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he power of 1/2, to the nearest integer?
1307
What is 30660758 to the power of 1/3, to the nearest integer?
313
What is 1125076 to the power of 1/7, to the nearest integer?
7
What is 342016 to the power of 1/2, to the nearest integer?
585
What is the cube root of 1333424 to the nearest integer?
110
What is 951350 to the power of 1/2, to the nearest integer?
975
What is 508680 to the power of 1/8, to the nearest integer?
5
What is 311371 to the power of 1/6, to the nearest integer?
8
What is 59420 to the power of 1/10, to the nearest integer?
3
What is 24287749 to the power of 1/3, to the nearest integer?
290
What is the square root of 2029034 to the nearest integer?
1424
What is 20179700 to the power of 1/9, to the nearest integer?
6
What is the cube root of 1537305 to the nearest integer?
115
What is the third root of 66054 to the nearest integer?
40
What is 3905765 to the power of 1/8, to the nearest integer?
7
What is the seventh root of 44347 to the nearest integer?
5
What is the square root of 11651532 to the nearest integer?
3413
What is 3012432 to the power of 1/10, to the nearest integer?
4
What is the sixth root of 7120422 to the nearest integer?
14
What is 421914 to the power of 1/7, to the nearest integer?
6
What is the tenth root of 4010437 to the nearest integer?
5
What is 926203 to the power of 1/2, to the nearest integer?
962
What is the fourth root of 7651487 to the nearest integer?
53
What is the cube root of 1574590 to the nearest integer?
116
What is the fifth root of 1802026 to the nearest integer?
18
What is the square root of 346529 to the nearest integer?
589
What is the third root of 81899 to the nearest integer?
43
What is 2255472 to the power of 1/7, to the nearest integer?
8
What is the eighth root of 327802 to the nearest integer?
5
What is the sixth root of 4381180 to the nearest integer?
13
What is the sixth root of 6622482 to the nearest integer?
14
What is 15417008 to the power of 1/2, to the nearest integer?
3926
What is the square root of 269411 to the nearest integer?
519
What is the third root of 3174048 to the nearest integer?
147
What is the sixth root of 20934125 to the nearest integer?
17
What is the cube root of 552967 to the nearest integer?
82
What is the cube root of 680906 to the nearest integer?
88
What is the ninth root of 4556633 to the nearest integer?
5
What is the fourth root of 2201132 to the nearest integer?
39
What is 236549 to the power of 1/10, to the nearest integer?
3
What is the sixth root of 21605 to the nearest integer?
5
What is 8670216 to the power of 1/4, to the nearest integer?
54
What is the seventh root of 1492055 to the nearest integer?
8
What is the cube root of 759780 to the nearest integer?
91
What is the ninth root of 1217725 to the nearest integer?
5
What is the third root of 551368 to the nearest integer?
82
What is 89653 to the power of 1/2, to the nearest integer?
299
What is the third root of 441154 to the nearest integer?
76
What is the third root of 241008 to the nearest integer?
62
What is 840723 to the power of 1/3, to the nearest integer?
94
What is 3030582 to the power of 1/2, to the nearest integer?
1741
What is 435193 to the power of 1/6, to the nearest integer?
9
What is 6471996 to the power of 1/2, to the nearest integer?
2544
What is the tenth root of 179694 to the nearest integer?
3
What is 1887212 to the power of 1/9, to the nearest integer?
5
What is 22526 to the power of 1/3, to the nearest integer?
28
What is 2833520 to the power of 1/3, to the nearest integer?
142
What is the cube root of 987935 to the nearest integer?
100
What is 1168610 to the power of 1/2, to the nearest integer?
1081
What is 65432 to the power of 1/2, to the nearest integer?
256
What is 4966079 to the power of 1/5, to the nearest integer?
22
What is the third root of 57421 to the nearest integer?
39
What is 1222846 to the power of 1/2, to the nearest integer?
1106
What is 12895606 to the power of 1/3, to the nearest integer?
235
What is the third root of 844042 to the nearest integer?
95
What is the cube root of 4698009 to the nearest integer?
167
What is the sixth root of 285000 to the nearest integer?
8
What is the cube root of 1145581 to the nearest integer?
105
What is the fourth root of 1729342 to the nearest integer?
36
What is the third root of 475341 to the nearest integer?
78
What is the seventh root of 2563303 to the nearest integer?
8
What is the tenth root of 5411724 to the nearest integer?
5
What is the sixth root of 316304 to the nearest integer?
8
What is the third root of 702487 to the nearest integer?
89
What is the square root of 3284075 to the nearest integer?
1812
What is the square root of 8994461 to the nearest integer?
2999
What is the third root of 200503 to the nearest integer?
59
What is 1542542 to the power of 1/5, to the nearest integer?
17
What is the third root of 1288458 to the nearest integer?
109
What is the square root of 11768987 to the nearest integer?
3431
What is 526261 to the power of 1/2, to the nearest integer?
725
What is 993913 to the power of 1/2, to the nearest integer?
997
What is the square root of 133439 to the nearest integer?
365
What is the third root of 11395288 to the nearest integer?
225
What is the sixth root of 339832 to the nearest integer?
8
What is the tenth root of 547512 to the nearest integer?
4
What is 730200 to the power of 1/2, to the nearest integer?
855
What is 364351 to the power of 1/9, to the nearest integer?
4
What is the sixth root of 18481489 to the nearest integer?
16
What is 29371 to the power of 1/5, to the nearest integer?
8
What is 37487119 to the power of 1/2, to the nearest integer?
6123
What is 70567 to the power of 1/2, to the nearest integer?
266
What is the ninth root of 9448764 to the nearest integer?
6
What is the eighth root of 11405693 to the nearest integer?
8
What is 462169 to the power of 1/2, to the nearest integer?
680
What is the fifth root of 208686 to the nearest integer?
12
What is the cube root of 170136 to the nearest integer?
55
What is 246713 to the power of 1/2, to the nearest integer?
497
What is the square root of 19396932 to the nearest integer?
4404
What is 194179 to the power of 1/3, to the nearest integer?
58
What is the square root of 5646184 to the nearest integer?
2376
What is 777292 to the power of 1/2, to the nearest integer?
882
What is 311612 to the power of 1/2, to the nearest integer?
558
What is the third root of 1171944 to the nearest integer?
105
What is 1607863 to the power of 1/4, to the nearest integer?
36
What is the tenth root of 159083 to the nearest integer?
3
What is 3093309 to the power of 1/8, to the nearest integer?
6
What is 1153038 to the power of 1/2, to the nearest integer?
1074
What is the square root of 10872006 to the nearest integer?
3297
What is 13723099 to the power of 1/4, to the nearest integer?
|
{
"pile_set_name": "DM Mathematics"
}
|
-5 + 22*sqrt(5)/27
Simplify 3 + (((sqrt(150) + sqrt(150)*-2)*-6)/(-6*sqrt(40)/sqrt(4)))/(5*((1*sqrt(240) + sqrt(240) - sqrt(240))/sqrt(4))/sqrt(12)).
-sqrt(3)/5 + 3
Simplify -6*(3 + -2 + (sqrt(55) - sqrt(220)/sqrt(4))/sqrt(11) + sqrt(45) + sqrt(135)/sqrt(3)*6 + sqrt(45)).
-144*sqrt(5) - 6
Simplify (3*-3*(sqrt(72) - -1*sqrt(72)))/((3*sqrt(18))/sqrt(2) + sqrt(9) + (sqrt(9) + -3*sqrt(9)*5 - sqrt(9))).
36*sqrt(2)/11
Simplify (sqrt(165)/sqrt(108) - sqrt(165)/sqrt(75))/((sqrt(77)*2*-2)/((sqrt(7) - (sqrt(7) - (sqrt(7) - sqrt(63))))*-1)).
sqrt(5)/60
Simplify -1 + (((sqrt(847) + 2)*-4 + -5 + -5*(sqrt(7) - sqrt(63)))*-3)**2.
7956*sqrt(7) + 74348
Simplify (2*(-3*sqrt(162)*3 + (sqrt(162) + sqrt(162) + -5*(sqrt(162) - (0 + sqrt(162))) + sqrt(162) - sqrt(162)))*2)**2*6.
762048
Simplify ((sqrt(136) + (sqrt(136)*-3*2 - sqrt(136)) + sqrt(136) + sqrt(136) - (sqrt(136) + sqrt(136)*-3)*-2)/(-2*sqrt(8)*4 - sqrt(512)*6))**2.
17/49
Simplify (-1*sqrt(50))/sqrt(10) + -4*(sqrt(5) - sqrt(15)/sqrt(3)) + -1 + -1 + 2 + 1*sqrt(5).
0
Simplify (((sqrt(99) - sqrt(11)) + -2 + 4)*-1 + -4 + ((2 + sqrt(1100) + sqrt(1100))*5 + sqrt(1100) - (sqrt(1100) + -1)*2))**2.
1056*sqrt(11) + 85220
Simplify (-2 + (sqrt(125) + -1)*1 + -2 - ((sqrt(125) - (sqrt(125) + 0 + sqrt(125)))*4 + -2 + 5))**2.
-400*sqrt(5) + 3189
Simplify (sqrt(245)*-3*-2)**2 + ((2 + sqrt(245))*-3)**2 + 1*((sqrt(245) - (sqrt(245) - (-4 + (sqrt(245) - sqrt(245)*2))**2)) + 4).
308*sqrt(5) + 11326
Simplify -5*sqrt(204)/(sqrt(1452)*-4) - (-1 + 1*sqrt(17) - (sqrt(17) + (-4*sqrt(170) + sqrt(170))/sqrt(10))).
-127*sqrt(17)/44 + 1
Simplify -6*(-5 + ((sqrt(520)*-2)/sqrt(10))/(-1*sqrt(20)/sqrt(5)))*-3.
-90 + 36*sqrt(13)
Simplify -2*(sqrt(272)*2*-1)**2*2 - (-4*(-2*sqrt(85) + sqrt(85) + sqrt(85) + sqrt(85)))/(sqrt(20) + sqrt(80)/sqrt(4))*-4.
-4352 - 4*sqrt(17)
Simplify (6*sqrt(209)*2*-6)/(sqrt(44)/(sqrt(4) - sqrt(256)))*-2.
-1008*sqrt(19)
Simplify (2*-3*(-2 + 2*sqrt(405) - (sqrt(405) - 3*(sqrt(405) + sqrt(405) + 1)))*1*-1)**2.
4536*sqrt(5) + 714456
Simplify ((sqrt(729) + sqrt(729)*-2)*2)/(5*(sqrt(3) + sqrt(300)*-1 + sqrt(300))) + 1.
-18*sqrt(3)/5 + 1
Simplify (((sqrt(3600) + (4*sqrt(3600)*-1 - sqrt(3600)) - sqrt(3600)) + (sqrt(3600) - -1*sqrt(3600))*6)/((sqrt(36)/(-1*sqrt(3)) - sqrt(48)/sqrt(4)*2)*2)*2)**2.
4900/3
Simplify (-3 + (sqrt(1573) - (0 + sqrt(1573) + sqrt(1573) - sqrt(1573))) + sqrt(1573) + 1 + 3)**2 - (sqrt(143) + (sqrt(143) + sqrt(143)*-1)*3)/(-1*sqrt(891)).
199*sqrt(13)/9 + 1574
Simplify ((-1 + -4*(sqrt(171) + 1 + sqrt(171))*1 + (sqrt(171) + sqrt(171) + (sqrt(171) + 0 - sqrt(171)) + -5)*-5)*-5)**2.
-54000*sqrt(19) + 1395100
Simplify (sqrt(162)/sqrt(9))**2 + (3*sqrt(72))**2 + ((sqrt(162) - (-5 + sqrt(162)*-1 + sqrt(162)))**2 - (1 + -2 + sqrt(162) + sqrt(162) - sqrt(162))).
81*sqrt(2) + 854
Simplify (-2 + 6*(sqrt(80)*3 - sqrt(10)/sqrt(2)*-3 - (sqrt(50) + -4*sqrt(450))/(sqrt(1210)*-2)))**2.
-348*sqrt(5) + 37849
Simplify ((sqrt(180)*-1)/sqrt(12))/(1*sqrt(147)) - (-3 + (2*sqrt(720) + sqrt(720))*2 + 5 + (0 + sqrt(720))**2).
-722 - 505*sqrt(5)/7
Simplify 2*(-3 + (sqrt(275) - 6*(2 + sqrt(275)))**2 + (sqrt(275) + (sqrt(275) + -1)**2)*1 + 5).
1190*sqrt(11) + 14594
Simplify ((1*sqrt(180)*-3)/((sqrt(270) + sqrt(30))/sqrt(6)))/(-5*sqrt(1200) + (sqrt(1200) + sqrt(12))*-3).
3*sqrt(3)/332
Simplify ((-1 + sqrt(176))*6 + 1)*2 + (5 + sqrt(176)*-2)*3 + -2 + -4.
-1 + 24*sqrt(11)
Simplify (sqrt(912) + sqrt(912)*-4 - sqrt(912) - sqrt(57) - 6*(sqrt(57) + -4*sqrt(57)))/(4*sqrt(36)/(sqrt(12) - (3*sqrt(108) + sqrt(108)))).
-11*sqrt(19)/4
Simplify 0 + -5*(3*(sqrt(1584) + sqrt(1584) + -1 + -4) + sqrt(1584)*1 + 3 + ((sqrt(1584) + 0 - sqrt(1584)) + -3 - sqrt(1584)))**2.
-286245 + 10800*sqrt(11)
Simplify (sqrt(75) + ((sqrt(75) + sqrt(75) + 1)*4)**2 + -5)*4 + -4 + sqrt(48) + 4 + 2 + (1 + sqrt(3))*-1.
1303*sqrt(3) + 19245
Simplify ((sqrt(2400) - (sqrt(2400) + sqrt(2400)*-5))*4)/(-1*(1*(sqrt(12) - sqrt(108)) + sqrt(12))).
200*sqrt(2)
Simplify 4*(sqrt(833) + (sqrt(833) - (sqrt(833)*-2)**2)) - -2*(sqrt(833) + sqrt(833) + 2) - (-1 + -1 + sqrt(833) + 1 + sqrt(833) + (sqrt(833) + 0)*2)**2.
-26653 + 140*sqrt(17)
Simplify (sqrt(450)/(sqrt(63)/sqrt(7) + sqrt(9)) - sqrt(300)/(sqrt(18)/sqrt(3)))/(3*sqrt(1210) + (sqrt(80)/sqrt(8) - sqrt(10))*-5).
-sqrt(5)/66
Simplify (sqrt(50)/(sqrt(2)*3) - sqrt(100)/sqrt(4)*-3)/(3*sqrt(1080)/sqrt(6)).
5*sqrt(5)/27
Simplify -4*(sqrt(85)*1*1 + (sqrt(85)*1*5 - sqrt(85)))/((sqrt(55) - (1*sqrt(2695) + sqrt(2695) - sqrt(2695)))/sqrt(11)).
10*sqrt(17
|
{
"pile_set_name": "DM Mathematics"
}
|
composite?
False
Let d(o) = -14*o**2 - 5*o + 22. Let x(b) = 29*b**2 + 10*b - 43. Let i(h) = -13*d(h) - 6*x(h). Is i(-13) composite?
False
Suppose -5 = -j, 2*h = h + 5*j + 164. Suppose 18 = 4*i - 2*b, i - 4*i - 5*b = 19. Suppose i*g - h = -23. Is g prime?
True
Suppose -16*w = -17*w, a - 2833 = -2*w. Is a a prime number?
True
Suppose 12*y - 12 = 6*y. Is 2710/(-15)*(-3)/y a prime number?
True
Let c(t) = 2*t**3 - 3*t**2 + 2*t - 3. Suppose 2 - 6 = -2*r. Let u be c(r). Suppose 0 = u*s - 5*a - 1080, 0 = 4*s + 2*a + a - 857. Is s a composite number?
True
Let j(l) = 15*l**2 + 40*l - 30. Let f(p) = -p**3 - 3*p**2 + 4*p - 11. Let i be f(-5). Is j(i) composite?
True
Suppose 381*d - 265542 = 375*d. Is d composite?
False
Suppose 0*l = -5*s - 5*l + 975, 0 = -4*l - 20. Suppose -5*r + f + 370 = -3*f, 3*r + 2*f - s = 0. Suppose 105 = k + 2*k + w, 2*k - r = -4*w. Is k a prime number?
False
Let y = 8 + -9. Let n be (36/24)/(y/(-102)). Suppose -n = -3*t + 2*g, -5*g = 5*t - 76 - 179. Is t a prime number?
False
Let d(u) = 8*u**3 - 3*u**2 - u - 3. Let x be d(3). Suppose 0 = 3*l + x - 30. Let w = -36 - l. Is w a composite number?
True
Suppose 2*o + 3*o = 5*y - 23655, -3*o = 12. Is y prime?
False
Let u(d) = 14*d**2 + 9*d + 2. Is u(-11) a composite number?
False
Let a(l) = -5*l + 1. Let w be a(1). Let c(q) = 3*q + 2. Let o be c(w). Is (24/o)/((-4)/10) a prime number?
False
Let d(s) be the second derivative of 29*s**3/3 + 3*s**2/2 - 15*s. Is d(7) a composite number?
False
Let n(u) = 10*u**3 + 3*u**2 - 5*u + 4. Let d be n(2). Suppose -188 = -2*o - 4*a + d, -16 = 4*a. Is o a composite number?
True
Suppose -f + 0*f + 2*r = -3017, 2*f - 2*r = 6028. Is f prime?
True
Let v be 18/45 - 5052/5. Let z = -511 - v. Is z a composite number?
False
Suppose 11278 = 2*v - 0*g + 4*g, -5*v = 4*g - 28195. Is v a composite number?
False
Let k(m) = 74*m**2 + 7*m + 14. Is k(9) composite?
True
Let j = -21 - -4. Let i = 9 + j. Let u(x) = -x**3 - 3*x**2 + 11. Is u(i) a prime number?
True
Let b(o) = -o**2 + 3*o + 7. Let d(m) be the first derivative of -2*m**3/3 + 3*m**2/2 + 7*m - 5. Let h(f) = 5*b(f) - 4*d(f). Is h(-5) a prime number?
True
Let t(f) = 186*f**2 - 18*f - 41. Is t(-7) composite?
False
Suppose 4*n + 72527 = 3*g - 11610, -2*n = g - 28059. Is g a prime number?
True
Let k(h) = h**3 + 6*h**2 + 4*h - 7. Suppose 0 = -3*q - 2*f + 14, q = -q - f + 10. Is k(q) a composite number?
False
Suppose -2*v = 2*f - 8, 0 = f - 2*f + 2. Suppose 261 = b - v*o - 154, o = -2*b + 815. Is b prime?
True
Let g(b) = 16590*b**2 + 7*b + 6. Is g(-1) a composite number?
True
Let o = 14191 - 3462. Is o a prime number?
True
Let o be 28/21 + (-4)/(-6). Suppose -4920 = -5*i - 5*p, i - o*i - 4*p = -987. Is i a prime number?
True
Suppose -5*h + 9*h - 3*a - 3359 = 0, 4213 = 5*h + a. Let k = -435 + h. Is k composite?
True
Let i = 5769 + 232. Is i a prime number?
False
Let w = 37589 + -24742. Is w prime?
False
Let v = 36162 + -23682. Let s = v + -8539. Is s a composite number?
True
Let p = 87841 - -8820. Is p prime?
True
Let q = 17 - 38. Is (-6495)/q - (-2)/(-7) composite?
True
Suppose 4*l + 8 = -8. Let u be 42/(-4) + (-2)/l. Let s(i) = -i**3 - 5*i**2 + 14*i + 13. Is s(u) a composite number?
False
Suppose 59452 + 47967 = 13*i. Is i composite?
False
Let a be 4/6 - (-1352)/6. Suppose -4*b = 7*b + 1584. Let v = b + a. Is v prime?
False
Suppose 58936 = 19*n - 11*n. Is n prime?
False
Let g(y) be the first derivative of -28*y**2 + 21*y + 20. Is g(-13) prime?
False
Suppose -2*t + 3*t = -13. Let y(d) = 2*d**3 + 2 + 15*d**2 + 9*d - 11 - d**3 + 5. Is y(t) a prime number?
False
Let o = 14 - 11. Suppose -5*y + 63 = 2*u + 365, -y - 453 = o*u. Let p = u - -236. Is p composite?
True
Let i(w) be the first derivative of -3*w**4/2 - 4*w**3/3 + 4*w**2 - w - 6. Is i(-4) composite?
True
Is 6483/((-23)/(-5) + -4) composite?
True
Let n = -3930 - -7721. Is n a composite number?
True
Let u be 3*((-6)/(-2) + -1). Is (u/3 + -253)/(-1) composite?
False
Let v = -30 + 42. Let f be (-80731)/(-114) - 2/v. Suppose 3*m - f = -m. Is m prime?
False
Suppose 14346 = 4*w + 30*a - 28*a, -w + 4*a = -3609. Is w a composite number?
True
Let z be (-9)/2 + (-5)/10. Let b be (3 + z + 2)/(-1). Suppose -5*a - d + 13 = 0, 3*a + d + b = 7. Is a a prime number?
True
Let k be -541*(-2 - 9/(-3)). Let v = k + 1986. Suppose -v = -2*y - 3*y. Is y composite?
True
Let z(k) = -9 - 4 - 9 - 235*k + 11. Is z(-6) a prime number?
True
Let a(y) = 73*y**2 + 36*y + 211. Is a(-16) prime?
False
Suppose 0 = 27
|
{
"pile_set_name": "DM Mathematics"
}
|
2*l
Let c(s) = -4*s - 2. Let v(t) = 5*t + 2. Suppose -n + 5*n + 14 = -2*j, 3*n = 0. Calculate j*c(k) - 6*v(k).
-2*k + 2
Let g(t) = -5*t**3 + 2*t - 2. Suppose 24 = -36*a + 48*a. Let w(h) = -15*h**3 + 7*h - 7. Give a*w(s) - 7*g(s).
5*s**3
Let i(c) = -15*c + 7*c**2 + 5*c + 8*c + 1. Let b(a) = -a**2 + a. Calculate 5*b(s) + i(s).
2*s**2 + 3*s + 1
Let w(j) = -18*j**2 - 2*j + 3. Let v(p) = 33*p**2 + 4*p - 6. Determine -3*v(l) - 5*w(l).
-9*l**2 - 2*l + 3
Let g(k) = 2*k - 11. Let a(f) be the first derivative of -4 + 5*f - 1/2*f**2. What is 9*a(s) + 4*g(s)?
-s + 1
Let v(w) = w - 56. Let r(m) = 1. Calculate 2*r(z) + 2*v(z).
2*z - 110
Let f(g) = -40*g**3 + 50*g - 50. Let k(z) = 0*z**3 + z - 771 + 770 - z**3. What is -f(q) + 50*k(q)?
-10*q**3
Let x(s) be the third derivative of -s**5/15 + 130*s**2. Let i(v) = 17*v**2. Calculate -2*i(f) - 9*x(f).
2*f**2
Let m(d) = 21*d - 4. Let z(l) = l. Determine -m(k) + 2*z(k).
-19*k + 4
Let u(v) = -1. Let o = -248 + 249. Let a(r) = -r**2 - 6. Determine o*a(h) - 6*u(h).
-h**2
Let s(z) = 2*z**2 - 4*z. Let o(p) = 5*p**2 - 9*p + 2. Let n(f) = -1. Let y(l) = -6*n(l) - 3*o(l). Give 27*s(m) + 4*y(m).
-6*m**2
Let b be 0 + 0 + 10/2. Let m be 3/(408/64 + -6). Let k(v) = -4*v - 3. Let a(h) = 6*h + 5. Calculate b*a(f) + m*k(f).
-2*f + 1
Let m(j) = -42*j + 7. Let d(i) = 83*i - 13. Determine -6*d(v) - 11*m(v).
-36*v + 1
Let a(z) = 5*z**2 - 2. Let f(c) = 476 - 955 + 3*c**2 + 6*c**2 + 476. Suppose -4*l + 17 = s, -7 = s - 3*l - l. Give s*a(d) - 3*f(d).
-2*d**2 - 1
Let s(p) = -p**2 - p - 7. Let d(f) = -6*f**2 - 4*f + 7. Let j(k) = d(k) + s(k). Let w(l) = 7*l**2 + 4*l. Determine -4*j(o) - 5*w(o).
-7*o**2
Let c(l) = 6*l + 2. Let t(f) = 6*f + 2. Let k(i) = -6*c(i) + 7*t(i). Let w(d) = -7*d - 2. Give -4*k(p) - 3*w(p).
-3*p - 2
Let v(y) = y + 2. Let b(w) = 7*w + 247. Calculate -b(c) + 4*v(c).
-3*c - 239
Let c(n) = -n**2. Let w(s) = s**3 - 6*s**2 - 28*s. Give 6*c(p) - w(p).
-p**3 + 28*p
Let v(i) = 3*i**2 - 53*i + 35. Let p be v(17). Let g(r) = r + 1. Let l(b) = 3*b + 6. Suppose 4*t = t + 12, 5*z + 2*t + 22 = 0. What is p*l(y) + z*g(y)?
-3*y
Let n(y) = 422*y. Let g(d) = -d. Determine -5*g(u) - n(u).
-417*u
Suppose -126 = -37*y + 19*y. Let m(i) = -i**2 + 7*i - 7. Let o(n) be the second derivative of -n**3/3 + n**2 - n. What is y*o(v) + 2*m(v)?
-2*v**2
Let l(c) be the first derivative of -3*c**2 - 54*c + 42. Let j(b) = 2. Give 54*j(y) + 2*l(y).
-12*y
Let s(t) = -3*t. Let w(p) = 10*p - 1. Determine -2*s(n) + w(n).
16*n - 1
Let n(s) = 3*s - 4. Let v(b) = -8*b + 12. Suppose 12 + 0 = -4*c, -4*r = c - 41. Determine r*n(q) + 4*v(q).
q + 4
Let f(c) = -16*c**3 + 3*c + 3. Let x(b) = 51*b**3 - 12*b**2 - 7*b - 13. Let p(o) = -3*o**3 + 2*o**2 + 1. Let v(q) = 6*p(q) + x(q). What is -7*f(d) - 3*v(d)?
13*d**3
Let p(z) = z. Let i(c) be the second derivative of -5*c**3/6 - c**2/2 - 2*c - 44. Determine -i(a) - 3*p(a).
2*a + 1
Let k(h) = -223*h**2 + 12. Let y(a) = 334*a**2 - 19. Determine 8*k(l) + 5*y(l).
-114*l**2 + 1
Let o(b) = -b**3 - 3*b**2 - 4*b - 3. Let x(g) = -14*g**2 - g - 25. Let t(v) = -5*v**2 - 9. Let f(a) = 8*t(a) - 3*x(a). Determine -3*f(w) - 2*o(w).
2*w**3 - w - 3
Let q(l) = -16 - 15 - 19 - 4*l + 44. Let i(x) = -3*x - 6. Determine -5*i(u) + 4*q(u).
-u + 6
Let v(g) be the first derivative of -2*g**3/3 - g**2/2 + 3*g - 16. Let q be (-6)/4 + 7/(-2). Let a(w) = 3*w**2 + 2*w - 5. Give q*v(k) - 3*a(k).
k**2 - k
Let x(o) = 9*o**3 - 5*o**2 + 2*o**2 - 8*o**3 + 4*o**2 - o. Let n(r) = r**3 + 2*r**2 - 2*r. What is n(s) - 2*x(s)?
-s**3
Let s(b) = -2*b**2 - 4*b. Let y(r) = 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
-2 - -8).
4
What is the value of -3 - ((1 - -6) + (0 - 5))?
-5
(29 - 34) + 7 + -2
0
Calculate -4 - -1 - (0 + -8 - -5).
0
What is the value of 4 + (-1 - -5 - 6)?
2
Calculate 1 + 2 + -8 + 3 - 2.
-4
Evaluate (-11 - -22) + 1 + -8.
4
Evaluate 4 - (12 - 10) - 9.
-7
What is -10 - (-14 - -4) - (-4 - -1)?
3
(-1 - -3) + -1 + (1 - 7)
-5
Calculate (-4 - 4) + (6 - (6 + 2)).
-10
What is 0 + -3 - (3 + -1 + -2)?
-3
What is the value of -1 + -5 - -3 - -2?
-1
What is the value of -3 - (-1 + 2) - -2 - -8?
6
Evaluate -7 - (4 - 4 - 3).
-4
(1 + -1 + -1 - 1) + -3
-5
Calculate (-8 + 0 - (-4 + 0)) + 4.
0
5 + -10 + 10 + -3
2
What is the value of (-5 - -3) + 4 - (-2 + 4)?
0
Calculate (0 - 1) + 11 + -7.
3
Calculate (-1 - (-3 + 6)) + 0 + 1.
-3
Evaluate (3 - -4) + -5 - -1.
3
What is the value of (3 - 7) + -2 + 2?
-4
Evaluate 5 - (9 + -8) - (-6 + 0).
10
Calculate -3 + 1 - (-4 + (2 - 4)).
4
What is the value of 3 + (-11 - -12 - 4)?
0
Evaluate 3 - 4 - (1 - (2 + -1)).
-1
What is the value of -10 - (-3 + 10 + -19)?
2
What is the value of -1 + 3 + -1 - (6 + 0)?
-5
Evaluate 2 + -10 - (12 - (24 + -12)).
-8
(3 - 1) + 1 + (-2 - 1)
0
Evaluate -5 - -6 - (-3 + (-1 - -3)).
2
Calculate 4 + -7 + 2 + (-4 - -2).
-3
What is the value of (-3 - -1) + 1 - 1?
-2
What is the value of 8 + (-12 - (14 - 11))?
-7
Calculate 2 + (5 - -1) + -5 - 2.
1
Calculate -7 + (2 - (4 - 7 - -1)).
-3
What is 3 + (-2 - (8 - 2 - 2))?
-3
Evaluate 14 + -6 - (2 + 7).
-1
What is 1 + (2 - 1) + 1 + -3?
0
What is the value of -1 + (9 - 3) + -3?
2
Calculate -11 - (1 + -3) - -5.
-4
What is 12 + 1 + (0 - 8)?
5
What is the value of -5 + 13 + (9 - 5 - 9)?
3
What is 11 + -6 + 4 - 6?
3
Evaluate (-7 - (-7 + 4)) + 2 + -1.
-3
Calculate -1 - ((-1 - -9) + -15).
6
What is -9 - (-2 - (-3 + 6))?
-4
What is the value of 3 + (-19 + 16 - (2 - -6))?
-8
(1 - 3) + (10 - 9 - -1)
0
Evaluate (-2 - (-3 + 2)) + 2 + 6.
7
What is 1 + (-3 + -8 - -6)?
-4
-1 + -9 + 16 + -5
1
Evaluate -6 - (-2 + -3) - 2.
-3
Evaluate -5 + -3 - -2 - -11.
5
Calculate (-5 + -3 - -5) + 8.
5
Evaluate (12 - 5) + (-4 - 6).
-3
What is the value of -27 - -24 - (-3 - 1) - 6?
-5
Calculate 5 - (-4 + -1) - 8.
2
0 + (-3 + 5 - -1)
3
What is -1 - 0 - ((-4 - 3) + 5)?
1
Evaluate (1 - -3) + -8 - -1.
-3
Evaluate (-2 - (7 - 7)) + 8.
6
What is -1 + 0 + (-6 - (8 + -9))?
-6
What is the value of -6 + (0 - 1) + 3?
-4
Calculate 6 - 4 - (-3 + 8).
-3
Calculate -5 + -1 + 1 + 0.
-5
Evaluate (1 - (-2 - -4)) + 3.
2
What is 9 - (3 - -3 - 0)?
3
What is -1 - (3 + -10 + 4)?
2
Calculate (-7 - (2 - 4)) + -1 + 2.
-4
Evaluate -1 - (9 + -15 - 0).
5
Calculate -3 + -5 - (-9 - -3) - -3.
1
Calculate (-3 - -3 - 3) + 7.
4
Calculate 3 + -8 + 5 - -6.
6
Evaluate (-1 + 7 - 4) + -4.
-2
What is the value of -4 - ((4 - 10) + 0)?
2
Evaluate 3 + 5 + -4 - 2.
2
Calculate 4 + (17 - 11 - 4).
6
Calculate 0 + 0 + -1 - (89 - 99).
9
Evaluate 0 + 4 + 1 + -7.
-2
What is 0 + (-1 - (6 + -3 + 1))?
-5
Calculate -2 + 5 + (1 - (-2 - -4)).
2
Calculate 8 - (-3 + 11 - 0).
0
Evaluate -3 + -3 + 1 + 1.
-4
What is 2 - 2 - (-4 - (-3 + 3))?
4
(8 - (-4 + 12)) + -7
-7
Evaluate 10 + 1 + -7 + -10.
-6
What is the value of 3 + (5 - (1 + 3))?
4
5 - (2 + 2 + 0 - 5)
6
Calculate 12 + -5 + (-3 - (0 + 0)).
4
Calculate (11 - 1) + -37 + 33.
6
What is the value of -11 + (12 - -3) + -6?
-2
What is -2 + (-3 + 3 - 0)?
-2
Calculate -1 - -2 - (3 + -1).
-1
What is the value of -1 - 7 - (6 - (23 - 6))?
3
(1 - 2) + (-14 - -16) + 2
3
Calculate (-1 - (2 - -1)) + 5 - -4.
5
Evaluate 5 + (-5 + -2 - -2).
0
What is the value of -3 - (-5 + (0 - 2))?
4
What is the value of (-2 - 0) + -1 - (-6 + 1)?
2
1 + 1 + -6 - 0
-4
Evaluate (10 - (-2 + 11 + -5)) + -9.
-3
What is (-2 - (0 - 3)) + 0?
1
What is the value of (-6 - (-4 + 2)) + -5 + 9?
0
Calculate -7 + (-3 - -6) + 2.
-2
What is 1 + 0 + (-1 - (-11 + 11))?
0
-7 - (7 + (-9 - (3 + -5)))
-7
14 + -8 - ((-3 - -2) + 0)
7
What is the value of 1 - ((-5 - -1) + 1)?
4
-5 + 7 + -11 + -1 + 10
0
What is -3 - (-1 - -4 - (-17 - -18))?
-5
(1 - -1) + (-3 - (6 + -10))
3
Evaluate (0 - -6) + 46 + -49.
3
What is the value of 9 - 1 - (2 - 0)?
6
What is -3 + -3 + 8 + -4?
-2
Calculate (29 - 1) + -10 + -14.
4
(1 - 0) + (3 - (-6 - -6))
4
What is the value of (
|
{
"pile_set_name": "DM Mathematics"
}
|
f x(f)?
7
Let w(f) = 7*f + f - 3 - 6*f. What is the units digit of w(3)?
3
Let a = 0 + 0. What is the units digit of (3 - -9)*(2 + a)?
4
Suppose -h = -5*p - 20, 3*p - 1 + 5 = -h. Let i be 4*(h/2)/(-5). What is the units digit of (-6)/(i - (-12)/9)?
9
Let m(c) = c**3 - 5*c**2 - 3. Let v be m(5). What is the units digit of v + 3 + -3 - -22?
9
Let c = 74 + -33. What is the units digit of c?
1
Let x(y) = -y**3 + 10*y**2 - 9*y + 5. Let p be x(9). Let h = p + -3. Suppose 2*i = -2, 0*d = h*d + 2*i. What is the units digit of d?
1
Suppose 42 + 10 = 4*r. Let a be ((-18)/4*2)/(-1). Let w = r - a. What is the units digit of w?
4
Let z = -12 - -8. What is the tens digit of z*1*119/(-28)?
1
Suppose b - 58 - 29 = -2*w, 2*w + 5*b = 91. Suppose 2*d + 8 - 20 = -4*t, 0 = 5*d - 3*t - w. What is the units digit of d?
8
Suppose 2*v + 0*v + 5*b - 1 = 0, 0 = v + 4*b + 1. Let s(y) = y**2 - 3*y + 2. Let k be s(2). Suppose -v*j + 6 = -k*j. What is the units digit of j?
2
Let c(k) = -4*k**3 - 23*k**2 - 12*k + 10. What is the units digit of c(-7)?
9
Let i(q) = -3*q - 10. Let n be i(-7). Let a be (-5 + 1)*(-10)/8. Let l = a + n. What is the tens digit of l?
1
Let a = -1 + 10. What is the units digit of a?
9
Let w be (-4)/(-10) + 36/10. Let h = w + -2. Suppose 0 = -h*d - 2*d + 32. What is the units digit of d?
8
Let d(u) = -u**3 + 13*u**2 + 2*u + 12. What is the tens digit of d(13)?
3
Let y(x) = -x + 4*x**3 - 17 - 3*x**3 - x**2 + 31. What is the units digit of y(0)?
4
Suppose -7*k - 2 = -3*s - 2*k, -2*s - 5*k + 18 = 0. Suppose -85 - 19 = -s*o. What is the units digit of o?
6
Let f(g) be the second derivative of g**4/6 + g**3/2 - 3*g**2/2 + 2*g. What is the tens digit of f(2)?
1
Suppose 0*v - 36 = -9*v. Suppose 0*n + 6 = 3*n. What is the units digit of 124/8 + n/v?
6
Let a be (18/15)/(4/10). Let u(h) = -a - h + 2 + 2. What is the units digit of u(-7)?
8
Let p be -11 + 3 + (-1 - -1). Let a = -5 - p. Suppose 0 = -a*m + m + 2. What is the units digit of m?
1
Let w be 2 + (1 - 2 - -2). Suppose 2*c - w*c = -4*i - 16, -5*c + 143 = i. What is the units digit of c?
8
Suppose 4 - 2 = u. What is the units digit of u?
2
What is the units digit of (-326)/4*(-30 - -28)?
3
Let q(h) = h - 3. Let f be q(4). Let s(b) = -7*b**2 + 6*b + 4. Let c(w) = w**2 + w + 1. Let p(r) = 5*c(r) - s(r). What is the units digit of p(f)?
2
Suppose -2*f + 233 = -47. What is the tens digit of f?
4
Suppose -62 - 19 = -3*s. What is the tens digit of s?
2
Suppose -z - 3*f - 7 = 0, 6*f = -4*z + 4*f + 22. Suppose -3*k + 13 = 4*h, 0 = -z*h + 3*h - 5*k + 20. What is the units digit of h?
1
Let w(u) = u**2 + 3*u - 3. Let y be w(-5). Suppose 5*r - 38 = y. What is the units digit of r?
9
What is the units digit of 3*12*30/27?
0
Let s be -18*((-27)/6 + 1). Let k = s + -43. What is the units digit of k?
0
Let z(g) = -g + 3 - 3 + 14 - 2. What is the tens digit of z(-10)?
2
Let m(v) = -v**3 - 8*v**2 + 2*v + 6. Let g be m(-8). What is the units digit of (0 + 5)*(-16)/g?
8
Let n = -8 - -13. Let y be (-2)/7 + 576/56. Suppose w + y = 3*w + s, n*w - s - 11 = 0. What is the units digit of w?
3
Let v = -20 - -23. What is the units digit of ((-8)/v)/(6/(-9))?
4
Let z(g) = -g + 12. Let a be z(9). Let s = a - -18. What is the units digit of s?
1
Let n = -8 + 5. Let b = -29 - -27. Let s = b - n. What is the units digit of s?
1
Let u be (2 - -10)*(-2)/3. Let c = -1 - u. What is the units digit of c?
7
Suppose -5*v + 640 = -3*y, -4*y + 24 = -v + 169. Suppose 3*w - 52 = -n + 23, v = 5*w + n. Let s = w + -5. What is the units digit of s?
0
Let v = 3 + 120. What is the units digit of v?
3
Suppose 6 = 3*d - 0*d. Let a(g) = 3*g - d - 12 + 2*g + 5. What is the tens digit of a(6)?
2
Let m(p) = 3*p - 2. Let y(l) = l**2 + 14*l - 10. Let b(s) = -11*m(s) + 2*y(s). What is the units digit of b(3)?
5
Suppose 4*m - 99 = 3*s, 2*m - s - 25 = m. Suppose 2*o = p - m, -11 - 5 = 2*o + p. Let j = o - -19. What is the units digit of j?
9
Let l = -9 - -1. Let u be l/3*(-15)/4. Let w = u + -6. What is the units digit of w?
4
Suppose 0 = -30*m + 35*m - 470. What is the tens digit of m?
9
Let z = -18 - -49. What is the tens digit of z?
3
Suppose 4 = n - 3*n. Let u be -1*(4*2)/n. Let y(b) = b**2 - 3*b + 2. What is the units digit of y(u)?
6
What is the units digit of 186/12 + (-1)/(-2)?
6
Let y = 74 + -29. Suppose 3*d + 0*d = y. What is the tens digit of d?
1
Suppose -6 = -b - 2, -63 = -5*x - 2*b. Let h be 1/((-2)/(-6))*x. What is the units digit of (-1)/3*(3 - h)?
0
Let v = 16 - 6. What is the tens digit of v?
1
Let p = -22 - -16. Let t be 28/(-6)*45/
|
{
"pile_set_name": "DM Mathematics"
}
|
aces.
-0.00004
Suppose -2*b - b - 3 = 0, 0 = -2*f + 4*b + 14. Suppose -f*n - 4*v = -3*v - 724, 708 = 5*n - 3*v. What is n rounded to the nearest 10?
140
Let s = -1 + 1. Let c(d) = -13627*d + 3. Let z be c(-1). Suppose s = p - z + 3530. What is p rounded to the nearest one thousand?
10000
Let j = 78 - 78.00159. What is j rounded to four dps?
-0.0016
Let q(u) = 60*u**3 + u**2 + u. Let y be q(-1). Round y to the nearest 10.
-60
Let x = 6 + -6.3. Let q = -0.2 + x. Let b = q - -0.5009. Round b to 3 dps.
0.001
Let q = -6 + 6.0034. Round q to three dps.
0.003
Let i(f) = 34175*f**2 + f - 1. Let p = 7 + -6. Let g be i(p). Let x = -50575 + g. What is x rounded to the nearest one thousand?
-16000
Let i = -3 + 2.99973. Round i to 4 decimal places.
-0.0003
Suppose 69*q - 70*q = -279. What is q rounded to the nearest ten?
280
Let m = -0.16999939 - -0.17. What is m rounded to seven decimal places?
0.0000006
Let k = 40726915.3 + -40726917.53000159. Let h = k + 2.23. Round h to 7 dps.
-0.0000016
Suppose 5*t + 6882 = 1382. What is t rounded to the nearest one hundred?
-1100
Let n be (-5)/(15/18) - -1080006. Round n to the nearest one hundred thousand.
1100000
Let k(y) = 6*y**3 + y - 1. Let v be k(2). Round v to the nearest 10.
50
Let q be 966/(-24) + ((-2)/(-8))/1. What is q rounded to the nearest integer?
-40
Let w = 2.39 - 7.84. Round w to 0 decimal places.
-5
Suppose -2*u - 16 = -6. Let x be (-600)/(-9)*6/u. Let v = 11 + x. What is v rounded to the nearest ten?
-70
Let i = 5 - 22. Let o = -16.14 - i. What is o rounded to 1 dp?
0.9
Let u = 0.229 + 1.281. What is u rounded to 1 decimal place?
1.5
Let g = 0.29542193 - 0.02017663. Let b = -14.7246647 - g. Let c = b - -15. Round c to four decimal places.
0.0001
Suppose 0 = 5*i - 22671085 + 1351800. Let y = -14463857 + i. Round y to the nearest 1000000.
-10000000
Let r = 26.1 - 26.09999733. Round r to 7 dps.
0.0000027
Let i = -1230 + 1230.000000739. What is i rounded to 7 decimal places?
0.0000007
Let s = 3 + -1. Let c = s + -1.99992. Round c to four decimal places.
0.0001
Let z = 8 + 4. Suppose 4*h - z = i - 2*i, i + 2 = 3*h. Suppose 0 = -3*q - 15, -461 = -3*r - h*q + 1359. What is r rounded to the nearest 100?
600
Let d = -0.58 + -0.02. Let a = 6.6 + d. Let q = -5.56 + a. What is q rounded to 1 dp?
0.4
Let x = -241495 - -240672.472. Let y = x + 746.52839. Let d = -76 - y. What is d rounded to 4 decimal places?
-0.0004
Let v = -0.09925 - -0.1. Round v to 4 dps.
0.0008
Let s = 35.55 - 183.45. Let v = 154 + s. What is v rounded to 0 dps?
6
Let q = 5 + -3. Suppose q*s - 4 = -0. Suppose 12 = 3*c, -s*c = -2*g + 1384 + 188. What is g rounded to the nearest 100?
800
Let f = -8.613 - -0.013. Let v = f + -0.4. Let s = v - -9.00000081. Round s to seven dps.
0.0000008
Let v = 4.38 - -0.22. Let d = v + -4.5828. Round d to three decimal places.
0.017
Let g = -1.26206 + 1.212. Let c = g + 0.05. What is c rounded to five dps?
-0.00006
Let w = 1.08 + -1.1. What is w rounded to two dps?
-0.02
Let x(g) be the second derivative of -1276*g**4 + g**3/6 + 2*g. Let c be x(2). Let m = -20246 - c. Round m to the nearest 10000.
40000
Let l = -34.99999975 + 35. What is l rounded to 7 decimal places?
0.0000003
Let i = 17543568.2000028 + -17543597.2. Let o = 29 + i. Round o to 6 decimal places.
0.000003
Let p = -2.98 - 4.18. Let o = p + 7.60097. Let a = -0.44 + o. Round a to 4 dps.
0.001
Let o = 19 - 19.0000128. What is o rounded to 6 decimal places?
-0.000013
Let x = 181 - 180.837. What is x rounded to two dps?
0.16
Let m = -4640756.99979 - -4640787. Let h = -43 - -13. Let b = h + m. Round b to 4 decimal places.
0.0002
Let f = -7938.7 - -959.7. Let j = f - -6979.2989. Let d = j + -0.3. What is d rounded to three decimal places?
-0.001
Let j = -4.58 - -3.9. Let s = -133.32 + j. Let u = -135.07 - s. What is u rounded to one decimal place?
-1.1
Let c = 2.7 + -14.7. Let z = -29 - c. Let y = -17.058 - z. What is y rounded to two dps?
-0.06
Let h(n) be the second derivative of -64999*n**3/3 - 4*n**2 + 7*n. Let m be h(4). Round m to the nearest 100000.
-500000
Let l = -0.352 - -0.191. Round l to two decimal places.
-0.16
Let k = -239.00123 + 239. What is k rounded to four dps?
-0.0012
Let f = -14901.8 + 14906.800008. Let d = f - 5. What is d rounded to 6 dps?
0.000008
Let d = -66 + 42. Let s = -5768346.33 - -5768322.3299977. Let y = s - d. What is y rounded to six dps?
-0.000002
Let z = -0.137 - -0.14. Let j = z + 6.197. What is j rounded to the nearest integer?
6
Let u = -35.00000081 - -35. What is u rounded to 7 decimal places?
-0.0000008
Let i = 97296.61597160742 - 0.22640160742. Let s = i - 97297. Let q = s - -0.61. Round q to 4 dps.
-0.0004
Let a = 1259 + -1160.1. Let j = a + -93. Round j to zero decimal places.
6
Let t(s) = -s**2 - 10*s - 4. Let d be t(-9). Suppose -d*j - 9175 = -4*b, 2*j - j - 9205 = -4*b. What is b rounded to the nearest 1000?
2000
Let k = -0.11 - -0.06. Let c = 1
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4*m**3 + 0*m**3 + (m**3 + 3*m - 3*m)*(-2 + 2 - 2) - 4 + 4 - 2*m**3.
13*m**3 + 3
Expand (2*i**3 - i**3 - 2*i**3)*(-6*i**2 - 3*i + 3*i) - 3*i**5 + i**5 + i**5 + (0 + 2*i + 0)*(0*i + i**4 + 0*i).
7*i**5
Expand (-6*v + 3*v + 2*v)*(3 - 3 - v**2) + (42 - 42 + 389*v**2)*(-v - 1 + 1).
-388*v**3
Expand (2 - 2 - 3*c)*(3338 - 3350 + 3*c - 4*c)*(-2*c**2 + 0*c**2 + 4*c**2).
6*c**4 + 72*c**3
Expand (6885*u**2 - 13769*u**2 + 2*u + 152 + 6886*u**2)*(5*u**2 + 3*u**3 - 5*u**2).
6*u**5 + 6*u**4 + 456*u**3
Expand (-1 + 5 - 6)*(-3 + 1 + 1)*(5*h**2 + h - h) - 190 + 190 - 219*h**2.
-209*h**2
Expand (-1 + 5 - 2)*(3*q**2 - 3*q**2 + 2*q**3) - 1 + q**3 + 1 - 56687 + 5*q**3 + 5*q**3 + 56688.
15*q**3 + 1
Expand (-26 + 6 + 12)*(-5*w - w + 3*w)*(6*w - 3*w - w) + (w**2 - 2*w + 2*w)*(-1 - 4 + 3).
46*w**2
Expand (-61*d + 3 + d**3 + 61*d)*((1 - 1 - 2*d)*(-2 - 1 + 1) + (3 - 1 + 0)*(77*d + 87*d - 145*d)).
42*d**4 + 126*d
Expand (8 - 1 + 2425*i - 2445*i)*(-3*i + 3*i + 3*i).
-60*i**2 + 21*i
Expand (x + 2*x - x)*(17*x + 15*x + 5*x)*(-4*x + 8*x - x).
222*x**3
Expand -64*f**2 + 105 - 105 - f**2 + 2*f**2 - 5*f**2 + (2*f + 0 + 0)*(f - 3*f + 3*f) + 2*f**2 - 5*f**2 + 4*f**2.
-65*f**2
Expand (-c + c**3 + 184*c**2 - 373*c**2 + 195*c**2)*(-8*c - 14 + 14).
-8*c**4 - 48*c**3 + 8*c**2
Expand (-2*l + 0*l + 6*l)*(16*l + 33 - 33)*(-3 - 1 + 6)*((-3 + 3 + 2)*(0*l - 2*l + l) + 0*l - l - 3*l).
-768*l**3
Expand (1 + 4 - 6)*(0*k - k + 0*k + 2 - 2 - 2*k + (-4*k + 6*k - k)*(-2 + 3 - 3) + (24*k + 9 - 9)*(3 + 0 - 1))*(2 + 1 - 4).
43*k
Expand (-2 - 1 + 4)*(-74*y**2 - 22*y**2 - 11*y**2) - 2*y**2 - 3*y**2 + 3*y**2 + 0*y**2 + 2*y**2 + 0*y**2.
-107*y**2
Expand (8186*g - 4096*g - 4092*g + 68)*(-g - g + 0*g)*(-1 - 2 + 1).
-8*g**2 + 272*g
Expand (2*x**2 - 4*x**2 + 0*x**2)*(-129 + 242 - 113 + 2236*x).
-4472*x**3
Expand (3 - 3 + 7 + 2*d)*(1 - 9 + 2 - d).
-2*d**2 - 19*d - 42
Expand (-3*w + 86 + 2*w + 0*w)*(24*w**2 - 5*w**2 - 3*w**2).
-16*w**3 + 1376*w**2
Expand 2*b - 2*b**3 - 1 + 1 + 162*b**3 - 37*b**3 + 97*b**3 + (-b**2 - 2*b + 2*b)*(2 - 2 - 2*b) + 2*b**3 - 3*b**3 - 2*b**3.
219*b**3 + 2*b
Expand (2*x**4 - 3*x**4 + 2*x**4)*(5 - 2 - 2)*(3*x + 0*x - x + (4*x - 6*x + 3*x)*(-4 - 1 + 2)).
-x**5
Expand (3*t**3 + t**2 + 2*t**2 - 13 + 12)*(-47*t**2 + 74 - 74).
-141*t**5 - 141*t**4 + 47*t**2
Expand (-14356 - 293*q + 14356)*(1 + 1 - 1)*(-5 + 2 + 2).
293*q
Expand (-112*k - 43*k - 64*k)*(k + 2*k + 0*k).
-657*k**2
Expand (-2 + 14 + 6)*(-5*i + i + 2*i)*(0 + 4 + 19).
-828*i
Expand (-99 + 99 + 5*d)*(3*d**3 + 2*d**4 - 3*d**3) + 4*d**2 - 4*d**2 - 3*d**5 + (-d + d - 2*d**2)*(-d**3 - 1 + 1).
9*d**5
Expand (2*u - 3*u + 0*u)*(2 - 1 + 0) + 3*u - 3*u - u + u + 12*u + 5*u + 3*u - 2*u - 2*u.
15*u
Expand (c**2 + 3*c**4 - c**2)*(-108 + 10 + 15 - 162).
-735*c**4
Expand (5 - 5 - 2)*(-8*b - 4*b - 2*b)*(-3*b**2 - b**2 + 10*b**2).
168*b**3
Expand ((-x - x + 3*x)*(x - 2 + 2) + 18 + 25*x**2 - 18)*(-16*x - 16*x + 13*x).
-494*x**3
Expand (-5 + 2 + 2)*(-18*q**2 + 0*q**2 - 20*q**2)*(1 - 4*q - 1).
-152*q**3
Expand (-42 + 29 - 29)*(-5*j**2 + 20 - 20)*(3*j**2 - 4*j**2 - j**2).
-420*j**4
Expand 3 - 2*h - 3 + (-4*h + 2*h + h)*(-2 + 1 + 6) + 22 - 22 - 12*h.
-19*h
Expand (-10 + 4 + 1)*(3*c**4 - 3*c**4 - 3*c**5).
15*c**5
Expand (0 + 2*c + 3 - 6)*(-193*c**3 - 189*c**3 + 249*c**3) + c**4 - 6*c**4 + 3*c**4.
-268*c**4 + 399*c**3
Expand (2 - 2 - a)*(0*a - 5*a + 4*a)*(-2 - 1 + 5).
2*a**2
Expand (10*h**2 + 9*h**2 + 2*h**2)*(-h + h - h + (-2 + 1 + 2)*(-4*h + h + 5*h) + 2*h - 5*h + h).
-21*h**3
Expand -2*u**2 + 2*u**2 - u**2 + (3 + 2 - 7)*(2*u**2 - 4*u**2 - 12*u**2) - 3*u**2 + 0*u**2 + u**2 + 6 - 6 - 2*u**2.
23*u**2
Expand (18*c**2 - 36*c**2 - 9
|
{
"pile_set_name": "DM Mathematics"
}
|
08*g = -4206*g + 14 for g.
-7
Solve 200*a + 29 = 203*a - 7 for a.
12
Solve 450 = -132*s + 537 + 837 for s.
7
Solve -2301 - 10043 + 2009 = 265*s for s.
-39
Solve 2080 = -1648*z + 1808*z for z.
13
Solve 0 = 44*d - 159*d - 194 - 266 for d.
-4
Solve 2 = -n - 8 - 6 for n.
-16
Solve 7*s + 79*s = -37*s - 4428 for s.
-36
Solve 38044 - 40960 = -108*x for x.
27
Solve 78*m - 3335 = -125*m + 58*m for m.
23
Solve 230*r - 942 + 252 = 0 for r.
3
Solve 1530 - 846 = 36*q for q.
19
Solve 597*y + 2903 + 1792 + 4857 = 0 for y.
-16
Solve -6380 = -298*a + 78*a for a.
29
Solve 184*f - 869 - 419 = 0 for f.
7
Solve -112038*b - 779 = -111997*b for b.
-19
Solve -1216*y = -1213*y + 21 for y.
-7
Solve 0 = 3*n + 3598 - 1697 - 1787 for n.
-38
Solve 8*x - 36 + 16 = -60 for x.
-5
Solve 16*z + 134 - 598 = 0 for z.
29
Solve 16*k + 140 - 268 = 0 for k.
8
Solve 5*g - 31 = -38*g - 74 for g.
-1
Solve -7*m = -3*m - 9*m + 40 for m.
8
Solve 0 = 22*d - 299 + 409 for d.
-5
Solve 977*k + 6349 = 383*k - 1967 for k.
-14
Solve -261*h = -81*h + 108*h - 2016 for h.
7
Solve 195*j = 117*j + 126*j - 672 for j.
