u?
410
Let s(w) = -56*w - 57. What is the smallest common multiple of 10 and s(-7)?
670
Suppose 0*v = -2*v. Suppose v*k = k - 4*f - 102, 5*k + 5*f - 585 = 0. Suppose 5*j = k - 4. Calculate the least common multiple of 20 and j.
220
Suppose -4*x = -247 - 361. What is the smallest common multiple of 22 and x?
1672
Let a = -5910 - -82651/14. What is the common denominator of a and 113/42 + (12 - 14)?
42
Suppose 3*p + 131 + 20 = 2*o, -83 = -o - p. Let d = 7 - 3. Suppose s + d*s = o. Calculate the lowest common multiple of 14 and s.
112
Suppose -72 = 7*q - 4*q. Let t = q - -25. Let r(a) = -a**2 + 6*a + 1. What is the least common multiple of r(6) and t?
1
What is the lowest common multiple of 6 and -1*(-1 + 1 - 2)*5?
30
Let c(a) = a**3 - 13*a**2 - a + 27. What is the lowest common multiple of 34 and c(13)?
238
Suppose -6 = -5*v + 4. Suppose y - 59 - 6 = 0. Suppose -d = -5*n - 8 - 7, -3*d = 5*n - y. Calculate the lowest common multiple of v and d.
20
Let j = 103 - 105. Calculate the least common multiple of 36 + j - (1 - (-3 - 0)) and 12.
60
Suppose -3*r - 1884 = -r. Let o = 7547/8 + r. Calculate the common denominator of -41/9 and o.
72
Let c = 634810921/2 - 4749655424615/14964. Let l = c - -18/1247. Find the common denominator of l and (2/36)/((-2)/51).
12
Let a be ((-75)/(-318))/(6/(-340)). Let w = -5/159 - a. Calculate the common denominator of 7/9 and w.
9
Suppose -9*m - 43*m = -5304. Calculate the lowest common multiple of 204 and m.
204
Suppose 0 = -2*b - 22 + 40. Let h(f) = 9*f**2 + f + 2. Calculate the least common multiple of b and h(-1).
90
Let r = -5 + 7. Let y(f) = -2*f**2 - 3*f + 15. Let a(m) = -m**2 - 2*m + 7. Let g(l) = 5*a(l) - 2*y(l). Calculate the least common multiple of g(-3) and r.
8
Let s = 1/36924 + -12562367/61540. Let h = 229114/1191 + -15/397. Let m = h + s. Find the common denominator of m and 10/7.
35
Suppose 5*f - 3*d = 66, -26 + 14 = -4*d. Calculate the least common multiple of 273 and f.
1365
Let z(o) be the second derivative of o**5/20 - o**4 - 13*o**3/6 + 8*o**2 - 21*o. Let x = 72 - 42. What is the lowest common multiple of z(13) and x?
240
Let d = 3 + 4. Suppose -3*g + 6 = -0*z + 2*z, 0 = 3*g + 5*z + 3. Calculate the lowest common multiple of g and d.
28
Suppose -5*f = -5, 0 = -0*r - r + 5*f - 7. What is the common denominator of r/(2 + 4) + (-5008)/2400 and 4/5?
50
Find the common denominator of -57/16 and (-5)/2*745/(-525).
336
Suppose 6*t - 2*t - 8 = 0. Suppose t*k + 2*k = 0. Suppose -m - 3*g + 1 = k, 0 = -4*m - 0*g - 3*g + 31. Calculate the least common multiple of 10 and m.
10
Let l(b) = 2*b**2. Let j be l(-1). Suppose j*d = d + 14. Let p(a) = -a + 20. What is the smallest common multiple of d and p(0)?
140
Suppose 5*m = 9*m - 16. Suppose -6 = -5*i + m. What is the smallest common multiple of 2 and i?
2
Let c be (-3)/2*919 - 5/1. Let l = 281861 - 3398801/12. Let s = c - l. Find the common denominator of s and 97/18.
36
Suppose 20*p = 15*p + 760. What is the least common multiple of p and 114?
456
Let t(u) = 79*u - 350. Calculate the lowest common multiple of 120 and t(5).
360
Suppose 2*r + 2*g - 78 = 0, -r + 62 = r - 2*g. What is the least common multiple of r and 259?
1295
Let l = -4069967/28706085 - -2/109985. Find the common denominator of l and -7/290.
2610
Suppose 2*j - 2*q = -2*j + 6, -2*j = -3*q - 9. Suppose 25 = -5*p, j*f - f = -4*p - 63. What is the smallest common multiple of f and 3?
129
Let m(c) = c**3 + 9*c**2 + 17*c + 13. Let z be m(-6). Let y = 39 - z. What is the smallest common multiple of y and 15?
60
Calculate the smallest common multiple of 21 + 2/3*-3 - 3 and 11.
176
Suppose -216 = -d - l, 3*d - 2*l - 378 - 270 = 0. Calculate the lowest common multiple of d and 48.
432
Let h = 53 - 55. Find the common denominator of 73/14 | {
"pile_set_name": "DM Mathematics"
} |
?
-1000
Let j(b) be the first derivative of 36875*b**2 + 1. Suppose 3*m + 22 = 3*t - 8, -34 = 5*m + 3*t. Let y be j(m). What is y rounded to the nearest 100000?
-600000
Let j = 1 - 7. Let s = 7 + j. Let d = -1.000006 + s. Round d to five dps.
-0.00001
Let q = -0.6209 - 0.1101. Round q to one dp.
-0.7
Suppose 5*m + 1738 = 4*y + 25434, -2*m - y = -9481. Round m to the nearest 100.
4700
Let v = -44.6 - -157.5. Let f = v + -119. Round f to the nearest integer.
-6
Let h = 24 + -28. Let a be (-1)/h + 888/32. Round a to the nearest 10.
30
Let n = 41594 + -41594.033949. Let x = n - -0.034. What is x rounded to 5 dps?
0.00005
Let m = -904.485 + 903. What is m rounded to one dp?
-1.5
Let x = 866.74 + -856. Let m = -2.16 - x. What is m rounded to 0 decimal places?
-13
Let k = -505410.6200331 + 505409.8. Let x = k + 0.82. What is x rounded to six decimal places?
-0.000033
Let t = 47428 - 21860. Let l = t + -25741.869. Let d = 174 + l. What is d rounded to two decimal places?
0.13
Let a = -3250429 + 9079775. Let t = 3570654 + a. Round t to the nearest one million.
9000000
Let w = -422976636 - -252176636. What is w rounded to the nearest one million?
-171000000
Let x = -0.192 - -0.081. Round x to 2 dps.
-0.11
Suppose -z - x - 313495 = 0, 0 = -3*z + x - 1126981 + 186476. Round z to the nearest 10000.
-310000
Let k = -11.84 - -5.17. Round k to one decimal place.
-6.7
Let p(d) = -4*d**3 - 2*d**2 + 1. Let r be 3/(-5) - 6/15. Let v be p(r). Suppose -2*b = 2*q - 5*b - v, -4*q - b = 1. What is q rounded to 2 dps?
0
Let f = 27167773 + -12867773. Round f to the nearest one million.
14000000
Suppose -2*h + 278 = 2*d - 86, -2*d + 364 = -3*h. Round d to the nearest 100.
200
Let x = -3 + 5. Let i(v) = -37*v + 2 + 34*v - 2*v**2 + v**2 + 625*v**3 + 2*v**2. Let w be i(x). What is w rounded to the nearest ten thousand?
10000
Suppose j + 0 = -35. Let x be 15/j - 2520003/(-7). Round x to the nearest one hundred thousand.
400000
Let u be (-1 + 30001)*(-12 + 6 + 15). Round u to the nearest 10000.
270000
Let v = -57.3 + 9.3. Let i = -16 - v. Let l = i + -30.98. Round l to one dp.
1
Let i be 1*(-3 + 7) - 4. Suppose -2*q = -i*q - 10. Let h be 92/q*3750/6. What is h rounded to the nearest 1000?
12000
Let p be (-21)/14*(0 + -2). Let o be (-115200002)/p + (-30)/(-45). What is o rounded to the nearest one million?
-38000000
Let z(f) = -4119996*f - 2. Let l(u) = 4119995*u + 2. Let p(b) = 2*l(b) + 3*z(b). Let d be p(1). What is d rounded to the nearest one hundred thousand?
-4100000
Let i = -7 - -10. Suppose 0 = 3*l - 5*j - 65, l = -i*l - 5*j + 75. Let m = 120 - l. Round m to the nearest 100.
100
Let t = -331.873 + 329.6. Round t to one decimal place.
-2.3
Let b be 2 + (-8)/(16/(-4)). Suppose y + 5217 = -p + 3*y, b*p - y = -20861. Let u = p - 96785. What is u rounded to the nearest 10000?
-100000
Let l = -0.6 + 0.58. Let m = l + -0.16. Let d = m - -0.166. Round d to 2 decimal places.
-0.01
Let p = 214377712325902 + -214377746308427.0000007. Let t = -33982529 - p. Let n = t - -4. Round n to seven decimal places.
0.0000007
Let l = 790.180534268 - -335.819466385. Let r = -1126 + l. Round r to seven decimal places.
0.0000007
Suppose 0*p = -2*p + 8. Let r = p - 1. Let i be (-220)/24*8*r. Round i to the nearest one hundred.
-200
Suppose -2*v = -j - 66200, 0*v + 3*j + 165500 = 5*v. What is v rounded to the nearest ten thousand?
30000
Let n = -2.88291 + -0.03809. Let j = n - 0.969. What is j rounded to zero decimal places?
-4
Let n = 362030 - 361832.087. Let r = -198.123 + 0.123. Let t = n + r. What is t rounded to 2 decimal places?
-0.09
Suppose 52*g + 3*g = -1456950000. What is g rounded to the nearest 1000000?
-26000000
Let v(k) = -95270*k**2 - 266283*k**2 + 9*k - 4 + 111552*k**2 - 14*k. Let r be v(-4). Round r to the nearest 1000000.
-4000000
Let f = 232798691.00000075 + -232798661. Let v = f - 30. What is v rounded to seven decimal places?
0.0000008
Let n = 498 - 497.989998. Let d = -0.01 + n. What is d rounded to 6 decimal places?
0.000002
Suppose -4 = -3*p + 2*p. Suppose 3*f - 9200 = p*f. What is f rounded to the nearest 1000?
-9000
Let c = 1.9 + -1. Let r = c + -0.90264. Round r to 4 dps.
-0.0026
Let h(m) = -m**3 - 15*m**2 - 2*m - 12. Let b be h(-15). Suppose -3 = 3*f - b. Suppose -v - 12000 = v + 4*u, f*u = 0. Round v to the nearest one thousand.
-6000
Suppose 4*t + 817929 - 27377829 = 0. Suppose -t = 4*c + 5*l, 0 = 3*c + c + 4*l + 6639980. What is c rounded to the nearest one hundred thousand?
-1700000
Suppose -4 = -4*s, -r + 4 + 3 = 4*s. Suppose r*g + 18 = -2682. What is g rounded to the nearest ten thousand?
0
Suppose 24 = -g - 2*g. Let q(s) = -436*s + 32. Let y be q(g). What is y rounded to the nearest 1000?
4000
Let u = -3568111418.10000687 - -3568111360. Let q = u - -58.1. Round q to 6 decimal places.
-0.000007
Let h = 0.0082 + 28.0918. Let z = h + -2.1. Let j = 26.00132 - z. Round j to 4 decimal places.
0.0013
Suppose 4 = z - 0. Suppose 3*w - w = z. Suppose h - 448 = 2*d, 448 = -w*d + h - 5*h. What is d rounded to the nearest 10?
-220
Let i = 0.795472 + -0.794. Round i to three decimal places.
0.001
Let q = -185576.60018 - -185526.6. Let x = 50 + q. Round x to four dps.
-0.0002
Let c = 1 + 10. Let f(v) = -2*v**3 + 6*v**2 - 15*v - 9. Let b be f(c). Round b to the nearest 100.
-2100
Let q = -2206.3 - -2109. Round q to the nearest ten.
-100
Let l = 17.6 + -17.60535. Round l to 3 dps.
-0.005
Let n(o) = o**3 + 47*o**2 + 10*o - 160. Let d be n(-47). Round d to the nearest ten thousand.
0
Let a = -25.046 + 25. Let m = a + -3.854. What is m rounded to zero decimal places?
-4
Let n = -23.6 + 3.1. Let g = 7.7 + n. Let y = -12.800057 - g. Round y to 5 dps.
-0.00006
Let z = 0.415706 - 0.422. What is z rounded to 4 decimal places?
-0.0063
Let u = -4.41 + 3. Let b = 0.222 - -0.008. Let o = u - b. Round o to 1 dp.
-1.6
Let s(b) = 7125000*b**2 - 39*b - 156. Let y be s(-4). What is y rounded to the nearest one million?
114000000
Let t = 23.93 - 23.929562. Round t to 4 decimal places.
0.0004
Let n = 148.0000085 + -148. What is n rounded to six dps?
0.000009
Let y = 33.094 - 6.87. Let p = 26 - y. Let i = 0.49 + p. Round i to 2 dps.
0.27
Let g = 53561 + -53563.2361. Round g to one decimal place.
-2.2
Suppose 0 = 3*k + 5*s - 0 + 1134, -4*s = -4*k - 1480. Round k to the nearest 100.
-400
Let t = 10086 + -10085.95557. Round t to 3 dps.
0.044
Suppose -26*x + 1750054 = 308094. What is x rounded to the nearest 10000?
60000
Let y = 0.143295 - -27.231729. Let t = y + -27.265. Let s = 0.11 - t. Round s to five decimal places.
-0.00002
Let u = 0.02267 + -145.63267. Let w = -147 - u. Round w to the nearest integer.
-1
Let h = -46 - -102. Let y = -56.0000009 + h. Round y to 6 decimal places.
-0.000001
Let t = 3 + 1. Suppose t*k = -523 - 725. Round k to the nearest ten.
-310
Let b = 16 - 81. Let w = b - -64.9999911. What is w rounded to 6 decimal places?
-0.000009
Let j(g) = 2*g**3 + g**2 - 6*g + 6. Let w be (4*-1)/((-2)/(2/(-1))). Let l be j(w). What is l rounded to the nearest 10?
-80
Suppose -5*u = 3*f - 23 + 6, f + 1 = 0. Let b be u + -4 + 529999 + 1. What is b rounded to the nearest 100000?
500000
Let a = 36.23 + 0.77. Let q = a - 20. Let r = 16.99954 - q. What is r rounded to 4 decimal places?
-0.0005
Let r = 62.22 - 62.2193887. Round r to four dps.
0.0006
Let m = -27908390 - -27908388.4400067. Let p = 59 - 57.44. Let t = p + m. What is t rounded to six decimal places?
0.000007
Suppose 0 = -3*y + 13 - 4. Suppose 0 = -y*d + 1438805 - 317702. Suppose p = d + 1796299. Round p to the nearest one hundred thousand.
2200000
Suppose l + 7 = o, -3*o + 21 = 2*o + 2*l. Suppose 3*f - o = -20. Let s(t) = -815999*t**2 + 4*t - 5. Let r be s(f). Round r to the nearest one million.
-20000000
Let g = -28.28 - 0.72. Let p = -28.3 - g. Let j = -0.700068 + p. What is j rounded to 5 dps?
-0.00007
Let u = -0.078 - 363.922. Let g = 364.000000474 + u. What is g rounded to seven dps?
0.0000005
Let d = -2.4149153 - -0.0229453. Let l = d - -2.39. What is l rounded to 3 decimal places?
-0.002
Let l = -2857 - -2851.726. Let d = l + 4.7. Let q = d + 0.43. What is q rounded to 2 decimal places?
-0.14
Let o = 282089.57 - 279739. Let v = -2286 + o. Let t = v - 64. Round t to one dp.
0.6
Suppose 5*h + 1609566 = 6*h. Suppose -3*v - h = | {
"pile_set_name": "DM Mathematics"
} |
n divisor of b and 2709.
9
Let s(c) = -56*c + 2453. Let p be s(35). What is the greatest common factor of p and 29?
29
Let s be -83 - -74 - (-665)/1. Suppose 4*k - 58 = 106. What is the highest common factor of s and k?
41
Let x be (-7)/49 + 338/14. Suppose -4*n - 5 + 13 = 0. Suppose -8 = n*c - 20. What is the greatest common divisor of x and c?
6
Let d(k) = -19*k + 241. Let c be d(9). Suppose 0 = 4*y - c + 18. Calculate the highest common factor of 26 and y.
13
Let w = -65 + 39. Let o = 53 - w. Let s = 38 + o. What is the highest common factor of 13 and s?
13
Let j be 4*(-3)/30*5*(-2 - 1622). Calculate the highest common divisor of j and 87.
29
Suppose 4*j + 4 = 0, 2194 + 157 = 4*l + j. Let r = l + -163. Calculate the highest common divisor of 17 and r.
17
Suppose 0 = -5*n + 2*u + 4890, 0 = -n - 4*u + 1274 - 318. What is the highest common divisor of n and 183?
61
Let v(p) = -p**3 - 2*p**2 + 366*p + 187. Let n be v(0). Suppose 7*i - 4*i = 165. Calculate the highest common divisor of i and n.
11
Let u(j) = 12*j**2 + 10*j + 83. Let h = -262 + 256. Let c be u(h). What is the highest common factor of c and 35?
35
Suppose 4*w - 120 = 3*a, -119 = -5*w - 423*a + 419*a. Calculate the greatest common factor of w and 1512.
27
Let d = -32067 + 32097. Let g be ((-6)/4)/(2/(-8)). What is the highest common divisor of d and g?
6
Let f(n) = n**2 - n + 8. Let v be f(0). Suppose 0 = -2*o - 0. Suppose o = 11*r + 6*r - 408. What is the greatest common divisor of v and r?
8
Suppose -4*p = -p - 261. Calculate the highest common divisor of 1392 and p.
87
Let r(k) = -k**3 - k**2 + 20. Let n be r(0). Suppose 5*p = -2*q + 508, -8 = q - 12. Calculate the highest common divisor of p and n.
20
Let m(r) = 21*r - 191. Let g = -212 + 247. Let n be m(g). Calculate the highest common factor of 68 and n.
68
Suppose 76*n - 6031 - 1873 = 0. Calculate the highest common divisor of n and 2678.
26
Let w be (6/24)/((-6)/(-48)). Suppose 3*x = -3*q, q - 2*x - 8 = -w. What is the highest common factor of 38 and q?
2
Let b be 2 + 4/(-3) + 67/3. Suppose -28*g + b*g = -20. Suppose -g*m = -105 - 7. Calculate the greatest common divisor of m and 196.
28
Let p = -11697 - -11709. Calculate the highest common factor of 3804 and p.
12
Let t(u) = u**2 - 9*u - 15. Let d be t(11). Let p(v) = v**3 - 8*v**2 + 12*v - 32. Let b be p(d). Calculate the highest common factor of 60 and b.
3
Suppose -24*c + 261 = 933. Let f be 2/(16/60*(-6)/c). Calculate the greatest common factor of 21 and f.
7
Suppose 3*o = -4*m + 10411, 3*o - 3*m - 6918 = o. Suppose 11*v = -0*v + o. What is the greatest common divisor of v and 35?
35
Let d = 173 - 169. Suppose 0 = -d*m, -8*h + 3*h = -m - 1410. Calculate the highest common factor of h and 12.
6
Let y(t) = 277 - 492 - t + 361. Let r be y(23). What is the highest common divisor of 3 and r?
3
Let c(t) = -t**3 + 7*t**2 - t + 10. Let z be ((-3)/6 - 6/(-4)) + 13. Suppose 0 = 12*w - z*w + 10. Let m be c(w). What is the greatest common factor of m and 22?
11
Let c = 11732 + -8120. Calculate the greatest common factor of 252 and c.
84
Let z be (-1 + 4 + 1)*((25 - 12) + 10). What is the greatest common factor of 11500 and z?
92
Let x = -4672 - -14914. What is the greatest common factor of 18 and x?
18
Suppose 5*i + c = 145, -10*i + 2*c + 46 = -8*i. Calculate the greatest common divisor of i and 6356.
28
Let r be 15/18*(-16)/56*-19509. What is the greatest common factor of 35 and r?
5
Suppose -t + 3*v + 22 = 0, -3*t - 171*v + 46 = -170*v. What is the greatest common factor of t and 1032?
8
Suppose 4*p = 20, 0*p + 9 = -2*n + 5*p. Suppose 6*q - n*q = 0. Suppose 4*b - 11 - 49 = q. Calculate the greatest common factor of b and 60.
15
Suppose 2*m = -5*a + 130, 13*m + 71 = 2*a + 10*m. Let u(i) = -i**2 + 6*i + 7. Let p be u(6). What is the highest common divisor of a and p?
7
Let z(h) = h + 2. Let j be z(10). Let r(b) = b**2 - 14*b + 5. Let d be r(11). Let a = d - -31. Calculate the greatest common factor of a and j.
3
Let r = -627 - -629. Let g be 1766/7 - r*8/56. Calculate the highest common divisor of g and 21.
21
Let j(s) = 564*s - 5630. Let u be j(10). Suppose 0 = 4*v + 30 - 10, -70 = -b + 5*v. What is the greatest common divisor of u and b?
5
Suppose -69*j + 159*j = 2430. Let f(u) = 25*u**2 + 3*u - 1. Let n be f(-4). Calculate the greatest common factor of j and n.
9
Let c be (6 - 5)*2*-1. Let l be (17 - 7)/(c/(-3)). Let h(b) = b**3 - 15*b**2 + 2*b - 19. Let k be h(l). Calculate the greatest common factor of 11 and k.
11
Let h be (-4633 - (4 + -6))/(1*-1). Suppose h = -3*q - 4153. Let r be q/(-15) + 1*(-1)/5. What is the greatest common factor of r and 78?
39
Let v = 47613 + -47078. What is the highest common divisor of 8881 and v?
107
Suppose 7*h = -2*h - h + 210. Calculate the greatest common divisor of h and 345.
3
Let o = -27 + 66. Let i(u) = -2*u**3 + 19*u**2 - 9*u + 5. Let n be i(9). Suppose -n*m + 266 + 1099 = 0. What is the greatest common divisor of o and m?
39
Suppose 5*k + 11 = -4*p - 9, -4*k = -2*p - 10. Suppose k = 11*y - 69 + 3. Suppose 1323 = -3*q + y*q. Calculate the highest common factor of q and 49.
49
Let h = -45 - -40. Let d be ((-357)/6)/(1*h/10). Suppose -f = 2*c - 84, -4*f + d + 217 = c. Calculate the highest common divisor of 12 and f.
12
Suppose -5*q + 31 = -29. Suppose 4*p + 34 - 787 = 5*n, -p - 2*n = -198. What is the highest common divisor of q and p?
12
Let n be (-120)/96 + (-58159)/(-76). What is the highest common factor of n and 52?
4
Let f(m) = m + 2. Let g be f(14). Let p = -19 + 74. Let y = p + -39. What is the highest common factor of y and g?
16
Suppose -p + 1288 = -2*k, 5*p - 5*k - 6382 = 38. Calculate the highest common factor of 2816 and p.
256
Suppose -23*g + 610 + 3190 = 764. Calculate the highest common factor of 2156 and g.
44
Let a(t) = 0*t - 5*t - 8 + 5*t - 2*t. Let f be a(-7). Let u(k) = 4*k + 28. Let d be u(2). Calculate the highest common factor of f and d.
6
Let f(p) = 10*p**3 - 4*p**2 - 13*p - 3. Let v be f(6). Calculate the highest common factor of v and 45.
45
Suppose 635*n - 619*n - 409760 = 0. What is the greatest common divisor of 130 and n?
130
Suppose 0 = 22*i - 28*i + 30. Suppose 2*n - 4*z + 6*z = 68, -3*n = -i*z - 110. What is the highest common factor of n and 105?
35
Suppose -i + 2*i = -270. Let u = 460 + i. What is the greatest common divisor of 152 and u?
38
Let j(f) = f**3 - 47*f**2 + 249*f - 78. Let u be j(41). Let k(y) = y**2 + 105. Let t be k(0). Calculate the highest common factor of u and t.
15
Let p(a) = -16*a + 2. Let k be p(0). Suppose k*s - 4*m - 90 = 0, 5*m = -s - 0*m + 10. What is the greatest common divisor of s and 35?
35
Let q(x) = 8*x - 53. Let s be q(7). Suppose -2*v - 4 = 0, -s*v = -4*t + 2*v + 22. What is the greatest common divisor of 15 and t?
3
Let u(a) = -3*a**2 - 50*a - 12. Let b be u(-8). Suppose b - 16 = 4*n. What is the greatest common factor of 495 and n?
45
Let x be (0 - 1)/((-16)/5632). What is the greatest common factor of x and 256?
32
Let g = 5724 + -5575. Calculate the greatest common factor of 27267 and g.
149
Let d be 472/5 - (-4 - (-44)/10). Let u be (-11)/(-3)*(d + -13). Suppose -6*o = -8*o + 54. What is the highest common divisor of u and o?
27
Let g be (9/(-6) - (-618)/36)*15. Suppose -q + 2*q = 94. Calculate the highest common divisor of q and g.
47
Let b(p) = p**2 + 14*p - 47. Let t be b(-16). Let y = 18 + t. Suppose 0 = -y*o - 95 + 104. What is the greatest common factor of o and 33?
3
Let u(n) = -n**2 + 6*n + 15. Let p be u(-3). Let q = p + 556. Suppose 2*i - i - 4*t = q, -2*t - 1064 = -2*i. Calculate the greatest common factor of i and 48.
48
Suppose 2*n - 1047 = -359. Let j = 362 - n. Calculate the highest common factor of j and 6.
6
Suppose 36*c - 559 = -7*c + 215. Suppose -4*r = f + r + 21, f = 5*r - 71. Let g be f/(-8) - 4/(-16). What is the highest common factor of g and c?
6
Suppose -63 = -c - 5*q, 9*q - 7*q - 4 = 0. Let d = 223 - c. What is the highest common factor of d and 20?
10
Suppose 3*f + 50 = 2*p, 5*p = 16*f - 15*f + 112. Let k = -4 + 59. Calculate the highest common factor of p and k.
11
Suppose -9*c = -20*c + 2563. Let s = 301 - c. What is the greatest common divisor of 17 and s?
17
Let z be (-6)/(-72)*-4*315. Let d(n) = n**3 - 4*n**2 - 4*n. Let k be d( | {
"pile_set_name": "DM Mathematics"
} |
nds digit of 613273?
1
What is the ten thousands digit of 1725727?
2
What is the hundred thousands digit of 286897?
2
What is the thousands digit of 2627863?
7
What is the hundred thousands digit of 2278028?
2
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5
What is the tens digit of 4217362?
6
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1
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0
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2
What is the thousands digit of 41722?
1
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4
What is the thousands digit of 2657235?
7
What is the units digit of 1257422?
2
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3
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5
What is the ten thousands digit of 2496410?
9
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5
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1
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3
What is the tens digit of 2847256?
5
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3
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5
What is the units digit of 4841365?
5
What is the tens digit of 62648?
4
What is the ten thousands digit of 1095055?
9
What is the units digit of 3622533?
3
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4
What is the units digit of 3988?
8
What is the hundred thousands digit of 248466?
2
What is the thousands digit of 17941940?
1
What is the hundreds digit of 7597151?
1
What is the millions digit of 4631616?
4
What is the hundred thousands digit of 4421787?
4
What is the thousands digit of 2186194?
6
What is the tens digit of 20371128?
2
What is the units digit of 12150302?
2
What is the hundred thousands digit of 8215449?
2
What is the ten millions digit of 16962176?
1
What is the hundred thousands digit of 2399358?
3
What is the ten millions digit of 13115067?
1
What is the ten thousands digit of 51254?
5
What is the hundred thousands digit of 3370718?
3
What is the tens digit of 221611?
1
What is the thousands digit of 398815?
8
What is the ten thousands digit of 1525415?
2
What is the tens digit of 20485536?
3
What is the thousands digit of 2903438?
3
What is the hundred thousands digit of 1044461?
0
What is the thousands digit of 58528?
8
What is the hundred thousands digit of 566100?
5
What is the ten thousands digit of 172229?
7
What is the tens digit of 288264?
6
What is the ten thousands digit of 697793?
9
What is the tens digit of 880284?
8
What is the ten thousands digit of 87302?
8
What is the thousands digit of 167072?
7
What is the tens digit of 345056?
5
What is the hundreds digit of 90650?
6
What is the hundred thousands digit of 842862?
8
What is the tens digit of 10831638?
3
What is the hundred thousands digit of 197444?
1
What is the thousands digit of 679090?
9
What is the millions digit of 1495526?
1
What is the hundreds digit of 1911478?
4
What is the ten thousands digit of 1190134?
9
What is the hundreds digit of 1565807?
8
What is the ten thousands digit of 1151189?
5
What is the thousands digit of 638597?
8
What is the hundred thousands digit of 332478?
3
What is the units digit of 2400782?
2
What is the ten thousands digit of 5587665?
8
What is the tens digit of 901259?
5
What is the thousands digit of 76781?
6
What is the thousands digit of 5336800?
6
What is the millions digit of 5133256?
5
What is the ten millions digit of 23095017?
2
What is the units digit of 4717219?
9
What is the tens digit of 23274?
7
What is the tens digit of 183843?
4
What is the hundreds digit of 276152?
1
What is the tens digit of 5355?
5
What is the hundreds digit of 1765723?
7
What is the millions digit of 2698102?
2
What is the hundreds digit of 32097705?
7
What is the units digit of 2934?
4
What is the hundreds digit of 4558916?
9
What is the hundreds digit of 11306965?
9
What is the ten thousands digit of 1447529?
4
What is the hundreds digit of 838633?
6
What is the tens digit of 2908310?
1
What is the ten thousands digit of 885037?
8
What is the ten thousands digit of 891576?
9
What is the ten thousands digit of 56729?
5
What is the thousands digit of 51441?
1
What is the hundreds digit of 51733?
7
What is the units digit of 31023908?
8
What is the thousands digit of 106148?
6
What is the hundreds digit of 1113337?
3
What is the hundreds digit of 461956?
9
What is the tens digit of 117899?
9
What is the millions digit of 4522126?
4
What is the tens digit of 17496?
9
What is the hundreds digit of 799240?
2
What is the thousands digit of 1557046?
7
What is the ten thousands digit of 28056479?
5
What is the hundreds digit of 257140?
1
What is the hundred thousands digit of 734646?
7
What is the units digit of 117296?
6
What is the hundred thousands digit of 239988?
2
What is the millions digit of 12021843?
2
What is the thousands digit of 549785?
9
What is the thousands digit of 1610532?
0
What is the tens digit of 1399433?
3
What is the ten thousands digit of 557670?
5
What is the hundred thousands digit of 198356?
1
What is the ten thousands digit of 140129?
4
What is the ten thousands digit of 634241?
3
What is the ten thousands digit of 2900832?
0
What is the thousands digit of 1768241?
8
What is the tens digit of 24790?
9
What is the thousands digit of 349742?
9
What is the thousands digit of 7951082?
1
What is the ten thousands digit of 28214?
2
What is the hundreds digit of 104811?
8
What is the units digit of 3864792?
2
What is the hundreds digit of 147266?
2
What is the millions digit of 1440040?
1
What is the units digit of 158611?
1
What is the tens digit of 910415?
1
What is the units digit of 331184?
4
What is the tens digit of 10739985?
8
What is the tens digit of 8528737?
3
What is the hundreds digit of 2628021?
0
What is the hundred thousands digit of 3521221?
5
What is the ten thousands digit of 4557542?
5
What is the units digit of 1712851?
1
What is the tens digit of 292321?
2
What is the tens digit of 989422?
2
What is the ten thousands digit of 17313842?
1
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5
What is the ten thousands digit of 36821215?
2
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2
What is the tens digit of 2040110?
1
What is the millions digit of 1192543?
1
What is the ten thousands digit of 129621?
2
What is the thousands digit of 21855323?
5
What is the ten thousands digit of 501799?
0
What is the hundred thousands digit of 26177397?
1
What is the tens digit of 5409612?
1
What is the ten thousands digit of 2068739?
6
What is the hundreds digit of 3435707?
7
What is the hundreds digit of 459073?
0
What is the tens digit of 224551?
5
What is the ten thousands digit of 984242?
8
What is the tens digit of 47663?
6
What is the ten thousands digit of 91988?
9
What is the ten thousands digit of 8413216?
1
What is the ten thousands digit of 331451?
3
What is the thousands digit of 217341?
7
What is the thousands digit of 31409?
1
What is the thousands digit of 260673?
0
What is the units digit of 2805667?
7
What is the units digit of 2803860?
0
What is the thousands digit of 11052258?
2
What is the tens digit of 195161?
6
What is the millions digit of 4302201?
4
What is the millions digit of 1407353?
1
What is the hundred thousands digit of 269638?
2
What is the hundreds digit of 535989?
9
What is the thousands digit of 4136953?
6
What is the hundreds digit of 220553?
5
What is the thousands digit of 5725638?
5
What is the tens digit of 37488?
8
What is the hundred thousands digit of 377842?
3
What is the ten millions digit of 12525216?
1
What is the thousands digit of 1011891?
1
What is the ten thousands digit of 684741?
8
What is the thousands digit of 13139062?
9
What is the ten thousands digit of 14517?
1
What is the hundred thousands digit of 2958998?
9
What is the thousands digit of 187561?
7
What is the tens digit of 839115?
1
What is the tens digit of 19897?
9
What is the hundreds digit of 2422570?
5
What is the hundreds digit of 144207?
2
What is the thousands digit of 27745888?
5
What is the millions digit of 14523322?
4
What is the ten thousands digit of 4526720?
2
What is the ten thousands digit of 1471181?
7
What is the millions digit of 4242431?
4
What is the hundred thousands digit of 113217?
1
What is the hundreds digit of 12010869?
8
What is the hundred thousands digit of 3290053?
2
What is the hundred thousands digit of 573319?
5
What is the tens digit of 67393?
9
What is the tens digit of 1 | {
"pile_set_name": "DM Mathematics"
} |
fy (y*y**(-2/5)/y*y*((y/y**(1/12))/y)/y)**(1/19)/((y/y**(-2/5)*y**(-1/7)*y*y)/(y*y**(-6)*y**(-7/5))) assuming y is positive.
y**(-77267/7980)
Simplify n**(-3/5)*n/(n*n*n**(4/7))*n*n**4*n*n/n**(3/2)*n*n**7*(n*n**(2/15))/n*n/(n*n**(1/11))*n/(n**(-2)/n) assuming n is positive.
n**(35507/2310)
Simplify (j*(j/(j*j**(-6/25))*j*j)/j*j**(-2/9)*(j**(-26))**(19/2))**(-15) assuming j is positive.
j**(55121/15)
Simplify ((u**(-7/8)*u*u/((u*u**(-27))/u))/(u*u**(2/29)*u**(-2/5)))**(-35) assuming u is positive.
u**(-222943/232)
Simplify ((g**3*g**4*g*(g*g**(2/7))/(g*g**5/g))**(-14))**(-3/22) assuming g is positive.
g**(90/11)
Simplify (d*d*d**(-1)*d**(1/5))/(d**(-7)/((d**(1/6)/d)/d))*(d*d*d/(((d**(1/3)/d)/d)/d))**(-4/35)*d**(-4)*d**(-5) assuming d is positive.
d**(-689/210)
Simplify (d*d**(-1/2)*d*d)**(-9/2)*((d*d**(2/3))/d)/(d**(-1)*d)*(d**(2/11)*d*d*d/d**(1/5)*d)/((d/(d**2/d))/d**(-6)) assuming d is positive.
d**(-8317/660)
Simplify ((o*o**(2/5))**24)**(20/3)*(((o*o/(o**7/o))/o*o)/(o/o**(-4/7)))**(2/75) assuming o is positive.
o**(39174/175)
Simplify c/(c/c**6)*c*(c*c*c**(-1)/c)/c*c**7/(c/(c**(7/4)*c))*(c**(-1)/c)/(c/c**2*c)*c**(2/7)/c**(1/7) assuming c is positive.
c**(361/28)
Simplify ((h/h**(-2/7))**(-9/2)*(h*h**(2/7))**44)/(h**(-2)/h**(-1)*(h*h/h**0)**25) assuming h is positive.
h**(25/14)
Simplify (((i*i/i**8)/i)/(i*i*i/i**(-1/11))*i**(-1/3)*i*(i/i**5)/i)**(-29) assuming i is positive.
i**(13804/33)
Simplify (((z/(z*z**(3/5)))/z*z**(3/5)*z*z**(-8)*z/(z**3/z))**(-32))**39 assuming z is positive.
z**11232
Simplify ((s/((s/(s*s/(s**(-26)*s)*s))/s*s))/s**(-11))/(s**5/((s/(s/(s*(s*s**1)/s*s)))/s)) assuming s is positive.
s**36
Simplify ((((u/(u/(u*u/(u/(u/u**20)*u))*u))**1)**(4/17))**(-47))**9 assuming u is positive.
u**(33840/17)
Simplify ((k*k*k**1)**13/(k**16)**(-2/47))**30 assuming k is positive.
k**(55950/47)
Simplify (c/(c*c**(-37)))/c*((c**37/c)/c)/c*c*c*(c**13)**(-42) assuming c is positive.
c**(-474)
Simplify ((i*i*(i*i/((i*i**13)/i*i))/i*i)**(1/27)/((i**25/i)/i**(-4/13)))**50 assuming i is positive.
i**(-433100/351)
Simplify ((c*c**6*c*c/c**(-2/23))/(c**(2/29)/c**(1/2)))**44 assuming c is positive.
c**(279334/667)
Simplify ((v**(-1/41)*v**32)/(v**(4/5)*v/(v*v**30)))**(-1/14) assuming v is positive.
v**(-12541/2870)
Simplify (((m**(4/7)*m)/m)/((m*(m/m**2)/m)/m))/(m/(m*m/((m/((m/m**(2/5))/m))/m))*m/m**0)*((m**1/m)/m*m*m*m*m**(4/3))/(m*m**1/m)**(-6/5) assuming m is positive.
m**(704/105)
Simplify (q*q**10*q*q**(-2/35))/(q*q**(5/3))**(9/10) assuming q is positive.
q**(334/35)
Simplify (n**(2/7)/(((n*n**(3/7)/n)/n)/n))/((n*n/n**4)/(((n/n**6)/n)/n))*(n**1)**(-47)/((n*n/n**0*n*n*n)/n)**33 assuming n is positive.
n**(-1275/7)
Simplify (i*i/i**4*i**1)/(i/i**(-2)*i**(-2/3)/i)*(i**(-5)*i**(-4/3)*i)/(i*i*i/i**1*i*i*i/(i**0*i)) assuming i is positive.
i**(-35/3)
Simplify (i**13)**(-25)*i**(1/7)/(i*i/(i/(i**(-1/2)/i))*i*i) assuming i is positive.
i**(-4569/14)
Simplify ((y**6/y)**30*(y/y**(-1/8))/(y**10/y))**(-10) assuming y is positive.
y**(-5685/4)
Simplify ((x**(-3)/x)**(-19))**(3/14)/((x*x**(8/3)*x*x/(x*x**4))/(x*x**(-1/3)/x)**(-14/3)) assuming x is positive.
x**(1082/63)
Simplify ((f**35/((f/((f/(f*f*f**(-1)*f*f)*f)/f))/f))**(-2/125))**15 assuming f is positive.
f**(-198/25)
Simplify (((t*t**(-1))/t**(2/17))/(t**1)**(2/17))/((t/t**(-1/3)*t)**(1/9)*(t*t**(-1/5)/t)/(t*t*t*t*t*t*t**(1/3)*t)) assuming t is positive.
t**(16154/2295)
Simplify (a**(-1/4)*a*a**6*a**2*a*a**(-1/2))/((a*(a/(((a**(-2)/a)/a)/a))/a)/(a**(-1/3)/a)*(a*a*a**(-1/3))/(((a**(-2/5)*a)/a)/a)) assuming a is positive.
a**(-23/20)
Simplify ((a**(2/5)*a/a**0*a*a)/(a/(a*a**(1/4))*a/(a*a*a*(a/a**5)/a*a)))/((a/(a*(a/a**(-5))/a*a)*a**4*a*a)/(a**(-2/21)/(a/a**5))) assuming a is positive.
a**(2333/420)
Simplify (h**(2/5))**16/((h/(h/h**(-4))*h)/(h/h**2))*(h/(h/((h**(-1)/h)/h)))/h**(-7)*(h/(h*h*h**(-2/5)))**45 assuming h is positive.
h**(-73/5)
Simplify ((m/m**(-5/3))/m**1*m*m**(2/17)*m*m/(m*m**(-2/5)))/((m*(m/(m**1/m))/m)**(-16/9)/(m**(-2)/(m*(m**(-1/2)*m*m*m)/m*m*m*m))) assuming m is positive.
m**(-2353/1530)
Simplify ((t**29/t*t*(t*t*t**(-6)*t*t)/t)/(t/(t*t*t**(1/26))*t)**20)**(-22) assuming t is positive.
t**(-7656/13)
Simplify (((f**(2/7)/f)**(2/3))**(-22))**(-35) assuming f is positive.
f**(-1100/3)
Simplify ((g**(-3/5)*g**4*(g/g**(-2/7))**(1/3))**(-10/11))**(2/27) assuming g is positive.
g**(-536/2079)
Simplify ((f**(-3/16)*(f/(f/(f/f**17)))/f)/(f**(-1)*f**(-1/13)))**39 assuming f is positive.
f**(-10053/16)
Simplify (((d**(-1/2))**(-3/26)/((d**6/d)/d**(4/13)))**(-1/16))**50 assuming d is positive.
d**(6025/416)
Simplify ((t**(-1/9)/(t*(t**(-20)*t)/t))/((t/t**(9/4))/(t**0*t)))**(-4/17) assuming t is positive.
t**(-761/153)
Simplify w**(2/5)/((w*w*(w/w**33)/w)/w)*(w*w*w**(2/99))/(w/w**(-10/7)) assuming w is positive.
w**(110851/3465)
Simplify (j**(1/2)/j*j*j*j/((j**(-3/11)*j)/j*j)*((j/j**(-6/5)*j)/j*j)/j*j**0/j)**30 assuming j is positive.
j**(981/11)
Simplify (((t*t**(1/46)*t*t)/(t/t**(-21)))/(t*t**(-7)*t)**(-2/159))**(-5/2) assuming t is positive.
t**(696335/14628)
Simplify (j/((j*j/((j**0/j)/j*j)*j)/j))**30*(j**0)**(-4/5)*(j*j**(-1/4)*j**(3/8)/j)/(j**1)**(7/5) assuming j is positive.
j**(-2451/40)
Simplify (z**(-24)/z**5*z*(z/(z*z**(-25)))/z*z*z**11)**2 assuming z is positive.
z**16
Simplify ((((s/((((s/(s**(-2/7)*s*s*s))/s)/s*s)/s*s))/(s*s**6))/(s**(-5)*s*s*s*s**(-2/5)*s))**(-1/50))**9 assuming s is positive.
s**(297/875)
Simplify (w**0/(w*w*w/((w*w**(-4))/w)))/(((w/w**(-4))/w)/w*(w*w*w**7)/w)*(w**(1/7)*w/(w/(w**(-5/3)*w))*w)/(w**(-1))**(-39) assuming w is positive.
w**(-1187/21)
Simplify (((r/r**6*r/(((((r**1/r)/r)/r*r)/r)/r*r))/(r**(3/7)*r*r**3))**0)**(-4/11) assuming r is positive.
1
Simplify ((t*t**(-2/131))/(t*(t/t**(1/2))/t*t)*(t/t**(3/7))**(-6/13))**(8/5) assuming t is positive.
t**(-74292/59605)
Simplify ((b**4/b)/(b**(-1/7)*b))**(-7/3)/((b*(b*b**(-2/3)/b*b*b*b)/b)**(-7/10)/(b*b*b/(b**(2/7)/b*b*b)*b**(3/7))) assuming b is positive.
b**(-257/210)
Simplify ((p**(-2/7))**31*p*p**18*p*p*p/(p/(p*p**(-8)*p)))**(2/39) assuming p is positive.
p**(86/273)
Simplify ((g**(3/5)*g*g**4)/(g**(-4)*g**(-1/9)))/((g/g**(-2))**(-30))**(8/11) assuming g is positive.
g**(37207/495)
Simplify (((h/(h*h**8)*h)/h*h*h*h**(-8)/h*(h**(-1/4)/h*h)**6)**(-2/53))**(2/15) assuming h is positive.
h**(22/265)
Simplify (c**2)**(-2/17)/(c**3*c**7)*c/c**8*c**(-2/7)*c*(c**(-2/5)*c)**(-39) assuming c is positive.
c**(-23753/595)
Simplify (((h/(h**6*h))/(h*h*h**(3/2)*h))/((h/(h*h/h**(-2/15)))/h**(2/3)))/(h**(-2)/(h*h*h/h**(-4))*(h**0/h)**22) assuming h is positive.
h**(223/10)
Simplify (v**(1/16)*(v*v**(-13))/v*v*v**(-7)*v*v**(-8/9)*v)**(-10) assuming v is positive.
v**(12835/72)
Simplify ((d*d/(d**(-2/9)/d))/d)**(-23)*d*d**(3/7)*d*d*(d*d**(-4))/d*d*d*d*(d*d/(d/d**(5/4))*d*d*d**(-4/5))**(-1/17) assuming d is positive.
d**(-1047127/21420)
Simplify (s**(-9)/(s*s*s**(-6)*s))**50*(s/(s*s*s*s**(2/3)*s))**(-11)*s**7/((s/(s*(s*s**(1/4))/s))/s) assuming s is positive.
s**(-3017/12)
Simplify (v**(2/3)/v*v**(-2)/v*v*v)**8*(v**(-4)/v*v/(v**(-5)/v))/(v**(-1/3)/v*v)**(-10) assuming v is positive.
v**(-12)
Simplify (((y/(y/y**(2/5)))**38*((y/(y*y*y**1*y*y)*y)/y)/(y*y*y**(-2/13)/y*y))**(-11/4))**(-1/30) assuming y is positive.
y**(836/975)
Simplify ((((c**0*c)**(-3))**(-1/22))**(-36))**42 assuming c is positive.
c**(-2268/11)
Simplify ((r**(2/5))**(-7/2))**(-17)/(r*r**(1/10)*r*(((r*r*r**(-1/3))/r)/r)/r)**(-47) assuming r is positive.
r**(359/6)
Simplify (r*r/(r*r*r/r**34)*r*(r**37*r)/r)/(((r*r**(13/4))/r)/r**(-8/13)) assuming r is positive.
r**(3491/52)
Simplify ((((u/(u**(-2/13)/u*u))/u*u/(u*(u*u**(10/7))/u))**(-12))**(-12/5))**(-1/36) assuming u is positive.
u**(464/455)
Simplify ((y*((y**(4/3)/y)/y*y)/y)/(((y/(y/y**0)*y)/y*y)/y))/((y/(y**0*y))/y)**(1/45)*((y/(y/y**(2/3)))/(y*y/(y/y**(-1/3)*y)))**(-46) assuming y is positive.
y**(-2054/45)
Simplify ((c*c**(-2))/c*c*c**14/c*(((c/((c*c**(-1/5))/c*c))/c)/c)/(((c/(c**(12/7)*c))/c)/c))**(-9) assuming c is positive.
c**(-4383/35)
Simplify (((s**(4/5)*s)/s)**(3/20)*(s*s**26)**(-9))**(-3/37) assuming s is positive.
s**(18216/925)
Simplify ((((y**(-2/11)*y)/y*y/y**4)/(y**(1/5)/(y/(y**(-3)/y)*y)))**(6/25))**37 assuming y is positive.
y**(31968/1375)
Simplify ((t**(-11))**(5/6)*(t**(-12))**20)** | {
"pile_set_name": "DM Mathematics"
} |
n factor of 1556 and 25504396.
1556
Calculate the highest common divisor of 7095 and 10792785.
645
What is the highest common factor of 3363199 and 2337746?
7171
What is the highest common factor of 355248834 and 1506?
1506
Calculate the highest common factor of 20676 and 11064.
12
What is the highest common divisor of 5 and 1333964240?
5
Calculate the highest common factor of 18468 and 2140388.
76
Calculate the greatest common factor of 3164 and 1369396.
28
Calculate the greatest common divisor of 2 and 16306.
2
What is the highest common factor of 13 and 1615400475?
13
Calculate the greatest common divisor of 889820 and 580.
20
What is the highest common divisor of 42 and 27345801?
21
What is the greatest common divisor of 9993314 and 238?
34
Calculate the greatest common divisor of 27429048 and 40.
8
What is the greatest common factor of 4221 and 943159?
469
Calculate the highest common factor of 26 and 647097802.
26
What is the highest common divisor of 7334608 and 4628704?
6992
Calculate the greatest common factor of 142846 and 10102202.
3322
Calculate the highest common factor of 19969 and 4655.
19
What is the highest common divisor of 1257 and 4888054?
419
Calculate the highest common divisor of 2538 and 15330789.
1269
Calculate the highest common factor of 240 and 35723920.
80
What is the greatest common divisor of 12814 and 99502?
86
What is the greatest common divisor of 17224 and 4247869?
2153
Calculate the greatest common factor of 6457296 and 4002.
138
What is the greatest common divisor of 323358464 and 1040?
208
What is the highest common factor of 261 and 235075131?
261
What is the greatest common factor of 22997601 and 954?
477
What is the greatest common divisor of 100233689 and 97?
97
Calculate the highest common divisor of 118048596 and 848.
212
Calculate the highest common factor of 3436 and 7790271.
859
What is the highest common factor of 81484 and 5172667?
1567
Calculate the highest common factor of 132 and 34243.
11
Calculate the greatest common divisor of 8 and 116449888.
8
Calculate the greatest common factor of 117 and 15786537.
39
Calculate the greatest common divisor of 147828 and 23876.
508
Calculate the greatest common divisor of 4720 and 191120470.
590
Calculate the highest common factor of 630119703 and 53.
53
Calculate the greatest common factor of 4590302 and 282752.
4418
What is the highest common factor of 142701 and 2754?
3
What is the greatest common divisor of 360 and 50598360?
360
Calculate the greatest common factor of 4716591 and 20163.
1551
What is the greatest common divisor of 63 and 14646912?
21
Calculate the highest common divisor of 340 and 240535.
5
What is the greatest common factor of 22659 and 21504?
21
What is the greatest common divisor of 28 and 22119860?
28
What is the greatest common divisor of 3106218 and 61774?
922
What is the highest common factor of 2551 and 796705361?
2551
What is the highest common factor of 18898068 and 6?
6
Calculate the highest common divisor of 70836404 and 2316.
772
Calculate the greatest common divisor of 5395 and 19630.
65
Calculate the greatest common factor of 539046 and 7.
1
What is the greatest common divisor of 23800 and 11944?
8
Calculate the greatest common divisor of 326124 and 175572.
36
Calculate the highest common divisor of 619522956 and 4797.
4797
Calculate the greatest common factor of 228 and 6041532.
12
What is the highest common factor of 148627991 and 34?
17
Calculate the highest common divisor of 18393406 and 608.
38
Calculate the greatest common factor of 1564 and 2172277.
17
What is the greatest common factor of 216198657 and 28584?
3573
What is the highest common factor of 109890074 and 102?
34
Calculate the highest common divisor of 1440027 and 57276.
387
Calculate the greatest common divisor of 47641549 and 301.
43
What is the highest common divisor of 7548762 and 624?
78
Calculate the greatest common divisor of 2612050 and 5236.
238
Calculate the greatest common divisor of 11075592 and 60.
12
What is the highest common divisor of 112877624 and 16?
8
Calculate the highest common divisor of 1131 and 617513.
13
What is the highest common divisor of 190 and 472620?
10
Calculate the highest common factor of 180120692 and 542.
542
What is the highest common divisor of 2966886 and 143?
13
What is the highest common divisor of 233604 and 100926?
1134
Calculate the greatest common factor of 17016 and 21954.
6
What is the greatest common divisor of 9351 and 1368?
9
Calculate the greatest common divisor of 16094 and 2899.
13
What is the greatest common divisor of 166218772 and 4?
4
What is the greatest common factor of 1788866 and 1662?
554
Calculate the greatest common factor of 12965935 and 5.
5
Calculate the greatest common factor of 135 and 488535.
15
What is the greatest common divisor of 384 and 1608450?
6
What is the highest common divisor of 3691872 and 6102?
54
What is the greatest common divisor of 11124 and 53028?
108
Calculate the greatest common divisor of 14717682 and 103887.
1071
What is the greatest common factor of 71839 and 1558437?
361
What is the greatest common factor of 6797030 and 730?
730
Calculate the highest common factor of 238 and 264754.
14
What is the highest common divisor of 14385 and 39552?
3
Calculate the highest common factor of 1675180 and 949.
13
What is the greatest common factor of 13926473 and 22?
11
Calculate the highest common factor of 5921 and 54965407.
191
Calculate the highest common factor of 65773008 and 60.
12
What is the highest common divisor of 29514470 and 3277?
113
What is the greatest common factor of 28582077 and 138?
69
Calculate the greatest common factor of 18704 and 823312.
112
Calculate the highest common divisor of 1093 and 10626146.
1093
What is the greatest common divisor of 9037446 and 6991974?
9834
What is the highest common factor of 192063 and 2263?
73
Calculate the greatest common divisor of 15704 and 1140805.
151
What is the greatest common factor of 38969 and 224371?
133
Calculate the highest common divisor of 233158093 and 1337.
1337
What is the highest common factor of 197276445 and 7923?
417
Calculate the highest common factor of 462 and 609378.
462
Calculate the highest common divisor of 37801253 and 20251.
1841
Calculate the highest common factor of 1327153 and 5587.
37
Calculate the greatest common factor of 9 and 35021583.
9
What is the highest common factor of 28215878 and 801562?
4478
What is the highest common divisor of 29464 and 441621164?
14732
Calculate the highest common divisor of 2499 and 508249119.
2499
Calculate the highest common divisor of 338 and 5315106446.
338
Calculate the highest common divisor of 4996206 and 54.
18
Calculate the highest common divisor of 1496583 and 4653.
99
What is the highest common divisor of 1005514 and 3864?
46
What is the highest common factor of 958493 and 703?
19
What is the greatest common divisor of 21770184 and 928?
232
What is the highest common factor of 117562101 and 57?
57
What is the greatest common divisor of 183 and 46893811?
61
What is the highest common factor of 67 and 170048077?
67
What is the greatest common factor of 1677 and 3154658364?
1677
Calculate the highest common divisor of 206219440 and 56.
56
What is the highest common factor of 13070 and 255050?
10
What is the highest common factor of 4379 and 1010737?
29
Calculate the greatest common divisor of 8639013 and 44799.
327
What is the greatest common factor of 68 and 724128?
4
What is the highest common divisor of 114 and 240666388?
38
Calculate the highest common factor of 5528519 and 1343.
17
What is the greatest common divisor of 15463296 and 1116?
1116
What is the greatest common divisor of 23 and 25635892?
23
What is the highest common factor of 15667580 and 40?
20
What is the greatest common divisor of 6550905 and 45?
15
Calculate the greatest common divisor of 294 and 233256093.
21
Calculate the highest common divisor of 232 and 80861272.
8
Calculate the highest common factor of 11590062 and 3618.
402
Calculate the greatest common factor of 28712981 and 21208.
2651
What is the greatest common factor of 8580512 and 2176?
544
Calculate the highest common factor of 14201 and 42888311.
1291
What is the greatest common divisor of 710 and 34747 | {
"pile_set_name": "DM Mathematics"
} |
alculate the highest common divisor of 155 and 95.
5
What is the greatest common divisor of 484280 and 140?
20
Calculate the greatest common factor of 108 and 17136.
36
What is the highest common factor of 6107 and 3546?
197
What is the greatest common factor of 5775 and 30?
15
Calculate the highest common factor of 1383 and 93.
3
What is the greatest common divisor of 221 and 20434?
17
What is the greatest common factor of 1872 and 4797?
117
What is the highest common factor of 1622929 and 539?
539
What is the highest common factor of 9022 and 1681562?
694
What is the highest common divisor of 28 and 49252?
28
What is the greatest common factor of 53292 and 780?
12
Calculate the greatest common factor of 2710 and 1030.
10
Calculate the highest common factor of 24928 and 14592.
608
Calculate the highest common divisor of 15045 and 553125.
885
Calculate the highest common factor of 340 and 45764.
68
Calculate the highest common factor of 1354383 and 1098.
549
What is the highest common factor of 120076 and 99?
11
Calculate the highest common factor of 140 and 502390.
70
What is the highest common factor of 5763 and 867?
51
Calculate the highest common divisor of 214 and 6741.
107
What is the greatest common divisor of 52 and 364?
52
What is the greatest common divisor of 180 and 232515?
45
What is the greatest common factor of 22953203 and 91?
91
Calculate the greatest common factor of 47344 and 704.
176
What is the greatest common divisor of 111664 and 96?
16
What is the highest common divisor of 815 and 40913?
163
Calculate the highest common factor of 156 and 1374789.
39
Calculate the highest common divisor of 24745 and 245.
245
What is the greatest common factor of 514710 and 10320?
1290
Calculate the highest common divisor of 204351 and 1369.
37
What is the greatest common divisor of 600262 and 26?
26
What is the greatest common factor of 3393 and 783?
261
What is the highest common divisor of 2237314 and 706?
706
What is the greatest common divisor of 20091 and 4107?
111
Calculate the greatest common factor of 27736 and 88.
8
What is the greatest common divisor of 77385 and 1407?
1407
What is the greatest common factor of 20 and 63692?
4
Calculate the highest common divisor of 8383 and 6565.
101
Calculate the greatest common factor of 4251088 and 272.
272
What is the highest common factor of 1416387 and 21?
21
What is the highest common divisor of 2004 and 516?
12
Calculate the greatest common factor of 600075 and 189.
189
Calculate the highest common factor of 2 and 1386194.
2
What is the greatest common factor of 160875 and 42375?
375
What is the greatest common factor of 1275 and 2400?
75
What is the greatest common divisor of 16435 and 10?
5
What is the greatest common divisor of 2944 and 297896?
184
What is the highest common factor of 333960 and 110?
110
Calculate the highest common divisor of 1874654 and 114.
38
What is the greatest common divisor of 627 and 106647?
57
Calculate the greatest common divisor of 23292 and 684.
36
Calculate the highest common factor of 63 and 271677.
21
Calculate the highest common factor of 3825 and 747.
9
Calculate the highest common factor of 1416 and 1888.
472
What is the highest common factor of 34 and 413083?
17
What is the highest common divisor of 2048 and 47232?
128
What is the highest common factor of 410896 and 976?
976
Calculate the greatest common divisor of 25 and 160.
5
What is the greatest common factor of 2283593 and 1105?
221
Calculate the highest common factor of 1750155 and 495.
165
What is the greatest common divisor of 1620 and 1164?
12
What is the highest common factor of 4731 and 48?
3
What is the greatest common divisor of 153725 and 429?
143
What is the greatest common divisor of 239169 and 42?
21
What is the highest common factor of 481926 and 186?
186
Calculate the greatest common divisor of 37008 and 1285.
257
Calculate the greatest common divisor of 2456 and 5225140.
1228
Calculate the highest common divisor of 152664 and 24.
24
Calculate the greatest common divisor of 6523245 and 3.
3
Calculate the highest common factor of 20 and 99695.
5
What is the greatest common factor of 317124 and 19872?
828
Calculate the greatest common factor of 14 and 673127.
7
Calculate the greatest common factor of 207808 and 1910.
382
What is the highest common factor of 126 and 473326?
14
Calculate the greatest common divisor of 1859 and 3.
1
Calculate the highest common divisor of 87 and 1812.
3
What is the highest common factor of 5429 and 712?
89
Calculate the highest common divisor of 3018 and 18.
6
Calculate the highest common divisor of 86230 and 1160.
10
Calculate the greatest common factor of 63424 and 128.
64
What is the greatest common factor of 2739 and 99?
33
What is the greatest common divisor of 960840 and 7480?
680
Calculate the highest common divisor of 1600587 and 243.
27
What is the highest common divisor of 331942 and 1768?
442
Calculate the highest common divisor of 2408 and 74132.
172
Calculate the greatest common factor of 1460 and 2993.
73
What is the highest common factor of 83334 and 561?
51
What is the greatest common divisor of 9874 and 44?
2
Calculate the greatest common divisor of 7452 and 37467.
207
Calculate the greatest common divisor of 384940 and 90.
10
Calculate the greatest common factor of 283 and 604771.
283
Calculate the greatest common factor of 7752 and 748.
68
What is the highest common factor of 4815 and 210?
15
Calculate the highest common divisor of 168 and 4984644.
84
What is the highest common divisor of 1056 and 79728?
528
What is the highest common divisor of 316370 and 15?
5
What is the greatest common factor of 1828 and 2524?
4
Calculate the greatest common factor of 7310 and 544.
34
What is the highest common factor of 83343 and 117?
39
Calculate the highest common divisor of 2090 and 8151.
209
What is the greatest common factor of 251163 and 33?
33
What is the greatest common divisor of 302652 and 72?
36
What is the highest common divisor of 18705 and 2610?
435
Calculate the highest common factor of 13056 and 969.
51
What is the highest common factor of 3761623 and 761?
761
Calculate the highest common divisor of 42624 and 360.
72
What is the greatest common factor of 249872 and 392?
56
Calculate the greatest common divisor of 3762 and 89946.
342
Calculate the greatest common factor of 120212 and 492.
164
Calculate the greatest common factor of 58 and 808.
2
Calculate the highest common divisor of 173088 and 108.
36
Calculate the greatest common factor of 1078 and 1088192.
98
What is the highest common divisor of 3304 and 88087?
59
Calculate the highest common divisor of 528 and 318032.
176
What is the greatest common divisor of 1539 and 34587?
81
What is the greatest common divisor of 505 and 534189?
101
What is the greatest common divisor of 11 and 127226?
11
What is the highest common factor of 9 and 254481?
3
What is the greatest common factor of 852 and 86620?
284
Calculate the greatest common factor of 3323 and 101.
1
What is the greatest common divisor of 84197 and 538?
269
What is the highest common divisor of 4788 and 2988?
36
What is the highest common factor of 1 and 9551?
1
Calculate the highest common divisor of 390667 and 227.
227
What is the greatest common factor of 1132606 and 47?
47
Calculate the greatest common factor of 2900 and 12122.
58
What is the highest common factor of 138 and 52486?
46
What is the greatest common divisor of 5 and 434960?
5
Calculate the greatest common divisor of 6161 and 707.
101
What is the highest common factor of 67680 and 2088?
72
Calculate the greatest common divisor of 1026 and 43510.
38
Calculate the greatest common factor of 2299 and 5643.
209
What is the highest common divisor of 363948 and 312?
156
What is the highest common factor of 1626105 and 93?
93
What is the greatest common divisor of 346480 and 10370?
610
What is the highest common divisor of 4438 and 187664?
634
Calculate the highest common factor of 13951 and 28.
7
Calculate the greatest common divisor of 136587 and 165.
33
What is the greatest common divisor of 2032258 and 959?
137
Calculate the highest common divisor of 4818 and 21024.
438
What is the greatest common factor of 432651 and 29?
29
Calculate the greatest co | {
"pile_set_name": "DM Mathematics"
} |
**2 + (-5 + sqrt(176) - (1*sqrt(1100))**2).
-441989/400 + 4*sqrt(11)
Simplify 2 + (sqrt(726) + sqrt(726)*3 + sqrt(726))/sqrt(3).
2 + 55*sqrt(2)
Simplify (sqrt(2) - (-1*sqrt(24))/sqrt(12)) + -3.
-3 + 2*sqrt(2)
Simplify -2*(1 + sqrt(38)/sqrt(2))*-1*6.
12 + 12*sqrt(19)
Simplify (0 + -2*sqrt(1700) + sqrt(1700) + sqrt(1700) + sqrt(1700) + -1*-3*sqrt(1700))**2.
27200
Simplify sqrt(228)/(sqrt(48)/sqrt(4))*2.
2*sqrt(19)
Simplify sqrt(68) + (-1*sqrt(68))**2*-6 + -3.
-411 + 2*sqrt(17)
Simplify (-2*sqrt(1375) + sqrt(1375))/sqrt(11) - ((sqrt(5) - sqrt(45)*-1) + -1 + sqrt(180))**2.
-501 + 15*sqrt(5)
Simplify (1*sqrt(2430))/sqrt(10) + ((sqrt(132)/sqrt(4))/sqrt(11) - sqrt(3))*6.
9*sqrt(3)
Simplify (sqrt(2)*2 - sqrt(2)) + 5 + 1 + 1.
sqrt(2) + 7
Simplify 2*(5*(sqrt(68) - sqrt(68)*-2) + sqrt(68))/(sqrt(8)/sqrt(2)*5).
32*sqrt(17)/5
Simplify sqrt(20)/(sqrt(4)*-1*-2).
sqrt(5)/2
Simplify -3 + (sqrt(75) - (6*sqrt(75)*1 + sqrt(75) - sqrt(75))).
-25*sqrt(3) - 3
Simplify (-2*sqrt(84)*-2 - sqrt(84))/(sqrt(768)*1).
3*sqrt(7)/8
Simplify (-2 + sqrt(567) + sqrt(567))**2 + (sqrt(7)*-4)**2*5.
-72*sqrt(7) + 2832
Simplify 2 + (4 + 1 + sqrt(1331))**2 + (2*sqrt(1331))**2 + -3.
110*sqrt(11) + 6679
Simplify (-2*sqrt(84)*3)/(1*sqrt(12)*1).
-6*sqrt(7)
Simplify -4*((sqrt(68)*-3*-5)**2 + sqrt(68) - sqrt(68)).
-61200
Simplify 0 + (sqrt(85)*-2 - sqrt(85))/sqrt(5) + -2*sqrt(612).
-15*sqrt(17)
Simplify (sqrt(275) - ((6*-4*sqrt(275))**2 + sqrt(275)))*2.
-316800
Simplify (-2*(-5 + sqrt(33)/sqrt(3) + -2) + 0)**2.
-56*sqrt(11) + 240
Simplify 6*(sqrt(54)/sqrt(2) - sqrt(27))/sqrt(9)*2.
0
Simplify (5 + sqrt(130)/sqrt(10))**2 - (-1 + (sqrt(832) - sqrt(13)) - sqrt(13))**2.
-431 + 22*sqrt(13)
Simplify (4*1*sqrt(1700)*-3)**2.
244800
Simplify (sqrt(84)/sqrt(3))**2 + (sqrt(147)/sqrt(3))/sqrt(7) + 1.
sqrt(7) + 29
Simplify ((sqrt(2736) - sqrt(2736)*1)*3)**2*-4.
0
Simplify 4 + sqrt(175) + sqrt(175)*2 + 5.
9 + 15*sqrt(7)
Simplify ((sqrt(121) + (sqrt(121) + (sqrt(121) - -1*sqrt(121) - sqrt(121)) - sqrt(121) - sqrt(121)))/sqrt(11) + sqrt(11))*5.
10*sqrt(11)
Simplify (((sqrt(19) + -1 - sqrt(19))*-5)**2 - -1*(1 + sqrt(19))) + -5 + sqrt(931)*1.
21 + 8*sqrt(19)
Simplify (4 + 1 + sqrt(3) + 4)*-2.
-18 - 2*sqrt(3)
Simplify (sqrt(24) - (1*sqrt(48))/sqrt(2))/(sqrt(300)*2 - sqrt(300)).
0
Simplify (sqrt(112) + (sqrt(112) - (0 + sqrt(112))))*6.
24*sqrt(7)
Simplify sqrt(30)/sqrt(96) + (sqrt(5) - sqrt(45)/sqrt(9))*4.
sqrt(5)/4
Simplify -3 + 3*(sqrt(300) + (-1*sqrt(300))**2).
30*sqrt(3) + 897
Simplify ((sqrt(16) + sqrt(48)/sqrt(3)*4)/sqrt(8) + 1)**2.
10*sqrt(2) + 51
Simplify (2*(sqrt(637)*3 + 4))**2.
672*sqrt(13) + 22996
Simplify (6*1*sqrt(114) + sqrt(114))/sqrt(6).
7*sqrt(19)
Simplify 1 + (1 + sqrt(304))**2.
8*sqrt(19) + 306
Simplify (-1 + 1*sqrt(300) + sqrt(300) - (0 + sqrt(300)*-2))**2.
-80*sqrt(3) + 4801
Simplify (0 + -3*(sqrt(4608) - sqrt(4608)*2))**2.
41472
Simplify (sqrt(12)/(sqrt(6) + sqrt(24)) + 5)*4.
4*sqrt(2)/3 + 20
Simplify (sqrt(3)*-5*-6 - (sqrt(45)/sqrt(5) + sqrt(9))/sqrt(3))**2.
2352
Simplify (sqrt(228)*-2*6)/sqrt(12).
-12*sqrt(19)
Simplify sqrt(700) + (sqrt(700) - (sqrt(700) + -2 + sqrt(700))) + 5 + sqrt(700).
7 + 10*sqrt(7)
Simplify (-2*2*sqrt(128) + -5 + 0 + sqrt(128))**2.
240*sqrt(2) + 1177
Simplify (sqrt(171) - (sqrt(171) + -1)) + -1 - (1 + sqrt(171))**2*1.
-172 - 6*sqrt(19)
Simplify (-2 + sqrt(192))**2*1 - sqrt(192).
-40*sqrt(3) + 196
Simplify (((sqrt(70) - ((sqrt(70) - (sqrt(70)*-2 + sqrt(70))) + sqrt(70))) + sqrt(70) - sqrt(70))*5)/(sqrt(1000)*1).
-sqrt(7)
Simplify sqrt(816)/sqrt(3) + (-2*sqrt(187))/sqrt(11).
2*sqrt(17)
Simplify -3*((sqrt(84) + (-2*sqrt(84) - sqrt(84)))*-4)/(-6*-2*sqrt(12) + sqrt(12)).
-24*sqrt(7)/13
Simplify (3*((sqrt(187) + 1*sqrt(187) - sqrt(187)) + sqrt(187)))/((-3*sqrt(132))/sqrt(12)).
-2*sqrt(17)
Simplify (sqrt(448) + (sqrt(448) - 1*sqrt(448))*2 + sqrt(448) + sqrt(448))**2.
4032
Simplify (sqrt(1944)/sqrt(9))/(sqrt(2) + sqrt(72)*4).
6*sqrt(3)/25
Simplify (sqrt(33) + (-3*sqrt(33) - sqrt(33)) + sqrt(33))/sqrt(11) - (sqrt(75) + (4 + sqrt(75) - sqrt(75))**2).
-16 - 7*sqrt(3)
Simplify ((3 + sqrt(432)*-6)*-3)**2.
-3888*sqrt(3) + 140049
Simplify -1 + (sqrt(7) - sqrt(56)/sqrt(8)) + sqrt(7) + -5.
-6 + sqrt(7)
Simplify 2 + (sqrt(153)*-1*-1)/sqrt(9).
2 + sqrt(17)
Simplify ((-1*((sqrt(88) - sqrt(88)*4) + sqrt(88)))/sqrt(8))**2.
44
Simplify (5*sqrt(153) - (sqrt(2448) - (sqrt(2448) + 1*sqrt(2448))))**2.
12393
Simplify (-5*(-1 + sqrt(320)))**2 - sqrt(320) - (sqrt(320) - 2*sqrt(320)*-1).
-432*sqrt(5) + 8025
Simplify (sqrt(468) - ((sqrt(468) + -4)**2 + sqrt(468)))*6.
-2904 + 288*sqrt(13)
Simplify (sqrt(2240)*-1)/(sqrt(240)/sqrt(12)).
-4*sqrt(7)
Simplify (1*sqrt(105)/sqrt(3))/(sqrt(63)/(sqrt(9) + -2*sqrt(9))).
-sqrt(5)
Simplify ((1 + sqrt(5) + sqrt(5) + 2*sqrt(5) - (-5 + sqrt(45))) + 2)**2.
16*sqrt(5) + 69
Simplify (1 + -6*(sqrt(1900) + 2 + -5))**2.
-2280*sqrt(19) + 68761
Simplify -1 + sqrt(56)/sqrt(200).
-1 + sqrt(7)/5
Simplify (sqrt(1700) + -1)*-3.
-30*sqrt(17) + 3
Simplify (2*sqrt(912))/(sqrt(363) - 4*sqrt(363)).
-8*sqrt(19)/33
Simplify -1 + (sqrt(125) - 2*sqrt(125))**2 + 1.
125
Simplify (4 + sqrt(125))**2*1.
40*sqrt(5) + 141
Simplify sqrt(19)*1*-4 - sqrt(76)/(sqrt(4)*1).
-5*sqrt(19)
Simplify sqrt(54)/sqrt(2) + sqrt(3) + sqrt(3) + (sqrt(24)/sqrt(4) + sqrt(6))/sqrt(2).
7*sqrt(3)
Simplify sqrt(8)/sqrt(4)*4 + 0.
4*sqrt(2)
Simplify -3*(-5 + (sqrt(396)*-1)**2).
-1173
Simplify (0 + (sqrt(13)*3)**2)*-1.
-117
Simplify (-3*sqrt(245)*1)**2.
2205
Simplify (3 + sqrt(38)/sqrt(2) - sqrt(95)/sqrt(5)*6)**2.
-30*sqrt(19) + 484
Simplify ((sqrt(19) - (sqrt(38)/sqrt(2) + -5) - (sqrt(1216)*-2 - sqrt(1216))) + -5)**2.