14
Solve 6*r + 397 = 150*r - 1187 for r.
11
Solve 15*z = 9*z - 16*z + 22 for z.
1
Solve 0 = 16*d - 1824 + 2016 for d.
-12
Solve 392 = -59*n - 537 - 192 for n.
-19
Solve 0 = -79*w - 132 + 211 for w.
1
Solve 239*q = 282*q + 172 for q.
-4
Solve 2599 = 51*x + 23*x + 2895 for x.
-4
Solve 0*i + 13*i + 492 = -69*i for i.
-6
Solve -23*x + 363 + 432 = 197 for x.
26
Solve -164*c = -137*c - 81 for c.
3
Solve -13*d - 160*d + 223 = 1953 for d.
-10
Solve -3201 = 434*w + 2007 for w.
-12
Solve 90 = -26*z + 129*z - 1455 for z.
15
Solve 2055 + 1785 = -384*c for c.
-10
Solve 42*i + 504 = -710 + 248 for i.
-23
Solve -329*c + 272*c = -741 for c.
13
Solve -4*u + 301 = 325 for u.
-6
Solve 504*v - 69*v = 2670 - 12240 for v.
-22
Solve 250 = -9666*n + 9641*n for n.
-10
Solve 62153*y - 62175*y = 264 for y.
-12
Solve -32*i - 24*i - 176 = -34*i for i.
-8
Solve 34*j + 24*j = 35*j - 483 for j.
-21
Solve -297 = 162*c - 621 for c.
2
Solve 0 = -22*s + 147*s + 1625 for s.
-13
Solve -6*r - 10*r + 2*r + 42 = 0 for r.
3
Solve 273*r = 69*r - 1632 for r.
-8
Solve 98*w - 46*w - 216 = 34*w for w.
12
Solve -1262 + 272 = -13*d - 32*d for d.
22
Solve 0 - 203 = -23*c - 42 for c.
7
Solve 91*k + 131 = -29*k - 2269 for k.
-20
Solve -48 = -26*p + 447 + 233 for p.
28
Solve 272*v = 299*v - 216 for v.
8
Solve -6 - 170 = -12*u - 10*u for u.
8
Solve 98*y + 121*y - 254*y - 350 = 0 for y.
-10
Solve -108*s - 680 = -40*s for s.
-10
Solve 28*j = -725 + 837 for j.
4
Solve -8*w - 191 = -199 for w.
1
Solve -5*i = -78*i - 15*i - 528 for i.
-6
Solve 21*d + 24*d - 54*d = 135 for d.
-15
Solve -359*i = -253 - 8722 for i.
25
Solve 95*b + 291 + 754 = 0 for b.
-11
Solve -47 + 368 = 66*q - 999 for q.
20
Solve -10*o + 36*o - 600 = -24*o for o.
12
Solve 29*s = 66*s + 296 for s.
-8
Solve 1012*f - 986*f = 442 for f.
17
Solve -3022 = 424*h + 2490 for h.
-13
Solve 460*p = -6034 - 1326 for p.
-16
Solve -741*l - 16869 - 15309 = -6243 for l.
-35
Solve -102*a - 5*a + 25 = -403 for a.
4
Solve -9*t = 22*t - 159 + 128 for t.
1
Solve 590*z - 962 = 1151*z - 598*z for z.
26
Solve 0 = -23*j - 163 + 439 for j.
12
Solve -206 = 75*q + 469 for q.
-9
Solve 54*p - 1 - 123 + 70 = 0 for p.
1
Solve 1497*u = 732*u + 748*u + 391 for u.
23
Solve 271*c + 42 = 292*c for c.
2
Solve 0 = 59*g - 19 - 335 for g.
6
Solve -4958 + 5362 = -101*i for i.
-4
Solve -111*t - 1434*t = -53693 - 1927 for t.
36
Solve -190 = -3*f - 9*f + 26 for f.
18
Solve -124 + 46 + 34 = -2*h for h.
22
Solve -350 = 28*l - 462 for l.
4
Solve -48*d + 151*d + 618 = 0 for d.
-6
Solve -28031*p + 28030*p + 2 = 0 for p.
2
Solve 0 = -13*h + 13947 - 13713 for h.
18
Solve -30*j + 531 = -47*j - 42*j for j.
-9
Solve 58*x = -95*x - 16*x + 2028 for x.
12
Solve 44*d = 346*d + 4614 - 84 for d.
-15
Solve 37*m + 49 + 4 = 90*m for m.
1
Solve -56*a = -41 + 489 for a.
-8
Solve 285*q + 5459 - 1754 = 0 for q.
-13
Solve -24*j + 138 = 9*j + 13*j for j.
3
Solve 15*c + 99 = -6 for c.
-7
Solve -14*s - 47*s = 6*s - 12*s for s.
0
Solve -88*r + 68 - 596 = 0 for r.
-6
Solve -4*a - 322 = -286 for a.
-9
Solve 16*r - 348 = 27*r + 18*r for r.
-12
Solve -251*q = 204*q - 2730 for q.
6
Solve -34*y + 343 + 45 = 48 for y.
10
Solve 294 - 26 = -293*l + 1440 for l
|
{
"pile_set_name": "DM Mathematics"
}
|
4, 2*d + 8 = -2*d - 4*m. Let j = d + 5. Solve 5*u + 15 = -5*b, j*b - 3*u - 14 = 6*b for b.
-5
Let o(x) = -6 + x**2 - x + 2 + 9. Let q be o(0). Solve 2*g + q*r = -30, 3*g - r + 3 + 8 = 0 for g.
-5
Suppose 0*z - 13 = -z. Suppose -4*l - c = -z - 3, 5*c + 15 = -l. Solve 4*v - 2*o = -l*o - 11, 2*o + 9 = -3*v for v.
-5
Suppose 2*z - 2*x = 4, -z + 6*z - 3*x - 12 = 0. Solve z*a + 2*a = 3*c + 14, -4*c - 9 = 3*a for a.
1
Let v be (4/6)/(14/63). Suppose -79 + 31 = -v*h. Solve 0 = -3*c + t - 13 - 2, h = -c + 4*t for c.
-4
Let t(j) = j**2 + 8*j + 5. Let n be t(-8). Let c = -2 + n. Suppose 9 - 3 = c*z. Solve -z*r + 8 = -4*u, -5*u + 0 = -5*r + 10 for r.
0
Let w(c) = -c + 1. Let d be w(-8). Suppose 2*s - d = -s. Suppose 0*u + 3*m = -2*u, -m + 7 = s*u. Solve t + 6 - 16 = -u*a, 2*a = -5*t + 24 for a.
2
Let s = -4 + 15. Solve -t + 2*j = 5, -2*t = 4*j - s - 3 for t.
1
Let q(a) = 5 + 0 + a - 5. Let z be q(5). Let i = 0 + z. Solve 0 = 5*t - 3*b - 2 - 0, t - i*b = -4 for t.
1
Let f = 4 - 2. Suppose -2*l - 5*h = -10, 3*l - h - 6 = -4*h. Suppose -f*x - x = -5*m + 80, l = -4*m - 2*x + 64. Solve 2*n = 4*k - 0 - m, -k + 18 = -4*n for n.
-4
Suppose -2*f + 2 = 3*a, f - 14 = -3*f - a. Suppose f*g = 2*g - 8. Let v be (-8)/(-5) + g/(-10). Solve 0 = -2*t - 0*s + 3*s - v, -t = s - 9 for t.
5
Let g(q) = q**3 - 4*q**2 + 2. Let n be g(4). Solve 4*b - n = -0*b - 2*u, 4*b + 5*u - 17 = 0 for b.
-2
Let y be 250/(-6) + 4/6. Let l = y - -58. Let h be 2/(-6)*(1 - 1). Solve o - 2 - 15 = 4*z, h = 4*o + z + l for o.
-3
Suppose -5*o + 13 + 47 = 0. Let f be o + 2 + -3 + -1. Solve -s + 5*c = 4, -c - f = 5*s + 10 for s.
-4
Let v(y) = -y**3 + y**2 + y - 2. Let z = -17 - -15. Let n be v(z). Let u = -2 - -6. Solve -n*p + 4*p + 2*i = 6, -u*p + 15 = 5*i for p.
0
Suppose 0 = n + 4, -q + 4*n + 35 = -0*n. Solve 3*z - 5*y = -q, z - 5*y - 5 = -28 for z.
2
Suppose 0 = b - 2*p + 5 - 3, b = 4*p - 6. Let h be (-1 - (b - 1)) + 7. Let z = 1 - -3. Solve 2*c = -4*m - c - h, -z*m - 2*c = 2 for m.
1
Suppose 4*w - 14 = -b - 2*b, 0 = 4*b - 2*w - 48. Suppose -5*i = -b*i. Solve i = 5*n - a - 4*a + 15, -2*n + a = 6 for n.
-3
Let k be (-4)/(-26) - 6/39. Suppose -5*j + 5*g - 60 = k, 2*j + 10 + 10 = g. Let y be j/(-4)*(-6)/(-4). Solve 2*b - 22 = -5*c - 7, 2*b + y*c = 5 for b.
-5
Suppose 0 = -2*g + 10, -3*g + 6*g = -5*u + 45. Let x be 62/u - (-4)/6. Suppose -4*p = -x - 9. Solve -p*a = -5, 2*d = -8*a + 3*a + 13 for d.
4
Let s = 2 - -7. Suppose 0 = d + s - 11. Solve 2*f - 8 = 2*t, -4*f = -d*f + 5*t - 15 for f.
5
Let l(z) = -z**3 + 5*z**2 - 5*z + 2. Let r be l(4). Let t = r + 2. Let h be 3*(6 + 25/(-5)). Solve 2*a - 10 = -5*w - 3*a, t = -5*w + h*a + 2 for w.
1
Let b(h) = -h**3 - 2*h**2 - 2*h - 3. Let x be b(-3). Solve 3*v = 2*u - x, -1 = -4*u - v - 5 for u.
0
Let l be -4 + 2 - (2 + -7). Solve i = 2*i - 5*f - 28, 0 = 5*i - l*f - 30 for i.
3
Let g = 23 - 14. Let i = 31 + -47. Let x = -16 - i. Solve 3*d + r + 6 = -g, x = 4*d - 5*r + 20 for d.
-5
Let w = 5 - -1. Let i be (16/w)/(1/6). Suppose 3*j - 2*d = 58, -3*d - i = -2*j + 21. Solve 0 = 3*g + 4*q + 12, -4*g - j = g + 2*q for g.
-4
Let a = 1 + -6. Let f = a - -7. Suppose 4*u - f*l - 6 = -4*l, -4*l = -3*u + 21. Solve -u*i + 0*i - 16 = j, -6 = i + j for i.
-5
Let s = -2 - -14. Solve s = 2*a + 3*i, a - 3*i - 9 = -4*a for a.
3
Suppose 2*m - 18 = -5*q, 4*q = -q + 3*m - 2. Suppose -q*i = -4*i + 16. Solve -3*k = -3*f - 15, -k - 4*f - i = k for k.
2
Let y(v) = v + 18. Let f be y(-13). Solve -f*s = -3*z + 5, -4*s - z = 4*z - 33 for s.
2
Suppose -3*r + 6*r = 0. Suppose -4 = -b - r. Solve g - 3*j - j - 4 = 0, g - b = -4*j for g.
4
Let v = -128 + 131. Solve 4*y + v*s = -s + 28, 3*s = -5*y + 29 for y.
4
Let v = -7 + 8. Let d be (3 - 1) + 2 + v. Solve 0 = 5*x + f - 30, -x - d*f = -21 - 9 for x.
5
Suppose 5*g - 2*g = 48. Let t be -4*(3 + -2)*1. Let u = g + t. Solve -h = -5*b
|
{
"pile_set_name": "DM Mathematics"
}
|
1
Which is smaller: -2/211 or 27/49?
-2/211
Is -1 at most -1/93485557?
True
Is 54 less than 99246/1837?
True
Is 2/136893035 less than 1?
True
Which is smaller: -3209191 or -3209193?
-3209193
Which is smaller: -683 or -15154?
-15154
Is -28668 greater than 283?
False
Is 3310127 greater than 3310228?
False
Are 0 and 108250210 unequal?
True
Which is smaller: -1 or -5/53626837?
-1
Which is bigger: -539372 or -539359?
-539359
Do -30323 and -9906 have different values?
True
Are 905664 and 905782 nonequal?
True
Which is greater: 1155 or 68115/59?
1155
Which is bigger: 1025175 or 1025186?
1025186
Is -463/53461 > 0?
False
Is -3982/6863 less than or equal to -1?
False
Is 0.2 at most 1247107?
True
Which is bigger: -0.3 or -31922100?
-0.3
Which is smaller: 6219 or -1189?
-1189
Is -1790143 at most 27?
True
Which is smaller: 1 or -1/107107177?
-1/107107177
Is -3819685 >= -3819659?
False
Do 6128728 and 6128663 have different values?
True
Which is greater: -517/116 or -4?
-4
Is 1209158 less than -1?
False
Are 3/4 and 72.990066 non-equal?
True
Which is smaller: 207993 or 209289?
207993
Is 2/9 equal to -0.3056738?
False
Which is smaller: 1 or 1143/52882?
1143/52882
Is 104370000 >= 104370000?
True
Are -935 and -89.3 unequal?
True
Which is greater: -29.1 or -12630?
-29.1
Are 11198832 and 11198831 non-equal?
True
Which is smaller: 16032693 or 17?
17
Which is bigger: -2447401 or -51395425/21?
-2447401
Which is bigger: 41 or -3/576617?
41
Is -941553460 smaller than -941553462?
False
Which is bigger: -0.41 or 0.1266749?
0.1266749
Is -538.8219 greater than 33?
False
Which is smaller: 0 or 4327/16821?
0
Which is bigger: 3976109/28 or 142005?
142005
Is -215/48486 > 0?
False
Does -126741 = -126673?
False
Which is bigger: -17729.47 or -63?
-63
Is 8974/393339 >= -1?
True
Is -18389202/11 at most -1671746?
False
Are -349287 and -349280 equal?
False
Is 2358 <= 1896?
False
Which is smaller: -2391122 or -2391055?
-2391122
Is -1428.6 > -119?
False
Is -302356 less than or equal to -302086?
True
Is 795964092 less than or equal to 795964094?
True
Is 5014 > 1583991/316?
True
Which is smaller: 0 or 771/6005?
0
Which is smaller: 2 or -8258120?
-8258120
Are 9437277 and 66060936/7 unequal?
True
Which is smaller: 1 or -1/202240771?
-1/202240771
Is -5301 > -5364?
True
Are 12556842 and 12556851 nonequal?
True
Is -77/473699 > 0?
False
Is 71874965 <= 359374819/5?
False
Which is bigger: 2 or 0.0098429?
2
Which is greater: 15494789 or -2/15?
15494789
Is 151 at most -854780?
False
Is 1 >= 451/613449?
True
Which is smaller: 21292505 or 85170015/4?
85170015/4
Which is smaller: 1010289 or 7/2?
7/2
Is -179860100 bigger than -179860099?
False
Is -135330/289 not equal to -469?
True
Is -8 not equal to -43868/5185?
True
Is -2377964 < -2377972?
False
Which is greater: -2402/28581 or -1?
-2402/28581
Does 19/5768410 = 1?
False
Which is smaller: -72272 or -72118?
-72272
Which is bigger: 30 or -1/2369435?
30
Which is greater: 8721003 or -1/7?
8721003
Are 0.6706306 and 9 non-equal?
True
Is 2390094 at most 2390092?
False
Is -41076 != -172?
True
Which is bigger: -28758 or -25632?
-25632
Which is bigger: -6716892 or -6716924?
-6716892
Is 5693359 less than 5693387?
True
Which is smaller: 158933 or -5/47?
-5/47
Do 156948570 and 156948568 have the same value?
False
Which is greater: -281161703 or -281161704?
-281161703
Does 0 = -4325/8022?
False
Is -25.67634 != -4?
True
Is -1 greater than or equal to -14/2636507?
False
Are -6637 and -6655 equal?
False
Which is bigger: 324/11 or -3.2898?
324/11
Are 1758791 and 1758721 unequal?
True
Which is smaller: 34858 or -17?
-17
Which is smaller: 3444088 or 3444087?
3444087
Is -82953 <= -83164?
False
Which is bigger: -6/695 or -1616?
-6/695
Which is greater: 2/224495893 or 0?
2/224495893
Which is bigger: -560/104459 or -1?
-560/104459
Is 695610 != 695619?
True
Which is smaller: -3 or 2451/347?
-3
Which is smaller: 10652850 or 10652849?
10652849
Which is bigger: -1 or -8846134?
-1
Which is greater: -161408/29 or -5565?
-5565
Which is smaller: -198978 or -0.093?
-198978
Which is smaller: -1 or -3/24562067?
-1
Which is smaller: 998441/152 or 6569?
998441/152
Is -14650279/4 at most -3662569?
True
Which is smaller: -5994 or -293770/49?
-293770/49
Which is smaller: -125363 or -125359?
-125363
Which is smaller: 0 or -43/1021770?
-43/1021770
Is 1.5039 at least -2/847?
True
Which is greater: 11014/19097 or 1?
1
Which is smaller: -1006639/7 or -143807?
-143807
Which is bigger: -164289 or -164284?
-164284
Is -12565441/8 <= -1570679?
True
Do 2372030 and 16604208/7 have different values?
True
Is -3 less than or equal to -2/448211?
True
Is -2 at least -1.98936279?
False
Which is smaller: -113 or -1643182?
-1643182
Is 7769123 <= 7769122?
False
Is -116558 less than or equal to -2913967/25?
False
Are 7789003 and -0.4 unequal?
True
Is 9/16 greater than or equal to 968446?
False
Which is smaller: -116081 or -116231?
-116231
Which is bigger: 1626 or 1239?
1626
Which is smaller: -711/12269 or -1?
-1
Do -1 and -6390/49283 have the same value?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
, k, q
Let q = 45/14 + -43/14. Put -1/18, q, 0.3 in decreasing order.
0.3, q, -1/18
Let q = -637.7 - -638. Sort 0.1, -3, q, -9.
-9, -3, 0.1, q
Let w be -7 - 64/(-8) - -6. Put -3.4, w, -1/3 in descending order.
w, -1/3, -3.4
Let f = -107 + -43. Let k = 150 + f. Suppose -2*s - p = 3, -5*s - 4*p - 5 = -2. Put s, 3, k in descending order.
3, k, s
Let j = -410 + 414. Put 8, -1/7, j in descending order.
8, j, -1/7
Let n be -3*(-5)/1*(-4)/(-10). Put -7, -5, -2, n in decreasing order.
n, -2, -5, -7
Let y be 6/(-8)*(0 + 10/15). Put 1, 4, 82, y in increasing order.
y, 1, 4, 82
Let t = 3 - 2.91. Let d = t - 0.29. Let u = -9 + 14. Put 0, d, u in decreasing order.
u, 0, d
Suppose -5*n = l - 22, 0 = -l - 0*n - 3*n + 14. Suppose 2*z = 6 + l. Let u be (96/(-392))/(4/14). Put -1, z, u in descending order.
z, u, -1
Let z = 7 + -43. Let y = z - -36.4. Sort -5, 3, y.
-5, y, 3
Let x = -0.0138 + -0.4862. Sort -1, -1/7, 0.1, x.
-1, x, -1/7, 0.1
Let f(u) = u**2 + 10*u - 11. Let z be f(-7). Let r = z - -36. Sort -5, 11, r in decreasing order.
11, r, -5
Let j be 4*(-12 + 360/32). Put 1, 7, j, 21 in ascending order.
j, 1, 7, 21
Let s = -13 - -18. Suppose v = -s*t - 17, t = -4*v - 2*t. Suppose -v = -4*z + 5. Sort -1, z, -4.
-4, -1, z
Let l = -3 + 6. Let y be 0/(-37) - 15/(-3). Put y, 2, l, -3 in descending order.
y, l, 2, -3
Let q = 5 - 3. Let r = 3593 - 3590. Put -10/3, q, 1/2, r in ascending order.
-10/3, 1/2, q, r
Let c(l) = -l**3 - 24*l**2 + 47*l - 132. Let f be c(-26). Sort -4, -3, f, 8 in decreasing order.
8, f, -3, -4
Suppose -83 = -18*g + 97. Sort g, -33, 5 in decreasing order.
g, 5, -33
Suppose 0 = -4*t + 4*m - 7 + 3, -26 = 5*t + 2*m. Sort t, -1.1, -2.
t, -2, -1.1
Let b be (-2)/((48/(-40))/3). Put 2, 1, -2, b in descending order.
b, 2, 1, -2
Let l = 0.2 + 0. Let u = 19.84 + -20.24. Sort l, 1/3, u, 5.
u, l, 1/3, 5
Suppose 0*u + u = -1. Let d(j) = -9*j - 20. Let f be d(-3). Suppose 0 = -2*r, 5*r = -f*q + 2*q. Put u, q, 4 in decreasing order.
4, q, u
Let w = 2151 + -2151.4. Put -31, 1, w, 2 in increasing order.
-31, w, 1, 2
Let l = 108.66 - 107. Let z = l + -0.83. Let c = 0.13 - z. Sort c, 2/7, 0.
c, 0, 2/7
Let z be (1 - 1/2)*-2. Let i = 6 + z. Suppose 4*d + 3*w = 0, -3*d - 40 = -i*w - 11. Put d, -1, -2 in decreasing order.
-1, -2, d
Let a be ((-2)/4)/(1/2). Let s(k) = 2*k + 54. Let x be s(14). Let w = x + -87. Sort -3, a, w.
w, -3, a
Let w = 2.05 + -2. Let u be 28*(-70)/(-200) + -9. Sort -1, w, u.
-1, w, u
Suppose -t - 5 + 2 = 0. Let x = -6 - -1. Sort 1, 0, x, t.
x, t, 0, 1
Let p = -456 - -7760/17. Let h = p - -12/119. Sort h, 4, 1.
h, 1, 4
Let g = -3.2 + 2.6. Let c = -1 - 1. Let m be c + (-1 + -1 - 0). Sort m, g, 2 in descending order.
2, g, m
Let d be 21/(-2)*(-320)/24. Let r be 4/(d/44 + -3). Let i = -17 + r. Put 10, i, 1 in ascending order.
1, i, 10
Let r = 1302 + -1298. Sort r, -5, -6 in decreasing order.
r, -5, -6
Let x(m) = -4*m**2 - 3*m + 2. Let n be x(-3). Let b = n + 22. Sort b, -1, 3, 1 in descending order.
3, 1, -1, b
Let m = 6.795 - -0.105. Let q = -0.9 + m. Let k = -5 + 0. Put -0.1, q, k in descending order.
q, -0.1, k
Let x be (-2 - -3)/1*(8 + -5). Suppose x*i - 8*i = 2*h + 22, 2*i = 3*h - 5. Put 2, -1, i, 0 in decreasing order.
2, 0, -1, i
Let f = 197/160 - -3/160. Let q = 0 - 1. Sort q, -5, f in increasing order.
-5, q, f
Let i = 0.7 - 0.1. Let m = 28 + -28.4. Let w = m + i. Put w, 0.3, 2/11 in decreasing order.
0.3, w, 2/11
Suppose -r = 6*p + 3*p + 40, -5*p = 3*r + 32. Sort -2, p, -7 in increasing order.
-7, p, -2
Suppose -3*b = 5*a - 33, 5*a = 4*a + 5*b + 1. Suppose -l - 15 = -a*l. Sort 5, l, 2/9.
2/9, l, 5
Suppose 19 = -3*r + 7. Let m = 433 - 428. Sort r, 0, 3, m in increasing order.
r, 0, 3, m
Suppose -q + 4*q + 39 = 0. Let y(v) = -v**3 + 7*v**2 + 9*v - 5. Suppose 4*o - 9*o - 40 = -5*i, 0 = 2*o. Let s be y(i). Put s, q, -5 in ascending order.
q, -5, s
Let x = -760 - -765. Put 6/11, 9, x in ascending order.
6/11, x, 9
Let x = 583 + -578. Let z(c) = c**2 - 2*c + 2. Let u be z(2). Sort u, x, 7.
u, x, 7
Let g = -25 + 23. Let n = 6 - g. Let t = 13 - n. Sort 1, t, -6 in descending order.
t, 1, -6
Let k = 6 + 32. Let a be (216/(-28))/((-2)/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
/(sqrt(90)/(sqrt(10) + 2*sqrt(30)/sqrt(3))).
39*sqrt(17)
Simplify (4*3*sqrt(612) - (sqrt(612) + 2 + -3))**2*-4.
-296212 - 528*sqrt(17)
Simplify -4*5*((sqrt(171) + -3*(1*sqrt(171) + sqrt(171)))/sqrt(9) + 5)**2*-2.
-2000*sqrt(19) + 20000
Simplify 2*3*sqrt(34)/(sqrt(2) + sqrt(10)/sqrt(5))*-4*-2.
24*sqrt(17)
Simplify ((sqrt(390)*-3*-3)/sqrt(10))/((sqrt(147)*-1 - sqrt(147) - sqrt(147))*-1).
3*sqrt(13)/7
Simplify (sqrt(343)*-2)**2*-4 + (5*sqrt(7)*-2*-2)**2.
-2688
Simplify ((-4 + 4 + sqrt(2299) + sqrt(2299) + (sqrt(2299) - ((sqrt(2299) - -4*sqrt(2299)) + -2)))*-4)**2.
-1408*sqrt(19) + 147200
Simplify -5 + (sqrt(99)/(sqrt(27)/sqrt(3)*4))**2*-4 + -3.
-43/4
Simplify (sqrt(325)*-1*-1)**2 - (sqrt(52)/sqrt(4) + 4 + -2).
-sqrt(13) + 323
Simplify 2 + (((sqrt(72)/sqrt(2))/sqrt(2) - sqrt(18) - (sqrt(18) + sqrt(18) + sqrt(288)*-6))/(sqrt(27)/(sqrt(3) + sqrt(27)*6)))**2.
349450
Simplify (sqrt(10) - sqrt(40))/sqrt(2) + (2 + -1 + sqrt(5) + sqrt(5))**2 + sqrt(35)/(sqrt(77)/sqrt(44)).
5*sqrt(5) + 21
Simplify (sqrt(200)*2 - (sqrt(1152) + sqrt(1152)*1))/(sqrt(72)/sqrt(2) - sqrt(4) - 1*sqrt(484)).
14*sqrt(2)/9
Simplify -3 + -1*sqrt(468) - (-3 + sqrt(637) + -2).
-13*sqrt(13) + 2
Simplify ((sqrt(187) + ((sqrt(187) + sqrt(187)*-1)*4 - sqrt(187) - sqrt(187)))*-4)/(-5*sqrt(33)/sqrt(3) - sqrt(99)*1)*1.
-sqrt(17)/2
Simplify -5*-3*(3*((sqrt(99) - (sqrt(99)*2 - sqrt(99)))**2 + -4) + 4).
-120
Simplify sqrt(65)/(-1*sqrt(720) - sqrt(720)) + 4 - ((-3*-2*sqrt(65))/(sqrt(10)/(sqrt(6)/sqrt(3))))**2.
-464 - sqrt(13)/24
Simplify ((1*(sqrt(153) + 3*sqrt(153) + sqrt(153)))/sqrt(3))/(((sqrt(2304) - sqrt(36))*3)/sqrt(12)).
5*sqrt(17)/21
Simplify -2*(-5 + (-1*((sqrt(833) - sqrt(17)) + sqrt(17)))**2*2 + -4).
-3314
Simplify (sqrt(13) + sqrt(13) + -4 + 2 + (-1*sqrt(117))/sqrt(9) + -1)*6.
-18 + 6*sqrt(13)
Simplify sqrt(10)/(sqrt(100)/sqrt(2)) - ((sqrt(45) + -1)*-4)**2.
-736 + 481*sqrt(5)/5
Simplify (-5 + -1 + 5 + 0 + sqrt(363) + -2)**2.
-66*sqrt(3) + 372
Simplify 2*(-2 + (-4 + -3*sqrt(245) - (1 + sqrt(245) + -4)))**2.
336*sqrt(5) + 7858
Simplify (-4*(sqrt(13) + -2) - sqrt(13)) + (1*sqrt(1053))**2 + 3 + -4.
-5*sqrt(13) + 1060
Simplify 5*((3 + sqrt(468) + sqrt(468))**2 + (sqrt(26)/sqrt(2)*-5 - sqrt(13)) + 4) + 3.
330*sqrt(13) + 9428
Simplify ((sqrt(408) + sqrt(408)*5)/sqrt(12))/(sqrt(90)/sqrt(5)).
2*sqrt(17)
Simplify -4*1*1*(sqrt(1872) - (sqrt(1872) + 2))*-2.
-16
Simplify 1 + ((((sqrt(187) + sqrt(187)*1)*2)/sqrt(11))**2 - 4*(-1*sqrt(17)*-1)**2).
205
Simplify -1*sqrt(720) - (sqrt(5) + -5*(sqrt(5) + 2 + sqrt(5)) + sqrt(5)) - (sqrt(140)*4)/sqrt(7).
-12*sqrt(5) + 10
Simplify ((sqrt(152) - ((sqrt(152)*1 - sqrt(152)) + sqrt(152)))*5 + sqrt(152)*-2*-5)/((sqrt(192)*3)/sqrt(6)).
5*sqrt(19)/3
Simplify sqrt(35)/(sqrt(30)/sqrt(6))*-6*-6*-2.
-72*sqrt(7)
Simplify ((sqrt(567) + 2*sqrt(567)*-6)*1 + 0)*-2.
198*sqrt(7)
Simplify (sqrt(3) + (sqrt(3) - sqrt(27)) + -3 + sqrt(27)/(-2*sqrt(9)) + (sqrt(300) + 1)*-3)**2.
378*sqrt(3) + 12051/4
Simplify (sqrt(130) + 3*(sqrt(130) + (sqrt(130) - ((sqrt(130)*-2 - sqrt(130)) + sqrt(130) - sqrt(130)) - sqrt(130))) + sqrt(130))/(-1*sqrt(20)/sqrt(2))*3*-3.
126*sqrt(13)
Simplify 3 + (5*(-6*sqrt(12)/sqrt(6) + sqrt(2) - (sqrt(72) + 0)))**2 + 2.
6055
Simplify (5 + -3*sqrt(19)*1)**2 + ((sqrt(19) + (sqrt(1900) - (sqrt(1900) + -2)))**2 - (sqrt(19) + (sqrt(19) + (-1*sqrt(2736) - sqrt(2736)))**2)).
-9832 - 27*sqrt(19)
Simplify (sqrt(228)/(sqrt(300)*1 + sqrt(300)) - sqrt(228)/(2*2*sqrt(12)))**2.
171/400
Simplify (0 + 4*sqrt(2057)*4 + -3 + sqrt(2057)*-2)**2.
-924*sqrt(17) + 403181
Simplify (2*5*sqrt(75)*-1 + 1 + (sqrt(75) - (-1 + -1*sqrt(75))))**2*4.
-640*sqrt(3) + 19216
Simplify (sqrt(68)/(sqrt(2) - sqrt(12)/(2*sqrt(6))))/(sqrt(2) - (sqrt(2) - ((sqrt(2) + -1*sqrt(2))*3 - sqrt(2))) - (sqrt(2) + (sqrt(66)/sqrt(3))/sqrt(11))).
-2*sqrt(17)/3
Simplify 4 + -3*4*(sqrt(684) + sqrt(684) + ((sqrt(684) + -1 + sqrt(684))*1)**2).
-32840 + 144*sqrt(19)
Simplify (4 + -4 + (sqrt(75)*4)**2)*1.
1200
Simplify -2 + 1*sqrt(76)*2 + sqrt(76) + -5.
-7 + 6*sqrt(19)
Simplify (sqrt(11)*-2*-5)**2 + -2 + 1 + (sqrt(275)*-1 - sqrt(275)) + -5.
-10*sqrt(11) + 1094
Simplify ((sqrt(70) + (sqrt(70) - (5*(3*sqrt(70) - sqrt(70) - sqrt(70)) - sqrt(70))))*-4)/(2*sqrt(1440)).
sqrt(7)/3
Simplify (sqrt(448)*4 + sqrt(448))**2*-6 + (sqrt(7) + sqrt(84)/sqrt(3))**2 + 1.
-67136
Simplify (5*(sqrt(65)/sqrt(5) + -5)*1 - (-1*2*sqrt(13) - sqrt(13) - (sqrt(637) + 1))*-3)**2.
1400*sqrt(13) + 8909
Simplify (1
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the difference between 61410.43 and -9.183118?
61419.613118
Subtract -3.0176 from -27.344.
-24.3264
-23587961 + -82267
-23670228
What is the difference between -51221.29 and -3157?
48064.29
Work out -6858 + -2123802073.
-2123808931
Add together 881886028 and -48784.
881837244
Work out -87 - -1.136076846652.
-85.863923153348
What is 10712965548 take away -0.08?
10712965548.08
2005786823 - -339
2005787162
What is -40.2770124 plus 1.165?
-39.1120124
What is 13 minus 4992058591790?
-4992058591777
-53 - -373080817.5187
373080764.5187
What is 678007410.9 less than 0.857?
-678007410.043
What is -0.02 take away 800273689.75903?
-800273689.77903
What is 85516 + -1.159273?
85514.840727
What is the difference between -6.870918746 and 0.05776?
6.928678746
Sum -16948.28519 and 2895.
-14053.28519
45699220674+0.1
45699220674.1
What is the difference between -1883263439709 and -0.56?
1883263439708.44
What is -2.4882 take away 656.1972?
-658.6854
What is the difference between -1053735.8 and 75.8?
1053811.6
What is -4.455536424 - -0.4?
-4.055536424
What is -742.0849 plus -27.714681?
-769.799581
Work out -245342489142866 - 1.
-245342489142867
Add -0.4 and 9158.30815417.
9157.90815417
Sum 2620.4043709 and 15.
2635.4043709
What is the distance between -668265619428 and 394?
668265619822
What is 3788223 minus 0.00206095?
3788222.99793905
Work out -748673681 + -31.
-748673712
What is 31077261571 less than 0.02?
-31077261570.98
Subtract 101099641649.594 from 4.
-101099641645.594
Work out -19 - 647301053034.
-647301053053
What is the distance between 439081 and 126139511?
125700430
Calculate 14.4484235884 - 0.069.
14.3794235884
Sum 72816 and -0.88714512.
72815.11285488
Add 1513.172774 and -0.5.
1512.672774
Subtract -14056865 from -49.7557.
14056815.2443
Calculate -24.77 - -0.116017871674.
-24.653982128326
What is the distance between -0.020977920028 and 252?
252.020977920028
Add together 3.933248405 and -1.2.
2.733248405
What is the distance between -12080903717558 and 11?
12080903717569
What is -56.2 take away 68.9891059?
-125.1891059
Add -0.5 and -0.33299299436.
-0.83299299436
Work out -65410076102 + -444.
-65410076546
Sum 0.95 and 46081651552.
46081651552.95
Calculate -2616732.282 - 0.7.
-2616732.982
What is 0.03 + -30351022983551?
-30351022983550.97
Work out -117310 - 32817.98.
-150127.98
What is 18356027.1 - -0.0708?
18356027.1708
Put together 21.636504613 and -1.35.
20.286504613
What is -0.202 - -1842075150?
1842075149.798
Subtract 170103269889 from -1.
-170103269890
-366528773+-29.13105
-366528802.13105
1.993513899 - 54
-52.006486101
-431793080958 - 0.5
-431793080958.5
What is -583 plus -286647850.2?
-286648433.2
Add 1106792.5 and 163473.
1270265.5
What is 1262353283 + -2867?
1262350416
What is 186.6 take away 1278501.319?
-1278314.719
Calculate 4576.4038092 + -6.
4570.4038092
Calculate -281259371011 + -1.21.
-281259371012.21
What is the distance between 112 and -2064345704?
2064345816
What is -12.8334745569 + 227?
214.1665254431
Calculate -0.1 - 188547324341.
-188547324341.1
-78868173887674 + -0.1
-78868173887674.1
What is 0.1 minus 46912381950186?
-46912381950185.9
Sum 0.05 and -30595869116.
-30595869115.95
What is 24652759 minus -1587?
24654346
Put together -4871.060168 and -26.1.
-4897.160168
What is -33.8472765385 minus -334?
300.1527234615
89995277 - 10.735
89995266.265
Add 1124.7 and -66.9687.
1057.7313
What is the difference between -4592 and 19422.94353?
24014.94353
What is -110210454970 minus 2542?
-110210457512
Work out -53974 - -16295.1764.
-37678.8236
Calculate -5 + -183363064429.
-183363064434
Add 7.6 and 4529257.8.
4529265.4
31.15+75429917
75429948.15
Add together -0.0208321378 and 5.3161.
5.2952678622
What is the difference between -6539043568 and -0.082454?
6539043567.917546
385266+24619381
25004647
0.844315790374 + 0
0.844315790374
Total of 773.1713491 and 0.89.
774.0613491
Sum -19499700 and 58202.
-19441498
Work out 11 + -114206495934.
-114206495923
What is 12.224674467 + -1.5?
10.724674467
Total of -611 and 76178.695815.
75567.695815
What is -63 minus -163671083879?
163671083816
What is 10702.6 + 0.028162279?
10702.628162279
What is 37.9 less than 10709996?
10709958.1
What is 25427735 plus -4394.4?
25423340.6
Put together -0.1 and 91997928340.
91997928339.9
Work out -19393401310762 + 2.
-19393401310760
What is 2138424929123 take away -0.5?
2138424929123.5
What is 0.2012180792 - -4?
4.2012180792
Add together 2 and -712.671043875.
-710.671043875
What is the distance between -273798608969 and -0.04?
273798608968.96
3589067.5 + -550917
3038150.5
What is -427
|
{
"pile_set_name": "DM Mathematics"
}
|
y + 486. Determine z(480).
6
Let t(q) = 2*q**3 - 46*q**2 - 119*q + 1425. Determine t(24).
-279
Let h(g) = -3*g**3 - 38*g**2 - 14*g + 107. Give h(-2).
7
Let r(p) = -206*p + 206. Calculate r(4).
-618
Let r(u) = 13433*u - 53760. Determine r(4).
-28
Let j(i) = -71183*i - 4. Calculate j(0).
-4
Let q(y) = -7114*y**2 + 35573*y - 9. Calculate q(5).
6
Let o(m) = -4*m**2 + 3980*m - 63444. Determine o(16).
-788
Let l(d) = -1582*d - 145558. Give l(-92).
-14
Let r(n) = -36*n**3 - 469*n**2 - 5*n + 98. Determine r(-13).
-6
Let a(m) = 2594*m - 39028. Give a(15).
-118
Let f(d) = -d**3 - 8*d**2 - 81*d - 95. Determine f(-14).
2215
Let d(s) = -9*s**2 - 849*s - 17984. What is d(-32)?
-32
Let x(q) = q**2 + 132*q + 3933. Determine x(-44).
61
Let q(j) = -16265*j + 81320. What is q(5)?
-5
Let m(z) = -13*z**3 + 27406*z**2 - 4215*z - 2110. Give m(2108).
-2
Let j(f) = 12*f**2 + 2133*f - 37204. What is j(16)?
-4
Let y(k) = k**3 + 74*k**2 + 1382*k + 44. What is y(-31)?
-1475
Let z(a) = -37*a + 2879. Calculate z(86).
-303
Let m(o) = 3327*o + 309510. Calculate m(-93).
99
Let b(f) = 2*f**3 + 60*f**2 + 31*f + 204. Determine b(-30).
-726
Let c(d) = -60*d**2 + 76*d - 294. Calculate c(6).
-1998
Let j(r) = -r**3 + 58*r**2 - 881*r + 3157. Give j(17).
29
Let r(i) = -449*i - 84763. Give r(-191).
996
Let r(x) = -110*x**2 + 141*x - 39. Determine r(1).
-8
Let b(k) = -k**2 - 500*k - 13769. Give b(-29).
-110
Let d(b) = b**2 - 4463*b - 4895733. What is d(-911)?
-19
Let f(i) = i**3 + 131*i**2 - 350*i - 11036. Give f(-133).
136
Let d(i) = -10720*i + 193067. Give d(18).
107
Let z(s) = -4151*s + 103769. Determine z(25).
-6
Let x(a) = 8*a**2 + 405*a - 1739. Give x(-53).
-732
Let y(q) = q**3 + 58*q**2 - 1952*q + 1319. What is y(-82)?
7
Let u(c) = c**3 - 6*c**2 - 4404*c + 3924. Give u(69).
-9
Let o(c) = c**3 + 45*c**2 - 682*c - 74. What is o(11)?
-800
Let k(c) = -7*c**3 + 203*c**2 - 697*c - 43. What is k(25)?
32
Let r(i) = -15*i**2 + 12011*i - 47788. Determine r(4).
16
Let c(b) = -b**2 - 30773*b - 184579. Determine c(-6).
23
Let k(h) = -365*h - 861. What is k(-8)?
2059
Let l(v) = -v**2 - 395*v - 35459. Give l(-255).
241
Let s(z) = -18*z**3 + 26*z**2 + 43*z - 104. What is s(3)?
-227
Let d(l) = -10172*l**2 + 732388*l - 302. Give d(72).
-14
Let j(w) = 6662*w + 173255. Calculate j(-26).
43
Let p(d) = -1028134*d - 14393862. Calculate p(-14).
14
Let a(z) = 160*z**2 - 11334*z - 1842. Determine a(71).
4
Let t(g) = 1456003*g - 32032069. Determine t(22).
-3
Let o(w) = -w**3 - 19*w**2 + 9207*w + 166028. Determine o(-18).
-22
Let j(l) = -30*l**2 - 106*l - 12. Give j(-2).
80
Let i(b) = -2*b**3 + 19*b**2 + 248*b - 2355. Give i(11).
10
Let l(v) = -333*v - 50955. Determine l(-152).
-339
Let h(r) = -5*r**2 - 77*r - 81. What is h(-15)?
-51
Let w(z) = 717*z - 5037. Determine w(7).
-18
Let c(i) = -468*i - 5481. What is c(-8)?
-1737
Let b(f) = 12417*f + 24806. Calculate b(-2).
-28
Let x(j) = -48*j**3 - 712*j**2 + 123*j + 50. Give x(-15).
5
Let j(z) = -z**2 + 212*z + 34475. Calculate j(321).
-514
Let b(d) = d**3 - 5*d**2 + 31*d - 201. What is b(8)?
239
Let z(y) = 11*y**2 + 617*y + 3277. Give z(-50).
-73
Let o(m) = 2*m**3 + 44*m**2 - 547*m - 11525. Determine o(-23).
-2
Let h(i) = i**3 - 21*i**2 + 53273*i - 904493. What is h(17)?
-8
Let u(p) = 154*p**2 - 139*p + 237. Determine u(-5).
4782
Let j(f) = -13508*f + 1296761. What is j(96)?
-7
Let o(u) = 10461*u + 115082. Calculate o(-11).
11
Let r(k) = -k**3 - 1521*k**2 - 19540*k + 96518. Calculate r(-1508).
6
Let j(n) = 8*n**2 - 139*n - 491. What is j(21)?
118
Let v(z) = -2*z**2 - 3048*z + 27541. Determine v(9).
-53
Let m(l) = -5*l**2 + 490*l - 9904. Give m(29).
101
Let f(w) = -2*w**2 + 507*w + 23695. Give f(294).
-119
Let g(s) = -7*s**2 + 87*s + 31327. Calculate g(-61).
-27
Let v(i) = i**3 - 10*i**2 - 8*i - 353. Calculate v(10).
-433
Let k(r) = 101332*r + 405297. Determine k(-4).
-31
Let k(h) = -2446*h - 68479. What is k(-28)?
9
Let m(p) = -p**2 - 107158*p + 857334. Calculate m(8).
6
Let u(a) = -a**3 - 240
|
{
"pile_set_name": "DM Mathematics"
}
|
se -3*z = 17*z - 3*z. Suppose 0 = 2*h - z*h, h = -4*r. Solve r = 2*v - 2*y, v - 4*y = -v - 2 for v.
1
Let v be 0 - 0 - (1 - 11). Suppose 4*l - 1074 = -1122. Let n be 25/(-10)*1*l/v. Solve n = 3*z - 3*p, z + 2*z = -4*p + 24 for z.
4
Suppose -l + 31 = 160*t - 164*t, 4*l + 4*t = -16. Solve -13*d + 6 = -10*d, 0 = l*u - 5*d + 7 for u.
1
Let y be ((-4)/(-4))/1 - (-6 + 8)*-2. Solve 5*m = -3*b - 7, -19 + 9 = y*m for b.
1
Let i(w) = 13*w**2 + 12*w + 12. Let d be i(-1). Suppose -5*r - d = -2*s + 5*s, 2*s + r = 3. Solve 4*k = -p + s*p + 4, -5*k + 8 = -3*p for k.
4
Let a = -68 - -68. Suppose a*r = -l + r, 2 = r. Let u be (6/15)/l - (-58)/10. Solve -c = -m + 6, -7*m = -2*m + 3*c - u for m.
3
Suppose 2*n = 3*n - 26. Suppose 0 = 2*r - 4*a, -35*a - 4 = -39*a. Solve 4*u + l = -l + 4, -r*u + 5*l + n = 0 for u.
3
Let u = -6213 + 6215. Solve f = -u*h + 4, -5*f + 5*h - 10 = -0*f for f.
0
Let i be 59*(-3)/6*(-2 - 0). Let n = 62 - i. Let y be n - (-16 - -1)/(-5). Solve 0 = -2*k + 10, 5*h - 2*k = -y - 10 for h.
0
Let n be (1/(-4))/(67/(-1340)) + -1. Solve -n*t - 4*w = 24, t = 6*t - 2*w - 5 for t.
-1
Suppose 94 + 20 + 28 = 2*g + 4*t, 0 = t. Solve -8 = 3*x - r, 75*r - 10 = x + g*r for x.
-2
Let f(t) be the third derivative of -2*t**5/15 - 47*t**4/24 + 4*t**3/3 + t**2 - 39*t. Let h be f(-6). Solve 4*p + h = -3*n - 20, -14 = 3*p + n for p.
-4
Let k = 0 - -4. Let a = 4470 + -4469. Solve -p - a = -4*u + 4, -5*p = -k*u + 25 for u.
0
Suppose -631 - 454 = -35*x. Let z be 28 - x - 4*-2. Solve 5*g + 3*a = -2*a + 5, 0 = -3*g + z*a - 29 for g.
-3
Let y(u) = -409*u - 1224. Let o be y(-3). Solve -o*k = 9, -4*a + 5*k - 4*k + 3 = 0 for a.
0
Let a = -85 - -81. Let p be (4 - -8)/((18/a)/(-3)). Solve p = 4*d + 4*o, -10 = -2*d - 3*d + o for d.
2
Let m = -20830 + 20835. Solve 117*d - 112*d - 31 = -2*a, m*a - 3*d = 0 for a.
3
Let b(d) = d**3 - 10*d - 4*d - 1 - 5*d**2 + 15*d. Suppose -5*p = -p - 20. Let n be b(p). Solve -n*l + 20 = -4*k, 3*k = -3*l - 2*l + 1 for k.
-3
Let j(s) = -5*s - 30. Let w be j(-10). Suppose -6*i + w = -2*i. Solve -4*m + 1 = -5*m, -23 = -i*c + 3*m for c.
4
Let v(z) = 4*z**2 + 39*z + 5. Let l be v(-10). Let g be l/(-12) - (-187)/44. Solve 0 = g*y - 3*m - 21, -2*y = -y - 2*m - 11 for y.
3
Suppose 68*h - 62 + 62 = 0. Solve 2*a - o = 0, -2*a + h*a + 3*o = -8 for a.
-2
Let x be (-2)/(-17) - (300/(-51) - -2). Suppose 2 = -x*k + 18. Let w be 152/48 - (-1)/(-6). Solve 0 = w*y + 2*m - 0*m - 8, k*y = -4*m + 16 for y.
0
Let f be (0 + 3/(-10))/(154/(-1540)). Let v = -10 - -36. Suppose g - 1 = 0, 5*q + 4*g - 3*g - v = 0. Solve -2*n = 5*o - 3, -3 + 1 = -q*o - f*n for o.
1
Let c = 5430 + -5416. Solve 2*o + 20*l = 19*l + 6, 5*o = -2*l + c for o.
2
Suppose 190*p - 194*p = 1060. Let z = -233 - p. Solve 0 = -2*b + 2*x, 6*x - 2*x = -4*b + z for b.
4
Suppose n - 6 = 45. Suppose -83 = -2*a - n. Suppose 20*c - a*c - 16 = 0. Solve -c*r = 3*t - 10, -2*t + 2 = 4*r - 6 for r.
1
Let x be -11 + (-176)/(-16) - -37. Solve n + l + 9 = 0, 3*l = -71*n + 66*n - x for n.
-5
Suppose 5*q - 131 = -2*u, -2*u = -q + 33 - 2. Let n be 2/4*22*1. Suppose -5*y = -2*y + 2*i - n, 5*i + 30 = 4*y. Solve 18 = -l + 3*g + g, -y*g = l - q for l.
2
Let q be 291/194*(3 - 1). Solve 20 = 4*v - 2*f, -8*v + q*v + 11 = f for v.
3
Let q be (5/(-9))/(25/(-210)) + (-10)/(-30). Solve 0 = -9*m + 4*m + 2*o + 10, 0 = -5*m + q*o + 10 for m.
2
Let x be (-45)/(-8) + (-70)/112. Solve -11 = -v + 5*r, x*r - 63 = -4*v - 69 for v.
1
Let n be 2/(11/(-9 + 20)). Solve -10 - 5 = -n*q + 5*a, 0 = 3*a + 15 for q.
-5
Let o(f) = -19 - 34*f - 31*f + 98*f - 36*f. Let x be o(-7). Suppose -5*n + 0*n - 2*r + 4 = 0, -4*n = x*r - 4. Solve c + n*g - 5 = 5*g, -2*g = -c + 5 for c.
5
Let g(l) = -15*l**3 - 2*l - 3. Let y be g(2). Let v = -131 - y. Let o be v + (-248)/(-60) + 146/30. Solve -5*i - x = 22, 4*i + 4*x + x + o = 0 for i.
-5
Let u(m) be the third derivative of 0*m + 43*m**2 + 1/12*m**4 + 0 - 10/3*m**3. Let w be u(11).
|
{
"pile_set_name": "DM Mathematics"
}
|
the third biggest value in -3, h, u?
-3
Let t(j) = j**3 - 2*j. Let x be t(2). Let p = -55/72 + 7/18. Suppose 3*f + 4 + 5 = 0. Which is the third biggest value? (a) x (b) f (c) p
b
Let v = -0.2 + 0.3. Let m = 2152.3 - 2152. What is the third smallest value in m, 0.4, v, 5?
0.4
Let q(l) = -l**3 - 12*l**2 - 18*l + 21. Let y be q(-10). Which is the second biggest value? (a) -0.5 (b) y (c) 0.5 (d) 4/15
c
Let t = -292 + 293. Which is the fourth biggest value? (a) -2 (b) -3 (c) -187 (d) t
c
Let s = 1653.89 + -1654. Which is the second smallest value? (a) 0.05 (b) -3 (c) s
c
Suppose 2*s + 0*p = 4*p - 24, -p = -5. Let y be ((-4)/10)/(s/10). Which is the second smallest value? (a) -0.3 (b) -3 (c) y
a
Let i = 197953/2490 - -1/1245. Which is the third biggest value? (a) 2 (b) i (c) -0.1 (d) -5/2
c
Suppose -5*l = 4*f + 813, f + 831 = -5*l + 3*f. Let q be 2/(-5)*1*l. Let x be (-2)/6 - q/(-306). Which is the third smallest value? (a) 1/3 (b) -0.2 (c) x
a
Let x = 4 - 1. Let p = 8 + 12. Let w = 20 - p. What is the second smallest value in -0.3, w, x?
w
Let m = -1011 + 1007. Which is the third biggest value? (a) 0.2 (b) m (c) 40
b
Let m = -128 + 120.5. Let g = m - -7.7. What is the fourth biggest value in -1, -1/6, g, 1/11?
-1
Let z = -5.02 + 0.02. Let m = z + 5.1. Let n = -1.1 + m. What is the smallest value in n, 4/5, -2/5?
n
Let r = 2.39 + 2.61. Let y = 14.5 - 15. What is the second smallest value in -3/5, r, y?
y
Let b be 5*(-10)/25 - 5/(-3). What is the third biggest value in 36, -0.1, b?
b
Let f = 212 - 211.5. Let x = 125/156 + -2/39. What is the third smallest value in x, 1, f, 0.07?
x
Let v = 11990/3 - 4043. Let o = v - -46. Let q be (-1)/2*12/4. What is the third smallest value in -0.5, o, q?
o
Let q be 3/4*(-8)/14. Let g = 0.667 - -3.333. Let s = 6 - 17/3. Which is the third biggest value? (a) q (b) s (c) g
a
Let i = -674 - -677. Which is the third biggest value? (a) -2 (b) i (c) 11
a
Let b = -1.28 - -0.91. Let o = b - -0.07. Let y be 4/9 + ((-47)/18 - -2). What is the third biggest value in o, 1, y?
o
Let c = 52.7723 - 0.0723. Let g = c - 53. What is the third biggest value in 4, -24, g?
-24
Let x = -3.4 - -0.6. Let n = -3 - x. Let q = 10176 + -10176.3. Which is the biggest value? (a) q (b) n (c) 0.06
c
Let j be (-4)/(-3)*6/(-4). Suppose -7*y + 19 + 65 = 0. Let q be (j/(-4))/((-21)/y). Which is the second biggest value? (a) 3 (b) 2 (c) q
b
Let g = -776 + 769. Which is the smallest value? (a) 6 (b) 1 (c) g (d) 0
c
Let m = 0.01 - 2.01. Let w = -1/116 - 225/812. Let c = -65 - -68. What is the third biggest value in c, m, w?
m
Let h(s) = -s**3 + 11*s**2 + 14*s + 2. Let q be h(12). What is the biggest value in q, 0, 0.2?
q
Let p = -35.2 - -36.2. Which is the third biggest value? (a) -4 (b) p (c) -0.3
a
Let x = -1248 + 1234. What is the fourth biggest value in 0.5, 4, -4, x?
x
Let a = 3380 - 3375. Let w = -17.86 + 18. Let s = 12.86 + w. What is the second smallest value in s, a, -1/5?
a
Let f(w) = 6*w - 2*w - 13 - 3*w - 2*w. Let r be f(-9). Let x be 1/(2/(-17) - (-230)/(-68)). Which is the second biggest value? (a) 12 (b) x (c) r
b
Let h = -0.0351 + 0.0351. Which is the second biggest value? (a) h (b) 5 (c) 0.77 (d) -3
c
Suppose -9*b + 4*b - 15 = 0. Let q = -0.61 + 0.81. What is the second smallest value in q, b, 3?
q
Let j = 33 + -100/3. Let w = -26 + 8.4. Let n = 18 + w. What is the biggest value in n, j, -0.4?
n
Let k = -0.034 - -0.534. Let a = -3 - -3. Let i = a + -1. What is the third smallest value in i, k, 0.2?
k
Let m be (-28)/112*(-8)/(-18). Let n(g) = g**3 + 9 + 10*g + 9*g**2 + g**2 - 5. Let v be n(-9). Which is the smallest value? (a) v (b) m (c) 0.05
a
Let m = -171 - -172. Let y be 33/22 + 1 + -1. Which is the biggest value? (a) 5 (b) m (c) y
a
Let u = 52.586 - 32.54. Let j = u - 0.046. Let s = j + -19.5. What is the biggest value in s, -2/3, -8?
s
Let q be 7 + 0 + -4 - 2. Let z(p) = -3*p**2 - 2*p. Let w be z(q). What is the biggest value in 5/3, w, 3/2?
5/3
Let v = -1203 - -6017/5. Which is the fourth smallest value? (a) -9 (b) v (c) -0.1 (d) 2
d
Let h = 17.3 - 5.3. Let g = -9 + h. What is the second biggest value in 5, -0.3, -0.8, g?
g
Let p = -497/3 - -167. Let t = -0.83 + 0.6. Let v = -0.07 + t. What is the third biggest value in p, -1, v?
-1
Let z = 0.92 + -1.32. Let k = -2.9 - -2.9. What is the second smallest value in -2, z, -1/2, k?
-1/2
Suppose -27*s + 13*s = 0. What is the third biggest
|
{
"pile_set_name": "DM Mathematics"
}
|
ut replacement from ikiiiiiiki.
0
Three letters picked without replacement from gsgfxjggkgkgkxxjg. What is prob of picking 1 g, 1 k, and 1 j?
21/340
Three letters picked without replacement from {g: 2, x: 1, i: 3, q: 6, e: 5}. What is prob of picking 1 g, 1 x, and 1 q?
3/170
Calculate prob of picking 2 y and 1 s when three letters picked without replacement from yysyzyyyyyssszyysyy.
110/323
Three letters picked without replacement from {a: 7, z: 7}. What is prob of picking 3 z?
5/52
Two letters picked without replacement from {y: 1, r: 1, h: 3, g: 2, v: 3, e: 1}. What is prob of picking 1 g and 1 r?
2/55
Two letters picked without replacement from {f: 4, b: 3, p: 4, i: 4}. Give prob of picking 1 b and 1 i.
4/35
Four letters picked without replacement from {i: 13, q: 5}. Give prob of picking 1 i and 3 q.
13/306
Two letters picked without replacement from pbpppppb. Give prob of picking 2 b.
1/28
Four letters picked without replacement from gbppbbbbbbbcg. Give prob of picking 1 g, 2 b, and 1 c.
56/715
Calculate prob of picking 2 i and 2 r when four letters picked without replacement from zizrzzirzziz.
1/165
Two letters picked without replacement from bbbbbbqbbbbqqeqebqq. What is prob of picking 2 e?
1/171
Two letters picked without replacement from aav. Give prob of picking 2 a.
1/3
Two letters picked without replacement from {t: 1, e: 1, p: 1, m: 1, i: 1}. Give prob of picking 1 m and 1 t.
1/10
Three letters picked without replacement from {h: 4, n: 4, c: 1, g: 1, f: 1, w: 7}. Give prob of picking 2 w and 1 c.
7/272
What is prob of picking 3 b and 1 m when four letters picked without replacement from beebbeemm?
1/63
Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {x: 2, z: 2, g: 5, q: 1, b: 2, d: 2}.
10/91
What is prob of picking 2 g when two letters picked without replacement from wwgwwwwwwgwwwg?
3/91
What is prob of picking 2 f and 1 c when three letters picked without replacement from jfffcfjjf?
5/42
What is prob of picking 1 y and 2 p when three letters picked without replacement from {y: 9, p: 3}?
27/220
Two letters picked without replacement from {t: 7, o: 3, p: 1, g: 4, j: 3}. What is prob of picking 1 t and 1 g?
28/153
Two letters picked without replacement from ibaabaaab. What is prob of picking 1 b and 1 i?
1/12
What is prob of picking 4 x when four letters picked without replacement from xyxxxxyxyy?
1/14
What is prob of picking 2 d when two letters picked without replacement from {d: 13, y: 6}?
26/57
Two letters picked without replacement from {c: 18, i: 1}. Give prob of picking 2 c.
17/19
Two letters picked without replacement from {a: 2, q: 4, w: 1, j: 1, d: 3}. What is prob of picking 1 a and 1 w?
2/55
What is prob of picking 1 p and 2 x when three letters picked without replacement from {p: 1, q: 3, x: 4, d: 12}?
1/190
Four letters picked without replacement from {b: 2, k: 5, p: 3}. What is prob of picking 2 p and 2 k?
1/7
Calculate prob of picking 2 o when two letters picked without replacement from noongxnngnxdnconocn.
2/57
Three letters picked without replacement from {g: 1, f: 2, w: 2, y: 4, m: 1, j: 2}. Give prob of picking 2 y and 1 f.
3/55
Four letters picked without replacement from {b: 9}. Give prob of picking 4 b.
1
Two letters picked without replacement from cycycyyycyccycyycc. What is prob of picking 1 y and 1 c?
9/17
Two letters picked without replacement from tjzszczjsjzshj. What is prob of picking 1 j and 1 s?
12/91
Two letters picked without replacement from qtgqcuuccu. What is prob of picking 1 u and 1 q?
2/15
Calculate prob of picking 2 q and 2 r when four letters picked without replacement from {w: 1, r: 12, q: 3}.
99/910
What is prob of picking 2 e when two letters picked without replacement from eubmubueuuuuuemubu?
1/51
Four letters picked without replacement from {g: 7, n: 4, r: 2}. What is prob of picking 3 n and 1 r?
8/715
What is prob of picking 3 c and 1 m when four letters picked without replacement from cmmccpc?
8/35
What is prob of picking 1 h and 1 r when two letters picked without replacement from {b: 1, h: 1, r: 2}?
1/3
What is prob of picking 3 w and 1 b when four letters picked without replacement from bjwjwwjwwbjjb?
6/143
Calculate prob of picking 2 c and 1 s when three letters picked without replacement from ssscssscsssscsccsss.
140/969
Four letters picked without replacement from jjjsqsssjqj. What is prob of picking 2 q, 1 j, and 1 s?
2/33
Two letters picked without replacement from ddddgdddggddddgddg. Give prob of picking 2 d.
26/51
Calculate prob of picking 1 u and 1 b when two letters picked without replacement from puubpubupbbpuubpubp.
14/57
Three letters picked without replacement from {l: 4, o: 3, d: 4, v: 5}. Give prob of picking 3 d.
1/140
Three letters picked without replacement from llixiliuuul. What is prob of picking 1 i and 2 l?
6/55
Two letters picked without replacement from zpzpzppzzpzpp. Give prob of picking 2 z.
5/26
Two letters picked without replacement from qunqufufqqqfukqnfvqf. What is prob of picking 1 q and 1 f?
7/38
Two letters picked without replacement from {i: 2, h: 1, z: 2}. Give prob of picking 2 i.
1/10
Two letters picked without replacement from {j: 3, r: 4}. Give prob of picking 2 r.
2/7
What is prob of picking 1 o and 1 p when two letters picked without replacement from {l: 3, p: 13, o: 3}?
13/57
Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {n: 3, e: 6, t: 2, x: 1, b: 1}.
1/13
Two letters picked without replacement from shfhhhssfh. What is prob of picking 2 f?
1/45
What is prob of picking 1 u and 2 t when three letters picked without replacement from ttuuuuut?
15/56
What is prob of picking 2 l and 1 t when three letters picked without replacement from {l: 9, z: 8, t: 2}?
24/323
What is prob of picking 2 r when two letters picked without replacement from rrryyr?
2/5
Three letters picked without replacement from {b: 13, d: 3, i: 1}. Give prob of picking 3 d.
1/680
Two letters picked without replacement from kajjcjgrjjkkjrkjjjjj. Give prob of picking 1 a and 1 g.
1/190
Calculate prob of picking 3 k and 1 s when four letters picked without replacement from qqcksqkkjqqkklc.
2/273
What is prob of picking 2 c and 1 r when three letters picked without replacement from {c: 7, b: 4, r: 1, l: 2}?
3/52
Calculate prob of picking 1 e and 2 k when three letters picked without replacement from ookyoyooeokoyyokoy.
1/272
Three letters picked without replacement from {i: 14, q: 1}. Give prob of picking 2 i and 1 q.
1/5
Four letters picked without replacement from iiirriiiiriririi. Give prob of picking 1 r and 3 i.
165/364
|
{
"pile_set_name": "DM Mathematics"
}
|
ement from {o: 2, u: 7, x: 3}. What is prob of sequence xxux?
7/1980
Calculate prob of sequence qxu when three letters picked without replacement from uxxrurarxq.
1/120
What is prob of sequence ybjj when four letters picked without replacement from {e: 1, b: 5, y: 8, j: 4}?
1/153
Calculate prob of sequence nqnn when four letters picked without replacement from nnnnnnnnnnnqnnn.
1/15
Calculate prob of sequence pub when three letters picked without replacement from weuepuppleb.
1/165
Two letters picked without replacement from rnnqtzttntnrnttznz. What is prob of sequence tz?
1/17
Calculate prob of sequence mgog when four letters picked without replacement from {g: 8, m: 5, o: 4, e: 1}.
7/459
Four letters picked without replacement from ssssszsssusssssuzzss. What is prob of sequence szss?
91/1292
Two letters picked without replacement from stsiiptssisixppsxxii. Give prob of sequence si.
9/95
Three letters picked without replacement from mqwwwrxxqzrq. Give prob of sequence zrw.
1/220
What is prob of sequence oxaa when four letters picked without replacement from eaeoeaxaoaeaaaeexoee?
7/3230
What is prob of sequence ix when two letters picked without replacement from {d: 2, i: 7, x: 1}?
7/90
What is prob of sequence lccc when four letters picked without replacement from cccclccccccccclccccc?
8/95
Four letters picked without replacement from {b: 6, a: 4}. Give prob of sequence abab.
1/14
Calculate prob of sequence rwjw when four letters picked without replacement from rjywggjw.
1/420
Two letters picked without replacement from eeeeeeeeeeeeeqe. Give prob of sequence qe.
1/15
Two letters picked without replacement from vvvvkkvvvvvvv. What is prob of sequence kk?
1/78
Four letters picked without replacement from {v: 1, n: 2, h: 3, f: 3, u: 4, a: 2}. What is prob of sequence ahhv?
1/2730
Calculate prob of sequence pbv when three letters picked without replacement from {p: 1, b: 2, j: 1, v: 1}.
1/30
Two letters picked without replacement from wmzwzwwz. What is prob of sequence mw?
1/14
What is prob of sequence qk when two letters picked without replacement from cqqqqgkqqiqcqwkkg?
3/34
Two letters picked without replacement from kkkkczzzkkcclc. What is prob of sequence ck?
12/91
Three letters picked without replacement from lnznnnoonlnllhoo. Give prob of sequence hnn.
1/112
What is prob of sequence edi when three letters picked without replacement from {n: 1, d: 10, i: 1, e: 2, c: 4}?
5/1224
Four letters picked without replacement from {k: 2, i: 4, p: 1}. Give prob of sequence ikpk.
1/105
Two letters picked without replacement from mbjjbjbb. What is prob of sequence mb?
1/14
Calculate prob of sequence llv when three letters picked without replacement from {v: 7, x: 2, l: 6}.
1/13
What is prob of sequence el when two letters picked without replacement from {y: 2, l: 2, e: 1}?
1/10
Four letters picked without replacement from ruhsrhuuuhs. Give prob of sequence hsur.
1/165
Three letters picked without replacement from {v: 5, z: 7, o: 2, h: 5}. What is prob of sequence zhh?
70/2907
Two letters picked without replacement from {m: 1, o: 1, q: 2, j: 1}. What is prob of sequence qm?
1/10
Four letters picked without replacement from hkhaahhhhakh. What is prob of sequence ahkk?
7/1980
Two letters picked without replacement from zizzzi. Give prob of sequence zz.
2/5
Two letters picked without replacement from {y: 5, z: 2}. What is prob of sequence yz?
5/21
Calculate prob of sequence gfg when three letters picked without replacement from gyfryrffrgfyg.
2/143
Two letters picked without replacement from {u: 7, b: 1, z: 4, i: 8}. Give prob of sequence iu.
14/95
Calculate prob of sequence pp when two letters picked without replacement from {r: 15, p: 3}.
1/51
Two letters picked without replacement from {n: 1, o: 4, c: 2, m: 6, z: 2}. What is prob of sequence oz?
4/105
What is prob of sequence gudu when four letters picked without replacement from guucuduugcuceueud?
1/255
Calculate prob of sequence ncj when three letters picked without replacement from yjjcjjyn.
1/84
Calculate prob of sequence nnhn when four letters picked without replacement from hnnn.
1/4
What is prob of sequence le when two letters picked without replacement from lzlfezlelez?
6/55
Calculate prob of sequence ps when two letters picked without replacement from pss.
1/3
Calculate prob of sequence qq when two letters picked without replacement from {l: 4, p: 11, q: 2, h: 2}.
1/171
Two letters picked without replacement from zzzzzpppvzllv. Give prob of sequence pl.
1/26
Calculate prob of sequence ffff when four letters picked without replacement from {f: 7}.
1
Calculate prob of sequence jjjg when four letters picked without replacement from ggjjjjgggjjmjgjgjjj.
385/5168
Four letters picked without replacement from gkgjghgjjccjgpgc. Give prob of sequence jckg.
3/1820
What is prob of sequence vbl when three letters picked without replacement from {v: 2, l: 1, e: 2, b: 1, k: 1}?
1/105
What is prob of sequence jz when two letters picked without replacement from ttjzjjtz?
3/28
Two letters picked without replacement from rrs. What is prob of sequence sr?
1/3
Three letters picked without replacement from {n: 3, v: 7, b: 1, w: 1}. Give prob of sequence vwb.
7/1320
Two letters picked without replacement from {s: 5, b: 11}. Give prob of sequence bb.
11/24
Four letters picked without replacement from uaaauauauguauaauaa. Give prob of sequence auaa.
7/102
Calculate prob of sequence xdsp when four letters picked without replacement from idpidsx.
1/420
What is prob of sequence ta when two letters picked without replacement from {a: 3, t: 2}?
3/10
Four letters picked without replacement from kpzpkpkkz. Give prob of sequence kzpp.
1/63
What is prob of sequence rdr when three letters picked without replacement from {d: 12, r: 3}?
12/455
What is prob of sequence idd when three letters picked without replacement from hidd?
1/12
Two letters picked without replacement from {v: 4, r: 7, i: 3}. What is prob of sequence vi?
6/91
Calculate prob of sequence iw when two letters picked without replacement from biyibiqqbiwij.
5/156
What is prob of sequence nt when two letters picked without replacement from ntot?
1/6
Four letters picked without replacement from zjbdbmkmdbkbbbjdbdkd. What is prob of sequence bmkz?
7/19380
Calculate prob of sequence cc when two letters picked without replacement from ccwccwwwwwcww.
5/39
Calculate prob of sequence uu when two letters picked without replacement from yyyyyyyuyu.
1/45
Three letters picked without replacement from wwwwuwwwwuwwwuwwwwww. What is prob of sequence uuu?
1/1140
Two letters picked without replacement from bydvx. Give prob of sequence xv.
1/20
Calculate prob of sequence kkbz when four letters picked without replacement from {y: 2, k: 2, z: 1, h: 1, w: 1, b: 1}.
1/840
Calculate prob of sequence zvq when three letters picked without replacement from lllvqvvvvvzqq.
3/286
Three letters picked without replacement from cvtvdcctgtgtcc. Give prob of sequence vgd.
1/546
Four letters picked without replacement from {m:
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the third smallest value in k, b, -2/13?
k
Let h = 180.1 + -180. Let p be (-3)/12*16/(-12). Let y = -0.2 - -0.4. Which is the third biggest value? (a) y (b) p (c) h
c
Let d = 29 + -6. Let h = -18 + d. Let v = 0.32 + -0.02. Which is the second smallest value? (a) h (b) 10 (c) v
a
Let i(r) = 2*r + 12. Let h(l) = -2*l - 12. Let v(q) = 3*h(q) + 2*i(q). Let y be v(-7). What is the smallest value in 2/17, -0.2, y, -0.3?
-0.3
Let y(d) = d - 16. Let g be y(19). Suppose 0 = 4*c - 4*r - 28, g*c - 6 = 2*r - 4*r. What is the third biggest value in c, -2, -3?
-3
Let r = -3.71 - -4. Let n = 0.31 - r. What is the biggest value in 2/7, n, -1, -0.2?
2/7
Suppose 0 = -c - 3*c + 4. Let k be c - (-3 - (3 + -4)). Suppose 2*r - y - 4 = 0, -k*r = 2*r - 5*y. What is the third biggest value in -7, -1, r?
-7
Let w be (-11 - -1)/(-3 + 4/4). Let r = 2 - 2.2. Which is the smallest value? (a) 0.4 (b) r (c) w
b
Let x = -10.82 + 11. Let d = -6.1637 + -0.0163. Let w = x + d. Which is the biggest value? (a) w (b) -3/7 (c) -0.3
c
Suppose -3*q = -6*q. Let z = -6 - -2. Let r = z + 4.1. What is the smallest value in -4, r, q?
-4
Suppose 5*s + 16 = s. Let p = 0.2 - -0.3. Let m = -8821 + 8825. What is the second smallest value in p, s, m?
p
Let h = -48.5 - -49. Which is the second biggest value? (a) 3 (b) 1.3 (c) h (d) 0.4
b
Let p be 6/(-9) + 17/3. Suppose 0 = 4*h + 19 + p. Let z be ((-2)/h - 0)*-15. What is the third smallest value in -1, -2, z?
-1
Let w = 0.241 - -12.759. Which is the third biggest value? (a) 1/3 (b) -4 (c) -1 (d) w
c
Let s = 17.1 + -21. Let o = -3.73 - s. Let y = 0.23 + o. Which is the third smallest value? (a) -3/11 (b) y (c) -4
b
Let i be 10*(4 - 69/18). Let y = -5.1 - -1.1. Let x(c) = -c**2 + c. Let z be x(0). What is the second smallest value in i, z, y?
z
Let l = 78 + -82. What is the third smallest value in -5, l, 1/7?
1/7
Let h be (170/24 - 7)*16. Which is the second biggest value? (a) -0.2 (b) 9 (c) h
c
Let o = -22 - -25. Let j = 68 - 67. Which is the second biggest value? (a) -5 (b) j (c) o (d) -3
b
Let h = -654 + 653.7. Which is the third biggest value? (a) -15 (b) -2 (c) h
a
Suppose -u - 18 = -5*o, 5*o + 4*u - 21 = -18. Let v = -6 + 11. Which is the fourth smallest value? (a) -0.1 (b) v (c) o (d) 1/4
b
Let j = 161/11 - 655/44. What is the third smallest value in j, 9, -1/5?
9
Let t = 7 - 12. Let q = 35.078 + -0.078. Let g = 34.6 - q. Which is the second smallest value? (a) g (b) -1.1 (c) t
b
Let n = 176 + -180. Which is the fourth smallest value? (a) 1 (b) n (c) 1/2 (d) -5
a
Let f = 0.9 + -1.22. Let i = 129 - 128.78. Let s = f + i. What is the second smallest value in s, 0.3, -9?
s
Let q = -188.8 + 189. Which is the biggest value? (a) 0.6 (b) 5 (c) q (d) 2/13
b
Let p = 6 + -4. Let m = -6.09 - -0.09. Let s = -9 - m. Which is the third smallest value? (a) p (b) s (c) 5
c
Suppose 2*u - 36 = -5*x, -18 = -3*x + 7*u - 10*u. Let r(n) = -n + 5. Let v be r(5). Suppose v = -s + x*s + 35. Which is the biggest value? (a) 3 (b) s (c) -3
a
Suppose 0 = w - 25 - 18. Let n = w + -44. Which is the second biggest value? (a) 4 (b) -11 (c) n
c
Let l = 245.7 + -244. Which is the biggest value? (a) l (b) 3 (c) -0.4
b
Let t = -34 - -10. Let h = -21 - t. Let b be (9/(-6))/((-3)/4). What is the biggest value in h, 1, b?
h
Let g = 3 + 1. Suppose -1462*i + 30 = -1456*i. What is the third biggest value in g, -0.4, i?
-0.4
Let q = 4131 - 4134. Let x = -2.5 - -30.5. What is the second biggest value in -1/9, q, x?
-1/9
Let k = -0.687 - 128.373. Let y = k + 131. Let v = 0.06 + y. Which is the smallest value? (a) 1 (b) v (c) -2
c
Let x = 106.82 - 107. Which is the third biggest value? (a) -1 (b) x (c) 1/6
a
Let f = 1498 - 1502. Let p be (-6)/4*(-4)/15. Which is the second smallest value? (a) f (b) p (c) 3
b
Let l be 9/(-15)*60/18. Which is the third biggest value? (a) -265 (b) -1/2 (c) l
a
Suppose -28 = -4*i - 5*f, -i + 4*i - f - 2 = 0. Suppose 4*d - i*d = 0. Let m = -1 - 3. Which is the second smallest value? (a) 3/2 (b) d (c) m
b
Let v be 7/(56/180) + (-3)/(-6). Let g = v - 165/7. Let l = -2.5 - -2. What is the second smallest value in 0.2, g, l?
l
Let n = -3513 - -3511. Let m = 0.1 - -0.4. What is the third smallest value in 0.1, 1, n, m?
m
Let z(q) = -264*q**2 - q - 2. Let t be z(-1). Let l = 1067/4 + t. Which is the biggest value? (a) -0.2 (b) l (c) 4
c
|
{
"pile_set_name": "DM Mathematics"
}
|
95640*f + 7
Differentiate -134372326*w + 82192010 wrt w.
-134372326
What is the second derivative of 331*v**3*y - v**3 - 9807*v**2*y + 6*v*y - 3660*v + 243*y wrt v?
1986*v*y - 6*v - 19614*y
What is the first derivative of -5336236*d - 756578 wrt d?
-5336236
What is the third derivative of -2*z**5 - 3840970*z**4 + z**3 + 274*z**2 - z - 3263?
-120*z**2 - 92183280*z + 6
What is the second derivative of 576193576*w**2 + 68188726*w wrt w?
1152387152
Find the second derivative of 129414705*n**3 + 2184*n + 276 wrt n.
776488230*n
Find the third derivative of 372358664*a**5 + 2*a**2 - 1332656*a.
22341519840*a**2
Find the first derivative of 34130*s**2*w - 19*s**2 + 1687*s*w**2 - 1034*s - w**3 + 253 wrt w.
34130*s**2 + 3374*s*w - 3*w**2
What is the first derivative of -10*v**3*x**3 - 2866034*v**3*x**2 + 539*v**3 - 69*v**2 - v - 11 wrt x?
-30*v**3*x**2 - 5732068*v**3*x
What is the derivative of -7660741*n*r*y - 2*r*y + 19*r + 9*y - 1206 wrt n?
-7660741*r*y
Find the second derivative of -230113*d**3 + 13*d**2 + 26371524*d wrt d.
-1380678*d + 26
Find the second derivative of 7827207*i**2 + 6805174*i - 2.
15654414
Find the second derivative of 56665*s*t**3 - 5*s*t**2 + 11355*s*t + 7*t**3 + t**2 - 192*t - 1 wrt t.
339990*s*t - 10*s + 42*t + 2
Differentiate -3099962*a**2 + 640741.
-6199924*a
Find the first derivative of -170839*m**3 - 2810*m**2 - 1227880856.
-512517*m**2 - 5620*m
What is the third derivative of -3*d**3*f**3 - 4*d**3*f**2 + 379843*d**2*f**2 + 72*d*f**3 - 115332*f**3 - 9 wrt f?
-18*d**3 + 432*d - 691992
Find the first derivative of 2438407*a**3*h*t**2 - 5*a*h*t**2 + h*t - 11427*h - 42*t**2 + 5*t wrt a.
7315221*a**2*h*t**2 - 5*h*t**2
Find the third derivative of 55*o*v**4 + o*v**3 - 2*o*v**2 + 5*o*v - 50930*v**3 + 61874*v**2 - 2 wrt v.
1320*o*v + 6*o - 305580
What is the second derivative of 431330663*i**2*p**2 - 1507*i**2*p - 2*i**2 + i*p - 83*p + 1 wrt p?
862661326*i**2
Find the second derivative of -51*g**4*k**3 + 38574*g**2*k**3 - 10*g*k**3 - 3*g*k**2 - 24*g + 206*k**3 wrt g.
-612*g**2*k**3 + 77148*k**3
What is the third derivative of 5213980*s**5 + 11567525*s**2 wrt s?
312838800*s**2
Differentiate -6209120*m**4*s**2 - m**2*s**3 - 4681*s**3 - 2*s**2 + s - 36 wrt m.
-24836480*m**3*s**2 - 2*m*s**3
What is the second derivative of 10658*p**4 + 185*p**3 - 2*p**2 + p + 167308407?
127896*p**2 + 1110*p - 4
What is the third derivative of 769493247*b**3*c**3 - 3*b**2*c**2 + 2*b*c**3 - 5*b*c**2 - 5*c**2 - 4576*c - 33 wrt b?
4616959482*c**3
Differentiate 4*g**3 + 1699028*g**2 + 113439611 wrt g.
12*g**2 + 3398056*g
Find the first derivative of -2*m*o + 160942032*m - 202208223*o wrt o.
-2*m - 202208223
Find the third derivative of 2793631*w**4 + 24*w**3 + 246*w**2 + 5*w + 4264.
67047144*w + 144
Find the second derivative of -361706069*v**2 + 336892586*v.
-723412138
Find the second derivative of -d*j**2 + 47338*d*j - 32*d - 8634430*j**4 - 10*j wrt j.
-2*d - 103613160*j**2
What is the second derivative of 25*x*z**3 + 41486*x*z**2 + 144*x*z - 6797*x - 2*z**3 wrt z?
150*x*z + 82972*x - 12*z
What is the third derivative of -5793*m**6 - 1941*m**4 - m**3 - 3*m**2 - 2*m + 266170 wrt m?
-695160*m**3 - 46584*m - 6
What is the first derivative of -928513561*h**3*m**2 - h**3 - 391855735*m**2 wrt h?
-2785540683*h**2*m**2 - 3*h**2
What is the second derivative of -122497073*d**2 + 109*d + 86922 wrt d?
-244994146
What is the third derivative of -832385593*z**4 - 19353656*z**2 - 5 wrt z?
-19977254232*z
Differentiate 599146656*h*r + 2*r + 1069461208 wrt h.
599146656*r
What is the second derivative of 11*d**2*v**2 - 1549*d**2*v + 2687*d**2 - 777943973*d*v**2 wrt d?
22*v**2 - 3098*v + 5374
Differentiate -46120155*c + 57842717.
-46120155
Find the first derivative of -15*b*r**3 - 20*b*r - 2064*b + 3*r**3 - 2*r**2 + 2*r + 22179 wrt b.
-15*r**3 - 20*r - 2064
Differentiate -531*b*l**2 + 2511204*b + 24691*l**3 + 34 wrt l.
-1062*b*l + 74073*l**2
Find the second derivative of -199*j**3 + 138885*j**2 + 118867176*j wrt j.
-1194*j + 277770
What is the second derivative of 11413956*u**5 - 4843538*u?
228279120*u**3
What is the third derivative of 10970995*v**3*y**2 + v**3*y + 3*v**2*y**2 - 2*v**2*y + 251*v*y**2 + 6*v*y + 132 wrt v?
65825970*y**2 + 6*y
Find the second derivative of 2*n**2*x + 57646036*n**2 - 95586*n*x - 118*x - 1 wrt n.
4*x + 115292072
Find the second derivative of -469884934*m**2*q
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 2*l**2 - 6*l**2).
30591*l**4
Expand (1 + 1 + 0)*(o - 3*o + 3*o)*(0 + 0 + 2 + (3 - 2 - 2)*(2 - 2 + 2) - 4 + 7 - 1 - 5 + 2 + 5) - 5*o + 3*o + 0*o + (-1 - 14 + 5)*(-144 + 26*o + 144).
-254*o
Expand (5 + 0 - 1)*(1 + 0 - 14)*(23*t + 7*t - 6*t + 21*t).
-2340*t
Expand (196 + 896 - 33 + 312)*(-7*o + 2*o + 7*o).
2742*o
Expand 204*t**4 + 76*t**5 - 204*t**4 + (2*t**2 - 4*t**2 + 3*t**2)*(-5*t**3 + 13*t**3 + 7*t**3) - 4*t - 2*t**5 + 4*t.
89*t**5
Expand (-24 - 21 + 12)*(48*a + 62*a - 90*a).
-660*a
Expand -1593*x - 2226*x + 424*x - 1856*x - x + x - 3*x + (-2*x - x + 2*x)*(3 - 2 - 2).
-5253*x
Expand 28*b - 4*b - 2*b + 0*b + 5*b - 3*b + 2 - 2 + 2*b + (2*b - 3*b + 0*b)*(-2 + 1 + 0) + 5*b - b + 24*b - 5*b + 5*b - 2*b.
53*b
Expand -8*u + 8 - 8 + (4 - 4 + u)*(-1319 - 152 + 399).
-1080*u
Expand (0*f**4 + 0*f**4 - 2*f**5)*(3 - 2 + 1) + (4*f + f**4 - 4*f)*(3*f - 2*f + 2*f) - 4*f**2 - 36*f**3 + 36*f**3 - 2*f**5 + f + 754*f**4 - 754*f**4 + 71*f**5.
68*f**5 - 4*f**2 + f
Expand (2*v**2 + 0*v**2 + 0*v**2)*(0 + 0 + 5*v + v - 4 + 4 - 4 + 4 - 5*v - 5*v + 2*v + 2*v + (0 + 1 - 3)*(3 - 3 - 2*v)).
8*v**3
Expand -6*q**3 + 2*q**2 - 100*q - 136035 + 136035 + (0 - 2*q**3 + 0)*(0 - 6 + 4).
-2*q**3 + 2*q**2 - 100*q
Expand (h - 1 + 1)*(4*h - 3*h + 2*h + (49*h + 9*h + 5*h)*(-2 + 2 + 1) + 0*h + 7*h - 3*h).
70*h**2
Expand (0 - 3 + 1)*(850*f + 9201 - 9201)*(3*f**2 - 2*f**2 - 4*f**2).
5100*f**3
Expand (-30*k**2 + 30*k**2 - 4*k**3)*((0 - 3 + 0)*(0*k - k - k) + 1 - 1 - 4*k + (-k - 4 + 4)*(1 + 1 - 3) + 10*k - 8*k - 4*k).
-4*k**4
Expand (-14*m + 1 - 2 + 17*m + (-4 + 2*m + 4)*(1 - 1 - 2))*(185 + 265 - 1008).
558*m + 558
Expand (s**3 - 5*s**3 + 2*s**3)*(5*s**2 - s**2 + 9*s**2) - 34*s**2 + 23*s**2 - 2*s**5 + 22*s**2.
-28*s**5 + 11*s**2
Expand -4*d**3 - 2 + 49*d**3 - 23*d**3 + 2*d**3 + (1 + 2*d - 1)*(-d**2 + 0*d**2 - 4*d**2).
14*d**3 - 2
Expand ((5 + 9 - 4)*(3 + 1 + 1) + 2 + 4 - 4)*(1 - 1 + q)*(3 + 5 + 9).
884*q
Expand (11*x - 47*x + 0*x)*(x**2 - 2 + 2)*(-3*x + 10 - 10)*(-8 - 11 + 4).
-1620*x**4
Expand (-15 + 15 - 9*d)*(457 + 227 + 355 - 380).
-5931*d
Expand (-s - 2*s + s)*(-4*s + 9*s + 24 - 3*s) + (-3005 + 3005 + 77*s)*(0*s + 0*s + s).
73*s**2 - 48*s
Expand (-12 - 2 + 30 + 5 + 19)*(-67 + 29*a + 67).
1160*a
Expand (2*i - 5*i + 0*i + (i - i - i)*(-1 + 3 + 0) + i + 2*i - i)*(43 - 494 + 74)*(5 + 1 - 4).
2262*i
Expand (0*r + 0*r - 2*r)*(5 - 1 - 5) + (r - 5*r + 2*r)*(-3 + 3 - 2) + (5 + 0 + 0)*(-2*r + 0*r + 0*r) + 130*r + 48*r - 34*r.
140*r
Expand (-6 + 2 + 2)*(-69 + 69 + 82*z)*(0 - 3 - 1) + (-5 + z + 5)*(4 - 3 + 0) + z - 4*z + 5*z.
659*z
Expand (4 - 3 + 10)*(6329*w**2 - 681*w**3 - 6329*w**2).
-7491*w**3
Expand (0*u + 6*u - 3*u)*(-6 + 2 + 3)*(-37*u**3 - 319*u + 319*u).
111*u**4
Expand ((0 + m + 0)*(-1 + 0 + 4) + (6 - 3 - 1)*(3*m - 3*m - 2*m))*(847*m + 929*m - 1848*m)*(3*m - 4*m + 0*m).
-72*m**3
Expand (2*z + 3*z - 3*z)*(1 - 5 + 3)*(-2412 - 988 - 1232).
9264*z
Expand 4*d - 4*d - d + (1 - 5 + 3)*(-5 + 2*d + 5) + 1 - 1 + d + (-101 + 22 + 0)*(-4*d + d + 0*d).
235*d
Expand (2*y - y - 3*y)*((-2 + 3 + 0)*(2*y + 21*y - 7*y) + 73*y - 645 + 645).
-178*y**2
Expand ((0*z**4 + 0*z**4 + 3*z**4)*(z - 4*z + z) - 9*z**5 + 5*z**5 - z**5)*(25 + 50 - 24).
-561*z**5
Expand -11 - 44 - 1413*z**2 + 26 + 29 + (-1 + 0 + 0)*(-3*z**2 + 2*z**2 - 4*z**2).
-1408*z**2
Expand 2*u**4 - u**4 + 2*u**4 + (-u**3 - 2*u**3 + 5*u**3)*(-4*u + 3*u + 3*u) + (0*u + 0*u - 2*u)*(-11485*u**3 + 6157*u**3 + 8758*u**3).
-6853*u**4
Expand (-5*s**3 - 19*s**3 - 4*s**3)*(0*s + 0*s + 2*s**2) + s**5 + 2*s**5 - 5*s**5 - 3*s**3 - 3*s**5 + 7*s**5 + s**3.
-54*s**5 - 2*s**3
Expand (257 + 2*k - 257 - 147*k**2 + 2*k**2 + 2*k**2 - 2*k**2 + (4 - 3 + 1)*(k**2 + 0*k**
|
{
"pile_set_name": "DM Mathematics"
}
|
j + 45/2*j**b - 75/4*j**3 + 0.
-3*j*(5*j - 3)**2/4
Let a(x) be the second derivative of -x**5/4 - 25*x**4/3 + 5*x**3/6 + 50*x**2 + 115*x. What is u in a(u) = 0?
-20, -1, 1
Let c = 41 + -19. Suppose -4*t + c = 2*h, 12 + 7 = h + 4*t. Factor 2/3*y**h + 10/9*y**2 + 0 + 4/9*y.
2*y*(y + 1)*(3*y + 2)/9
Let u(t) = t**4 + 63*t**3 + 960*t**2 - 1030*t + 6. Let i(w) = -2*w + 2. Let l(k) = -15*i(k) + 5*u(k). Suppose l(a) = 0. What is a?
-32, 0, 1
Let j be 2/(-11) + (-114)/(-22). Suppose 0 = -5*b + d + 48, -31 = -4*b + d + 7. Factor b*x - 19*x**2 + 20*x**3 + 2*x**j - 10*x**4 + 1 - 3 - x**2.
2*(x - 1)**5
Let r = 391445 - 3518873/9. Let j = r - 458. Factor 20/9*q**3 - 2/9 + 10/9*q - 20/9*q**2 - j*q**4 + 2/9*q**5.
2*(q - 1)**5/9
Let h(a) be the first derivative of 16*a + 4*a**5 - 12*a**3 + 3*a**4 - 23 + 20 - 11*a**4 + 16*a**2. Solve h(s) = 0.
-1, -2/5, 1, 2
Let o(b) be the first derivative of -2*b**5/35 + b**4/7 + 2*b**3/21 - 2*b**2/7 + 282. Solve o(u) = 0.
-1, 0, 1, 2
Factor 60*w + 14791*w**4 + 924*w**2 - 640*w**3 - 14683*w**4 + 12*w.
4*w*(w - 3)**2*(27*w + 2)
Let h(j) = -7*j**3 - 3*j + 10. Suppose 137 + 186 = 19*u. Let d(t) = -20*t**3 + t**2 - 10*t + 29. Let b(w) = u*h(w) - 6*d(w). Factor b(r).
(r - 4)*(r - 1)**2
Let s(x) = 3*x + 45*x**3 + 3*x + 7 + 5*x - 18 + 4*x**4. Let b(g) = g**4 + 9*g**3 + 2*g - 2. Let i(w) = 11*b(w) - 2*s(w). Solve i(c) = 0.
-3, 0
Suppose 124 = -12*p + 43*p. Let a(y) be the third derivative of -1/48*y**p + 0 + 0*y - 1/240*y**5 - 1/24*y**3 - 7*y**2. Factor a(f).
-(f + 1)**2/4
Suppose 3*b + 14 = 5*b. Factor -4*m**2 - 55*m - m**2 - 8 + 75 - b.
-5*(m - 1)*(m + 12)
Let l be (15/9)/(2/(32/200)). Let g(w) be the second derivative of 1/6*w**4 + 0*w**2 + 2/25*w**5 - 6*w + l*w**3 + 0 + 1/75*w**6. Find p, given that g(p) = 0.
-2, -1, 0
Let w(o) be the first derivative of o**4 - 148*o**3/3 + 142*o**2 - 140*o - 260. Factor w(t).
4*(t - 35)*(t - 1)**2
Suppose 3*l + 33 = 3*v, l + 0*l + 25 = 3*v. Suppose -z - v*z = -16. Suppose -2*i**4 + 0 + 0*i - z*i**3 - 2/3*i**5 - 2/3*i**2 = 0. Calculate i.
-1, 0
Let q = 121/120 - 5/24. Factor -2/5*i**2 - q*i + 6/5.
-2*(i - 1)*(i + 3)/5
Let h be 2 + (-2688)/(-147) - 16. Let u be (-2)/(-56) - 3/(-12). What is i in -2*i**2 + u*i**3 - 18/7 + h*i = 0?
1, 3
Suppose -3*d - 7*d = -20. Let k be -9*(8/12 - 1). Solve 4/7*t + 0 - 2/7*t**d - 6/7*t**k = 0.
-1, 0, 2/3
Let k(c) be the first derivative of 7 - 27/2*c**2 + 12*c - c**3. Let b(u) = -2*u**2 - 14*u + 6. Let r(h) = 9*b(h) - 5*k(h). Factor r(g).
-3*(g - 2)*(g - 1)
Let n(j) be the third derivative of j**5/75 - j**4/120 - 74*j**2. Solve n(q) = 0.
0, 1/4
Let w be -3 - -58*1/18. Let o = 40 - 118/3. Factor 0 - w*p**2 + o*p.
-2*p*(p - 3)/9
Let d = 75 + -28. Factor 3*t**3 + d*t - 3*t**4 + 6*t**2 - 3*t**2 - 50*t.
-3*t*(t - 1)**2*(t + 1)
Let u(b) = 3*b**3 - 17*b**2 - 18*b. Let s(x) = -20*x**3 + 120*x**2 + 125*x. Let d(c) = -2*s(c) - 15*u(c). Factor d(m).
-5*m*(m - 4)*(m + 1)
Let j be 150/140*168/120. Factor -j*s**2 - 30*s - 150.
-3*(s + 10)**2/2
Suppose r = 5*t - 156, 0*t - 148 = -4*t - 5*r. Solve 92*x**3 + 4 + 28 - 32*x**5 - t*x**4 - 16*x**3 - 112*x + 56*x**2 + 12*x**5 = 0 for x.
-2, 2/5, 1
Suppose 36*x**2 - 2*x**3 - 14*x + 0*x**3 - 7*x**3 + 6*x**3 - 46*x = 0. Calculate x.
0, 2, 10
Let s be (-28)/(-21)*-1*(-3)/(-2). Let l be (s + 2)/(18 - 14). Factor -2/3*w**2 - 2/3*w**4 + 0 + l*w - 4/3*w**3.
-2*w**2*(w + 1)**2/3
Let d(r) be the third derivative of -r**7/420 + r**5/60 + 7*r**3/6 + 18*r**2. Let m(s) be the first derivative of d(s). Factor m(k).
-2*k*(k - 1)*(k + 1)
Let m be (42/(-12))/7*4/(-82). Let b = m - -75/287. Solve 4/7*r**3 - 2/7*r**5 + 4/7*r**2 - 2/7*r**4 - b*r - 2/7 = 0 for r.
-1, 1
Suppose -2 - 4 = -3*o - t, -8 = -4*o - 3*t. Suppose 2*d + 3*d + 10 = 0, o*p + 2*d = 2. Factor -3*x + 5*x**3 - 3*x**4 - 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
late the remainder when w is divided by 5.
4
Suppose -5 = w + 2*s - 116, -4*w = -s - 426. Calculate the remainder when w is divided by 27.
26
Let p be -28 + -3 + (-1 - 2). Let u = p + 55. What is the remainder when 33 is divided by u?
12
Suppose -2*s + 3*o - 2*o = -34, -5*s = 5*o - 85. Suppose s*v - 156 = 11*v. What is the remainder when v is divided by 14?
12
Suppose -4*f + 141 = 25. Let l(y) = 8*y - 485. Calculate the remainder when f is divided by l(62).
7
Suppose 4*y = -3*j + 33, -j = -4*y - 24 + 45. Let k = 50 - 29. Calculate the remainder when k is divided by y.
3
Let d(n) = n**2 + 11*n + 26. Let u be d(-6). Calculate the remainder when 39 is divided by (-20)/u - 9/(-3).
7
Suppose 24 = 2*g + 2*g + 4*l, -5*g - 3*l + 32 = 0. Suppose -g*z - 4*z = -143. Calculate the remainder when 75 is divided by z.
10
What is the remainder when 53 is divided by (-10 + 352/40)*-15?
17
Let r(d) = -3*d - 2. Let u(c) = -2*c**3 + 38*c**2 - 33*c - 51. Calculate the remainder when r(-2) is divided by u(18).
1
Suppose -36*i - 3*i = -936. What is the remainder when i is divided by 8?
0
Suppose -37 = -4*x + 27. Suppose 4*q = -0*q. Let n = x - q. Calculate the remainder when 63 is divided by n.
15
Let c = -172 + 194. Suppose -2*j + 5*s = j - 21, 3*s + 9 = 0. Suppose 0*y - 2*y + 121 = -w, j*w = -3*y + 199. What is the remainder when y is divided by c?
19
Suppose -2*w - 3*b = -22, -11 + 35 = 4*w + b. Suppose 0 = -13*h + w*h + 1744. What is the remainder when h is divided by 17?
14
Let c(u) = -u - u + 25 + 6. Calculate the remainder when 24 is divided by c(12).
3
Let o(k) = -235*k + 1. Let q be o(-1). Let s = -162 + q. Suppose 305*i - 301*i = 3*r + 97, -2*i + 51 = r. Calculate the remainder when s is divided by i.
24
Suppose 7*p - 45 = -185. Let r = 23 + p. Let i = 18 - 10. What is the remainder when i is divided by r?
2
Let v(i) = -2*i - 4. Let p be v(-5). Suppose 7*c - 13 = 6*c. What is the remainder when 3/p - 194/(-4) is divided by c?
10
Let n = 7 - 4. Let s(z) = -z**2 + 6*z + 6*z + z - 5*z - 7. What is the remainder when s(n) is divided by 3?
2
Suppose -2*a - 2*f + 1044 = 0, 5*a + f - 3*f = 2631. What is the remainder when a is divided by 24?
21
Let q(c) = -3*c - 9. Let f(r) = r + 1. Let k(i) = 4*f(i) + q(i). Let j be k(4). Calculate the remainder when 22 is divided by 0 - -3 - (-8 + j).
10
Let n be -3*1/(-9)*-3. Let k = 6 - n. Suppose -2*i = 2*d - 32, -2*d - 4*i + 40 = -0*d. Calculate the remainder when d is divided by k.
5
Suppose -53 - 99 = -4*t. Suppose -12 = -o + 4*p + t, -5*o - p = -208. Let l = 16 + -5. Calculate the remainder when o is divided by l.
9
Let u be (170/3)/((-9)/27). Let x = -101 - u. What is the remainder when x is divided by 14?
13
Let a = 52 - 51. What is the remainder when 30 is divided by a - -5 - (-4 - -6)?
2
Let f = 571 - 566. Suppose -5*k = -3*h - 13, 0 = k + 3 - 8. Calculate the remainder when f is divided by h.
1
Suppose 0 = 5*y + 4*x - 512, -y + 5*x + 485 = 4*y. Let p = -39 + 56. Calculate the remainder when y is divided by p.
15
Suppose 0*v + 2*v = -8. Let n be 2384/36 - v/(-18). Suppose -2*j + n = j. Calculate the remainder when j is divided by 13.
9
Suppose -92 = 3*z - 164. Suppose z = 2*j + j. Let k(s) = 2*s**2 + 2*s - 1. What is the remainder when k(-5) is divided by j?
7
Suppose q - 26 = -5*b, q + 19 = -b + 5*b. Suppose 0 = -b*a + 48 - 33. What is the remainder when 10 is divided by a?
1
Suppose -33*g + 29*g + 48 = 0. Suppose 7*y = -g + 194. What is the remainder when y is divided by 14?
12
Suppose -6 = -2*d - 4*y, -39*d + 38*d + 4*y + 9 = 0. Let j = 38 - -6. Suppose 0*t - j = -2*t. What is the remainder when t is divided by d?
2
Let z(t) = -t**2 + 43*t - 135. Calculate the remainder when z(5) is divided by 12.
7
Calculate the remainder when 409 is divided by 212/8 - -2 - 4/8.
17
Let r(x) = -x + 9. Let a be r(-8). Suppose -l = 4*o - a, 0*l - 3*o + 19 = 2*l. What is the remainder when 13 is divided by l?
3
Suppose 0 = 5*d - 4*k - 57, 3*k - 50 + 44 = 0. What is the remainder when 791 is divided by d?
11
Suppose -4 = 10*t - 12*t. Let q be 11 + 1 - (0 + t). Suppose 3*b + 2*y = -2*y + 37, 0 = 5*y + q. Calculate the remainder when 43 is divided by b.
13
Suppose 0 = -2*v - 3 - 7, 5*w + 3*v - 70 = 0. Let i = -13 + w. What is the remainder when 17 is divided by i?
1
Let h be (-7)/((-7)/(-3)) + 7. Suppose -4*i - h = 0, -2*u = -u - i - 17. What is the remainder when 60 is divided by u?
12
Suppose -6*w + 2*w = 0. Suppose w = p + p - 12. Suppose 2*n + 5*m = 50, 2*n - 2*m - 12 = 10. What is the remainder when n is divided by p?
3
Let m(k) = k**2 + 103*k - 526. What is the remainder when 687/5 - (-4)/(-10) is divided by m(5)?
11
Let z(w) = 16*w**2 - 6*w**2 - 11*w**2 - 2*w + 2 - w. Let s be 2*9/6*-1. Calculate the remainder when 4 is divided by z(s).
0
Let h be -1 + 4 - (28/7 + -2). Calculate the remainder when 3*4/(-6) - (-22 - h) is divided by 7.
0
Suppose 258 = 21*w - 120. What is the remainder when 194 is divided by w?
14
Calculate the remainder when 9/((-630)/(-21010)) + 12/14 is divided by 19.
16
Let s = 116 - 111. Suppose -s*v + 96 = -3*t, -v + t + 18 = -0*v. Calculate the remainder when 57 is divided by v.
15
Suppose -3*x + 618 =
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose -5*w - 4*p = -2*w - 130, 0 = -4*w - 5*p + 174. Is 13 a factor of w?
False
Let d = 19 - -93. Does 28 divide d?
True
Let c(w) = w**2 + 11*w + 1. Let j be c(-8). Let o be (-4)/(-8) - j/(-2). Let n = 20 + o. Is n a multiple of 9?
True
Let g = -49 + 133. Let u = g - 39. Suppose 5*y - u = -0*y. Is 8 a factor of y?
False
Let i(r) = 10*r**2 + 3*r - 5. Let p be i(5). Suppose -5*t - 4*q = -p, 2*t - q - 101 = -2*q. Is t a multiple of 12?
True
Let t = 84 + -46. Let o = -6 + 29. Let m = t - o. Is 15 a factor of m?
True
Let z(w) = 4*w - 1. Let k be z(4). Suppose -3*s + 18 = -k. Is 11 a factor of s?
True
Suppose 3*y - 6*y + 2*s + 16 = 0, 10 = 5*y + 5*s. Suppose -y*u + 406 = 150. Suppose 0*x - 4*x + u = 0. Is x a multiple of 6?
False
Let j(c) = c**2 + 8*c - 2. Suppose r - 13 = -0*q + q, -22 = q - 4*r. Is 5 a factor of j(q)?
False
Suppose 5*w + 343 = -3*n + 1322, 2*n - 658 = 2*w. Does 42 divide n?
False
Suppose -5*u + 2*u - 240 = -3*p, 160 = 2*p - u. Is 13 a factor of p?
False
Suppose -12*z = -6*z - 1512. Does 19 divide z?
False
Let v be -1 + (0 - -99*1). Let q = 180 - v. Is 35 a factor of q?
False
Let w(l) = 2*l**3 - 3*l**2 + 4. Let u be (3 + -2)/((-1)/(-3)). Let g be 2/u*(-81)/(-18). Does 11 divide w(g)?
False
Suppose -17 = 2*p - 105. Does 22 divide p?
True
Suppose 0 = -3*t, -3*j + t + 329 = -31. Is j a multiple of 30?
True
Let a = 5 - 0. Let d = 42 - a. Is d a multiple of 10?
False
Suppose s - 143 = -0*s. Does 13 divide s?
True
Suppose -445 = -5*q + h, 3*q - h + 6*h = 295. Is 30 a factor of q?
True
Let b be (-115)/(-30) + (-2)/(-12). Suppose b*f = -3*i + 28, 5*i - 10 = -2*f + 18. Suppose 28 - 8 = f*d. Is d even?
False
Suppose 3 = i - m, -2*i - 4*m = -0*m - 6. Suppose -62 = -i*h - j + 5*j, 0 = -3*h + 3*j + 60. Is 5 a factor of h?
False
Let l = 145 - 91. Does 18 divide l?
True
Suppose -5*s - 4*z + z = -149, 4*z = -2*s + 54. Suppose k = -1 + s. Does 15 divide k?
True
Suppose 3*a - 1 = 11. Suppose -5 = c, a*c + 3 = -2*b + c. Let w = b - -2. Does 4 divide w?
True
Let a(o) = o**3 + 8*o**2 + 2*o - 7. Is 9 a factor of a(-4)?
False
Let t be 1544/24 - 4/(-6). Suppose -6*y = -y - t. Is 3 a factor of y?
False
Suppose -26*x = -29*x + 120. Does 13 divide x?
False
Let r be (-5 + 1/1)*2. Is 7 a factor of 1*(1 - 2) - r?
True
Let v = 91 - 7. Does 28 divide v?
True
Suppose 3*t + k = -26, -4*t + 2*k - 25 - 3 = 0. Does 11 divide (t - -10) + (-20)/(-1)?
True
Suppose -5*z = q - 48, 0 + 6 = 2*z - 4*q. Is 6 a factor of z?
False
Is 1504/20 - 2/10 a multiple of 25?
True
Let t = 377 - 126. Is t a multiple of 24?
False
Suppose 53*q = 51*q + 182. Is 7 a factor of q?
True
Suppose -2*t + 62 + 98 = 0. Is 18 a factor of t?
False
Suppose -3*n + 0 = -s - 1, -s + 5 = 3*n. Is 3/n - (-24 - 4) a multiple of 18?
False
Let k(u) = -2*u + 1. Let p be k(-4). Suppose -p - 15 = -3*h. Is 4 a factor of h?
True
Let y(a) = -a**3 + 7*a**2 - 4*a. Is y(5) a multiple of 3?
True
Suppose 4*q = -0*q - 36. Let k be -2 - q - (-2)/(-1). Suppose -3*i + 43 = 2*i + 2*l, 5*l - 55 = -k*i. Is 7 a factor of i?
True
Let s(q) = -q**2 - 9*q - 2. Let x be s(-8). Suppose -40 = -5*v + v. Let p = v + x. Does 15 divide p?
False
Let c = -3 - -2. Let n be -2*2*c/2. Suppose -n = -2*j + 26. Is j a multiple of 11?
False
Let x be (4 - (-14)/(-4))*166. Suppose z - m = 95, 0*z - z = 2*m - x. Does 19 divide z?
False
Let p = -134 + 233. Does 9 divide p?
True
Let t(j) = j**2 - j + 48. Let i be (-14)/(-4)*8/14. Suppose -i*o = -3*z - 5*o, 4*z - 3*o = 0. Is t(z) a multiple of 19?
False
Let v(n) = 1 - 2*n**3 + n**3 + 0*n**3. Let f be v(-2). Does 11 divide 178/f + (-2)/(-9)?
False
Suppose -c - 616 = -4*u - 5*c, 2*u = 3*c + 333. Suppose u = 3*l + 21. Suppose -3*f + l = -11. Is 7 a factor of f?
False
Suppose -4*g + 25 = 9. Suppose 14 = g*v - 38. Let s = -8 + v. Does 5 divide s?
True
Suppose -o = 5*a - 5*o - 20, 2*a - 2*o = 10. Suppose x + a - 8 = 0. Is x a multiple of 7?
False
Let r(i) = 5*i + 4*i**2 + 3 - 2*i**2 - i. Does 13 divide r(4)?
False
Let r(d) = 19*d**2 + 2*d - 1. Suppose 3*z + 17 = 2*z - 3*y, -4*y - 21 = z. Let g be 6/5 + 1/z. Is r(g) a multiple of 7?
False
Let m = -9 - -13. Let g = m - 0. Is g even?
True
Let k be 3 + (1 - (5 + -3)). Is 27 - -4 - (-2)/k a multiple of 8?
True
Suppose 23*b - 234 = 22*b. Is b a multiple of 49?
False
Let t = -5 + 9. Suppose 9 = -t*r - 15. Is r/30 + 241/5 a multiple of 21?
False
Let q = -51 + 77. Is q a multiple of 8?
False
Suppose -3*n = 10*n - 3497. Is n a multiple of 15?
False
Suppose 58 = 3*n - 98. Suppose -2*c = 5*s - n, -5*c + 9*s + 130 = 4*s. Is
|
{
"pile_set_name": "DM Mathematics"
}
|
0*h**3 + 0*h**4 + 0*h. Calculate v(q(m)).
-20*m**4
Let o(q) = 1145802897*q**2. Let j(n) = 2*n. What is j(o(k))?
2291605794*k**2
Let g(i) = 40*i**2. Let k(c) be the first derivative of -c**4/12 - 62*c - 3. Let n(q) be the first derivative of k(q). Calculate g(n(j)).
40*j**4
Let v(u) = -2665*u. Let k(y) = 3*y**2 - 168. What is v(k(h))?
-7995*h**2 + 447720
Let o(u) = 2*u. Suppose 0 = -5*f - 23*f + 672. Let q(t) = 27*t**2 - f*t**2 + 12*t**2. Determine q(o(m)).
60*m**2
Let a(x) = 14*x**2. Let m(c) = -342*c**2 + 7*c - 320. What is m(a(b))?
-67032*b**4 + 98*b**2 - 320
Let x(i) = 21*i**2. Let z(v) = -104*v**2 - 223*v**2 + 211*v**2 - 251*v**2 - 150*v**2. Determine x(z(w)).
5613069*w**4
Let y(k) = 1129*k - 602. Let i(f) = -2*f + 3. Calculate y(i(j)).
-2258*j + 2785
Let a(x) = 674*x + 751*x - 1425*x - 3*x**2. Let j(m) = -724*m. Calculate a(j(p)).
-1572528*p**2
Let b(z) = -401*z + 9. Let n(u) = 4557*u. Calculate b(n(i)).
-1827357*i + 9
Let p(g) = 2*g**2 - g - 497. Let t(f) = -3*f + 4. Give p(t(q)).
18*q**2 - 45*q - 469
Let r(x) = -3*x. Let q(o) be the first derivative of 107*o**2/2 + 3*o + 5405. What is r(q(i))?
-321*i - 9
Let b = -667 + 693. Let d(a) = b + 26 + 28 + 10*a - 80. Let l(c) = 40*c**2. What is d(l(s))?
400*s**2
Let m(t) = -7861*t. Let j(r) = -4*r**2 + 1055*r - 1. Calculate m(j(p)).
31444*p**2 - 8293355*p + 7861
Let m(l) = -22*l**2. Let g(t) = -9274*t + t**2 + 9274*t. Determine g(m(p)).