10944
Simplify ((sqrt(2432) - (sqrt(2432) + sqrt(2432)*1 - sqrt(2432)) - sqrt(38))/sqrt(2))**2*-2.
-38
Simplify (sqrt(396) - (sqrt(396) + -1)) + sqrt(396) + 1 + (3*sqrt(396)*2)**2.
6*sqrt(11) + 14258
Simplify 3 + (sqrt(17) + 2 + -1)**2 + 0.
2*sqrt(17) + 21
Simplify sqrt(5) - sqrt(240)/sqrt(12) - -1*sqrt(80).
3*sqrt(5)
Simplify (5 + sqrt(252)*-4)**2.
-240*sqrt(7) + 4057
Simplify ((2*sqrt(121)*3 + sqrt(121))/(sqrt(88)/sqrt(200)))**2.
13475
Simplify (-3*(-1 + sqrt(19)) - (sqrt(19) + sqrt(931) + -4))**2.
-154*sqrt(19) + 2348
Simplify (sqrt(11) - (sqrt(77)*1)/sqrt(7))*-4.
0
Simplify (3*sqrt(735) + sqrt(15))/sqrt(5).
22*sqrt(3)
Simplify 3*(sqrt(52) + 0 + sqrt(52) - ((sqrt(13) - sqrt(52) - sqrt(13))*3 - sqrt(13))**2).
-1911 + 12*sqrt(13)
Simplify 3*((sqrt(833) + sqrt(833)*-2)**2 - sqrt(833)) + 3.
-21*sqrt(17) + 2502
Simplify -6*(-1*sqrt(52))/sqrt(4).
6*sqrt(13)
Simplify (sqrt(405) + 0)**2 - (sqrt(450)/sqrt(10))**2.
360
Simplify (((sqrt(98)/sqrt(2) + sqrt(49))/sqrt(7) - (sqrt(847) + 1)) + 3)**2 + 0.
-36*sqrt(7) + 571
Simplify sqrt(13) - (sqrt(13) - (sqrt(117) + 2)) - -1*sqrt(52).
2 + 5*sqrt(13)
Simplify 1 + 0 + sqrt(19) + sqrt(209)/sqrt(44).
1 + 3*sqrt(19)/2
Simplify (((3*sqrt(1872) - sqrt(1872)) + 2)*-6)**2.
3456*sqrt(13) + 269712
Simplify (sqrt(4235) + 2*sqrt(4235) - sqrt(4235))/sqrt(5).
22*sqrt(7)
Simplify 4*(sqrt(704) + 0)**2.
2816
Simplify 4*((sqrt(684)*-2)**2 - ((sqrt(19) - sqrt(76)) + 1)).
4*sqrt(19) + 10940
Simplify -6*(3 + sqrt(5)) + 0.
-18 - 6*sqrt(5)
Simplify (4*3*sqrt(132))/((sqrt(48) - sqrt(12))*-5).
-12*sqrt(11)/5
Simplify (sqrt(153)/(sqrt(144)/sqrt(4)) + (-1*sqrt(2057) - (3 + sqrt(272))))**2.
87*sqrt(17) + 14333/4
Simplify sqrt(12)/sqrt(150) + 2 + 1.
sqrt(2)/5 + 3
Simplify (4*(-1*sqrt(931) + sqrt(931)))**2.
0
Simplify ((sqrt(33) + -2*sqrt(297) + sqrt(33))/((sqrt(30)*-1)/sqrt(10))*1)**2.
176
Simplify (sqrt(112)/(sqrt(2)*-2))/sqrt(8).
-sqrt(7)/2
Simplify sqrt(14)/(sqrt(12)/sqrt(96)).
4*sqrt(7)
Simplify 3 + (sqrt(300)*1 - (sqrt(75) + sqrt(75)*-1))**2.
303
Simplify (sqrt(104)/(sqrt(48)/sqrt(6)) + -5 + 2)**2.
-6*sqrt(13) + 22
Simplify (sqrt(77)*-1 + sqrt(77))/sqrt(11) - ((sqrt(98)/sqrt(2))/sqrt(7))**2.
-7
Simplify (sqrt(637) + sqrt(637) + sqrt(637) + -1 + 3)**2.
84*sqrt(13) + 5737
Simplify (sqrt(200) - (sqrt(200) + 0) - sqrt(200))**2 + 3 + ((-1 + sqrt(2) + sqrt(2))*-4 - sqrt(2))**2.
-72*sqrt(2) + 381
Simplify -6*(1*4*sqrt(52))**2.
-4992
Simplify 5 + ((sqrt(1900) - (sqrt(1900) + -5*(1 + sqrt(1900)))) + -1)**2.
400*sqrt(19) + 47521
Simplify ((sqrt(170) - (-3*sqrt(170) + sqrt(170)))/sqrt(5))/(sqrt(14)/sqrt(7)*6 + sqrt(2)).
3*sqrt(17)/7
Simplify sqrt(27)/(sqrt(9)*1) - (sqrt(120)/sqrt(5))/sqrt(8).
0 | {
"pile_set_name": "DM Mathematics"
} |
/(-2). Let n = 0.2 - 0.1. What is the third smallest value in -0.2, b, n?
n
Let d = -371/330 - -16/55. What is the biggest value in d, 3, 4?
4
Let w = 148.1 - 148. Let r = 2 - 1. Let i = r - 2. What is the third biggest value in i, 4, w?
i
Let n = -7.031 + 0.031. What is the second smallest value in 8, -2/11, n?
-2/11
Suppose -5*o + o = -20. Suppose -z = o*v + 3, 0*v - 6 = -3*v + 2*z. Let y = 1/3 - v. What is the second biggest value in y, -3, 0.5?
y
Let h be (31/(-93))/((-17)/(-6)). Let z = 13 - 9. Which is the smallest value? (a) -3 (b) z (c) -2/5 (d) h
a
Let i = 2/791 - -1572/3955. Which is the fourth smallest value? (a) -5 (b) i (c) 0.09 (d) -4
b
Let y = -1158/7 + 7361/42. Which is the smallest value? (a) -4 (b) y (c) -3/8
a
Suppose 14*k = 9*k + 20. Let u = 1.8 - 11.8. Which is the second smallest value? (a) u (b) 1 (c) k (d) 1/3
d
Let t be (-3 + (-84)/(-9))/((-12)/9). Let h = t - -5. What is the smallest value in h, 0, -1/2?
-1/2
Let o be (-6)/15 - (-228)/795. Let m be 78/14 + -3 + 13 + -16. What is the third biggest value in o, m, 3?
m
Let p = 0.2101 + -0.6101. What is the biggest value in -3, -4/23, p?
-4/23
Let v = -67.7 + 68.2. Which is the third biggest value? (a) -0.1 (b) v (c) 6 (d) 3
b
Let r = -7344/115 - -318/5. Let y = r - -65/161. Let t be 93/(-18) + (-1 - -6). What is the smallest value in 2, t, y?
t
Let m = -2.9 - -3. Let i(w) = 4 + 9*w - 6*w + w - 3. Let g be i(1). Which is the third smallest value? (a) -3/5 (b) m (c) g
c
Let j be 0 - (-6)/8*107/(-21). Let y = -18/7 - j. Which is the second smallest value? (a) -2 (b) y (c) -4
a
Let d = -0.4 + -1.6. Let k be (2 - -2)/(0 + 1). Suppose k*j + 8 = 0, -4*p + j - 18 = -0*j. What is the third smallest value in 5, d, p?
5
Let n = -7971/17 + 469. Which is the third biggest value? (a) 0.2 (b) n (c) 2
b
Let n = -0.019 + -7.981. Let r = 16.3 - 16.7. Which is the fourth biggest value? (a) 1 (b) 3 (c) r (d) n
d
Let q = 1 + -1.1. Which is the third biggest value? (a) q (b) 5 (c) -0.3 (d) -2/3
c
Let r = 30 + -11. Let p = -119 - -97. Let u = r + p. Which is the second smallest value? (a) u (b) 6 (c) -1/2
c
Let m = 2088/5 + -432. What is the smallest value in -0.4, m, -1, -1/5?
m
Suppose -11*j = -8*j + k + 6, 2*j = 5*k + 13. What is the smallest value in j, -12, 3/2, -0.2?
-12
Let p be (-1)/(-2)*(-1 - -61). Let y be (4/40)/(8/p). Let k be 3 - (0 + 1) - 3. What is the third smallest value in 0.4, k, y?
0.4
Let n = 492.9 + -493. Which is the biggest value? (a) n (b) 26 (c) -0.4 (d) 0
b
Let y = -17/4 + 47/12. Let j = -2 - -1.6. Let m = 0.5 + -0.3. Which is the third biggest value? (a) j (b) m (c) y
a
Let k = -0.641 + 0.641. Which is the third smallest value? (a) -0.02 (b) k (c) -2 (d) -11
a
Let j = -296/57 - -105/19. Let w = -13 - -4. What is the third biggest value in w, j, 1/4?
w
Let r = 2.062 - 2.362. Which is the third biggest value? (a) r (b) -2 (c) 3 (d) -28
b
Let t = 272/705 - -2/141. Let l = 46.8 - 47. What is the second smallest value in l, t, 2/11?
2/11
Let r(h) = -h**3 - 15*h**2 - 13*h + 19. Let x be r(-14). Let i = -5.04 - -0.04. Which is the biggest value? (a) -0.07 (b) i (c) x
c
Let w = -65.157 - -0.157. Let o = -66 - w. Let r be 5/2 - 1/2. What is the third biggest value in -2, r, o?
-2
Let t = 792 + -791.9. What is the biggest value in 12, t, 5, 0?
12
Let g = 982.06 - 969. Let o = g - 13. Let s = -4.06 + o. What is the biggest value in -1, 0.5, s?
0.5
Let z = -168 - -159. Let v = z + 9.5. What is the biggest value in -0.1, -1, v, -2?
v
Let t = 0.72 - -1.28. Let d = -308/3 + 105. Which is the smallest value? (a) t (b) -3 (c) d
b
Suppose -22*y - 3*o = -17*y, 3*o + 21 = 2*y. What is the third smallest value in 0.3, -2.3, -1, y?
0.3
Suppose 0 = 3*k + 2*a, 3*a + 51 = 2*k + 64. What is the second biggest value in -1, k, 0.4, 0?
0
Let r = -194 - -192. Which is the second biggest value? (a) r (b) 0.5 (c) 8
b
Let r = 93 + -98. Which is the second biggest value? (a) r (b) 4 (c) -361
a
Suppose -2*q + 16 = 25*f - 27*f, 2*q = 5*f + 22. Let p = 4 - 9. Which is the second biggest value? (a) 2/11 (b) f (c) p
b
Let f = 10.34 - 9.44. What is the third smallest value in f, 2/7, -0.3, 5?
f
Let k = 40 - 36. Let r = k + -10. What is the smallest value in r, 1, 0.5?
r
Suppose 6*f + 64 = -4*o + f, -4*o - 2*f = 64. Let a = 46 + o. Let g be 4/(-10) - (-102)/a. What is the third smallest value in -2, g, -1?
g
Let v be (-168)/(-1166) - (-52)/1378. Which is the second smallest value? (a) v (b) 176 (c) 3
c
Let m = -0.18 - -0.05. Let o = m + -7.87. Let s = -7.8 - o. What is the smallest value in s, 0.1, 4?
0.1
Let x = 149 + -147. What is the biggest value in x, -1, -1/3, 2/7?
x
Let d = -491.1 + 491. Which is the second smallest value? (a) 3 (b) -41 (c) d
c
Let l = -46.4 + 46.47. What is the fourth biggest value in 0.1, 2/23, 0.4, l?
l
Let u be ((-66)/33)/(2*-1). What is the third biggest value in 0.3, u, 1/3?
0.3
Let d = 1.1 + -0.3. Let y = -0.047 - -7.147. Let n = -4.1 + y. Which is the biggest value? (a) n (b) d (c) -2
a
Let i = -157/1014 - -1/1014. Which is the fourth biggest value? (a) 0.3 (b) -0.3 (c) i (d) 2/79
b
Let u = 57.076 + -0.076. Let x(y) = -y**3 - y**2 + 2*y. Let m be x(0). What is the fourth smallest value in -0.3, m, -0.4, u?
u
Let x = -1.2 - -1.09. Let m = -1.89 + x. Let v = m + -1. What is the biggest value in 0.3, v, 0.4?
0.4
Let r = -9.2 - -8.2. What is the second smallest value in -4, -12, r?
-4
Let x = 286 - 3149/11. Let z = -25/44 - -9/11. Which is the second biggest value? (a) 4 (b) x (c) z
c
Let u be 4/18 - (-1 - 182/(-126)). Which is the biggest value? (a) -1 (b) 4 (c) u (d) 5
d
Let o = 633 + -628. Which is the fourth smallest value? (a) -11 (b) -4/7 (c) o (d) 0.3
c
Let d = -47/196 - 1/98. What is the smallest value in -3, -2/17, d, 3?
-3
Let j be 28/8 + (-12)/(-8). Suppose 0 = j*g - 10, c = -0*c - 5*g + 5. Let z = 1.1 - 1. What is the second smallest value in c, z, 1/4?
z
Let p = 22 - -23. Let g = p - 44. Which is the biggest value? (a) -4 (b) g (c) -2/15
b
Let h = 17/770 - -4/35. What is the third biggest value in -0.2, -2/11, h?
-0.2
Let a = -0.72 - 2.28. What is the second smallest value in a, 1, 4?
1
Suppose 8*n - 7*n - 3 = 2*t, 0 = -3*t - 3. Which is the third biggest value? (a) -4 (b) n (c) -38 (d) 3
a
Let z = -97 + 96.47. Let x = -4 - -3.97. Let b = z - x. What is the second smallest value in 2, b, -0.1?
-0.1
Let u be (18/(-4) + 0)/(-66). Let n = u - -2/11. Let o = 53 + -48. Which is the second biggest value? (a) n (b) o (c) 2
c
Let j be (5*2)/(18/27). Suppose -4*u - j = u. Which is the second biggest value? (a) 0.12 (b) u (c) 1/9
c
Suppose 5*n - 37 = -4*j, 3 + 4 = -j + 2*n. Which is the smallest value? (a) j (b) 0 (c) 8
b
Let h be 0 - (-11 + 13 - 12/7). Which is the third smallest value? (a) h (b) 3/8 (c) 2/65
b
Suppose 0 = -9*y + 5*y + 20. Let n be 3*(8/6)/1. Let h = -22.4 + 22.3. What is the third smallest value in y, n, h?
y
Let x = -92 - -369/4. Let t = -133/204 + -1/68. What is the second biggest value in 3, t, x?
x
Let i = 0.182 + 2.918. What is the biggest value in 1/3, -1/6, i?
i
Let p = 73 - 66. Let j be 6/21 + (-9)/p. Let y = 1 + -1.3. Which is the second biggest value? (a) y (b) j (c) -1/4
a
Let l be 2/((-66)/201) + 30/5. Let a(t) = -t - 1. Let u(d) = -5*d + 2. Let i(j) = -4*a(j) + u(j). Let s be i(0). What is the second biggest value in l, 0.1, s?
0.1
Let x = -1813 + 3743/2. Let v = 58 - x. Let m = 3 - 2. What is the biggest value in m, v, 5?
5
Let f = -29 + 29.5. Let a = -4.3 - -8.7. Let h = a - 4. What is the second biggest value in 3, f, h?
f
Let u be (4/6)/(50/(-15)). Let i = 80 - 79.8. What is the second biggest value in u, i, 0.3, 5?
0.3
Let q = -0.1 - 0.9. Let n be (8 + (-159)/21)*8/(-12). Which is the fourth biggest value? (a) q (b) 3 (c) n (d) 0
a
Let r = -0.456 - -0.396. Which is the biggest value? (a) 3 (b) -0.2 (c) r
a
Let u = 10 + -9.79. Let m = 0.02 - u. Let n = m - -6.19. Which is the biggest value? (a) -1/3 (b) n (c) 1/6
b
Let q = 11234/50391 - 4/5599. Let z = 1.2 - 0. What is the third smallest value in -0.5, z, q?
z
Let t = 29 + -34. What is the fourth biggest value in t, 2, 3, -68?
-68
Suppose 3*m - 40 = -a, 3*m - 5*a | {
"pile_set_name": "DM Mathematics"
} |
= -298*z - 214*z + 19440 for z.
72
Solve 1983*a - 69092 = 481*a for a.
46
Solve -20529*y = -20515*y + 224 for y.
-16
Solve -30420 = 2311009*p - 2311516*p for p.
60
Solve 17*k + 197 + 92 + 1088 = -255 for k.
-96
Solve -576*t - 324*t + 211*t = -16536 for t.
24
Solve -92*h + 3076 + 3414 = 96*h - 70*h for h.
55
Solve 24*n + 112*n = -157*n - 1917 - 20351 for n.
-76
Solve 4205*v - 2014*v - 32865 = 0 for v.
15
Solve 31*a - 368*a - 2*a - 369 = 30*a for a.
-1
Solve 0 = -152*d - 535*d - 12130 - 236 for d.
-18
Solve 256 = -474*l - 240*l + 56*l + 2888 for l.
4
Solve 0 = -165*c + 1378 + 10667 for c.
73
Solve -515*r + 285*r = -320*r + 1193 + 1057 for r.
25
Solve 2144*s + 32*s - 25276 = -14066 + 125878 for s.
63
Solve -17499*z = -17151*z + 12876 for z.
-37
Solve -40198*w = -40956*w + 33352 for w.
44
Solve 2819*x - 68951 = 97370 for x.
59
Solve -470*n + 12598 = -16*n + 284*n - 2162 for n.
20
Solve -732*r = 21193 + 6623 for r.
-38
Solve 7599 = -4030*u - 100*u - 108041 for u.
-28
Solve 62*q + 563 - 2728 = 1679 for q.
62
Solve -310*g + 1083*g + 57 = -11538 for g.
-15
Solve 439*w = 3913 + 11013 for w.
34
Solve -4824 - 4601 = 470*n + 8435 for n.
-38
Solve 123*o + 1403 + 2384 = 220 for o.
-29
Solve 0 = -255233*n + 255259*n + 744 - 2018 for n.
49
Solve 1165 = -46912218*q + 46912451*q for q.
5
Solve -134000*r + 134684*r - 18468 = 0 for r.
27
Solve -10*p = -87*p + 89*p + 132 for p.
-11
Solve 230*p = -452*p - 228*p - 678*p + 9528 for p.
6
Solve -1656 = -5*i - 975 - 881 for i.
-40
Solve -1722*i + 73270 - 63259 = -86421 for i.
56
Solve -141*d - 62320 = -673*d - 2748*d for d.
19
Solve 574893*j - 576026*j = 0 for j.
0
Solve -6031*p = 5374*p + 775540 for p.
-68
Solve v - 267*v = 66*v + 17928 for v.
-54
Solve -107*w = -571*w - 896*w + 10880 for w.
8
Solve -2831*n - 4549*n - 954*n - 783396 = 0 for n.
-94
Solve -706*d - 1040*d = 1215*d + 28099 + 10394 for d.
-13
Solve -1083 = 88*d + 159*d - 4664 - 2841 for d.
26
Solve 1838 + 4838 = -134*g - 2121 - 449 for g.
-69
Solve 1756*j - 31031 = -1348*j + 283*j for j.
11
Solve 71366*i = 72642*i + 34452 for i.
-27
Solve 314771 = 106*r + 310001 for r.
45
Solve 0 = 218*i - 220*i + 8 + 40 for i.
24
Solve -566 = -517*s + 302*s + 4809 for s.
25
Solve 0 = -507*z + 3466 + 83 for z.
7
Solve -3381*y = -1994*y + 70737 for y.
-51
Solve 1145 + 807 = 360*u - 568 for u.
7
Solve -15*r + 555 = 15*r + 369 - 1374 for r.
52
Solve -722*l + 2179 = -589*l - 3939 for l.
46
Solve 55*u - 387*u - 7004 = 80*u for u.
-17
Solve 165*a + 720 - 1862 - 4168 = 1455 for a.
41
Solve 394*d = 100810 - 133512 for d.
-83
Solve 183*q - 124*q + 137*q - 17680 = -324*q for q.
34
Solve 0 = -2524*y + 20*y - 372*y + 26977 + 125451 for y.
53
Solve -37*j + 25 = -26*j + 13 - 32 for j.
4
Solve 911*w = 5990 + 5853 for w.
13
Solve -3284*a + 124871 = 39487 for a.
26
Solve -460*k - 24133 + 79672 = 1223*k for k.
33
Solve 0 = -195225405*d + 195225546*d - 564 for d.
4
Solve 41036 = 1080*n + 33476 for n.
7
Solve 102*s - 35626 = 40*s + 37013 - 71089 for s.
25
Solve 37916*m - 18952*m = 18957*m + 378 for m.
54
Solve 503*p + 143*p - 50245 = -127*p for p.
65
Solve -18794 = -856*r + 5174 for r.
28
Solve -49531 + 1659 = -2816*h for h.
17
Solve 231*z - 58*z = 47*z + 56*z - 2730 for z.
-39
Solve 0 = -2712*u + 3701*u + 20769 for u.
-21
Solve 2534*m - 1421*m + 62328 = 0 for m.
-56
Solve 0 = 1001*g + 476*g - 2954 for g.
2
Solve 1003*v - 3891*v = -57760 for v.
20
Solve 0 = 144*r - 14084*r - 627300 for r.
-45
Solve 748 = -83585*q + 83619*q for q.
22
Solve -262*w - 1071*w = 716*w - 169345 - 53996 for w.
109
Solve 0 = 151*h + 1510 + 4240 - 3192 + 5445 for h.
-53
Solve 1320 = -63*i + 16 - 145 for i.
-23
Solve 0 = 12*b + 208 - 640 for b.
36
Solve 698*b + 8592 = -598*b + 759*b for b.
-16
Solve 0 = -7233*l + 81693 + 108936 - 311725 - 464777 for l.
-81
Solve 233*i + 273 - 10360 = 133*i + 177*i for i.
-131
Solve 7835 = -224*d + 26203 for d.
82
Solve 1635*b = 2159*b + 29868 for b.
-57
Solve 656*g = 1251*g + 1682*g + 134343 for g.
-59
Solve 532*s + 46091 = -118*s - 6042 - 9617 for s.
-95
Solve 1955*f - 133279 - 39533 = -287*f + 105196 for f.
124
Solve -2352 = 568*o + 12984 for o.
-27
Solve 920*i + 66695 = -1421*i - 382*i - 9549 for i.
-28
Solve 1673*w + 4649*w = -1006*w - 791424 for w.
-108
Solve 57*y + 621*y = -71*y + 32207 for y.
43
Solve 125*x - 6242 = -190*x + 8604 - 7916 for x.
22
Solve -1564 = 795145*f - 795111*f for f.
-46
Solve 59*g = 1949 - 3076 - 2531 for g.
-62
Solve 0 = 2618317*d - 2618281*d - 756 for d.
21
Solve 25836 - 3561 = 803*x - 398*x for x.
55
Solve -284*h + 7097 = 608*h + 350*h - 9049 for h.
13
Solve -699*t + 82257 = 1354*t - 28605 for t.
54
Solve -563*f - 747*f + 5237 = -103*f - 56320 for f.
51
Solve 0 = -44*i + 39184 - 37820 for i.
31
Solve 114*j = -116*j + 238*j + 324 + 60 for j.
-48
Solve 116*i + 130*i - 286*i + 4224 = -128*i for i.
-48
Solve -26416 + 9178 = 1014*t for t.
-17
Solve -733*p + 35173 = -24161 + 7560 - 1002 for p.
72
Solve 4204 - 708 = 819*y - 635*y for y.
19
Solve -43029 = 1123*u + 926*u for u.
-21
Solve 481942 - 89965 = -12988*s - 150814 - 28681 for s.
-44
Solve 512*k + 2669*k - 322 - 285 + 3788 = 0 for k.
-1
Solve -41*x + 794 = -60*x + 205 for x.
-31
Solve -132669 = 5242*v - 331865 for v.
38
Solve 1465*f - 179*f + 1695*f = -18188 - 2679 for f.
-7
Solve -24547*b + 24799*b = 7308 for b.
29
Solve -114337*i + 110627*i - 244860 = 0 for i.
-66
Solve -422*h + 95 = -495 - 254 for h.
2
Solve 2700*p - 17101 = 3049*p for p.
-49
Solve 0 = 473*c + 381*c + 35014 for c.
-41
Solve 30*w + 456*w + 405*w + 14256 = 0 for w.
-16
Solve 1395*t = -5655 - 6514 - 11546 for t.
-17
Solve 58368*v - 116736*v + 58372*v + 290 = 74 for v.
-54
Solve 126519 - 13550 = 13482*i + 36210 - 179399 for i.
19
Solve -26968*f + 13390*f - 15041 = -13409*f for f.
-89
Solve 6623*h = -143712 - 136825 - 62892 - 7590 for h.
-53
Solve -72269 + 73729 = 148*q - 20*q + 18*q for q.
10
Solve 571*x = -16480 - 18351 for x.
-61
Solve -50*c + 4005810 = 4005060 for c.
15
Solve -13*c = 42*c - 2754 + 664 for c.
38
Solve 216*t - 4276 + 1157 = -12407 for t.
-43
Solve 81037 - 53173 = -516*b for b.
-54
Solve 283*v + 16728 = 35123 for v.
65
Solve 0 = -74*t - 74*t + 138*t - 20 for t.
-2
Solve 8843*t + 94824 + 5631 = 699*t - 209017 for t.
-38
Solve -209 - 247 = 18*l + 503 - 113 for l.
-47
Solve 27282*i = 6364*i + 1882620 for i.
90
Solve 2056*u + 85925 = 26301 for u.
-29
Solve -111961 - 111383 = -3102*n for n.
72
Solve -340 - 1306 = -96*w + 2540 + 3782 for w.
83
Solve -995*o + 300*o - 647*o = 77836 for o.
-58
Solve 133872 + 65184 = 2552*k for k.
78
Solve 33*b - 232*b + 14749 = 143*b + b for b.
43
Solve 62783 = 1775*g - 4773 - 67344 for g.
76
Solve 556*x + 10*x - 225*x - 23296 = -75*x for x.
56
Solve -1519*p - 85298 = -29095 for p.
-37
Solve 2258*d + 221970 = -913*d for d.
-70
Solve 702*w = 827*w + 3066 + 4934 for w.
-64
Solve 0 = 524*p + 1299*p + 712*p - 22815 for p.
9
Solve -323*h - 14579 = 12113 - 7398 + 7515 for h.
-83
Solve 31492 = -1859*t + 1748 for t.
-16
Solve 0 = -5222*b + 485005 - 46357 for b.
84
Solve 169*c + 12689492 - 12683746 = 0 for c.
-34
Solve -13895 = 1138*r - 13474 + 11104 + 66997 for r.
-69
Solve -840*p + 1682*p + 155 = 837*p for p.
-31
Solve -3555*v - 3457*v = -7201*v - 8505 for v.
-45
Solve 3208*q + 2952*q = -5755*q - 798305 for q.
-67
Solve 0 = -958*s + 4641*s + 173101 for s.
-47
Solve 3827 - 1220 = 129*a - 6570 + 663 for a.
66
Solve -49*g + 61*g - 177*g - 9760 = -5*g for g.
-61
Solve 640*z = -2304 - 1536 for z.
-6
Solve -241*o - 32727 - 65897 = 1250*o + 50*o for o.
-64
Solve -652*q = -1317*q + 713*q - 1056 for q.
22
Solve -2419*d + 2331*d = 8360 for d.
-95
Solve 2*s - 11*s - 18*s + 1662817 = 1665247 for s.
-90
Solve 3377*d = 3242*d + 6345 for d.
47
Solve -315*r + 1936 = -142*r - 151*r for r.
88
Solve 2090*o - 3462 = 359*o for o.
2
Solve 442*t - 8550 - 4827 + 1443 = 0 for t.
27
Solve -20*n - 188*n + 4310 + 5263 + 3323 = 0 for n.
62
Solve 4157*t = 748*t - 5791*t + 966000 for t.
105
Solve -4371*u = -4435*u + 57 - 761 for u.
-11
Solve -29369 = 454*w + 229*w for w.
-43
Solve -683473 + 346926 + 84168 = -13442*o + 621351 for o.
65
Solve 70*c - 4681 = -3421 for c.
18
Solve -1006*l + 161553 = 1254*l + 62113 for l.
44
Solve 490*a - 75*a = -15738 - 29912 for a.
-110
Solve 359*s + 301*s + 17965 - 1101 = 133*s for s.
-32
Solve -4224 = | {
"pile_set_name": "DM Mathematics"
} |
What is one quarter of a millimeter in micrometers?
250
What is 3700412.1s in hours?
1027.89225
What is 561525.3 months in centuries?
467.93775
Convert 900027.3 hours to nanoseconds.
3240098280000000000
How many microseconds are there in 51/2 of a millisecond?
25500
How many minutes are there in 13964.577 milliseconds?
0.23274295
How many millimeters are there in 17/4 of a meter?
4250
How many centuries are there in 2873472.3 months?
2394.56025
How many litres are there in 8943.364ml?
8.943364
How many millilitres are there in seven halves of a litre?
3500
How many weeks are there in 2.7600699 hours?
0.0164289875
How many micrometers are there in 85.72291nm?
0.08572291
What is seven halves of a milligram in micrograms?
3500
What is 73/4 of a millennium in decades?
1825
How many decades are there in 4794.966 years?
479.4966
How many centuries are there in 0.4710606 years?
0.004710606
How many millilitres are there in thirty-three fifths of a litre?
6600
Convert 184.5156 litres to millilitres.
184515.6
Convert 31597.62ug to grams.
0.03159762
How many nanoseconds are there in 69109.92ms?
69109920000
What is 0.4441629 months in centuries?
0.00037013575
What is seventy-five halves of a litre in millilitres?
37500
How many grams are there in 490377.5mg?
490.3775
What is 1/20 of a milligram in micrograms?
50
How many meters are there in 0.9431924 centimeters?
0.009431924
How many minutes are there in 1/10 of a day?
144
What is twenty-nine halves of a litre in millilitres?
14500
What is 7/4 of a microgram in nanograms?
1750
How many millimeters are there in 7.284931cm?
72.84931
What is 1.293013 years in centuries?
0.01293013
How many millilitres are there in 3/8 of a litre?
375
Convert 0.1392322 grams to kilograms.
0.0001392322
What is four thirds of a week in hours?
224
What is 95.87795 years in centuries?
0.9587795
Convert 57991.85 millennia to years.
57991850
How many litres are there in 565.9046 millilitres?
0.5659046
How many months are there in 129.4804 millennia?
1553764.8
What is 438909.5 litres in millilitres?
438909500
What is 5.012566nm in micrometers?
0.005012566
What is 6.445452l in millilitres?
6445.452
How many months are there in 29/2 of a century?
17400
How many seconds are there in one eighteenth of a day?
4800
What is 4338.721l in millilitres?
4338721
How many nanograms are there in 793167.9 milligrams?
793167900000
How many litres are there in 85.85112ml?
0.08585112
How many millimeters are there in six fifths of a meter?
1200
Convert 90060.9um to kilometers.
0.0000900609
How many months are there in 7/16 of a millennium?
5250
What is 21/2 of a decade in years?
105
What is 9.220623l in millilitres?
9220.623
How many micrometers are there in 3/25 of a centimeter?
1200
What is four fifteenths of a minute in milliseconds?
16000
How many litres are there in 90684.52 millilitres?
90.68452
How many nanograms are there in 81.0103ug?
81010.3
What is 249468.1mm in nanometers?
249468100000
Convert 87.92676 days to minutes.
126614.5344
What is 21/4 of a tonne in kilograms?
5250
What is 6.471745 days in milliseconds?
559158768
What is 0.930913 meters in millimeters?
930.913
How many seconds are there in fourty-two fifths of a hour?
30240
Convert 26020.848 hours to days.
1084.202
What is 34.00279um in kilometers?
0.00000003400279
How many nanoseconds are there in 7/8 of a microsecond?
875
How many nanometers are there in seventeen quarters of a micrometer?
4250
How many microseconds are there in 533097.4ns?
533.0974
How many hours are there in 2.7999306 microseconds?
0.0000000007777585
Convert 324266.95 days to weeks.
46323.85
How many weeks are there in 14.8763538 minutes?
0.00147582875
How many millilitres are there in 11/10 of a litre?
1100
What is 0.1092451l in millilitres?
109.2451
How many seconds are there in 2/9 of a hour?
800
Convert 48.42174 minutes to nanoseconds.
2905304400000
Convert 0.384776kg to milligrams.
384776
Convert 216.3314 micrometers to millimeters.
0.2163314
What is three eighths of a week in hours?
63
How many meters are there in nineteen quarters of a kilometer?
4750
What is 15/4 of a year in months?
45
Convert 296593.8 months to millennia.
24.71615
Convert 9.8547 years to months.
118.2564
How many litres are there in 301.0381ml?
0.3010381
How many nanograms are there in fourty-six fifths of a microgram?
9200
What is 51/4 of a meter in centimeters?
1275
How many millilitres are there in twenty-nine fifths of a litre?
5800
What is 0.2609681ml in litres?
0.0002609681
What is 0.8091477l in millilitres?
809.1477
How many centimeters are there in 9.401895 meters?
940.1895
What is 13/4 of a kilogram in grams?
3250
How many meters are there in 27.14923 nanometers?
0.00000002714923
What is 7/3 of a day in hours?
56
Convert 28.84082m to kilometers.
0.02884082
How many meters are there in 3/50 of a kilometer?
60
What is 59/5 of a milligram in micrograms?
11800
How many nanograms are there in 8087.746 grams?
8087746000000
What is 63803.5 weeks in milliseconds?
38588356800000
How many decades are there in 4558.854 centuries?
45588.54
What is ten sevenths of a week in days?
10
Convert 3.550575 meters to kilometers.
0.003550575
What is seven quarters of a litre in millilitres?
1750
How many years are there in fifty-two fifths of a decade?
104
What is 25/4 of a litre in millilitres?
6250
How many milliseconds are there in 77.33648 hours?
278411328
What is fifty-seven halves of a decade in years?
285
Convert 65503.27m to nanometers.
65503270000000
How many months are there in 659300.2 years?
7911602.4
What is 224739.3 years in decades?
22473.93
What is 6/5 of a century in months?
1440
What is 6593.241cm in millimeters?
65932.41
How many months are there in seven halves of a year?
42
How many seconds are there in one ninth of a week?
67200
Convert 399.7804 minutes to microseconds.
23986824000
How many millimeters are there in 0.0240911cm?
0.240911
What is 23.82208mm in micrometers?
23822.08
What is 30.31235 seconds in microseconds?
30312350
What is 62.22676 years in decades?
6.222676
How many millilitres are there in 1/10 of a litre?
100
What is 32/5 of a milligram in micrograms?
6400
How many months are there in 1/6 of a millennium?
2000
Convert 2594.442 minutes to nanoseconds.
155666520000000
How many years are there in 1/4 of a millennium?
250
How many tonnes are there in 70.223ug?
0.000000000070223
How many minutes are there in 7/6 of a day?
1680
What is three tenths of a litre in millilitres?
300
What is six fifths of a tonne in kilograms?
1200
Convert 31372.9ml to litres.
31.3729
What is 25/4 of a millennium in months?
75000
How many kilometers are there in 3312.131m?
3.312131
What is three fifths of a century in years?
60
What is seven quarters of a litre in millilitres?
1750
Convert 6409.52 kilometers to meters.
6409520
How many nanoseconds are there in 0.993123 seconds?
993123000
What is fourty-seven quarters of a gram in milligrams?
11750
What is twenty-one halves of a kilometer in meters?
10500
Convert 5135.628m to micrometers.
5135628000
What is twenty-seven halves of a century in decades?
135
Convert 6584.812 litres to millilitres.
6584812
How many nanometers are there in thirteen quarters of a micrometer?
3250
What is twenty-one eighths of a microsecond in nanoseconds?
2625
Convert 32656.32 months to decades.
272.136
What is 5/4 of a gram in milligrams?
1250
How many months are there in five quarters of a year?
15
What is 1/10 of a microgram in nanograms?
100
What is 25/4 of a gram in milligrams?
6250
How many minutes are there in 627.3303ms?
0.010455505
What is 6/5 of a century in decades?
12
How many grams are there in 11/8 of a kilogram?
1375
How many seconds are there in one ninth of a day?
9600
What is 13/5 of a century in years?
260
What is 3/25 of a meter in centimeters?
12
What is fifty-seven halves of a gram in milligrams?
28500
How many milligrams are there in twenty-six fifths of a gram?
5200
How many years are there in 1/20 of a century?
5
What is three tenths of a week in minutes?
3024
What is nine tenths of a litre in millilitres?
900
How many millilitres are there in 45/4 of a litre?
11250
Convert 2.314291 tonnes to micrograms.
2314291000000
What is six fifths of a litre in millilitres?
1200
Convert 8 | {
"pile_set_name": "DM Mathematics"
} |
+ -3 + 0.