484*p**4
Let q(h) = 57*h**2 - 3*h. Let x(t) be the third derivative of 7*t**5/60 + 6*t**2 - 8*t. Determine q(x(a)).
2793*a**4 - 21*a**2
Let u(c) be the second derivative of -2*c**4/3 + 422*c + 1. Let y(q) = -q + 8. Give y(u(v)).
8*v**2 + 8
Let r be (2 + 0/(-8 + 5))*1. Let t(s) = 86*s**r - 41*s**2 - 46*s**2. Let w(h) = -401*h**2. Calculate w(t(f)).
-401*f**4
Let b(v) = -101*v + 307*v - 100*v - 104*v. Let j(f) = -2*f**2 + 586*f. Calculate j(b(u)).
-8*u**2 + 1172*u
Let y(r) = r**2 - 16*r + 87. Let w be y(17). Let l(x) = -8 + 2 + w*x + 6. Let m(j) = 2*j**2. Give l(m(b)).
208*b**2
Suppose 295 = 4*g - 257. Let n(l) = g*l**2 - 63*l**2 - 73*l**2. Let y(c) = 12*c**2. What is n(y(f))?
288*f**4
Let a(q) = 3569972 + 32*q - 3569972. Let t(v) = 505*v**2. What is t(a(b))?
517120*b**2
Let p(n) = -3*n - 48. Let t(i) be the third derivative of 13*i**5/60 - 974*i**2 + 1. Give p(t(o)).
-39*o**2 - 48
Let n(r) be the second derivative of r**4/12 - r**3/2 + 6*r. Let m(p) = -p**2 + 4*p. Let w(z) = 3*m(z) + 4*n(z). Let d(y) = 14*y**2. Calculate w(d(j)).
196*j**4
Let n(y) = -4*y. Let a(h) = 70312*h**2 + 55. Give a(n(s)).
1124992*s**2 + 55
Let u(a) = 29*a**2 + 57*a**2 + 62*a**2 - 146*a**2. Let n(i) = 4*i**2 + 4*i - 139. Give n(u(b)).
16*b**4 + 8*b**2 - 139
Let z(b) = -2*b**2. Let p(o) = 3*o**3 - 2*o**2 - 4*o + 12. Let j be p(3). Let y(q) = j*q**2 + 84*q**2 - 76*q**2. Determine y(z(r)).
284*r**4
Let v(z) = 6*z**2. Let g(x) = 820823*x - 10. Calculate g(v(b)).
4924938*b**2 - 10
Let v(m) = 4128*m. Let r(d) be the third derivative of d**5/30 - 7*d**2 - 83. What is r(v(t))?
34080768*t**2
Let v(u) be the first derivative of -u**3/2 - 62*u + 20. Let h(t) be the first derivative of v(t). Let x(m) = -30*m. What is h(x(w))?
90*w
Let z(a) = -4*a**2. Let j(g) = 3*g + 8832 - 4275 - 4383. Determine j(z(w)).
-12*w**2 + 174
Let f(v) = -11*v. Let p = 3 - -4. Let u be (0 + 14/4)/((-725)/(-1450)). Let j(s) = p*s - u*s - s. Give f(j(a)).
11*a
Let t(v) = -2*v. Let q(m) = 11254*m - 4975*m - 12843*m - 2940*m. Calculate q(t(w)).
19008*w
Let n be (-1564)/(-276) + (-3 - 7/(-3)). Let m(x) be the third derivative of 0*x - 1/60*x**n + 0*x**3 + 0 - 3*x**2 + 0*x**4. Let t(h) = -5*h. Give t(m(o)).
5*o**2
Let p(i) = 915659*i. Let r(u) = -7*u. What is r(p(n))?
-6409613*n
Let y(k) = 3*k**2 + 2078. Let w(z) = -14*z + 1. Let c(j) = -114*j + 8. Let r(a) = c(a) - 8*w(a). Determine r(y(h)).
-6*h**2 - 4156
Let v(u) = 6*
|
{
"pile_set_name": "DM Mathematics"
}
|
(1 - 2 - 1)*(-d - d + 3*d) + 0*d - 3*d - 3*d.
-40*d
Expand -7*z**2 - 2*z**3 + 7*z**2 + (-z**3 - 2*z**3 + 4*z**3)*(15 - 34 - 23).
-44*z**3
Expand (3 + 0 + 0)*(2*x - 3*x + 2*x) + x + x - 4*x + 20*x + 32*x - 12*x.
41*x
Expand (-f**2 + 3*f**2 - 3*f**2)*(-f - 4*f + 3*f + (-51*f + 106*f + 4 - 51*f)*(3 - 1 - 4)*(2 + 1 - 5)).
-14*f**3 - 16*f**2
Expand (-2086*o - 59920227 + 59920227)*(-2 + 2 + 1).
-2086*o
Expand (-19*r - 42*r + 146*r)*(8 - 10 + 4).
170*r
Expand -4 + 4 - 37 - 4*z + 1 - 1 - z - 2*z - 4*z + 3*z + (2 - 2 - z)*(1 - 3 + 3) + 5*z - z - 2*z - 2*z + 0*z + 0*z - 3*z + 2*z + 0*z.
-10*z - 37
Expand (5 - 19 + 13 + 9*h)*(-h + 2*h + h)*(48 - 44 + 64).
1224*h**2 - 136*h
Expand 2*o**3 + 3*o - 3*o + (0*o + 0*o + o**2)*(-o + 2*o + 0*o) + (-8*o + 12*o - 3*o)*(-73*o**2 - 190 + 95 + 91).
-70*o**3 - 4*o
Expand 3*a**4 - 3*a**4 - 2*a**5 + (-395*a**4 - 242*a**4 + 459*a**4)*(4 - 4 + 2*a).
-358*a**5
Expand (-36 - 10 + 15)*(c**2 + 2*c**4 - c**2)*(0 + 1 + 0 + (-1 - 2 + 5)*(1 + 3 - 1) + 1 - 3 + 4).
-558*c**4
Expand (1 - 3*w - w + 3*w)*(-w + 3*w + 0*w + (1 + 1 - 1)*(2*w + 2 - 2) - 2*w + 3*w - 3*w - 6*w - 7*w - 4*w + 7628 - 7628 + 21*w).
-6*w**2 + 6*w
Expand (2389 + 874 - 11949 + 1537 - 8353)*(-m**2 + 2*m - 2*m).
15502*m**2
Expand (594 - 930 + 816 + 4 - 16 + 5 + 3 + 2 - 4 + (2 + 1 - 5)*(-2 - 1 + 1) + 0 + 0 - 1)*(i**3 - 2*i + 2*i).
477*i**3
Expand 0*h**3 - 3*h**3 + h**3 + (0 - 2*h + 0)*(0*h**2 - h**2 + 2*h**2) + (561*h - 3360*h**2 - 560*h + 3363*h**2 - 1627)*(-2*h - h + h).
-10*h**3 - 2*h**2 + 3254*h
Expand 2*y - 3*y + 3*y + (-5*y + 5*y + 2*y)*(0 + 1 + 1) - 88 - 83 + 172 + 3460*y.
3466*y + 1
Expand (-7 + 6*n + 7)*(587*n + 99848 - 99848 + (-n + 0 + 0)*(-4 + 1 - 1)).
3546*n**2
Expand (-16*m + 12*m - 2 + 5)*((0 + 4 - 6)*(-6 - 4 + 5) - 15 - 8 - 3).
64*m - 48
Expand 2*u - 2*u + 6*u + (-50 - 17 - 29)*(0*u - 2*u + 0*u).
198*u
Expand (1 - 3 + 4)*(-10612*k**2 - 20723466*k + 20723466*k)*(3 - 3 - 2*k**2).
42448*k**4
Expand (0 - 3 - 1)*(m + m + m + (11*m + 2 - 2)*(-1 + 5 - 5))*(-5 - 5*m + 3 + 3).
-160*m**2 + 32*m
Expand (3 + 1 - 2)*(-o - 1 + 1) + o + 4*o - o + (-2268 - 4996 + 9181)*(-1 - 2 + 5)*(5*o - 2*o - o).
7670*o
Expand (l**3 - 5*l**3 + 2*l**3)*(-7108*l - 5951*l + 11563*l)*(1 - 1 + 2*l + (0 + 1 - 3)*(l - 4*l + 0*l) + 0*l + 3*l - l).
29920*l**5
Expand (x**2 - x**2 - 4*x**2)*(-248*x - 590*x - 8*x)*(-1 + 3 - 1).
3384*x**3
Expand i**5 - 2*i**5 - 2*i**5 + (-4 - 15 + 11)*(4*i**3 - 3*i**3 - 2*i**3)*(-85*i**2 + 139*i**2 - 106*i**2) + (i - 2*i + 3*i)*(i**4 + 0*i**4 - 3*i**4).
-423*i**5
Expand -25*t + 6301 - 6299 + 755*t + (-4*t + 2*t - t)*(3 - 1 - 3).
733*t + 2
Expand (-3*h + 28*h + 14*h)*(-209*h - 280 + 280)*(-4 + 2 + 1).
8151*h**2
Expand (3 - 3 - 2*n**2)*(-12 - 1 - 52 + 1 - 3 + 3 - 5 + 3 + 3 + (3 - 3 - 2)*(2 - 1 - 3) - 2 - 2 + 3 - 1 - 3 + 3).
122*n**2
Expand (-5 + 5 + 2*b)*(b + 0*b + 5*b + 0 + 0 + 2*b + (b + 3 - 3)*(-2 + 4 - 1)) + (3 - 3 - 2*b)*(0 + 0 + b) + 2 + b**2 - 2.
17*b**2
Expand -69*x**2 - 9*x**2 - 127*x**2 + (8 - 8 + 5*x)*(2*x + 3*x - 7*x).
-215*x**2
Expand (0*u**2 + u**2 + u**2)*(-6*u - 3*u + 3*u)*(1 - 1 + 2) - 7*u**2 + 131226 - 131226 + 39*u**3.
15*u**3 - 7*u**2
Expand ((1 + 0 - 2)*(-3*v - 1 + 1) + 0*v + v - 2*v + 0 - 3*v + 0)*(35*v**3 - 26*v**3 + 48*v**3) - 2*v**4 + 2*v**4 - 4*v**4.
-61*v**4
Expand (-30*c**3 + 34*c**3 - 82*c**3)*(-20*c - 5*c - 29 + 30).
1950*c**4 - 78*c**3
Expand (0*f + 2*f - f - 1)*(-2*f + 0*f + f)*(0 - 6 + 4)*(-1143 + 1354 + 5298) - f**2 - 2*f**2 + 0*f**2.
11015*f**2 - 11018*f
Expand -2845*z + 15*z**2 + 2 + 2845*z + (-2*z + 0*z + 4*z)*(-z + 0*z + 0*z) + 2*z**2 - z**2 + 2*z**2 - 2*z**2 - 3*z**2 + 3*z**2.
14*z**2 + 2
Expand -2*l + l - l + (-2 + 5 - 2)*(-58*l + 58*l - 52*l) + 6*l - l + 2*l + (-1 + 1 + 2*l)*(-3 + 1 +
|
{
"pile_set_name": "DM Mathematics"
}
|
p**2 - 20*p - 20. Give d*u(v) + j*m(v).
-4*v**3
Let z(f) = 736*f**2 - 828*f + 138. Let g(y) = y**2 + 6*y - 1. Determine -138*g(w) - z(w).
-874*w**2
Let z(v) = -5*v**3 + 3*v**3 + 4*v**3 - 5. Let w(m) = -m**3 + 2. Let u(d) = 2*d + 17. Let b be u(-8). Suppose -5*h + b + 9 = 0. Calculate h*z(i) + 5*w(i).
-i**3
Let c(u) = -u**2 + 1. Let p(r) = 53*r + 29. Let o be p(-1). Let x(f) = -40*f**2 + 24. What is o*c(b) + x(b)?
-16*b**2
Let i(r) = -4*r. Let c(j) be the second derivative of -7*j**3/2 - j**2/2 + 9*j - 2. Calculate 2*c(g) - 11*i(g).
2*g - 2
Let j(m) = m**2 - 4*m - 4. Suppose -f + 30 = 5*f. Let u(a) = f + 1 - 5*a - 11 + 2*a**2. What is 4*j(n) - 3*u(n)?
-2*n**2 - n - 1
Let z(g) = -4*g**2 - 10*g. Let x(d) = 4*d**2 + 8*d. Calculate 6*x(r) + 5*z(r).
4*r**2 - 2*r
Let a(q) = q**3 - 1. Let s(o) = -o**3 - 1. Let n = -614 + 615. Give n*a(b) - s(b).
2*b**3
Let p(w) = 0*w - 2*w - 2*w + 355 - 357. Let d(y) = -y - 1. Let l = 1 - 2. Give l*p(a) + 2*d(a).
2*a
Let q(i) = -2*i. Let x = -49 + 48. Let z(v) = -3*v - 2 + 1 + 4*v. Let j be z(x). Let c(h) = h**2 - 6*h. Give j*c(s) + 7*q(s).
-2*s**2 - 2*s
Let p(m) = -8*m**3 + m - 1. Let d(w) = -w**2 - 20*w + 123. Let u be d(-25). Let n(k) = -k**3 + k - 1. Determine u*p(t) + 2*n(t).
14*t**3
Let s = -2 + 10. Let c(g) = 2*g - 11*g + 10*g - 1 - 5. Let z(j) = -2*j + 17. Give s*c(m) + 3*z(m).
2*m + 3
Let d(z) = 3*z. Let p(k) be the second derivative of -2*k**3/3 - k. Let x = -264 + 178. Let v = x + 82. Give v*p(m) - 5*d(m).
m
Let y be (2/(-3))/(-1)*480/10. Let c = -37 + y. Let q(n) = n**2 + 2*n. Let u(i) = 2*i**2 + 4*i - 1. Calculate c*q(h) + 2*u(h).
-h**2 - 2*h - 2
Let x(c) = -c**2 - 3. Let p(m) = 7*m**2 - 74*m + 17. What is -p(i) - 6*x(i)?
-i**2 + 74*i + 1
Let w(k) = -5*k**3 - k**2 + k. Suppose 3*s + s = 36. Let i(c) = c**2 - 8*c - 2*c**2 + s*c - 4*c**3. Give 6*i(h) - 5*w(h).
h**3 - h**2 + h
Let l(h) = -295*h**2 + 3*h - 3. Let o(a) = 40710*a**2 - 413*a + 413. What is 413*l(q) + 3*o(q)?
295*q**2
Let o(b) = -9*b + 132. Let j(t) = 2*t - 4. Determine 2*j(z) + o(z).
-5*z + 124
Let u(k) = 7*k + 11. Let g(c) = 4*c + 3. Let z(l) = 5*l + 3. Let t(s) = 3*g(s) - 2*z(s). Let r = 13 + 9. Let j be 12*((-3)/2 - -1). What is j*u(v) + r*t(v)?
2*v
Let s(z) = 9*z**2 + 43*z - 2. Let y(v) = -26*v**2 - 134*v + 5. What is -11*s(c) - 4*y(c)?
5*c**2 + 63*c + 2
Let r(h) be the first derivative of 7*h**2/2 + h - 19. Let u(c) be the second derivative of 2*c**3/3 - 6*c. Suppose -n + 10 = -3*n. What is n*u(q) + 3*r(q)?
q + 3
Let v(u) = -u**2 + 1. Let t(d) = -28*d**2 + 35. Suppose 5*q + 45 = 4*q + 5*b, -4*b = 2*q + 62. Calculate q*v(m) + t(m).
7*m**2
Suppose -9 = -26*w + 17*w. Let c(a) = 4*a**2 + a + 3. Let b(k) = -k**2 - 1. Calculate w*c(n) + 5*b(n).
-n**2 + n - 2
Let p(n) = 2*n + 2. Let o(f) = -23*f + 3. What is -o(b) - 3*p(b)?
17*b - 9
Let m(f) = f**2 + 3*f**2 + 4*f + 0*f. Let k(j) = 3*j**2 - 3*j + 7*j - j. Suppose -12 + 2 = -2*g. Calculate g*m(v) - 7*k(v).
-v**2 - v
Let k be (-1 - -12) + (4 - 8). Let q(v) = -3*v - 3*v + 2*v + k*v**2 - 4 - 2*v. Let m(x) = 4*x**2 - 3*x - 2. Give -5*m(a) + 3*q(a).
a**2 - 3*a - 2
Let j(u) = -3*u + 4. Let w be 24/3 - (-4 + 3 + -2). Let a(o) = -7*o - 8*o - 7*o + w + 14*o. Give 6*a(g) - 17*j(g).
3*g - 2
Let h(x) = -2*x**3 - 6*x**2 + 2. Let d(c) = 1. Let n(g) = g**2 + 17*g - 17. Let f be n(1). Calculate f*h(j) - 2*d(j).
-2*j**3 - 6*j**2
Let n(h) = -4*h**2 - 5*h - 2. Let q(o) = 5*o**2 + 6*o + 1. Suppose 43 = -23*f - 95. What is f*n(a) - 5*q(a)?
-a**2 + 7
Let g(j) = -7. Let v(n) = 5. Let f(h) = -3*g(h) - 4*v(h). Let r(i) = i - 3. Calculate 3*f(w) + r(w).
w
Let b(
|
{
"pile_set_name": "DM Mathematics"
}
|
Let x = -10 + 11.7. Let t = 255 - 256.92. Let w = t + x. What is w rounded to 1 decimal place?
-0.2
Let t = 2 + -0.5. Let j = -1.61 + t. Let c = j + 0.110038. Round c to five decimal places.
0.00004
Let z = 277 + -276.8818. What is z rounded to two decimal places?
0.12
Let u = 33171132.0000065 - 33171115. Let m = -5.6 - 11.4. Let r = u + m. What is r rounded to 6 dps?
0.000007
Let y = -8 + 10. Suppose 0 = -3*h - y*i + 648012, 2*h + 85805 = 2*i + 517823. Let g be h/(-18) + (-2)/(-6). What is g rounded to the nearest ten thousand?
-10000
Let z = -57.0973 + 57.1. What is z rounded to 3 decimal places?
0.003
Let n = -1.5 - -2.7. Let r = -1.1 + n. Let p = -0.10000112 + r. Round p to seven dps.
-0.0000011
Let c = -98393.158 + 98473. Let a = -0.158 - c. Let z = a + 79.961. What is z rounded to two decimal places?
-0.04
Suppose 0 = 5*g - 20, 5*a = 2*g - 0*g - 10058. Round a to the nearest one hundred.
-2000
Suppose -2*s + h + 52 = 0, -5*s + 3*h - 5*h + 139 = 0. Let i be 850003/5 - s/45. What is i rounded to the nearest 10000?
170000
Suppose 4*m + 4 = 0, 3*b + 2 = 5*m - 2. Let y(s) = 2*s + 5. Let c be y(b). Let p(l) = 211*l**2 + 2*l + 1. Let n be p(c). Round n to the nearest 100.
200
Let m = -1.68 - 50.32. Let v = 562326018.9999906 + -562325967. Let d = m + v. Round d to 6 decimal places.
-0.000009
Let d = 177097 + 53203. What is d rounded to the nearest 100000?
200000
Let t = -0.71614336 - 28.2838562. Let n = -26.2 + -2.8. Let i = t - n. Round i to seven dps.
0.0000004
Let r = 29.114354 - -128.882456. Let o = 158 - r. What is o rounded to four dps?
0.0032
Let u = 5.553 - -0.047. Let k = -5.5906 + u. What is k rounded to three dps?
0.009
Let g = -1416.1 - -1424. What is g rounded to the nearest integer?
8
Let t = -0.1 + 1.1. Let m = 0.896970253 - -0.103029327. Let c = m - t. What is c rounded to seven dps?
-0.0000004
Let l = 95.3 - 95.30094. What is l rounded to 4 dps?
-0.0009
Let y(w) = -8*w**3 + 3*w**2 + w - 10. Let f be y(-6). What is f rounded to the nearest 100?
1800
Let f = 239684889 + -132384889. Round f to the nearest one million.
107000000
Let z = -385 + 384.9188. Let v = z + -0.3018. Let g = -0.252 - v. What is g rounded to 2 decimal places?
0.13
Let x be (-2)/(10/(-1565))*-1. Let t = -192 - x. Round t to the nearest ten.
120
Let g = -12.87 + 14.656. What is g rounded to 1 decimal place?
1.8
Suppose -4*h = -0*h - 2*n - 54, -h - 4 = -4*n. Let u be h/40 + (-11200002)/5. Round u to the nearest 1000000.
-2000000
Let w be 627034/(-6) - 1/3. Let s(h) = 3609*h + 77. Let b be s(-19). Let p = w + b. What is p rounded to the nearest ten thousand?
-170000
Let b = 209 + -931. Let y = -621.4 - b. Round y to the nearest ten.
100
Let h be 2/1 + (4 - 22400006). What is h rounded to the nearest one million?
-22000000
Let w = 794.0663 + -794. What is w rounded to 2 dps?
0.07
Let q = -22 - -20.7. Let t = q + 2.1. Let z = t - 0.802. Round z to three dps.
-0.002
Let j = 1876894.400095 + -1876889. Let k = -5.4 + j. Round k to five dps.
0.0001
Let u = -7.6272 - -7.44. Round u to 1 decimal place.
-0.2
Let h = -0.271 - -0.051. Let l = -0.2175 - h. Round l to 3 decimal places.
0.003
Let q = -0.06 + -1.54. Let h = q + 4.6. Let a = -2.9996 + h. What is a rounded to three dps?
0
Let a = 1287.47 - 1276. Round a to the nearest integer.
11
Suppose -4*b = -b - 123750. Let a(c) = c**2 + 6*c + 4. Let n be a(-3). Let q be (80/(-3))/(n/b). Round q to the nearest 100000.
200000
Let l = 13650 + -13650.07949. Round l to 2 decimal places.
-0.08
Let d = -157.12 - -159. What is d rounded to the nearest integer?
2
Let v = 0.004 - 0.00314. Round v to 4 decimal places.
0.0009
Let z = -0.035262077 + 0.03526. What is z rounded to six decimal places?
-0.000002
Let t = 209.8986 - 210. Let p = -0.1 + 0.2. Let x = t + p. Round x to three decimal places.
-0.001
Suppose -15*q = -10*q + 84950000. Round q to the nearest 1000000.
-17000000
Let f = 31 + -21. Let n = -9.9956 + f. What is n rounded to three dps?
0.004
Let r = -9.7 - -29.5. Let c = r + -19.913. What is c rounded to two decimal places?
-0.11
Let a = -64941 - -97534. Let u = 32579.9944 - a. Let w = -13 - u. Round w to 3 dps.
0.006
Let h = 98 - 193. Let i = -95.00000053 - h. What is i rounded to seven dps?
-0.0000005
Suppose 157308157 + 75931843 = 28*n. What is n rounded to the nearest 1000000?
8000000
Suppose -202 = -3*x + 29. Suppose 0 = -4*t + 35 + x. Suppose t*a - 25*a = -9000. What is a rounded to the nearest 1000?
-3000
Let n = 45.398165 - 45.4. Round n to three decimal places.
-0.002
Let f = -232.019 + 232. Round f to two decimal places.
-0.02
Let s = 0.76 - -1.33. Let t = s - 2.09000213. Round t to 7 decimal places.
-0.0000021
Suppose -t + 0*t + 4 = 0. Suppose i + 7500000 = t*i. Round i to the nearest one million.
3000000
Let u(a) be the first derivative of 5*a + 3*a**2 + 4/3*a**3 - 2 + 449/4*a**4. Let v be u(-3). Round v to the nearest one thousand.
-12000
Let h = 8748 + -7761.2. What is h rounded to the nearest ten?
990
Let b = 49.3005123 + -9.3005122. Let l =
|
{
"pile_set_name": "DM Mathematics"
}
|
e closest to -1 in 6, -2, 0.2?
-2
What is the closest to -1 in 1.3, 2/95, -5?
2/95
What is the closest to -0.7 in -8/5, -2, -4/5, 0?
-4/5
Which is the nearest to -0.1? (a) 227/4 (b) 0.2 (c) 3 (d) -5
b
Which is the nearest to -1/735? (a) 3 (b) -0.5 (c) 0.3
c
Which is the nearest to 0.1? (a) 1/7 (b) -11 (c) 50 (d) -1/2
a
Which is the nearest to 2? (a) -2/3 (b) 0.4 (c) -0.048
b
What is the closest to -1/21 in -0.1, -0.3, 3, 1?
-0.1
Which is the nearest to -0.1? (a) 4 (b) -1/4 (c) 5
b
What is the nearest to 0 in 4.4, -4, 1, 0?
0
Which is the closest to -90? (a) -1 (b) 0.4 (c) -5 (d) -4
c
What is the closest to 0 in 6.03, 0, 4/3, 1/3?
0
What is the nearest to -2/13 in 3, -5, 2/9?
2/9
What is the closest to 1/8 in 3, 2, -1/2, 0?
0
Which is the nearest to 1? (a) 6 (b) 2/7 (c) -0.3 (d) 1
d
Which is the nearest to -0.6? (a) 1/57 (b) 0.1 (c) 1/5
a
What is the closest to -0.16316 in -0.2, 0.1, 5?
-0.2
What is the closest to 0.08 in 28, 2, 3?
2
What is the nearest to -2/9 in 0.2, -0.17, -0.3, -4?
-0.17
Which is the nearest to 0.06? (a) -4 (b) -53 (c) 1 (d) 5/3
c
Which is the closest to -0.2? (a) -0.123 (b) 1/3 (c) -1/4 (d) 0
c
What is the closest to 3 in -0.2, 2/125, -1?
2/125
What is the closest to -0.2 in 3, -1, 1/2?
1/2
Which is the closest to 0? (a) 1/4 (b) 114 (c) 1/7
c
Which is the nearest to 5? (a) -4 (b) -3/2 (c) -5 (d) 0.3
d
What is the nearest to 1/2 in 14, 2/3, -3?
2/3
What is the closest to 0 in 2, -3, -3/5, 0.4?
0.4
Which is the closest to 0? (a) 0.2 (b) -4 (c) 0.061
c
Which is the nearest to 0.1? (a) 0.5 (b) 168/5 (c) -5
a
Which is the nearest to 0? (a) 102 (b) 3 (c) 2 (d) 1/2
d
What is the closest to 5 in 1/57, -5, -4?
1/57
Which is the nearest to -0.03? (a) -3 (b) 87 (c) -2 (d) -0.2
d
Which is the closest to -0.32? (a) 2 (b) 1/8 (c) -5
b
What is the nearest to 4 in 2, -2/15, 0.5, -1?
2
What is the nearest to 1 in 0, 0.7, 0.4, -2?
0.7
Which is the nearest to 0.1? (a) 4 (b) 3/5 (c) -0.14
c
Which is the closest to -2/3? (a) 0.1 (b) 3 (c) 374/7
a
What is the closest to -1 in 1/3, -3, -0.5, 1/4?
-0.5
Which is the closest to -0.3? (a) 3/7 (b) -3 (c) -1
c
Which is the nearest to -1/5? (a) 3 (b) -4 (c) 3/7 (d) 5
c
Which is the nearest to -1/2? (a) -8 (b) -1 (c) -3
b
What is the nearest to -1 in 5, 32, -3/2?
-3/2
Which is the nearest to 2/7? (a) -7 (b) -4.8 (c) -2
c
What is the closest to 0.2 in -1/4, 3, -616?
-1/4
What is the closest to -16 in 2/7, 1, -3?
-3
What is the nearest to -1/4 in 1, 4, 6, -1/10?
-1/10
Which is the closest to -17? (a) 0 (b) 20 (c) 0.1
a
What is the closest to 0 in -4, -0.22, 5?
-0.22
What is the closest to 1/3 in 2/9, 5, -0.0333, -4?
2/9
Which is the closest to 1? (a) 57 (b) -2/7 (c) 1 (d) -4
c
What is the nearest to 9/10 in -2/5, 0.5, -5, 3?
0.5
What is the nearest to 1 in 2, 75, -3, 0.3?
0.3
Which is the nearest to 2.7? (a) 3 (b) -2/5 (c) -6
a
What is the nearest to 2 in -2, -0.2, 0.3, -3?
0.3
Which is the closest to 1? (a) 5 (b) -1/3 (c) 2 (d) -0.3
c
What is the nearest to -2 in 2, 4, -0.1, 5?
-0.1
What is the closest to 1 in 31/2, -2, -2/23, -50?
-2/23
Which is the closest to 0.08? (a) 3 (b) 2/11 (c) 37
b
Which is the nearest to -1? (a) -3 (b) 28 (c) 0.4
c
What is the closest to 3 in 0.1, -16, 2/5?
2/5
Which is the closest to -0.2? (a) 0 (b) -1 (c) 6 (d) -0.1
d
Which is the closest to -7? (a) -1 (b) 4/7 (c) 0.1
a
Which is the nearest to -9? (a) -1/4 (b) -0.4 (c) 1 (d) -1/12
b
What is the nearest to 1 in -0.2, -5, -181?
-0.2
What is the nearest to -1/3 in 2, 0.4, 1/7, -3?
1/7
What is the nearest to -7/16 in 2/17, 2, 0.5, -0.3?
-0.3
Which is the closest to 2/9? (a) 0.031 (b) -3/5 (c) 2
a
Which is the nearest to -1? (a) -4 (b) -0.5 (c) -477/2
b
Which is the nearest to -0.479? (a) 1/4 (b) -2/9 (c) -3
b
Which is the closest to 0? (a) -5 (b)
|
{
"pile_set_name": "DM Mathematics"
}
|
(-656)/24)*1/8. Let a = -2/3311 - -122579/119196. Let n = -7/9 + a. What is the closest to n in 0.5, h, -1?
0.5
Let d = -0.3 - -0.29. Let g be (10/(-25))/((-871)/335). Let y = 0 - -0.3. What is the nearest to 3 in y, g, d?
y
Let i = 0.23171 - -0.06829. What is the nearest to 0.3 in i, -0.3, 43, -0.1?
i
Let a = -945 - -633. Let c = 309.904 + a. Let b = c + 0.096. What is the closest to b in -3/4, -5, 0.3?
-3/4
Let s be ((-15)/50)/(2/8). Let b be 5916/(-15) + ((-198)/(-30))/(-11). Let n = b + 1183/3. What is the nearest to -1 in n, 2/11, s?
s
Let y = 42 + -42.03. Let s = 7 + -12. Let l be (4 + s + 2)/(-5). Which is the nearest to 0? (a) 7 (b) l (c) y
c
Let i be -6*6/(-63)*7/6. Let b = -0.3 + -0.1. Suppose 8948*k - 8946*k + 2 = 8. What is the nearest to k in i, b, -2?
i
Suppose -26*d + 36*d = 0. Let g be 247/(-38) + (-2 - -8). Which is the nearest to d? (a) -2.2 (b) -0.1 (c) g
b
Suppose 4*d + 4*i + 143 = 103, -5*i - 47 = 2*d. Suppose 3*t = -t + 4. Which is the closest to d? (a) -4 (b) t (c) -0.02
c
Let d = -147.804 + -0.196. Let n = d + 148. Which is the nearest to -0.2? (a) -1.14 (b) n (c) 5
b
Let i = -3637.9 - -3638. What is the nearest to -2/29 in 1/4, 5.1, i?
i
Let d = -3/2275 - -2284/6825. What is the nearest to -0.1 in -1, 0.1, d, -2?
0.1
Suppose -4*y - 5*n + 11 = 0, 3*y - n + 15 = 3*n. Let i = 788 - 788.9. Which is the closest to -0.1? (a) 4 (b) i (c) y
b
Let y be (57/(-18))/(11/(64911/28)). Let o = y + 667. What is the closest to -2 in o, -3, -9?
-3
Let l be 79/(-11) - 74/(-407). What is the nearest to 1 in 4, -10, l?
4
Let z = 22/25 - 2/25. Let q = 2271 - 2272. Which is the closest to q? (a) 0.3 (b) -8 (c) z
a
Let z = 0.4 + 0.1. Let s = -132 + 127. Let w(o) = -27*o - 215. Let t be w(-8). Which is the closest to t? (a) z (b) -5/3 (c) s
a
Let h = 0.56169 - 4.56169. Let l = -5 + 8. Let v be (-3)/(-14) - 2/(-7). Which is the nearest to 2? (a) v (b) h (c) l
c
Let w be ((-5)/(-40))/((-1)/6). Let k = 1.6 - 1.785. Let j = -0.085 - k. What is the closest to -7/3 in 1/8, w, j?
w
Let f = 20132 + -20126. What is the closest to f in 1, -3, -20?
1
Let h be ((-8)/30)/(28 - 5456/198). Let i = -0.3 - -0.4. Let m = 0.1 + i. Which is the closest to m? (a) -0.5 (b) h (c) 2
a
Let w(c) = -219*c - 2849. Let x be w(-13). Let b = -2 - -6. What is the closest to x in b, -16, -3?
-3
Let w = -758 + 767. What is the nearest to -2 in 2/9, w, -0.12?
-0.12
Let b be (-1429)/(-8) - (-9 - (-9 - -3)). Let d = b + -182. What is the nearest to 2/3 in -4, d, 0.3?
0.3
Let g = -19.6316 - 3.0984. What is the closest to 0 in g, 1/6, 3, -2?
1/6
Let p = -170 - -174. Let u = 3 + 60. Let o = 59 - u. What is the nearest to 1 in o, p, 0.06?
0.06
Let p = 0.4 - 0. Let j be ((-6)/21 + (-5)/7)*5. Let v be (8/32)/(j/15). Which is the closest to 0.4? (a) v (b) p (c) 2/3
b
Let k be (-2)/2 + (1 - 1). Suppose -7*j + 181 = -85. Suppose -15*s = j + 37. What is the closest to -4 in s, k, -0.4?
s
Suppose k - 2 = 0, -3*k - 17 = -4*d - 27. What is the nearest to 16/5 in 0.5, 0.6, -0.1, d?
0.6
Let z be -8*(-6)/(-20) - -2. Let u = 75 - 93.3. Let j = -18.5 - u. Which is the closest to z? (a) j (b) 0.06 (c) 0.2
a
Let f = -8 - -7.9. Let z = -118 + 198. Let n = -80 + z. What is the closest to n in -0.4, -5/2, f?
f
Let t = 1 - 1.5. Let p = -82/5 - -16. Which is the closest to p? (a) t (b) -1 (c) -11
a
Let y = 86.2592 - 0.1092. Let f = -85 + y. Let p = f - 0.65. Which is the closest to 0? (a) 5 (b) p (c) -0.2
c
Let q be 5/(-3 + 50/15). Suppose 6*w + 3*z - 59 = 4*w, 0 = 3*z - q. Let p = -20 + w. Which is the closest to p? (a) -1/3 (b) -7/5 (c) 4
c
Let y be (1625/13)/5*(-8)/(-70) + -4. What is the nearest to 2/13 in -2, y, 3?
y
Let f = -0.2 - -0.6. Let l = f - 0.3. Let g = 0.137 + -0.037. What is the closest to l in -1, g, 2/7?
g
Let u = -4/11 - -27/44. Let z(y) = y**2 - 97*y - 2. Let i be z(97). Which is the nearest to i? (a) u (b) 3/2 (c) 22/9
a
Suppose -35*x + 45*x - 40 = 0. Let i = -5189/5 + 1037. What is the closest to 0 in i, 2/13, x, -2?
2/13
Let k be (-88)/(-2) - (0 + 2 + 2). Suppose 0 = 3*w + 4*m - 18, k*m = -3*w + 44*m - 6. Which is the nearest to -4/9? (a) w (b) -0.2 (c) 2/3
b
Let w = -0.008 + 272.008. Let c =
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 7*p**2 - 11*p**2)*(3*p - 1 - 4*p - 2*p) to w + c*p**3 + g*p**2 + a*p and give c.
39
Rearrange -28 + 29 + 38*d + d to q*d + g and give q.
39
Rearrange -14*f - 19*f - 16*f + 5 + 45*f to j + m*f and give m.
-4
Express -14 + 35*k - 60*k - 3*k**2 + 25*k as c*k + j + f*k**2 and give f.
-3
Rearrange 4*o**2 - 2*o**2 + 9 - 4*o**2 + o**2 to j + r*o**2 + l*o and give r.
-1
Rearrange 23*y - 15*y - 18*y to w*y + b and give w.
-10
Express 0 - 2*j**2 + 0 + (j - 2*j**2 - j)*(0 + 1 - 2) - 2*j**2 + j**2 - 3*j**2 in the form y*j**2 + q + n*j and give y.
-4
Express (-1 - 6 + 4)*(-1 + 1 - 4*x)*(3 + 0 - 5) as l + z*x and give z.
-24
Express (6*b - 2*b + 13*b)*(-2 + 6 - 4*b + 5*b) as h*b + m*b**2 + l and give l.
0
Express -2*t**2 - t**4 + 17*t**3 - t + 2*t**2 + 3 - 16*t**3 as q*t + y*t**2 + k*t**3 + f + a*t**4 and give k.
1
Rearrange -3*p**2 - 6 - 4*p**2 + 4*p**2 + 4 to the form i + l*p**2 + w*p and give i.
-2
Express 1 + 3*f**2 - 1 - f**3 + 0 - 3*f as p*f + r + t*f**3 + v*f**2 and give p.
-3
Rearrange (2 - 3*d - 2)*(-1 + 2 - 2) + 13*d + 5*d - 33*d to the form l + a*d and give a.
-12
Express -42*x + 48*x + 37*x as c*x + d and give d.
0
Express 5*v - 1 + 3*v + 3*v as i*v + y and give i.
11
Rearrange a**4 + 3 - 2*a**4 + a**2 + 0*a**4 + 5*a**4 - a to x*a**3 + q*a + b*a**2 + r*a**4 + m and give m.
3
Express 3 - 127*j**2 + j**2 - 3 as d + x*j**2 + n*j and give x.
-126
Rearrange -12*f + 6*f - 8*f to o*f + k and give o.
-14
Express 0*i**3 - i**3 - i**3 + (-3*i + 2*i + 0*i)*(13*i**2 + 0 + 1 + 0) in the form c*i**3 + v*i + s + f*i**2 and give f.
0
Express (5 + o - 5)*(4*o - 2*o + o) + o**2 + o**2 + 0*o**2 + 16*o - 16*o + 3*o**2 in the form l*o**2 + t + z*o and give z.
0
Rearrange (1 - z**2 - 1 + 2*z**3)*(0*z - z - 6*z) to the form n*z**2 + a*z + l*z**3 + o + y*z**4 and give l.
7
Rearrange (-11*f - 6866 - 4*f + 6869)*(-3*f + 4*f - 2*f) to z + o*f**2 + n*f and give n.
-3
Express 3*k + 58*k + 290*k - 144*k in the form s*k + y and give s.
207
Rearrange -i**4 + 3*i**2 - 3*i**4 + 1 + 6*i**4 + i**2 + i to the form q + j*i**2 + t*i + b*i**3 + f*i**4 and give j.
4
Rearrange 550*t - 550*t - 99*t**2 to n*t + a*t**2 + r and give a.
-99
Rearrange (-d**2 + 2*d**2 + d**2)*(d + 2 - 2) + (36 - 4*d - 19 - 7)*(d**2 + 2 - 2) to m*d**3 + z*d + s*d**2 + n and give s.
10
Express 17*t - 23*t - 4 + 4*t**2 + 4 in the form v*t + y*t**2 + z and give v.
-6
Express 0*m - 59*m**2 + 56*m**2 - 4*m - 5 as r + d*m**2 + a*m and give d.
-3
Rearrange (28*o**3 - 15*o**3 + 9*o**3)*(2*o - o + 0*o) to the form g*o**2 + v*o**4 + x*o**3 + u + z*o and give v.
22
Rearrange (3*s + 2*s - 3*s)*(4*s**2 - 4 + 4) + (1 - 1 + s)*(-3 + 2*s**2 + 3) + 2*s**3 + 0*s**3 - 4*s**3 to the form u*s + p + h*s**3 + i*s**2 and give h.
8
Express -7*q**2 - 9*q**2 + 2*q**2 in the form o*q**2 + r*q + v and give o.
-14
Express 6*w + 13*w + 6*w - 2*w**3 + w**3 in the form g + z*w**2 + v*w**3 + s*w and give s.
25
Rearrange (3*c - 3*c - c)*(-334*c + 719*c - 167*c) to the form g*c + l + o*c**2 and give o.
-218
Express 2 - 49*r + 75*r - 2 in the form w*r + j and give w.
26
Express (-2*g - 7*g + 4*g)*(-2 + 2 - 2*g) + 3*g - 3*g + g**2 + (3*g - g + g)*(1 - 1 - g) in the form b*g + i + k*g**2 and give k.
8
Express -2*u**2 + 2 - u**3 - 2*u**2 + 2*u**2 in the form i + k*u**3 + b*u**2 + o*u and give k.
-1
Rearrange 32 - w - 32 + 2*w**3 to the form x*w**3 + p*w**2 + l + v*w and give x.
2
Rearrange (0*i + 3*i + 0*i)*(1 - 13 + 3)*(3*i - 5*i + 4*i)*(0*i**2 - i**2 + 3*i**2) to n*i + b*i**2 + l*i**4 + h + f*i**3 and give l.
-108
Express (21 + 43 - 5)*(3*a - a + 0*a) as v + g*a and give g.
118
Express 28*v**2 - 86*v + 86*v in the form y + h*v**2 + t*v and give h.
28
Rearrange 0*f - 3*f**4 - 3*f**2 - 7*f + f**3 + 11*f + f**4 to w + h*f**3 + o*f**2 + g*f + y*f**4 and give g.
4
Rearrange (0 + 2*x + 0)*(-2*x - x + 2*x + 1) to the form h*x**2 + g + q*x and give h.
-2
Rearrange -x**2 + 23 + x**3 + 20 - 51 to the form q + k*x**3 + n*x + u*x**2 and give q.
-8
Rearrange 10*l**2 + l**2 + 12*
|
{
"pile_set_name": "DM Mathematics"
}
|
g(o) - w(o)?
4*o**3 - 15*o**2 + o + 1
Let z(t) = 144*t**2 - 27. Let h(s) be the second derivative of s**2 - 93*s - 11/12*s**4 + 0*s**3 + 2. Calculate 27*h(p) + 2*z(p).
-9*p**2
Let r(c) = -62*c + 2. Let j(k) = 170*k - 7. Give 6*j(v) + 17*r(v).
-34*v - 8
Let y(l) = -3*l**2 + 5 - 6*l**2 - 8*l + 3 - l**3. Let d be y(-8). Let c(r) = 8*r + 2*r**2 - 5*r - 47 + 81 + 5*r - 42. Let q(w) = w - 1. What is d*q(j) - c(j)?
-2*j**2
Let p(k) = 9190*k**2 - 13*k - 39. Let z(m) = 4597*m**2 - 6*m - 18. Calculate 6*p(b) - 13*z(b).
-4621*b**2
Let n = 97 - 97. Suppose n = 3*h + 4*s + 11, -2*h + 2*s = 6 - 8. Let k(y) = -4*y - 2. Let f(c) = -3*c + 0*c + 4*c. Determine h*k(w) - 6*f(w).
-2*w + 2
Let x(i) = i**3 - 75*i**2 - 3*i + 4. Let m(j) = 77*j**2 + 3*j - 3. Calculate 4*m(o) + 3*x(o).
3*o**3 + 83*o**2 + 3*o
Let w(l) = -31*l**3 - 17*l + 3. Let z(j) = -11*j**3 - 6*j + 1. Let k(g) = 6*w(g) - 17*z(g). Let v(t) = -9*t**3 - 4*t - 11. Determine 22*k(y) + 2*v(y).
4*y**3 - 8*y
Let f = 182059 - 182060. Let m(b) = -4*b - 24. Suppose -1 + 3 = k. Let x(v) = 0 - 1 + k. Calculate f*m(s) - 24*x(s).
4*s
Let k(r) = 76*r**3 - 10*r**2 + 19. Let t(u) = -63*u**3 + 10*u**2 - 18. Determine 5*k(m) + 6*t(m).
2*m**3 + 10*m**2 - 13
Let f(p) = 43 - 93 + 49. Let i = 40 - 35. Let d(l) = 2*l + 5. Let c(r) = -r. Let a(z) = -2*c(z) + d(z). Determine i*f(q) + a(q).
4*q
Let y(q) = 4997 - 2494 + q - 2500 - 14*q. Let c(m) = -4*m + 1. Determine -14*c(u) + 4*y(u).
4*u - 2
Let c(g) = 6*g**3 + 4*g**2 + 3. Let r(o) be the second derivative of 19*o**5/20 + 11*o**4/12 + 4*o**2 + 1000*o. Give -8*c(m) + 3*r(m).
9*m**3 + m**2
Let m(q) = -10*q**2 - 7*q + 51. Let b(x) = -3*x + 2520 - 3*x**2 - 2503 + 0*x**2 + x. Give 7*b(y) - 2*m(y).
-y**2 + 17
Let c(x) = 117*x + 10. Let d(w) = -118*w - 7. Give 5*c(l) + 6*d(l).
-123*l + 8
Let r(y) = -2*y + 18. Let w = 115 - 107. Let s be r(w). Let v be (-10)/25 - (36/5)/s. Let o(f) = f. Let x(g) = 5*g. Give v*o(m) + x(m).
m
Let k(v) = -7*v**3 + 31*v**2 - 6*v + 21. Let b(x) = -9*x**3 + 32*x**2 - 8*x + 23. Give -3*b(l) + 4*k(l).
-l**3 + 28*l**2 + 15
Suppose 0 = -55*z + 60*z + 4*u + 31, -u = -3*z - 22. Let h(a) = 27*a**3 + 7*a**2 - 7*a + 13. Let m(l) = -9*l**3 - 2*l**2 + 2*l - 4. What is z*m(t) - 2*h(t)?
9*t**3 + 2
Let p(z) = z**2 + z - 12. Let y(d) = d**2 + 2*d - 11. Let b be 3/((-7 - (-160)/25)/(4/10)). Give b*y(k) + 3*p(k).
k**2 - k - 14
Let a(y) = -17*y**2 + 3*y - 3. Let z(x) be the first derivative of -40*x**3 + 10*x**2 - 20*x + 375. Give 20*a(l) - 3*z(l).
20*l**2
Let v(k) = 2188*k + 5. Let q(m) = 2189*m + 6. What is 5*q(u) - 6*v(u)?
-2183*u
Let h(c) = -770*c + 6. Let i be h(0). Let q(b) = -b + 22. Let y(n) = -n + 22. Give i*y(z) - 5*q(z).
-z + 22
Let t(h) = 4*h - 1. Let i(l) = 0 + 1 + 3 + 62933*l - 3 - 62937*l. Determine -2*i(m) - 3*t(m).
-4*m + 1
Let l(x) = -17*x**2 - 7808. Let y(k) = -4*k**2 - 1952. Calculate 2*l(c) - 9*y(c).
2*c**2 + 1952
Let z(u) = -1. Let y(w) = 5*w + 5. Let j(f) = 3*f + 3. Let q(l) = 11*j(l) - 6*y(l). Suppose 4*d = 7*d + 3*x - 12, -5*x + 8 = -7*d. Calculate d*q(h) + 6*z(h).
3*h - 3
Let b(f) = -f**2 + f. Let p(k) = -3*k**3 + 2*k**2 + 2*k. Let h be ((-4)/5)/(((-748)/85)/22). Give h*b(c) - p(c).
3*c**3 - 4*c**2
Let q(r) = r**2 + 125*r + 30. Let b(t) = -2*t**2 - 251*t - 68. What is 2*b(w) + 5*q(w)?
w**2 + 123*w + 14
Let m(f) = -f**3 + 15*f**2 - 37*f + 16. Let d be m(12). Let y(s) = -2*s - 1 + 5*s - d*s - 2*s. Let p(v) = 13*v + 4. Determine 2*p(z) + 9*y(z).
-z - 1
Let z(b) = -29*b**2 - 12*b + 41. Let r(c) = 60*c**2 + 25*c - 96. What is 3*r(s) + 7*z(s)?
-23*s**2 - 9*s - 1
Let j(b) = -6*b + 9440
|
{
"pile_set_name": "DM Mathematics"
}
|
1938 and 0.5.
8616341938.5
Put together 2309947 and 20038.
2329985
Add together 9566.0773537 and -875.
8691.0773537
What is -0.2 less than -0.252385760645?
-0.052385760645
Total of 1307344484 and -0.108.
1307344483.892
What is the distance between -0.2 and -421452853641?
421452853640.8
Work out 217694.05798 - -0.1.
217694.15798
Total of 0.46891319 and -846896.
-846895.53108681
Calculate -279704 - -0.41964.
-279703.58036
Put together 38974 and -236961.5436.
-197987.5436
What is -4 less than -85547011300?
-85547011296
What is 58 take away -1884243516?
1884243574
Add together -1460049273808 and 0.183.
-1460049273807.817
Calculate 205898 + -7893858.
-7687960
Add 0.5 and 5311258.7654.
5311259.2654
What is 4795072.0009 less than 0.3?
-4795071.7009
Total of -6599960783140 and -95.
-6599960783235
Add 0.0911011 and 307614.
307614.0911011
Calculate 141 + -1.14035071768.
139.85964928232
Total of -4 and -7527815910452.
-7527815910456
-9656 + -1805068
-1814724
What is 364.65 less than 8223320016?
8223319651.35
What is -1.643 plus 35764950?
35764948.357
2 - -55351282488
55351282490
Sum -530783418 and 0.35.
-530783417.65
What is 142.09 - 416600065?
-416599922.91
What is 7152829203 minus 196?
7152829007
36158110.63365 + 0.1
36158110.73365
13.7194008 + 82017
82030.7194008
What is 866.26 take away 10444703?
-10443836.74
Work out -2826585 + 111674606.
108848021
Total of -100583 and 0.13109.
-100582.86891
What is 0.071 plus -4613671532?
-4613671531.929
Add together 2 and -332274831.3826.
-332274829.3826
Add -961.90341759 and -0.13.
-962.03341759
Work out -0.5 + 21.28041265237.
20.78041265237
Calculate 24.06422 + -52773.
-52748.93578
-1619 - -156526992
156525373
Put together 12 and 0.1679433849441.
12.1679433849441
-1.59+-176810049
-176810050.59
What is the distance between 0.1541 and -0.0031198064?
0.1572198064
What is -199578.74332 + -9.11?
-199587.85332
0.1299391059719 - -0.1
0.2299391059719
What is -191646786 minus 5563?
-191652349
What is 0.4 - 2127008837.77?
-2127008837.37
Work out 10212648.118 + -0.1151.
10212648.0029
What is -2763 take away 953.6721065?
-3716.6721065
Put together 853824.3 and 13730757.
14584581.3
What is -6.558591 + 6679.7?
6673.141409
What is -0.4 plus -269297563002?
-269297563002.4
What is -131.7186532 minus 591?
-722.7186532
What is 3192002 minus -46745845?
49937847
Calculate -0.0992 + 31009288384.
31009288383.9008
What is -7555.3 - 19859499842?
-19859507397.3
504.5035 + 678.5535
1183.057
What is -12.84102003116 take away 90?
-102.84102003116
Work out -22079 - 1997805.47.
-2019884.47
What is 0.1000497699 minus 4969?
-4968.8999502301
7439.76259+72379
79818.76259
957495003 - 14914
957480089
Add 1.153 and -2525568.75.
-2525567.597
What is the difference between 11929717621 and 17?
11929717604
What is -77827883267014 plus -0.2?
-77827883267014.2
Sum -0.83066176 and -20524.
-20524.83066176
What is 94303 - 30140830?
-30046527
Work out -27.152 - -174.823212.
147.671212
What is -3116846.71 take away 1207?
-3118053.71
Work out 337405 + -16535837.
-16198432
What is 1578927 less than -0.893741?
-1578927.893741
Total of 47855275755 and -5.
47855275750
What is 0.511987 + -9251787.5?
-9251786.988013
Sum 1348734189610 and -0.4.
1348734189609.6
-18.116 - 8188969
-8188987.116
Subtract 334161.8194 from 46.
-334115.8194
What is -0.368 minus 1613118872?
-1613118872.368
What is the difference between 209958 and 18660.986?
191297.014
What is -0.0684 take away -1915310.58?
1915310.5116
What is -1550624509428 take away -0.055?
-1550624509427.945
Work out 1.13 + -2617424871.
-2617424869.87
What is 711023645 plus -89.9?
711023555.1
-0.04 - -18055841972620
18055841972619.96
Calculate 33542966488 - -487.
33542966975
44325.9 + -6205367
-6161041.1
What is -0.13 less than 12212672769?
12212672769.13
What is -672496.74393 less than -1?
672495.74393
Work out 0.02193 + 524251.07.
524251.09193
What is 6937.917 plus 329269.7?
336207.617
Calculate 45.1 - -42981821016.
42981821061.1
What is 1335315075 plus -693?
1335314382
Add 1427644694765 and -2.
1427644694763
Subtract -11 from -33379.769214.
-33368.769214
Total of 21.620338 and 0.7001078.
22.3204458
Calculate -2 + 600197147.214.
600197145.214
Subtract 0.21518779 from -1048461.
-1048461.21518779
Add together -29256.2 and 339.83.
-28916.37
Subtract -0.5 from -22240137244749.
-22240137244748.5
Calculate 10084.24633 + 24903.
34987.24633
Total of 29 and 10605318666925.
10605318666954
What is -14203782 - -96641?
-14107141
What is 0.03738 - -1766124.8?
1766124.83738
What is -48 - 1838035561?
-1838035609
|
{
"pile_set_name": "DM Mathematics"
}
|
number?
False
Is 4073 a prime number?
True
Is 42739 composite?
True
Is 37217 a composite number?
False
Is 1903 a prime number?
False
Is 151337 prime?
True
Is 13093 a prime number?
True
Is 15727 a prime number?
True
Is 1697027 prime?
True
Is 15419 a prime number?
False
Is 2939 composite?
False
Is 238933 a prime number?
False
Is 28079 a composite number?
True
Is 1015709 a composite number?
False
Is 39002 a composite number?
True
Is 2033 prime?
False
Is 5847 prime?
False
Is 13443 composite?
True
Is 21211 a composite number?
False
Is 38543 composite?
False
Is 377219 a prime number?
True
Is 88513 composite?
False
Is 69253 prime?
False
Is 3713 composite?
True
Is 37678 prime?
False
Is 59879 a prime number?
True
Is 14387 composite?
False
Is 1653943 a composite number?
True
Is 184577 composite?
False
Is 10477 composite?
False
Is 1642 a composite number?
True
Is 322835 composite?
True
Is 413 composite?
True
Is 46745 a composite number?
True
Is 21363 prime?
False
Is 129379 a composite number?
False
Is 42193 a composite number?
False
Is 88919 composite?
False
Is 2708065 a prime number?
False
Is 427603 prime?
False
Is 674551 a prime number?
True
Is 1339683 composite?
True
Is 3299 prime?
True
Is 26669 a composite number?
False
Is 2474 composite?
True
Is 2361 a composite number?
True
Is 753733 composite?
True
Is 16729 a composite number?
False
Is 29411 composite?
False
Is 22901 a composite number?
False
Is 783961 a composite number?
True
Is 289901 prime?
False
Is 828089 composite?
True
Is 1949 a prime number?
True
Is 102433 prime?
True
Is 793207 prime?
True
Is 656785 a prime number?
False
Is 921277 a prime number?
False
Is 21797 composite?
True
Is 3659 a prime number?
True
Is 5561 prime?
False
Is 3563 prime?
False
Is 12895 prime?
False
Is 649361 a prime number?
True
Is 1049941 a composite number?
False
Is 8497 a prime number?
False
Is 168403 a composite number?
True
Is 5686015 a prime number?
False
Is 50989 composite?
False
Is 12481 a prime number?
False
Is 17337 prime?
False
Is 4727 a prime number?
False
Is 326189 composite?
False
Is 1008655 a prime number?
False
Is 542327 a prime number?
False
Is 12471 prime?
False
Is 105071 composite?
False
Is 74963 prime?
False
Is 44966 prime?
False
Is 16787 a prime number?
True
Is 4659 a prime number?
False
Is 15089 prime?