-12
Calculate 13 + (-17 + 7 + 4 - (28 + -8)).
-13
What is (131 - 73) + -4 + -46?
8
What is the value of 3 + -17 + (6 - 0) - (-22 + 0 - -1)?
13
Evaluate -36 - -121 - (203 - 42).
-76
What is -63 - (-25 + 64 - 44)?
-58
(-23 - -30 - (7 - ((7 - 10) + -9))) + 19
7
-4 + 40 - (-98 - -91)
43
Evaluate 4 + 9 + -1 + (7 + -16 - -13) + 13.
29
Evaluate (103 - 51) + -159 + 31 - (15 - (-1 - -2)).
-90
What is the value of 2 - 0 - (7 + (5 + 60 - (12 + 0)))?
-58
Evaluate 157 + (-107 - (-138 - -77)).
111
Calculate 23 + (69 - 31) + 24 + 1 + -3.
83
Evaluate 0 - -1 - ((-19 - -9 - 10) + 10).
11
(-65 - -167 - 77) + 37 + -7
55
Evaluate 22 + -1 + (28 + -24 + -38 - -68).
55
Calculate 0 + 44 + -30 + 24 - (-4 + 19).
23
What is (45 - 44) + (4 - (-11 + 23) - -82)?
75
-112 + 211 + (-3 - 82)
14
Evaluate 1 + 16 + -62 + -18 + 38.
-25
What is the value of 60 - (-61 - -115 - -7)?
-1
What is -114 + (-210 - -259 - (62 + -2))?
-125
What is the value of 94 + -20 + 18 - 21?
71
Evaluate (34 - 12) + -11 + 4 + -12.
3
Evaluate (55 - 173) + 160 - (80 - -1).
-39
14 - 73 - -22 - (-208 + 64)
107
33 - -28 - -26 - 20
67
Calculate (-24 - (-55 - -24)) + -54.
-47
Evaluate (-48 - (16 + -41)) + 47.
24
What is 25 + (-10 - -3) + 10 + (-6 - 5)?
17
What is the value of (37 - 146) + 91 + 53?
35
What is 42 + -45 + 14 + (1 - -10)?
22
What is the value of (-4441 - -4438) + (0 - -1 - -2) + 47?
47
What is the value of -7 - (-4 + (2 - 6) + -5)?
6
What is 117 + -120 + (8 - (5 + -4))?
4
Calculate (-55 - -23 - -15) + (5 + -3 - 1).
-16
What is -15 + -1 + -18 + 16 - -47?
29
What is (2 + -46 - 0) + (1 + -5 - (-1924 - -1924))?
-48
-193 - -172 - (-3 + -69)
51
What is (14 - 5) + -21 + -6 + -2?
-20
What is (-33 - 46) + 76 + (-2 - 18)?
-23
Evaluate -4 - (52 - 8) - ((10 - -19) + -12).
-65
What is -3 + (-18 - (27 + -16 - 68))?
36
9 - (3 + 12) - (-5 - 2 - -7)
-6
What is the value of -1823 + 1763 - (-27 - -1)?
-34
What is (-7 - (-2 - -7)) + -27 + -8 + 47?
0
159 - ((64 - 8 - 27) + 10)
120
Evaluate 1 + -32 + 9 + (-6 - -3 - 8) - -6.
-27
Evaluate (12 + -42 - -33) + (-58 - -8 - 8).
-55
-1 + 12 + 14 + (1 - (18 + -32 + 17))
23
What is 86 + 43 + -65 + -47?
17
What is the value of 34 + -13 - 44 - -41?
18
What is the value of 14 + (2 + 2 - 4) - (73 + -45)?
-14
Evaluate 8 + (0 - 2 - -1) - (-110 - -120).
-3
Calculate 4 + (6 - (22 - (4 - (-8 + -14 + 17)))).
-3
What is the value of (-74 - -1) + -1766 + 1737 + 45 + -1?
-58
9 - ((-19 - -25) + (-4 + -4 - 0))
11
What is the value of (75 - 89) + (0 - -4 - -72 - -8)?
70
-10 + -5 + -48 + (19 - 29) + 5 + 3
-65
What is 6 + -3 + 91 + (39 + 1 + -7 - 37)?
90
Evaluate 12 + (7 - (1 - 3 - (-3 + 30 + -22))).
26
What is the value of -64 + (47 + 13 - 27)?
-31
Calculate 85 - (25 + (-39 + 2 - -3)).
94
Calculate 133 - 91 - (-6 + 8 + -1 + 13).
28
Evaluate (-187 - -111) + 52 - (9 - -2).
-35
(238 - 209) + (-51 - 15)
-37
What is -86 + 85 - 19 - 41?
-61
What is -11 + (-47 + 56 - (14 - -1)) + -29?
-46
What is the value of (83 - (33 - -106)) + 59?
3
32 - ((81 - 16) + -11 - 14)
-8
Calculate -3 + (8 - 1) + (35 - (34 - 19)) + 7.
31
(-39 + 36 + -16 - -11) + (2 - (-2 + -66))
62
Calculate (-1 + 4 - 3) + 1211 + -1216 - 67.
-72
6 + 2 + (5 + -1 - 3) - 17
-8
What is the value of -37 + -2 + -166 + (130 - -152)?
77
Evaluate (-1 - -1) + 6 - (-78 + (140 - 61)).
5
Calculate (523 - 533) + (-28 - 4 - 3).
-45
9 + 4 + (-37 - -32) - (-47 - -7)
48
66 - (16 + 23 - 17)
44
Calculate 12 - (-1 + (-5 - -14) + -45).
49
Evaluate (-10 - 2 - -1) + (-54 - (-11 - 7) - -6).
-41
What is (-30 - -119) + -107 + 5 + 0?
-13
Evaluate 125 - ((-10 - (-5 - (17 + -2))) + -14).
129
Evaluate 181 + -142 - (6 + 15).
18
8 + (7 - (1 - -10)) + -3 - 1
0
What is the value of 0 + 3 + (-4 - (-22 + (-1 - -14))) + -21?
-13
What is 3 + 3 - ((-46 - -26) + (1 - (4 + -11)))?
18
Evaluate -24 + (-34 - -120) + -49.
13
Calculate -57 + (-22 - (0 - -2 - (-35 + 47))).
-69
What is the value of -4 + -25 - (21 + -83) - -4?
37
Calculate 43 - -3 - 48 - -86.
84
What is the value of (1 - 1 - -8) + (-25 - -4 - -58)?
45
Calculate -7 + (24 - 41) - -27 - -12.
15
What is (5 - 6) + 1 + 13 + -30 + 6?
-11
What is -52 + (-1 - -55 - -37)?
39
722 + -634 + -51 + -7
30
Evaluate 50 + 5 + (-20 - 11) + 33.
57
Evaluate (-9 - -1) + 3 + (29 - 121).
-97
(-65 - -34 - 18) + 33
-16
Calculate (1 - -31) + -2 + 2 + (258 - (-25 + 274)).
41
Calculate (-5904 - -5940) + (2 - 129).
-91
Evaluate 81 - (2 + (-6 - -13 - ((-6 - -13) + -6))).
73
Calculate 79 - (-42 + 106 + 139).
-124
What is the value of 48 + -70 + 50 + 0?
28
What is the value of 21 + (-28 - -47 - 3) + -5?
32
Evaluate (-227 - -122) + (-101 - -192).
-14
What is the value of -13 + 8 + (-20 - -20) + -31?
-36
What is -1639 + 1635 - (-1 + (-2 - 0 - -5))?
-6
Calculate 5 + -10 + (25 - 12 - 1) + -55.
-48
(625 - 652) + 36 + 1 + -7
3
Calculate -1 - ((14 + 1 - (-107 - -120)) + 56).
-59
What is -8 + (5 - (-10 - -36)) + 55?
26
Calculate 28 + (4 - 17) - ((-4 - (-8 + 11)) + 3).
19
Calculate -16 + 7 + 35 - (7 + -8 + -7).
34
What is the value of -87 + (-26 - -92) - -22?
1
Evaluate -8 + 28 - (-63 + -2 + -101 + 94).
92
Evaluate -42 + 38 + (60 - 13).
43
Evaluate 16 - ((-9 - -17) + (-20 - 16 - 2)).
46
What is the value of -190 - -74 - -114 - (-1 + 57 + 0)?
-58
What is 141 + (-24 - 3 - -14 - 10)?
118
What is the value of (8 - 2) + 4 - (12 + (-21 - -13))?
6
Evaluate 76 + (15 - (-31 - -64)).
58
1 + 11 + (63 - (25 - -18)) + -41
-9
Calculate 33 + (15 - 18 - (1 + 1)) + 68 + -69.
27
Evaluate 47 + 15 + -57 - 61.
-56
What is the value of 2818 - 2844 - (1 + -37)?
10
Calculate 37 + (-4 - -9) + -9 - (17 - (41 - 9)).
48
-7 - ((-1 - (0 + 2)) + -13 + -15)
24
What is the value of (0 - -4) + (59 - 75) + 12 - (-2 - -66)?
-64
48 - (29 - (-91 + 24))
-48
6 - (58 + 1 + (-259 - -257))
-51
-614 + 627 + -2 + 2 + -1 + 7
19
What is -43 - 30 - -86 - (9 - 0)?
4
Evaluate -49 + -1 + 12 + -4 + -8 + 2 + 2.
-46
12 + 78 + 2 + -111
-19
-3 - -28 - 27 - -16 - (-30 + -2)
46
Calculate -30 - (-4 + 17 - (-32 - -35)).
-40
(-187 - -182) + (0 - (-43 + -3) - -4)
45
Calculate 1 - ((55 - 45 - (-1 - -86)) + 2).
74
What is the value of (-239 - -237) + (-10 - -8)?
-4
Evaluate -10 - (-8 + (22 - 64 - (2 + 4 + -4))).
42
What is the value of -1 + (19 - (6 + -3)) - (-28 + (17 - -2))?
24
Evaluate -38 + (110 - (132 - 46)).
-14
What is 118 + (-288 + 144 - 21)?
-47
What is -50 - (-3 + 27 + -13 + -27 + 14 - -4)?
-52
What is the value of (44 - 54) + (-6 - (-13 - (-5 + -2)))?
-10
Calculate -32 - -31 - -8 - 2.
5
Evaluate 26 + -26 + 29 + 38 - 27.
40
Evaluate 9 + 20 + -48 + 36 + 38.
55
Calculate -39 + -2 + -42 + 70.
-13
Calculate 22 - (-14 - (-48 + 54)).
42
Evaluate -1 - -12 - (242 + -240).
9
Evaluate -5 + -7 + 2 + (-7 - -12) - -31 - 6.
20
What is -33 - -24 - (11 - 2) - -19 - 118?
-117
5 - -35 - (140 + -84 - -118)
-134
(0 + -7 - -1) + (43 - ((33 - 60) + 46))
18
(11 - (0 - -2)) + (-37 - -25) + 3
0
Evaluate (-7 - (2 + 4)) + (-8 - 0 - (-126 - -112)).
-7
Evaluate 198 - (29 - -138 - 97).
128
What is the value of 14 + 1 - (-25 + (13 - 14 - 12 - -23))?
30
Evaluate 89 + -187 + -14 + 104.
-8
-6 + -5 + -19 + 49 + 2
21
What is -4 + -22 - (17 + (-14 - (2 + 12)))?
-15
130 - (-53 + 135 - -78)
-30
Evaluate (79 - 45) + -34 + (2 - -12) + -82.
-68
-71 + -7 + 1 + (-48 - -45) - -6
-74
What is 8 - ((-5 - 2) + 3 + 9 + -6 + -15)?
24
Calculate -4 + (1 + -8 - (-87 + 40 - -53)).
-17
Calculate 41 - 3 - (-17 + 45 + -35).
45
-386 + 476 + (-157 - -6)
-61
What is 32 - ((-5 - ((7 - 10) + 17)) + 10)?
41
Calculate (-4 - -1) + -2 - (-42 + 34 - -2) - 51.
-50
What is the value of -72 - (-27 + (48 - 56))?
-37
Evaluate 12 + 5 + 2 + (106 - 93).
32
What is the value of 32 + 18 + (-44 + -13 - -27)?
20
What is the value of 1 + 91 + 20 + 16 + -67 + 35?
96
What is the value of (2 - -1 - (-1 + -1)) + -5853 + 5843?
-5
(8 - 2) + (15 + -51 - -45)
15
What is the value of (-126 - -3) + -212 + 453?
118
Evaluate (51 - (-48 + (14 - -24) + 2 + -1)) + 6.
66
-39 + (221 + -91 - (-18 + 20))
89
Calculate (19 - 12 - -1) + 2 + -6 + (0 - -11).
15
Calculate 23 - ((-39 - -78) + -35).
19
Calculate 71 + -97 - (-77 - -14).
37
(-33 - -58) + 19 + -86
-42
What is (-23 - -37) + (7 - 16 - -10 - 74)?
-59
-101 - ((-87 - -79) + -60)
-33
Evaluate -74 + -46 + 98 + 25.
3
Calculate (-94 - -77) + -37 + 44.
-10
What is the value of 11 - (6 + -14 + 32 + 1 + 0 + 5)?
-19
What is (-5 - -2 - ((-8 - -1) + -19 + 18)) + | {
"pile_set_name": "DM Mathematics"
} |
e the lowest common multiple of 300 and 405.
8100
Calculate the common denominator of 77/15 and 53/27.
135
What is the common denominator of -5/32 and -79/7712?
7712
What is the common denominator of 86/957 and 127/696?
7656
What is the lowest common multiple of 171 and 2?
342
Calculate the lowest common multiple of 5 and 47.
235
What is the smallest common multiple of 825 and 1155?
5775
Calculate the common denominator of -107/50 and 93/110.
550
Find the common denominator of 31/57 and -19/6.
114
What is the common denominator of -29/237 and -49/18?
1422
Calculate the common denominator of 19/8632 and 7/20.
43160
Calculate the common denominator of -79/76 and 3/304.
304
Find the common denominator of -97/584 and 119/10.
2920
Calculate the common denominator of -97/2128 and 91/264.
70224
Calculate the lowest common multiple of 12 and 7752.
7752
Calculate the smallest common multiple of 1107 and 123.
1107
What is the common denominator of 65/42 and 89/42?
42
Calculate the lowest common multiple of 96 and 64.
192
Calculate the smallest common multiple of 273 and 65.
1365
What is the lowest common multiple of 165 and 1125?
12375
Calculate the smallest common multiple of 44 and 1876.
20636
Find the common denominator of 37/147 and 49/18.
882
Find the common denominator of -73/4436 and -127/60.
66540
Find the common denominator of 93/4 and -33/104.
104
Calculate the common denominator of -5/4 and -71/40.
40
Find the common denominator of 16/3 and 31/2079.
2079
What is the lowest common multiple of 24 and 165?
1320
What is the smallest common multiple of 2945 and 775?
14725
What is the least common multiple of 14380 and 1?
14380
What is the common denominator of 51/2 and -37/8?
8
Calculate the common denominator of 37/8 and 2/6397.
51176
Calculate the lowest common multiple of 310 and 310.
310
What is the least common multiple of 4 and 320?
320
What is the least common multiple of 3266 and 994?
22862
What is the common denominator of 39/11 and -37/88?
88
What is the lowest common multiple of 460 and 575?
2300
Calculate the lowest common multiple of 1644 and 6576.
6576
Calculate the smallest common multiple of 270 and 594.
2970
Find the common denominator of 91/20 and 109/48.
240
Calculate the common denominator of -7/180 and 81/2.
180
Find the common denominator of -19/48 and 68/45.
720
What is the common denominator of 29/30 and -38/2895?
5790
Calculate the lowest common multiple of 765 and 204.
3060
What is the lowest common multiple of 1180 and 40?
2360
Calculate the least common multiple of 80 and 88.
880
Calculate the smallest common multiple of 4680 and 780.
4680
Calculate the common denominator of -17/14 and 35/74.
518
Calculate the lowest common multiple of 99 and 24.
792
Calculate the least common multiple of 5472 and 1.
5472
Calculate the smallest common multiple of 36 and 556.
5004
Calculate the smallest common multiple of 12 and 469.
5628
What is the common denominator of 137/270 and 11/1092?
49140
Calculate the common denominator of -25/3 and -77/15.
15
Find the common denominator of 5/6 and 19/246.
246
What is the common denominator of -22/9 and -49/201?
603
What is the lowest common multiple of 3688 and 36?
33192
Calculate the common denominator of 11/3111 and -53/1122.
68442
Calculate the lowest common multiple of 6 and 566.
1698
What is the smallest common multiple of 339 and 45?
5085
Find the common denominator of 5/652 and -133/12.
1956
Calculate the least common multiple of 5 and 6815.
6815
Find the common denominator of 21/2132 and 79/5330.
10660
Calculate the lowest common multiple of 3 and 409.
1227
Calculate the smallest common multiple of 1520 and 1672.
16720
Find the common denominator of 29/1614 and 7/5918.
17754
What is the smallest common multiple of 2415 and 35?
2415
What is the lowest common multiple of 795 and 65?
10335
What is the lowest common multiple of 140 and 60?
420
Calculate the lowest common multiple of 272 and 34.
272
What is the common denominator of 25/3 and 79/51?
51
Calculate the lowest common multiple of 3535 and 5656.
28280
What is the least common multiple of 260 and 28?
1820
What is the common denominator of 29/24623 and 8/9?
221607
What is the smallest common multiple of 710 and 25?
3550
What is the common denominator of -133/90 and 35/6?
90
Calculate the lowest common multiple of 218 and 1744.
1744
What is the lowest common multiple of 732 and 610?
3660
What is the least common multiple of 7180 and 7180?
7180
Find the common denominator of -52/9 and 22/153.
153
Calculate the lowest common multiple of 1 and 9776.
9776
Find the common denominator of -57/74 and -21/4.
148
Calculate the least common multiple of 10 and 16.
80
What is the least common multiple of 16 and 830?
6640
Calculate the common denominator of 17/11 and 3/121.
121
What is the smallest common multiple of 33 and 927?
10197
Find the common denominator of -23/62 and 6/155.
310
Calculate the lowest common multiple of 56 and 304.
2128
What is the least common multiple of 3240 and 4?
3240
Calculate the common denominator of 62/175 and 17/20.
700
What is the lowest common multiple of 40 and 1032?
5160
Find the common denominator of -149/36 and 5/66.
396
What is the common denominator of -17/13 and -43/41?
533
What is the least common multiple of 372 and 222?
13764
Calculate the common denominator of -13/413 and 17/10.
4130
What is the lowest common multiple of 504 and 84?
504
What is the smallest common multiple of 2268 and 9?
2268
What is the least common multiple of 440 and 1595?
12760
Calculate the common denominator of 137/280 and 47/160.
1120
What is the smallest common multiple of 4203 and 33?
46233
Calculate the smallest common multiple of 104 and 4.
104
What is the least common multiple of 2114 and 6342?
6342
What is the smallest common multiple of 8 and 408?
408
What is the lowest common multiple of 16 and 1002?
8016
What is the lowest common multiple of 210 and 195?
2730
What is the smallest common multiple of 336 and 1176?
2352
Calculate the lowest common multiple of 1260 and 378.
3780
What is the common denominator of -65/66 and 115/2616?
28776
Find the common denominator of -113/10 and -19/115.
230
What is the lowest common multiple of 1075 and 30?
6450
Calculate the lowest common multiple of 23846 and 4.
47692
Find the common denominator of -67/240 and -59/800.
2400
What is the smallest common multiple of 66 and 66?
66
What is the lowest common multiple of 47 and 94?
94
Calculate the smallest common multiple of 2805 and 2550.
28050
What is the least common multiple of 28 and 3920?
3920
Calculate the common denominator of -133/110 and 23/154.
770
Calculate the least common multiple of 21 and 217.
651
Calculate the smallest common multiple of 99 and 22.
198
What is the lowest common multiple of 22 and 24?
264
What is the lowest common multiple of 716 and 2864?
2864
Calculate the smallest common multiple of 57 and 35.
1995
Find the common denominator of 61/5 and 3/64.
320
What is the common denominator of 81/56 and -99/28?
56
Calculate the common denominator of 58/5 and -71/729.
3645
Calculate the lowest common multiple of 2475 and 594.
14850
Find the common denominator of 45/7 and -49/8.
56
What is the lowest common multiple of 39 and 9?
117
Calculate the least common multiple of 114 and 48.
912
What is the smallest common multiple of 16 and 672?
672
Calculate the lowest common multiple of 14 and 4866.
34062
Find the common denominator of 73/33 and -55/2042.
67386
What is the least common multiple of 3 and 186?
186
Calculate the lowest common multiple of 192 and 15.
960
What is the common denominator of 65/816 and -133/12?
816
Calculate the common denominator of -61/432 and -51/4.
432
What is the common denominator of -43/570 and 83/152?
2280
Find the common denominator of -19/360 and 23/60.
360
Find the common denominator of -59/434 and 37/186.
1302
What is the common denominator of -31/4 and -40/7?
28
What is the least common multiple of 6048 and 8?
6048
Calculate the common denominator of -43/18 and 35/153.
306
What is the common denominator of 24/11 and -5/7?
77
Find the common denominator of -79/208 and 5/338.
2704
Calculate the least common multiple of 30 and 110.
330
What is the common denominator of 11/28 and 103/24 | {
"pile_set_name": "DM Mathematics"
} |
+ 3*i, 0 = -5*m + 2*i + 20 for m.
2
Solve -14 = -4*v - 3*t, -v + 13*t - 11*t = 2 for v.
2
Solve 3*r + 30*k - 29*k = 11, -8 = 2*k for r.
5
Solve 17*c = 3*d + 13*c + 14, 2*d = -2*c + 14 for d.
2
Solve 4*s = 5*f + 5, -3*f + s = -4*s + 3 for f.
-1
Solve 5*d - 3*a = -25, -4*d = 7*a - 4*a - 7 for d.
-2
Solve 4*n = 4*u, 2 + 0 = 5*n - 3*u for n.
1
Solve 2*t = -2*y - 8, -21 = -3*y + 2*y + 4*t for y.
1
Solve -35*y + 17 = 5*q - 38*y, 0 = q + y + 3 for q.
1
Solve 10 = -4*a + 15*s - 10*s, -5*s = 2*a + 20 for a.
-5
Solve -5*d + 5 = -2*q, 8*q - 5*d = 7*q - 10 for q.
5
Solve 4*m + 24 = -w, -m + 2*w - 12 = 3*m for m.
-5
Solve 16*h - 14*h + 4*p + 16 = 0, -5*h - 5*p - 15 = 0 for h.
2
Solve 3*n - 5*w + 16 = n, 4 = -4*n + 3*w for n.
2
Solve -4*g - 4*w + 28 = 0, 34 = 4*g + 5*w + 4 for g.
5
Solve 3*d = 5*j, 0 = 2*j - 7*j - 3*d - 30 for j.
-3
Solve m + 0*m - 3*l - 11 = 0, -2*m - 5*l = 0 for m.
5
Solve -3*a = 5*f + 28, 5*a - 2*f = 7 - 2 for a.
-1
Solve -4*m = 5*k - 9*k, -3*m - 21 = 4*k for m.
-3
Solve 33 = 15*b - 13*b + 5*z, 3*b = -5*z + 37 for b.
4
Solve 4*w = 8, -20*m = -23*m + 3*w + 6 for m.
4
Solve 25 = -5*x - 5*g, 20 = -5*x + x - 3*g for x.
-5
Solve -m = -2*n - 11, 0 = -4*m - 14*n + 17*n + 29 for m.
5
Solve r - 5*q = 5*r - 11, 3*r = q + 13 for r.
4
Solve 4*g = -2*z, 4*z + 11 + 2 = 5*g for z.
-2
Solve -2*a - 6 = 2*g, 0 = -4*a + 2*g - 0*g - 24 for a.
-5
Solve 4*b - 4*c + 2*c = 12, -2 = -2*b + 2*c for b.
5
Solve -j + 2*m - 7 = 2, 0 = 3*j - 5*m + 22 for j.
1
Solve 3*i = -2*l + 24, 0 = -4*l + 2*i + 55 - 39 for l.
6
Solve 3*n - 4*j + 20 = 0, 4*n - 2*j - 4 = 6*n for n.
-4
Solve 3*d = -5*c + 32 + 3, c - 4 = 0 for d.
5
Solve 2*t = -4*m - 22, 4*m = m - t - 15 for m.
-4
Solve 12 = -3*a + 2*s, -s = 3*a - 5*s + 12 for a.
-4
Solve -5*l = -3*a + 30, -10 = -9*a + 4*a - 5*l for a.
5
Solve -3 = g, -10 = 4*f - 2*g - 0*g for f.
-4
Solve -3*v + 31 = 5*z - z, 0 = 2*z + 4*v - 28 for z.
4
Solve j + 4 = -5*m, 0*j = m - 4*j - 16 for m.
0
Solve -t - 2 = 0, 4 - 16 = -4*y + 4*t for y.
1
Solve -5*d = -4*d - h, 32 = 3*d + 5*h for d.
4
Solve 2 = -2*y - 3*i, -2*i = 3*y - 0*i + 8 for y.
-4
Solve 2*w - 5*n + 3 = 0, w - 1 = -0*n + 5*n for w.
-4
Solve 23 = 2*u + 5*k, 18*u + 5*k - 19 = 17*u for u.
4
Solve y + 1 = -2*m, -y - y + 16 = -2*m for m.
-3
Solve 5*a - 10 = 5*o, 5*o + 4*a - 3 + 13 = 0 for o.
-2
Solve 0 = 4*c - 2*n + 14, -c + 5*c = n - 11 for c.
-2
Solve 3*j + 11 - 19 = -4*a, 0 = 2*a - 2*j - 18 for a.
5
Solve 3*h + 2*n = 7*h + 12, 0 = -2*n - 4 for h.
-4
Solve -20*o = -15*o - 5*c - 35, 4*c = -8 for o.
5
Solve 40 = 5*f + 3*p, -3*f + 19*p - 15*p - 5 = 0 for f.
5
Solve 4*p - 3*n - 29 = 0, -p - 10*n + 8*n = 1 for p.
5
Solve -7*f + 2*f - 5 = 0, 4*g + 9 = -5*f for g.
-1
Solve 0 = -4*v + 2*z - 1 - 1, -4*z + 20 = 0 for v.
2
Solve 0*z - 15 = 5*z - 5*q, z - 12 = -4*q for z.
0
Solve -2*q + 5*z = 14, 1949*q - 1948*q + 6 = 2*z for q.
-2
Solve 0 = -o + 4*w - 9 - 3, -2*w + 4 = -o for o.
4
Solve -4*v - 10 = 2*x, -6*v + 2*v = -x + 7 for v.
-2
Solve 3*v + 23 = -5*y, -49*y - 2*v = -52*y - 10 for y.
-4
Solve 5*b = -4*r - 58 + 35, 2*b + 4*r + 14 = 0 for b.
-3
Solve 0 = r - m + 3, -4*r - 4*m - 32 = -4 for r.
-5
Solve 0 = n - v - 4, -3*n - 2*v + 4 = n for n.
2
Solve g = 3*g + 4*v, 4*g - 4*v - 12 = 0 for g.
2
Solve 65*h = 60*h + 10, 0 = 5*p - 3*h + 21 for p.
-3
Solve -35*d - 5 = -p - 34*d, -5*d = 15 for p.
2
Solve 18*r + g = 19*r - 6, 4 = -4*g for r.
5
Solve -c + 13 = -2*p, 0 = -3*c - 0*c - 4*p - 1 for c.
5
Solve -5*f - 3 = 3*c, 3*f - 4*f = 3*c + 3 for c.
-1
Solve -5*a = -u - 25, 3*a + 9*u - 15 = 8*u for a.
5
Solve -3*v = 3*b + 3, -4*b - v - 2 = 2 for b.
-1
Solve l = 2*d - 9, 3*l + 13 = d + 6 for d.
4
Solve -3*j - 3 = -5*t + 2*t, 0 = 5*j + 4*t + 14 for j.
-2
Solve c + 10 = 3*a - 3, -4 = 4*c for a.
4
Solve 4*d + 12*j - 13*j - 19 = 0, -d - 5*j = -10 for d.
5
Solve -2*w + 896*n - 899*n = 0, 0 = w - 5*n for w.
0
Solve 9*i - 4*i = -4*f - 18, -3*i - 6 = 0 for f.
-2
Solve y + d = -10 + 1, 5*d = 4*y for y.
-5
Solve 21*d + 3*j - 5 = 22*d, 0 = 3*j - 9 for d.
4
Solve 0 = -2*u - 5*v - 1 + 10, -4*u + 2*v - 18 = 0 for u.
-3
Solve -4*k + 1 = -5*i, i = -5*k + 6*k for i.
-1
Solve -4*y = -2*u + 8, -u - 19*y + 14*y = -4 for u.
4
Solve 16*z + 5*q + 11 = 15*z, 3*z + 3*q = 3 for z.
4
Solve -q - 16 = -4*k, -q + 5*k - 9 - 10 = 0 for q.
-4
Solve -c + 0*o - o = 7, -11 = -2*c + 3*o for c.
-2
Solve 3*l + 6 = -5*h + 7, -4*h = 2*l for l.
2
Solve 0 = 4*m + 4*u + 16, -7*m - 6 = 2*u + 2 for m.
0
Solve 3*p - 5*r + 13 = 0, -p + 6*p - 4*r = 0 for p.
4
Solve -11 = -p + 2*d, -2*p - 4*d = -2*d + 2 for p.
3
Solve -2*y = -5*g + 22, y + 2*y + 4*g - 13 = 0 for y.
-1
Solve -5*l + 39 = -x, 0*l - x - 32 = -4*l for l.
7
Solve -3*n + 5*s = 27 - 10, 4*n + 2*s - 12 = 0 for n.
1
Solve 5*p = -u - 23, 3*u - 13 = p + 6*u for p.
-4
Solve -23 = -s - 4*p, -5*p + 32 + 8 = 5*s for s.
3
Solve 26 = -5*t - g, 165 = 2*t + 3*g + 178 for t.
-5
Solve -y + 11 = 2*y + 2*j, -3*y + 3*j = -21 for y.
5
Solve -3*n + 20 = 4*k, 16 + 4 = 4*k for n.
0
Solve -4 = -2*b - 12*c + 8*c, 3*b = -3*c + 9 for b.
4
Solve -35*y + 37*y - j + 3 = 0, -j = -3*y - 7 for y.
-4
Solve 0 = 5*n - 2*x + 6 - 2, -4*x + 8 = -2*n for n.
0
Solve -z - 3 = 0, 4*m - 5*z + 264 - 259 = 0 for m.
-5
Solve -1 = 5*n - 4*y, 0 = -2*n + 3*n + 3*y + 4 for n.
-1
Solve 4*v + 4*b = 36, 34*b - 30*b - 16 = v for v.
4
Solve -9*j - 20 = -5*j, 0 = -5*v + 4*j + 40 for v.
4
Solve n - 33 = -5*l, -2*l + 5*n - 7 = -4 for l.
6
Solve -357 = -2*d + 4*j - 331, 3*d + 4*j + 11 = 0 for d.
3
Solve 5*g + 2*n = 5, -5*g + 2*g - n + 3 = 0 for g.
1
Solve -4*g = -a - 0*a - 11, -4*g - 2*a + 14 = 0 for g.
3
Solve -y + 17 = 18, -5*y = 2*j - 7 for j.
6
Solve -3*f = -6*f - 4*q + 29, -10 = -2*q for f.
3
Solve 0 = 5*b + 5*d - 10, -d - 3*d = -b - 23 for b.
-3
Solve 4*r - 9 = -3*n, -4*r + 3*n - 9 = -0*r for r.
0
Solve -5*p - 25 = -o, 4*p - 5 = -5*o + 4 for p.
-4
Solve 3*b + 10 = 5*a - 10, b + a - 4 = 0 for b.
0
Solve -2*y = -8, b - y - 3*y = -13 for b.
3
Solve -n = 4*y - 6, n + 15 = 5*y + 12 for y.
1
Solve -3*n = m - 6, 8 = 2*n + 456*m - 454*m for n.
1
Solve -5*y = -15, -3*y + 14 = -2*u + y for u.
-1
Solve 3*o - 18 = -u, 0 = -2*o - 3*u + 5*u + 4 for o.
5
Solve -2*q + 0 = -s - 6, -4*s - 9 = -5*q for s.
4
Solve -14 = -u + 4*o + 1, -3*o - 12 = 0 for u.
-1
Solve -10 = -5*b - 4*c, -13*b + 29 = -15*b + 5*c for b.
-2
Solve 3*z = 3*l + 18, -3*l + l = -5*z + 24 for z.
4
Solve 5 = -2*k - 5, 0 = r - 2*k - 8 for r.
-2
Solve 2*d - 8 = 0, 0*z + z = 2*d - 5 for z.
3
Solve 7 = 2*f - 23*h + 22*h, 3*h = 5*f - 20 for f.
1
Solve 4 = -j - 3*t - 7, -j = -2*t + 1 for j.
-5
Solve -2*n = -5*i - n - 28, -22 = 2*i - 4*n for i.
-5
Solve 0 = -3*x + 2*m - 3, 2*x + m = 4*x + 2 for x.
-1
Solve 4*y = 3*s + 28, -5*y = -5*s - 68 + 33 for y.
7
Solve 2*b - 7*b + v = 5, -3*b - 31 = 5*v for b.
-2
Solve 2*i - 6 = 2*g, -6*i = -5*i - 2*g - 2 for i.
4
Solve 2*r = -2*o + 5*r - 20, 5*o + 4 = -4*r for o.
-4
Solve 4*l + 4 = -h, -5*h - 35*l + 30 = -40*l for h.
4
Solve 14 = 5*w + 3*q, -5*w - 2*q + 8 = -q for w.
1
Solve j - 4 - 23 = -5*f, 5*j = 2*f for f.
5
Solve -2*m + 10 = 2*o, -135*m = 3*o - 130*m - 21 for o.
2
Solve -5*f = -3*i + 15, 2*i = -3*f - 0*i - 9 for f.
-3
Solve -2*d - 4 = -2*z, -5*z - 2*d = -0*z - 10 for z.
2
Solve -c = -4*t - 23, -5*c = -5*t + t - 35 for c.
3
Solve -2*z + 4*c = 9*c + 22, -13 = -3*z + 4*c for z.
-1
Solve 4*l + 3*g = 25, 4*g - 12 = -0 for l.
4
Solve -8 = g + 2*u, -26 = 64*g - 59*g + 3*u for g.
-4
Solve 3*a = 5*p + 12, -2*p = 3*p - a + 4 for p.
0
Solve j - 2*n - 2*n - 7 = 0, -n + 11 = 4*j for j.
3
Solve 5*d + 5*t = -40, -7*t - 23 = 4*d - 6*t for d.
-5
Solve n = -5*d, 4*n = 4*d + 7*n + 11 for d.
1
Solve 0 = -s + 2*l + 1, -4*s + s - 5*l + 14 = 0 for s.
3
Solve 3*h = -15, -2*x - 21 = 2*x + h for x.
-4
Solve -5*k = -5*h + 15, h = 5*k - 2*h + 19 for k.
-5
Solve m - 58 = -c - 66, 0 = 3*m - 5*c for m.
-5
Solve -4*s = 3*i + 5, -3*i + 5*s = -7 - 6 for i.
1
Solve k + 4*y - 4 = 0, -9*k + 7*k + 3*y = -8 for k.
4
Solve -1 = f + 4*j - 0, 8 = -f + 3*j for f.
-5
Solve -8 = u + u, -3*t - 5*u - 20 = 0 for t.
0
Solve -29*g = -a - 31*g - 8, -35 = -5*a + 5*g for a.
2
Solve -i - 9 = -3*d + 2, d + 3 = 2*i for i.
4
Solve -3*v - w + 9 = 0, -2*v + 3*w = 2*w - 6 for v.
3
Solve 2*s + 8 = 3*y, 5*y + s - 5 = -9 for y.
0
Solve 2*x + 3*s = 24, 30 = 3*x - 7*s + 10*s for x.
6
Solve 0 = 5*d - 10, -y - 1 - 1 = d for y.
-4 | {
"pile_set_name": "DM Mathematics"
} |
lest common multiple of 586470/1243 - 4/(-22) and 88?
5192
Let h be -19*((8 - 1) + -2). Let i = h - -111. Suppose 2*f + 2*f - 3*l - 72 = 0, 3*f + 3*l = 54. What is the smallest common multiple of i and f?
144
Suppose 9 = -4*q + 3*h, -5*q - 9 = -h - 2*h. Suppose 4*g + 5*s - 138 - 208 = 0, q = 5*g - 2*s - 416. Calculate the smallest common multiple of 42 and g.
84
Calculate the smallest common multiple of 1340 and (5/((-75)/(-24)))/((-38)/(-12730)).
2680
Let u = -7351783331/30 - -245083972. Let b(x) = 24533*x**3 - 9*x**2 + 8*x + 1. Let c be b(1). Let n = c - u. Calculate the common denominator of 59/39 and n.