False
Is 211927 composite?
False
Is 421643 prime?
True
Is 665609 a prime number?
False
Is 6326 a composite number?
True
Is 216563 composite?
True
Is 76537 a prime number?
True
Is 28562 prime?
False
Is 472267 a composite number?
True
Is 1878733 a composite number?
False
Is 678149 a composite number?
True
Is 11239 a composite number?
False
Is 5401 prime?
False
Is 1697953 prime?
True
Is 2041 composite?
True
Is 753 prime?
False
Is 10869 a prime number?
False
Is 631 prime?
True
Is 35201 prime?
True
Is 945053 prime?
False
Is 1559713 prime?
True
Is 372223 prime?
True
Is 492967 composite?
False
Is 60493 prime?
True
Is 191161 prime?
True
Is 56215 a composite number?
True
Is 496267 a composite number?
True
Is 11929 prime?
False
Is 14243 a composite number?
False
Is 496841 a composite number?
False
Is 91049 a composite number?
True
Is 8842 a composite number?
True
Is 14963 a prime number?
False
Is 900607 a prime number?
True
Is 77431 a composite number?
False
Is 46807 a prime number?
True
Is 34511 a composite number?
False
Is 3643 prime?
True
Is 75503 prime?
True
Is 77789 prime?
False
Is 1330387 a prime number?
False
Is 7529 composite?
False
Is 11335 composite?
True
Is 10603 composite?
True
Is 869 composite?
True
Is 559667 composite?
False
Is 41401 composite?
True
Is 169003 composite?
False
Is 316337 composite?
True
Is 9386161 composite?
False
Is 671797 composite?
True
Is 26794 a composite number?
True
Is 12811 prime?
False
Is 34313 prime?
True
Is 8027 a prime number?
False
Is 27271 a composite number?
False
Is 21993 prime?
False
Is 72749 a prime number?
False
Is 3265971 prime?
False
Is 990251 a composite number?
True
Is 317227 a prime number?
True
Is 1112465 prime?
False
Is 65761 a prime number?
True
Is 8039 prime?
True
Is 33679 a composite number?
False
Is 66337 a composite number?
False
Is 17041 a prime number?
True
Is 1618957 a composite number?
False
Is 521 composite?
False
Is 816077 a prime number?
True
Is 49421 prime?
False
Is 12611 prime?
True
Is 6653 composite?
False
Is 73391 prime?
False
Is 772017 a composite number?
True
Is 36658 prime?
False
Is 1809271 a composite number?
False
Is 489869 a composite number?
False
Is 914323 prime?
False
Is 47917 a composite number?
False
Is 35491 composite?
False
Is 38803 composite?
False
Is 3319 composite?
False
Is 58757 composite?
False
Is 132077 prime?
False
Is 12461 a prime number?
False
Is 4703 a prime number?
True
Is 4889 a composite number?
False
Is 2789 a prime number?
True
Is 53953 a composite number?
True
Is 1513 prime?
False
Is 302693 prime?
False
Is 22823 composite?
True
Is 26309 a prime number?
True
Is 29443 a composite number?
False
Is 43853 prime?
True
Is 2053 a prime number?
True
Is 2723431 prime?
True
Is 40739 a prime number?
True
Is 467471 composite?
False
Is 7411 a prime number?
True
Is 71267 a composite number?
True
Is 2773 a prime number?
False
Is 273089 a prime number?
False
Is 13911 a prime number?
False
Is 1087 prime?
True
Is 427213 a composite number?
False
Is 114067 a prime number?
True
Is 31087 composite?
True
Is 11791 composite?
True
Is 7641649 a prime number?
True
Is 2524087 a composite number?
False
Is 576287 a prime number?
True
Is 21979 composite?
True
Is 13619 composite?
False
Is 11467 a composite number?
False
Is 652031 a composite number?
True
Is 10517 a prime number?
False
Is 24515 a composite number?
True
Is 3607 a composite number?
False
Is 53 composite?
False
Is 28349 a prime number?
True
Is 1963567 prime?
True
Is 1231547 a prime number?
True
Is 7031 composite?
True
Is 49253 composite?
False
Is 284917 prime?
True
Is 221422 a prime number?
False
Is 149 composite?
False
Is 148207 composite?
False
Is 4497 a composite number?
True
Is 5723 composite?
True
Is 13929 a prime number?
False
Is 124669 composite?
False
Is 59333 a prime number?
True
Is 1111445 a prime number?
False
Is 179611 composite?
True
Is 2491 a composite number?
True
Is 124427 a composite number?
False
Is 65167 a composite number?
|
{
"pile_set_name": "DM Mathematics"
}
|
-144 + 146. Find z, given that -15*z**2 + 17*z**k - 4*z - z**4 + 1 + 4*z**3 - 5*z**2 + 3 = 0.
-1, 1, 2
Let z = 143 - 141. Let s be z/(-13) - 3*(-20)/390. Solve 3/4*g + s + 9/4*g**3 - 3*g**2 = 0 for g.
0, 1/3, 1
Let n(h) = -10*h**2 - 315*h + 325. Let x = 280 - 283. Let k(j) = -5*j**2 - 157*j + 162. Let b(d) = x*n(d) + 5*k(d). Factor b(m).
5*(m - 1)*(m + 33)
Let o(x) be the third derivative of -2*x + 1/480*x**6 - 32*x**2 + 0*x**4 + 1/120*x**5 + 0 + 0*x**3. Factor o(v).
v**2*(v + 2)/4
Suppose -2944*i = -3031*i + 261. Factor 3*p - 15/4*p**i + 3/4*p**4 - 6 + 9/2*p**2.
3*(p - 2)**3*(p + 1)/4
Let t = -612 + 623. Let u be (t - (-5344)/(-504)) + 2/(-18). Factor -8/7*o**3 + 10/7 + 8/7*o + u*o**4 - 12/7*o**2.
2*(o - 5)*(o - 1)*(o + 1)**2/7
Let r = 230 + -221. Let g(z) be the first derivative of -r + 26/3*z**4 - 70/27*z**6 - 124/45*z**5 + 0*z - 16/9*z**2 - 16/27*z**3. What is w in g(w) = 0?
-2, -2/7, 0, 2/5, 1
Let d(q) be the second derivative of 1/2*q**3 + 1/16*q**4 + 105*q + 0 - 15/8*q**2. Determine p, given that d(p) = 0.
-5, 1
Let v = 23 - 20. Let 74*r - 105*r**2 + 432 - 2*r**4 + 379*r + 48*r**v + 369*r**2 + 123*r + 5*r**4 = 0. Calculate r.
-6, -2
Let u = -643 - -642. Let p be u - ((-161)/45 + 36/45). Let 4/9*b**3 - p*b + 0 + 2/9*b**4 - 8/9*b**2 = 0. What is b?
-2, 0, 2
Let p be 3 + (-220)/209 + 28/532. Factor 4*l + 2/3*l**p + 6.
2*(l + 3)**2/3
Let f be (-5)/5*186/(-31). Let b(u) be the second derivative of 7/50*u**5 + 1/15*u**f + 0 - 9*u + 1/10*u**4 + 0*u**2 + 1/105*u**7 + 0*u**3. Factor b(y).
2*y**2*(y + 1)**2*(y + 3)/5
Let o(b) be the third derivative of -b**6/24 - b**5/2 + 35*b**4/24 + 50*b**3 + 323*b**2 - b. Let o(g) = 0. Calculate g.
-5, -4, 3
Factor 104907 + 561*s + 3/4*s**2.
3*(s + 374)**2/4
Let h(b) = 15*b**3 + 46*b**2 + 47*b + 16. Let u(m) = 45*m**3 + 139*m**2 + 143*m + 49. Let o = -420 + 416. Let s(d) = o*u(d) + 11*h(d). Factor s(q).
-5*(q + 1)**2*(3*q + 4)
Let r(g) be the first derivative of -g**4 + 136*g**3/3 - 342*g**2 - 1944*g - 1414. Let r(t) = 0. What is t?
-2, 9, 27
Let i(s) be the second derivative of -2 + 4/3*s**2 + 16/9*s**3 - 44*s + 1/6*s**5 + 17/18*s**4. Factor i(n).
2*(n + 1)*(n + 2)*(5*n + 2)/3
Suppose -7616 + 32681 = 15*u. Let p = -1669 + u. Determine j so that 0*j**p + 0*j + 1/5*j**4 + 0 - j**3 = 0.
0, 5
Let y(g) be the third derivative of -g**5/12 - 25*g**4/6 - 95*g**3/6 + 152*g**2 + 5*g. Factor y(l).
-5*(l + 1)*(l + 19)
Let s(z) = 7*z + 36. Let a be s(-8). Let i be (11/(-55))/(2/a). Factor -c**i - c**3 + 1 - 48*c + 38*c + 11*c**3.
(c - 1)*(c + 1)*(10*c - 1)
Let f(k) be the first derivative of k**8/7560 - 11*k**6/810 - 2*k**5/45 + 5*k**4/12 - k**3 + k + 78. Let v(b) be the third derivative of f(b). Solve v(h) = 0.
-3, 1, 5
Let i(z) = 15*z**3 - 628*z**2 - 3884*z + 4497. Let b(m) = -m**3 + 42*m**2 + 259*m - 300. Let x(q) = 93*b(q) + 6*i(q). Find r, given that x(r) = 0.
-6, 1, 51
Let u(q) = -3*q**2 + 18*q - 11. Let d be u(5). Solve -8*a**3 + 4*a + 41*a**4 + d*a**5 - 6 - 2 - 49*a**4 + 16*a**2 = 0.
-1, 1, 2
Let w be 62/12 - (23/2 - 7). Factor -2*g**2 + w*g**3 + 0 + 0*g.
2*g**2*(g - 3)/3
Let c(y) be the third derivative of -y**7/210 + y**6/60 + 56*y**5/15 - 75*y**4/4 + 75*y**3/2 - 2*y**2 - 5*y + 13. Factor c(x).
-(x - 15)*(x - 1)**2*(x + 15)
Let -930 - 805*o**3 - 194*o - 646*o + 160*o**3 + 1530*o**2 + 10*o**4 + 2095*o = 0. What is o?
-1, 1/2, 3, 62
Let d = 23 - 17. Factor -18*s**2 - 23*s**2 + 46*s**2 - d*s + s**3.
s*(s - 1)*(s + 6)
Suppose 217*l - 208*l = 4905. Let c = 545 - l. Factor 1/2*a**3 + c + 2*a**2 - 5/2*a.
a*(a - 1)*(a + 5)/2
Let l(k) = -3*k**2 - 13*k + 13. Let p be l(-5). Factor -302*a**2 + 3*a**5 + 104*a - 13*a**4 - 23*a**4 + 171*a**p + 364*a - 216 - 100*a**2.
3*(a - 3)**2*(a - 2)**3
Let z be ((-320)/(-160))/((0 - -1)/(11/110)). Let 0 - 1/5*w**5 + z*w**3 - 2/5*w**2 + 2/5*w**4 + 0*w = 0. Calculate w.
-1, 0, 1, 2
Let n(a) = a**2 + a. Let z(r) = -r + 10. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
69.1. Let j = u + -68.97. Which is the smallest value? (a) -2 (b) -3 (c) 2 (d) j
b
Let f = 37 - 35. Let a = -1.6 + f. What is the biggest value in a, -0.2, -2/3?
a
Let x = 878.7 + -879. Let y = -0.3 + 0.1. Which is the third smallest value? (a) x (b) 4 (c) y
b
Let l = -0.102 - -0.602. What is the third smallest value in l, -2, -4?
l
Let g be -4 + (-6)/(-15)*38/4. What is the third smallest value in 0.18, -0.04, g?
0.18
Let r = 48 + -44. Suppose -55 = -5*o - 0*q + q, r*o - 23 = 5*q. What is the biggest value in o, 1, -3/7?
o
Suppose -5*h - 5*n = 15, -h - 3*n = -n + 4. Let f be -1*(-5)/(-23 + h). Which is the second biggest value? (a) 0.2 (b) f (c) -2/5
b
Let o = -542.031 + 545. Let w = o + 0.031. Which is the third smallest value? (a) 0.2 (b) w (c) -0.1 (d) -0.13
a
Let x = 497/4290 + 5/286. What is the second biggest value in x, 0.3, 0.36?
0.3
Let x = 3 - 17. Let s = x - -10. Let r = -0.7 + 1. What is the third biggest value in s, 0.5, r?
s
Let l = -61.5 - -61. Let b = -0.06 + 5.06. Let m = 58/91 - 12/13. What is the biggest value in l, m, b?
b
Let r = 23639/12616 - -2/1577. Which is the smallest value? (a) -2/7 (b) r (c) 5
a
Let a = -0.04 - -0.54. Let b = -80 + 77. What is the biggest value in a, b, -2?
a
Let p = -733.9 + 734. What is the second smallest value in p, -0.5, 8, -1/14?
-1/14
Suppose 0 = -z - m + 9, 5*m - 33 = -6*z + 4*z. What is the biggest value in -1, 3, z, 2/17?
z
Let h(y) = -21*y - 443. Let r be h(-17). Which is the second biggest value? (a) 0.4 (b) r (c) 2 (d) 2/7
a
Suppose -2 - 6 = -8*z. Let g(p) = -9*p**2 + 2*p - 2. Let c be g(z). What is the second biggest value in -4/5, c, 0.3, -3?
-4/5
Let r = -1350 + 1351.86. What is the biggest value in r, -1, 2?
2
Let m(w) be the first derivative of 4 + 1/2*w**2 + 2*w - 1/3*w**3. Let n be m(-2). Which is the second biggest value? (a) -2 (b) n (c) -2/9
a
Let q = -0.529 + 0.099. Which is the biggest value? (a) 4 (b) 0 (c) q
a
Let s(p) = 2*p**2 + 2*p + 1. Let x be s(2). Let l = -27.2 - -25.2. What is the second smallest value in x, 1, l?
1
Let s = -12 - -8. Let p(t) = 6*t - 50. Let y be p(8). What is the third biggest value in y, -1/3, -4/3, s?
y
Let r = 0.07 - -2.93. Let n = 12.5 - -3.5. Let w = -17 + n. What is the third biggest value in 5, r, w?
w
Let v = 57/203 - 4/29. Which is the fourth biggest value? (a) v (b) -5 (c) 0.1 (d) 1
b
Let g = -6.6 - -6.3. Let z = -0.11 + 0.06. Which is the second biggest value? (a) -1 (b) g (c) z
b
Let o be 619*-2*3/(-22). Let j = 169 - o. Suppose 37*x + 9*x = 414. Which is the third biggest value? (a) 0 (b) j (c) x
a
Let u = 0.4 - 1.4. Let k(x) = 3*x + 1. Let q be k(1). Suppose -4*o = v + q, -8 - 20 = 4*o - 5*v. Which is the smallest value? (a) o (b) u (c) 0
a
Let l = 2.52 + -2.62. What is the third biggest value in 0.06, l, 9/4?
l
Let u be (20/(-12))/((-10)/24). Let m = 276/5 + -55. Which is the third smallest value? (a) u (b) m (c) -0.4
a
Let a be (1 + 0)/((-172)/(-58) + -3). Let g = 100 - 1702/17. What is the second biggest value in 0, a, g?
g
Let v = -76 - -57. Let q = v - -14. Which is the second smallest value? (a) -11 (b) q (c) 5
b
Let b be (-7763)/3465 - 6/(-3). Let n = b + 1/55. What is the third biggest value in 2, n, 5?
n
Let q = -0.15 - -0.2. Let z = 49.653 - 0.753. Let a = z - 49. What is the second biggest value in -5, q, a?
a
Suppose -5*h - 1 = -3*w, 3*h - w - 113 = -112. What is the third smallest value in h, 1/3, 11?
11
Let o be (-46)/14 - (-244)/854. What is the smallest value in o, -12, 1, 0?
-12
Let i be 8/((-14)/20 + 4/20). Let h be ((-15)/150)/(i/10). Which is the second smallest value? (a) 5 (b) h (c) 0
b
Let t = -74 - -88. Let h = t - 14.06. What is the biggest value in h, 5, 2/21?
5
Let c = -23 + 139/6. Let l be 4/28*((-85)/15 + 8). What is the second biggest value in 0.4, l, 0, c?
l
Suppose -d - 2 + 5 = 0. Suppose j - d - 6 = 0. Let x be 2*j/6 - 2. Which is the third biggest value? (a) x (b) 4 (c) 2/3
c
Let a = -0.4 + 0.8. Let i = -0.201 + 5.201. Let g = 0.24 + 0.06. What is the third smallest value in g, i, a?
i
Let f = -4415/8 + 552. Which is the second smallest value? (a) -1/20 (b) f (c) 1/3 (d) -0.1
a
Let y = -1/126 + 257/630. Which is the third biggest value? (a) -1/3 (b) 3 (c) -1/8 (d) y
c
Let l(o) = -4*o + 18. Let w be l(4). Let y = 0.2 + 0.1. Let i = 0 + 1. Which is the third smallest value? (a) w (b) i (c) y
a
Let n be -1 - (12/30)/((-8)/30). Let p = 4/2317 - -836413/13
|
{
"pile_set_name": "DM Mathematics"
}
|
*l + 18 = 0. Suppose -d - l = 2*q - 3*q, 3*q - d = 14. Suppose 3*p + q*i + 82 = 6*p, -4*i + 8 = 0. What are the prime factors of p?
2, 3, 5
Let y = 227 + -162. What are the prime factors of y?
5, 13
What are the prime factors of (3/1)/((-282)/(-151058))?
1607
Suppose 0 = 4*k + c - 3526, k + c - 872 = -4*c. List the prime factors of k.
2, 3, 7
Suppose -71 = -4*k + 37. Let s = 24 + k. Suppose -s = 2*u - 5*u. What are the prime factors of u?
17
Suppose 2*z + 446 = 5*c, 0 = 2*c - 7*c - 10. Let i = z + 319. List the prime factors of i.
7, 13
List the prime factors of 3/(-33) + 25830/22.
2, 587
Let x(l) = -2 + 9 - 3*l + 2*l. Suppose 18 + 2 = -4*y. List the prime factors of x(y).
2, 3
Suppose -328 = 18*r - 1462. What are the prime factors of r?
3, 7
Let d = -12 + 14. Suppose d*m - 2 = -4*s, -17 = 3*m - s - 48. List the prime factors of m.
3
Let v be (-2 - (-72 + -3)) + 0. What are the prime factors of v/6 - 14/84?
2, 3
Suppose -v + 23 = 3*l, 0 = -5*l - v + 16 + 21. Suppose 0 = h - l - 37. List the prime factors of h.
2, 11
Let d(z) = -115*z + 122. List the prime factors of d(-8).
2, 521
Let l be (1 + 0 + -1)/(-4) - -4. Suppose -3*g = 3*d + 2*d + 10032, -5*g = 5*d + 10030. What are the prime factors of d/(-33) + l/22?
61
Let y be ((-501)/9 - 3)/((-3)/18). Suppose -5*c = m - 128, 3*m + c - y = 2*c. List the prime factors of m.
2, 59
Let d = -13 + 7. Suppose -2*y + y + 39 = 2*g, -5*y + 217 = -g. Let s = d + y. What are the prime factors of s?
37
Let t = 624 - 349. Suppose -2*j - t = -7*j. What are the prime factors of j?
5, 11
Let n = 102 + -3. What are the prime factors of n?
3, 11
Suppose 0 = 5*k + 106 + 49. Let o(w) = -w**3 - 27*w**2 - w + 41. Let h be o(-27). Let y = h + k. List the prime factors of y.
37
Let b = -32 + 35. Suppose 0 = b*j + 4*j - 1484. Suppose u = -3*u + j. What are the prime factors of u?
53
Let i(s) = -2*s - 8. Let t be i(-5). Suppose t*p - 233 = -27. What are the prime factors of p?
103
Suppose -5*u + 55 = 5*n, 4*n - 17 = 2*n + 3*u. Suppose 4*f + n = -0*p - p, -f + 2*p = 7. What are the prime factors of (-58)/f - (-1)/(-3)?
19
Let f be 4/8*-1*(0 - 4). List the prime factors of ((-68)/12 - f/(-3))*-16.
2, 5
Suppose -2*y - 2111 + 5229 = -2*f, 3*f + 3123 = 2*y. List the prime factors of y.
2, 3, 7, 37
Let p = -1382 - -1551. List the prime factors of p.
13
Let u(q) be the second derivative of 19*q**4/8 - q**3/6 - 4*q**2 + 12*q. Let a(v) be the first derivative of u(v). List the prime factors of a(1).
2, 7
Let d(x) = -8*x**3 - 5*x**2 + 55*x + 9. List the prime factors of d(-8).
3, 5, 223
Suppose -2*a + 35 = 3*w, -60 + 9 = -3*a - 5*w. Let h = a + 20. List the prime factors of h.
2, 3, 7
Let m = 225 - 134. Suppose s - m = -30. Let g = -36 + s. List the prime factors of g.
5
Let r = 1 + 3. Let g = -152 + 155. Suppose 4*b + 70 = g*x, 4*x = r*b + 37 + 63. What are the prime factors of x?
2, 3, 5
Suppose -270 = -o - 2*c, -2*c = -2*o + 4*o - 544. List the prime factors of o.
2, 137
Let h(z) = 8*z**2 - 18*z - 91. List the prime factors of h(12).
5, 13
Let d = 865 - -535. What are the prime factors of d?
2, 5, 7
Let a = 3223 - 2225. List the prime factors of a.
2, 499
Let d(m) = -m**3 - 22*m**2 - 20*m + 17. Let k be d(-21). What are the prime factors of k/(-14) - (-47)/7?
7
Let t = -705 + 1150. What are the prime factors of t?
5, 89
What are the prime factors of (2 - 1217)/(0 + (-15)/10)?
2, 3, 5
Suppose -k = -5*n + 28 + 1, 3*k = -2*n - 2. Suppose 554 = 5*j - n*c - 6, -2*j + 3*c + 226 = 0. What are the prime factors of j?
2, 5, 11
Suppose 4*z + 6*n + 1092 = 10*n, 5*z = 2*n - 1368. Let f = z - -560. What are the prime factors of f?
2, 11, 13
Let t be 4*((5 - 2) + -2). Suppose -i + 10 = -5*k - 10, -5*i + 37 = -t*k. Suppose i*s = 7*s - 46. What are the prime factors of s?
23
Suppose -21*t + 17*t = 5*d - 12753, 0 = -2*t + 2*d + 6390. What are the prime factors of t?
2, 3, 7, 19
Let c(h) = 4*h + 5. Let d(o) = -7*o - 11. Let j(t) = -9*c(t) - 4*d(t). List the prime factors of j(-2).
3, 5
Let r = 380 + 164. Let g = r - 372. What are the prime factors of g?
2, 43
Suppose 3*n + 11 + 15 = 2*i, 16 = 4*i. Let h(w) be the second derivative of -2*w**3/3 + 13*w**2/2 + 22*w - 1. What are the prime factors of h(n)?
37
Let d(w) = 3*w + 16. What are the prime factors of d(9)?
43
Let i(s) = s + 15. Let l be i(-12). Let a be (-1)/1 + 7 + 2. Suppose a = -2*c + l*c. List the prime factors of c.
2
Suppose 0 = 3*q - 6, 5*q = r + q - 645. List the prime factors of r.
653
Suppose -4*q - q + 750 = 0. What are the prime factors of q?
2, 3, 5
Let v = 142 + 236. What are the prime factors of v?
2, 3, 7
Let z(a) = 6*a**2 + 3*a - 1. Let h be z(1). Suppose 4*v - 72 = -h*v. What are the prime factors of v?
2, 3
Let n be (-1)/((-2)/10) + -3 + -124. Let x = n - -212. List the prime factors of x.
|
{
"pile_set_name": "DM Mathematics"
}
|
6)/4*(0 - 2)*1. Suppose 3*w = 2*b + b - 12, -d*b + 27 = 2*w. What is the remainder when 17 is divided by b?
3
Suppose 0 = 29*d + 28343 - 99741. What is the remainder when d is divided by 112?
110
Let y(g) = -g**3 - 7*g**2 + 17*g - 3. Calculate the remainder when 137/5 + (-4)/10 is divided by y(-9).
3
Suppose -2*f + 7*f = 3*d - 783, -d = 3*f - 275. Calculate the remainder when d is divided by 27.
23
Let w(n) = 2*n**2 - 2*n + 2. Let t(u) = -u. Let s be t(-3). What is the remainder when ((-4)/6)/(8/6)*-106 is divided by w(s)?
11
Suppose -3*b - 30 = -8*b. Suppose 6 = -4*a + 4*d - b, -5*d + 17 = -4*a. Calculate the remainder when 2 is divided by a.
0
Suppose 5*k + 4*g - 101 = 50, -2*k + 3*g = -42. What is the remainder when 158 is divided by k?
23
Let l = -31 + 77. What is the remainder when l is divided by 8?
6
Suppose 0*r + 6*r = 0. Suppose -2*m + 59 + 21 = r. What is the remainder when m is divided by 7?
5
Suppose 3*k + d - 49 = 6, -4*d + 94 = 5*k. Let q = 1112 - 1082. Calculate the remainder when q is divided by k.
12
Suppose 16*i = 14*i - 3*v + 24, 0 = -i + v + 7. What is the remainder when 61 is divided by i?
7
Let n(z) = -z**2 + 9*z - 6. Let r be n(8). Suppose 5*s = r*k + 38, 5*s + 3*k = s + 35. Calculate the remainder when (-1)/(-3)*(66 + 21) is divided by s.
5
Suppose 0 = 2*a - 41 + 9. Suppose -180 = -n - 3*n. What is the remainder when n is divided by a?
13
Suppose 2*j = -2*l + 10, 0 = 3*l - 0*j - 5*j + 25. Suppose 3*a + 2*a - 245 = l. Suppose h - 12 = 5. Calculate the remainder when a is divided by h.
15
Let r(x) = -x**3 - 3*x**2 - 12*x - 85. Calculate the remainder when 33 is divided by r(-5).
8
Let t = 8 + -5. Let z(y) = -5*y**2 - 73*y + 32. Calculate the remainder when t is divided by z(-15).
1
Suppose -4*c + 158 = 2*y, y = -4*c + 3*y + 146. What is the remainder when 911 is divided by c?
37
Let p be (2 + -4)*(-3)/2. Let l(n) = -n + 12. Let r be l(6). Suppose -r = -p*w + 9. Calculate the remainder when 12 is divided by w.
2
Suppose -211 = n + 4*f - 62, -4*n + f - 511 = 0. Calculate the remainder when 52 is divided by n/(-12) + (-3)/(-12).
8
Let b = -29 + 28. Calculate the remainder when (4/14)/(b/(-49)) is divided by 5.
4
Calculate the remainder when 14570/93 + (-2)/(-6) is divided by 23.
19
Suppose -5*c - d + 22 = -0*c, -11 = -c + 2*d. Let p(j) = 12*j + 1 - 16*j - c + 9*j. Calculate the remainder when p(4) is divided by 5.
1
Let c be -3*(-2)/6*-2. Let j(d) = 13*d + 45. Let h(l) = -3*l - 11. Let r(x) = c*j(x) - 9*h(x). What is the remainder when r(8) is divided by 10?
7
Suppose 2*j - 6*j + 196 = 4*i, -j - 176 = -4*i. Let s(c) = 3*c**2 + 8*c + 6. Let u be s(-5). Let f = u - 25. Calculate the remainder when i is divided by f.
13
Let p be (-816)/9 - 3/(18/(-4)). Let c = p - -126. What is the remainder when 70 is divided by c?
34
Let d = -78 + 8. Suppose -87 + 8 = -5*s - m, 2*s - m - 33 = 0. Calculate the remainder when -6*(4 - d/(-6)) is divided by s.
14
Let a(r) = -4*r + 6. Let x be (-2 - 1) + ((-2)/(-1) - 5). What is the remainder when 117 is divided by a(x)?
27
Suppose -2*b + 2*n = -3*b + 624, 0 = -b + 2*n + 604. Calculate the remainder when b is divided by 26.
16
Suppose -1 = -2*x - 3*r + 4*r, -x + 23 = 4*r. Let t(u) be the first derivative of u**2 - 4*u - 1. Calculate the remainder when t(4) is divided by x.
1
Suppose 0*p = -3*p + 4*m + 189, 0 = -2*p - 4*m + 106. Calculate the remainder when 707 is divided by p.
58
Suppose 0*z + 2*z + 48 = 4*h, -z = 4*h - 48. Let m = -1 + 24. What is the remainder when m is divided by h?
11
Let h = 1460 + -1433. What is the remainder when 126 is divided by h?
18
Let x(r) = r**3 - 5*r**2 - 84*r + 24. What is the remainder when 285 is divided by x(12)?
21
Suppose 0 = 5*g + 2*b - 14, -2*g - b - 4*b = 7. Suppose -j - 3*y - g = y, -3*y = 4*j - 23. Calculate the remainder when 47 is divided by j.
7
Suppose 4 = -6*x + 2*x. Calculate the remainder when 39 is divided by (-4 - 1/x) + 23.
19
What is the remainder when 332 is divided by 20*((-42)/(-5) - (-14 + 20))?
44
Calculate the remainder when 133*-1*(2 - 10 - -7) is divided by 17.
14
Suppose -4*c = -4*y - y + 138, 5*c + 105 = 4*y. Let d(a) = -a**3 + 12. Let r be d(0). What is the remainder when y is divided by (-1 - -3)*66/r?
8
Let r(f) = 2*f + 5. Let j be r(0). Suppose j*o + 61 + 4 = 0. Let n = -5 - o. What is the remainder when 30 is divided by n?
6
Let u(c) = c**3 - 9 + 14*c + 3*c**2 - 2 - 6 - 14*c**2. Let n = 14 + -8. Calculate the remainder when u(10) is divided by n.
5
Suppose 4*h = -0*h + 20. Suppose 7 = i - 0*i + 2*g, 4*g - 4 = 0. Suppose -16 = i*a - 9*a. What is the remainder when h is divided by a?
1
Let q = 519 - 384. Calculate the remainder when q is divided by 68.
67
Suppose 0 = -4*k - k + 65. Let u(s) = -s**2 + 12*s + 14. Let l be u(k). Suppose 4*n + l = 37. Calculate the remainder when 33 is divided by n.
6
Let i = -1488 - -1506. Suppose 5*b = -45 + 205. What is the remainder when b is divided by i?
14
Let k(h) = 3*h - 4*h - 2*h - 3. What is the remainder when k(-5) is divided by 18/(-39) + (-194)/(-26)?
5
Let i(a) = 4*a + 258. Calculate the remainder when i(-45) is divided by 49.
29
Let w(s) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
*5/60 + 9*t**4/8 - 37*t**3/6 + 2330*t**2. What is j(-28)?
-9
Let n(p) = -17*p + 9. Let w(k) be the third derivative of -5*k**4/12 + 5*k**3/6 + 12*k**2 + 3*k. Let z(r) = 3*n(r) - 5*w(r). What is z(-7)?
9
Let c(o) = -5*o - 16. Let t(z) = 2*z + 6. Let p = -320 + 323. Let j(q) = p*c(q) + 8*t(q). Give j(3).
3
Let g(s) = s**2 - 1. Let o be g(1). Suppose 0 = -2*i + 10 - o. Suppose 8 = -i*u - 12. Let v(f) = f + 1. Determine v(u).
-3
Let f(o) be the third derivative of o**7/2520 - 79*o**5/60 + 43*o**2. Let w(d) be the third derivative of f(d). Calculate w(2).
4
Let f(l) = -10*l**2 + 2*l + 3. Let w(b) = 26 - 14*b + 17*b - 1. Let j be w(-9). Calculate f(j).
-41
Suppose 132*z - 133*z + 7 = 0. Let t(p) be the second derivative of -p**4/12 + 4*p**3/3 + 9*p**2/2 + 13*p - 5. Calculate t(z).
16
Let g(z) = -3*z**2 - 19*z - 31. Let i(f) = -4*f**2 - 20*f - 45. Let a(u) = 3*g(u) - 2*i(u). Give a(0).
-3
Let q(w) be the second derivative of -1/3*w**3 + 67*w - 11/2*w**2 + 0. Give q(-8).
5
Let n(s) be the first derivative of s**3/6 + s**2 + 138*s + 104. Let h(l) be the first derivative of n(l). Determine h(5).
7
Let n(g) = -g - 2*g**3 - 6 - 8*g + 2*g**3 + g**3 + 50*g**2 - 44*g**2. Calculate n(-7).
8
Let c(w) = -13 - 153*w - 298*w**3 + 174*w - 6 + 297*w**3 + 20*w**2. What is c(21)?
-19
Let j(b) = -b**3 - 56*b**2 - 54*b + 54. Let a = 4801 + -4856. Give j(a).
-1
Suppose -7*a = 2*f - 6*a - 23, f - 19 = -2*a. Let q(w) = -w**2 - f + 72*w + 6 - 9 - 62*w. Give q(9).
-3
Let y(j) be the second derivative of j**6/720 - j**5/30 + j**4/6 - 75*j**2/2 - 15*j. Let c(i) be the third derivative of y(i). What is c(5)?
1
Suppose -s + 5 = 2*d + 2*s, 25 = 3*d + s. Let x = 12 + d. Suppose 0 = -5*c - j - 6 - x, 5*c = -4*j - 37. Let g(w) = -w**2 - 5*w - 1. What is g(c)?
-1
Suppose -42 = 3*j + 63. Let t = j + 40. Suppose -v + 1 = -t. Let z(a) = -5*a + 4. What is z(v)?
-26
Let i(t) = 2*t + 3. Let u be i(2). Suppose 0 = -4*g + u*g - 18. Let p(a) = -8 + 2*a - g - a. Give p(0).
-14
Let z(k) = -k. Suppose -16 = 4*x, -x - 6 + 5 = y. Suppose 16 - 5 = 11*c. Suppose 2*i - 17 = y*g - c, -5*i = -4*g - 19. Determine z(g).
6
Let s = -29 + 35. Let j(r) be the first derivative of r**2 - 11*r - 487. Calculate j(s).
1
Let q(v) be the third derivative of -v**5/20 + 7*v**4/24 - 17*v**3/6 - 2*v**2 - 28*v. Give q(5).
-57
Let m(n) = n**3 - 9*n**2 + 34*n - 135. Let a be m(7). Let c(b) be the third derivative of b**5/30 - b**4/3 + 5*b**3/6 - 4*b**2. Calculate c(a).
15
Let k(u) = -u**2 - 6*u + 5. Let y(h) = -3*h**2 + 48*h - 188. Let b be y(6). What is k(b)?
-11
Let m(n) = 2*n**2 - 17*n + 11. Suppose -2*i + 10 = -4*h, -17*i + 14*i + 5*h = -16. Give m(i).
-10
Let y(h) = -392*h**2 - 388*h**2 + 21*h - 395*h**2 - 394*h**2 + 1576*h**2 + 46 + h**3. Determine y(-5).
-9
Suppose 268*d - 124*d = 133*d. Let t(m) = 2*m**3 + 2*m**2 - m - 10. Calculate t(d).
-10
Suppose 3*i = -2*q + 64, -i + 2*q + 96 = 4*i. Suppose -2*z - 5*g - 24 = 0, -2*z + 0*z - 4*g - i = 0. Let t(c) = 2*c**3 - 3*c - 2. Give t(z).
-12
Let l(f) = f**3 - 30*f**2 + 182*f + 142. Let x be l(21). Suppose 0 = -2*h + 6*h + o - 11, -h = -3*o - 6. Let c(a) = a**2 - h*a + 7*a - 4 + 1. What is c(x)?
2
Let b = 877 + -878. Let j(t) be the second derivative of 19*t**4/12 - t**3/6 - t**2/2 - 206*t. Give j(b).
19
Let h(u) be the first derivative of u**2/2 + 8*u + 1. Let b = 26086 + -26097. Give h(b).
-3
Let z(w) = -25*w**2 + 101*w - 15. Let u(o) = 9*o**2 - 35*o + 4. Let v(j) = -8*u(j) - 3*z(j). Give v(7).
-1
Let c(j) = 2*j**3 + 11*j**2 - j - 11. Suppose 566*w - 45 = 575*w. Let k be c(w). Let y(f) = f**3 - 18*f**2 - 20*f + 24. Give y(k).
5
Let z(r) = 6*r**3 - r**2 - 2*r - 1. Let i(h) be the first derivative of h**3/3 - 17*h**2/2 + 44*h - 33. Let u be i(8). Let q be 2/7 + 36/u. Determine z(q).
-6
Let g(l) = 2*l**3 - l. Let q be g(1). Let m be q/(-4) - (-27)/12. Let i(c) = m - 19 + 7 + c. Calculate i(7).
-3
Let o(q) = 8 + 52 - 8 + 5398*q - 5424*q + 2*q**2. Give o(11).
8
Suppose -3*y = h + 26, 3*h + 179 = 182. Let g(r) = 8*r + 71. Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
en that 3*f**4 + 78*f**3 + 756*f**2 + 3234*f + 5145 = 0.
-7, -5
Find z such that z**5/5 - 2*z**4 + 23*z**3/5 + 2*z**2 - 24*z/5 = 0.
-1, 0, 1, 4, 6
Find u such that -2*u**3 + 876*u**2 + 1758*u + 880 = 0.
-1, 440
Find l, given that l**4/2 + l**3/2 - 29*l**2 - 56*l = 0.
-7, -2, 0, 8
Solve y**5 + 11*y**4 + 38*y**3 + 52*y**2 + 24*y = 0.
-6, -2, -1, 0
Determine y, given that 36*y**5 + 180*y**4 - 1468*y**3 - 1588*y**2 - 360*y = 0.
-9, -2/3, -1/3, 0, 5
Factor 20*o**3 + 205*o**2 + 370*o + 80.
5*(o + 2)*(o + 8)*(4*o + 1)
Solve -3*t**3/5 - 3*t**2 + 3*t/5 + 3 = 0 for t.
-5, -1, 1
Let -4*k**4 - 4*k**3 + 24*k**2 + 16*k - 32 = 0. What is k?
-2, 1, 2
Solve m**5 - 102*m**4 + 2385*m**3 + 11236*m**2 = 0.
-4, 0, 53
Factor 3*r**2 - 51*r - 114.
3*(r - 19)*(r + 2)
Factor 5*i**5 - 35*i**4 - 390*i**3.
5*i**3*(i - 13)*(i + 6)
Factor 5*r**2 - 190*r + 1785.
5*(r - 21)*(r - 17)
Factor p**2 - 2143*p - 2144.
(p - 2144)*(p + 1)
Factor 4*d**4 - 20*d**3 + 32*d**2 - 16*d.
4*d*(d - 2)**2*(d - 1)
Factor 44*a**4 - 828*a**3 - 152*a**2.
4*a**2*(a - 19)*(11*a + 2)
Factor 38*n**3 - 4*n**2 - 38*n + 4.
2*(n - 1)*(n + 1)*(19*n - 2)
Suppose 4*n**5/17 - 10*n**4/17 - 8*n**3 + 70*n**2/17 = 0. What is n?
-5, 0, 1/2, 7
Factor -2*j**3/7 + 130*j**2/7 - 1118*j/7 + 990/7.
-2*(j - 55)*(j - 9)*(j - 1)/7
Factor -f**3/5 - 31*f**2/5 + 28*f.
-f*(f - 4)*(f + 35)/5
Factor -470*l**2/11 - 474*l/11 - 4/11.
-2*(l + 1)*(235*l + 2)/11
Factor 5*o**3 + 120*o**2 - 10240.
5*(o - 8)*(o + 16)**2
What is s in -12*s**4 + 164*s**3 - 104*s**2 = 0?
0, 2/3, 13
Let -b**5 + 6*b**4 + 3*b**3 - 20*b**2 + 12*b = 0. What is b?
-2, 0, 1, 6
Solve -20*p**5 + 12*p**4 + 328*p**3 + 528*p**2 + 160*p = 0.
-2, -2/5, 0, 5
Factor -8*d**3/3 + 10*d**2 + 104*d/3 + 8.
-2*(d - 6)*(d + 2)*(4*d + 1)/3
What is l in 4*l**3/7 - 20*l**2/7 + 16*l/7 = 0?
0, 1, 4
Determine z so that -5*z**2 - 65*z - 150 = 0.
-10, -3
Factor -3*u**3/5 - 27*u**2/5 - 69*u/5 - 9.
-3*(u + 1)*(u + 3)*(u + 5)/5
Solve -6*t**5 - 27*t**4 - 3*t**3 + 39*t**2 + 9*t - 12 = 0 for t.
-4, -1, 1/2, 1
Factor -4*x**2/5 + 12032*x/5 - 9048064/5.
-4*(x - 1504)**2/5
Factor -3*o**3/4 - 237*o**2/4 + 123*o/2 + 120.
-3*(o - 2)*(o + 1)*(o + 80)/4
Factor x**3 + 218*x**2.
x**2*(x + 218)
Factor -3*d**2/2 - 3*d + 9/2.
-3*(d - 1)*(d + 3)/2
Factor -3*z**2/5 - 6*z/5 + 144/5.
-3*(z - 6)*(z + 8)/5
Suppose -2*q**3/11 + 168*q**2/11 - 3528*q/11 = 0. What is q?
0, 42
Suppose 3*j**5/7 - 12*j**4/7 + 30*j**2/7 - 3*j/7 - 18/7 = 0. Calculate j.
-1, 1, 2, 3
Factor -t**2/3 + 76*t/3 - 148/3.
-(t - 74)*(t - 2)/3
What is t in t**2 + 134*t + 1240 = 0?
-124, -10
Find f such that -2*f**2 + 126*f - 124 = 0.
1, 62
Factor -2*x**3 - 42*x**2 - 168*x - 128.
-2*(x + 1)*(x + 4)*(x + 16)
Let 2*u**4 + 4*u**3 - 30*u**2 + 8*u + 40 = 0. What is u?
-5, -1, 2
Find q such that -4*q**2 + 32*q + 192 = 0.
-4, 12
Factor v**2 - 20*v - 384.
(v - 32)*(v + 12)
Determine c so that -5*c**3 + 10*c**2 + 5*c - 10 = 0.
-1, 1, 2
Factor -u**2/4 + 39*u/2 - 77/4.
-(u - 77)*(u - 1)/4
Solve 2*a**5/7 - 2*a**4/7 - 6*a**3/7 + 2*a**2/7 + 4*a/7 = 0 for a.
-1, 0, 1, 2
Suppose y**5/2 - 11*y**4 + 39*y**3 - 56*y**2 + 73*y/2 - 9 = 0. Calculate y.
1, 18
Solve -2*w**3/9 - 82*w**2/9 + 2*w/9 + 82/9 = 0 for w.
-41, -1, 1
Determine u, given that -5*u**4 - 15*u**3 + 90*u**2 + 160*u - 480 = 0.
-4, 2, 3
Determine b so that 6*b**4 + 21*b**3 - 33*b**2 - 66*b + 72 = 0.
-4, -2, 1, 3/2
What is a in -5*a**5 - 90*a**4 - 235*a**3 - 150*a**2 = 0?
-15, -2, -1, 0
Let 3*c**3/7 - 3*c**2/7 - 6*c/7 = 0. Calculate c.
-1, 0, 2
Suppose -6*b**5/7 + 96*b**4/7 - 456*b**3/7 + 492*b**2/7 + 66*b - 84 = 0. What is b?
-1, 1, 2, 7
Factor 2*o**2/5 - 14*o/5 - 3096/5.
2*(o -
|
{
"pile_set_name": "DM Mathematics"
}
|
54*v**3/3 + 3300*v**2. What is the derivative of i(j) wrt j?
-3294
Suppose 98*w - 8*w = 0. Let v(j) be the second derivative of -13*j**2 + 0*j**3 + 0*j**4 + 10*j + 1/10*j**5 + w. What is the first derivative of v(g) wrt g?
6*g**2
What is the third derivative of 2*q + 4*q**2 + 2713*q**6 - 2*q**2 - 218*q**6 - 36*q - 28*q**2 wrt q?
299400*q**3
Suppose u + 20 = 2*g, -u + 4 = g - 0. Suppose 12*c - g*c = 20. What is the second derivative of -4*j - 16*j**c + 0*j + 4*j**5 + 0*j wrt j?
-240*j**3
Let s(k) be the third derivative of -263*k**8/168 + k**6/60 + 8*k**5/3 + 2192*k**2. Find the third derivative of s(v) wrt v.
-31560*v**2 + 12
Let q(n) = -2*n**2 - 11*n - 5. Let r be q(-4). Differentiate -6*g**3 + 234 + r*g**2 - 298 - g**2 with respect to g.
-18*g**2 + 12*g
Let r(h) be the first derivative of 1/2*h**2 + 61*h + 46/3*h**3 + 78. Differentiate r(w) with respect to w.
92*w + 1
Let m(v) = 849*v**3 + 299*v - 8. Let c(h) = -848*h**3 - 299*h + 10. Let z(q) = -4*c(q) - 5*m(q). What is the second derivative of z(y) wrt y?
-5118*y
Let i = 346 + -316. Find the second derivative of -21*y + i*y**2 + 19*y - 48*y**2 + 1 wrt y.
-36
Let q(b) be the second derivative of 7*b**6/30 - 79*b**5/10 - 2531*b**2/2 + 4*b. Differentiate q(o) with respect to o.
28*o**3 - 474*o**2
Let o(z) = -1125*z**3 + 1064*z**2 - 2*z + 6. Let w(n) = 1126*n**3 - 1063*n**2 + 3*n - 9. Let p(b) = -3*o(b) - 2*w(b). Find the third derivative of p(l) wrt l.
6738
Let v be (-103)/((-25)/10 + 2). What is the second derivative of v*f - 6*f**2 - 141*f + 3*f**5 + 3*f**2 wrt f?
60*f**3 - 6
Let s = 53 + -38. Suppose -2*t - 8 = -30. What is the derivative of 14 + 7*r - s*r - 2 + t*r wrt r?
3
Let r(h) be the third derivative of -h**7/30 + 44*h**6/15 - h**5/60 + 5*h**4/6 - 2*h**3/3 - 3*h**2 - 95. Find the third derivative of r(g) wrt g.
-168*g + 2112
Let p be 3/15 - 5/((-50)/168). Suppose p = -3*k + 26. Find the second derivative of -3*z**5 + 0*z - k*z - 20*z**5 + 29*z wrt z.
-460*z**3
Let y(v) be the first derivative of v**6/6 - v**5 + 223*v**4/2 - 346*v**3/3 - 3*v**2/2 - 6622. What is the third derivative of y(l) wrt l?
60*l**2 - 120*l + 2676
Let p(h) = -173*h + 1739. Let k be p(10). Let a(z) be the first derivative of -k + 0*z - 17/3*z**3 + 7*z**2. What is the second derivative of a(b) wrt b?
-34
Let d(x) be the third derivative of -11*x**7/35 + x**6/60 - x**5/30 + 1201*x**4/24 - 19*x**2 - 177*x. Find the third derivative of d(p) wrt p.
-1584*p + 12
Let z = -547 - -1627. Let d = z + 647. Differentiate -17*l**3 - 10 - 1727*l + d*l wrt l.
-51*l**2
What is the second derivative of 2209*r - 37444*r**3 - 138*r + 74913*r**3 + 7*r**2 - 37997*r**3 wrt r?
-3168*r + 14
Suppose -13 = -5*u + 22. Let n be 5*(0 + (-8)/(-140))*u. Find the first derivative of 49*p**n + 11 + 9 - 36*p**2 wrt p.
26*p
Suppose -12 = 18*x + 8*x - 90. Let r(v) be the second derivative of -16*v - x*v**2 + 5/3*v**3 + 0. Differentiate r(a) wrt a.
10
Let h(p) = p**3 - 6*p**2 + 2*p. Let f be h(6). Suppose 15 - f = t. Find the third derivative of -9*k**2 + 26*k**t + 285*k - 16*k**2 - 285*k wrt k.
156
Let l(u) be the third derivative of 0*u**3 + 0 + 7/6*u**5 - 24*u**2 - 23/24*u**4 + 0*u. What is the second derivative of l(x) wrt x?
140
Suppose 3083 + 49 = 9*q. What is the second derivative of 174*p**2 + 174*p**2 - 214*p**3 + 2*p - 40 - q*p**2 wrt p?
-1284*p
Let j(z) be the second derivative of -4763*z**6/30 - 181*z**3/2 + z**2/2 - 3875*z. Find the second derivative of j(f) wrt f.
-57156*f**2
Find the third derivative of -1936*i**5 - 1004*i**2 + 334*i**2 + 796*i**2 + 256*i**2 + 1846*i**2 wrt i.
-116160*i**2
Let g(b) be the second derivative of -1/12*b**4 + 0 - 7/20*b**5 - 5*b**2 + 21*b - 2/3*b**3. Find the second derivative of g(f) wrt f.
-42*f - 2
Let v(j) = 2*j**3 - 23*j**2 + 14*j - 30. Let b be v(11). What is the third derivative of -10*k**3 - 5*k + 119*k**b + 15*k + 2*k**2 wrt k?
654
Let a = -31 + 93. Let k be a/(-16)*-2 - (-3)/(-4). What is the second derivative of 7*o + 13*o**2 + 7*o**2 + k*o wrt o?
40
Let r = -33 + -4. Let q = r + 39. Differentiate 11*f**q - 30 - 11*f**2 - 32*f**3 with respect to f.
-96*f**2
Suppose 0 = 7*d - 16 - 5. Let c be ((-3)/d - -1) + 3. What is the first derivative of 4*o**3 - 35 + 6 - 2 + 34*o**c wrt o?
114*o**2
Suppose -12*u + 8*u - 552 = -4*a, 3*u - 730 = -5*a. Find the first derivative of -143*m**2 - 30*m**4 - 117 + a*m**2 wrt m.
-120*m**3
Let o(c) = 38*c**3 + 36*c**2. Let q(f) = 32*f**2 + 39*f**3 + 0*f**3 + 0*
|
{
"pile_set_name": "DM Mathematics"
}
|
**3) to i*d**2 + c*d**3 + l + n*d and give c.
834
Rearrange -12776*u + 12776*u - 1506 - 2*u**3 - 1196 to the form d + w*u**2 + p*u**3 + o*u and give w.
0
Express -7 - 2*d + 339*d**4 - 76*d**4 + 14*d**2 - 270*d**4 in the form z*d**4 + s*d**3 + t*d + a*d**2 + u and give u.
-7
Rearrange -109 - 32*j - 4*j + 18 - 3 to the form i + m*j and give i.
-94
Express 36 + 23 - 3*z**2 - 89 + 29 - 3*z + 4*z**3 in the form r*z + q*z**2 + b + p*z**3 and give r.
-3
Express 38*u**2 + 8*u**2 - 12*u**2 + (-3*u + 2*u + 0*u)*(-22 + 22 - 7*u)*(-2 + 3 - 2) in the form y*u + j + t*u**2 and give t.
27
Rearrange (0*x**2 - x**2 + 0*x**2)*(838 + 1237 - 447)*(15 - 15 - 6*x) to v*x + c + r*x**2 + t*x**3 and give t.
9768
Express 2*r**2 - 5*r**2 + 4763*r**3 - 71 - 4762*r**3 - 4*r**2 in the form m*r**2 + j*r**3 + t*r + s and give j.
1
Rearrange (0*i**2 + 4*i**2 + 0*i**2)*(9565 - 7294 - 2*i + 17109) to the form n*i + d + l*i**3 + r*i**2 and give l.
-8
Rearrange -2974 - 5867*q + 3587 - 5868*q + 11733*q + 3366 to the form v*q + b and give v.
-2
Express -2856*x - 1020*x - 3528*x as t + s*x and give t.
0
Rearrange 11*y**3 - 2*y**3 - 63 + 2*y - 11*y**2 - 10*y**3 + 13*y**2 - y**3 to r*y**2 + a*y + w*y**3 + m and give m.
-63
Express -54*c**3 - 23*c**3 + 26*c**3 + (2*c + 6*c - 4*c)*(0*c**2 + 5*c**2 - 2*c**2) in the form q + w*c + i*c**3 + j*c**2 and give i.
-39
Rearrange (2 + 23*p - 6*p - 3)*(-77*p - 54 + 54 + 2*p - 3*p - p + (-3 + 5 - 3)*(-3*p + p + 0*p) + 2*p - 3*p + 0*p) to the form b*p**2 + q + x*p and give q.
0
Rearrange -13*g + 6*g**4 + 0 - 36*g + 5*g**3 + 8*g**4 - 3 - 13*g**4 to the form l*g**2 + p*g**3 + x*g**4 + i + d*g and give p.
5
Express -1392*l**2 + 3*l**3 + 1390*l**2 + 3*l**3 - 8*l**3 - 717*l**4 + 2 in the form t*l + h*l**2 + f*l**4 + m*l**3 + y and give y.
2
Rearrange 2 + 15 - 4*f - 19 + 19*f**2 - 11*f - 71*f to q + b*f + a*f**2 and give b.
-86
Express 2839404*c**2 - 2839404*c**2 - 87*c**3 - 8*c as t*c**3 + r + n*c**2 + w*c and give n.
0
Express -12*z**3 - 4*z**3 + 14*z**3 - 3*z**2 + 5*z + 15 - 8 - z as f + w*z + l*z**2 + v*z**3 and give f.
7
Express 1173 + 3950 - 117 + 2980 - 1228 - x in the form h + t*x and give t.
-1
Rearrange 3879*c - 1430*c + 3890*c + 208*c + 851*c to the form y + z*c and give y.
0
Express (-1 - 3 + 3)*(-2 - 141 - 386)*(-3*b + 2*b - b) - 3*b + 3*b - 2*b + 2*b + 3*b - 3*b in the form v*b + l and give v.
-1058
Rearrange -d**3 + 21226*d**4 - 21230*d**4 - 24*d + 2*d**2 - 55*d + 0*d**3 to the form p + g*d**4 + n*d**2 + k*d + q*d**3 and give g.
-4
Rearrange (235*k - 457*k + 42 + 223*k)*(1 - 6 + 2)*(7 - 5 + 5) to the form o*k + s and give s.
-882
Express 5*t**2 + 0*t**2 - 201353*t + 201536*t + (0*t + 0*t + t)*(t + 5*t - 5*t) in the form n*t + o*t**2 + l and give n.
183
Rearrange (4 + 0 - 3)*(-7*i + 7 + 12*i - 10*i) + 251*i + 260*i + 324*i - 160*i to u + w*i and give u.
7
Rearrange (-4*r + 6*r - 3*r)*(-9781 + 31165 + 43767) to the form u*r + l and give u.
-65151
Express 593*j**4 - 1208*j**4 - 8*j**3 + 599*j**4 + 1 as k + u*j**4 + c*j + z*j**2 + q*j**3 and give k.
1
Rearrange 1796 - 112*i + 354*i + i**4 - 1801 to j*i + p + x*i**3 + o*i**2 + r*i**4 and give p.
-5
Express -24 + 7211*k + 24 - 4697*k + 10159*k as l*k + x and give x.
0
Express -16*t**3 - 3*t**2 + 8*t + 42*t - 14*t - t**3 + 2 + t**4 + 13*t**3 as z + l*t**2 + y*t**4 + n*t**3 + s*t and give s.
36
Express -500*w**2 + 2*w**3 - w - 1408*w**2 - 98*w**2 as a*w**2 + r + t*w + p*w**3 and give p.
2
Express -172*s + 3*s**4 + 233*s - 46*s**3 - 50*s as r*s + t*s**3 + j + o*s**4 + a*s**2 and give t.
-46
Rearrange (-6*z**2 + 4 - 4)*(-1235 - 908 + 3887 - 1410 - 946) to c + q*z**2 + o*z and give o.
0
Express (23*u + 19*u - 104*u)*(-295 + 141 + 149) in the form t + q*u and give q.
310
Rearrange (4 - 2 + 4 - q)*(q + 283 + 336 - 415) to c*q**2 + j*q + t and give c.
-1
Express (-k + 4*k - 4*k)*(-165*k**2 + 477*k - 477*k)*(-13*k - 36 + 36) in the form s + m*k**3 + i*k**4 + y*k**2 + j*k and give i.
-2145
Rearrange -69*u - 475*u - 150*u - 322*u to the form a + x*u and give x.