390
Let o(f) = 9*f + 49. Let y be o(-6). What is the smallest common multiple of 18 and (3/y)/((-24)/11160)?
558
Let k = 2/13077 + 222253/366156. Calculate the common denominator of k and (584/462 - 1)*(-17 - -14).
308
Let t = -331 + 343. Let f = 132 + 92. What is the least common multiple of t and f?
672
Let z(v) = v**3 - 8*v**2 - 9*v + 10. Let t = 143 - 140. Suppose 47*i - t = 44*i. What is the smallest common multiple of z(9) and i?
10
Let l be (2/(-30))/(4625/(-75)). Let x = -68/1295 + l. Find the common denominator of x and -63/10.
350
Let d = -57 - -56. Find the common denominator of (-1 + 219/225)/(d/57) and ((-35)/11)/(11 - 12).
275
Suppose -3*m = -4*x - 312, 15 + 58 = -x + 2*m. Let g = 109 + x. Calculate the least common multiple of g and 112.
112
Find the common denominator of (-10)/80 - (-790)/(-480) and 1/178.
4272
Suppose 0 = -m + 5 - 3. Let q be -3*((-6)/18)/(m/62). Suppose -4*f + q = 2*v - 17, -2 = -v. What is the least common multiple of 8 and f?
88
Suppose -509*l = -75441 - 89984. What is the smallest common multiple of l and 35?
2275
Let r = 201568 + -21770723/108. Let v = -14/27 - r. Find the common denominator of v and 3/15*2*-4.
20
Suppose -13 - 7 = 5*f. Calculate the common denominator of ((-3)/f)/((-18)/220) and ((-9)/36)/(40/(-750)).
48
Suppose -365 + 1941 = 4*u. Let k(d) = -12*d**2 - 174*d - 228. What is the lowest common multiple of k(-13) and u?
1182
Let k = -7086 + 42539/6. Calculate the common denominator of -49/304 and k.
912
Let l be ((-2955589)/2926)/13 + 6. Let j = l - -1434/19. Calculate the common denominator of j and -7/4.
44
Suppose 89*m - 140*m = -71*m + 4400. What is the lowest common multiple of m and 2596?
12980
Suppose 0*y - 10*y - 40 = 0. What is the common denominator of y/10*(-5 - (-18)/(-24)) and 9/(-2)*(-34)/6?
10
Let p = 136903/3466 - -2/1733. Find the common denominator of -3 - -1 - (0 + (-106)/8) and p.
4
Suppose -13*h + 1044 = -9*h. Let m = -210 + h. Let f = -38 + 68. Calculate the lowest common multiple of f and m.
510
Let i = -38082524 + 799895371/21. Let s = i - 7730. Find the common denominator of -4/7 and s.
21
Calculate the common denominator of -80/153 and (181/(-36))/(-1 - 261/(-6)).
1530
Suppose -15 = -4*c + 1. Calculate the smallest common multiple of 142/26 + 36/(-78) and c.
20
Let p = 18 + 0. What is the smallest common multiple of (-321)/(-15) + 45/75 and p?
198
Let p = 164913212/15717 + -1690321/338. Let x = p + -5492. Find the common denominator of -43/2 and x.
186
Calculate the smallest common multiple of 5 - 0 - (23 - (-10080)/(-28)) and 57.
342
Suppose -19*g + 193 = -35. Suppose 9*p = 10*p - 14. Calculate the smallest common multiple of p and g.
84
Let t = -52511/6685 + -2/955. Let a be 2*-1 - 11085/6. Let d = -1884 - a. What is the common denominator of d and t?
14
Let w(v) = v**2 - 36*v + 43. Let z be w(34). Let h = 233419/14 + -16680. Calculate the common denominator of (45/6)/(-5) + (-145)/z and h.
70
Let p(n) = -4*n + 17. Let x be p(10). Let i = 26 + x. Suppose -u + 8 = -0*u + 3*j, 3*j = 4*u - 32. Calculate the lowest common multiple of u and i.
24
Let k = -50369 - -6296163/125. What is the common denominator of k and 67/4?
500
Let r = -110 - -192. Suppose 5*m = -3*j + 69, -31*j + 27*j = -m. Calculate the least common multiple of m and r.
492
Let n be 2/(-186)*(9064/(-2272) - -4). Let h = 72617/140864 - n. Find the common denominator of h and 89/16.
64
Let m = -12725649/12265840 - 2/153323. What is the common denominator of m and 41/540?
2160
Suppose 0 = -d + 6*d + 3*t - 22055, 2*t = 4*d - 17666. Calculate the lowest common multiple of 6 and d.
13242
Calculate the common denominator of -17/3 and 1/(-4) - (-195)/21424*44/1.
618
Let p be -4 + 3 + 2 + -111. Find the common denominator of 0 - 278/24 - -1 and p/(-22) - (-216)/(-22).
132
Suppose -6*s - 22*s = -140. Find the common denominator of -1/36 and s*(-8)/(-200) + 196/(-330).
396
Let o = 28/1399357 + 86459265973/313455968. Let i = o + -1938/7. Calculate the common denominator of i and -119/40.
160
Suppose 0 = u - 3*b - 302, 0 = -5*u - b + 669 + 921. Calculate the lowest common multiple of u and 3487.
3487
Let l be (1 + 341/(-330))*(-23564)/(-17). Let g = 756/17 + l. Find the common denominator of 61/45 and g.
45
Let q(d) = -14*d**2 - d - 11*d**3 + 9*d**3 + d + 2. Let z be q(-7). What is the common denominator of z/(-16)*11 - 2 and -1/16?
16
Let k = -611209/36 + 33947/2. Let o = k + 1381/144. What is the common denominator of 141/70 and o?
560
Let k = -323/48 + 125/12. What is the common denominator of k and -33/310?
2480
Calculate the lowest common multiple of 24 and 2/(-3)*(-24)/16 + 20.
168
Suppose -3*n - 15 = 0, 2*y + 4*n = 29 + 41. Suppose 87*i + 1125 = 92*i. Suppose -22*r = -37*r + i. Calculate the least common multiple of y and r.
45
Let q be 4/10 + 24/(-10) + 1263. Let m = q - 3815/3. Find the common denominator of m and (-2)/(-9) + (-76)/99.
33
Let f = -1771368491/30 + 59040073. Let s = f - -5539. Find the common denominator of 82/21 and s.
210
Let a(p) = 16*p**3 + 5*p**2 + 8*p - 29. Let q(s) = -s**3 + 14*s**2 + 30. What is the smallest common multiple of a(2) and q(14)?
270
Let i(q) = q**2 - 8*q + 15. Let h be i(3). Suppose -g - 4*a + 23 = h, 5*g - 10 = -2*a + 33. What is the common denominator of 65/12 and (-4)/g*203/14?
84
Suppose 2*h + 71 = -97. Let o = 134 + h. Suppose -4*i = -8, -3*t = 2*t - 4*i - 92. Calculate the least common multiple of t and o.
100
Suppose 0 = -x - 4*z - 32, 3*z - 6*z = 2*x + 89. Let c = 58 + x. What is the smallest common multiple of 234 and c?
234
Let f(g) = 85*g + 129. Calculate the lowest common multiple of f(3) and 48.
384
Suppose 200 = 25*o - 20*o. What is the common denominator of ((-34)/o)/((-8)/20) and (69/99)/(2/12)?
88
Let y = 435 + -437. Find the common denominator of 116/10 + 2 + -3 and (-61)/y - (-13 + 7).
10
Let o(g) = 597*g + 16123. Suppose -2*h = -2*u + 468, u = 2*u - 3*h - 230. What is the lowest common multiple of o(-27) and u?
236
Let a = 4288/5 + -851. Let l be ((-2)/16)/(1/(-429)). Let o = l + -53. Calculate the common denominator of o and a.
40
Suppose 8*d = 5*d + 6, 2*k + 2 = 5*d. Find the common denominator of (5319/(-441) - -12)*(-238)/k and 163/42.
42
Let g = -27 - 9. Let z = g + 76. What is the lowest common multiple of (-1 + -1 - -3)/(5/z) and 44?
88
Let t(q) = q**3 - 6*q**2 - 30*q + 7. Let j be t(7). Let p = -771 - -2985/4. Find the common denominator of (7/j)/1*-65 and p.
44
Find the common denominator of 97/18 and (-17)/((-4131)/(-18)) - (-1 + (-5649)/(-5022)).
558
Suppose -s + f + f + 14 = 0, 0 = 2*s - 3*f - 25. What is the common denominator of (-18571)/(-46662) - s/44 and 91/2?
606
Let i(s) = -4*s + 88. Let z be i(23). Calculate the common denominator of -45/22 and (-2990)/550 + 6 + (-2)/z.
110
Let r = 2953 - 5961/2. What is the common denominator of r and 83/7844?
7844
Suppose -135 = -d + 656. Let b be 4 + d/28 - 2/8. Calculate the common denominator of 2/(b/12)*164/6 and -143/18.
18
Suppose 0 = 3*i - 3*a + 147, -5*i = -2*i - a + 157. Let j be ((-43959)/i*2)/(33/(-9)). Let c = 444 + j. What is the common denominator of 71/18 and c?
198
Suppose -20 = 6*b - 11*b. Suppose b*p - w - 25 = 0, 0*p + 5*w - 29 = -2*p. What is the lowest common multiple of p and 15?
105
Let l = 311057 - 348383907/1120. What is the common denominator of l and 33/4?
1120
Suppose 3*b + 3 = 4*b - 4*i, -2*b + 2 = -4*i. Find the common denominator of 95/14 and b - (14300/(-696))/11.
1218
Let s be 210/15*((-3)/2)/(-3). Let a = -313/7 + 923/28. What is the common denominator of a and 3 + s/(-2) + 93/(-66)?
44
Let k be (-1)/((-14)/5 - -3). Calculate the lowest common multiple o | {
"pile_set_name": "DM Mathematics"
} |
-2)?
-39
Evaluate (-50)/(-20)*264/(-990)*(28 + 5).
-22
What is 21/(-112) - 123475/(-7184)?
17
Calculate (5688/(-252) - -26)/((-9)/(-189)*12/20).
120
Evaluate 2074/1281*-21 - 9.
-43
What is (-75)/30*(-312)/(-30)?
-26
What is ((-77340)/20624)/(2/20*(-6)/8)?
50
Evaluate 6342/42 - 81 - (10 + (-2 - 2)).
64
Calculate ((-201159)/5768)/(15/(-40)).
93
Evaluate 12*(-20)/(-126) - ((-4)/(-16))/(93/(-992)).
32/7
Calculate (330/11440)/((-3)/(-6) + -2).
-1/52
What is (-32)/1216*((-12 - -6) + 2)?
2/19
What is (-1 + (-22)/(-55))*31020/(-132) + -9?
132
Evaluate (-43)/4*6 - ((-23)/6)/((-805)/105).
-65
What is the value of (-164)/(-1485) + ((-4810)/(-427350) - (-1)/(-21))?
2/27
(210/98*280/(-160))/(-10)
3/8
Calculate ((-40)/(-12))/(672/(-4032)).
-20
What is the value of (-4)/(130/228 - (-5)/(-3 - (35 + -28)))?
-57
(2/(-4))/((177/192)/(-59))
32
Evaluate (-285)/(-11) + (-2601 - -2576).
10/11
What is -21 - (49 + (-204660)/2925)?
-2/65
What is the value of 2/(180/27 + -7) + 8/(-272)*-196?
-4/17
(-433)/5 + ((-19221)/215 - -90)
-86
Calculate (-15 + (-1296)/(-81))/(25/6).
6/25
(44242/16088)/(12/(-40)*5/(-6))
11
Calculate (-8)/112*24 - (-106786)/(-1498).
-73
Evaluate ((-768)/189 - (-10)/(-45))/(69/644).
-40
4/120*1*((-252)/(-60) + -5)
-2/75
Evaluate (4960/(-14725))/(-4 + (-501)/(-125)) + 8/76.
-42
Calculate 2/(-5) - (162044/(-3060) + (-8)/18).
53
What is 40040/(-6864) - (-114)/(-36)?
-9
Evaluate (((-224)/(-6))/(-8))/(452/(-2712)).
28
(-6308)/432098 + 496/15207
2/111
Calculate (8/216)/(20/(-1) - 26611/(-1335)).
-5/9
(376/24 + -19)/(1960/(-2688))
32/7
Evaluate ((-2)/39)/(3/18)*(-44 + (-68487)/(-1554)).
-2/91
Evaluate 2/12*(-866)/8660.
-1/60
Calculate (34 - 4/1*(-2686)/136)/(1/(-1)).
-113
What is 450/(-6975) + 1496/124 + -3?
9
What is the value of 26/(-559) + (-77653)/2881?
-27
Evaluate (4*5/11*3/12)/(390/780).
10/11
What is the value of 2/(-33) - 35/((-23100)/(-15140))?
-23
Evaluate (47/(-423))/(189/69741).
-41
5/23 - 6757137/140139
-48
((-698)/23034)/(10/420)
-14/11
Calculate (-2)/(-48)*-6*(95/20 + (-11)/(-44)).
-5/4
What is (-12469)/(-296) + 18/(-144)?
42
Evaluate (-84)/(-9)*(316/(-64) - (-4 - 0)).
-35/4
Evaluate ((-233)/(-932) + (-158)/(-8))*(15/(-9) + 2).
20/3
What is (-6)/(129/(-75164)*-38)?
-92
What is the value of (-5 - 58 - -110) + -57?
-10
(-435)/(-725)*((-95)/19 + 575/114)
1/38
((-6)/9)/((-4 + 2)*(-3)/(-2322)*-6)
-43
(-9)/(-15) - (-16 + (-27306)/(-410))
-50
What is (2 - 4)/(697/11152)?
-32
What is the value of 17/((-1105)/52)*(-5780)/(-136)?
-34
What is -15 + 53 + 6/(-6)?
37
Calculate ((-756)/(-56))/(2160/2720).
17
(-2 - 22/(-3))*(-1053)/108
-52
Calculate (-171)/836*(-352)/(-192).
-3/8
Calculate 2384724/40404 - 1062/18.
2/91
Calculate (-9 + (5/10)/((-57)/2318))/(2/(-3)).
44
What is 6 + -3 - ((-58072)/(-3904) + -11 + 0)?
-7/8
-10 + (202/(-1515) - 1208/(-60))
10
((-6831)/(-495))/(-2 - (-1 - 4))
23/5
What is the value of ((-240825)/(-200070))/(13/(-3))?
-5/18
((-2)/55)/(3/(-420)*476/(-170))
-20/11
Evaluate (10/((-2400)/220) + 0 + 1)/((-12)/(-126)).
7/8
(-60)/(-150)*2/(-12) + (11 - (-22576)/(-1785))
-12/7
Calculate 12 + (-44)/(-4) + -27 + (-87)/(-3).
25
What is the value of 18975/(-68310)*(-1)/(-5)?
-1/18
What is the value of -2 - (1324/(-1986))/(8/(-1044)*(-3 + 0))?
27
Evaluate (-4 - (-11)/3) + 3502/3090.
4/5
What is (-520)/24*23877/14781?
-35
What is (105/(-100))/(-1) - (-51)/(-68)?
3/10
What is the value of (-4)/(-20) - ((-103145)/2275 + 46)?
-6/13
Evaluate 531/(-24) - (48 - 22 - 49).
7/8
What is 9/(-51) - ((-3192)/(-119) + 10)?
-37
Calculate 115317/972 - 120 - (6/14 - 222/126).
-1/36
What is (-2*140/16)/((-7500)/3600)?
42/5
What is the value of (-5508)/(-11475) - 34920/79000?
3/79
Calculate 1*(0/(-3) + 2/21)*(-651 + 612).
-26/7
(-36)/(-10)*(304 + (-344755)/1146)
57/5
What is ((30/(-24))/(-1))/(1927 + -1932)?
-1/4
Evaluate 9/((-288)/224)*(-158)/14.
79
(-10339)/637 + (-100)/130
-17
Calculate (-304)/(-2438)*1 - (-651)/(-6590073)*382.
2/23
Calculate 13/((-91)/12)*(-16 + -19)*87/(-87).
-60
What is the value of ((-25)/(-30))/(3672/(-1632))?
-10/27
Calculate 27050/(-119020)*(-506)/5.
23
Calculate 310/2635 - 560/2737.
-2/23
Calculate (48/(-1320))/(-7 + -609*26/(-2275)).
10/11
Calculate (-92)/1178*-19*-31.
-46
Calculate (-29)/((-2262)/416)*-4*(-69)/16.
92
2264/(-1981)*(-42)/11 - (4 + 2)/1
-18/11
Calculate (-15 + (-348)/(-24))*(64/(-10))/((-110)/275).
-8
What is the value of 310/496 + 1265/88 - -48?
63
Calculate (-819)/(-1365) + 15/75*(352 - 0).
71
What is the value of 36/1800*-70*24/21?
-8/5
What is the value of 275 + (96 - 24432)/156?
119
What is ((-5*(-4)/(-5))/(6/93))/1?
-62
Calculate ((1008/(-735))/(-16))/((-36)/30).
-1/14
What is the value of 19 + (-203)/11 + (-15)/(2*(-792)/(-64))?
-2/33
Calculate (-1790)/396 + 520/115 + (-74)/3404.
-2/99
Calculate 11 + ((-14473)/287 - -39) - 1710/(-21).
81
Calculate (-14*99/3696)/(109/16 + -6).
-6/13
2*((-9)/(-486)*1107 + (-8 - 1))
23
Calculate (-1056)/(-128) - (-29)/(-406)*238/4.
4
What is 72 + -21*(-14315)/(-4165)?
-3/17
Evaluate (-52)/(-65)*(9545/(-138))/83.
-2/3
Evaluate 62/(-52) + (-5)/10 - (-177)/((-186381)/162).
-24/13
Calculate (-3)/6 - ((-2)/(-2424))/((-947)/566306).
-2/303
Evaluate 2/4 + 0 + (38 - 3078/80).
1/40
Calculate (-55)/(3465/498) - -8 - (-733)/21.
35
What is the value of (-6)/(-27) + 848/(-9)?
-94
What is (165/20 + -7)/((-255)/60 - -4)?
-5
What is the value of 14/8*-4 + (-2178)/(-264)?
5/4
What is the value of (3/(-80))/(15/(2550/2618) + -16)?
1/16
What is (-10)/(-2) - 26 - (-327)/(-109)?
-24
(350/270*48/40)/(-2*(-5)/180)
28
Calculate (4 - (1 + (-2)/(-2)) - 2) + (658 - 665).
-7
What is the value of 216/576*(10/(-25) - 362/(-5))?
27
What is 1551/(-44)*(-20)/(-15)?
-47
(1015/87)/(-7 - (-80)/12)
-35
What is ((-11450)/(-148850))/(2/2002)?
77
What is ((-128)/(-1152))/(9/(-1944))?
-24
(((-18)/(-4) - 0)*-8 + -4)*(-680)/(-1360)
-20
What is the value of (20 + -17)/(198/(-3036))?
-46
Evaluate (4*(-9)/90)/((-3 - -7) + (-84)/30).
-1/3
What is 3*(-56)/(-360)*(2244/(-231))/34?
-2/15
(-88)/((-28160)/(-1360)) + (-26)/(-2)
35/4
What is ((-1376)/24)/(((-25600)/150)/(-128))?
-43
What is the value of ((-1)/3)/(-8 - 116844/(-14616))?
58
Calculate 69/45*15 - 222/6.
-14
Calculate ((-118)/(50032/318))/(3/44).
-11
What is the value of (84 - 152)/816 + 755/(-12)?
-63
Evaluate ((-1225)/(-225))/(4/(-36)).
-49
Evaluate (-4)/(-6)*(8050/(-3450))/((-2)/(-72)*-2).
28
(-5 + (2 - -2))/((5/(-46))/(139 + -134))
46
Calculate (312/(-36))/((-8)/(-20) - ((-1888)/180 - -11)).
78
Calculate (1/((-1)/3))/(11707/184 - 64).
8
Calculate (-6 + (-7)/(-7) + 75/18)*(-1412)/(-5295).
-2/9
What is ((2/9)/(2/3))/(256/(-6912))?
-9
Calculate ((-6)/40 + 150/200)/((-17)/1275).
-45
Calculate (13640/(-279) - -45)*-9.
35
-2*(127 - (-77 + 184))
-40
What is the value of 28/25*(386/1930 + (-92)/(-40))?
14/5
(66/(-44)*4/(-7))/(-21 + (-3066)/(-147))
-6
What is 166/2 + -21 + 74 + -80?
56
-1*(11/4 + (-3490)/1240)
2/31
Evaluate (-40)/(-990)*((-143)/(-286))/((-10)/(-22)).
2/45
What is the value of (-6*5/(-60))/(10*(-12)/840)?
-7/2
(-8 - (-63)/18)/(327/168 + 41/(-574))
-12/5
What is the value of (56/(-10))/(10166/(-76245))?
42
(-3875)/(-16275)*15/(-125)*-2
2/35
Calculate 19/(-22) - ((81 - 67) + -23 - 591/(-66)).
-9/11
What is ((-80)/64)/(2/(-212))*(23 - (-5355)/(-225))?
-106
Evaluate 26*(-48)/1872 + (39/(-27) + 1)*-42.
18
0/(-44) + (-2 + 12)/(-2)
-5
-30*57/(18810/44)
-4
Calculate -4 - (16/10 - (-34 + (-19074)/(-340))).
33/2
Calculate (((-4756)/435)/41)/((-2)/(4 + 0)).
8/15
What is the value of 62 + -10 + -3 + 4 + 34*84/357?
61
-1 + 14 - (70 + (-3619)/63)
4/9
What is (((-2)/(-6))/((-114)/57))/(592/312 + -2)?
13/8
(-5 + 2)/(-3)*(1862/147 + (-10)/6)
11
Evaluate ((27/(-504))/((-15)/(-25)))/((-1)/((-60)/(-25))).
3/14
Evaluate -5 + -4 - (-10 - (-9)/216*52).
-7/6
2*1*((-4161)/(-95))/73
6/5
What is 2/((1148/2009)/((-124)/14)) - (-1 - -12)?
-42
What is the value of (-16)/10 - 90944/(-74240)?
-3/8
519/18 + (-8892)/(-4104)
31
What is the value of 1/((-4)/(-328)) - (-11 + (240/20 - -10))?
71
Calculate ((-1364)/(-44) - 138/6)*(-2)/60.
-4/15
(-3660)/(-48)*8/(-20) - -20
-21/2
What is the value of ((-4719)/(-1452))/((-6)/(-8)) - (-476)/(-96)?
-5/8
What is ((-3)/6)/(25 - 34980/1400)?
-35
Calculate 38/(-589) + 14*(-130)/9269.
-6/23
((-7)/35*5)/(1420/5920 + (-3)/8)
37/5
What is the value of 1530/(- | {
"pile_set_name": "DM Mathematics"
} |
ctor of 50 and l.
10
Suppose 2*k - 3*q = 171, -3*k - 2*q - 86 = -4*k. Let s be k/(-35)*(-2 + -3). Let w = 216 + -132. Calculate the greatest common factor of s and w.
12
Suppose -q + 4*q - 72 = 0. Suppose s = 4*m - 2*m - 20, -2*s + m - 25 = 0. Let b = q + s. What is the greatest common divisor of 7 and b?
7
Let d(g) = -g**3 + 2*g**2 + 6*g + 9. Let c be d(-3). Calculate the greatest common divisor of c and 18.
18
Suppose -o - 60 = -5*o. Calculate the highest common factor of o and 5.
5
Let g(n) = 2*n**2 + 13*n - 14. Let i be g(-10). Let z(q) = -q**3 + 8*q**2 + 2*q - 2. Let d be z(8). What is the highest common factor of i and d?
14
Let t = 13 + -3. What is the highest common factor of t and 25?
5
Let r = 5 - 3. Calculate the highest common factor of 5 and r.
1
Let h = -39 + 109. What is the greatest common divisor of h and 175?
35
Let k = -16 - -37. What is the highest common factor of k and 21?
21
Let u(s) = -14*s - 65. Let r be u(-18). Calculate the highest common divisor of 17 and r.
17
Suppose 5*d - 10 = 50. Calculate the greatest common factor of 384 and d.
12
Suppose -140 = -3*n - 38. Calculate the highest common divisor of 136 and n.
34
Let u = -61 + 71. Calculate the greatest common divisor of 5 and u.
5
Let z be -16 - -17 - (26/(-2) + 2). What is the greatest common divisor of z and 30?
6
Suppose -5*k - 10 = -5, 4*p - 3*k = 7. Calculate the highest common factor of 6 and p.
1
Suppose 5*f - 9*f + 12 = 0. Suppose 0 = f*p + 2*r - 150 + 52, p - 21 = -3*r. What is the greatest common divisor of p and 4?
4
Suppose 65 = 3*l - 100. What is the highest common divisor of 5 and l?
5
Suppose 3*f - 19 = 14. Suppose -f - 51 = -2*l. Let u = 11 + l. Calculate the greatest common divisor of u and 6.
6
Suppose 0 + 20 = 2*o + 4*z, -4*z = -3*o - 10. Suppose 0 = a - t - 20, o*t - 73 = -5*a - 8. Let w = 17 + -7. Calculate the greatest common divisor of a and w.
5
Let s = -7 - 16. Let k = s + 38. Calculate the greatest common factor of k and 120.
15
Let m(z) = -2*z - 7. Let i(u) = u + 2. Let b be i(-8). Let h be m(b). Suppose -14 = -h*y + 6. Calculate the greatest common factor of 32 and y.
4
Suppose 0 = 4*b - 7*b - 4*j + 33, 2*b - 5*j = 22. What is the highest common divisor of 99 and b?
11
Suppose 0*n = 2*n + 2*v - 20, -n = 3*v - 6. Let q be (n*1)/((-2)/(-6)). Let m be (8/(-3))/(1/(-9)). Calculate the greatest common factor of m and q.
12
Let k(b) = b**3 - 8*b**2 - 3*b + 6. Let y be k(8). Let p = -11 - y. Suppose -15 + p = -f. Calculate the highest common divisor of 32 and f.
8
Suppose f + 19 = -5*o, 4*f + f = 2*o - 14. Let x be (-1)/3 - 28/o. Let g be (0 + 1 + 0)*1. Calculate the greatest common factor of g and x.
1
Let f be 2*((-20)/14)/(12/(-105)). Calculate the highest common factor of f and 5.
5
Let p(a) = 2*a**2 - 6*a + 7. Let s be p(5). Suppose -2*l + 4 = 0, b - 2*l = -4*l + 7. Calculate the greatest common divisor of b and s.
3
Suppose -4*z + 12 = 0, -2*l + 39 = 3*z - 6*z. What is the greatest common divisor of l and 18?
6
Suppose -3*t + 8*t = 25, -2*t = -3*l + 152. Suppose 4*n + 80 = 9*n - f, 0 = f. Let i = n - 10. What is the greatest common factor of i and l?
6
Let l(g) = -g + 1. Let a be ((-1)/(-2))/(1/(-8)). Let h be l(a). Suppose k + 7 = 3*c, 4*k + 4*c - 25 - 11 = 0. What is the highest common divisor of h and k?
5
Suppose -2*h - 3*h - 20 = 0. Let b be h/14 + 23/7. Let p(w) = 10*w - 4. Let m be p(b). What is the highest common factor of 13 and m?
13
Suppose 5*d - 32 = 3. What is the greatest common divisor of 77 and d?
7
Let i = 19 - -29. Calculate the greatest common factor of 3 and i.
3
Let c = 19 - 11. Let l(b) = 3*b + 13. Suppose 4*q - f = 32, 2*q + 4 = 5*f + 2. Let g be l(q). Calculate the greatest common factor of g and c.
8
Let g = -22 + 26. What is the highest common factor of g and 4?
4
Suppose -j - 2 + 1 = 0, -61 = -2*p - 3*j. Suppose -5*b - 18 = -n, -5*n - 7*b + p = -3*b. What is the highest common divisor of n and 32?
8
Let a be (2 - -1) + 60/(-3). Let g = a + 24. Calculate the greatest common divisor of g and 7.
7
Let r(f) = f**2 - f. Let m be r(-3). Let g = m - 7. Suppose 2*k - 39 = -5*a + 6*k, 0 = g*a - 2*k - 47. What is the greatest common divisor of a and 33?
11
Suppose 2*t + 437 = 4*t - 3*v, -3*t = 4*v - 664. Suppose t = 5*o + 5*z, 136 = -2*o + 5*o + 5*z. Calculate the highest common divisor of 28 and o.
14
Let o be 100/6 + 8/6. Calculate the highest common divisor of o and 18.
18
Suppose -66*o + 61*o = -150. Calculate the greatest common factor of 12 and o.
6
Let i(g) = g**3 + 8*g**2 + 7. Suppose 3*m - 7 = 2*m. Suppose l = -0*l - m. Let s be i(l). What is the highest common factor of s and 7?
7
Suppose 5*m - k = 48, 5*m - 2*k - 18 = 28. Calculate the highest common divisor of m and 10.
10
Let t be 4 + -5 - (-17 + -1 + 2). What is the highest common divisor of 165 and t?
15
Let w be (-15)/(-2)*8/6. Suppose 0 = 2*i - 69 + 9. What is the highest common divisor of i and w?
10
Let m be (1 + -1 + -1)*-38. Suppose 5*t - 3*x - 74 = 0, 0 = t + t + 2*x - 36. Suppose i - m = t. Calculate the greatest common divisor of 36 and i.
18
Suppose 0 = -3*l - 2*k - 51, -6*k + 2*k = 0. Let j = 1 - l. Calculate the greatest common divisor of 72 and j.
18
Let a = 11 - -2. Let i = 31 - -21. What is the greatest common divisor of a and i?
13
Suppose -3*q - 79 + 268 = 0. What is the greatest common divisor of q and 42?
21
Let g(u) = -u**3 - 11*u**2 + 5*u + 18. Let r be g(-12). Calculate the highest common factor of 34 and r.
34
Suppose -2*c + 14 = 5*c. Let t be (-27)/(-18) - (-5)/c. Calculate the highest common divisor of t and 16.
4
Suppose 2*g + 8 = 94. Suppose 5*z - g = -18. Suppose 3*c = z*c - 54. What is the highest common factor of 3 and c?
3
Suppose -2*w + 24 = 3*l, -73 = -5*w - 0*l - l. Let y = 177 + -102. Calculate the highest common factor of w and y.
15
Suppose 2*n = -2*n + 4, -2*t - 5*n + 29 = 0. Calculate the greatest common divisor of 36 and t.
12
Let n = 2 + 2. Suppose f + r + 430 = -4*f, -f - 105 = n*r. Let d = -43 - f. What is the greatest common factor of d and 21?
21
Let q be -2 - (-2)/(-4)*-6. Calculate the highest common divisor of q and 2.
1
Suppose n - 7*n = -114. What is the greatest common factor of 76 and n?
19
Let s = 52 + -25. Calculate the greatest common divisor of 243 and s.
27
Let h = -7 - -11. Suppose h*x - 63 = d, 5*d - 2 = 3. What is the highest common divisor of 24 and x?
8
Suppose 36*g - 31*g - 600 = 0. Calculate the highest common divisor of g and 15.
15
Suppose 0 = -9*w + 12*w - 360. Suppose 0*a + 75 = 5*a. What is the highest common divisor of a and w?
15
Let q be ((147/3)/(-7))/(-2 + 1). Calculate the greatest common factor of 28 and q.
7
Let b = -1 - -14. Let g be -3 + 5 - 0/1. Suppose -4*i + 5*l + 500 = 0, 0*l + 252 = 2*i - g*l. What is the greatest common factor of b and i?
13
Let s be 11 + (1 + -1 - 1 - -4). Calculate the greatest common factor of 98 and s.
14
Let c(i) = 2*i**2 - 50*i - 7. Let b be c(28). Calculate the highest common factor of 23 and b.
23
Let d be 6/21 - (-16)/(-7). Let r be 26/8 + d/8. Suppose -r*s = -18 - 0. What is the greatest common factor of s and 15?
3
Let i be 120/9*1/4*6. Let o be (-5)/((-30)/(-8))*-135. Calculate the highest common factor of i and o.
20
Let x(l) = l**2 - 9*l + 12. Suppose 5*g - 24 = 2*g. Let f be x(g). Suppose -c + f = -8. What is the greatest common divisor of 48 and c?
12
Let n be 5 - ((-474)/6 - 6). Calculate the highest common factor of 10 and n.
10
Let f(b) = -2*b**2 - 14*b + 7. Let p be f(-7). Calculate the greatest common divisor of 1 and p.
1
Let n = -599 + 616. Let j(s) = 21*s**2 + 2*s - 3. Let v be j(2). Calculate the highest common factor of n and v.
17
Suppose -3*k = -11*k + 56. Calculate the greatest common divisor of k and 7.
7
Let n be (28/3)/((-2)/(-3)). Let b(g) = g**2 + 7*g - 8. Let c be b(8). Calculate the highest common factor of c and n.
14
Suppose 0 = 4*z - 211 - 289. Let b = z + -29. What is the greatest common divisor of b and 12?
12
Let u = 5 + -2. Suppose u*h + 0*h - 12 = 0. Suppose h*j - 15 = j. Calculate the highest common divisor of 5 and j.
5
Let y = 5 - -7. What is the highest common factor of 84 and y?
12
Suppose 2*d = 5*d - 45. Calculate the highest common factor of 75 and d.
15
Let w be -47 - (0 + 0)/1. Suppose 77 = -5*h + | {
"pile_set_name": "DM Mathematics"
} |
False
Suppose 3*x - 206 = 64. Suppose -m = -6*m - x. Is (-1642)/m - (-2)/(-9) prime?
False
Is (201880/44 - 5) + (-2)/11 composite?
False
Let q = 275 + 290. Suppose -2*r = -3*r + q. Suppose 6*c - r = c. Is c a prime number?
True
Let c(u) = -10*u + 1. Is c(-3) a prime number?
True
Let b = 794 + -508. Suppose b = 4*j - 4*y - 78, -j + 83 = 3*y. Is j a prime number?
True
Suppose -2 = 3*w + 4. Let i be 3/6*(4 - w). Suppose -114 = -i*b + 51. Is b a prime number?
False
Is -1*(1 - (213 + -1)) a prime number?
True
Suppose 0 = 5*r - 5*s - 815, -s - 4 = 1. Is r a prime number?
False
Suppose 4*k = -0*k + 492. Is k prime?
False
Suppose -d + 2*j + 4 = -2, 13 = 4*d + 3*j. Suppose 94 = 4*t + 5*m, 53 = 3*t - d*m - m. Is t a prime number?
False
Let a be (-9)/(-6) + (-3588)/(-8). Suppose -a = -7*v + 2*v. Suppose 4*z + 5*y - 116 = 0, -z + 3*y = -4*z + v. Is z a composite number?
True
Suppose 0*q - q - 2*j + 11 = 0, 4*q + j = 65. Let h(d) = d**3 - 13*d**2 - 12*d - 8. Let m be h(14). Suppose -w + m = -q. Is w composite?
False
Suppose 0 = -a + 2*a. Suppose -4*m + 3*n + 45 = a, -3*m + 2*n + 11 + 24 = 0. Is m prime?
False
Let o = 39 + 9. Let t = 7 + o. Is t prime?
False
Suppose -12*z = -13022 - 29110. Is z a prime number?
True
Is -2 + 6 - 844/(-4) prime?
False
Suppose -225 + 5 = 2*n - 2*x, -2*x + 112 = -n. Let j = 159 + n. Let o = j - 18. Is o a prime number?
False
Let o = -10 - -5. Let r = o + 3. Is r + (70 - -1) + -2 prime?
True
Suppose 135 = -5*v - 0*v. Is 5962/18 + 6/v a prime number?
True
Let z(x) = x - 1. Let l be z(1). Suppose 5*d - 427 = -l*m + m, -4*d + 3*m + 346 = 0. Is d prime?
False
Let q(g) = 21*g + 32. Is q(17) prime?
True
Let v(m) = -9*m**2 - 28*m - 7. Let c(k) = 5*k**2 + 14*k + 4. Let j(y) = 7*c(y) + 4*v(y). Is j(-11) a composite number?
True
Is 8/(-4) + 2 - (-3 + -46) prime?
False
Let f(q) = -q**3 + 9*q**2 - 10*q + 9. Let m(n) = 3*n**3 - 27*n**2 + 30*n - 27. Let y(r) = -11*f(r) - 4*m(r). Is y(7) prime?
True
Suppose -3*g - 54 = -3. Let a = 120 + g. Is a composite?
False
Let v = 3729 - 636. Is v a prime number?
False
Suppose 2*i - 4*u = 382, -4*i = -3*i + 2*u - 179. Is i a prime number?
False
Let h(g) = -g**3 - 8*g**2 - g + 2. Let x be h(-8). Suppose -2*n - x = 6. Is -4*(294/n - 2) a composite number?
True
Suppose 0 = -2*v + 1304 + 98. Is v a composite number?