-1016
Rearrange 8*k + 24 + 20 - 50*k + 12*k to x + s*
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -y = -r - 4*r. Suppose 4*h = -2*k + 1 + r, 5*h - 15 = 0. What is the highest common factor of 12 and k?
4
Let p = 18 + -16. Calculate the greatest common factor of p and 4.
2
Suppose 20 = -0*m + 4*m - 4*d, -2*m = 5*d - 38. Suppose -4*r + 106 = 5*b, 3*b - r + 94 = 8*b. Calculate the greatest common factor of m and b.
9
Suppose -4*d - 30 = 2*v - 0*v, -d = -4*v - 15. Let g(m) = -3*m + 1. Let l be g(v). What is the greatest common divisor of l and 2?
2
Suppose 117 = l + 47. Let q be (28/16)/(1/16). What is the greatest common factor of q and l?
14
Suppose -g + 4*g = 0. Suppose g = -t + 4. Suppose n = 4*n - 96. What is the highest common divisor of t and n?
4
Let i(h) = h - 3*h + 1 + 2*h**2 + 3*h - 6. Let w be i(3). Calculate the highest common divisor of 4 and w.
4
Let d be -1 - ((2 - 1) + -270). Let h = -160 + d. Let w be -3 - 489/(-33) - 2/(-11). What is the greatest common factor of w and h?
12
Let l(h) = h**3 - 3*h**2 + 3*h - 3. Suppose 6 = -5*n + 16. Let m be l(n). Let b be m - (-17 - -1*2). What is the greatest common factor of 126 and b?
14
Suppose 12 = 3*n - 45. What is the highest common divisor of 209 and n?
19
Let r = 122 - 82. Let z = -16 + r. Let j be 12 + (-4)/4 - 3. What is the greatest common divisor of j and z?
8
Let o = -14 - -44. Suppose 3*p = 9 + 21. What is the highest common factor of p and o?
10
Let i(r) = -r**2 - 4*r - 3. Let k be i(-4). Let y be (1 + 104)*(-1)/k. Calculate the highest common factor of 7 and y.
7
Let k(z) = z**3 + 14*z**2 - 4*z - 4. Let b be k(-14). Calculate the greatest common divisor of b and 4.
4
Let i be (-6)/21 + 23/7. Let f be 14*(i + 0)/3. What is the greatest common factor of f and 112?
14
Let k be (-4 - (-48)/9)*9. What is the highest common divisor of 8 and k?
4
Suppose 172 = 5*c - 4*y, -2*y - 2 = 2*c - 78. Suppose 3*h + 8 = 5*h. Calculate the greatest common factor of h and c.
4
Suppose 2*c - 42 - 48 = 0. What is the greatest common divisor of 15 and c?
15
Let g = -47 - -91. What is the highest common factor of 11 and g?
11
Let c(d) = -8*d**2 - 4*d + 6. Let q be c(5). Let v = q - -319. Let s = v + -35. What is the highest common factor of 28 and s?
14
Let a be 16 + -13 + (-7)/(-1). What is the highest common divisor of a and 6?
2
Let q(p) = 12*p + 6. Let t be q(-4). Suppose -36 - 23 = -y. Let i = y + t. Calculate the highest common divisor of i and 34.
17
Let r(k) = 2*k**2 + 4*k - 12. Let u be r(-5). What is the highest common divisor of u and 9?
9
Suppose -5*b + 15 = -165. Let d(n) = -n**2 - 10*n + 3. Let g be d(-6). Let l be 6/g - (-428)/18. What is the highest common factor of b and l?
12
Suppose -44 = -2*f + 10. What is the greatest common divisor of 18 and f?
9
Suppose 8 = -2*r - 3*p - 0, 3*r - 3*p - 3 = 0. Let y = 19 - r. What is the greatest common factor of y and 20?
20
Let m(q) = q**2 + 6*q - 10. Let t = -68 + 95. Suppose 0 = o - 4*o - t. Let v be m(o). Calculate the highest common divisor of v and 119.
17
Suppose -2*r = 4*r - 126. Calculate the highest common divisor of 252 and r.
21
Suppose 0 = 4*s - 2*w - 14, -2*s = s + 2*w. Suppose -s*x = -2*i + 3*i + 15, i + 5 = 3*x. Let z = 23 + i. What is the highest common divisor of 12 and z?
12
Suppose 4*f - z = 572, -15 = -4*z + 1. Suppose -x + 3*x - f = 0. Suppose -3*h + 0*r = 3*r - 30, 0 = -5*r + 10. What is the highest common divisor of h and x?
8
Let q = 23 + -5. Suppose p - 1 = -0*p. Let g be 6/(3 - p) - 1. Calculate the greatest common factor of g and q.
2
Suppose 2*m - 4*w = 56, 0 = 4*m - m - 5*w - 86. Calculate the greatest common divisor of m and 256.
32
Suppose 6*q = 3*q + 2*y + 94, 2*q - 3*y = 66. Calculate the highest common divisor of 40 and q.
10
Let m(k) = -k**3 + 3*k**2 - 4*k. Let i be m(3). Let o be (-40)/(2*3/i). What is the highest common divisor of o and 16?
16
Let m be (-6)/9*-9*1. Calculate the highest common divisor of m and 12.
6
Suppose 8*n - 4*n = 48. Calculate the greatest common divisor of n and 30.
6
Let o(f) = f**2 + 8*f - 1. Let d be 1*-3*(-6)/(-2). Let c be o(d). What is the greatest common divisor of c and 24?
8
Suppose 3*j + 48 = 7*j. Calculate the greatest common divisor of j and 108.
12
Suppose -2 = -b + 2*b. Suppose -w = -x + 3, -w + 0*x - 18 = -4*x. Let l be 8 - (b + 3 - w). What is the greatest common factor of l and 1?
1
Suppose -5*f - 5*j = -25, -7 = -4*f - 5*j + 17. Let g(s) = 4*s**2 + 3 - 4*s + s**2 - 4*s**2. Let n be g(4). What is the greatest common factor of f and n?
1
Let x(o) = -8*o + 11. Let k be x(-10). Let q be (26/8)/((-1)/(-4)). What is the greatest common divisor of q and k?
13
Let u = -5 + 8. Suppose -4*o - 54 = -9*o - 3*l, u*o - 28 = -4*l. Suppose o = 5*z - z. What is the greatest common factor of 21 and z?
3
Let h(s) = 3*s - 13. Let v be h(8). Calculate the greatest common factor of v and 2.
1
Let m = 51 - 9. Calculate the highest common divisor of 56 and m.
14
Suppose 2*n = 7*n. Suppose n = -3*v - 2*w + 129, 0*w + 3*w = -v + 50. Let y = -22 + v. What is the highest common factor of y and 19?
19
Suppose -5*a + 340 = 4*b, -5*b + 2*a = -420 - 38. Calculate the greatest common factor of b and 60.
30
Let x be 3 - (0 + 1 - 31). Calculate the greatest common factor of x and 3.
3
Suppose 0 = -6*w + 11*w - 20. Suppose -2*l + x + 6 = 0, 3*l - w*x - 4 + 5 =
|
{
"pile_set_name": "DM Mathematics"
}
|
the thousands digit of m(-13)?
3
Let f = -17 - -17. Suppose -3*y + 144 - 57 = f. What is the units digit of y?
9
Let c(r) = r**3 + 8*r**2 + 11*r + 15. Let d be c(-6). What is the tens digit of 8*d*(-4)/(-24)?
2
Let a be 4/(-22) + (-24)/(-11) - 11. Let i = a - -105. What is the tens digit of i?
9
Suppose -47 = -3*d - 2. Let x = d + -12. Suppose x*l = -24 + 207. What is the units digit of l?
1
Suppose 3499 + 6691 = 10*n. What is the tens digit of n?
1
Let q(o) = -5*o + 15. Let f be q(7). What is the units digit of 36 - (-12)/(f/(-5))?
9
Let o be (-1 - 2/(-2)) + 0. Let f be (-14 - -10)*(0 - 1). Suppose c = 4*z - 2, f*z - 8 = -2*c - o*z. What is the units digit of c?
2
Suppose 0 = 179*w - 172*w - 119. What is the units digit of w?
7
What is the tens digit of 5 + (6 - 21150/(-9))?
6
Suppose z - 4 = 4*u - 0, 3*u = -z + 4. Suppose -z*a - 5*p = 39 - 172, -99 = -3*a - 4*p. What is the tens digit of a?
3
Let n(d) = d + 21. Let g be n(-12). Suppose -w - g = -10. What is the units digit of (1 + (0 - -16))/w?
7
Let a = 6 + -17. Let d = -7 - a. Suppose b - d*b + 69 = 0. What is the units digit of b?
3
Suppose -1864 = -8*d - 72. What is the hundreds digit of d?
2
Let c = -197 - -500. What is the hundreds digit of c?
3
Let g(w) = -w**2 + 4*w + 4. Let n be g(6). Let s(k) = -k - 10. Let l(c) = -3*c - 21. Let u(z) = 3*l(z) - 7*s(z). What is the tens digit of u(n)?
2
Let u(s) = s**2 + 3*s + 2. Let p be u(-3). Let j(c) = c**3 + 0*c**3 + 9*c**p + 7 - 4*c**2 - c. What is the tens digit of j(-5)?
1
Let f = 767 + 625. What is the hundreds digit of f?
3
Let k(w) = -9 + 18*w + 6*w - w**3 - 32*w + 9*w**2 + 21. Suppose c + d - 9 = 0, -5*c + 4*d + 1 + 35 = 0. What is the units digit of k(c)?
2
Let a be (12/24)/((-2)/(-208)). Let w = -18 + a. What is the units digit of w?
4
Suppose 4*k = -0*k + 20. Suppose -3*n = k*n - 2000. Suppose 5*i + 2*t - n = 0, -i = t + 4*t - 73. What is the units digit of i?
8
Suppose 3*n + 418 - 514 = 0. What is the tens digit of n?
3
Let y(s) = s**3 + 11*s**2 + 4*s + 2. Let b be y(-5). Suppose 0 = 6*p - 0*p - b. What is the tens digit of p?
2
Suppose -1 = -s, -31*g + 30*g - 4*s = -1055. What is the units digit of g?
1
Suppose -5*z + q + 4379 = 0, 68*q - 1 = 67*q. What is the tens digit of z?
7
Let b be (1 + -3)*(-3)/((-3)/(-16)). Let y = -12 + b. What is the units digit of y?
0
What is the units digit of 8 + (-1019)/(-2)*4?
6
Let u = 394 - 201. What is the units digit of u?
3
Let j be (3*3)/(9 + -6). Suppose 0 = 6*t - j*t - 39. What is the tens digit of t?
1
Let h = 39 - 49. Let x(y) = 2*y**2 + 9*y - 14. What is the units digit of x(h)?
6
Let w(j) = -114*j - 35. What is the units digit of w(-9)?
1
Let d = -344 + 2344. What is the units digit of d?
0
Let g(m) = 13*m. Let h be g(3). Suppose 6*q + h = 147. Suppose 0 = -6*r - q + 342. What is the tens digit of r?
5
Let k(w) = 6*w**2 - 2*w + 3. Suppose c - 2*y + 4 = 0, -2*c = 2*c + y - 11. Suppose -u = -2*u + c. What is the tens digit of k(u)?
2
Let b(d) = d**3 + 11*d**2 - 6*d - 4. Let u be b(-11). Let h = u + 13. What is the tens digit of h?
7
Let a = 59 - 53. What is the units digit of a/(-2) - (-4 + -69)?
0
What is the hundreds digit of ((-64)/(-160))/(1/10) + 402?
4
Let p(d) = 9*d - 3. Let m be p(1). Suppose -m*a - 2 = -5*a. Let r(j) = -15*j + 3. What is the tens digit of r(a)?
3
Suppose -5*t + 31 = -2*n, t + 2*t = -5*n. Let a be 4/12 + t/3. Suppose -3*k - 2*k - 2*b = -85, 20 = 2*k - a*b. What is the units digit of k?
5
Suppose -2*p + 3*p = 5. Suppose p*q - 239 = -4*j, j - 4*q = -19 + 84. What is the tens digit of j?
6
Let v be (-203775)/(-231) + (-2)/14. Suppose 3*t - 2*d - 769 = 0, -v - 401 = -5*t + 2*d. What is the hundreds digit of t?
2
Let i be (-2 + -4)*(-2)/(-6). Let k(l) = l**2. Let d be k(i). What is the units digit of -1*8*(-21)/d?
2
Let h be -5*(0 + 1)*1. Suppose 8*n - 27*n - 57 = 0. What is the tens digit of (3 + h - n)*41?
4
Let n(o) = -o**2 - 6*o + 2. Let q(r) = 3*r**2 + 11*r - 5. Let a(y) = -5*n(y) - 2*q(y). Let u be a(7). Let p = u - -16. What is the units digit of p?
3
Suppose 0 = w + 1 - 118. Let m = w + -70. What is the units digit of m?
7
What is the units digit of ((-840)/200)/((-14)/20)?
6
Let u be (102/8)/(6/64). Suppose -l + 26 = -5*v, 5*l - 4*v - 99 = u. What is the tens digit of l?
5
Let j(a) = a**2 + 7*a + 10. Suppose 6 = -4*k - 18. Let h be j(k). Suppose 3*u = h*z + 21, 5*u - 33 = 5*z + 2. What is the units digit of u?
7
Let c = 1931 + 3029. What is the units digit of c?
0
Suppose -3*k = 2*k - 735. Suppose 4*b - 451 = -k. Suppose 6*q = 2*q + b. What is the units digit of q?
9
What is the hundreds digit of (-2790)/(-27)*(22/4 + -1)?
4
Suppose 7*j = 6*j + 40. Suppose -13
|
{
"pile_set_name": "DM Mathematics"
}
|
plify 2 + -4 + (5 + sqrt(320) - (sqrt(5) + 2*sqrt(40)/sqrt(8)) - (-2 + 2 + 1 + sqrt(5) + ((sqrt(220)/sqrt(4))/sqrt(11))**2)).
-3 + 4*sqrt(5)
Simplify (5*(2*sqrt(76)*1 + 5*sqrt(76)*2))/(((sqrt(264)*-2)/sqrt(6))/(sqrt(176)*-5)).
600*sqrt(19)
Simplify -1 + (0 + -1 + sqrt(147))**2 + -1 + -5 + -6*(sqrt(147)*-1)**2 + 3.
-738 - 14*sqrt(3)
Simplify 2 + (((sqrt(1300) - (-2 + 1*sqrt(1300))) + sqrt(1300))**2 - sqrt(1300)) + 3 + ((sqrt(1300)*-1*-4 + sqrt(1300) + -5)*4)**2.
-7970*sqrt(13) + 521709
Simplify (1*(-2 + sqrt(176)*-5) - (-3*sqrt(66)*-1)/(sqrt(864) - sqrt(54)))**2.
244*sqrt(11)/3 + 40967/9
Simplify -3 + 4*(5*(sqrt(1862)*1 - sqrt(1862)))/(3*2*sqrt(288)).
-3
Simplify ((sqrt(1539) + sqrt(1539) + 1 + 3 + 1)*-3)**2 - ((-2*sqrt(1539) + -1 + 2 + (sqrt(1539) + 0 - sqrt(1539)))*3)**2.
216 + 1944*sqrt(19)
Simplify (sqrt(52) + sqrt(208))**2*-6*-4 + -3 - -4*(sqrt(104)/sqrt(128) - sqrt(13) - ((sqrt(156)*3)/sqrt(12))**2).
-3*sqrt(13) + 10761
Simplify (-4 + (sqrt(1539) - (-1 + sqrt(1539))) - ((sqrt(1539) + 1 - sqrt(1539))*-5)**2 - (4*(sqrt(1539)*-2 - sqrt(1539)) - -2*(0 + sqrt(1539)))*-6) + -2.
-540*sqrt(19) - 30
Simplify (1*(-2*sqrt(320)*-2 + 4) + (sqrt(320) + -2 + -3 - (sqrt(320) + -1 + sqrt(320) + -3)))**2.
144*sqrt(5) + 2889
Simplify (2*-1*sqrt(70)*-2*4)/(4*(sqrt(40)/sqrt(2))/sqrt(2)*3).
4*sqrt(7)/3
Simplify (-5 + (sqrt(10)/sqrt(45))**2)*5 - (-3*(sqrt(2) - sqrt(6)/sqrt(75) - sqrt(2)))**2*6.
-6347/225
Simplify -2 + (-2*(sqrt(832) + 3) + sqrt(832) + 0)**2 + (-2*-1*(sqrt(832) - (sqrt(832) - -1*(sqrt(832) - (sqrt(832) + 3)))))**2.
96*sqrt(13) + 902
Simplify (sqrt(18)/(-2*sqrt(9)) + sqrt(2) - ((sqrt(242) + -1*sqrt(242))**2 + sqrt(242))) + 5 + (sqrt(8)/sqrt(4) + -2 - (sqrt(32) + 0)).
-27*sqrt(2)/2 + 3
Simplify (sqrt(99)*1*-6*2*-4 + 3 + 4)*3.
21 + 432*sqrt(11)
Simplify (sqrt(8)*-4 - (sqrt(2) - (sqrt(200) + 2*sqrt(200))) - (-4*sqrt(14)/sqrt(7) + -3)*-3)**2.
-162*sqrt(2) + 243
Simplify (4*(2*4*sqrt(153))/(-6*sqrt(90)/sqrt(10)) + 2)**2.
-64*sqrt(17)/3 + 4388/9
Simplify (-1*(((sqrt(143)*-2 - sqrt(143)) + sqrt(143))*2 - sqrt(143)*-1*5))/(4*(sqrt(99) + (sqrt(99) - (sqrt(99) + sqrt(99)*3)))*3).
sqrt(13)/72
Simplify ((3*(1 + sqrt(171)) - sqrt(171) - (sqrt(171) + -1)*6) + -4 - 3*4*(sqrt(171) + 1 - sqrt(171))*5)**2.
1320*sqrt(19) + 5761
Simplify ((0 + sqrt(245) + (1 + sqrt(245))*1 - ((sqrt(245) + 1)*-5 + sqrt(245))*-2)*-1*-5)**2.
18900*sqrt(5) + 222525
Simplify (sqrt(75) + -3 + 0 + -3 + (sqrt(75) + (sqrt(75) - (2 + sqrt(75))))*-5 + (2*sqrt(75) + -5 - sqrt(75)))**2.
30*sqrt(3) + 676
Simplify -5*4*(sqrt(1584)*-1 + sqrt(1584) + sqrt(11))**2 + 1*(3 + sqrt(33)/sqrt(3) + -2).
-219 + sqrt(11)
Simplify 4*(3 + (sqrt(99) - sqrt(99)*-1)*2) + -3*1*sqrt(99)*-2 + -2 + 2.
12 + 66*sqrt(11)
Simplify (3 + (sqrt(208)/(sqrt(324) + (sqrt(324) - -2*sqrt(324)) + sqrt(324) - sqrt(324)))/((-1*sqrt(112))/sqrt(7)))*-6.
-18 + sqrt(13)/12
Simplify ((5*(sqrt(72) - (sqrt(72) - (sqrt(72)*2 + sqrt(72)))))/((2*sqrt(6) + sqrt(6))*-1))/(1*sqrt(6)*-1 + sqrt(30)/(-2*sqrt(5))).
10*sqrt(2)/3
Simplify ((sqrt(130) - -4*sqrt(130))/sqrt(10) - (-3 + 0 + sqrt(13)))**2*-6 - (2*(sqrt(117) - (sqrt(117)*2 - sqrt(117))) + sqrt(117))/(sqrt(324)*3).
-1302 - 2593*sqrt(13)/18
Simplify -3*(6*sqrt(336)*2)/(sqrt(448)*-2)*2*-4.
-72*sqrt(3)
Simplify (4*sqrt(121)*-2 + sqrt(121) + (3*sqrt(121)*-1 - sqrt(121)))/(1*(sqrt(880)*6)/sqrt(5)).
-11*sqrt(11)/24
Simplify (0 + ((sqrt(720)*1)/sqrt(10)*-5 - (-1*-1*sqrt(2) - (-4 + (sqrt(2) - (2 + sqrt(2)))))))**2 + -4.
372*sqrt(2) + 1954
Simplify ((sqrt(275)*2 + sqrt(11) + -3)*6 - (-1 + (sqrt(11)*2 + sqrt(11))*5 + 0))**2.
-1734*sqrt(11) + 28900
Simplify -3 + ((2*sqrt(416) + sqrt(416))*4)/(2*(sqrt(162) - (1*sqrt(162) + sqrt(162)))).
-8*sqrt(13)/3 - 3
Simplify ((2*sqrt(252)*3 + sqrt(252) - sqrt(252) - sqrt(252))/(-2*sqrt(175)))/(-6*(sqrt(1200) - sqrt(1200)*-1 - sqrt(1200))*-6).
-sqrt(3)/720
Simplify (-3 + sqrt(8)*3*3 + 5 + (sqrt(98) + -4)*5 + sqrt(98))**2.
-2160*sqrt(2) + 7524
Simplify sqrt(26)/(-4*sqrt(72))*-6 - ((sqrt(637))**2*2 + (sqrt(13) - 6*(2 + sqrt(13)))**2).
-1743 - 479*sqrt(13)/4
Simplify 3*(sqrt(1210) - (sqrt(1210) + sqrt(1210) + sqrt(1210) + sqrt(1210) + (1*sqrt(1210) - sqrt(1210)))*-6)/((sqrt(12)*-4*-5)/sqrt(6)).
165*sqrt(5)/4
Simplify ((sqrt(21)/(sqrt(9)/sqrt(3)) + (sqrt(224)/sqrt(4))/sqrt(8) - (sqrt(700) - (-1 + (sqrt(700) - 2*sqrt(700))))) + (0 + 2*sqrt(14)/(sqrt(2)*-2))*2)**2.
40*sqrt(7) + 2801
Simplify ((((sqrt(3600) + (sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
ded by v?
12
Let q be 2 - ((-3)/(-2))/((-3)/6). Suppose -2*m + q*o = 3 + 1, -5*m + 20 = -5*o. What is the remainder when 54 is divided by m?
6
Let h(n) = 2*n + 76. Let a(q) = -3*q - 153. Let g(k) = -3*a(k) - 5*h(k). Calculate the remainder when g(13) is divided by 34.
32
Let k(d) = -d**3 + 6*d**2 + 8*d + 8. Let q = 139 - 110. What is the remainder when q is divided by k(7)?
14
Suppose 356*p - 352*p = 100. Calculate the remainder when 222 is divided by p.
22
Let s be (10/30)/((-2)/(-42)). Let t(h) = 3*h**2 - 14*h - 17. What is the remainder when t(s) is divided by 9?
5
What is the remainder when (-3)/((-6)/4*(-10)/(-4855)) is divided by 12?
11
Let l = -13 + -28. Let b = l - -85. What is the remainder when b is divided by (-12 - 2)/(-1) - 2?
8
What is the remainder when -8 + (-6566)/(-13 - 1) is divided by 153?
2
What is the remainder when (-2 - -2) + 168 - (9 - 8) is divided by 54?
5
Let a be -2 + 180/8 - (-1)/2. Suppose 27 + a = 6*t. What is the remainder when 6*3*(-10)/(-6) is divided by t?
6
What is the remainder when (-36)/6*(82/(-12) + -1) is divided by 26?
21
Suppose -o + 94 = -a + 9, 3*a + 12 = 0. Calculate the remainder when o is divided by 63.
18
Let m = 55 + -94. Let x = m - -95. Calculate the remainder when x is divided by 58/((-8)/(-2) + 20 + -22).
27
Let c be (5/2)/((9/102)/3). Let g = c + -65. Calculate the remainder when g is divided by 8.
4
Calculate the remainder when 277 is divided by (-70)/7*1*-4.
37
Let i(o) = o**3 + 4*o**2 - 3*o + 1. Suppose 2*v + 39 = -3*z, 3*v = -2*z - 6 - 15. Let u = 20 - z. What is the remainder when u is divided by i(-3)?
16
Let d = 18 - -60. Calculate the remainder when d is divided by 44.
34
Suppose 3*i = 5*a - 131, -4*a - 23 = 3*i - 144. What is the remainder when 192 is divided by a?
24
Suppose -2*k + 549 = x, 2*x + 2211 = 8*k + 3*x. What is the remainder when k is divided by 57?
49
Let x be 0 + 2 - (-186 + 5). Let q = x - 127. Calculate the remainder when q is divided by 30.
26
Suppose -15*o + 1135 + 290 = 0. Let n = 3 + 3. Suppose -h - o = -n*h. What is the remainder when h is divided by 7?
5
Let u = -317 - -333. Calculate the remainder when 55 is divided by u.
7
Suppose 0 = g - 0*g - 8. Let z(l) be the third derivative of l**4/24 - l**3/2 + 7*l**2. Calculate the remainder when z(g) is divided by 2.
1
Suppose -8*s = -0*s - 440. Suppose -v + 12*b + 4 = 10*b, 5*v - 3*b - s = 0. What is the remainder when v is divided by 5?
4
Let n(y) = 26*y**2 - 2*y - 15. What is the remainder when n(-3) is divided by 78?
69
Let j(b) = -b + 62. Let l be j(0). Suppose -l = -6*w + 4*w. Calculate the remainder when 92 is divided by w.
30
Let r(s) = s**3 - 9*s**2 - 13*s + 13. Let a be r(10). Let t = 44 + a. What is the remainder when t is divided by 15?
12
Let j = 74 + -35. Let q = j + -25. Calculate the remainder when 55 is divided by q.
13
Let o = 171 - 95. Let r = 30 + -10. Calculate the remainder when o is divided by r.
16
Let r(v) = -v**3 - 2*v + 2. Let o be r(0). Suppose -5*s - o*p = -107, -3*p - 65 = -3*s - 4*p. Calculate the remainder when s is divided by 13.
10
Let b = 103 - 97. Calculate the remainder when 59 is divided by b.
5
Suppose -358 = 5*i - 1108. Calculate the remainder when i is divided by 52.
46
Suppose 0 = -2*o + 2 + 30. Suppose 4*m + o = -0*x + x, x - 3*m = 13. Let l = x - -2. Calculate the remainder when 9 is divided by l.
3
Let h(y) = 8*y**2 - 4*y - 7. Let m(d) = 9*d**2 - 3*d - 7. Let x(k) = 6*h(k) - 5*m(k). Calculate the remainder when x(7) is divided by 16.
13
Let n(z) = z**3 + 16*z**2 - 30*z - 28. What is the remainder when n(-17) is divided by 87?
19
Suppose 15 = 4*x + x. Let i = x + 11. Calculate the remainder when 726/i - (-2)/14 is divided by 27.
25
Suppose 144 + 72 = 4*z. Let x = 72 - 49. Suppose 3*l = -l - 4, -5*l = m - x. What is the remainder when z is divided by m?
26
Let k(w) = -w**2 - 6*w + 2. Let j(r) = -7*r + 3. Let u(d) = 6*j(d) - 7*k(d). What is the remainder when u(-2) is divided by 7?
4
Let d(z) = -z**3 - 19*z**2 - 7. Let s be d(-19). What is the remainder when (4356/231)/((-2)/s) is divided by 23?
20
Suppose 2*u - 4*u + 120 = 0. Suppose -5*q - 55 = -4*g, -7*g + 80 = -2*g + 5*q. Calculate the remainder when g is divided by 228/u - (-1 - 4/(-5)).
3
What is the remainder when 303 is divided by ((-2)/(-3))/(15*(-24)/(-4320))?
7
Let d = -23831 + 23845. Suppose 4 = -w - 2. Calculate the remainder when (-1 + 34/w)*-6 is divided by d.
12
Suppose 0 = 5*b - 5*t - 65, 0*t - 2*t - 62 = -4*b. Calculate the remainder when (-2)/(-12) + 1005/b is divided by 16.
8
Let h(j) = j**2 - j + 1. Let x(s) = 7*s**2 + 3*s + 12. Let k(c) = 6*h(c) - x(c). Suppose -46*v = -35*v + 66. What is the remainder when 34 is divided by k(v)?
10
Let f(o) = 2*o**2 - 9*o + 11. Let l be f(6). Let t = 34 - l. What is the remainder when 18 is divided by t?
3
Let b = -43 - -26. Let p = b - -35. Calculate the remainder when 34 is divided by p.
16
Suppose -5*t + 2*x + 1 = -99, 0 = -2*t - 2*x + 40. What is the remainder when 272 is divided by t?
12
Suppose 24 = 5*v - 36. Suppose 16*g - 1479 = -567. What is the remainder when g is divided by v?
9
Suppose 4*s + 131 = 2*l + 3*s, -5*s - 5 = 0. Let r = -53 + l. Calculate the remainder when 81 is divided by r.
9
Suppose 88 = 16*l - 12*
|
{
"pile_set_name": "DM Mathematics"
}
|
(389/30)
Simplify (w**(-11)/(((w/w**(-18))/w)/w))/(w/(w/(w/(w*w*w**5))))**(5/7) assuming w is positive.
w**(-166/7)
Simplify (h**(-14))**(-11)*(h*h**(-4/11)/h)**(-6) assuming h is positive.
h**(1718/11)
Simplify ((z**(-2/5)/z)**(-3/4)/(((z*z*z*z*z**0*z)/z)/z)**(-46))**4 assuming z is positive.
z**(2781/5)
Simplify ((a*a*a*a*a**2)**(2/55)/(a**(2/3)/(a**(-4/9)*a)))**(-1/59) assuming a is positive.
a**(-53/29205)
Simplify (((r/r**(10/3))/r)/(r*r/(((r/r**(-33))/r)/r)))/((r*r/r**(2/7)*r)/(r*r**(4/13)/r)) assuming r is positive.
r**(6623/273)
Simplify (n*n**1)**(7/11)*n**10*(((n/(n/(n**(-8)/n)))/n)/n)/n*n assuming n is positive.
n**(3/11)
Simplify (s**(1/9)/(s**6*s*s))/(s**3/(((s/s**(-2/21))/s)/s)) assuming s is positive.
s**(-743/63)
Simplify (r/(r*r**(-3/4))*r)/(r**(4/3)*r)*((r/r**(-2/3))/r)**(-28) assuming r is positive.
r**(-77/4)
Simplify ((h**(-4))**(-3/35))**(-2/91) assuming h is positive.
h**(-24/3185)
Simplify q*q**(-10)*q*q*q**(-1)*(q*q**9)**(-10/13) assuming q is positive.
q**(-204/13)
Simplify (w**(1/2)*w**(-8))/(((((w*(w*w/(w*w/((w/w**(-5))/w)))/w)/w*w)/w*w)/w)/w**(-1/8)) assuming w is positive.
w**(-93/8)
Simplify (m*m**(-3/11))/m**(-1/2)*(m**1*m)/(m*m*m/m**(-10)) assuming m is positive.
m**(-215/22)
Simplify (x**(-4/7)/x)**(-24/7)*(x**(-7))**13 assuming x is positive.
x**(-4195/49)
Simplify (s/((s*s**(-9)/s)/s*s*s)*s**(-2/11)*s)/((s**8*s)/((s/(s**(-4/5)*s))/s)) assuming s is positive.
s**(34/55)
Simplify (y*(y*y*y**(-7)/y)/y)/y**(-3)*(y/y**(-9)*y)**(-2/65) assuming y is positive.
y**(-217/65)
Simplify ((f**(2/9)*f*f)/(f/f**(-10/9)))/(f*f**(2/49)*f*(f**9/f)/f) assuming f is positive.
f**(-3938/441)
Simplify ((f/f**(3/5))/(f/(f*f/((f*f*(f/(f**(-3/8)*f*f))/f)/f))))/(f**(2/27)/f)**(-3/10) assuming f is positive.
f**(629/360)
Simplify (s**(6/13)*s/((s/(s/(s/s**11)))/s))/(s**(-2/11)*s**(1/6)) assuming s is positive.
s**(10705/858)
Simplify ((v**0)**(-32)*v**(-2/9)*(v*v*v**(-2/25))/v)**(-8/11) assuming v is positive.
v**(-1256/2475)
Simplify ((a**(-1/4)*a)/a**4)/((a/(a/a**(-8)))/(a/(a/((a/(a*a/a**(1/8)))/a)*a)*a)) assuming a is positive.
a**(23/8)
Simplify (k*(k/(k*k*k**38*k))/k*k**16)**5 assuming k is positive.
k**(-120)
Simplify (p/(p/p**(2/7))*p/(p*p**(-14)/p))/((p*p**(-8)/p*p)/p)**(-7/11) assuming p is positive.
p**(785/77)
Simplify (r**(1/19))**(-3/4)/(r*r*r**10)**48 assuming r is positive.
r**(-43779/76)
Simplify (((d*(d/d**(2/9))/d)/d)/(d/(d**(6/11)*d))*(d/(d**(-3)/d)*d)**(-3/5))**(-2/33) assuming d is positive.
d**(3244/16335)
Simplify ((d**(5/2)/d)/(d/(d*(d*d/d**(-10)*d)/d*d)))/((d*d**(3/2))/d)**(-1/71) assuming d is positive.
d**(1031/71)
Simplify ((b*b/b**(-4))/b**4)**(16/7) assuming b is positive.
b**(32/7)
Simplify ((((j**(-6)*j)/j)/(j*(j**1*j)/j*j*j))/((j/(j*j/j**2*j)*j)/j)**(5/11))**(-45) assuming j is positive.
j**450
Simplify (c/(c/(c/(c**15/c)))*c**1)/(((c**(-3/4)/c)/c)/(c/(c*c/((c/c**(-10/7)*c)/c)))) assuming c is positive.
c**(-219/28)
Simplify (k**16*k)/k**(1/9)*k**7*k*k**(-15) assuming k is positive.
k**(89/9)
Simplify s**(2/31)/s**(-1/8)*(s**(-2/39)/s)/(s*s/s**(-11/4)) assuming s is positive.
s**(-54277/9672)
Simplify (x**(2/47)/x)**(10/9)*(x**(-6/11)/x)/(x**(-11/4)/x) assuming x is positive.
x**(2359/2068)
Simplify o*o**(-1/23)*o**3*o*o**(2/41)*o*o/(o/(o/o**(-1))) assuming o is positive.
o**(7549/943)
Simplify ((c/((c/((c/c**(-2))/c))/c*c))/c**(-1/2)*(c/(c**(-1/3)*c))**(-2/19))**(14/13) assuming c is positive.
c**(1967/741)
Simplify ((q**(-13)/(q**(-5)/q))**28)**(2/5) assuming q is positive.
q**(-392/5)
Simplify (f**(-16))**5*((f/(f*(f*f**19)/f))/f)**(-28) assuming f is positive.
f**480
Simplify (((i/i**(-1/23))/i)**33)**0 assuming i is positive.
1
Simplify (((r*r**(2/7)*r)/r)**(-2/33)*r/(r**(3/4)/r)*r/(r*r/(r**8*r)*r))**(-34/3) assuming r is positive.
r**(-14263/154)
Simplify (b**5)**(-27)*(b**(-2/13))**8 assuming b is positive.
b**(-1771/13)
Simplify (((a/(a/((a*a*a**(-12))/a*a))*a)/a*a)/a)**(-21)/(a/a**(2/69)*a*a**(2/5)*a) assuming a is positive.
a**(71287/345)
Simplify ((m/(m**(-9)/m))/((m*(m/m**(7/4))/m)/m))/(m**(-3))**15 assuming m is positive.
m**(231/4)
Simplify (l/l**(-8/11))/l**(26/7)*l**(2/9)/l**(2/39) assuming l is positive.
l**(-16361/9009)
Simplify (g/(g**(-2/17)/g)*(g*g**4*g)/g)/((g*g*g**(-11))/(g*g*g**17*g)) assuming g is positive.
g**(614/17)
Simplify ((((j*j*j**(1/3))/j)/j)/j*j/j**6*j**(-3)/(j/(j**0/j)))**(-2/11) assuming j is positive.
j**(64/33)
Simplify l**(-15)/l**(-11)*l/l**(2/9)*l*l/(l*l**(-
|
{
"pile_set_name": "DM Mathematics"
}
|
l, -1, n in decreasing order.
n, l, -1, -4
Let x(i) = i**3 + i - 1. Suppose 9*p = 11*p - 3*p. Let v be x(p). Sort 5, -5, v, 1 in decreasing order.
5, 1, v, -5
Let u = -4.6 - -38.6. Let w = u + -39.8. Let k = -12.2 + w. Put 3, k, 0 in increasing order.
k, 0, 3
Let g(z) = -z**2 + 3*z - 3. Let x be g(2). Let c(o) = 15*o + 136. Suppose -4*w = 5*s + 33, s + 6*w + 21 = 10*w. Let j be c(s). Sort j, -5, x.
-5, x, j
Suppose 3*n = 3*u - 3, -29 = 5*n - 93*u + 96*u. Sort 0, -3, -35, n.
-35, n, -3, 0
Suppose 14785 = 26*x - 23357. Let z = -1473 + x. Let g be (-1)/(-3)*(-1 + 0). Sort z, -3, g in decreasing order.
g, -3, z
Let m = -17225/8 + 2153. Suppose -2*s - a - 7 - 2 = 0, 3*s + 1 = a. Put -1/2, s, m, 10 in decreasing order.
10, m, -1/2, s
Let p(v) = v**3 - v**2 - 4*v. Let m be p(-2). Let l be m*(4 - 57/12). Suppose -4*z + 3*q = 7, 0 = 4*z - 203*q + 201*q + 2. Sort -1, 0, z, l in descending order.
l, z, 0, -1
Suppose -6*p = 73 - 97. Let n = -12 - -12. Suppose n = 10*i - 7*i. Put i, 32, p in ascending order.
i, p, 32
Let n = -3651 - -3650. Sort -4, 3, 75, n in ascending order.
-4, n, 3, 75
Suppose 11*r = 7*r + 32. Let v = -8 + r. Suppose l - 3 = v, y + 3*l = l + 9. Sort y, -9, -5.
-9, -5, y
Let j(w) = w**3 - 12*w**2 + 10*w + 11. Let q be j(11). Let h be (-1 - 0)/(-1 + q). Suppose 22 - 4 = -18*r. Put -5, h, r in ascending order.
-5, r, h
Suppose -6*y - 4*y = -40. Let l(o) = o - 1. Let q be l(1). Suppose -2*b = q, -3*b - 3 - 1 = v. Sort v, y, -12 in descending order.
y, v, -12
Let y = -42561/112 - -10551/16. Let i = y + -279. Let p = 0.6 - 0.3. Sort i, -2, -0.4, p.
-2, -0.4, p, i
Suppose -14*h + 60 = h. Let m(c) = 3*c**2 - 6*c. Let p(q) = q**2. Let n(i) = -m(i) + 2*p(i). Let k be n(6). Sort -3, h, 3, k in ascending order.
-3, k, 3, h
Let v = -0.5 + 1. Let r = 0.328 + -20.028. Let y = r + 19.4. Sort v, -0.1, y in decreasing order.
v, -0.1, y
Let m = 224720/21 - 10701. Sort m, 1/167, -2/7.
-2/7, m, 1/167
Suppose 6*p - 4*p = -2*n, -2*p = n. Suppose -4*k = 4*c - n*k, -k = 4. Suppose 5 = s + f - c*f, -s = -4*f - 8. Put 2, 1, s in descending order.
2, 1, s
Let z = 3015 + -3017. Put z, 23, -6 in decreasing order.
23, z, -6
Let g = -482/7 + 69. Let z be (6/(-4))/((-12)/24). Let n be (-12)/63*z*7. Sort n, -0.3, g, 0.03 in decreasing order.
g, 0.03, -0.3, n
Let t(o) = -o**2 + 3*o + 4. Let s be t(3). Let d(r) = -r**3 - r**2 - r + 143. Let z be d(0). Let a be z/(-52) - (-6)/8. Sort s, -3, a in increasing order.
-3, a, s
Let l be -12*(-8 + 8 - 2/6). Suppose 0 = 2*u - 0*u - 42. Let v be (-133)/u - (-1)/3. Put v, 5, l in decreasing order.
5, l, v
Let o = -72/49 - 243/49. Put o, -1/2, -1/3 in ascending order.
o, -1/2, -1/3
Let c(r) = -6*r - 37. Let z be c(-6). Let d be ((-798)/(-190))/(z/5). Sort 4, d, -3 in descending order.
4, -3, d
Suppose 99*t = 59 - 257. Let c = 1 + -0.6. Let u = 0.1 + c. Sort u, t, 1/6 in descending order.
u, 1/6, t
Let a be 62/(-403) + (-441)/(-585). Put -11, 0.1, 3, a in ascending order.
-11, 0.1, a, 3
Let b be 35/5 + 2/(-1). Let q(y) = y. Let x be q(3). Put -7, x, -1, b in ascending order.
-7, -1, x, b
Let u(l) = 9*l**2 - 9*l + 24. Let t be u(4). Let b be (-3)/(-2) + (t/(-11) - -11). Sort 4, b, -4/3.
-4/3, b, 4
Let c = -0.1 + 6.1. Let p = 7.76 + -13.56. Let l = c + p. Sort -0.5, l, 1.
-0.5, l, 1
Let z = -10.15 - -10.16. Put 0.3, z, -126, 0.2 in ascending order.
-126, z, 0.2, 0.3
Let h be ((-10)/2 - -2)*-1. Let x be ((-6)/(-21))/(378/(-1323)). Sort x, h, -5, -19 in descending order.
h, x, -5, -19
Suppose -1535 = 19*q - 14*q. Let k = 302 + q. Sort k, -2, 2, -4.
k, -4, -2, 2
Let b = -25641 + 25666. Put 0.12, b, -4, -1/2, -2 in descending order.
b, 0.12, -1/2, -2, -4
Let i(w) be the third derivative of 7*w**5/60 + 14*w**3/3 + w**2 + 41*w. Let f be i(0). Put -4, f, 2 in decreasing order.
f, 2, -4
Suppose 0 = -87*a + 785 + 259. Sort a, -3, 5, 0 in ascending order.
-3, 0, 5, a
Let w(k) = -3*k**3 + k**2 + 18*k + 18. Let b be w(-1). Let p = 0.1 - 0.2. Let f = p + 0.5. Sort -4, b, 3, f in decreasing order.
b, 3, f, -4
Suppose 90*m - 86*m = -o - 20, -2*o + 2 = m. Sort -22, 55, o, -3 in increasing order.
-22, -3, o, 55
Let w = -1899 + 5692/3. Sort w, -4, -2, 4,
|
{
"pile_set_name": "DM Mathematics"
}
|
) = -1105*u. Determine -6*b(g) + 289*c(g).
-17*g
Let k(d) be the second derivative of -d**4/12 - d**3/6 - 2*d. Let v(u) = 0*u**3 - u**2 + 3*u - 4*u + u**3. Calculate 2*k(x) - v(x).
-x**3 - x**2 - x
Let c(h) = 3*h - 5. Let q(p) = -3*p + 6. What is 6*c(b) + 5*q(b)?
3*b
Let b = 68 + -61. Let i(g) = -10*g + 6. Let t(p) = -3*p + 8. Let y(a) = -a - 1. Let z(d) = t(d) + 4*y(d). Determine b*z(k) - 5*i(k).
k - 2
Let i(o) = 11*o**2 - 3*o + 4. Let v be (-4)/10 + (-24)/(-10). Let c be v*(-2)/2 + -2. Let q(w) = -1 + 0*w**2 - 6*w**2 + 3*w - w - 1. What is c*i(z) - 7*q(z)?
-2*z**2 - 2*z - 2
Let y(t) = 12*t**3 - 6*t**2 + 3*t + 3. Let p(f) = -f**2 + f + 1. Determine -3*p(z) + y(z).
12*z**3 - 3*z**2
Let v(s) = s**2 + 1. Let o(l) be the third derivative of -1/24*l**4 - 5*l**2 - 7/60*l**5 + 0 + 0*l - 2/3*l**3. Give o(t) + 6*v(t).
-t**2 - t + 2
Let p(k) = -k**2 + 2*k - 5. Let o(q) = -3*q**2 + 6*q - 14. What is 6*o(t) - 17*p(t)?
-t**2 + 2*t + 1
Let i(f) = f - 1. Suppose 11*o + 9*o - 120 = 0. Let t(j) be the first derivative of -7/2*j**2 + 1 + 6*j. Determine o*i(b) + t(b).
-b
Let a = -3 + -2. Let s(j) = -8*j**2. Let r(h) = -7*h**2. Give a*r(o) + 4*s(o).
3*o**2
Let m(a) be the first derivative of a**2 + 2*a - 6. Let s(t) = 1. What is m(p) - s(p)?
2*p + 1
Let m(u) be the second derivative of 5/2*u**2 + 0 + 4*u + 2/3*u**3. Let k(n) = n + 1. Determine 5*k(q) - m(q).
q
Let n(d) = 1. Let b(t) = -13*t - 1. Calculate -b(x) - 2*n(x).
13*x - 1
Let h(y) = 2*y**2. Let k(t) be the first derivative of -t**5/20 - 2*t**2 + 5. Let v(b) be the second derivative of k(b). Give -6*h(d) - 5*v(d).
3*d**2
Let a(s) = -s + 1. Let j(g) be the first derivative of g**5/60 - g**4/8 - g**3/3 - 2. Let v(l) be the third derivative of j(l). Calculate a(h) + v(h).
h - 2
Let z(x) be the first derivative of -7*x**4/4 + 7*x**3/3 - 3*x**2 + 6*x - 5. Let m(u) = -15*u**3 + 15*u**2 - 13*u + 13. What is 6*m(h) - 13*z(h)?
h**3 - h**2
Let r(j) = 2175*j**3 - 203. Let w(y) = -32*y**3 + 3. Give 3*r(x) + 203*w(x).
29*x**3
Suppose 5*c = 4 + 6. Let b(p) = 3*p**3 - p**2 - 2*p. Let q(h) be the first derivative of -7*h**4/4 + 2*h**3/3 + 5*h**2/2 - 5. What is c*q(o) + 5*b(o)?
o**3 - o**2
Let v(l) = 5*l**3 + 8*l**2 - 8*l - 12. Let f(r) = -2*r**3 - 3*r**2 + 3*r + 4. Calculate 8*f(c) + 3*v(c).
-c**3 - 4
Let g(h) = 9*h**2 - 6*h - 6. Let s(d) = -2*d**2 - 25*d + 12. Let f be s(-13). Let b(r) = -r**2 + r + 1. Determine f*g(l) - 6*b(l).
-3*l**2
Let i = 58 - 60. Let o(h) = h**2 - 9*h. Let v(x) = -6*x + 4. Let k(m) = -m + 1. Let p(l) = 4*k(l) - v(l). Determine i*o(u) - 9*p(u).
-2*u**2
Let b(v) = -v**3 + v**2 + v + 1. Let h(c) = c**2 - 2*c + 7. Let x(z) = -2*z**2 + 3*z - 12. Let f(o) = -5*h(o) - 3*x(o). Determine -b(g) + f(g).
g**3
Let h(t) = t - 9. Let g be h(6). Let x(n) = -6*n - 3. Let d(c) = 2*c + 2. Let s(b) = 3*b + 2. Let f(w) = -2*d(w) + 3*s(w). What is g*x(q) - 4*f(q)?
-2*q + 1
Let g(z) = 10*z**2 + z + 3. Let x(l) = -l**2 - 1. What is -2*g(b) - 6*x(b)?
-14*b**2 - 2*b
Let m(w) = 3*w + 6. Let u be m(0). Let a(n) = -5*n + 2. Let z(y) = -4*y + 2. Give u*z(f) - 5*a(f).
f + 2
Let g be -2 + 2 - (-1 - 1). Let h(y) = y + 1. Let x = -5 + 5. Let i(l) = 6*l + x*l - 2*l + 2. Determine g*h(j) - i(j).
-2*j
Let c(j) = -4*j**3 - 4*j**2 + 4*j - 1. Let w(i) = 5*i**3 + 3*i**2 - 3*i + 1. Determine 3*c(g) + 4*w(g).
8*g**3 + 1
Let x(j) = 13*j**2 + 9*j. Let m(b) = 6*b**2 + 4*b. Let k = -3 + 7. Suppose 42 = k*s - 3*a, -2*a = s - a - 7. Give s*m(f) - 4*x(f).
2*f**2
Let v(j) = -j**3 - j. Let c(s) = 6*s**3 + 5*s. Determine c(b) + 5*v(b).
b**3
Let u(m) = m**3 - m**2 + 7*m + 6. Suppose 0 = -2*n - n + 33. Let a(t) = 2*t**3 - 2*t**2 + 13*t +
|
{
"pile_set_name": "DM Mathematics"
}
|
e of v(p). What is the third derivative of n(b) wrt b?
96*b
Let s(a) = 12*a**2 - 2*a + 1. Let j be s(1). What is the second derivative of b - j - 10*b**2 + 11 wrt b?
-20
Let r be 436/(-6)*(-15)/10. What is the third derivative of -r*i**2 + 5*i**5 + i**5 + 114*i**2 wrt i?
360*i**2
Let f(q) = q**3 - 4*q**2 + q + 3. Let g be f(3). Let h = 14 - g. What is the third derivative of 7*m**3 - h*m**3 + 8*m**3 + 5*m**2 wrt m?
-12
What is the derivative of 2 - 125*c - 104 + 103*c - 67 + 176*c wrt c?
154
Let h = 42 - 38. Find the second derivative of 0*z**2 - 186*z + 174*z - z**2 + 8*z**h - z**2 wrt z.
96*z**2 - 4
What is the second derivative of 154*a**3 - 97*a + 49*a + 45*a wrt a?
924*a
Find the first derivative of 188*z + 73 + 33 + 135 wrt z.
188
Suppose 3*c + 555 = 564. Let o(u) be the second derivative of -1/3*u**4 + 0*u**2 + 0 - 1/2*u**c + 4*u. What is the second derivative of o(l) wrt l?
-8
Let u(c) = 143*c**2 + 138. Let l(d) = d**2 + 1. Let b(r) = l(r) - u(r). What is the first derivative of b(g) wrt g?
-284*g
Let u(r) = 1. Let z(f) = 215*f**4 + 2*f**2 - 11*f - 29. Let b(k) = -2*u(k) + z(k). What is the second derivative of b(w) wrt w?
2580*w**2 + 4
Let s(a) be the second derivative of -a**9/168 + 7*a**5/30 + a**2 - 3*a. Let l(j) be the first derivative of s(j). Find the third derivative of l(p) wrt p.
-360*p**3
Let x be (-4)/((117/6)/(-13)). Let p(n) be the first derivative of -9 + x*n**3 + 0*n + 0*n**2 + 5/4*n**4. Find the third derivative of p(q) wrt q.
30
Let r be (-21)/14*(106/(-6) + 1). What is the third derivative of -r*b**5 - 4*b**2 + 42*b**5 - 19*b**2 wrt b?
1020*b**2
Let i(n) = 419*n**3 + 363*n**2 + 2. Let h(v) = 1676*v**3 + 1451*v**2 + 9. Let l(g) = 2*h(g) - 9*i(g). Find the third derivative of l(j) wrt j.
-2514
Find the third derivative of -2*s**3 - 126*s**3 - 11*s - 24*s**3 - 8*s**2 wrt s.
-912
What is the second derivative of -36*k - 263*k**4 + 307*k**4 - 178*k**4 wrt k?
-1608*k**2
Let r(a) = -4*a**2 - 1. Let j(i) = -3*i**2. Let x(s) = -7*j(s) + 3*r(s). What is the first derivative of x(b) wrt b?
18*b
What is the third derivative of 2 - 2*o**5 + 13*o**2 - 1134*o**3 - 2*o**4 + 1134*o**3 + 9*o**5 wrt o?
420*o**2 - 48*o
Let q(m) = -3*m - 8. Let a(x) = x. Let k(n) = 4*a(n) + q(n). Let z be k(11). Differentiate -o - z + 4 + 7*o wrt o.
6
Let n(t) = 2*t**2 - 56*t - 249. Let u(p) = -6*p**2 + 111*p + 499. Let k(j) = 5*n(j) + 2*u(j). What is the derivative of k(l) wrt l?
-4*l - 58
Let d = 25 + -13. Let l be 4/d*15 + -3. Find the first derivative of -106*c**l + 2 + 117*c**2 - 1 wrt c.
22*c
Let j(t) = t**2 + t. Suppose 6*y - 13*y - 21 = 0. Let q(u) = 5*u**2 - 7*u. Let n(g) = y*j(g) + q(g). Find the second derivative of n(d) wrt d.
4
Suppose -27*p + 23*p = 0. Let n(j) be the first derivative of 0*j**4 + j**2 + 0*j - 5 + 6/5*j**5 + p*j**3. Find the second derivative of n(b) wrt b.
72*b**2
Let v = 16 + -14. Suppose -3*z = 3*c - 6, -z + v = 3*c - 7*c. Find the third derivative of 15*h**6 + 18*h**6 - 41*h**6 - 3*h**z wrt h.
-960*h**3
Let a(c) be the second derivative of -17*c + 5*c**2 + c**3 - 12*c + 6*c**2 + 3*c**2. What is the first derivative of a(h) wrt h?
6
Let x = -28 + 32. Find the second derivative of x*h**4 - 7*h + 15*h + 6*h**4 wrt h.
120*h**2
Let a(n) = -n**2 + 4*n + 1. Let q be a(3). Suppose 14 = v + q*j, 2 = -j + 2*j. What is the third derivative of -9*b**v - 2*b**2 - 3*b**2 - 2*b**6 wrt b?
-1320*b**3
Let f(r) = -3*r**2 + 9*r + 2. Let q be f(10). Let g be (-37)/(-13) - 32/q. Find the first derivative of 6 - 116*t + 116*t - 4*t**g wrt t.
-12*t**2
Let p(o) = -19*o**3 - 22*o**2 - 2*o - 141. Let j(h) = -20*h**3 - 19*h**2 - 2*h - 143. Let f(x) = 7*j(x) - 6*p(x). What is the second derivative of f(z) wrt z?
-156*z - 2
Suppose -4*q = -16, -5*l + 4 = -2*q + 2. Find the third derivative of -6*x**2 - x**4 - 9*x**4 + 0*x**l wrt x.
-240*x
Let l(c) = -577*c**4 - 2*c**3 + 5*c - 14. Let g(u) = 5*u**4 - u**3 + u - 2. Let d(f) = -2*g(f) + l(f). What is the second derivative of d(b) wrt b?
-7044*b**2
Let v(i) = 14*i**4 + 6*i**3 - 8*i**2 + 17*i + 18. Let l(t) = t**4 + t**3 - t**2 + t + 3. Let j(u) = -6*l(u) + v(u). Find the second derivative of j(y) wrt y.
96*y**2 - 4
Let p = -4 + 6. Let n(q) be the first derivative of -5/4*q**4 + 0*q**p - 4 + 0*q + 4/3*q**3. What is the third derivative of n(d) wrt d?
-30
Let m(j) = -j**3 + j**
|
{
"pile_set_name": "DM Mathematics"
}
|
s and give g.
-32
Express 365*u - 364*u + 0 + 6 + 4801*u**2 - 4 + 849*u**2 in the form f*u + q + j*u**2 and give q.
2
Rearrange -8 - 98 + 65*p + 16 - 2 - 15*p to w*p + k and give k.
-92
Express 573*z**3 + 2*z**2 + 7 - 509*z**3 + z - 2*z**2 in the form c*z**3 + g*z + u + b*z**2 and give g.
1
Rearrange (3 + 2 - 6 + (-1 + 1 - 2)*(105 + 86 - 62))*(0*o + 0*o + 2*o**2) to the form t*o**2 + w + p*o and give t.
-518
Rearrange -89*p**2 - 1 - 2*p - 34*p**2 + 3*p**3 - 11*p**4 + 124*p**2 to the form j*p**4 + f + v*p + d*p**3 + o*p**2 and give o.
1
Rearrange -77343 - 11*p + 77331 + p**4 - 7*p**2 + 13*p - p**3 to z*p + c + g*p**2 + t*p**4 + l*p**3 and give z.
2
Express 192*w + 17*w**3 - 48*w**2 + 21*w**2 + 25*w**2 - 193*w in the form n*w**2 + o*w + y*w**3 + p and give y.
17
Rearrange (-3*r**4 + 0*r**4 + r**4)*(-609108 + 1213720 - 609666) to h*r**2 + s*r**4 + g*r + b + k*r**3 and give g.
0
Express -6 + 0 + 4*j - 6*j**2 + 0 - 32*j**2 - 2*j**2 in the form u*j + y*j**2 + z and give z.
-6
Express (-3416 + 9691 - 12434 - 20825 + 6300 - 24940)*(-2 + 2 - 7*t) as w*t + m and give m.
0
Express (4 + 3 - 1)*(6*f - 5*f + 5*f) + 4 - 4 - 5*f - 3 - 4*f + 3 as p*f + h and give p.
27
Rearrange 5853*s + 6891*s - 4342*s to i + b*s and give b.
8402
Rearrange (-1 + 191*l - 187*l + 2)*(-28 - 239 - 7) to s*l + z and give s.
-1096
Express (-12923*u**2 + 25398*u**2 - 14276*u**2)*(11*u + 3*u - 6*u)*(3*u + 2*u - 2*u) in the form y*u**4 + k + o*u**2 + b*u + m*u**3 and give k.
0
Rearrange -849*r**4 - 29*r - 1 - 2*r**2 - 1 - 2*r - r + 30*r to the form l*r**3 + k*r**4 + h + a*r**2 + j*r and give h.
-2
Rearrange -46 - 4*r**2 + 2678 + r**2 - 2*r**2 + 3*r**2 to the form z*r + s + i*r**2 and give s.
2632
Rearrange 2 + 395*s**2 - s - 449*s**2 + 299*s**2 to w*s + d + p*s**2 and give w.
-1
Express -u**3 - 3*u**3 + 1 + 1 - 6*u - 752*u**2 + 748*u**2 in the form p*u**2 + q*u**3 + v*u + h and give p.
-4
Rearrange -498*s**3 + 219*s**3 + 2 - 332*s**3 + 10*s**2 to t*s + v*s**2 + u + r*s**3 and give v.
10
Express 0*s**3 + 4*s**3 + 17 + 9*s - 12*s + 8*s**3 + 13*s**2 - 13*s**3 as u + q*s**2 + r*s + c*s**3 and give u.
17
Express (97*z - 301*z - 605*z)*(z - z - 3*z)*(-2*z - z + 4*z) in the form l*z**2 + i*z + t + g*z**3 and give g.
2427
Rearrange -82*f**2 - 10*f + 2*f**4 + 119*f**3 - 121*f**3 + 44*f**2 + 41*f**2 to the form j*f**3 + v + z*f**2 + n*f**4 + m*f and give z.
3
Rearrange ((-4 + 4 - 1)*(1 - 2*z - 1) + 2*z - 5*z + 4*z)*(5 - 5 + 2)*(17843 - 18731 - 35347) to the form y + t*z and give t.
-217410
Express -107419*z**3 + 4*z**2 - z**4 + 107367*z**3 + 8*z**2 - 3 as g + l*z**3 + u*z**4 + r*z**2 + q*z and give l.
-52
Rearrange -2896*x - 45281 + 45281 - 2294*x to the form w + j*x and give j.
-5190
Rearrange (8*m - 7*m - 2*m)*(2*m + 0*m - 7*m)*(19 - 1 + 5) to p*m + g*m**2 + s and give g.
115
Express (2990*x + 111 + 12222*x - 1596*x + 59 - 170)*(-2*x - 2*x + 6*x) as q*x**2 + y*x + j and give q.
27232
Rearrange -97 - 4*u**2 + 10*u**2 - 45 - 7*u**2 - 2*u**3 - 124 + u to the form c*u**2 + i*u**3 + b + j*u and give c.
-1
Express -4*c - 20*c**2 + 20 + 19*c**2 - 2*c - c**3 + 12*c - c in the form r*c**3 + i*c**2 + y*c + b and give y.
5
Express (44 + 100 + 39)*(0*h**4 + 0*h**4 + h**4) - 5453*h**3 + 5453*h**3 + 72*h**4 in the form o*h**2 + n + q*h**4 + r*h + s*h**3 and give q.
255
Rearrange (-2822 + 9585 - 2798)*(-5*y**3 + 4*y**3 + 3*y**3) + 0*y - y**3 + 0*y to the form l*y + d + z*y**2 + n*y**3 and give n.
7929
Express (-6 - 9*s + 6)*(2 + 0 - 3)*(-51*s - 264*s - 67*s) in the form u + m*s**2 + j*s and give m.
-3438
Express -882 - 263*h**2 + 1758 - 877 in the form s + a*h**2 + p*h and give a.
-263
Express (-4*o - 7 + 7)*(19 - 19 + 8*o**2) + 2*o**3 + 9*o**2 - 9*o**2 + (o**3 - 3*o**3 + 0*o**3)*(1 - 1 + 1) in the form z + x*o**2 + y*o**3 + q*o and give y.
-32
Rearrange 10095*s + 2175*s + 3093*s + 297*s + 2 to the form v*s + c and give v.
15660
Rearrange (0 + 3 + 1)*(-7034 + 1968*l - 7030 - 7036 + 21100) to the form t + p*l and give p.
7872
Express -4*s**2 - 15*s - s**3 + 0*s - 13*s**2 + 19*s as k*s**3 + u*s**2 + f + c*s and give c.
4
|
{
"pile_set_name": "DM Mathematics"
}
|
*(-48)
Simplify (k**3/k*k/k**(-2/9))**30/((k*k/(k/(k**(1/7)*k)*k)*k**(1/3))/(k**(-1/4))**(-23)) assuming k is positive.
k**(8479/84)
Simplify (((c**19*c/(c**(-1/30)*c))**(-1/13))**(2/3))**(-8) assuming c is positive.
c**(4568/585)
Simplify (h**(-9/2)/(h/((h**(2/15)*h)/h*h*h))*(h/(h/(h*h**(-2/7))*h))**(-4/21))**26 assuming h is positive.
h**(-21099/245)
Simplify ((m**(-38)*m*m*m**(-2/21)/m*m)/((m*m**(2/21))/m*m)**(2/39))**(-20) assuming m is positive.
m**(592160/819)
Simplify (((o**(-9)*o/(o/(o*(o**(-5/4)/o)/o)*o))**12)**(-15))**(-3/25) assuming o is positive.
o**(-1323/5)
Simplify ((c**(8/13))**(12/13)*c/c**(-3/20)*c**(-2/103))**(17/3) assuming c is positive.
c**(10053137/1044420)
Simplify ((b**(2/7))**17/(b/(b*(b**(15/8)/b)/b*b)*b*b/(b/(b/(b/(b/b**29))))))**(-17) assuming b is positive.
b**(-31161/56)
Simplify (j**(-3/7)/(j*j**8*j*j*j*j))**(-2/33)*(j/(j/j**(-3/4)))/j**(-2/11)*j**1*j**6 assuming j is positive.
j**(6695/924)
Simplify ((t/(t/(t*(t*t*t**(5/6)*t)/t))*t*t**4/t*t)/(t/t**1)**(-1/11))/(t*t**(-2/5)*t**5*t)**(-1/34) assuming t is positive.
t**(2302/255)
Simplify (j*j**(1/3)/j*j*j**(-1/14)*j*(j**(-1))**(-13/4))/(j*j*j/j**(-1/9)*j**(-1/21))**(2/13) assuming j is positive.
j**(2359/468)
Simplify ((z**(-2/13)/z)/z**(-8))**(2/3)/((z*z**2)**(-14/3))**(-9) assuming z is positive.
z**(-4736/39)
Simplify (j**(-2)*j*((j*j*j*j**(3/5)*j)/j)/j)**(-2/57)*(j*j**(2/5)*j)**3/((j*j/((j**(-3/11)*j*j)/j*j))/(j*(j*j*j*j**(1/12))/j*j)) assuming j is positive.
j**(137369/12540)
Simplify f**(-1/4)/(((f**(2/15)/f*f)/f*f)/f)*(f/(f*((f*f**(2/17))/f)/f))/f*f*(f*f**1)/f*f*((f**(-1)*f)/f)**(4/25)*(f**(1/5))**14 assuming f is positive.
f**(31309/5100)
Simplify (((h**(-2/5))**(2/41)/((((h**(7/6)*h)/h)/h)/((h*h**(-6))/h)))**(-29))**(-15/7) assuming h is positive.
h**(-31523/82)
Simplify (h*h**(-5/4))/h*h/h**(3/7)*h*(h/(h**(-2)*h*h))**13*(h**(-3)*h**(6/11))**(-12) assuming h is positive.
h**(13175/308)
Simplify (((w**4*w**0)/(w**1)**(9/2))**(-2/33))**(-23/2) assuming w is positive.
w**(-23/66)
Simplify (f**(-5)/(f/f**2))/((f*f**2/f*f)/((f/(f*f*(f**(1/6)/f)/f*f*f*f*f))/f))*(f*f/(f**(-5)/f)*f**(2/5))**(-3/13) assuming f is positive.
f**(-5111/390)
Simplify (x**(1/2)/x)**19*(x**(-2/7)/x)/(x**(1/5)*x)*(x**(-1)/(x**(-2/11)*x))**24 assuming x is positive.
x**(-42829/770)
Simplify (k**(3/5)/k*k**5/k*k)/(((k/(k**(-2/3)/k))/k)/k**5)*(k/(k/(k*k**(-2))*k))**36*(k*k*(k*k/((k/k**(1/4)*k)/k))/k)/(k**(2/7)*k) assuming k is positive.
k**(-26503/420)
Simplify (((r*r*(r*r**(9/4)/r)/r)/r**(1/4))/(r**(3/11)/(r*r*r/r**(-10))))**(23/5) assuming r is positive.
r**(3979/55)
Simplify ((w*w**(-1/30)*w**(-24)/w)/(w**(-33))**49)**(-18) assuming w is positive.
w**(-143367/5)
Simplify (k**1)**(-11)/(k**(-7)/k*k**2)*(k**(2/7))**(-17/2)/(k**(-2)*k/k**0) assuming k is positive.
k**(-45/7)
Simplify (((((z/((z**20/z)/z))/z*z)/z**18)**47)**(2/5))**(3/20) assuming z is positive.
z**(-987/10)
Simplify (k**1/(k/k**(-2/19)*k)*(k/k**0)**(-38))/((k**(-1))**(2/51)/((k/k**(2/13))/k*k*k*k/k**(1/5))) assuming k is positive.
k**(-2293907/62985)
Simplify ((((w/w**(1/5)*w)/w*w*w/(w**(-1/7)*w))/(w*w*w*w**(-1)*w*(w/w**1)/w))**(1/29))**(-24) assuming w is positive.
w**(48/1015)
Simplify ((s*s**(-1/2)*s)/s)/(s*s*s**5)*s**1/(s**(-7/3)/s)*(s/s**(1/5)*s*s)/((s*s/s**(-1/3)*s)/s)*(s**(2/9))**(10/7) assuming s is positive.
s**(-871/630)
Simplify ((q**3*q*q*q*(q/(q/((q*q**(-3))/q)*q))/q)/(q**(-1/4)/(q**(3/7)*q)))/(q**7*q**(2/9))**31 assuming q is positive.
q**(-55745/252)
Simplify ((z/(z*z*z*(z*z/z**(3/10)*z*z)/z)*z)/z*z**(-6)*(z**0)**(-15/8))/(z**(-1)/z*z*z*z**(-6)*(z*((z**(-2/7)/z)/z)/z*z)/(z/z**(2/5))) assuming z is positive.
z**(-197/70)
Simplify ((b/(b**(-1/7)*b*b)*b**(-5))/(b**1)**(14/9))/((b*(b*((b/b**1)/b*b)/b*b)/b)/b**(-3/5)*b*b**(-1/2)*b/b**(2/7)) assuming b is positive.
b**(-6443/630)
Simplify (k**(-7))**33/((k*k**(-19/6)*k)/k**12) assuming k is positive.
k**(-1307/6)
Simplify ((s**(-4/5)*s/(s/s**(-13)*s))/(s**(1/12)*s*s*s*(s*s/s**(-5/3)*s*s)/s*s))**20 assuming s is positive.
s**(-471)
Simplify (g**(1/3)/g**(-1))**(-10/3)*(((g/g**(-3/5))/g*g)/(g*g**1*g))**(-2) assuming g is positive.
g**(-74/45)
Simplify ((b/(b/((b**2*b)/b)))**(-1/11))**(-3/7)*(b/(b/b**(-10/3))*b**(-1/2))**35 assuming b is positive.
b**(-61949/462)
Simplify (m**(2/9
|
{
"pile_set_name": "DM Mathematics"
}
|
nt from iclgcqqigccp. Give prob of picking 1 q, 1 l, and 1 p.
1/110
Calculate prob of picking 2 n and 2 j when four letters picked without replacement from {j: 11, n: 9}.
132/323
Calculate prob of picking 2 h and 2 c when four letters picked without replacement from hhhchhhhchc.
14/55
Two letters picked without replacement from dxedcdzxdcdxxe. What is prob of picking 1 e and 1 c?
4/91
Calculate prob of picking 2 x when two letters picked without replacement from xxxxdxxxxxxxx.
11/13
Three letters picked without replacement from {v: 1, h: 6, z: 2, j: 3, f: 1, o: 2}. Give prob of picking 2 j and 1 h.
18/455
What is prob of picking 2 f when two letters picked without replacement from oofffff?
10/21
Three letters picked without replacement from {g: 8, j: 5, l: 1, b: 5, d: 1}. Give prob of picking 1 d, 1 b, and 1 j.
5/228
Calculate prob of picking 2 a when two letters picked without replacement from btbaababbabaabb.
1/7
Two letters picked without replacement from ybrrrrrbbyeeeir. What is prob of picking 2 r?
1/7
Two letters picked without replacement from {i: 2, n: 1, e: 5, h: 3, r: 6, v: 3}. Give prob of picking 1 v and 1 r.
9/95
What is prob of picking 3 e and 1 u when four letters picked without replacement from neeueeeevvev?
7/99
What is prob of picking 2 w and 2 t when four letters picked without replacement from {w: 2, t: 11}?
1/13
Two letters picked without replacement from {w: 1, d: 4, j: 4, l: 1, n: 1, a: 1}. What is prob of picking 1 j and 1 n?
2/33
Three letters picked without replacement from {z: 3, a: 1, o: 3, k: 1, n: 4, e: 3}. What is prob of picking 1 n, 1 k, and 1 a?
4/455
What is prob of picking 2 t when two letters picked without replacement from {t: 3, l: 1, j: 1, m: 7}?
1/22
Two letters picked without replacement from nnjjjjjnjnjjnj. What is prob of picking 1 n and 1 j?
45/91
Two letters picked without replacement from httthttt. Give prob of picking 1 t and 1 h.
3/7
Two letters picked without replacement from {l: 1, z: 2, q: 2, h: 1, v: 2, c: 1}. Give prob of picking 2 q.
1/36
Calculate prob of picking 1 i, 1 y, and 1 z when three letters picked without replacement from {z: 2, i: 1, u: 1, y: 1}.
1/5
Two letters picked without replacement from zzzizzizzzeiziiziiz. What is prob of picking 2 z?
55/171
What is prob of picking 1 d and 2 h when three letters picked without replacement from {d: 1, o: 7, h: 9, k: 2, z: 1}?
3/95
Calculate prob of picking 1 z and 3 u when four letters picked without replacement from zuzpzuzzzzuzzzzzz.
13/2380
Three letters picked without replacement from {p: 3, o: 7}. What is prob of picking 3 o?
7/24
What is prob of picking 1 y, 2 j, and 1 m when four letters picked without replacement from {m: 3, j: 3, z: 4, y: 4}?
36/1001
What is prob of picking 1 s and 2 t when three letters picked without replacement from {j: 7, t: 2, d: 7, a: 1, s: 1}?
1/816
Calculate prob of picking 1 e, 1 s, 1 n, and 1 l when four letters picked without replacement from aesalnsasaanslseln.
1/34
What is prob of picking 1 p and 1 m when two letters picked without replacement from lmmmmplllpmlll?
10/91
Four letters picked without replacement from {a: 3, n: 4}. What is prob of picking 4 n?
1/35
Three letters picked without replacement from bonknhkh. What is prob of picking 2 n and 1 k?
1/28
Calculate prob of picking 1 b and 2 f when three letters picked without replacement from {o: 5, b: 3, d: 1, v: 1, f: 3}.
9/286
Four letters picked without replacement from {r: 1, z: 7, l: 1}. What is prob of picking 4 z?
5/18
Four letters picked without replacement from mmmoomommooom. Give prob of picking 4 m.
7/143
Calculate prob of picking 2 d when two letters picked without replacement from {r: 2, d: 5, i: 3}.
2/9
Four letters picked without replacement from {b: 2, z: 1, l: 1, r: 10}. What is prob of picking 2 r and 2 b?
45/1001
Two letters picked without replacement from wnxnwnnbwknkwnwxww. What is prob of picking 1 k and 1 x?
4/153
Two letters picked without replacement from bbtrrzzbzr. What is prob of picking 2 b?
1/15
Four letters picked without replacement from {m: 19, a: 1}. Give prob of picking 4 m.
4/5
What is prob of picking 3 b when three letters picked without replacement from {k: 10, r: 1, b: 6}?
1/34
Four letters picked without replacement from {p: 1, m: 1, a: 1, o: 1, c: 2, d: 1}. Give prob of picking 1 o, 1 c, 1 m, and 1 a.
2/35
Three letters picked without replacement from yyurryyry. What is prob of picking 1 u and 2 r?
1/28
Calculate prob of picking 3 q when three letters picked without replacement from eqqqqeq.
2/7
Calculate prob of picking 1 j and 1 k when two letters picked without replacement from kjjjjjjj.
1/4
Two letters picked without replacement from {h: 3, x: 4, u: 1, w: 2, f: 2}. What is prob of picking 1 w and 1 h?
1/11
Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {x: 5, s: 3}.
15/28
What is prob of picking 2 q and 2 a when four letters picked without replacement from aqqaaaqqqaaa?
14/33
Calculate prob of picking 1 c, 1 o, and 2 v when four letters picked without replacement from mmconnvovmnovw.
9/1001
What is prob of picking 2 r and 1 g when three letters picked without replacement from gtjtrbr?
1/35
What is prob of picking 2 c and 1 s when three letters picked without replacement from {t: 3, z: 7, l: 3, c: 2, s: 4}?
4/969
Calculate prob of picking 2 e when two letters picked without replacement from eeeeee.
1
Calculate prob of picking 1 d and 2 x when three letters picked without replacement from dtzzdtdddtrtdxxxd.
21/680
Four letters picked without replacement from {e: 6, b: 3, v: 2, p: 1, u: 2}. Give prob of picking 1 b and 3 e.
60/1001
Calculate prob of picking 3 h when three letters picked without replacement from {z: 1, j: 1, p: 4, q: 1, w: 1, h: 4}.
1/55
What is prob of picking 4 f when four letters picked without replacement from fffbbfbffbffffffffff?
364/969
What is prob of picking 2 a when two letters picked without replacement from {m: 3, x: 6, q: 1, h: 2, a: 6}?
5/51
Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {r: 3, j: 4, o: 6, u: 2, q: 2}.
9/68
Calculate prob of picking 1 y and 2 g when three letters picked without replacement from hgyggzr.
3/35
Calculate prob of picking 1 h, 1 a, 1 f, and 1 o when four letters picked without replacement from {a: 1, f: 1, h: 3, m: 1, o: 1}.
3/35
Three letters picked without replacement from ppuuuppuuupuupppuppu. What is prob of picking 3 u?
2/19
What is prob of picking 3 v and 1 y when four letters picked without replacement from {n: 5, y: 2, q: 3, v: 3}?
2
|
{
"pile_set_name": "DM Mathematics"
}
|
7/4, 5
Put -3, -8, -9, 4 in decreasing order.
4, -3, -8, -9
Sort -1, -5, 0.4, 7 in decreasing order.
7, 0.4, -1, -5
Sort 4.2, -2/9, 4/5, -2.
-2, -2/9, 4/5, 4.2
Sort 0.054, 2, 2/101.
2/101, 0.054, 2
Put 3, 9, 157 in descending order.
157, 9, 3
Sort 4, 6, -13 in increasing order.
-13, 4, 6
Sort -0.06, -0.3, -3, -1 in decreasing order.
-0.06, -0.3, -1, -3
Put -1, -8, 110 in descending order.
110, -1, -8
Sort 9, -442, -3, 4 in descending order.
9, 4, -3, -442
Sort -5, 4, -4, 1/5.
-5, -4, 1/5, 4
Sort -2, -63, 4 in ascending order.
-63, -2, 4
Sort -2, -3, -4, 1, -1.2 in descending order.
1, -1.2, -2, -3, -4
Sort -3, -4/5, 123, 0.5.
-3, -4/5, 0.5, 123
Sort 1, -3, -1, 5, -13 in decreasing order.
5, 1, -1, -3, -13
Put -3, 2, -5, 9 in increasing order.
-5, -3, 2, 9
Sort 29, 3, 2, 1 in descending order.
29, 3, 2, 1
Sort 0.0566, 2/13, -3, -5.
-5, -3, 0.0566, 2/13
Put 1, 4, -2, 9 in increasing order.
-2, 1, 4, 9
Sort 5, -2, -34, 0, 1.
-34, -2, 0, 1, 5
Put 11, 0.3, 4 in increasing order.
0.3, 4, 11
Sort 0.29, -5/2, -1/2, 0.3.
-5/2, -1/2, 0.29, 0.3
Sort -58, 0.4, 0.056 in decreasing order.
0.4, 0.056, -58
Put 1, 2.2, 0.4 in descending order.
2.2, 1, 0.4
Sort -0.4, -4, -8.
-8, -4, -0.4
Sort -0.2, 2/5, -0.816, -4 in ascending order.
-4, -0.816, -0.2, 2/5
Sort 3651, 3, -2 in descending order.
3651, 3, -2
Sort -5/3, 0.14, 0.5, -156, 0 in descending order.
0.5, 0.14, 0, -5/3, -156
Put 2/11, 5, 3, -148 in ascending order.
-148, 2/11, 3, 5
Put 0.4, 1, -1, 4, -1/2 in decreasing order.
4, 1, 0.4, -1/2, -1
Sort -11, 0, 4, -4 in decreasing order.
4, 0, -4, -11
Put -3/5, -4, -5, 26, -2/3 in ascending order.
-5, -4, -2/3, -3/5, 26
Sort -1, -5/4, 3, 7 in decreasing order.
7, 3, -1, -5/4
Put 0, 2, 2.7 in decreasing order.
2.7, 2, 0
Put 12, 3, -0.4 in descending order.
12, 3, -0.4
Put -5, 0, -3/11, -1, -11 in decreasing order.
0, -3/11, -1, -5, -11
Sort -45, -1, 4.
-45, -1, 4
Sort -5, 0, 4, 80 in increasing order.
-5, 0, 4, 80
Sort -2, 1, -1, 0 in decreasing order.
1, 0, -1, -2
Sort 0.5, 53, 2 in decreasing order.
53, 2, 0.5
Sort 5, -0.4, 3/5.
-0.4, 3/5, 5
Sort 3/7, 2/5, 9, -5, 4 in increasing order.
-5, 2/5, 3/7, 4, 9
Put 3/11, -0.1, -1/2 in decreasing order.
3/11, -0.1, -1/2
Put 1, 2, -9, 64, -5 in descending order.
64, 2, 1, -5, -9
Sort 0.6, -38, 2/3, -2.
-38, -2, 0.6, 2/3
Put -4/15, 0.3, 0.1, 31 in ascending order.
-4/15, 0.1, 0.3, 31
Put 21, 0.4, -2/5 in descending order.
21, 0.4, -2/5
Sort -3, -2, 0.026 in increasing order.
-3, -2, 0.026
Put 0.16, 3/5, 4, 0.2 in descending order.
4, 3/5, 0.2, 0.16
Sort -3, -5, -3/2, 18 in ascending order.
-5, -3, -3/2, 18
Sort -0.8, -1, 0.3, -0.4, 0.6 in decreasing order.
0.6, 0.3, -0.4, -0.8, -1
Sort -1273, -1, 1/3 in increasing order.
-1273, -1, 1/3
Sort -5, -63, -18.
-63, -18, -5
Sort -9, 2, -4, 1.
-9, -4, 1, 2
Sort 6, 1, -97, -2, -5 in decreasing order.
6, 1, -2, -5, -97
Put -6/17, -9, -1, 1/3, 1 in ascending order.
-9, -1, -6/17, 1/3, 1
Sort -3, -0.73, -2/11 in ascending order.
-3, -0.73, -2/11
Put 5, -58, 0.1, -2/15 in decreasing order.
5, 0.1, -2/15, -58
Put -1/7, -393, 0.3, 0.1, 4 in descending order.
4, 0.3, 0.1, -1/7, -393
Put -51, -3, -1 in ascending order.
-51, -3, -1
Sort -0.1, -278/9, -0.5 in descending order.
-0.1, -0.5, -278/9
Put -4, 4, -5, -8 in decreasing order.
4, -4, -5, -8
Sort 0.1, -2/9, -156 in descending order.
0.1, -2/9, -156
Put 1/2, -0.3, -54 in decreasing order.
1/2, -0.3, -54
Sort 328, -4, -0.23 in decreasing order.
328, -0.23, -4
Put -0.71, 1/6, 50 in decreasing order.
50, 1/6, -0.71
Sort 22, -3/4, 1/5.
-3/4, 1/5, 22
Sort 2, 0.4, 18, -5/27 in increasing order.
-5/27, 0.4, 2, 18
Put -0.4, 7/4, 6/7, 0.5 in ascending order.
-0.4, 0.5, 6/7, 7/4
Sort -0.2, 3, -29.
-29, -0.2, 3
Sort -641, -4, 0.9 in decreasing order.
0.9, -4, -641
Sort -4, -3, 52 in descending order.
52, -3, -4
Put 0, -2, 3, -167 in decreasing order.
3, 0, -2, -167
Sort
|
{
"pile_set_name": "DM Mathematics"
}
|
(-5 + 0 + sqrt(396))**2).
-183*sqrt(11) + 1281
Simplify -3 + (sqrt(49)/(sqrt(14)/sqrt(2)))**2 + (sqrt(42) + (sqrt(42) - sqrt(504)/(sqrt(192) + sqrt(12) - sqrt(12))))/sqrt(6).
4 + 7*sqrt(7)/4
Simplify 1*(4 + -3*1*(-2 + sqrt(171)) + -5).
-9*sqrt(19) + 5
Simplify ((sqrt(320) + sqrt(320) + -1 + sqrt(320) + 2 - sqrt(320) - (sqrt(320) + sqrt(320) + 1 + sqrt(320))*-5)*-5)**2.
40800*sqrt(5) + 2312900
Simplify (sqrt(1458) - (sqrt(1458) - sqrt(1458)*-1))/(-2*sqrt(225)) + sqrt(72)*1*5*-4.
-1191*sqrt(2)/10
Simplify (sqrt(450)*4 + sqrt(18))/(sqrt(9) + -1*sqrt(81)).
-21*sqrt(2)/2
Simplify -1*(sqrt(51)/(sqrt(6)/sqrt(2)) + (2*sqrt(612) - sqrt(612)) + 0)**2.
-833
Simplify (-4 + (sqrt(684)*-4 - sqrt(684)) + sqrt(684) + sqrt(684)*-4 + sqrt(684) + sqrt(684) + 4)**2.
24624
Simplify -4 + sqrt(132)/(sqrt(12)/sqrt(4)) - ((5*(sqrt(11) + sqrt(33)/sqrt(3)))**2 + (3 + sqrt(11)*-2 - sqrt(11))).
-1107 + 5*sqrt(11)
Simplify ((5*(sqrt(528) + 1*sqrt(528) + sqrt(528)) + sqrt(528))/(-1*sqrt(99)))**2*-3.
-4096
Simplify sqrt(20)/sqrt(36) + sqrt(45)/(sqrt(36)/sqrt(4)) + (sqrt(5)*2 + -5 - 5*sqrt(20))**2 + -2.
244*sqrt(5)/3 + 343
Simplify 0 + (sqrt(13) - sqrt(117))*4 + 5 + (sqrt(13) - 2*sqrt(13)) - (2 + 1*sqrt(208) + sqrt(52))**2.
-467 - 33*sqrt(13)
Simplify ((-2*sqrt(130)*1*2)/((2*sqrt(90) + sqrt(90))*5))**2.
208/2025
Simplify ((sqrt(135) - -1*sqrt(135))/sqrt(3))/(sqrt(9) - sqrt(27)/sqrt(3)*-6)*-6*3.
-36*sqrt(5)/7
Simplify (sqrt(114) - sqrt(114)*-3)/sqrt(6) + ((3*sqrt(19) + 5)**2 - sqrt(19)) + -1 + 1.
33*sqrt(19) + 196
Simplify (sqrt(33)/(sqrt(33)/sqrt(3)) + 4)**2 - (sqrt(9)/(sqrt(3) + sqrt(3) + 2*sqrt(363)))**2.
8*sqrt(3) + 3647/192
Simplify -4 + (sqrt(77) + (sqrt(77) - (-6*(sqrt(77) - 3*sqrt(77)) - sqrt(77))))/(4*sqrt(7)*-2).
-4 + 9*sqrt(11)/8
Simplify (0 + sqrt(162) + -3 + 5 + sqrt(162)*4 + sqrt(162) + -4)**2.
-216*sqrt(2) + 5836
Simplify -1*(0 + sqrt(11)*-1 + (3 + (sqrt(11) + 3)**2 - sqrt(11))).
-23 - 4*sqrt(11)
Simplify -5 + sqrt(80)/sqrt(4) + 4 + sqrt(320) + -2 + -5.
-8 + 10*sqrt(5)
Simplify (1 + (sqrt(3) - sqrt(240)/sqrt(5)) + sqrt(3) + sqrt(3))**2 - (sqrt(147) + sqrt(147)*2 + -5 - sqrt(147) - sqrt(147)).
-9*sqrt(3) + 9
Simplify -5*(((-6*(sqrt(2057) + -2) + sqrt(2057))**2 - sqrt(2057)) + 0 + sqrt(2057)*1)*5.
-1289225 + 33000*sqrt(17)
Simplify (1 + (3 + sqrt(3) + (-2*sqrt(27))/sqrt(9))*2)**2.
-28*sqrt(3) + 61
Simplify (3*-2*(-1 + sqrt(13)) - ((sqrt(104)/sqrt(2) + sqrt(52) - sqrt(52))*5)/sqrt(4))**2.
-132*sqrt(13) + 1609
Simplify (4 + 1 + -5 + -2*sqrt(448)*3 + 1)**2.
-96*sqrt(7) + 16129
Simplify ((-1*(-1 + sqrt(32)) - sqrt(32))**2 - (-1*sqrt(384) + sqrt(384) - sqrt(384))/sqrt(12))*-1.
-129 + 12*sqrt(2)
Simplify (3*((sqrt(2299) + 0)**2 - sqrt(2299)) - (sqrt(2299) + (sqrt(2299)*-1 + 4)**2 + sqrt(2299) + sqrt(2299)))*-4 + -4.
-18332 - 88*sqrt(19)
Simplify (((sqrt(170) - (sqrt(170) - (sqrt(170) - sqrt(170)*1*-5)))*-6)/(-1*sqrt(360) - (sqrt(50)/sqrt(5) - sqrt(10))*-2))**2.
612
Simplify (-1 + (sqrt(300)*-2 + sqrt(300) + sqrt(300))*4 + sqrt(300) + -2 + 0)**2.
-60*sqrt(3) + 309
Simplify (sqrt(7056)*-1*-1)/((sqrt(567) - 4*sqrt(567))*-6).
2*sqrt(7)/27
Simplify -4*(sqrt(190) + (-1*sqrt(190) + sqrt(190))*3 + sqrt(190))/(sqrt(10)*1*-5).
8*sqrt(19)/5
Simplify (sqrt(35)*-6*6)/((sqrt(240)/sqrt(6))/sqrt(8) + sqrt(5))*-2.
36*sqrt(7)
Simplify (sqrt(33)/(sqrt(3) - sqrt(24)/(sqrt(8)*-2)) - (1*sqrt(539) + -2))**2.
-76*sqrt(11)/3 + 4007/9
Simplify ((sqrt(1539) + (sqrt(1539) - (sqrt(1539) + sqrt(1539)*2))*3)**2 - (-2*(2 + sqrt(1539)))**2)*4.
-576*sqrt(19) + 129212
Simplify (6*(sqrt(65) + sqrt(65)*-1*6))/(2*sqrt(320) - (sqrt(5) - (sqrt(5) + 1*sqrt(605)))).
-10*sqrt(13)/9
Simplify 3*((sqrt(1100) - (1 + sqrt(1100)))*2 - (((sqrt(77) + (sqrt(77) - sqrt(77)*2) + sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77))*3)/sqrt(7))**2).
-4758
Simplify (-2*(sqrt(450) + -4 + sqrt(450) + -5))**2 + 3.
-2160*sqrt(2) + 7527
Simplify (sqrt(96)*1 - sqrt(96) - 2*sqrt(24))/((6*(sqrt(9) - -1*sqrt(9)))/sqrt(3)).
-sqrt(2)/3
Simplify ((-1*sqrt(143) - sqrt(143))*-2)/(sqrt(176)*5) + (((sqrt(78)*2 + sqrt(78))*4)/(sqrt(60)/(sqrt(10) + sqrt(10)*1 + sqrt(10))))**2.
sqrt(13)/5 + 16848
Simplify ((5 + sqrt(252)*-2*-1 + -1 + ((sqrt(252) + -2*sqrt(252))*-5 + sqrt(252) - sqrt(252)))*3)**2.
3024*sqrt(7) + 111276
Simplify 3 + (sqrt(396) - 5*(sqrt(396) + 2*sqrt(396)))/(sqrt(90)/(1*sqrt(10))).
-28*sqrt(11) + 3
Simplify 4*(-5 + ((sqrt(216) + 1*sqrt(216) - sqrt(216) - sqrt(216))/sqrt(6) - sqrt(36))/sqrt(12)).
-20 - 4*sqrt(3)
Simplify (3*(sqrt(209) - (-1*sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
Round k to five dps.
0.00007
Let a = 170 - 169.842. Let t = 0.158162 - a. Round t to 5 decimal places.
0.00016
Let c = -4.1 + -237.9. Let b = 590 + c. Let o = b - 348.000157. What is o rounded to five decimal places?
-0.00016
Suppose w = 4*u + 397596, 14*u - 2*w = 16*u + 198808. Round u to the nearest 10000.
-100000
Let s = 127.9 - -34.1. Let q = 112 - s. Let x = -50.193 - q. What is x rounded to two dps?
-0.19
Let x = -5959.8 - -5958.39987. Let t = 1.4 + x. What is t rounded to 4 dps?
-0.0001
Let m = 0.02 + 0.66. Let q = 0.6800063 - m. What is q rounded to 6 dps?
0.000006
Let g = -3 + 7. Suppose g*x - 4*b = -15944, -5*x + b - 19946 = -0*b. Round x to the nearest one hundred.
-4000
Let y be (3 - -104665 - 1) + -2. Let m = y - -31335. Suppose 0*z - 4*z = -m. What is z rounded to the nearest 10000?
30000
Let a = -5.5 - -7. Let t = a - -10.5. Let x = t - 11.22. Round x to one decimal place.
0.8
Let d = -57 - -57. Let x be 6*-201*40/(-36) - d. What is x rounded to the nearest 100?
1300
Let u(t) = -t**2 + 24*t - 4. Let n be u(19). Suppose 0 = -s - 2*o - 30 + n, -216 = -4*s - o. What is s rounded to the nearest 10?
50
Suppose 12*x + 46234350 = -20413650. What is x rounded to the nearest 100000?
-5600000
Let d = -5180 + 5150.89. Let y = d - -29. Round y to one dp.
-0.1
Let c = 10565204.000072 + -10565261. Let x = c + 57. Round x to 5 dps.
0.00007
Let p(c) = -281*c - 2. Suppose 0*t - 57 = -3*t. Suppose -5*x - t = -9. Let q be p(x). What is q rounded to the nearest one hundred?
600
Let r = 0.2265 + -187.4265. What is r rounded to the nearest ten?
-190
Let r = -142 + 60. Let b = 82.78 + r. Round b to 1 dp.
0.8
Let r = -1.2 - 15.3. Let a = -19.7 - r. Round a to 1 decimal place.
-3.2
Let y = 2 - 0. Suppose -2*l + 2*h + 16 = 0, -y*h - 6 = 2. Let j(a) = -1248*a - 8. Let s be j(l). What is s rounded to the nearest ten thousand?
-10000
Let p = 20.549 - 19.71644. Let i = 8.96354 + p. Let o = 9.8 - i. What is o rounded to 3 dps?
0.004
Let k = 20634342 + -29480342. Round k to the nearest 1000000.
-9000000
Let q = -2722.23 + 2739. Let v = 1.27 - q. Round v to zero dps.
-16
Let v = -309.999067 + 310. Round v to four decimal places.
0.0009
Let g = -692 + 691.259. Round g to one dp.
-0.7
Let f = -378227.550074 - -378139.55. Let u = 88 + f. Round u to 5 dps.
-0.00007
Let g be 546/56 + 2/8. Suppose -g*x - 541 = 169. Round x to the nearest 10.
-70
Let x = 90537 + -97949.4. Let z = 7412.3500048 + x. Let i = z - -0.05. What is i rounded to 6 dps?
0.000005
Let u = -870 + 1260. Let f = 234 - u. Let j = f - -155.9909. What is j rounded to three dps?
-0.009
Let o = 1099373 + -659373. Round o to the nearest 1000000.
0
Let o = -1272467167 - -1272467095.99999785. Let i = 71 + o. What is i rounded to seven decimal places?
-0.0000022
Let r = -2.3 + 0.3. Let k = 63048 - 63050.000025. Let o = r - k. Round o to 5 decimal places.
0.00003
Let i = -0.077811 - 18.558589. Let x = i - -18.6. What is x rounded to 2 dps?
-0.04
Let d = 1 - -1. Suppose -5*w + d*k + 16058 = k, -w - 3*k = -3218. Let i = w + 2088. What is i rounded to the nearest one thousand?
5000
Let n = -88 - -136. Let l = -47.9999768 + n. What is l rounded to 5 decimal places?
0.00002
Let d = 3107.99997546 + -3108. What is d rounded to five dps?
-0.00002
Let y = 24 + -23.41. Let x = -0.6072 + y. What is x rounded to three dps?
-0.017
Let g = 1039.8 + -423.5. What is g rounded to the nearest 10?
620
Let x = -3.243 + 0.123. Let a = -2.939 - 0.061. Let w = x - a. Round w to 1 decimal place.
-0.1
Let a = 230.09824 - 227. Let c = a + -3.1. What is c rounded to 4 dps?
-0.0018
Let o = -2 - -15. Let u be 4/2 + 37699974/o. What is u rounded to the nearest 1000000?
3000000
Let q = -8 + 1. Suppose 7*k + 502 = 61. Let v = k + q. Round v to the nearest one hundred.
-100
Suppose -i - 12 = -5*i. Suppose 3*x - 12 = -0*x. Suppose -x*q - 25588 = -4*t - q, -i*t + 19196 = -q. Round t to the nearest 1000.
6000
Let i = 513 - 512.99999346. What is i rounded to six dps?
0.000007
Let a be 20538/(-3) + -2 + 5. Let g = -15043 - a. Round g to the nearest 10000.
-10000
Let l = 12 + -8. Suppose 0 = -5*h - 4*q - 74, h - 5*q + 110 = -l*h. What is h rounded to the nearest ten?
-20
Let l(f) = -f + 17. Let c be l(11). Suppose c*r - 2*r - 5160000 = 0. What is r rounded to the nearest 100000?
1300000
Let t = -14 - -7.4. Let p = t + 6.647. What is p rounded to 2 dps?
0.05
Let v = 853 - 853.003038. Round v to 4 dps.
-0.003
Let b = -31.03036 + 0.06336. Let q = 31 + b. Let m = q - 0.08. Round m to two dps.
-0.05
Suppose 12*n = 9*n + 4243467. Suppose -2*j + n - 374489 = 0. Round j to the nearest one hundred thousand.
500000
Let z(d) = -77127*d**2 - 20*d + 43. Let f be z(17). What is f rounded to the nearest 1000000?
-22000000
Let j = 0.0252 - 0.02971. What is j rounded to 3 dps?
-0.005
Let p = -23 - -23.02. Let n = p - -0.004. Round n to two decimal places.
0.02
Let i = -41.9 + 41.9006714. What is i rounded to four dps?
0.0007
|
{
"pile_set_name": "DM Mathematics"
}
|
v + -105. Let j = -23 - f. What is the third smallest value in 0, j, -54?
0
Let u be (6 + -22 + 15)*7. What is the second biggest value in -2/3, u, 163?
-2/3
Let y = -57.75 + 49.5. Let i = y + 12.65. What is the smallest value in 3/7, -2, 0.1, i?
-2
Let i = 29 - 28.1. Let x = -355 - -349. Which is the second smallest value? (a) i (b) -0.4 (c) x
b
Let n(t) = -14*t**3 - 2*t**2 + 1. Let p be n(-1). Suppose -17*r = 21 + p. Let s = -0.9 - -4.9. Which is the third smallest value? (a) r (b) 3/7 (c) s
c
Let k = -0.08312 + -0.01688. Let s = -152/1495 - 6/115. Let y = 24 + -121/5. What is the third biggest value in -5, s, k, y?
y
Let z(n) = -328*n + 1310. Let u be z(4). Which is the fifth smallest value? (a) u (b) 4/5 (c) -36 (d) 0.5 (e) 0.4
b
Let u = 2.9 + -3. Let t(w) = -115*w**2 - 3907*w + 101. Let h be t(-34). Which is the third biggest value? (a) h (b) -122 (c) u
b
Let x = -12/18115 + -44059/213757. Let r = x - -2/295. What is the biggest value in 35, r, 2, 4?
35
Let l = 5425.5 - 5426. Which is the biggest value? (a) 41.41 (b) l (c) 2/13
a
Let q = 0.1056 + 0.2944. Which is the fourth biggest value? (a) -0.04 (b) q (c) 0.04 (d) -3 (e) 5
a
Let o = 323771 + -323774. Let p be (12/(-110))/(3/15). Let k = -100/143 - p. Which is the third biggest value? (a) 5/12 (b) k (c) o
c
Let p = 0.2 - 0.4. Let b = -0.2 - p. Let j = 97/12 - 95/12. What is the second smallest value in j, -0.1, b?
b
Let v = -28926 - -28926.2. What is the biggest value in -5, 0.01, v, 3/8, 3?
3
Let s = 37.53 - 37.83. Let t = -1.1 - -0.6. What is the fourth biggest value in t, s, -1/4, -4?
-4
Let g = 0.23 + 2.67. Let n = -4.137 + 0.137. What is the second smallest value in g, n, -0.5?
-0.5
Let h be ((-1162)/70 - -15) + 2. Which is the second smallest value? (a) h (b) 5 (c) 16
b
Suppose -9*f + 896 = -7*f. Let q be (f/6 - 3) + (-2)/(-6). Let o = -361/5 + q. Which is the third smallest value? (a) -2/17 (b) o (c) 2/15
c
Let k = -54 - -35. Let l = -101514.7 - -101515. Which is the second smallest value? (a) l (b) -0.2 (c) k
b
Let v be 0/(-12) + 6 + -2137. Which is the smallest value? (a) -5 (b) v (c) 1 (d) -4
b
Let o = 781 - 784. Let x be (-3)/20*(-5)/2. Let j = 22 - 19. Which is the fourth biggest value? (a) o (b) -1/4 (c) x (d) j
a
Suppose -575*m - 20 = -578*m + 2*y, 0 = 7*m - 2*y - 20. Let h = -19/2 - -33/4. What is the second biggest value in 2, -2/19, h, m?
m
Let q be (-5)/2*-2*(-9)/(-1800)*-4. Which is the third smallest value? (a) -1/4 (b) q (c) 0 (d) -3/4
b
Let d = 40.272 - 43.272. Let i = 11 - 5. What is the fourth biggest value in -5, i, d, -0.2?
-5
Let l = 355.94 + -356. Let z = 30 - 30.2. What is the third smallest value in 0.3, l, z?
0.3
Let z = -0.9 - -5.9. Let y = 3541 - 3537. What is the fourth smallest value in y, -4, z, 6/7?
z
Let w = -11892 + 11806. Which is the third smallest value? (a) 0 (b) -3/4 (c) w (d) 4 (e) -5
b
Let s = -7552 + 7544. Which is the smallest value? (a) s (b) 0.138 (c) -0.1 (d) -3/5
a
Let o = 0.059 + 3.001. Let s = o + -2.06. Which is the smallest value? (a) -3 (b) s (c) 2/9
a
Suppose -4965*j + 4883*j = 328. Which is the biggest value? (a) 1 (b) j (c) -0.0697
a
Let p be (4 + -4)/(-1) + 39/10. Let y = p - 253/70. Which is the second biggest value? (a) 0.5 (b) y (c) -1/2
b
Let j = 18037 - 18138. Which is the third biggest value? (a) -5 (b) 1/6 (c) -2 (d) j (e) -1
c
Let l = -60 + 53. Let o = -3 - l. Let x be (2 + -1)*(-4 - -1). Which is the biggest value? (a) x (b) 0.2 (c) -5 (d) o
d
Let u(b) = -2*b + 21. Let y be (-9)/12 + 8/(-32). Let p be -14 - -17 - (-5 + y). Let o be u(p). What is the third biggest value in o, -0.5, 0.1?
-0.5
Let f = 191.608 + 0.392. Let g = f - 191. What is the fourth biggest value in 5, -2/7, -4, g?
-4
Let i = -26 - -21. Let s be (6/(-255))/(((-4)/4)/i). Suppose -c = 3*c. What is the smallest value in 5, s, 4, c?
s
Let i = 2.3 - -324.7. Let x = i - 327.4. Which is the third smallest value? (a) -4 (b) -2/17 (c) -7 (d) x
d
Let m(f) = f**3 - 6*f**2 - 4*f + 9. Let b be m(6). Let z = 1/629 + -1267/5661. What is the second biggest value in b, z, 1?
z
Suppose -120 = -3*r - r. Let z = r + -209/7. Let g = 7019 - 7019.7. What is the fourth smallest value in -4, 2, g, z?
2
Let o be (-1435)/280 - 3/(-24). Which is the second smallest value? (a) 0.3 (b) 1 (c) 2/23 (d) -0.3 (e) o
d
Let q = -2483 - -2483.5. What is the smallest value
|
{
"pile_set_name": "DM Mathematics"
}
|
-12 in 8, -0.01, 1?
-0.01
What is the nearest to -6 in 2, -8, 0.61?
-8
What is the nearest to -5 in -2, -0.1, 3/7, 16, -4?
-4
What is the nearest to 11 in 0.3, -0.033, -0.5, 0, 2/11?
0.3
Which is the nearest to -1.88? (a) -0.2 (b) 2 (c) 2/5 (d) 6
a
Which is the nearest to -14? (a) 0.04 (b) 6/7 (c) 27.5
a
Which is the nearest to 2? (a) 1 (b) -0.2 (c) 5
a
Which is the nearest to 3/5? (a) 15 (b) 1/3 (c) 35 (d) -0.1
b
What is the nearest to -63 in 4, 2, -1/6, -20?
-20
What is the closest to 48 in -7, -1, 4, 3, 0.4?
4
What is the closest to -1/45 in 3/2, -3.9, 3, -4, 8?
3/2
Which is the nearest to -2? (a) -12011 (b) -3 (c) 1
b
What is the closest to 736/15 in 3, 0.1, 0.2?
3
What is the nearest to 1/2 in 23, 1/6, -12, -0.6, 2?
1/6
What is the nearest to -0.2 in -0.09, 9, -2/5, 1?
-0.09
What is the closest to 8 in 1/2, -1.1, 0.36, 1/5?
1/2
Which is the closest to 2? (a) -3 (b) -31 (c) 2/5 (d) 16 (e) 4
c
Which is the closest to 0? (a) 0.08 (b) -12 (c) 7 (d) 0.4
a
Which is the closest to 2? (a) 2/39 (b) -3 (c) 5 (d) -0.55
a
Which is the closest to -0.1? (a) 23 (b) -82/5 (c) 1/15
c
Which is the nearest to 4/139? (a) 0 (b) -2 (c) 4
a
What is the closest to 0.1 in -0.2, 0.062, -4, 98?
0.062
Which is the nearest to -6? (a) 3 (b) -6 (c) -0.4 (d) 15
b
What is the nearest to 0.1 in 1, -4, 5095?
1
Which is the nearest to -2/7? (a) -18 (b) -0.5 (c) -8/3 (d) -29
b
What is the nearest to 25/7 in 0, 1/60, 1/10, -7?
1/10
What is the closest to 12893 in -1/7, -0.1, -2/5, 2?
2
Which is the closest to 7/2? (a) 62 (b) 0.2 (c) 0.5
c
What is the closest to 9 in -7, 8/3, 5, -1, 2/3?
5
What is the nearest to 1.4 in 2, -1/5, -2/3, -0.09?
2
What is the closest to 1/5 in -4, 4, 3.71, -2/5?
-2/5
Which is the closest to -0.06? (a) 0.3 (b) 0.1 (c) 18
b
What is the nearest to -0.1 in 5.3, 2/13, -268, 0.5, 0.3?
2/13
Which is the nearest to -2/3? (a) -0.47 (b) 14.6 (c) 4 (d) -4
a
What is the closest to -4 in 1/9, -0.3, -1.8?
-1.8
What is the nearest to 9 in 1/67, -0.2, -1/4, 25, 3?
3
Which is the closest to 1/2? (a) -0.5 (b) 0.3 (c) -4/53 (d) -0.1 (e) -40
b
Which is the closest to 0.7? (a) -6/29 (b) 2/3 (c) -2/5
b
What is the closest to 5 in -19, 15, 2, -0.4?
2
Which is the nearest to -2/5? (a) 0.1 (b) 672 (c) -2/19
c
Which is the nearest to 0.2? (a) 0.3 (b) 2643 (c) 4 (d) 1 (e) 3
a
What is the nearest to -2/5 in 0.3, 0.4, -5, -5052?
0.3
What is the nearest to -3/8 in 9, -4, -6/7?
-6/7
Which is the closest to 1243? (a) -1/7 (b) -1/44 (c) -1/9
b
What is the nearest to 2/7 in -0.2, 1, 1/4, -66/13, 2?
1/4
Which is the closest to 0.1? (a) 4 (b) -0.025422 (c) 0.5
b
Which is the nearest to 0? (a) -3 (b) 48/985 (c) 2/5
b
What is the nearest to 31 in 5, 0.5, 47498?
5
What is the nearest to 0.2 in -6, 11791, 4, -0.1?
-0.1
Which is the closest to 1? (a) -0.12 (b) 0.1 (c) 184.7 (d) -3
b
What is the closest to -70 in 4, -4, 2, 0?
-4
Which is the closest to 1? (a) -2/3 (b) -0.09 (c) -0.4 (d) -44
b
Which is the closest to -73? (a) -2/19 (b) -4 (c) -1/7
b
Which is the nearest to -2/5? (a) 0.0011166 (b) -1/2 (c) -4
b
Which is the closest to -1/4? (a) -0.4 (b) 113 (c) -6 (d) -5
a
What is the closest to -59.81 in 0.1, -4, 1?
-4
What is the closest to 0.1 in 10, 171, -2/11, 1?
-2/11
What is the closest to -9 in 4/5, -3/10, -0.05?
-3/10
Which is the nearest to 2? (a) -0.6 (b) -51 (c) 0.5 (d) 2
d
What is the nearest to -4 in 8/9, 2/19, 1/10, -4, -3/2?
-4
Which is the closest to 0.2? (a) -4 (b) -1/6 (c) 15 (d) 6/5 (e) 1
b
Which is the nearest to 2/7? (a) -5 (b) -8546 (c) 1
c
Which is the closest to -1? (a) -3 (b) -0.3 (c) 4 (d) 74 (e) -1
e
What is the nearest to 20 in 2/5, 0.5, 6, -68?
6
What is the nearest to 2/1543 in 8, 1, 7?
1
What is the nearest to -79/5 in 28, 4, 2/19?
2/19
Which is the closest to 6/311? (a) 6 (b) 5 (c) 1
|
{
"pile_set_name": "DM Mathematics"
}
|
*6/360 + c**3/6 + 2*c**2. Let u(k) be the first derivative of v(k). Find the third derivative of u(n) wrt n.
120*n**2
Suppose 7*p + 5 - 5 = 0. Let d(l) be the second derivative of 0 + 2*l + 1/6*l**3 + 0*l**4 - 1/5*l**5 + p*l**2. Find the second derivative of d(v) wrt v.
-24*v
Let c(b) = -48*b + 21. Suppose -l - 10 = -6*l. Let x(u) = 1 + l - 5*u - 2*u. Let j(g) = 4*c(g) - 27*x(g). Find the first derivative of j(h) wrt h.
-3
Suppose 4*b + 8 = 8*b. What is the second derivative of -3*f + 2*f**2 - 5*f**b + 0*f wrt f?
-6
Suppose m = -4 + 6. Let p be 92/22 - 4/22. Differentiate p*w**2 - 1 - 3*w**m - 2*w**2 with respect to w.
-2*w
Let u be 2/10 + (-52)/10. Let k = -3 - u. What is the second derivative of 0*f**2 + f**k - f - f - 2*f**2 wrt f?
-2
Let o = 4 + -4. Suppose o = u - 2 - 1. What is the derivative of -2*f**u - 1 + 5*f - 5*f wrt f?
-6*f**2
Find the second derivative of 0*c + c**3 - 4*c**3 + 2*c wrt c.
-18*c
Let u(y) be the third derivative of -1/3*y**3 + 0*y**4 - 1/30*y**5 + 0 - y**2 + 0*y. Differentiate u(v) with respect to v.
-4*v
Let t(n) be the second derivative of 1/4*n**4 + 0 + 2/15*n**6 + 0*n**2 + 0*n**5 + 0*n**3 + 2*n. Find the third derivative of t(x) wrt x.
96*x
Let x(r) = -7*r**3 - 2*r + 5. Let m(a) = -6*a**3 - 3*a + 4. Let c(n) = -2*m(n) + 3*x(n). Differentiate c(h) with respect to h.
-27*h**2
Let t(i) be the first derivative of -18*i**5/5 + 14*i**3/3 + 39. What is the third derivative of t(l) wrt l?
-432*l
Suppose -4*x = -2 - 6. Let r be 3/2 + 3/x. Find the second derivative of r*f + 3*f**2 + 2*f - 3*f wrt f.
6
What is the derivative of -3 + 4 - 7 - b**2 - 3*b**2 wrt b?
-8*b
Suppose 0*k + 2*k = 4. Find the second derivative of t + 0*t + t**5 + 4*t - k*t wrt t.
20*t**3
Let s(r) be the second derivative of -r**6/6 - 4*r**3/3 + 9*r. What is the second derivative of s(c) wrt c?
-60*c**2
Let w(t) = -t**3 - 5*t**2 - 4*t + 4. Let p be w(-4). What is the second derivative of -3*z - 2*z**p + 0*z**4 + z wrt z?
-24*z**2
Let h(b) be the second derivative of -b**4/12 + 4*b**2 + 5*b. Differentiate h(v) with respect to v.
-2*v
Let y(z) = -z**3 + z**2 - z + 1. Let x(u) = 38*u**4 + 4*u**3 - 24*u**2 + 4*u - 4. Let b(i) = x(i) + 4*y(i). Find the third derivative of b(v) wrt v.
912*v
Let j(g) be the first derivative of -15*g**4/4 + 11*g**3/3 - 12. What is the third derivative of j(y) wrt y?
-90
Let f(s) be the third derivative of s**4/24 + 7*s**3/6 - 2*s**2. Let y be f(-5). Find the third derivative of -m**5 + 2*m**y - 4*m + 4*m wrt m.
-60*m**2
Let p be 1 + -1*1*-2. Let m be ((-3)/(-2))/(p/6). Differentiate -2 + 0 - 2*n**m + 3 with respect to n.