False
Suppose -4*h = -2*s + 32, 5*h + 32 + 17 = 3*s. Suppose 2*w + s - 128 = 0. Is w prime?
False
Suppose -4 = -m - 4*d, 0*m = 3*m - d + 1. Suppose m = -3*t + f - 6*f - 52, -3*t = f + 68. Is 0 - (t + 1 - 0) a composite number?
False
Is ((-471)/2 + 2)*-2 a prime number?
True
Let a(l) = -36*l + 5. Suppose -x = 2*g + 11, 0 + 9 = -3*g - 3*x. Is a(g) prime?
True
Suppose -3*d + 170 = -2*d - 5*n, -4*d + 614 = 2*n. Is d a prime number?
False
Suppose 2*q - 2 = 2*o, 0 = 2*q + 1 - 3. Let m = o - 4. Is (m + 3)/((-2)/8) composite?
True
Suppose 3*z - 8 = s - 140, -2*s - z = -229. Suppose 3*i - s = 156. Is i a composite number?
True
Suppose -4*c + 4*o + 1280 = 0, -4*c + 1274 = -0*c + 2*o. Is c prime?
False
Let d be (2/3)/(4/(-624)). Let b = d - -281. Is b composite?
True
Let h(k) = 27*k**2 - k - 3. Is h(3) prime?
False
Let k(y) = -y + 7. Let p be k(-8). Let t be 1/((0 - -3)/p). Suppose 0 = -3*d + t*d - 182. Is d a prime number?
False
Suppose -4*k + 3*h + 323 = 0, 4*k + 0*h - 318 = 2*h. Is k a composite number?
True
Let p = -7 + 9. Suppose 4*g - 245 = -3*f, 2*f = -g - p*f + 58. Is g composite?
True
Let a(c) = -c**2 + 5*c - 5. Let g be a(4). Is 6/3 + g - -2 a prime number?
True
Suppose u = 5*j - 8, j + 5*u = 3*j + 6. Suppose -21 = -j*k + 11. Suppose 0*h = -4*h - k, -2*h + 324 = 4*q. Is q prime?
True
Let z(p) = -12*p**3 - p + 1. Let m be z(-2). Suppose 54 = 3*u - m. Is u prime?
False
Suppose -2742 = -10*f + 4*f. Is f prime?
True
Let t(a) = 10*a**3 - 2*a + 3. Let s = -7 + 9. Is t(s) composite?
False
Suppose 0 = l - 0*a + 4*a - 8, 4*l - a = 32. Suppose 0 = 6*q - q - 25. Suppose 3*y = q*b + 43, -l*y + 3*y + 61 = -3*b. Is y a prime number?
True
Let v = 21 - 30. Is (-2)/(-9) + (-313)/v a composite number?
True
Suppose -5*w + 109 = u, 2*w + 3*u - 32 - 9 = 0. Is w prime?
False
Let t(u) = -40*u. Let f be t(3). Let m = f + 169. Is m prime?
False
Let h be 2/1 - (-3)/3. Suppose -3*y - h*r + 1997 = -139, 5*y = 5*r + 3530. Is y a composite number?
False
Suppose 13 = -3*r + 28, 699 = -3*f + 3*r. Let u = -142 - f. Is u prime?
False
Suppose -3*t + 12 = -2*s, 4*t - 2*s + 4 = 18. Suppose 3*c = -t*p + 82, -4*p - c = -0*c - 174. Suppose -2*k + 42 = -p. Is k composite?
False
Suppose b - 51 = -10. Let n = b + 144. Is n a prime number?
False
Suppose 4*n + 141 + 224 = 5*a, a = -5*n - 449. Let u = -1 + n. Let v = -52 - u. Is v composite?
True
Suppose -r = -5 - 7. Let q(s) = s - 7. Let h be q(r). Suppose -b + 97 + 26 = 4*a, -h*a = 4*b - 481. Is b a composite number?
True
Suppose -3*o - 796 = -3*p - 169, 0 = -5*p - 5*o + 1015. Is p a prime number?
False
Let z(v) = v**2 - 8*v + 9. Suppose -14 = a - 3*a. Let q be z(a). Suppose -10 = -q*x + 20. Is x composite?
True
Let v = -28 + 25. Is (-9354)/(-24) - v/(-4) a prime number?
True
Let m(b) be the first derivative of 4*b**2 - 7*b - 3. Is m(5) a composite number?
True
Let i(u) = -u**3 + 4*u**2 + 2*u - 4. Let p be i(4). Suppose -p*r + 276 + 212 = 0. Suppose 27 - r = -5*o. Is o a prime number?
True
Let o(w) = -w**3 - 2*w**2 - w. Let z be o(-1). Suppose z = -0*d - 3*d + 261. Is d a prime number?
False
Let t(d) be the first derivative of 0 - 3*d**2 - 1 - 2*d - 5*d. Is t(-7) a composite number?
True
Let o(x) = -x**3 - 6*x**2 + 8*x + 5. Let j(z) = z**3 - 5*z**2 - z - 2. Let w be j(5). Let s be o(w). Let v(n) = -2*n**3 - 3*n**2 - n + 1. Is v(s) composite?
False
Suppose 0 = -5*x + 2*x + 3, -3*z = 5*x - 650. Suppose 5*t + 20 = q - 10, 4*q - t = z. Is q a prime number?
False
Suppose -3*o = -626 + 71. Is o a composite number?
True
Is -2*1*359/(-2) composite?
False
Suppose -3*h + 33 + 99 = 0. Suppose -3*n + h + 193 = 0. Is n a prime number?
True
Let h be -3*(-2)/3*-1. Let y be (2 - 2 - h) + -1. Is (2 - y) + (-48)/(-1) prime?
False
Let d = 168 + -47. Is d prime?
False
Let w be -3 + (-2 - (-4 + 1)). Let d(x) = 28*x**2 - 3*x - 3. Is d(w) a prime number?
False
Let q be 4/14 + 368/(-14). Is (0 + -53)/(13/q) a prime number?
False
Let q(z) = -z - 1. Let r be q(-7). Let k(f) be the second derivative of 7*f**3/6 - 5*f**2/2 + f. Is k(r) composite?
False
Let y be 18/27*333/2. Suppose -2*n + 4 = 3*b, -5*n - 2*b + 4 = -3*n. Suppose -p - n*p + y = 0. Is p a prime number?
True
Let g be (-1)/(2/(-1) + 1). Let z = 3 + g. Let o = z - -3. Is o a composite number?
False
Suppose 107 = -v - 199. Let b = v - -517. Is b prime?
True
Let f = 2 + -5. Is (-376)/(-12) + 1/f a composite number?
False
Let b be ((-4)/(-6))/((-6)/(-27)). Suppose n = -i + 86 - 31, 4*i = -b*n + 224. Is i prime?
True
Let a be (-34)/(-8) - (-3)/(-12). Suppose -2*f - 2*i = -0*f - a, -5*i - 6 = f. Suppose -f*j - 265 = -9*j. Is j composite?
False
Suppose -346 = -5*c + 389. Let z = c - 101. Suppose -v + z = -0*v. Is v a composite number?
True
Let u = 5547 - 3748. Is u a prime number?
False
Is (-2)/(-6)*(868 - -17) prime?
False
Let y = 31 + -43. Let j = -2 + y. Is (-494)/j - (-8)/(-28) composite?
True
Let o(m) = 33*m + 13. Is o(6) a composite number?
False
Let o(k) = -k + 20. Let r be o(0). Suppose -4*p - r = 0, -4*v + 6*p - 4*p + 158 = 0. Is v composite?
False
Suppose 0 = -2*v + 48 + 106. Suppose -v = -2*x - 9. Suppose -415 = -3*d - x. Is d a prime number?
True
Let u be (-14)/(-6) - 4/(-6). Let g(r) = 4*r**2 - 3 + 4*r - 1 - r**u + 3. Is g(4) composite?
True
Suppose 0 = d - 343 + 140. Is d composite?
True
Let q(u) = -11*u + 4. Let i(a) = -3*a + 1. Let k(r) = 9*i(r) - 2*q(r). Is k(-2) composite?
False
Let k(o) = -o**3 + 11*o**2 + 4*o - 13. Is k(11) prime?
True
Suppose -t = -3*b + 3*t + 78, b + 5*t - 7 = 0. Is b composite?
True
Let k = -74 + 107. Is k composite?
True
Let n(j) = 2*j**2 + 15*j - 1. Let b = -18 + 25. Let t(r) = 2*r**2 + 16*r. Let x(o) = b*n(o) - 6*t(o). Is x(-8) prime?
False
Let q be (-1 - -2)/((-1)/(-9)). Suppose -q = -3*b + 9. Suppose -3*u = b, u = -7*x + 2*x + 48. Is x prime?
False
Suppose 4*a - 6 = 3*f, 2*f = -2*f + 4*a - 8. Let j be (-2 - -2 - f) + 0. Suppose -g = j*g - 75. Is g composite?
True
Let u = 4 - -2. Let p(m) = 6*m + 10. Is p(u) prime?
| {
"pile_set_name": "DM Mathematics"
} |
4. Solve 4 = -k*f + c*f for f.
1
Let u = -16 - -18. Solve -u*q - 5 = -1 for q.
-2
Let z be ((-2)/2 - -1) + 7. Let i be 2/7 + 54/z. Solve -5*f = -f - i for f.
2
Suppose 0 = -4*a + 3*v + 20, -3*v = -2*v + 4. Solve -3*y - a*y - 5 = 0 for y.
-1
Suppose 33 = 2*l + t, -2*l + 5*t - 3*t + 18 = 0. Solve -l = 5*v + 11 for v.
-5
Let m = 4 + -4. Let a be (1 - 1 - -6) + m. Solve -18 = -4*t - a for t.
3
Let f = -8 + 12. Solve -3*z + 1 = -f*z for z.
-1
Let z = -47 + 58. Solve -9 = -4*c + z for c.
5
Suppose -4*m + 9 = -m. Let d be m/(6/4)*3. Let t be 2/(-4) + 63/d. Solve -4*a - t = -2 for a.
-2
Let x(l) = l - 3. Let c be x(5). Let z be (-1 - 1)*(-3)/c. Suppose 3*i - 11 = -2*y, -4*i - i + z*y = -31. Solve 3 = -i*v + 8 for v.
1
Suppose -5*u = -9*u + 48. Solve t + u = 4*t for t.
4
Let n = -11 + 13. Solve -n*j = -5*j for j.
0
Let v be 0 + -2 + 1 + (6 - 2). Solve 0 = 2*t - 3 - v for t.
3
Let d be (1 + -1)/(-2 + 3). Solve w = 1 - d for w.
1
Suppose x - 63 = -5*r - 2*x, 4*r - 46 = 2*x. Suppose 2*p = -20*y + 17*y + 9, -7 = -2*p - y. Solve -r = w + p*w for w.
-3
Let b(y) = -y**2 + 6*y + 29. Let m be b(9). Solve -13 + 3 = m*d for d.
-5
Let o be 51/15 + (-4)/10. Solve 0 = -o*n + 4 - 10 for n.
-2
Suppose -2*n = -3*v + 3*n + 29, -5*v - 5*n - 5 = 0. Suppose -5*o + 9 = -6. Solve o*k + 3 + v = 0 for k.
-2
Suppose 0 = 3*z + 2*y - 3, 4*z - y = -0*y - 7. Let k = z + 4. Solve 0 - 6 = k*s for s.
-2
Suppose 9 = 4*n - 23. Suppose 3*l - 1 = n. Solve -q = -7 + l for q.
4
Let q(l) = -2*l - 6. Let m be q(-4). Suppose 0 = -c + 3, c = 2*p + m*c - 3. Let v(i) = i**3 - 3*i**2 - 4*i. Let u be v(4). Solve u*d + 5*d = p for d.
0
Suppose 0 = -4*m - 0*m + 12. Suppose 0 = m*b - b - 4. Solve 0 = -b*v + 2 - 12 for v.
-5
Suppose 2*k = -8, 5*p - k = 19 - 0. Let u be (4/3)/((-2)/(-6)). Let x = u + 1. Solve -x*b = -p*b for b.
0
Let f = -45 + 49. Solve -f*o = -7*o - 9 for o.
-3
Let h(s) = s**3 - 4*s**2 - 10*s - 2. Let o be h(6). Solve -f - o = f for f.
-5
Let v be ((-5)/(-2))/((-1)/(-2)). Suppose 3*t - 78 = -3*f, -4*t - 64 = -4*f - 0*f. Let l = -7 + f. Solve l = v*n + 4 for n.
2
Let w be 1 - (-4 - (-7 - -2)). Solve 12 = -w*c + 4*c for c.
3
Suppose -r + 5*b + 24 = -0*r, 0 = -5*r - 4*b + 4. Suppose r*x - 14 + 2 = 0. Let u be ((-6)/(-4))/(x/16). Solve -k = k + u for k.
-4
Let z(l) = -l**3 - 6*l**2 + 2*l + 8. Let k be z(-6). Suppose 0 = 3*v - 8*v + 50. Let b be k/10 + 44/v. Solve 24 - b = -5*x for x.
-4
Suppose -20 = -4*j - 0. Solve -5*c = -0*c - j for c.
1
Suppose 15 = 4*v - 1. Solve q + q = -v for q.
-2
Suppose 1 = -4*x - 19. Let p(v) = -v**2 - 7*v - 6. Let f be p(x). Suppose f*l - 2*g = -5*g + 35, g = 5. Solve -11 = 4*s + l for s.
-4
Suppose 0 = 2*t - 5*t. Solve t*i + 3 = i for i.
3
Let g(x) = -2*x + 2. Let c be g(-2). Solve 0 = 3*k - c*k + 3 for k.
1
Suppose -4*j + 5 = -3*j. Suppose -j*h - q + 35 = 14, -35 = -3*h + 5*q. Let l = h + -1. Solve y - l*y = 15 for y.
-5
Suppose 2*c - c - 6 = 0. Let g = 10 + c. Suppose 5*f = -3*d + 4, 3*f = -0*f + 5*d + g. Solve 7*v - 10 = f*v for v.
2
Let t(h) = -h + 4. Let q = -4 - -4. Let y be t(q). Solve 20 = -x - y*x for x.
-4
Let d(a) = -a**2 - 2*a - 2. Let r be d(-3). Let x be 8/20*r/(-1). Solve x*t + 1 + 3 = 0 for t.
-2
Suppose 0 = 2*z, -2*q - 2*q + 2*z + 20 = 0. Solve -p - q = -0*p for p.
-5
Let p(x) = x**3 - 13*x**2 + 15*x - 35. Let s be p(12). Solve 0 = 5*l - 4 - s for l.
1
Let f(n) = n**2 + 5*n + 9. Let y be f(-2). Solve 0 = y*r + 3 for r.
-1
Suppose -20*k + 28*k - 16 = 0. Let q(n) = -n**2 - n + 5. Let j be q(0). Solve -k*v - j = 3*v for v.
-1
Suppose -b - 1 = 1. Let s be (1 - 1)*1/b. Solve 0 = -5*w - s*w - 25 for w.
-5
Let f(n) = 4*n - 17. Let h be f(5). Let q(p) = -p + 1. Let u be q(0). Suppose -z = -u - 0. Solve -h*r = z - 7 for r.
2
Let i(y) = y**2 + 7*y - 4. Let z be i(-8). Solve -3*u + 1 = z for u.
-1
Let f(m) = m**3 - m**2 - 5*m + 2. Let s be f(3). Solve -s*a + 8 = -17 for a.
5
Let f be (-105)/(-75) + 3/5. Solve -3*z + f*z = 0 for z.
0
Let h be 2/(-4)*0/3. Suppose 3*q - 30 = -h*q. Solve 2*f - q = -0*f for f.
5
Let f be 5/25 + 9/5. Solve p + f*p - 6 = 0 for p.
2
Let g(t) = 2*t - 6. Let x be g(5). Suppose 0 = x*o + o - 15. Suppose -3*q + 3*v + 18 = 0, 2*q - o*v - 6 = 9. Solve q*k - 10 = k for k.
5
Let y(o) = o + 18. Let i be y(-18). Solve i = -t + 2*t for t.
0
Suppose 2*o + c + 21 = 6*c, -3*c + 9 = -3*o. Solve -2*z + o = 10 for z.
-4
Suppose 5*z = 2*z - 9. Let l = z - -3. Suppose 3*m - 5 - 7 = l. Solve u - m = -1 for u.
3
Let a be (-32 - -2)/(-2) + -1. Suppose -u = u - a. Let f(k) = -k**2 + 10*k - 9. Let y be f(u). Solve 3*r - y = -0 for r.
4
Let g(z) = -z**2 + z + 4. Let n(w) = 1. Let a(c) = -g(c) + 2*n(c). Let s be (-1)/(2/(8/2)). Let u be a(s). Solve u*h + 2 = -2 for h.
-1
Let b be 10 - 4/(-2)*-1. Let p(y) = -y + 14. Let u be p(12). Let s be 1 - -1 - (u - 4). Solve b = -0*z + s*z for z.
2
Suppose 2*x = p + 5 - 13, -p = -3*x - 12. Solve -3*m + p*m = -12 for m.
4
Let w = -70 + 75. Solve w*v - 3 = 2 for v.
1
Let s be (2 + -8)*(-16)/6. Suppose 4*n = 3*n - 2*c - 8, 4*c = -n - s. Solve -6*g + 3*g - 6 = n for g.
-2
Let i = 14 + -12. Solve -2*n - 4 + i = 0 for n.
-1
Let n be 7/(14/20)*-1. Let q = -11 - n. Let x be (-3)/1 + (2 - q). Solve -4*p + x*p = -20 for p.
5
Suppose 4*k - 17 - 12 = 3*z, 4*k - 33 = -z. Suppose -20 = -2*d + 8*w - 4*w, 2*d = 5*w + 23. Solve -k = -0*o - d*o for o.
2
Let d be 1/4 + (-38)/(-8). Let z = d + -3. Solve g - 1 = z*g for g.
-1
Let a = 9 + -3. Let r = -7 + 4. Let x = a + r. Solve p = x*p - 10 for p.
5
Suppose 0 = -6*v - 168 + 192. Solve v*c + 0 = -12 for c.
-3
Let r(w) = -3*w - 29. Let c be r(-12). Solve 0 = -2*a + c*a + 25 for a.
-5
Suppose 5*k - 144 = -24. Suppose k = t + 3*t. Suppose -t = -2*y + 2*f + 6, -8 = 4*y + 4*f. Solve -y*w = -w for w.
0
Suppose -2*s + 13 = 3*c, -6 = -2*c - 5*s + 10. Solve -4*m - 1 = -c*m for m.
-1
Let s = -12 + 16. Solve s*l + 7 = -1 for l.
-2
Let f be ((-6)/12)/(-1 - 27/(-30)). Solve -2*w + 3 = -f for w.
4
Suppose 3*q - h + 4*h - 18 = 0, 2*h = -3*q + 22. Let v(y) = -y**2 + 11*y - 4. Let c be v(q). Solve -p - c = p for p.
-3
Suppose -2*d - 5*b + 33 = 0, -d = -3*b + 18 - 7. Let s = d + -4. Suppose -l - l = s. Solve 0 = 5*u + 25 - l for u.
-5
Suppose -4*q = 3*q - 175. Solve 2*g = -3*g + q for g.
5
Suppose -4*f + 3*h + 6 = 0, 4*h + 11 = 3. Let b(l) = -l**3 - l**2 + l + 2. Let t be b(f). Solve -t = -3*q + 5*q for q.
-1
Suppose u - 2*g = -3*g + 17, 0 = -4*g + 20. Let x = 85 + -80. Solve d = x*d - u for d.
3
Let f(w) = -2*w + 19. Let v be (-194)/(-22) - 4/(-22). Let u be f(v). Solve -l = -4 - u for l.
5
Suppose 0 = -3*v - y - 0 + 7, -v + 3*y + 19 = 0. Suppose 0 = -m - 4*d + 2, -4*d = 4*m - 17 - 3. Suppose -3*r = -6 - 6. Solve -r*b = -m*b - v for b.
-2
Let w(u) = u**2 - 4*u + 3. Let a be w(3). Let p = 3 - a. Suppose 2*c = c + p. Solve 0 = 2*x + 3 + c for x.
-3
Let p = -33 - -38. Solve p*l = -0*l - 25 for l.
-5
Let p be (-4 - -5)/((-2)/(-16)). Let a(l) = l**3 - 8*l**2 + l - 2. Let b be a(p). Let q(x) = -x + 1. Let w be q(1). Solve 2*j - b*j = w for j.
0
Let j be (-1)/2*(-3 + 3). Solve -2*q + 6 = -j*q for q.
3
Let i(b) = 19*b**2 + b. Let p be 6/18 - 2/(-3). Let t be i(p). Solve 2*u + t = -2*u for u.
-5
Let j = -7 + 12. Suppose 0*q + 2*i = j*q + 10, -2*q - 2*i = -10. Solve 3*n - 2*n + 3 = q for n.
-3
Let i(t) = t**3 + 2*t**2 + 2. Let o be i(-2). Solve -r = o*r for r.
0
Let d = 5 + 3. Suppose -2*g + 22 = 3*q, d = 2*q + 4*g - g. Solve -2*l + 7*l = -q for l.
-2
Let t = 64 - 25. Let c = t - 14. Solve -4*r = -9*r - c for r.
-5
Suppose 4*l - 3 = -7, p - 3 = -l. Let c(f) = -f**2 + 2. Let o be 1/(-5) + (-2)/(-10). Let n be c(o). Solve 2*m - p + n = 0 for m.
1
Let o(v) be the first derivative of v**3/3 - 7*v**2/2 - 4*v - 6. Let m be o(8). Solve m*f - 10 = -f for f.
2
Let h be 8 - (-4)/((-16)/(-12)). Suppose -2*t + 45 = -m, 4*m + h = -9. Solve t + 5 = 5*w for w.
5
Suppose 16 + 12 = 7*v. Let h(o) = o**3 + 4*o**2 + 3*o + 2. Let k = -5 + 2. Let x be h(k). Solve -v*r - 4 = -x*r for r.
-2
Suppose w + 28 = 3*l, 2*l + 3*w - 1 = 3. Suppose 3*o + 6*b - b = 37, 4*b = 4*o + 4. Suppose 3*x = -5*h + 21, l*x - 4*h = o*x - 4. Solve 11 = 3*a + x for a.
3
Let i be 1 + 0 - (2 - 14). Let z = -9 + i. Solve 9 = z*l - 3 for l.
3
Suppose -15 = -2*y - y. Suppose -60 = -y*l - 25. Let n(d) = -6*d - 4. Let u be n(-4). Solve -2*k + u = -l*k for k.
-4
Su | {
"pile_set_name": "DM Mathematics"
} |
7. Calculate k(-9).
0
Let t(b) = -b**2 - 9*b - 3. Calculate t(-9).
-3
Let x(d) = -21*d + 4. Determine x(1).
-17
Let a(k) = k**3 + 20*k**2 - 22*k + 7. Determine a(-21).
28
Let s(p) = p**3 - p**2 + p + 2. Determine s(-2).
-12
Let s(n) = 22*n - 411. Determine s(20).
29
Let c(z) = z**2 + 5*z + 12. What is c(-8)?
36
Let f(d) = d**3 - 9*d**2 - 9*d - 2. Determine f(10).
8
Let u(l) = -l**2 - 9*l - 3. What is u(-2)?
11
Let j(t) = 2*t**2 - 6*t + 2. Calculate j(4).
10
Let h(n) = n**3 + 2*n**2 + 5*n + 4. Calculate h(-2).
-6
Let i(w) = 2*w - 12. Determine i(10).
8
Let w(h) = -2*h**2 - 12*h - 2. Give w(-6).
-2
Let k(j) = j**2 + 7*j - 27. What is k(-11)?
17
Let h(f) = -7*f - 46. Determine h(-6).
-4
Let z(h) = 11*h + 2. Give z(4).
46
Let x(b) = -b**3 - 16*b**2 + 37*b + 24. Determine x(-18).
6
Let h(d) = -d**3 - 21*d**2 - 23*d - 21. Determine h(-20).
39
Let j(k) = k**2 + 5*k - 4. What is j(-8)?
20
Let i(m) = -m**2 - 15*m - 60. Calculate i(-5).
-10
Let u(l) = -2*l**2 - 11*l + 2. Give u(-6).
-4
Let d(y) = -2*y**2 + 13*y + 24. Calculate d(8).
0
Let m(t) = t**3 - 27*t**2 + 27*t - 18. Determine m(26).
8
Let f(g) = 29*g - 2. Determine f(-1).
-31
Let q(h) = -3*h**3 + h**2 + 3*h + 2. Give q(3).
-61
Let k(g) = g - 13. Calculate k(19).
6
Let s(d) = d**3 - 14*d**2 + 3*d + 1. Calculate s(14).
43
Let x(r) = 4*r - 11. What is x(5)?
9
Let n(w) = -w**2 - 10*w + 18. Give n(-8).
34
Let p(v) = 2*v**2 - 50*v - 55. Determine p(26).
-3
Let m(p) = p**2 + 6*p + 11. Give m(-2).
3
Let o(j) = j**3 - 6*j**2 + 5*j + 7. What is o(6)?
37
Let k(h) = -h**3 + 20*h**2 - 19*h - 1. What is k(19)?
-1
Let r(l) = -l**3 + 22*l**2 - l + 24. What is r(22)?
2
Let y(c) = -c**3 + 4*c**2 + 2*c - 13. Determine y(0).
-13
Let o(g) = -21*g - 430. Give o(-20).
-10
Let j(l) = -l**2 + 11*l - 7. Determine j(9).
11
Let c(l) = -16*l**3 + 2*l + 2. Determine c(-1).
16
Let q(l) = -l - 5. What is q(14)?
-19
Let l(f) = -f**2 + 3*f - 51. Give l(0).
-51
Let c(z) = -2*z**2 - 53*z + 209. Calculate c(-30).
-1
Let n(k) = 12*k - 48. Give n(4).
0
Let c(k) = -2*k - 9. Give c(3).
-15
Let m(l) = l**3 - 4*l**2 - 14*l + 8. Determine m(6).
-4
Let x(q) = q**3 + 9*q**2 + 13*q - 8. Give x(-6).
22
Let t(n) = n**3 - 8*n**2 + 9*n - 1. Calculate t(7).
13
Let m(c) = -c**2 + 39*c - 372. Calculate m(15).
-12
Let y(c) = 9*c**2 + 1. Determine y(-1).
10
Let d(k) = k**2 - 30*k + 34. What is d(28)?
-22
Let s(k) = k**3 + 9*k**2 + k - 16. Give s(-8).
40
Let w(i) = -i**2 + 15*i - 3. Determine w(6).
51
Let a(u) = -u**3 - 13*u**2 + 2*u + 25. Determine a(-13).
-1
Let j(s) = -s**3 + 3*s**2 + 4*s + 14. Give j(5).
-16
Let q(x) = 7*x - 6. Calculate q(-3).
-27
Let b(a) = -a**3 - 34*a**2 - 5*a - 151. What is b(-34)?
19
Let b(o) = o**3 + 5*o**2 - 8*o - 7. What is b(-6)?
5
Let l(k) = k**3 - 28*k**2 - 27*k - 69. Calculate l(29).
-11
Let u(n) = n**3 - 37*n**2 - 39*n + 32. What is u(38)?
-6
Let c(i) = i**3 + 2*i**2 + 2*i - 55. What is c(0)?
-55
Let r(h) = h**2 - 25*h - 64. What is r(27)?
-10
Let s(n) = -n**2 - 32*n - 242. Determine s(-20).
-2
Let k(s) = -s**3 + 10*s**2 + 11*s - 12. Calculate k(11).
-12
Let n(t) = t**2 - t + 23. Determine n(0).
23
Let i(t) = 115*t + 114. Give i(-1).
-1
Let c(r) = r**3 + 7*r**2 + 7*r - 4. Give c(-6).
-10
Let p(d) = -d**2 + 25*d + 120. Calculate p(29).
4
Let x(p) = -2*p**3 + 13*p**2 + 23*p + 8. Calculate x(8).
0
Let d(v) = -9*v - 94. Determine d(-10).
-4
Let d(n) = n**3 + 15*n**2 + 13*n + 8. What is d(-14)?
22
Let v(g) = g**3 - 6*g**2 + 3*g + 9. What is v(5)?
-1
Let d(m) = m**3 + 5*m**2 - m - 1. What is d(-5)?
4
Let k(d) = 2*d - 57. Give k(25).
-7
Let w(j) = 14*j**2 - 79*j - 79. Determine w(-1).
14
Let g(o) = -5*o - 13. Calculate g(-6).
17
Let l(n) = -n**3 - 16*n**2 + 17*n + 6. Calculate l(-17).
6
Let r(d) = d**2 - 14*d - 7. Determine r(10).
-47
Let p(i) = i - 16. Give p(16).
0
Let j(l) = -l**3 + 9*l**2 - 9*l + 5. Determine j(6).
59
Let j(y) = -5*y**2 + 2*y - 1. Give j(1).
-4
Let p(j) = j**2 - 3*j - 7. Give p(7).
21
Let r(i) = -6*i**3 + i + 1. Calculate r(-1).
6
Let o(i) = -i**2 + 2*i - 4. Determine o(2).
-4
Let z(b) = -b - 3. What is z(18)?
-21
Let n(c) = -2*c - 49. Calculate n(0).
-49
Let o(w) = w**3 - 30*w**2 + 28*w + 31. Calculate o(29).
2
Let q(l) = 7*l + 71. Determine q(-13).
-20
Let s(d) = -4*d**2 + 3*d + 1. Give s(-2).
-21
Let j(o) = -14*o + 226. What is j(16)?
2
Let q(r) = r**2 - 7*r - 2. Calculate q(5).
-12
Let l(t) = t**3 + 8*t**2 - 7*t - 7. What is l(-9)?
-25
Let a(y) = y**3 - y**2 - y - 43. Give a(0).
-43
Let j(d) = d**3 + 2*d**2 - d. Calculate j(-3).
-6
Let g(b) = 36*b + 332. Calculate g(-9).
8
Let a(v) = 2*v - 5. Give a(6).
7
Let r(l) = l**3 - 7*l**2 + 5*l + 3. Give r(5).
-22
Let f(n) = -n**3 + 7*n**2 + 11*n - 17. Give f(8).
7
Let x(r) = r**2 - 3*r + 2. What is x(2)?
0
Let b(f) = -2*f**3 - f**2 - 2*f - 94. What is b(0)?
-94
Let u(n) = n**3 + 8*n**2 + 15*n + 16. Calculate u(-6).
-2
Let h(v) = -2*v + 6. What is h(10)?
-14
Let b(m) = -3*m**3 - 2*m**2 + 1. Determine b(-2).
17
Let g(z) = z. What is g(6)?
6
Let l(x) = 3*x - 1. Calculate l(-7).
-22
Let n(k) = -k**2 - 5*k - 7. Calculate n(-4).
-3
Let a(p) = -p**3 + 5*p**2 + 7*p - 7. Give a(6).
-1
Let r(j) = -j**3 + 14*j**2 + 16*j - 7. Calculate r(15).
8
Let p(m) = -m**3 - 3*m**2 - 6*m - 3. Determine p(-2).
5
Let d(u) = u**3 - 2*u**2 + 8*u. Give d(4).
64
Let t(q) = -q**3 - 2*q**2 + 5*q + 4. Calculate t(-3).
-2
Let x(m) = -15*m - 2. Give x(2).
-32
Let w(m) = 9*m**2 + 2*m - 2. Calculate w(2).
38
Let z(f) = f**3 + 3*f**2 + 2*f + 2. Calculate z(-6).
-118
Let f(w) = -w**3 - 16*w**2 + 34*w - 37. Determine f(-18).
-1
Let h(f) = -f**2 - 50*f - 632. Determine h(-26).
-8
Let s(q) = q**3 + 2*q - 2. What is s(-3)?
-35
Let i(v) = v**3 + 10*v**2 - 9*v + 16. Determine i(-11).
-6
Let k(y) = -y**2 + y - 14. Calculate k(4).
-26
Let x(k) = 2*k**2 - 19*k + 7. Calculate x(9).
-2
Let v(o) = 9*o - 82. Give v(10).
8
Let o(t) = -8*t + 29. Calculate o(3).
5
Let q(y) = -y**2 + 15*y + 11. Calculate q(15).
11
Let v(z) = -10*z + 3. Calculate v(-3).
33
Let f(d) = -6*d - 23. What is f(-5)?
7
Let q(j) = -j**3 + 4*j**2 + 4*j + 3. Calculate q(-2).
19
Let m(y) = y**3 - 2*y**2 + 6*y - 3. Calculate m(4).
53
Let r(t) = t**2 - 3*t - 7. Give r(5).
3
Let p(w) = -3*w + 9. Calculate p(-3).
18
Let i(u) = 42*u + 75. Determine i(-2).
-9
Let r(k) = k + 7. Give r(-8).
-1
Let v(w) = w**3 - 5*w**2 - 3. Calculate v(5).
-3
Let s(f) = f + 1. Give s(3).
4
Let y(o) = -o + 6. Determine y(-4).
10
Let z(q) = -q**3 + 11*q**2 + 4*q + 28. Give z(10).
168
Let t(l) = l**2 + 8*l - 192. Determine t(10).
-12
Let h(u) = -u**2 - 6*u - 6. Give h(-8).
-22
Let j(d) = -d**2 - 11*d + 18. Calculate j(-9).
36
Let t(b) = -b**2 - 22*b - 26. What is t(-21)?
-5
Let n(h) = -5*h + 1. Give n(-6).
31
Let l(n) = -n**2 + 14*n + 20. Give l(8).
68
Let j(d) = -2*d + 5. Calculate j(7).
-9
Let p(s) = s**2 + 7*s + 7. What is p(-4)?
-5
Let m(g) = 2*g**2 - 16*g - 19. Determine m(9).
-1
Let j(b) = -b**3 + 12*b**2 - 10*b - 8. What is j(11)?
3
Let h(n) = 4*n - 56. Determine h(13).
-4
Let c(v) = v**3 - 11*v**2 + 6*v - 36. What is c(11)?
30
Let w(l) = 13*l**2 - l - 4. What is w(2)?
46
Let q(v) = v**2 - 5*v + 5. Calculate q(3).
-1
Let r(o) = -33*o. Determine r(-1).
33
Let y(a) = -11*a - 256. Determine y(-23).
-3
Let b(m) = 10*m - 3. Calculate b(-1).
-13
Let i(f) = -43*f + 239. Determine i(5).
24
Let u(y) = y**2 - 24*y - 7. What is u(24)?
-7
Let z(i) = i - 11. Calculate z(4).
-7
Let b(d) = d**2 - 5. Calculate b(3).
4
Let l(k) = 17*k + 2. Calculate l(2).
36
Let a(i) = -i**2 - 32*i - 130. What is a(-28)?
-18
Let q(y) = -y - 11. What is q(-14)?
3
Let b(c) = -10*c - 4. Calculate b(3).
-34
Let o(v) = -v**3 + 4*v**2 - 2*v - 1. What is o(5)?
-36
Let z(a) = a**3 - 7*a + 10. Calculate z(-3).
4
Let v(d) = -24*d - 88. What is v(-4)?
8
Let p(g) = g**3 + 9*g**2 - 7*g. Give p(-10).
-30
Let i(p) = 9*p - 83. Calculate i(13).
34
Let f(b) = b + 9. What is f(-12)?
-3
Let o(l) = -l**2 - 8*l + 78. Determine o(-11).
45
Let o(i) = -i**3 + 11*i**2 - 13*i + 4. What is o(10)?
-26
Let c(t) = -t**3 - 2*t**2 - 14*t - 21. What is c(-3)?
30
Let i(b) = -3*b**2 - 21*b - 10. Determine i(-11).
-142
Let a(v) = -4*v - 4. What is a(7)?
-32
Let y(l) = 18*l + 238. Give y(-13).
4
Let r(z) = -z**2 + 18*z - 23. Give r(17).
-6
Let m(a) = -a - 47. Give m(-9).
-38
Let k(q) = q - 5. Determine k(-16).
-21
Let x(k) = k**3 | {
"pile_set_name": "DM Mathematics"
} |
hest common factor of 1102 and 89177494.
58
Calculate the highest common divisor of 17051 and 1577129.
59
What is the greatest common divisor of 27020 and 74992080?
3860
What is the greatest common divisor of 339696824 and 752?
376
What is the highest common divisor of 238 and 2000164138?
238
What is the greatest common factor of 4023018 and 3286?
106
What is the highest common divisor of 122799519 and 9?
9
What is the greatest common factor of 574626 and 1209?
39
What is the highest common factor of 60216 and 248?
8
Calculate the greatest common divisor of 1820 and 3969000.
140
Calculate the greatest common divisor of 952003 and 998166.
871
Calculate the greatest common divisor of 190943 and 3163853.
2417
What is the highest common factor of 809645 and 2825?
565
Calculate the greatest common divisor of 7584303 and 4695.
939
What is the highest common factor of 5824 and 528801?
91
Calculate the highest common divisor of 46195004 and 57.
19
Calculate the highest common factor of 608 and 96430928.
304
Calculate the greatest common divisor of 555256944 and 9072.
1296
What is the greatest common factor of 41910 and 1066890?
330
Calculate the highest common divisor of 179018 and 167846.
266
What is the greatest common factor of 3777 and 31425?
3
Calculate the greatest common factor of 4273295 and 910.
65
Calculate the greatest common factor of 137 and 291673.
137
What is the greatest common divisor of 47196126 and 36?
18
Calculate the greatest common divisor of 51640290 and 1818.
1818
Calculate the highest common divisor of 6 and 1909654.
2
What is the highest common factor of 148685 and 11266?
131
What is the greatest common divisor of 56 and 16379076?
28
Calculate the highest common factor of 46848 and 542412.
732
What is the highest common factor of 984 and 70366701?
123
What is the highest common divisor of 35 and 5780901770?
35
What is the greatest common factor of 4761742 and 40528?
298
Calculate the highest common divisor of 27 and 4829193.
27
What is the greatest common factor of 1167494770 and 130?
130
What is the greatest common factor of 23090487 and 42?
21
Calculate the highest common factor of 8610 and 4904830.
2870
Calculate the greatest common factor of 103 and 1580675904.
103
What is the greatest common factor of 2272708 and 20?
4
What is the greatest common divisor of 3315 and 3502367115?
3315
What is the highest common divisor of 1674343 and 99?
11
What is the highest common divisor of 218554406 and 490?
98
Calculate the highest common divisor of 12 and 23004921.
3
What is the greatest common divisor of 174 and 4531362?
6
What is the greatest common divisor of 136024 and 55492934?
4858
What is the highest common divisor of 99 and 582374100?
33
Calculate the greatest common divisor of 8351 and 1202351927.
8351
What is the highest common factor of 67300632 and 296?
296
Calculate the greatest common divisor of 1039278910 and 19.
19
What is the greatest common divisor of 22990 and 97284?
242
Calculate the highest common factor of 6 and 493586.
2
Calculate the greatest common divisor of 2925378 and 244940.
662
Calculate the highest common divisor of 1656704 and 282688.
448
What is the greatest common divisor of 331364 and 54604?
748
What is the highest common factor of 127329 and 8?
1
What is the greatest common divisor of 1383485 and 175?
5
What is the highest common divisor of 4362420 and 610?
10
What is the highest common factor of 5379128 and 1339844?
3292
Calculate the highest common factor of 58 and 167902083.
29
Calculate the highest common divisor of 827066 and 2.
2
What is the greatest common factor of 45740 and 67940?
20
Calculate the highest common divisor of 23805 and 12064995.
1035
Calculate the highest common factor of 969 and 6431899.
323
What is the highest common divisor of 1204 and 6992188?
28
Calculate the greatest common factor of 2861960 and 360.
40
What is the highest common factor of 132300 and 31986?
18
What is the greatest common factor of 1433975 and 7?
1
What is the highest common factor of 8019 and 2728?
11
Calculate the highest common factor of 918 and 13615674.
102
Calculate the greatest common divisor of 340 and 3673820.
20
Calculate the greatest common divisor of 12240 and 94945.
85
What is the greatest common factor of 60877098 and 63?
9
Calculate the greatest common divisor of 32522 and 461104.
322
What is the greatest common factor of 45 and 14133267?
9
What is the greatest common divisor of 4923 and 1828621?
547
What is the greatest common factor of 35580 and 24315?
15
Calculate the greatest common divisor of 37 and 67493328.
37
What is the highest common divisor of 63652345 and 3028?
757
Calculate the greatest common divisor of 54 and 12457215.
9
What is the highest common factor of 783 and 38851039?
29
What is the highest common divisor of 879424 and 4472?
104
What is the greatest common divisor of 271406 and 35114?
194
What is the highest common factor of 40 and 53026660?
20
What is the greatest common divisor of 854 and 13149262?
14
Calculate the greatest common divisor of 47 and 6964836.
47
Calculate the highest common factor of 18612 and 13668446.
1034
Calculate the greatest common factor of 46546 and 8928618.
2738
Calculate the greatest common divisor of 3859 and 2415053.
227
What is the greatest common factor of 613 and 2380784112?
613
What is the highest common divisor of 95198686 and 12?
2
What is the highest common divisor of 173 and 20936287?
173
Calculate the greatest common divisor of 2530 and 205931.
11
Calculate the highest common divisor of 64 and 165598688.
32
What is the highest common factor of 554587 and 1188?
11
What is the highest common factor of 42 and 94233643?
7
What is the highest common factor of 19780267 and 845?
169
Calculate the greatest common factor of 1821554 and 2898.
322
What is the highest common factor of 1388120 and 3280?
40
What is the highest common divisor of 1102430 and 765?
5
What is the greatest common divisor of 6 and 158199002?
2
What is the greatest common factor of 4646 and 13692974?
202
Calculate the highest common divisor of 1073041444 and 3028.
3028
What is the greatest common factor of 76945290 and 30?
30
Calculate the highest common divisor of 123127494 and 219.
219
Calculate the greatest common divisor of 4941550 and 10.
10
Calculate the greatest common factor of 38528510 and 5480.
1370
Calculate the greatest common divisor of 168 and 60457264.
56
Calculate the highest common factor of 21385 and 27265.
35
Calculate the greatest common factor of 1839954328 and 1208.
1208
Calculate the highest common divisor of 2780 and 1672420.
20
What is the highest common factor of 4 and 14104978?
2
What is the greatest common factor of 204 and 3478764468?
204
Calculate the highest common divisor of 7751894 and 6.
2
Calculate the highest common factor of 5664240 and 450.
90
Calculate the greatest common factor of 480370 and 450.
10
What is the greatest common divisor of 693015 and 19035?
705
What is the highest common factor of 19443544 and 21484?
524
What is the highest common divisor of 6438 and 307284?
174
What is the highest common factor of 14760720 and 1620?
180
Calculate the greatest common factor of 599640744 and 164.
164
What is the greatest common factor of 141955 and 21805?
445
Calculate the greatest common divisor of 155530 and 8652.
206
Calculate the greatest common divisor of 5822 and 3679996.
82
Calculate the greatest common divisor of 72740807 and 85.
17
Calculate the greatest common factor of 2932 and 442564876.
2932
Calculate the highest common divisor of 350 and 21550.
50
Calculate the greatest common divisor of 84180 and 5954820.
3660
What is the highest common factor of 52282214 and 4384?
274
Calculate the highest common factor of 175 and 62809390.
35
What is the highest common divisor of 2232 and 248054715?
279
Calculate the greatest common divisor of 7708911130 and 4910.
4910
What is the highest common divisor of 326707266 and 438?
438
What is the highest common factor of 28056205 and 3955?
565
Calculate the greatest common divisor of 227432 and 160.
8
What is the highest common factor of 363110 and 109065?
55
Calculate the greatest common factor of 171943236 and 24786.
2754
What is the highest common factor of 237740 and 86660?
20
C | {
"pile_set_name": "DM Mathematics"
} |
+ (-1 - -1))*1/(-3). Let y(w) = 2*w - 6. Calculate y(h).
-6
Let w(g) = -2*g**2 - 5*g + 12. Suppose 4*y + 16 - 6 = 5*m, 0 = 4*m - 5*y + 1. Let l(d) = d**2 + 3*d - 6. Let p(k) = m*w(k) + 11*l(k). Determine p(6).
-12
Let g(p) = -3 - 1 + 6 + 6*p**2 - 4 + p**3. Let n = 15 + -21. Give g(n).
-2
Let a(c) = 3*c + 1. Let q(l) = l. Let w(j) = -a(j) - 2*q(j). Let d(h) = 9*h + 2. Let m(n) = 4*d(n) + 7*w(n). Determine m(5).
6
Let c be (-2)/(-20)*-6 - 39/(-15). Let b(p) = -p**2 + 3. Calculate b(c).
-1
Let h(r) be the third derivative of -r**4/8 - 3*r**3/2 + 35*r**2 - 2. Calculate h(-4).
3
Let z(n) = n + 6. Let r(c) = c - 9. Let x be r(-10). Let a = -23 - x. Let q be 0*(-4)/48*a. Determine z(q).
6
Let x(y) be the third derivative of -y**8/20160 + y**7/720 + y**6/120 + y**5/5 + 9*y**2. Let w(j) be the third derivative of x(j). Calculate w(8).
-2
Let i(b) = b**3 - 2*b**2 + 2*b - 9. Let f(a) = 3*a**2 - a + 1. Let y(s) = -3*f(s) - i(s). Let k be 2/(-11) + (-600)/88. Give y(k).
-1
Let k(h) = -1 - 6 - 5*h + 9 + 4*h. What is k(-5)?
7
Let v(o) = 50*o**2 + 14*o**2 + o - 63*o**2. What is v(3)?
12
Let w(a) = -12*a**2 - 8*a**2 - 69788*a + a**3 + 69766*a + 28. What is w(21)?
7
Let f(i) = -i**3 + 5*i**2 + 9*i + 3. Let z(q) = 2*q**3 - 10*q**2 - 18*q - 4. Let p(s) = 5*f(s) + 2*z(s). What is p(7)?
-28
Let i(q) = -1 - 5*q**2 - q + 7*q + 0 + 4*q**2. Suppose 51 = -4*g - v, v = -g - 4*g - 63. Let h be (27/(-6))/(g/16). Determine i(h).
-1
Let x(a) = -a**3 + 12*a**2 + 13*a + 3. Let h be x(13). Let b(o) = o**3 - 4*o**2 + 5*o - 2. Give b(h).
4
Let u(c) = 3*c**3 - 4*c**2 - 3*c + 1. Let k(m) = -149*m - m**2 + 75*m + 75*m - 1 - m**3. Let p(r) = -2*k(r) - u(r). What is p(6)?
7
Let g(p) = -8*p - 5. Let b(m) = 9*m + 6. Let t(h) = 4*b(h) + 5*g(h). Give t(1).
-5
Let x(p) = 4*p + 27. Let y(w) = w + 8. Let v(t) = 2*x(t) - 7*y(t). Determine v(7).
5
Let p(a) = 2*a**2 + 4*a + 2. Let g be p(-2). Suppose -3*k + 9 = 0, -4*k - 7 = g*o - k. Let z(x) = -2*x - 6. What is z(o)?
10
Suppose 0 = -3*q - 3*c + 6, -2*q - 5*c = -8 + 1. Let l(d) = 5*d - 11. Let b(n) = n - 1. Let g(j) = q*l(j) - 4*b(j). Calculate g(7).
0
Let c(v) = -v - 15. Let k(x) = x**3 - 9*x**2 + 4*x - 43. Let q be k(9). Give c(q).
-8
Let l = -3 - -5. Let p be ((-17)/l)/((-15)/30). Let f(m) = -2*m + p*m**3 + 6*m - 8*m**3 - 10*m**3. Give f(-3).
15
Let b(d) = 10*d - 6. Let k(t) = -2*t**3 - t**2 - 9. Let j be k(-2). Determine b(j).
24
Let o(m) = m**2 + 12*m + 9. Let k be o(-8). Let y = k - -20. Let d be (-29)/(-4) + y/12. Let i(c) = c - 3. Give i(d).
4
Let b(j) = 5*j**3 + 4*j**2 - 5*j + 5. Let a(s) = -6*s**3 - 4*s**2 + 5*s - 5. Let v(y) = 4*a(y) + 5*b(y). Calculate v(-5).
5
Let j(q) = 14 + 4*q - 18*q + 16*q. Determine j(-7).
0
Let a be 2 - -2 - (-32)/(-2). Let s be 74/a + (-3)/(-18). Let z(o) be the third derivative of o**5/60 + 5*o**4/24 - 5*o**3/6 - 11*o**2. What is z(s)?
1
Let r(i) = i**3 - 3*i**2 + 3*i - 1. Suppose -12 = 21*d - 25*d. What is r(d)?
8
Let r(s) = -7*s - 12. Let w be (-2 - 6) + (5 - 3). Give r(w).
30
Suppose 57*n - 82*n = 100. Let m(l) = 2*l**3 + 5*l**2 - l + 4. Calculate m(n).
-40
Let r(k) = -4*k**2 + k + 6*k**2 + 1 - 8*k. Let w(p) = -3*p**2 + 8*p - 1. Let j(d) = 4*r(d) + 3*w(d). Suppose 1121*l - 1123*l - 10 = 0. Give j(l).
-4
Let i(x) be the second derivative of 1/2*x**2 + 1/3*x**3 + 0 + 2*x. Calculate i(3).
7
Suppose 13*o + 89 = 11. Let y(w) = -w**2 - 4*w + 8. Calculate y(o).
-4
Suppose 24 = -2*f + 2*j, 0 = -2*f + 5*j - 33 + 9. Let k(d) = d**3 + 11*d**2 - 12*d + 3. Determine k(f).
3
Let c(r) be the second derivative of -r**6/120 + r**5/15 + r**4/12 + r**3/3 - r**2/2 + 5*r. Let h(d) be the first derivative of c(d). What is h(4)?
10
Let h(x) = x + 1. Let f(q) = -q**2 - 1. Let n be f(2). Let m be h(n). Let w(u) = -u - 1. Give w(m).
3
Let h = -68 + 77. Suppose -39 = -22*j + h*j. Let s(u) = 6*u - 2. Let v(q) = -4*q + 1. Let f(m) = -5*s(m) - 8*v(m). Calculate f(j).
8
Let r(q) = q. Let l be r(5). Let y = 9 - l. Suppose z - y*z - 12 = 0. Let t(j) = j**3 + 3*j**2 - 5*j - 2. What is t(z)?
2
Let w(u) be the first derivative of u**4/4 + 8*u**3/3 - 11*u**2/2 - 15*u - 151. Give w(-9).
3
Let i(s) be the first derivative of -s**4/4 - 2*s**3 + s**2 + 4*s - 1. Let k(j) = j**3 - 3*j**2 - 39*j + 71. Let n be k(7). Give i(n).
-8
Let c(g) = -43*g + 208. Let s be c(5). Let k(m) = -m - 2. Determine k(s).
5
Suppose 4*w + 2*l = 174, 5*w + 0*l = 3*l + 201. Let b(q) = w*q**3 - 2*q + 4*q + 9 - 43*q**3 - 6*q**2. Determine b(-6).
-3
Let h(y) = -5 - 8*y**2 - 3*y**2 - 3*y**2 + 13*y**2 + 0 + 7 + 6*y. Let v be (-1)/((-5)/(-6) - 1). Suppose -3*r + v*z - 2*z - 5 = 0, -r - z = -10. Calculate h(r).
7
Let t(d) = d - 6. Let i = 18 + -18. Let x be t(i). Let m(k) = -6*k + 10*k**3 + 1 + 5*k**2 + k - 9*k**3. Determine m(x).
-5
Let d(j) = j**3 + 4*j**2 + 2*j + 5. Suppose 2*o + 16 = -5*u + 6, 4*o = -4*u - 20. Calculate d(o).
-30
Let h = -1 + 11. Suppose h = 3*w - 5*w. Let g(q) = q**2 - 2*q + 5. Let o(l) = -4*l**2 + 5*l - 17. Let r(d) = -7*g(d) - 2*o(d). Give r(w).
4
Let v(f) be the first derivative of -f**3/3 + 3*f**2 + f + 37. Give v(5).
6
Suppose -i + 4*u + 12 = 0, 2*i - 8 - 4 = 5*u. Let s(w) = -2*w**2 - 4*w + 5. Determine s(i).
-11
Let z(j) = j**2 - 6*j + 2. Let w(f) = f**2 - 8*f + 11. Suppose -2*b - 21 = -5*b. Let k be w(b). Determine z(k).
-6
Let z(f) be the first derivative of 3*f**2/2 + 5*f + 95. Determine z(6).
23
Let i be (-12)/39*(15/(-2) - -1). Let t(p) = 4*p**3 + 0*p**3 - 2 - 2*p**3 - 2*p**2. Give t(i).
6
Suppose 0 = 3*p - 8*p + 2*c + 25, -22 = p + 5*c. Let g(w) = 7*w + p + 1 + 2*w**2 + 2 - w**2. Determine g(-6).
0
Let v(s) = -5*s + 12. Let y(l) = -14*l + 36. Let c(q) = 11*v(q) - 4*y(q). Let i be c(7). Let n(m) = m**2 + 3*m - 4. Calculate n(i).
6
Let c(j) = -7*j - 4. Let t be c(-4). Suppose i - 1 = 4*u - 4, t = 4*i - 4*u. Let n(m) = -10 + i*m + 7*m - 14*m. Calculate n(7).
4
Let j(w) = -w**3 + 2*w**2 + 3. Suppose -5*r + 2*k = -13, 7 = 5*r - 3*k - 5. Give j(r).
-6
Let m(y) = -y**3 - 2*y**2 + y - 1. Suppose -q + 2*d = 10, -5*d - 3 = q - 7. Suppose 0 = -2*h - 0*h + 12. Let n be (-22)/h + q/(-9). Calculate m(n).
5
Let n(l) be the first derivative of -9*l**2/2 + 11*l - 347. Give n(2).
-7
Let b(r) = -5*r**3 + 2*r**2 + 2*r + 20. Let s(o) = 3*o**3 - 2*o**2 - o - 11. Let p(u) = -4*b(u) - 7*s(u). Give p(5).
17
Let p(m) be the first derivative of 2 + 0*m + 1/24*m**4 - 3*m**2 - 1/6*m**3. Let d(o) be the second derivative of p(o). Give d(-4).
-5
Let d(h) = -h**3 - 21*h**2 - 3*h - 67. Let o be d(-21). Let a(g) = g**2 - g + 5. Calculate a(o).
25
Let w(r) be the first derivative of r**4/4 - 11*r**3/3 + 9*r**2/2 - 2*r + 546. Determine w(10).
-12
Let d(r) = r**3 + 5*r**2 + r - 2. Suppose -12 = 4*f - g, f - 2*g + 8 = -3*g. Calculate d(f).
10
Let h(q) be the second derivative of 0 - 2/5*q**5 + 1/3*q**3 + 1/2*q**2 + 0*q**4 + q. Let b = -55 + 54. Determine h(b).
7
Let p = -2 + 1. Let o(u) be the first derivative of 5*u**3/3 + u**2/2 + 2*u + 493. Let z be o(p). Let w(g) = g. Determine w(z).
6
Let x(r) = -37 - r + 60 - 23. What is x(1)?
-1
Let n(x) = 2*x**2 - 5*x + 4. Let a be 8/(-16) + (-1)/2. Let b(m) = 1. Let l(u) = a*n(u) + 5*b(u). Give l(4).
-11
Let p = -89 + 49. Let b = p - -46. Let i(v) = -v - 1. Calculate i(b).
-7
Suppose -3*i - 31 = 5*r, 3*r = -i + r - 12. Let o(p) = p + 1. Determine o(i).
-1
Suppose 6 = 7*h + 41. Let o be ((0/(-2))/(10/h))/(-2). Let d(p) = 7*p + 14. Let i(j) = -4*j - 7. Let r(l) = -3*d(l) - 5*i(l). Determine r(o).
-7
Suppose -45 = 7*y - 22*y. Let u(w) be the third derivative of 0*w + 1/8*w**4 + 1/120*w**6 + 4*w**2 + 0 - 5/6*w**y - 1/12*w**5. Determine u(5).
10
Let s(c) = -c**2 - 2*c - 7. Suppose 15*a = -8*a. Calculate s(a).
-7
Let u = -27 - -38. Suppose 2*h - 3 + u = 0. Let c(s) = -7*s**2 - 2*s + 7. Let a(l) = -6*l**2 - 2*l + 6. Let x(k) = 6*a(k) - 5*c(k). Give x(h).
-7
Suppose k = -5*p + 38, -5*p - 13 = -3*k - 39. Let z(o) = -4*o - 11. Let x(a) = -2*a - 4. Let b(l) = 9*x(l) - 4*z(l). Give b(p).
-6
Suppose 4*l = -r - 0*r + 61, 0 = -5*l + 2*r + 60. Suppose -12*a = -10*a + l. Let o(i) = i + 3. Determine o(a).
-4
Let r = -5 + 10. Let a be 19/5 - r/(-25). Let i(s) = -4*s + s + 2 + s**3 - 9 + a*s. Determine i(0).
-7
Let v(d) = -d**2 - d - 1. Let w be v(-1). Let s be 11/(-3) - w/(-3). Let r(z) = 2*z. Let m(a) = 5*a + 1. Let x(n) = -3*m(n) + 7*r(n). Give x(s) | {
"pile_set_name": "DM Mathematics"
} |
e 8*w - 3*w - d = 0. Is w composite?
True
Let i(s) = 2*s**2 - 8*s + 4. Let b be (-23)/(-5) + (-8)/(-20). Let n be i(b). Is (4 + -1)*n/2 prime?
False
Suppose 0 = 10*w - 5*w - 1445. Is w prime?
False
Let y = 2558 + -1234. Suppose 5*l + y = 9*l. Is l composite?
False
Let c = 22 - 0. Is c a composite number?
True
Let s = -215 + 550. Is s a composite number?
True
Let n = 7 + -5. Let y be (2/4)/(n/480). Let h = 173 - y. Is h a prime number?
True
Let n(i) = 3*i. Let z be n(1). Suppose 0 = z*d + 6, g + 6*d = d + 109. Is g a prime number?
False
Let r(x) = 2*x - x**3 + 7*x**3 - 4*x**3 - 5*x**2 + 4 - x**3. Is r(5) a prime number?
False
Let l(o) = 9*o + 1. Let s be -2 + (7 - 1) - -2. Is l(s) prime?
False
Suppose 3*a - 5*s = 95, 0*a - 3*s + 38 = 2*a. Suppose 4*v = a + 179. Let d = v - 29. Is d a composite number?
True
Suppose 0*y - y + 8 = 0. Let p = 14 - y. Is (-746)/(-14) + p/(-21) prime?
True
Suppose -7*y + 650 = 27. Is y composite?
False
Suppose -3*o - 30 = -6*o. Let q = 3 + o. Is q a composite number?
False
Let g(x) = -68*x + 27. Is g(-10) prime?
False
Let z = 8 + -6. Suppose 0*d = z*d - 10, -5*d - 150 = -5*u. Suppose -s + 2*s = u. Is s composite?
True
Suppose 6*p + 629 = 7*p. Is p a composite number?
True
Let v = 394 + -744. Let z = -235 - v. Is z a prime number?
False
Let u(k) = 8*k**2 - 6*k + 5. Is u(6) composite?
False
Suppose 7 - 17 = -5*n. Suppose -n*a - 508 = -g - 4*g, 0 = -a + 1. Is g/3*10/4 a composite number?
True
Suppose 0 = -4*u - 4*v - 964, 2*u - 3*v + 6*v + 479 = 0. Suppose 2*o - l - 782 = 0, -1 = 2*l - 9. Let z = o + u. Is z prime?
True
Suppose 0 = a - 0 - 2. Let l(f) = 2*f**3 + f**2 + 4*f - 3. Is l(a) a prime number?
False
Let l be 1 + 5/((-10)/(-4)). Suppose -l*w = -0*w + 96. Let o = 45 + w. Is o a prime number?
True
Suppose 5*v - 2*v + 6 = 0. Is -4 + v + 3 + 1064 prime?
True
Let q = 12 + -11. Let h(g) = 467*g. Is h(q) a prime number?
True
Let r = -1 - 6. Let n be 0 - -3 - -19*1. Let s = n + r. Is s a composite number?
True
Let r = -58 - -19. Let s = -109 - -185. Let v = s + r. Is v composite?
False
Is 22/4*(13 - -1) prime?
False
Let v be ((-20)/25)/((-4)/310). Let c = v + -9. Is c prime?
True
Suppose 0 = -3*k - 6, -3511 = -3*r + 3*k - k. Is r a prime number?
False
Let d be (-2)/11 + 57/11. Suppose -4*m - d*j = -222, -3*m - j + 186 - 14 = 0. Is m a composite number?
True
Let w = -209 + 1192. Is w prime?
True
Suppose 2771 + 3247 = 6*h. Is h composite?
True
Suppose h - 2*q - 8 = -3*h, 12 = -h + 4*q. Suppose 5*x - 4*j = 663 + 816, h*j = -4. Is x a prime number?
False
Let o = 10 + -5. Suppose 0 = 2*u + 8, 0 = -5*m - u + 19 - 8. Suppose p - o*p = 2*r - 58, 2*p = -m*r + 103. Is r a prime number?
True
Is -3 + (-6 + 4 - -751) a composite number?
True
Suppose 3 = -5*o - 2. Let h(i) = -6*i**3 - 8*i**2 + i - 6. Let d(y) = -y**2 - 1. Let z(c) = o*h(c) + 6*d(c). Is z(1) composite?
False
Let z = 1 - -4. Suppose 4*f + z*j - 66 = 0, -2*j - 98 = -4*f - 18. Is f a composite number?
False
Let h = -161 - -300. Is h prime?
True
Let t = 45 + -25. Suppose -2*u - 3*i + 9 + 10 = 0, -4*u + 47 = -3*i. Let v = t + u. Is v a prime number?
True
Suppose -170 = -g - 4*g. Let m = g - -10. Is 1 - (-1)/(2/m) prime?
True
Let q be (-301)/(-3) - (-14)/21. Let r = q - 66. Is r composite?
True
Suppose -37 + 2 = -u. Suppose -5*r - 3*n + 19 = 0, 0*n = -2*r + 3*n - 5. Suppose -67 = -4*m - 3*q, 4*m + q = r*m + u. Is m composite?
False
Let i be (0 + 4)/((-12)/18). Let s = -4 - i. Suppose -4*w - 10 = -o, -40 = o - 4*o + s*w. Is o prime?
False
Let p = 293 - 200. Suppose p = 4*z + 1. Is z prime?
True
Let j(i) be the first derivative of i**2/2 + 8*i - 3. Is j(-6) composite?
False
Let a = -436 - -911. Suppose -3*s + 5*y = -298, 0*s + 4*y = 5*s - a. Is s prime?
False
Suppose 22*w - 191 = 21*w. Is w composite?
False
Let r = 16 + -9. Suppose p + z = 128, 2*z - 146 = -p + r*z. Is p prime?
True
Suppose -5*o + 4*s = -685, 3*o - s + 4*s = 438. Is o prime?
False
Let o(b) = b**3 - 6*b**2 + b - 5. Let k be o(6). Let j = 4 + -2. Suppose j*z - 15 = -k. Is z composite?
False
Let y(g) = -g**2 + 10*g + 13. Let f be y(11). Suppose 6 = -3*m + 2*m + 4*b, 0 = -f*m - b + 15. Is (106/(-6))/((-2)/m) prime?
True
Suppose 8 + 0 = 2*h. Let l be 397/h - 3/12. Suppose 5*n - 1 - 4 = 0, 2*v = -5*n + l. Is v prime?
True
Let x = -3 + 8. Suppose -m = -h + 3, -x*m + 2 = -2*h + 8. Suppose -h*t = a - 181, -228 = -3*t - t + 2*a. Is t a composite number?
False
Suppose -4*k = 100 - 312. Suppose -3*f + 4*l = -0*l - k, -2*l + 59 = 3*f. Is f a composite number?
False
Let m(a) = -3*a**3 - 7*a**2 + 7. Is m(-6) composite?
True
Let o(h) = -h**3 + 11*h**2 + 15*h - 16. Let w be o(12). Suppose 0*x - 4*x + w = 0. Suppose -2*s + 64 = x*y - 2*y, -4*y = 4*s - 136. Is s a composite number?
True
Suppose 13 = 4*q + 229. Let d = -1 - q. Is d a composite number?
False
Let x be (-16)/32*(0 + -74). Let o = x - 18. Is o prime?
True
Suppose c = -3*c + 1028. Is c composite?
False
Let s = -591 - -1128. Suppose 52 = -b + s. Is b a composite number?
True
Let l be (1*-1)/(5/(-30)). Is ((-2)/l)/((-3)/20853) composite?
True
Suppose 10*j - 12 = 12*j. Is 1932/(-18)*9/j a composite number?
True
Suppose 2*m = -10 + 24. Suppose 2*t - m - 19 = 0. Is t a composite number?
False
Suppose 2*q - 5*q - 21 = 0. Is 3/q + (-2004)/(-21) a composite number?
True
Is ((-39)/(-4))/(3/20) prime?
False
Let k(s) = -7*s + 26. Is k(-15) a prime number?
True
Let x(l) be the third derivative of l**5/15 - l**4/8 + l**3/6 + 5*l**2. Let y = -5 - -9. Is x(y) composite?
False
Let m(w) = -2*w. Let a = -7 - 4. Let s(g) = g**2 + 11*g - 7. Let j be s(a). Is m(j) prime?
False
Let t = -1 + 1. Let n be 143*(t - 2)/(-2). Suppose -5*b = -2*o + n, 209 = 4*o + b - 110. Is o prime?
True
Let q = -5 + 4. Suppose -264 = w - 40. Is w/(-6) + q/3 a prime number?
True
Let q(m) be the second derivative of 5*m**5/4 + m**4/2 - 4*m**3/3 + m**2 + 6*m. Is q(3) a prime number?
False
Let d = -500 - -919. Is d a composite number?
False
Let q(i) = i**3 + 3*i**2 - i + 2. Let w be q(-3). Suppose x = -w*c - 7, -14 = -0*x - 4*x + c. Suppose -x = -s - f + 17, -16 = -s + 3*f. Is s a composite number?
False
Is 4272/(-8)*2/(-4) a composite number?
True
Suppose -2*f = -0*f. Suppose f = 4*m + 6 + 2. Is m/(-4)*(3 + 49) a prime number?
False
Suppose 25 = 5*u - 5*l - 0, -u + 15 = -3*l. Let v(s) = 7*s + 55. Let w(b) = -4*b - 28. Let f(r) = 3*v(r) + 5*w(r). Is f(u) a prime number?
False
Suppose 11*z = 5*z + 11418. Is z composite?
True
Suppose 3*t - 556 = -t. Is t a composite number?
False
Suppose -7*w + 3*w + 16 = 0. Let c = -88 - -91. Suppose -5*a + 86 = w*y - 3*a, 110 = 5*y + c*a. Is y a prime number?
True
Is 41 - (70/21 - (-2)/3) a prime number?
True
Let j(z) = z + 1. Let w be j(-1). Let k(p) = 0*p - 3 - 3*p - 7 + w*p. Is k(-7) prime?
True
Let h(w) = 34*w**3 + 6*w**2 - 2*w + 1. Is h(5) composite?
False
Let z be 40/24 + (-4)/6. Let v(f) = 317*f. Let k be v(z). Suppose -l - 3*m + 220 = 0, -3*m - k = 5*l - 1381. Is l prime?
True
Suppose 4*f - 170 = 4*x - 46, 2*f - 67 = x. Suppose 5*r - f = -11. Suppose -r*j + q + 130 + 140 = 0, -192 = -4*j - 4*q. Is j composite?
False
Suppose 3*s + 2*n - 133 = 0, 4*n - n + 153 = 3*s. Let v = s - -6. Is v composite?
False
Suppose -4077 = -2*q - q + 3*w, 3*w - 1367 = -q. Is q a composite number?
False
Let k(u) = 27*u**3 + 3*u**2 - 3*u + 2. Is k(3) a prime number?
False
Suppose 4*z - 6 = 14. Suppose -z*d + 35 = -30. Is d prime?
True
Suppose -4*b + 16 = -4*k, -3*b - 3 = 2*k - 0. Let p(r) = 10*r - b - 1 + 4. Is p(2) a prime number?
False
Is 415 - 2*(-2 - -3) composite?
True
Suppose -5*m = -20, 4*h - 3*m = -4*m + 24. Suppose 3 - 448 = -h*n. Is n a composite number?
False
Let w(d) = -d**3 - 2*d**2 + 7*d + 9. Let p be w(-6). Suppose -p = -5*u + 1144. Is u composite?
False
Let l = 4 + -1. Let c be l - 0 - 0/(-2). Is (-11)/(2 - c)*1 a prime number?
True
Let v(s) = -s**3 + s**2 - 10 - 9*s**2 - 10*s + 0*s**2. Let x be v(-7). Suppose -2*h - 3*f + x = -14, 4*h - 43 = f. Is h prime?
True
Let c be (-3)/(-3) + 2 + 2. Suppose c*t - 44 = 131. Is t composite?
True
Suppose -632 = -v + 125. Is v a prime number?
True
Suppose 4*r - 3*r = 4. Suppose 47 = r*m - 229. Is m a prime number?
False
Let v = 114 - -5. Is v a prime number?
False
Let f = 2 + 0. Let s(a) = 5 - 2 - f - 12*a + 0. Is s(-12) composite?
True
Sup | {
"pile_set_name": "DM Mathematics"
} |
-6). Suppose -341 = -6*p - y. Calculate the highest common divisor of p and 2.
1
Let a = 99 - 233. Let z = 50 - a. Calculate the highest common divisor of z and 23.
23
Let h(i) = -i**3 - 7*i**2 + 19*i + 17. Let v be h(-9). Suppose -y - v = -34. Let t = 20 - -6. Calculate the highest common factor of t and y.
26
Let q be 25806/1012 + 6/(-4). Let r be (-4)/(-2) + 58*1. Calculate the highest common divisor of q and r.
12
Suppose -3*c = -3*b - 90, -77 = -4*c + 2*b + 33. Let v(p) = p + 131. Let l be v(c). Calculate the greatest common factor of l and 4.
4
Suppose 5*k - 38683 = -32*k + 6087. Calculate the greatest common factor of 550 and k.
110
Let k(r) = -r**3 - 10*r**2 - 8*r + 10. Let c be k(-9). Let t = 159 + -74. Suppose 49 - t = -4*y. Calculate the highest common factor of y and c.
1
Suppose 0 = 5*w + 174 - 748 - 551. What is the greatest common divisor of w and 975?
75
Let l be 0/2 + (4 - 2). Let u be 9 - (-3 - l/(-2)*5). Let m = u + 48. What is the greatest common divisor of m and 22?
11
Let r be 1807800/8908 + (-1)/(-17). What is the greatest common divisor of 38773 and r?
203
Suppose 4*p + 4*f - 2792 = 0, 0 = p - 4*f - 1092 + 374. Calculate the greatest common factor of p and 130.
26
Suppose -8*l + 228 = -150 + 42. Calculate the highest common divisor of 6846 and l.
42
Suppose -8*d + 129 - 1 = 0. Calculate the highest common factor of 792 and d.
8
Let k be (-2634)/(-294) + 32/784. Calculate the greatest common factor of k and 2961.
9
Let w = -14682 + 14724. What is the greatest common divisor of 11634 and w?
42
Suppose 4*v - t = 4629, 2*v + 4*t - 5*t = 2315. What is the highest common divisor of v and 356?
89
Let q(v) = 9*v**2 + 3*v - 5*v + 10 + 7 + 7*v + 0*v - v**3. Let k be q(7). Calculate the greatest common factor of k and 210.
30
Let n(d) = d**3 + 5*d**2 + 3*d + 4. Let a be n(-4). Suppose 0 = -105*j + 363*j + 306*j - 19176. What is the greatest common divisor of a and j?
2
Suppose b = 49*g - 53*g + 2091, -3*g - 4*b = -1578. What is the greatest common factor of 144 and g?
18
Let q = 255 + -115. Let g = 830 - 800. Calculate the greatest common divisor of g and q.
10
Let b(r) = -6*r - 12. Let t be b(-15). Suppose 3*i + 3*i = t. Calculate the highest common factor of i and 4.
1
Let v = 83 + -81. Suppose 5*p + 708 = 4*y + v*p, 4*y + 2*p - 708 = 0. Suppose y + 147 = 6*i. Calculate the greatest common factor of 36 and i.
18
Suppose -4*q = 3*q - 14. Suppose -3*z + 16 = q*p - 17, 5*p + 3*z = 87. Let l be 4/p - (4 - 331/9). What is the greatest common factor of l and 11?
11
Suppose 9*j = 8*j + 8. Suppose -4*z = -3*z - j. Let h be z/(-12) - (-510)/9. What is the greatest common divisor of 8 and h?
8
Let r(s) = -4*s**3 + s**2 - 8*s - 8. Let q be r(-1). Suppose 8*w - 5*w - 125 = -q*c, -4*c + 164 = 4*w. Calculate the greatest common factor of w and 260.
20
Suppose -3*h = 3*f - 153, -5*f = -142 + 112. Calculate the highest common factor of 1095 and h.
15
Suppose -145*k + 140*k = 630. Let n be (-3)/(-30)*-5*k. What is the greatest common divisor of 18 and n?
9
Suppose -133 = -5*v - 2*v. Let t be 0 - 3 - (-9 - (-3)/1). Suppose 3*u + 3*w = 6*u - 213, -4*w - 208 = -t*u. Calculate the highest common factor of v and u.
19
Let i = -33 - -51. Suppose 144 = 27*c - i. Calculate the greatest common divisor of 46 and c.
2
Let j be ((-1742)/(-156))/((-276)/216 + 8/6). What is the greatest common factor of 9514 and j?
67
Suppose 2*w - 4*w = -8. Let s be (0 + 0)*11/(-22). Suppose -42 = -w*p - 3*r, -p + 5*r + s*r = -22. What is the greatest common factor of 24 and p?
12
Let v be 1836/42 - 4/(-14). Suppose -64 = -3*s + v. Let x = 878 - 869. Calculate the greatest common factor of x and s.
9
Let x be 1 - (-1*12 + 1). Let q be (12/(-3))/((-6)/x). Let j be -4 + 1/1 - -15. What is the greatest common factor of q and j?
4
Suppose -26*j + 110*j = 23940. Calculate the greatest common divisor of 114 and j.
57
Suppose 4*v - m - 929 = -v, 0 = -v - 5*m + 191. Suppose -8*o - 786 = -v. Let t = 132 + o. Calculate the highest common divisor of 19 and t.
19
Suppose 40*m = -19*m + 413. Calculate the greatest common divisor of 1883 and m.
7
Let v(y) = -710*y + 5980. Let c be v(8). Calculate the greatest common divisor of 12 and c.
12
Suppose a - 5*d = 91, 0 = 2*a + 4*d - 0*d - 112. Suppose -715 = -71*x + a*x. What is the greatest common factor of 26 and x?
13
Let r(y) = -3*y**3 + 3*y**2. Suppose 0 = -4*s + 8*s - 8. Let k be r(s). Let q = k - -16. Calculate the highest common divisor of q and 28.
4
Suppose 0 = -25*i + 831 + 44. Let v(n) = 15*n + 3*n**2 + 17*n - 42*n + 10. Let r be v(10). Calculate the highest common divisor of i and r.
35
Suppose 26*n + 915 = 31*n - u, -2*u = 4*n - 732. What is the greatest common divisor of n and 1037?
61
Let c = 8503 - 8495. Calculate the greatest common divisor of c and 2084.
4
Let i(k) = 18*k - 171. Let a be i(63). Calculate the highest common factor of a and 749.
107
Let x = -405 + 573. Let q be 4*(-6)/48 + 270/4. Suppose -k - q - 34 = -4*m, 0 = -m + 5*k + 49. What is the highest common factor of x and m?
24
Let o(g) = g**3 + 1. Let f be o(2). Suppose 0 = -13*x - 367 + 835. What is the highest common divisor of f and x?
9
Suppose 5*q + 0*q = 5*y + 280, -4*y = -q + 230. Let j = 34 + y. Let h = j - -84. Calculate the greatest common factor of h and 15.
15
Let x = -10156 - -10342. Calculate the greatest common divisor of 42 and x.
6
Suppose 0 = 2*v - 3*o - 384, 5*v + 0*v - 934 = o. Suppose 9*u - 480 = v. What is the greatest common factor of 148 and u?
74
Suppose -32265 = -664*z - 141*z + 47430. Suppose 2*q + 0*q = 132. Calculate the greatest common factor of z and q.
33
Let z be (-38)/4*(-18)/1. Suppose 5*i + s - 542 = -42, -2*s = 0. Suppose i = 5*p + l, 0*p - 63 = -2*p - 5*l. Calculate the highest common factor of p and z.
19
Suppose 0 = -0*r + 19*r - 228. Let v = 25 - 43. Let k be (-6 - 0)/1*v. Calculate the highest common factor of r and k.
12
Suppose 61*c - 145 = 282. Suppose 2*h + h = -2*a + 68, a - 2*h - 34 = 0. Suppose -428 = -c*m + a. What is the highest common factor of m and 44?
22
Suppose 0*d - 2*d + 2887 = 3*h, 964 = h - d. Let j = -943 + h. Let v(b) = b**3 + b**2 - 3*b - 2. Let l be v(3). What is the highest common divisor of j and l?
5
Suppose -5*z + 16 + 119 = 0. Let s(v) = 16*v**2 + 21 - 15*v**2 + z. Let h be s(0). What is the highest common factor of h and 12?
12
Suppose -18*n + 207 = -117. What is the greatest common factor of 142 and n?
2
Suppose -12*b + 27094 = 7*b. What is the greatest common factor of 23 and b?
23
Let x = 251 + -80. Let y = -5181 - -5199. What is the highest common factor of y and x?
9
Let y = 9 + 5. Let s = 9812 + -9126. What is the highest common divisor of y and s?
14
Let f be (-40)/32 + (-923)/4. Let g = f + 62. Let w = g - -262. What is the highest common divisor of 230 and w?
46
Let v = 484 + -194. Suppose p - 22 = -3*r, -p + 6 = 14. Calculate the highest common factor of r and v.
10
Let x(i) = 15*i**2 - 5*i + 14. Let j be x(2). Suppose 0 = 4*d - 2*f - j, 5*f = -d + 4*d - 48. What is the greatest common divisor of 24 and d?
8
Let d = 15494 + -15450. Let c = 11 - -1. What is the highest common factor of c and d?
4
Suppose 9*v + 515 = -988. Let l = 496 + v. Calculate the highest common factor of l and 47.
47
Let o be ((-14)/(-4) + (-6)/(-8))/((-1)/(-96)). Calculate the highest common factor of 648 and o.
24
Suppose 11*l - 2*l = -69 + 141. Let r be 2042/4 + (-6)/(-4). Calculate the greatest common factor of l and r.
8
Let i be -4 - 0 - -9 - (5 + (-145 - -2)). What is the highest common factor of 182 and i?
13
Suppose 202 = 3*k + l, -3*k - 8*l + 4*l + 205 = 0. Suppose -4*y = -778 - 562. What is the highest common divisor of k and y?
67
Let a = -3890 - -4094. What is the greatest common divisor of a and 336?
12
Let i be (-1)/(-11) + (-240828)/(-671). Suppose f + i = 2*p, -55 = -p - 2*f + 137. Calculate the greatest common factor of p and 130.
26
Let v(r) = 39*r + 28. Let i be v(-2). Let c = -15 - i. Calculate the highest common divisor of 455 and c.
35
Suppose -240 = 101*z - 107*z. Calculate the highest common divisor of z and 540.
20
Let a be ((-3)/(-12))/(1/(-8)). Let u(b) = -31*b - 29. Let n be u(a). Calculate the highest common divisor of n and 77.
11
Let r(i) = 57*i - 151. Let p(k) = -59*k + 149. L | {
"pile_set_name": "DM Mathematics"
} |
- 11
Simplify (sqrt(24)/sqrt(2)*-6)/sqrt(4) + (sqrt(54)/sqrt(3)*-3)/sqrt(6).
-9*sqrt(3)
Simplify -4*(sqrt(38) - (-6*(sqrt(38) - (sqrt(152)/sqrt(4) + sqrt(38))) - sqrt(38)))/(-2*sqrt(200))*-2.
8*sqrt(19)/5
Simplify ((3*sqrt(168)/sqrt(3))/(sqrt(4)/(sqrt(20)/sqrt(160) - sqrt(2))))**2.
567/4
Simplify (2*(sqrt(66) - sqrt(66)*3) - sqrt(66))/(-2*sqrt(6)*-6).
-5*sqrt(11)/12
Simplify (sqrt(405) - -6*(sqrt(405) + 1) - 3*1*sqrt(405))**2 - ((sqrt(405)*1*-5)**2 + (-4 + sqrt(405)*-1)**2).
-4030 + 360*sqrt(5)
Simplify ((-2 + sqrt(637))**2*-6 - sqrt(637)) + sqrt(91)/(sqrt(77)/(sqrt(11) + -3*sqrt(11))).
-3846 + 159*sqrt(13)
Simplify (5*-2*sqrt(70) + 2*(sqrt(70) + sqrt(70)*-2 + sqrt(70)) + sqrt(70))/(sqrt(10) + 1*sqrt(40) - sqrt(1440)*-1).
-3*sqrt(7)/5
Simplify (sqrt(45) + (sqrt(2205) - sqrt(2205)*-2 - sqrt(2205)) - sqrt(5445)*2)/(4*sqrt(9)*-1 - (sqrt(9) + sqrt(81) + sqrt(9))*4).
7*sqrt(5)/24
Simplify ((0 + sqrt(2352) + 1)**2 + (-3*(sqrt(288)*-1 - sqrt(288)))/sqrt(6))*4.
320*sqrt(3) + 9412
Simplify ((sqrt(2178) - ((sqrt(2178) - 1*sqrt(2178)*-2) + sqrt(2178))) + sqrt(2178))/(6*sqrt(9)*1*5) + 5.
-11*sqrt(2)/15 + 5
Simplify (-2 + (sqrt(1008) + 4 + sqrt(1008) + -1 - sqrt(1008)*1*5))**2.
-72*sqrt(7) + 9073
Simplify -5*sqrt(72)*1*3 - 3*(sqrt(72) + -1 - sqrt(72))*1.
-90*sqrt(2) + 3
Simplify -3 + ((-1 + -1*(sqrt(75) + 0)*-4)*3)**2.
-360*sqrt(3) + 10806
Simplify 3 + 6*(4 + sqrt(13) + (sqrt(91)/(-2*sqrt(7)))**2 - (-5 + sqrt(1872)*-1)).
153/2 + 78*sqrt(13)
Simplify -1 + (sqrt(252) - (1 + sqrt(252))**2) - ((-5*sqrt(315) - sqrt(315)) + sqrt(35))/sqrt(5).
-254 + 11*sqrt(7)
Simplify (-4*sqrt(84)/sqrt(2)*-5)/(5*sqrt(60)/(-2*sqrt(10))) + 1.
-8*sqrt(7) + 1
Simplify ((sqrt(95) + sqrt(95)*1*-1)*3)/(3*sqrt(40)/(sqrt(8) + sqrt(32)/sqrt(4))).
0
Simplify (3 + -6*(0 + sqrt(147)) + -2)*-6.
-6 + 252*sqrt(3)
Simplify ((sqrt(21) - sqrt(168)/sqrt(8))*-6)/(-3*sqrt(21)/sqrt(7)).
0
Simplify -3 + (((sqrt(95) - (sqrt(95) + -6*sqrt(95)*2))*5)/((sqrt(10)/sqrt(2)*5 - sqrt(5)) + sqrt(20)/(sqrt(4) - sqrt(64))))**2.
615237/121
Simplify (3*(4 + (sqrt(448) - (sqrt(448) + -2))*-5) + -5)**2.
529
Simplify -5 + (2*sqrt(38)*-2)/sqrt(512)*-6.
-5 + 3*sqrt(19)/2
Simplify ((-2*sqrt(1408))/(sqrt(8)/sqrt(4)*-4) + 1 + (sqrt(275) - (-1 + sqrt(275)))*-3)**2.
-16*sqrt(11) + 180
Simplify (3*sqrt(1575))/sqrt(9) + (1*sqrt(63))**2 + -3.
15*sqrt(7) + 60
Simplify (sqrt(315)*-1 + sqrt(35) + sqrt(350)/(sqrt(10)*-2) + sqrt(35))/(3*sqrt(60)/sqrt(108)).
-3*sqrt(7)/2
Simplify ((sqrt(114) - ((sqrt(114) - sqrt(114)*1) + sqrt(114)))*2)/(sqrt(864) - sqrt(864)*2) + 2.
2
Simplify -2*(-4*(sqrt(500) + 6*(sqrt(500) + sqrt(500)*-1)) + -5)**2.
-16050 - 800*sqrt(5)
Simplify (sqrt(25)*2)/sqrt(5) + 1*sqrt(10)/sqrt(2) - (-4*(sqrt(80)*-1)**2 - sqrt(80)).
7*sqrt(5) + 320
Simplify -1*sqrt(26)/(sqrt(2)*3) - ((sqrt(104)/(sqrt(8) - sqrt(8)*1 - sqrt(8)))**2 + -4).
-9 - sqrt(13)/3
Simplify (sqrt(1300)*-5 + sqrt(52))/(sqrt(64)*2 - sqrt(4)).
-24*sqrt(13)/7
Simplify (sqrt(55) - -3*sqrt(165)/sqrt(3))/(sqrt(176) + sqrt(176) + (sqrt(176) - 1*sqrt(176)) + sqrt(176) - sqrt(176)) + 0.
sqrt(5)/2
Simplify (5*((-6*1*sqrt(36))/(sqrt(12) - -2*sqrt(72)/sqrt(6)) + 4))**2.
-400*sqrt(3) + 700
Simplify ((1 + -5*(2*sqrt(1792) - sqrt(1792)) + sqrt(1792) + 5)*4)**2.
-12288*sqrt(7) + 459328
Simplify (sqrt(1088) - ((sqrt(1088)*-2 - sqrt(1088)) + -2)**2 - (sqrt(1088)*1 + -1)**2) + (sqrt(34)/sqrt(2) + -4 - 1*sqrt(17)*-2)*-1.
-10881 - 75*sqrt(17)
Simplify 6*((0 + -1*sqrt(76))**2 - ((-1 + sqrt(76))*3)**2).
-3702 + 216*sqrt(19)
Simplify ((sqrt(1700) - (-6*(sqrt(1700) - (sqrt(1700) + -2)) - sqrt(1700)))**2 + (sqrt(1700) - -3*sqrt(1700)*-1))*4 + -4.
1840*sqrt(17) + 27772
Simplify ((sqrt(272) + 2)*2 - (-1 + -5*sqrt(272)))**2*4.
1120*sqrt(17) + 53412
Simplify -4 + (sqrt(28) - sqrt(896)/sqrt(2))/(sqrt(256) - (sqrt(256)*-2 + sqrt(256))).
-4 - 3*sqrt(7)/16
Simplify ((1*sqrt(187)*1)/(2*-2*sqrt(11)))**2.
17/16
Simplify ((sqrt(52)/(4*sqrt(16) + sqrt(4)) + -6*-2*sqrt(13)*-6)*3)**2.
5441917/9
Simplify (sqrt(12)/sqrt(96) + -3)**2 + 3 + -3.
-3*sqrt(2)/2 + 73/8
Simplify (((sqrt(200) + sqrt(200)*1)/sqrt(8))/(5*sqrt(80)))**2*5.
1/4
Simplify ((sqrt(13) + -2*sqrt(13) + 2 + sqrt(13) + 1 + sqrt(468))*5 + -2)**2.
780*sqrt(13) + 11869
Simplify 2*((-2*((0 + sqrt(1053) - sqrt(1053)) + -4))**2*3 + 4).
392
Simplify (sqrt(2430)*-1 + sqrt(480)*4)/(((sqrt(96)*-2)/sqrt(2))/sqrt(8)).
-7*sqrt(5)/2
Simplify 2 + 4*(2 + (1 + -1 + 2*sqrt(684))**2).
10954
Simplify 5*(1 + sqrt(20)) - (2*sqrt(120))/sqrt(6) - sqrt(200)/(sqrt(810)*-1).
5 + 56*sqrt(5)/9
Simplify 6*-6*((sqrt(1584) - (1 + sqrt(1584) + 2)) + sqrt(1584) + 5).
-432*sqrt(11) - 72
Simplify (3*sqrt(130)*2 - sqrt(130) - -1*sqrt(130)*5)/((sqrt(120)*1)/sqrt(12)*-2).
-5*sqrt(13)
Simplify (sqrt(306)/(2*sqrt(216)))/(-4*sqrt(108)*5 - sqrt(108)).
-sqrt(17)/1512
Simplify 5*(3 + (sqrt(245) - (sqrt(245) + 3*sqrt(245) + 4))).
-105*sqrt(5) - 5
Simplify (3 + (sqrt(500) - (1 + sqrt(500))*-4) + sqrt(500) + 3 + -1*sqrt(500))**2*2.
2000*sqrt(5) + 25200
Simplify ((sqrt(50) + 1)*-5 - (sqrt(3200)*1 + sqrt(3200))**2) + (sqrt(98)*2 - sqrt(14)/(2*sqrt(7) + sqrt(7))).
-12805 - 34*sqrt(2)/3
Simplify (-6*-3*sqrt(63))/(-2*(sqrt(9) - sqrt(225)) - sqrt(9)).
18*sqrt(7)/7
Simplify (-2*(1 + 0 + sqrt(1584) + -4 + -1*(-2*sqrt(1584) + sqrt(1584))))**2.
-576*sqrt(11) + 25380
Simplify ((sqrt(325) + sqrt(325) + -4 + 5*sqrt(325) + sqrt(325))*-4*2)**2.
-20480*sqrt(13) + 1332224
Simplify (((-1 + sqrt(192) - sqrt(192))*4 + sqrt(192))*3 - (sqrt(36)/(sqrt(1728)*1) + -3))**2.
-861*sqrt(3)/2 + 86257/48
Simplify 4 + (((-1*sqrt(78) - sqrt(78)) + sqrt(78))/sqrt(6)*-5)**2 - (((sqrt(130)*2)/sqrt(10) - (sqrt(117) + (sqrt(117) + 0)**2)) + -5).
sqrt(13) + 451
Simplify (sqrt(216)/((sqrt(6) + -2*sqrt(6) - sqrt(6))*-4))/(6*sqrt(108)*2)*2.
sqrt(3)/144
Simplify -6*-4*(-4*(3*sqrt(500))**2*2 + 5).
-863880
Simplify (2*2*sqrt(605) + 4*2*sqrt(605))**2 - (-4 + -1 + sqrt(605) + -2).
-11*sqrt(5) + 87127
Simplify (2*((sqrt(512) + -4 - (sqrt(64)*1)/sqrt(8)) + 5))**2.
112*sqrt(2) + 1572
Simplify (sqrt(450) - (sqrt(450) + (-3*(-1*sqrt(450) + sqrt(450)) - sqrt(450))))/(sqrt(40)/sqrt(4)*-4 + sqrt(250)*-1).
-sqrt(5)/3
Simplify -1 + 2 + 5*sqrt(1900)*3.
1 + 150*sqrt(19)
Simplify ((sqrt(136) + -2*(3*sqrt(136) + sqrt(136)))*-5)/(-1*(sqrt(224)/sqrt(4))/sqrt(7)).
-35*sqrt(17)
Simplify -5 + sqrt(1900) + -5 - (sqrt(304) + -2 + sqrt(304) + sqrt(304) - (sqrt(38)*2)/sqrt(2))**2.
-1914 + 50*sqrt(19)
Simplify 5*(4 + sqrt(8)/sqrt(4) + sqrt(2) + 3 + 4*-1*(sqrt(2)*-3 + sqrt(2)))**2.
700*sqrt(2) + 1245
Simplify -5*((1*(-1 + sqrt(275)))**2 + 5 + (1*sqrt(275) + sqrt(275))**2 + -1*sqrt(275) + sqrt(275) + -5 + -4).
-6860 + 50*sqrt(11)
Simplify -1*(3 + ((sqrt(140)*-2)/sqrt(7))**2).
-83
Simplify -2*(2 + (sqrt(26)/sqrt(2))**2 + 5 - ((1*sqrt(52)/sqrt(4))**2 - ((sqrt(130)*2)/sqrt(10) - sqrt(13)))).
-14 - 2*sqrt(13)
Simplify (sqrt(140)/(sqrt(90)/sqrt(9)))/(-6*sqrt(42)/sqrt(6)).
-sqrt(2)/6
Simplify (5 + (-1*sqrt(700) - sqrt(700)) - (-3 + (sqrt(700) - (sqrt(700) + -2*sqrt(700))) - sqrt(700)))**2*-5.
-31820 + 2400*sqrt(7)
Simplify (-1*(2 + (2*(4 + sqrt(475)) - sqrt(475) - sqrt(475)))*-1)**2.
100
Simplify ((sqrt(637) - (sqrt(637)*5*1 + sqrt(637))) + -3)**2 + 3.
210*sqrt(13) + 15937
Simplify -1*(sqrt(21)/sqrt(3)*6)**2 - (sqrt(7) + (-2*(sqrt(7) + 0 + sqrt(7)))**2 + sqrt(7))*-2.
-28 + 4*sqrt(7)
Simplify (-5 + -1 + 2*(-4 + (sqrt(325) - 1*sqrt(325)) + -2*-1*sqrt(325)))**2.
-560*sqrt(13) + 5396
Simplify 6*4*sqrt(209)/sqrt(176) + -3 + 2 + sqrt(19) + sqrt(19) + sqrt(76) + sqrt(19) + ((sqrt(19) + sqrt(19)*1)*-4 + sqrt(19))**2.
11*sqrt(19) + 930
Simplify ((sqrt(153) - (sqrt(153) - sqrt(153)*-2)*-5)/sqrt(9) - (sqrt(17) + 1 + sqrt(833) + (sqrt(17) - sqrt(51)/(sqrt(6)/sqrt(2) + sqrt(3))))) + -1.
-2 + 15*sqrt(17)/2
Simplify 1*(1 + (sqrt(11) - (sqrt(396) + -1) - (sqrt(11) + (sqrt(11) - ((sqrt(176) - ((sqrt(176) + 2)**2 - sqrt(176))) + sqrt(176)))))).
-178 - 11*sqrt(11)
Simplify -6*6*5*sqrt(833)*-2*-5.
-12600*sqrt(17)
Simplify (5*(-3 + (sqrt(192) - (-1 + sqrt(192))) - (1*sqrt(192) + -5)) + 5)**2.
-1600*sqrt(3) + 5200
Simplify (-3 + -3 + 2*((0 + sqrt(288))*-1 + sqrt(288) - (sqrt(288) - -1*sqrt(288)*-6)))**2.
-1440*sqrt(2) + 28836
Simplify sqrt(243) - (4 + sqrt(243) + -3) - (sqrt(243) + (sqrt(243) + sqrt(243)*-1)*1).
-9*sqrt(3) - 1
Simplify (3 + (2*(0 + sqrt(1331) + sqrt(1331) - | {
"pile_set_name": "DM Mathematics"
} |
sqrt(25) + sqrt(25))/(2*sqrt(80)).
sqrt(5)/4 + 2
Simplify (((sqrt(189) - (sqrt(189) + (6*sqrt(189) - sqrt(189)))) + sqrt(189))/sqrt(9))/sqrt(7).
-4*sqrt(3)
Simplify (2 + sqrt(1300))*-6.
-60*sqrt(13) - 12
Simplify ((sqrt(121) + (sqrt(121) + 2*sqrt(121))*-4 - sqrt(121))/sqrt(11) - (3 + sqrt(891) + -1))**2.
84*sqrt(11) + 4855
Simplify -3 + -5*(3 + sqrt(208) + 1).
-20*sqrt(13) - 23
Simplify ((sqrt(153)*-1 - sqrt(153)) + 2)**2 + sqrt(153) + (-1*sqrt(153) + -3)**2.
-3*sqrt(17) + 778
Simplify sqrt(102)/(sqrt(24)/(sqrt(8)/sqrt(2))).
sqrt(17)
Simplify (-4*((sqrt(1568) - (sqrt(1568) - (sqrt(1568) + 0)))*3 + sqrt(1568) + sqrt(1568)))**2.
627200
Simplify 2*((4*(sqrt(704) + sqrt(704) + sqrt(704)*-1))**2 + sqrt(704)).
16*sqrt(11) + 22528
Simplify (sqrt(16)/((sqrt(8) - (sqrt(8) + (sqrt(8) - sqrt(24)/sqrt(3)))*6) + sqrt(8)))**2.
1/8
Simplify (sqrt(45) - sqrt(2880)*1 - -1*(sqrt(45) + -1))**2.
36*sqrt(5) + 1621
Simplify (-5 + sqrt(17)*2)**2 + sqrt(17) - ((sqrt(17) - (sqrt(17) + 0)) + -2)**2.
-19*sqrt(17) + 89
Simplify sqrt(2736) - (sqrt(2736)*1 + 3 + sqrt(2736)).
-12*sqrt(19) - 3
Simplify 3 + sqrt(65)/(-6*sqrt(5)*-4 - sqrt(5)).
sqrt(13)/23 + 3
Simplify sqrt(187)/(-5*((-2*sqrt(11) - sqrt(11)) + sqrt(11))).
sqrt(17)/10
Simplify (5*sqrt(3)*2 + sqrt(3)*1 + 5 + sqrt(3))*-2.
-24*sqrt(3) - 10
Simplify (3*(sqrt(539) + -4) - sqrt(539))**2.
-336*sqrt(11) + 2300
Simplify ((sqrt(108) + 0)**2 + sqrt(108) - (-1*sqrt(243))**2)*5.
-675 + 30*sqrt(3)
Simplify 0 + (3 + (0 + sqrt(171) - sqrt(171)))**2.
9
Simplify (3*(sqrt(38) + sqrt(38)*-2 + sqrt(38)))/(sqrt(24)/(-2*sqrt(12))).
0
Simplify (0 + sqrt(396) + 2)**2.
24*sqrt(11) + 400
Simplify 2*2*2*sqrt(1539).
72*sqrt(19)
Simplify sqrt(605) + (sqrt(605) - (-5 + -2 + sqrt(605))) + sqrt(605).
7 + 22*sqrt(5)
Simplify 4*(-2 + sqrt(32)).
-8 + 16*sqrt(2)
Simplify (sqrt(5) - (sqrt(125)*-2 - sqrt(125))) + sqrt(320) + -2*sqrt(320).
8*sqrt(5)
Simplify sqrt(539)*1 - sqrt(539) - 5*sqrt(33)/sqrt(3).
-5*sqrt(11)
Simplify (sqrt(204) + (sqrt(204) - (sqrt(204) + sqrt(204)*2)) + sqrt(204))/sqrt(12) - sqrt(17) - sqrt(272)*4.
-17*sqrt(17)
Simplify -3 + (-2*(-1*sqrt(171) - sqrt(171)))/sqrt(9).
-3 + 4*sqrt(19)
Simplify sqrt(180) + (sqrt(180) + sqrt(180) + 2*sqrt(180))**2*-6.
-17280 + 6*sqrt(5)
Simplify 3 + (-6*(sqrt(1331) + 0) + -2)**2.
264*sqrt(11) + 47923
Simplify (sqrt(1080)*-2 - sqrt(1080))/((sqrt(110) + 1*sqrt(110))/sqrt(11)).
-9*sqrt(3)
Simplify 3 + 4*sqrt(320) + -4.
-1 + 32*sqrt(5)
Simplify 3 + 6*(sqrt(76)*-1*1)**2.
459
Simplify 3 + 2 + (2*sqrt(5))**2 + sqrt(5) + 5.
sqrt(5) + 30
Simplify 5*(sqrt(88)/sqrt(11) + 0 - sqrt(8) - sqrt(8)).
-10*sqrt(2)
Simplify -2 + (-3 + sqrt(176))**2.
-24*sqrt(11) + 183
Simplify ((-1*-3*sqrt(18))/((sqrt(36)*2)/sqrt(4)))**2.
9/2
Simplify (sqrt(637)*-2)**2 + 5.
2553
Simplify (sqrt(153)/((sqrt(72)*2 - sqrt(72))/sqrt(8)))**2.
17
Simplify sqrt(2736)*1 + sqrt(19) + -2 + 2.
13*sqrt(19)
Simplify sqrt(50)/(1*sqrt(90) + sqrt(90))*-2.
-sqrt(5)/3
Simplify (sqrt(24) - (sqrt(216) - 1*sqrt(216)))/((sqrt(200) - (sqrt(200) + sqrt(200)*-2)) + sqrt(200) + sqrt(200) - sqrt(8) - sqrt(8) - sqrt(8)).
sqrt(3)/17
Simplify (4*-6*sqrt(72)*-2)**2.
165888
Simplify (0 + sqrt(55)/(sqrt(33)/sqrt(3)*-5))**2.
1/5
Simplify -1*(sqrt(17) + (sqrt(17) + 0 - sqrt(17))**2 + 3) + -2.
-5 - sqrt(17)
Simplify (4*sqrt(52)/sqrt(4)*-1 + -1)**2.
8*sqrt(13) + 209
Simplify ((((sqrt(121) - -1*sqrt(121)) + sqrt(121))*5)/(sqrt(110)/(sqrt(20)/sqrt(2))))**2.
2475
Simplify 2 + 1*sqrt(112) + (sqrt(112) - ((0 + sqrt(112) - sqrt(112)) + -2)) + sqrt(112).
4 + 12*sqrt(7)
Simplify ((sqrt(99)/sqrt(3))/sqrt(11))**2 + (sqrt(24)*-1 + sqrt(24))/sqrt(8).
3
Simplify (sqrt(3) - (4 + sqrt(3)))**2 + 3 + (-1*sqrt(3)*-2 - sqrt(3)).
sqrt(3) + 19
Simplify (-4*(-2 + sqrt(1872) - sqrt(1872)) + sqrt(1872) + 3)**2.
264*sqrt(13) + 1993
Simplify (1 + (sqrt(121) - (sqrt(121)*-5 - sqrt(121)))/sqrt(11))*-6.
-42*sqrt(11) - 6
Simplify sqrt(77)/(sqrt(21)/(sqrt(3)*1) + sqrt(7)).
sqrt(11)/2
Simplify (2 + sqrt(33)/sqrt(3) + sqrt(11))**2 + 4.
8*sqrt(11) + 52
Simplify 3 + (sqrt(40)/sqrt(5))/sqrt(4).
sqrt(2) + 3
Simplify (((1*sqrt(833) + sqrt(833) - sqrt(833)) + sqrt(17) + sqrt(34)/sqrt(2) + 0)*-6)**2.
49572
Simplify -2 + sqrt(832) + (sqrt(117) + sqrt(117)*2 + sqrt(117))/sqrt(9).
-2 + 12*sqrt(13)
Simplify ((sqrt(448)*-2 + sqrt(448))/((sqrt(484)*1 + sqrt(4) - sqrt(4)) + sqrt(4)) + -3)**2.
2*sqrt(7) + 88/9
Simplify 0 + sqrt(7)*1 + 4 + sqrt(7) + sqrt(63).
4 + 5*sqrt(7)
Simplify -3*(sqrt(304) - (sqrt(304) + (sqrt(304) + (-1 + sqrt(304))*-3)**2) - sqrt(304)).
-132*sqrt(19) + 3675
Simplify (sqrt(7) + sqrt(56)/sqrt(8))*-3 + -3 + (sqrt(7) + -3)**2.
-12*sqrt(7) + 13
Simplify ((sqrt(450)/(sqrt(9) + sqrt(9)*-5))/sqrt(10))**2.
5/16
Simplify -2*sqrt(931) - sqrt(304)*-1.
-10*sqrt(19)
Simplify ((sqrt(288) + sqrt(288)*2)/sqrt(6) - (sqrt(48) + sqrt(96)/sqrt(2)*3))*-1.
4*sqrt(3)
Simplify 2 + -3*sqrt(1700).
-30*sqrt(17) + 2
Simplify (4*(sqrt(45) + -2*sqrt(45) + -5)*5)**2.
12000*sqrt(5) + 28000
Simplify (-2*sqrt(325) + -4)**2.
80*sqrt(13) + 1316
Simplify ((2 + sqrt(2))**2 - sqrt(2))*6 + 3*(-2 + sqrt(2))**2.
6*sqrt(2) + 54
Simplify 3*3*(-2 + sqrt(180)).
-18 + 54*sqrt(5)
Simplify (sqrt(1700) + 2)**2 - (-3 + sqrt(1088))**2.
88*sqrt(17) + 607
Simplify 2 + sqrt(91)/(sqrt(84)/sqrt(48)).
2 + 2*sqrt(13)
Simplify sqrt(33)/((2*sqrt(11) + sqrt(11))*-2).
-sqrt(3)/6
Simplify sqrt(72)*2*-3 - (sqrt(72) + (1*sqrt(72))**2 + sqrt(72) + 3).
-75 - 48*sqrt(2)
Simplify sqrt(12)/(sqrt(36)*2)*2.
sqrt(3)/3
Simplify (1*sqrt(63) + 4 + -5)**2.
-6*sqrt(7) + 64
Simplify (((sqrt(374)*2 - sqrt(374) - sqrt(374) - sqrt(374))/sqrt(11))/(sqrt(2) + sqrt(8)/sqrt(4)*4 + sqrt(2)))**2.
17/36
Simplify -1 + (sqrt(396) + sqrt(44) - (-2*sqrt(44))**2).
-177 + 8*sqrt(11)
Simplify (-1*sqrt(99))**2 + sqrt(11) - (sqrt(77)/(3*sqrt(7)))**2.
sqrt(11) + 880/9
Simplify 5*sqrt(75)*-1.
-25*sqrt(3)
Simplify 2*sqrt(21)/sqrt(3) + sqrt(14)/sqrt(18).
7*sqrt(7)/3
Simplify (sqrt(65)/(-5*sqrt(5)*1) + (3 + sqrt(52) + sqrt(13))*-2)**2.
372*sqrt(13)/5 + 13393/25
Simplify (-3 + sqrt(7) + 1)**2 + 0 + sqrt(42)/sqrt(6).
-3*sqrt(7) + 11
Simplify (sqrt(2) + 2)*-5 + sqrt(2) - ((sqrt(8)/sqrt(4))**2 + 5).
-17 - 4*sqrt(2)
Simplify -5*(3 + -2*sqrt(2)).
-15 + 10*sqrt(2)
Simplify sqrt(396)/(2*sqrt(9)) - (0 + sqrt(44) + 0).
-sqrt(11)
Simplify ((0 + sqrt(343) + 0)*-4)**2.
5488
Simplify (-2 + 3 + sqrt(931))**2*1.
14*sqrt(19) + 932
Simplify (sqrt(170)/(sqrt(10) + (sqrt(10) + (sqrt(10) - sqrt(360)*-3) - sqrt(10))))**2.
17/400
Simplify sqrt(19) - (sqrt(1539) + (sqrt(1539) - (sqrt(1539) + -2*sqrt(1539) - sqrt(1539))))**2 - (2 + sqrt(19)*-1 - sqrt(19)).
-24626 + 3*sqrt(19)
Simplify sqrt(34)/(sqrt(350)/sqrt(7) - sqrt(2)).
sqrt(17)/4
Simplify (-1*(-2 + sqrt(17))*6)**2.
-144*sqrt(17) + 756
Simplify (sqrt(18) + sqrt(36)/sqrt(8))/(sqrt(81) - sqrt(81)*2 - sqrt(9)).
-3*sqrt(2)/8
Simplify (sqrt(75) - (-1 + sqrt(75)))**2 + -3 + 3.
1
Simplify (4*(-3 + sqrt(684)))**2*-1.
-11088 + 576*sqrt(19)
Simplify (sqrt(204)/(sqrt(60)/sqrt(5)*6))**2.
17/36
Simplify ((-3 + sqrt(63) - (sqrt(112) + (0 + sqrt(112) - sqrt(112)) + sqrt(112)))*2)**2*-2.
-1472 - 240*sqrt(7)
Simplify sqrt(12) + 2 - (sqrt(27) + (sqrt(432))**2).
-430 - sqrt(3)
Simplify (5*(-1*sqrt(65) - sqrt(65)))/sqrt(5).
-10*sqrt(13)
Simplify (sqrt(20)/(sqrt(6)/sqrt(3)))/(sqrt(72)*-1 - sqrt(2)).
-sqrt(5)/7
Simplify sqrt(3)*-1*-6 - (sqrt(3) + (sqrt(75))**2 + sqrt(3))*-4.
14*sqrt(3) + 300
Simplify ((sqrt(160)*-2)/sqrt(8))**2.
80
Simplify sqrt(18)/(sqrt(12)/(-1*sqrt(2))).
-sqrt(3)
Simplify (5 + 1*(-2 + sqrt(2448)))**2.
72*sqrt(17) + 2457
Simplify (sqrt(228) - -3*sqrt(228)*-1)/(sqrt(972) + (sqrt(972) - 1*sqrt(972)) + sqrt(972)).
-sqrt(19)/9
Simplify (-6*(1 + sqrt(180)) + sqrt(180))**2.
360*sqrt(5) + 4536
Simplify (0 + (sqrt(304) - (sqrt(304) + 2))*-6)**2.
144
Simplify (sqrt(44) - (sqrt(44) + -1))**2*-6.
-6
Simplify 3 + ((2*sqrt(17))**2 - sqrt(17)) + -3.
-sqrt(17) + 68
Simplify ((3*sqrt(85)*-1)/(sqrt(5) - sqrt(15)/sqrt(147)))**2.
833/4
Simplify ((sqrt(44) + -2 - sqrt(11))*-3)**2 + (-1 + (1*sqrt(88))/sqrt(8))**2.
-38*sqrt(11) + 147
Simplify -4 + sqrt(153)*1 + sqrt(17) + 4.
4*sqrt(17)
Simplify (sqrt(2448) + 1)*-5.
-60*sqrt(17) - 5
Simplify ((0 + sqrt(1584)*1 - sqrt(1584)) + sqrt(1584) + sqrt(1584))**2*-1.
-6336
Simplify 5 + (-5*sqrt(228)*3)/sqrt(12).
-15*sqrt(19) + 5
Simplify (sqrt(17) - | {
"pile_set_name": "DM Mathematics"
} |
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