-6*n**2
Let m = 4 + 4. What is the first derivative of 7 + 5*a**4 - 4*a**4 + m*a**4 wrt a?
36*a**3
Let c(b) = -1. Let w(g) = 3*g**2 - 5*g - 3. Let o(m) = 6*c(m) - 2*w(m). Find the second derivative of o(t) wrt t.
-12
Let l(v) be the second derivative of -3*v**7/7 - 5*v**4/3 + 13*v. What is the third derivative of l(k) wrt k?
-1080*k**2
Let q(k) be the first derivative of -k**7/840 - k**6/120 + k**3/3 - 1. Let r(o) be the third derivative of q(o). Find the third derivative of r(j) wrt j.
-6
Let d = 21 - -4. Differentiate g**4 - 25*g**3 + 5*g**4 + 6 + d*g**3 with respect to g.
24*g**3
What is the derivative of 3 - 1 - 3 - 2*t**3 - 2*t**3 wrt t?
-12*t**2
Let y(a) = 66*a - 144. Let i(m) = -5*m + 11. Let r(k) = -27*i(k) - 2*y(k). Differentiate r(n) wrt n.
3
Let c(a) = a**5 + 3*a**3 - 3*a**2 + 18*a - 3. Let u(s) = s**3 + s**2 + 1. Let g(m) = c(m) + 3*u(m). What is the second derivative of g(b) wrt b?
20*b**3 + 36*b
Find the second derivative of -3*y**2 + 2*y**2 - 4*y**2 + 2*y + 4*y**2 wrt y.
-2
Let x(h) be the first derivative of h**2/2 + 4. Let k be x(0). What is the second derivative of k*m**4 - m - m**4 + 2*m**4 - m wrt m?
12*m**2
Let a(y) = 8*y**4 + 13*y**3 - y**2 + 13. Let c(d) = 2*d**4 + 3*d**3 + 3. Let v(h) = 6*a(h) - 26*c(h). What is the third derivative of v(z) wrt z?
-96*z
Suppose -2*t + 1 = -t. What is the derivative of 3*x - 7*x + t + x wrt x?
-3
Let j = 2 + -1. Suppose -5*w - 4*n + 25 = 0, -5*n + 7 = -3*w - 3*n. Differentiate j + w - 3*i**3 + 3 with respect to i.
-9*i**2
Let o(s) = -4*s**3 - 2*s**2 + 4*s. Let x(c) = -c**2 - c. Let b(q) = -3*o(q) - 12*x(q). Find the third derivative of b(d) wrt d.
72
Let n be (8/(-14))/((-2)/7). Find the third derivative of 9*f**4 + 5*f**2 + 7*f**4 + 0*f**n - 8*f**4 wrt f.
192*f
Let q
|
{
"pile_set_name": "DM Mathematics"
}
|
90. Give d(-49).
6
Let g(f) = 12686*f - 12696. What is g(1)?
-10
Let y(j) = 1509*j + 48295. Give y(-32).
7
Let t(p) = 61*p**2 + 1066*p + 58. Calculate t(-16).
-1382
Let k(h) = 3*h**3 - 250*h**2 + 125*h - 3505. Give k(83).
-19
Let l(q) = -q**2 + 274*q - 4066. Calculate l(259).
-181
Let r(z) = 2*z**3 - 67*z**2 + 85*z + 458. Determine r(32).
106
Let d(r) = 10*r**2 + 21880*r - 665390. Give d(30).
10
Let v(r) = -19*r**2 + 9*r + 311. Give v(5).
-119
Let w(f) = -f**3 - 42*f**2 + 305*f + 7903. Calculate w(-45).
253
Let a(t) = -68*t**2 + 4086*t - 4086. Give a(1).
-68
Let w(f) = 79*f + 7918. Calculate w(-108).
-614
Let i(x) = -535*x**2 + 3786*x + 3. Calculate i(7).
290
Let k(b) = -2*b**3 + 46*b**2 + 125*b + 5. Determine k(25).
630
Let x(z) = 3*z**2 + 4639*z + 46143. What is x(-10)?
53
Let o(f) = 2*f**3 + 56*f**2 - 481*f + 3430. What is o(-36)?
10
Let h(s) = -4942*s**2 - 301463*s - 55. Determine h(-61).
6
Let y(v) = -2*v - 2365. Determine y(187).
-2739
Let c(r) = -6*r**2 - 402*r + 363. Calculate c(-68).
-45
Let k(b) = -b**3 - 5*b**2 + 704*b - 2059. Determine k(3).
-19
Let o(b) = -37433*b + 187374. What is o(5)?
209
Let h(m) = 3*m**2 + 3244*m - 39316. Determine h(12).
44
Let a(b) = 5254*b**2 + 47289*b + 27. Calculate a(-9).
0
Let f(n) = n**2 - 2*n - 898. Calculate f(41).
701
Let b(c) = 24868*c + 3531253. Give b(-142).
-3
Let r(w) = w**3 - 8482*w**2 + 67788*w + 28. Determine r(8).
-4
Let w(h) = -h**3 + 434*h**2 - 9057*h - 146. Determine w(22).
8
Let x(r) = -221*r - 650. Give x(-3).
13
Let x(m) = 190*m**2 + 13824*m - 3366. What is x(-73)?
-8
Let l(f) = 112300*f - 112327. Give l(1).
-27
Let n(y) = -y**3 + 758*y**2 - 6654*y - 65174. Give n(749).
-11
Let g(y) = 48*y - 1035. Determine g(25).
165
Let p(j) = 238*j**2 - 938*j - 54. What is p(4)?
2
Let r(l) = 3069397*l - 24555163. What is r(8)?
13
Let h(m) = 54235*m + 1030473. Determine h(-19).
8
Let z(d) = 39*d**2 - 487*d + 2455. Calculate z(5).
995
Let q(m) = -130*m + 3620. Calculate q(18).
1280
Let k(w) = w**2 + 558*w - 12942. Calculate k(24).
1026
Let c(v) = -59*v**3 + 8*v**2 + 9*v - 5. Determine c(-3).
1633
Let x(f) = -77264*f + 1467966. Give x(19).
-50
Let o(k) = 1321*k**2 - 6624*k + 99. What is o(5)?
4
Let n(s) = -795*s**2 + 11078*s + 668. Determine n(14).
-60
Let o(y) = 2*y**2 + 369*y + 5125. Calculate o(-170).
195
Let z(r) = -32*r**2 + 32097*r - 1010. Calculate z(1003).
-7
Let q(p) = -7*p**2 + 922*p - 9046. Calculate q(121).
29
Let m(t) = 3*t**3 + 446*t**2 - 1990*t - 343. What is m(-153)?
-190
Let c(r) = 60*r**2 - 19303*r - 5459. What is c(322)?
15
Let q(n) = -718*n**2 - 7088*n + 31. Calculate q(-10).
-889
Let b(j) = -861*j - 5413. Calculate b(-8).
1475
Let o(n) = -4*n**2 + 675*n + 266599. Determine o(356).
-45
Let z(p) = 9*p**2 - 1287*p + 239. Calculate z(143).
239
Let p(q) = -q**2 - 213*q + 1493. What is p(7)?
-47
Let s(c) = -46*c**2 - 283*c - 3098. What is s(-12)?
-6326
Let f(p) = p**3 + 109*p**2 - 2110*p + 3930. What is f(-126)?
-102
Let h(g) = 2*g**3 - 13*g**2 + 3682*g - 22053. Calculate h(6).
3
Let u(b) = -b**3 - 39*b**2 + 12708*b + 449675. Calculate u(-35).
-5
Let l(i) = -i**3 + 33*i**2 + 69*i - 209. Determine l(35).
-244
Let s(l) = -15876*l + 142895. Give s(9).
11
Let s(o) = -6581*o + 38789. Determine s(6).
-697
Let y(l) = l**3 + 187*l**2 + 377*l + 1240. Give y(-185).
-55
Let k(x) = -49293*x - 18090541. Calculate k(-367).
-10
Let w(i) = -i**3 - 49*i**2 + 459*i + 82. What is w(-57)?
-89
Let u(x) = 10*x**2 + 586*x + 430. What is u(-59)?
666
Let d(b) = -598*b - 4234. What is d(-6)?
-646
Let w(y) = -y**3 + 779*y**2 - 12197*y - 182. Give w(16).
-6
Let q(g) = -6*g**2 + 416*g - 4866. Give q(43).
1928
Let p(o) = 9*o**3 - 11*o**2 - 80*o + 64. Give p(4).
144
Let h(f) = -f**3 + 390*f**2 - 1896*f - 11159. What is h(385)?
6
Let l(n) = -n**2 - 80*n - 125. What is l(-56)?
1219
Let u(k) = -32429*k - 1167436. Determine u(-36).
8
Let h(d) = -6504*d + 279663. Determine h(43).
-9
Let f(v) = 21*v**2 + 172*v + 312. Determine f(-4).
-40
Let u(a) = 40*a**3 + 31*a**2 - 50*a +
|
{
"pile_set_name": "DM Mathematics"
}
|
e prime factors of u.
2, 3
Let l = 163 - 264. Let g = -33 + -26. Let j = g - l. What are the prime factors of j?
2, 3, 7
Suppose -3*l = 4*s - 2840, l + 729 - 3577 = -4*s. What are the prime factors of s?
23, 31
Let t = -3986 - -6417. List the prime factors of t.
11, 13, 17
Suppose -5769 = -g + b, 36*g - 28847 = 31*g + 3*b. What are the prime factors of g?
2, 5, 577
Suppose -5*a + 20287 = 2*h, 0 = 5*a - 2*h - 23640 + 3357. List the prime factors of a.
4057
Suppose -565 = 5*r - 1995. What are the prime factors of r?
2, 11, 13
Let w = -122 + 122. Suppose -2*k - k - 4*z = -561, -2*k - 5*z + 374 = w. What are the prime factors of k?
11, 17
Let s be ((-2)/3)/((-1)/276 - 0). Suppose 54*f - 50*f - s = 0. List the prime factors of f.
2, 23
Suppose 500 + 1162 = 3*a. List the prime factors of a.
2, 277
List the prime factors of 7605/51 - (-4)/(-34).
149
Let r = -713 + 1330. What are the prime factors of r?
617
Let q(w) be the first derivative of -w**3 + 1/2*w**4 + 0*w**2 + 0*w - 4. What are the prime factors of q(3)?
3
Let m(r) = 4*r - 38. Let v be m(0). What are the prime factors of (-2 - -10)*v/(-8)?
2, 19
Let g = 626 + 375. List the prime factors of g.
7, 11, 13
Let r be (-40)/10 - (-12)/2. List the prime factors of (62/6)/(r/6).
31
Let v(b) = -b**2 + 6*b - 3. Let l be v(4). Suppose -3*w = -l*w + 2. What are the prime factors of 34 + 0 + w + -3?
2
Let i = 286 + -202. List the prime factors of i.
2, 3, 7
Suppose 122*i - 115*i - 1869 = 0. What are the prime factors of i?
3, 89
Let m(r) = r**3 + 17*r**2 - 17*r + 37. Let c be m(-18). Suppose 0 = -2*p + 15 + c. List the prime factors of p.
17
Suppose -4*t + 3*k - 1 = -16, k - 11 = -4*t. Suppose t*h - 3*o - 220 = 263, 0 = h + 5*o - 179. What are the prime factors of h?
2, 41
Let w = -3115 - -5241. What are the prime factors of w?
2, 1063
Let x(f) = f**2 - 2*f - 2. Let j be x(0). What are the prime factors of 88/j*(-4 + 2)?
2, 11
Let b(g) = g**3 - 3*g - 2. Let a be b(6). Let c = a + -90. List the prime factors of c.
2, 53
Let y = 24 + -19. Let k(u) = -u**2 + 5*u + 4. Let c be k(y). List the prime factors of 1688/28 + c/(-14).
2, 3, 5
Let x(b) = -8*b**3 - b**2 - 2*b - 2. Suppose 3*z = -2*w + 1 - 2, -w + 5*z - 7 = 0. List the prime factors of x(w).
2, 31
Let p(r) = 723*r - 6. Let q be p(2). Suppose 23*k - q = 18*k. What are the prime factors of k?
2, 3
Let t be (-27)/(-6)*1240/15. What are the prime factors of (t/(-36))/(2/(-6))?
31
Let w(i) = i**2 + 3*i + 14. Let l be (-44)/6*6/(-4). Suppose 35 = -4*p + l. What are the prime factors of w(p)?
2
Let j(c) be the first derivative of -c**4/4 + 11*c**3/3 - 6*c**2 + 6*c + 7. Let p be j(10). Let o = 42 + p. List the prime factors of o.
2, 7
Suppose 0 = -4*a + i + 17, 4*i = a - 17 - 6. Let t be 5/(8/(-4) + a). Let z = 3 + t. List the prime factors of z.
2
Suppose 4*v - 2*d - 138 - 198 = 0, 3*v = -5*d + 252. Suppose -4*w + v = -3*j, -2*w + 42 = 3*j - 4*j. List the prime factors of w.
3, 7
Let t(x) = 18*x + 10. Let n be t(3). Suppose -o - n = -2*o. List the prime factors of o.
2
Let h(b) = b**3 + 13*b**2 - 3*b + 27. List the prime factors of h(-8).
7, 53
Let n = -3515 - -5249. List the prime factors of n.
2, 3, 17
Let i be (-5 - -2 - -2)*39. Let b = i + 89. What are the prime factors of b?
2, 5
List the prime factors of (-1 - -4768) + (-14 - -20).
3, 37, 43
Suppose -o = -4*m + 34 + 2, -m + 3*o + 9 = 0. What are the prime factors of 9/9 + (m - 0)?
2, 5
What are the prime factors of 150/(-60) + 1/(-2) - -318?
3, 5, 7
Suppose 3*b = -10 - 2. List the prime factors of 2574/24 - (-1)/b.
107
Suppose 7*t + 71 = 246. Suppose 2*h = 0, 0*y - 4*y = 2*h + 68. Let p = t + y. List the prime factors of p.
2
Let g = -3 - -8. What are the prime factors of (-2)/g + -4 + 1984/10?
2, 97
Suppose 0 = 5*a - 5*v + 15, -2*a - v + 6 = 15. Let t = a + 8. List the prime factors of (-45)/(-2) + 2/t.
23
Let d(j) be the second derivative of -j**5/20 - j**4/4 + 5*j**3/6 + 3*j. Suppose 0 = -q - 2*q - 15. List the prime factors of d(q).
5
Let v = -5 + 9. Let s be 20 - (-8 - -4)/v. What are the prime factors of 6/s + (-257)/(-7)?
37
Suppose 2*d - 110 = 136. Let f = d + -28. List the prime factors of f.
5, 19
Let v(y) = 134*y - 87. What are the prime factors of v(13)?
5, 331
Let o = 77 - 44. Let k = 38 - o. What are the prime factors of k?
5
Let w(g) = g**2 + 2*g. Let n(t) = -t**3 + 2*t**2 - 4*t + 3. Let v be n(2). Let o be w(v). Let j = o - 9. List the prime factors of j.
2, 3
Let t(y) be the third derivative of y**5/60 + y**4/12 - 14*y**3/3 + 12*y**2. What are the prime factors of t(7)?
5, 7
Let q(j) = 15*j - 1. Suppose -3*o = o - 4. Let t be q(o). Suppose -p + t = -16. What are the prime factors of p?
2, 3, 5
Suppose 0 = -4*t - 12*t - 3*t. Suppose -5*r - 3*i + t*i + 751 = 0, -4*r = 4*i - 596. What are the prime factors of r?
|
{
"pile_set_name": "DM Mathematics"
}
|
15
Let t = -1 + 5/4. Let u be 84/(-12) + (-1 - -9) - (-9)/(-12). Factor -u*x - t*x**2 + 0.
-x*(x + 1)/4
Let j = -94739/4368 + 282/13. Let d(f) be the third derivative of -5*f**2 + 0*f**4 - 1/105*f**7 + 0 + 0*f**3 + 0*f**5 + j*f**8 + 0*f + 1/120*f**6. Factor d(p).
p**3*(p - 1)**2
Suppose -74*s - 3 = -75*s. Let -4*y - 4*y**s - 18*y**4 - 25*y**3 - 4*y**5 - 18*y**2 + y**3 = 0. Calculate y.
-2, -1, -1/2, 0
Let v(k) be the third derivative of -1/224*k**8 + 1/16*k**4 + 0*k + 0*k**6 + 0*k**3 - 12*k**2 - 1/20*k**5 + 0 + 1/70*k**7. Factor v(s).
-3*s*(s - 1)**3*(s + 1)/2
Let j(a) be the third derivative of -a**7/315 + a**5/30 + a**4/18 + 20*a**2 - 4. Factor j(t).
-2*t*(t - 2)*(t + 1)**2/3
Factor 0 + 12/17*q**3 + 16/17*q**2 - 2/17*q**5 + 0*q**4 + 6/17*q.
-2*q*(q - 3)*(q + 1)**3/17
Let d = -5 - -14. Suppose -2*g + 15 = d. Determine j so that 3/5*j**4 - 3/5*j**5 + 9/5*j**3 + 6/5*j + 0 - g*j**2 = 0.
-2, 0, 1
Let x(h) be the second derivative of -h**7/21 + h**6/15 + h**5/2 - h**4/6 - 8*h**3/3 - 4*h**2 - h + 15. Determine f so that x(f) = 0.
-1, 2
Let x = -7389 - -7393. Suppose 3/2*j + 0*j**3 + 0 - 3/4*j**x + 9/4*j**2 = 0. Calculate j.
-1, 0, 2
Let w(h) be the first derivative of 3/5*h**3 + 0*h**2 + 0*h - 3/20*h**4 + 6. Find i, given that w(i) = 0.
0, 3
Let h = 5372 + -5370. Find y, given that -12/7*y + 1/7*y**h + 36/7 = 0.
6
Let b = -13 - -16. Suppose 0 = -4*y + 2*y - 2, -5 = -2*a - b*y. Solve -2*s**3 - 4*s**2 + a + 0 + 0*s**3 + 2*s = 0.
-2, -1, 1
Factor -148955/3*j - 5/3*j**4 + 0 - 155*j**3 - 4805*j**2.
-5*j*(j + 31)**3/3
Let a(h) be the third derivative of 5*h**8/504 + 67*h**7/945 + 101*h**6/540 + 19*h**5/90 + h**4/27 - 4*h**3/27 - 24*h**2 + h. Suppose a(f) = 0. What is f?
-2, -1, -2/3, 1/5
Let k = 2049/100 - 506/25. Let -t + k*t**2 + 1 = 0. What is t?
2
Let g(w) be the second derivative of 3*w**5/20 - 2*w**4 + 5*w**3/2 + 75*w**2 - 37*w. Factor g(q).
3*(q - 5)**2*(q + 2)
Let c(b) = b**2 + 6*b + 7. Let f be c(-5). Suppose 0 = 3*a + 5*y - 11, f*y - 4 = -4*a + 6*y. Find i, given that -6 - 4*i - 2/3*i**a = 0.
-3
Factor -21*t + 1744748 - 1744748 + 3*t**3 + 18*t**2.
3*t*(t - 1)*(t + 7)
Let h(u) be the second derivative of u**4/3 - 10*u**3/3 + 8*u**2 + 139*u. Find p such that h(p) = 0.
1, 4
Let t(l) be the second derivative of l**6/60 - l**5/8 + l**4/8 + 3*l**3/4 + 47*l - 1. Determine g so that t(g) = 0.
-1, 0, 3
Let p = -9/4 + 73/36. Let r = p - -5/9. Factor 2/3*i**3 + 2/3*i**2 - r*i**4 - 1/3*i**5 - 1/3*i - 1/3.
-(i - 1)**2*(i + 1)**3/3
Find l, given that -74/3*l**2 + 14/3*l**3 - 8 + 104/3*l = 0.
2/7, 2, 3
Factor 0 + 5/2*g**3 + 50*g - 105/2*g**2.
5*g*(g - 20)*(g - 1)/2
Let v(c) be the second derivative of -c**7/210 - c**6/120 + c**5/60 + c**4/24 - 5*c**2 + 13*c. Let o(x) be the first derivative of v(x). Factor o(m).
-m*(m - 1)*(m + 1)**2
Let l(n) = -16*n**2 + 34*n - 33. Let c(m) = -3*m**2 + 7*m - 6. Let z(g) = -22*c(g) + 4*l(g). Factor z(b).
2*b*(b - 9)
Let t(n) be the second derivative of -2*n**6/15 - 9*n**5/5 - 8*n**4 - 32*n**3/3 - n + 101. Let t(z) = 0. What is z?
-4, -1, 0
Let a(s) = 59*s**2 + 205*s + 60. Let g(y) be the third derivative of y**5/3 + 17*y**4/6 + 10*y**3/3 + 15*y**2. Let q(c) = 6*a(c) - 17*g(c). Factor q(i).
2*(i + 5)*(7*i + 2)
Factor 51/4 + 12*n - 3/4*n**2.
-3*(n - 17)*(n + 1)/4
Let o = 18 - -67. Suppose 4*x - o = 2*k - 19, 43 = 3*x + 5*k. What is a in -x*a**2 - 15*a**2 - 6 + 4*a**2 + 21*a - 3*a**4 + 15*a**3 = 0?
1, 2
Suppose -10*x + 12 = -6*x. Suppose 0 = x*d + 9, -2*j = -3*d - 13. Determine i, given that 6*i**3 + 10*i**4 + 0*i - 10*i**2 + j*i - 4*i**5 - 4*i**5 + 0*i = 0.
-1, 0, 1/4, 1
Factor 4/5*j**2 + 0 - 4/5*j**4 + 16/5*j**3 - 16/5*j.
-4*j*(j - 4)*(j - 1)*(j + 1)/5
Let p(b) be the second derivative of 37/90*b**5 + 1/189*b**7 - 10/9*b**4 + 0*b**2 + 0 - 2/27*b**6 - 28*b + 4/3*b**3. Solve p(l)
|
{
"pile_set_name": "DM Mathematics"
}
|
on.
-9000000
Round 79.89 to the nearest ten.
80
Round 701860 to the nearest 100000.
700000
Round 1.54685 to 1 dp.
1.5
Round -0.0019837 to four dps.
-0.002
Round 95258000 to the nearest one million.
95000000
What is -0.000003122 rounded to six decimal places?
-0.000003
What is 0.00022285 rounded to five decimal places?
0.00022
What is 4.464 rounded to zero dps?
4
Round 0.000020136 to six dps.
0.00002
What is 0.0000383 rounded to five decimal places?
0.00004
Round 6.342 to zero decimal places.
6
What is 25289 rounded to the nearest one hundred?
25300
What is 36540 rounded to the nearest 1000?
37000
Round -0.001572 to four decimal places.
-0.0016
What is -5.705 rounded to zero decimal places?
-6
Round 581.9 to the nearest ten.
580
What is 25325000 rounded to the nearest one million?
25000000
Round 50225000 to the nearest one hundred thousand.
50200000
What is -0.0018528 rounded to 4 decimal places?
-0.0019
Round -0.0000015374 to 6 decimal places.
-0.000002
Round -12.42 to zero decimal places.
-12
What is 0.0002648 rounded to five decimal places?
0.00026
What is -924500 rounded to the nearest 100000?
-900000
What is -0.291461 rounded to 3 dps?
-0.291
Round 0.000085572 to 6 dps.
0.000086
What is -0.00002065 rounded to six decimal places?
-0.000021
What is -83000000 rounded to the nearest 1000000?
-83000000
Round 982.8 to the nearest 10.
980
Round 0.0015699 to three decimal places.
0.002
Round -0.0012694 to 4 decimal places.
-0.0013
What is 3614 rounded to the nearest 100?
3600
Round 9.233 to one decimal place.
9.2
Round 17.822 to 1 decimal place.
17.8
What is 104 rounded to the nearest ten?
100
Round 0.8945 to 1 dp.
0.9
Round -22667000 to the nearest one hundred thousand.
-22700000
Round 0.016629 to 2 decimal places.
0.02
Round -279490 to the nearest 100000.
-300000
Round 246 to the nearest 100.
200
What is -4086 rounded to the nearest 100?
-4100
Round 0.0574 to two dps.
0.06
Round 25.78 to the nearest 10.
30
What is -0.000070827 rounded to six decimal places?
-0.000071
What is -0.0000061999 rounded to six decimal places?
-0.000006
Round 0.0722 to two dps.
0.07
What is -0.000082419 rounded to five decimal places?
-0.00008
What is -0.01683 rounded to two dps?
-0.02
What is 0.000006326 rounded to 6 dps?
0.000006
Round -4.5597 to two decimal places.
-4.56
What is 0.00010363 rounded to 6 dps?
0.000104
What is -1.03622 rounded to 1 decimal place?
-1
What is 1038 rounded to the nearest ten?
1040
Round -245100 to the nearest one hundred thousand.
-200000
What is 4517500 rounded to the nearest 100000?
4500000
Round 0.00003562 to five decimal places.
0.00004
What is 0.0000006917 rounded to 7 decimal places?
0.0000007
Round -359700 to the nearest 10000.
-360000
What is 1122.17 rounded to the nearest integer?
1122
Round -0.18654 to 3 decimal places.
-0.187
Round 90059 to the nearest ten thousand.
90000
What is 1812.6 rounded to the nearest ten?
1810
What is 0.00000107196 rounded to seven decimal places?
0.0000011
What is 36.35 rounded to the nearest integer?
36
Round -589800 to the nearest one hundred thousand.
-600000
Round -69.95 to the nearest integer.
-70
Round 872 to the nearest 100.
900
What is -0.00021093 rounded to 6 decimal places?
-0.000211
What is -26820000 rounded to the nearest 1000000?
-27000000
What is 0.41048 rounded to 3 dps?
0.41
Round -0.00004453 to 5 dps.
-0.00004
What is -84400 rounded to the nearest ten thousand?
-80000
What is 49400000 rounded to the nearest one million?
49000000
Round 0.00000175198 to 7 dps.
0.0000018
What is 4.496 rounded to zero dps?
4
What is 28.96 rounded to the nearest ten?
30
What is -0.00000035712 rounded to seven dps?
-0.0000004
Round -59.6 to the nearest ten.
-60
Round -0.00002231 to six decimal places.
-0.000022
What is 2.707 rounded to the nearest ten?
0
Round -158.738 to the nearest 10.
-160
What is -0.00001267 rounded to 7 dps?
-0.0000127
Round 0.000014699 to six decimal places.
0.000015
Round -0.094202 to 3 decimal places.
-0.094
Round -0.000172 to four decimal places.
-0.0002
Round 632 to the nearest 10.
630
What is 539900 rounded to the nearest 10000?
540000
What is -51700 rounded to the nearest 10000?
-50000
What is 98.24 rounded to 0 dps?
98
What is -0.05692 rounded to 3 dps?
-0.057
What is -12.11 rounded to the nearest integer?
-12
What is -0.040335 rounded to 4 dps?
-0.0403
What is -4.9288 rounded to 1 dp?
-4.9
What is 0.00032853 rounded to 5 dps?
0.00033
What is 0.0000301 rounded to five dps?
0.00003
What is 0.00046093 rounded to 6 dps?
0.000461
What is 2439.08 rounded to the nearest ten?
2440
What is 0.00000858 rounded to 7 decimal places?
0.0000086
Round -4687600 to the nearest ten thousand.
-4690000
What is 0.01398 rounded to three decimal places?
0.014
Round -0.001536 to 3 dps.
-0.002
Round -482800 to the nearest one hundred thousand.
-500000
What is 60.075 rounded to the nearest ten?
60
Round -32168.6 to the nearest one thousand.
-32000
Round 2.1143 to one decimal place.
2.1
What is -326.82 rounded to 0 decimal places?
-327
What is 81060 rounded to the nearest one thousand?
81000
What is -0.00153632 rounded to four dps?
-0.0015
Round 315480 to the nearest 10000.
320000
Round -65190000 to the nearest one million.
-65000000
What is -0.0012831 rounded to five dps?
-0.00128
Round -5900 to the nearest 1000.
-6000
What is 2942.2 rounded to the nearest 100?
2900
What is -0.0003479 rounded to 5 dps?
-0.00035
What is -0.000010683 rounded to seven dps?
-0.0000107
Round 36670000 to the nearest 1000000.
37000000
What is 0.0022684 rounded to 3 decimal places?
0.002
Round -0.019409 to four decimal places.
-0.0194
What is -0.018583 rounded to four dps?
-0.0186
What is 0.00000052641 rounded to seven decimal places?
0.0000005
What is 0.39372 rounded to 2 decimal places?
0.39
What is 0.001757 rounded to three decimal places?
0.002
Round -2766000 to the nearest one hundred thousand.
-2800000
What is -3.7016 rounded to 1 dp?
-3.7
Round 4.002 to one decimal place.
4
What is 0.00002021 rounded to 6 dps?
0.00002
What is -105.8 rounded to the nearest ten?
|
{
"pile_set_name": "DM Mathematics"
}
|
-26.8 - y. Which is bigger: r or -25?
r
Let c(v) = v**2 + 3*v - 3. Let f be c(4). Let a = 27 - f. Let x = 237 - 701/3. Is a > x?
False
Let j(f) = f**2 + f - 21. Let u be j(0). Let m = u - -24. Suppose 5 = m*l + 17. Are -4 and l non-equal?
False
Let s(w) = w**2 - 28*w - 61. Let m be s(30). Do 2/1265 and m have the same value?
False
Let y be (-2 - 0)*(2 + -3). Let k be (y + -5)*6/9. Let h be (1 + 0/k)*3. Is h > 3?
False
Suppose -3*r = 3*g + 75, 0 = -11*g + 8*g + r - 55. Is g < -16?
True
Suppose 60 = -4*d - 4*l, -22*d + 20*d = l + 33. Let g be 8/(16/(-35))*(-8)/(-10). Which is greater: d or g?
g
Let d(j) = j**3 - 11*j**2 - 3*j - 19. Let u be d(8). Let f be u/324 + (-6)/(-8). Which is smaller: 0 or f?
0
Let t = -125993 + 268239091/2129. Is -1 < t?
True
Let t = 11 - 13. Let c be t - (-1 - (-411)/(-405)). Is c at least as big as 1?
False
Let y be (0 + 19/1)/1. Suppose 19 = 2*i - y. Suppose 7 = -n + 5*p - 0*p, -2*n + 31 = -p. Which is greater: i or n?
i
Let l(b) be the third derivative of -b**5/60 - 5*b**4/24 + b**3/3 - 11*b**2. Let o be l(-5). Is 6/7 less than o?
True
Let a(n) = n + 4 - 6 - 3. Let g be a(8). Let b be (g/(-9))/(2/4). Is b equal to -3/7?
False
Suppose 7*b - 1093 = -225. Which is bigger: b or 123?
b
Let u = -18 + -4. Let m be (-4)/(-3) + u/3. Let n = -135/2 - -63. Is n < m?
False
Let g = -388 - -387.6. Which is greater: g or 2.3?
2.3
Suppose 0 = 31*b + 12348 - 1002. Is b < -367?
False
Let v = 4.4 + -98.4. Let w = v - -93. Do 4 and w have different values?
True
Let y be 1 - 0 - (1 + -4). Let c be (18/(-16))/((-1)/y). Let h = 335 + -334. Is c <= h?
False
Let n = -13 - -15. Suppose n*x + 47 = -13. Let v be (-2)/(-12) - 85/x. Is 3 at most v?
True
Let l be (-16)/(-30)*(-6)/(-4). Let x = 12.64 - 12.34. Is x less than or equal to l?
True
Let q be (-48)/(-32)*((-5)/3 + 1). Which is smaller: q or 5/33?
q
Let p = 0 + 4. Suppose -p*b - y = 2*y - 10, 4*b = 3*y + 22. Is b smaller than 4?
False
Let j(s) = -4*s - 303. Let y be j(21). Which is greater: -388 or y?
y
Let c = 6.7 - 3.6. Let x = 3.2 - c. Which is bigger: x or -19?
x
Let p = 325379/72 + -4519. Are p and 0 non-equal?
True
Let g be (-12718)/(-58)*(-1)/(-2). Let p = g + -219/2. Which is smaller: p or 0?
0
Let u = -302 + 306. Let q = 0 + -0.2. Is q less than u?
True
Let g = 12 - 14. Let o(u) = u + 1. Let t be o(-7). Which is smaller: t or g?
t
Suppose 200*q + 216 = 206*q. Is 32 < q?
True
Let j be ((-333)/27)/(2/48). Let v = 1472/5 + j. Are -1 and v equal?
False
Let h(l) = 21*l + 15. Let b be h(7). Let q = -1454/9 + b. Let a(p) = p**2 + 4*p - 4. Let u be a(-5). Which is greater: u or q?
u
Suppose -5*n + 13 = -7. Suppose 0 = -2*o + 4*u + 34, -o - u + 2 = -0. Suppose 0 = -r + 3*w - o, -n*w = -r - 0*w - 9. Which is bigger: r or 23?
23
Let m be (422/(-428) + 1)*(-18)/27. Are 1 and m non-equal?
True
Let p = -18371/780 - 23/156. Is -23 > p?
True
Let m(f) = 11*f - 177. Let d be m(12). Is d less than or equal to -46?
False
Let b be (-16)/(-8) + 10/2. Suppose 27 = y - 4*f, 2*y - b*y + 15 = 4*f. Is y <= 11/2?
False
Let k(u) = -u**2 - 13*u - 1. Let t(a) = -3*a - 1. Let w be t(4). Let s be k(w). Let j = -1/89 + -707/445. Is s at most as big as j?
False
Suppose 0 = -x - 4, 0 = 4*v - 2*v - 5*x + 72. Let w be (-1)/2*1 + (-69)/v. Which is smaller: -3/43 or w?
-3/43
Let l = -19/4 + 4. Let d = 43.9 + -42. Let h = -2.9 + d. Which is greater: h or l?
l
Let n(m) be the first derivative of m**5/120 + m**4/8 - m**3 - 2. Let t(s) be the third derivative of n(s). Let v be t(-3). Which is smaller: 2 or v?
v
Let a(w) = -11*w - 2. Let l be 168/54 + 1/(-9). Let v be a(l). Does v = -35?
True
Let f be (-11 - -6) + 105/(-195). Which is bigger: 2 or f?
2
Let y = 4 + -5. Let u = y - -8. Let d be (10/(-20))/((-5)/66). Is d bigger than u?
False
Let c(w) = -w**3 - 2*w**2 + 3. Let r be c(-3). Let h be (1/10)/(3/r). Suppose -4*f + 5*f + 4*s = 1, 3*f + s = 3. Is h at most as big as f?
True
Let j = 8 + 113. Let s = -124 + j. Which is greater: -12 or s?
s
Let v(o) = o**3 + 5*o**2 - 2*o - 1. Let a be v(-6). Let w = 0.231 - 0.031. Which is bigger: w or a?
w
Let q = 761 - 736. Is 14 less than or equal to q?
True
Let h be 2*((-3)/6 - -2). Suppose -h*m = -4*m + 2*k - 24, 5*k = m + 15. Which is smaller: -29 or m?
m
Let d = 473 + -485. Do d and -18 have the same value?
False
Let q = 34 + -33. Suppose -2*c - 38 = -2*w, 2*w - 37 = -0*w + c. Let r be q/((8/w)/(-4)). Which is smaller: -8 or r?
r
Suppose -5*s = 0, -15*l + 12*l + 24 = 5*s. Let c(p) = -p**2 + 9*p - 6. Let b be c(7
|
{
"pile_set_name": "DM Mathematics"
}
|
(g) = -324*g**2. Calculate -428*l(k) + 3*v(k).
-321*k**2
Let x(n) = -9*n**2 - 11*n - 5. Let w = -177 - -172. Suppose 0 = 5*r + 6*a - 2*a - 36, 3*a = r - 11. Let i(z) = -14*z**2 - 17*z - 8. Calculate r*x(y) + w*i(y).
-2*y**2 - 3*y
Suppose 5*d = 3*q + 37, 2*q - 3*q + 3*d = 19. Let k(j) = 12*j. Let b(g) = 3*g. Give q*k(n) + 18*b(n).
6*n
Let a(l) = -10*l**3 + 6*l**2 + 12*l + 5. Let t(k) = -11*k**3 + 5*k**2 + 10*k + 3. What is -5*a(h) + 6*t(h)?
-16*h**3 - 7
Let a(x) = -10*x**3 - 12*x**2 + 13*x + 14. Let v(t) = 7*t**3 + 8*t**2 - 9*t - 10. What is -5*a(q) - 7*v(q)?
q**3 + 4*q**2 - 2*q
Let p(b) = 2*b + 5*b - 5 - b - 4*b. Let c(k) = -k + 1. Suppose 6 = 2*n + t - 6, 5*n = 3*t + 8. Let x be 4/14 - (-1)/(42/30). What is n*c(l) + x*p(l)?
-2*l - 1
Let t(k) = 142*k**3 + 6*k**2 - 6*k. Let o(n) = 2*n**3 - n**2 + n. Determine -6*o(x) - t(x).
-154*x**3
Let z(t) = 3*t**3 - 3*t**2. Suppose -130*g + 10 = -135*g. Let p(k) = 15*k**3 - 16*k**2. Calculate g*p(m) + 11*z(m).
3*m**3 - m**2
Let w(r) = 2*r**3 - r - 2. Let n be 0/(1 - 2) - (-50 - -56). Let c(y) = 2*y**3 - 2*y - 2. Determine n*c(s) + 7*w(s).
2*s**3 + 5*s - 2
Let j(g) = 2*g**2 - g - 1. Let a(d) = -3*d**2 - d + 3. Let o(p) = a(p) + 3*j(p). Let t(r) = -6*r**2 + 9*r. Calculate 5*o(q) + 2*t(q).
3*q**2 - 2*q
Let l(j) = -3*j**2 + 5*j + 17. Let p(x) = -2*x**2 + 3*x + 9. Let d = -1098 + 1093. What is d*p(s) + 3*l(s)?
s**2 + 6
Suppose 0 = c + 4*w + 25, -5*c - 2*w = 13 + 22. Let g(t) = -6*t + 6. Let k(o) = -5 + 2*o - 3*o + 6*o. Give c*k(a) - 4*g(a).
-a + 1
Let g(o) = o**3 + o**2 + 2*o. Let n(j) = 36*j**3 - 5*j**2 - 6*j. Calculate 4*g(c) + n(c).
40*c**3 - c**2 + 2*c
Let i = -220 + 214. Let w(a) = -3*a - 2. Let k(j) = 35*j + 25. Calculate i*k(p) - 75*w(p).
15*p
Let n(o) = o**3 - 6*o**2 + 7*o - 5. Let k(x) = -215 + 111 + 11*x - 9*x**2 + 96 + 2*x**3. Let c = -3 + 8. Let g be -3 + 1 + (-18)/3. What is c*k(u) + g*n(u)?
2*u**3 + 3*u**2 - u
Let d(s) = -s**2 + 2*s + 9. Let u(l) = 3*l**2 + 13*l + 26. Let k(t) = t**2 + 6*t + 13. Let h(y) = 7*k(y) - 3*u(y). Give -7*d(x) + 5*h(x).
-3*x**2 + x + 2
Let o(h) = -h**2 + h + 7. Let g(s) be the third derivative of -s**4/24 - s**3 + 2*s**2. Give 4*g(y) + 3*o(y).
-3*y**2 - y - 3
Let c(t) = -6*t**2 - 26*t + 99. Let z(i) = i**2 + 5*i - 20. Calculate -2*c(y) - 11*z(y).
y**2 - 3*y + 22
Let m(u) = -19*u**3 - 5*u**2 - 5*u + 5. Let b(s) = -s**3 - 2*s**2 - s. Let c(n) = 5*b(n) - m(n). Let y(q) = 27*q**3 - 9*q**2 - 9. Determine -9*c(w) + 5*y(w).
9*w**3
Let z be (8/(-3))/(11/33). Let h be 7 + -9 + (-1 - z). Let c(f) = 4*f + 8. Let j(o) = 3*o + 7. What is h*c(w) - 6*j(w)?
2*w - 2
Let k(w) = -2*w**2 + 4. Suppose 0 = -4*f, -7 = -2*p + 3*f + 87. Let c(a) = -27*a**2 + p*a**2 + 21 - 30*a**2. What is -2*c(n) + 11*k(n)?
-2*n**2 + 2
Let m(o) = 3*o**3 + 5*o**2 + 4*o + 4. Let n(a) = -2*a**3 + a + 1. Determine m(u) - 4*n(u).
11*u**3 + 5*u**2
Suppose -y = -3*m + 4 - 18, 5*y = -3*m - 2. Let s(g) = -5 + 1 + 7 - y + g. Let w(j) = -6*j - 4. Determine 3*s(q) + w(q).
-3*q - 1
Let d(k) = 6*k**3 - k**2 - 2*k + 1. Let f(s) = 12*s**3 - 2*s**2 - 5*s + 3. What is -7*d(j) + 3*f(j)?
-6*j**3 + j**2 - j + 2
Let g(b) be the third derivative of -b**3/3 - b**2. Let n = 402 + -406. Let t(s) = -s - 2. Calculate n*g(a) + 3*t(a).
-3*a + 2
Let r(u) = -14*u**2 - 22*u + 6. Let g(s) = 4*s**2 + 7*s - 2. Give 13*g(x) + 4*r(x).
-4*x**2 + 3*x - 2
Let s(z) = 3*z - 7522 + 7528 - 13*z**2 - 3*z. Let a(c) = 25*c**2 - 11. Determine 6*a(f) + 11*s(f).
7*f**2
Let f(c) = -42*c - 49. Let h(p) = 19*p + 25. Give 2*f(q) + 5*h
|
{
"pile_set_name": "DM Mathematics"
}
|
n 7 is divided by s.
3
Suppose 0 = -5*j + 2*j + 39. Calculate the remainder when 258 is divided by j.
11
Let o(t) = t**3 - 7*t**2 + 4. Suppose -x - 4*a + 15 + 4 = 0, 0 = -5*x - 3*a + 44. Calculate the remainder when 15 is divided by o(x).
3
Let m be ((-32)/20)/(2/35). Let z be (4/8)/(2/m). What is the remainder when 47 is divided by (-2)/z - 220/(-14)?
15
Suppose -3*u + 7*u = 16. Calculate the remainder when 15 is divided by u.
3
Suppose -5*q - 5*p - 250 = -3*p, 5*q = -5*p - 265. What is the remainder when 11 is divided by 10/(-4)*q/20?
5
Suppose 0 = -2*k - 5*y + 54, 2*k - 7*k + 4*y + 135 = 0. Suppose 3*i - 86 = -41. What is the remainder when k is divided by i?
12
Suppose k - 2*t = 37, -3*k + 18 = 2*t - 85. What is the remainder when 68 is divided by k?
33
Suppose 3*m - 42 - 6 = 0. What is the remainder when 30 is divided by m?
14
Let f(z) be the second derivative of -z**4/12 + 7*z**3/3 + 7*z**2/2 - 2*z. Suppose 12 = -2*p + 3*p. What is the remainder when f(10) is divided by p?
11
Let t = -30 - -35. Calculate the remainder when 13 is divided by t.
3
Suppose 2*w = 4*w + 8. Let u = 23 + w. What is the remainder when 35 is divided by u?
16
Let l(v) = v**2 - 5*v + 8. What is the remainder when 30 is divided by l(5)?
6
Suppose 0 = -3*x - 4*s + 174, -3*s + 285 = 5*x + 2*s. What is the remainder when x is divided by 28?
26
Suppose -w + 4*k + 33 = 0, -2*w = 2*w + 2*k - 60. Suppose 0*v + 6 = v. What is the remainder when w is divided by v?
5
Let z be (0 + -2 - 0) + 0. Let q = z + 8. What is the remainder when 10 is divided by q?
4
Suppose 4*d + 12 - 36 = 0. Suppose -86 = -4*m - u + 2*u, -m + 28 = 3*u. Calculate the remainder when m is divided by d.
4
Let c(k) = -k**2 - 16*k + 26. Calculate the remainder when c(-13) is divided by 17.
14
Suppose -7*d = -0*d - 294. Suppose -4*j + 3*y + 2*y + 69 = 0, 2*j - 2*y = 32. Calculate the remainder when d is divided by j.
9
Suppose -2*l = 2, 4*u - 3*l + 4*l = 15. Suppose -u*z + 6*z - 66 = 0. Calculate the remainder when z is divided by 9.
6
Let k(y) = y**3 - 8*y**2 - 9*y + 13. Let p(f) = f**2 - 5*f + 3. Let n be p(6). What is the remainder when 25 is divided by k(n)?
12
Let h = 40 - -3. Calculate the remainder when h is divided by 11.
10
Let m(d) = 3*d**2 + d. Let w be m(-2). Suppose w = 3*a + 1. Suppose 2*j - a - 1 = 0. Calculate the remainder when j is divided by 1.
0
Calculate the remainder when (-93)/(-5) - (-54)/(-90) is divided by 12 - (2 + 0/(-3)).
8
Let c = 40 - 20. Suppose 3*g = -d - 12 + 27, -4*g + 2*d + 20 = 0. Suppose -g*s = -120 - 170. What is the remainder when s is divided by c?
18
Suppose 119 = 5*g + 2*n, 2*g + 0*g - 5*n = 65. Calculate the remainder when g is divided by 5.
0
Suppose 3*s = -5*v - 79, -2*s = 3*s + 2*v + 100. Let p = -7 - s. Let r = 11 + p. Calculate the remainder when r is divided by 8.
6
Suppose 0*v + 2 = 4*v + 5*i, 4*i - 8 = 0. Let d(y) = -7*y - 2. Let f(b) = 2*b**2 + 37*b + 74. What is the remainder when f(-17) is divided by d(v)?
11
Calculate the remainder when 77 is divided by 1 - 5/3 - 450/(-27).
13
Let k = -4 - -10. Calculate the remainder when 22 is divided by k.
4
Let a = 4 - 1. Let k = -2 + 7. Suppose -n + 0 = 3, n = -4*y + k. Calculate the remainder when a is divided by y.
1
Let a = 2 + -2. What is the remainder when 21/(-63) + 1 + 25/3 is divided by -1*(10 - a)/(-2)?
4
Suppose -3*s + 8 = -91. Calculate the remainder when 62 is divided by s.
29
Suppose 2*q - 45 = -3*q. Calculate the remainder when 102/4 - (-3)/6 is divided by q.
8
Suppose 37 = 3*a + 2*r - 7*r, -4*r = -a + 17. Suppose 5*c - 86 = 2*x, -4*c - x = x - 58. Calculate the remainder when c is divided by a.
7
Suppose 9*c - 561 - 51 = 0. What is the remainder when c is divided by 23?
22
Let j = 0 - -11. Suppose -4*n - j + 43 = 0. What is the remainder when n is divided by (-2)/8 - 13/(-4)?
2
Let m(f) = 4*f + 3. Calculate the remainder when m(8) is divided by 20.
15
Let l be 9 + -1 - (1 + -4). Let j = l - 1. Suppose 3*k = 2*x - j - 46, -2*k = -5*x + 118. Calculate the remainder when x is divided by 6.
4
Let v(m) = -m + 9. Suppose -5*c + 179 = 5*j - 3*c, -c = -j + 40. What is the remainder when j is divided by v(-4)?
11
Let b(h) = h**3 + 9*h**2 + 6*h + 4. Calculate the remainder when b(-8) is divided by 7.
6
Let v(o) = -o**3 + 5*o**2 + 6*o + 7. Let z be v(6). Let f = z + -3. What is the remainder when ((-28)/10)/(2/(-10)) is divided by f?
2
Let g(v) be the third derivative of -v**6/120 + 3*v**5/20 - v**4/3 + v**3/6 - 2*v**2. What is the remainder when 1 is divided by g(8)?
0
Suppose 4*l + 2*i - 2 = 0, 17 = -l - 7*i + 3*i. Suppose 6 = j - l. Calculate the remainder when 24 is divided by j.
6
Let y(v) = v**2 - 5*v - 3. Let t(i) = i + 9. Calculate the remainder when y(-5) is divided by t(7).
15
Suppose -5*d - 5*x = -35, -3*d = -4*x + 2*x - 41. What is the remainder when (-5)/(84/(-16) + 5) is divided by d?
9
Calculate the remainder when -5*2*52/(-8) is divided by 17.
14
Suppose 0 = -3*t - 2*h + 26, 0*h - 4*h = -4*t + 48. What is the remainder when 28 is divided by t?
8
Let p(c) be the first derivative of c**3 + c**2 + 4*c + 4. What is the remainder when p(-3) is divided by 14?
11
Suppose 4 = 5*r - 6. What is the remainder when 26
|
{
"pile_set_name": "DM Mathematics"
}
|
ing 3 y.
4/5
Two letters picked without replacement from ooofooofoooofoooofof. What is prob of picking 1 f and 1 o?
15/38
Four letters picked without replacement from {f: 7, u: 2, h: 11}. What is prob of picking 1 h, 1 f, and 2 u?
77/4845
What is prob of picking 3 o when three letters picked without replacement from {n: 3, o: 6, i: 4}?
10/143
Calculate prob of picking 2 t, 1 o, and 1 n when four letters picked without replacement from oonnonnonnotonnnnnto.
77/4845
Three letters picked without replacement from wwoiwwotowoowwwoo. Give prob of picking 2 w and 1 t.
7/170
Calculate prob of picking 2 q and 1 g when three letters picked without replacement from {f: 1, q: 6, l: 2, u: 3, g: 1}.
15/286
Calculate prob of picking 1 y and 1 s when two letters picked without replacement from yaaamymasawtsamam.
1/34
Three letters picked without replacement from vhvhuvhkhqvhvlkvkkqk. What is prob of picking 1 l and 2 q?
1/1140
Three letters picked without replacement from ffbfbbfbtff. What is prob of picking 1 t, 1 b, and 1 f?
8/55
What is prob of picking 1 z and 1 d when two letters picked without replacement from {z: 1, m: 6, t: 1, w: 11, d: 1}?
1/190
Two letters picked without replacement from {f: 2, y: 7, b: 4}. Give prob of picking 2 f.
1/78
Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {s: 1, c: 3, o: 6, v: 4}.
24/91
Calculate prob of picking 1 i and 1 n when two letters picked without replacement from einieeqqqe.
2/45
Three letters picked without replacement from {f: 3, b: 2, z: 1, m: 1, k: 4}. What is prob of picking 1 f, 1 m, and 1 k?
4/55
Calculate prob of picking 1 y and 1 n when two letters picked without replacement from nynyznzynnnyynnyn.
27/68
Two letters picked without replacement from {s: 2, p: 1, a: 1, g: 1, x: 1, c: 2}. Give prob of picking 1 p and 1 a.
1/28
What is prob of picking 1 g and 1 m when two letters picked without replacement from {m: 1, d: 2, q: 1, g: 2, p: 2}?
1/14
Three letters picked without replacement from nsnx. Give prob of picking 1 x, 1 s, and 1 n.
1/2
What is prob of picking 1 q, 1 h, and 1 m when three letters picked without replacement from cccmceqecmmccmecquhm?
1/114
Two letters picked without replacement from pdodpdddpdpdd. What is prob of picking 1 o and 1 d?
4/39
Three letters picked without replacement from ooh. What is prob of picking 3 h?
0
Two letters picked without replacement from qhf. Give prob of picking 1 f and 1 q.
1/3
Two letters picked without replacement from {x: 9, a: 3}. What is prob of picking 2 x?
6/11
Calculate prob of picking 2 b, 1 w, and 1 a when four letters picked without replacement from {b: 4, a: 1, x: 2, w: 2}.
2/21
Four letters picked without replacement from bbabbbtmmttbbm. What is prob of picking 1 t, 2 m, and 1 b?
9/143
Four letters picked without replacement from fsssscfsfsffs. Give prob of picking 4 f.
1/143
Calculate prob of picking 2 c when two letters picked without replacement from xccnnffxxxncfnccxfx.
10/171
What is prob of picking 3 s when three letters picked without replacement from {s: 3}?
1
What is prob of picking 2 a when two letters picked without replacement from {a: 6, i: 1, m: 6, b: 5, y: 1}?
5/57
Calculate prob of picking 2 d when two letters picked without replacement from ddq.
1/3
Calculate prob of picking 1 z and 1 k when two letters picked without replacement from lzaaazzfzakalzz.
2/35
Calculate prob of picking 4 a when four letters picked without replacement from {s: 3, a: 4}.
1/35
Two letters picked without replacement from {s: 3, y: 2, a: 1, v: 5, x: 6, b: 2}. Give prob of picking 1 b and 1 y.
4/171
Four letters picked without replacement from {e: 17, i: 1}. Give prob of picking 1 i and 3 e.
2/9
Three letters picked without replacement from {t: 3, f: 4, x: 3, e: 3}. What is prob of picking 2 f and 1 t?
9/143
Two letters picked without replacement from {f: 6, r: 1, a: 9, z: 2}. Give prob of picking 1 z and 1 f.
4/51
What is prob of picking 1 g and 1 t when two letters picked without replacement from fbtbfbrfftpgfrbbffrr?
1/95
What is prob of picking 1 x and 1 g when two letters picked without replacement from gkgkkogoxc?
1/15
Three letters picked without replacement from llllllllllllllllxlll. Give prob of picking 3 l.
17/20
What is prob of picking 2 q when two letters picked without replacement from {q: 2, t: 11}?
1/78
Calculate prob of picking 2 u when two letters picked without replacement from fhfffuhhuhh.
1/55
Calculate prob of picking 2 a when two letters picked without replacement from ahaaaaahaaa.
36/55
What is prob of picking 2 c and 1 s when three letters picked without replacement from {z: 4, s: 1, c: 5, v: 1}?
2/33
Four letters picked without replacement from {k: 6, n: 9, q: 4}. Give prob of picking 4 q.
1/3876
Calculate prob of picking 2 a and 2 s when four letters picked without replacement from {s: 7, a: 3}.
3/10
Two letters picked without replacement from {j: 2, x: 8, o: 1, h: 7, k: 1}. Give prob of picking 1 k and 1 o.
1/171
Three letters picked without replacement from {m: 8, i: 1, w: 2, v: 7}. What is prob of picking 2 w and 1 i?
1/816
Four letters picked without replacement from {e: 1, p: 1, t: 1, k: 1, a: 1}. Give prob of picking 1 p, 1 t, 1 k, and 1 e.
1/5
Three letters picked without replacement from {k: 6, w: 2, f: 1, m: 2, b: 3}. Give prob of picking 1 f, 1 m, and 1 w.
1/91
Three letters picked without replacement from wdwkksk. Give prob of picking 2 k and 1 d.
3/35
Calculate prob of picking 4 t when four letters picked without replacement from tttttjtttjj.
7/33
Three letters picked without replacement from cvvhykcyocov. Give prob of picking 1 h and 2 v.
3/220
Four letters picked without replacement from ggggatgewgggggag. What is prob of picking 1 a and 3 g?
33/182
Three letters picked without replacement from {g: 2, a: 6, e: 1, l: 4, s: 3, f: 4}. Give prob of picking 2 a and 1 s.
3/76
Calculate prob of picking 3 m and 1 d when four letters picked without replacement from {d: 4, m: 10}.
480/1001
Three letters picked without replacement from htaa. What is prob of picking 2 a and 1 t?
1/4
Two letters picked without replacement from jjjijxdiijjxjjij. What is prob of picking 2 j?
3/10
What is prob of picking 1 j, 1 y, and 1 p when three letters picked without replacement from {p: 3, j: 1, r: 1, v: 5, g: 5, y: 3}?
3/272
What is prob of picking 2 a when two letters picked without replacement from asbszzbbgubass?
1/91
Two letters picked without replacement from {e: 1, n: 1, a: 3, h: 4, v: 2, y: 1}. Give prob of picking 1 v and 1 h.
4/33
Calculate prob of picking 3 z
|
{
"pile_set_name": "DM Mathematics"
}
|
he common denominator of 157/191724 and 16/11.
2108964
Calculate the least common multiple of 73866 and 12.
147732
Calculate the common denominator of 97/50040 and -2/121.
6054840
Find the common denominator of 107/354348 and 57/1544.
708696
What is the least common multiple of 128 and 654416?
5235328
What is the common denominator of -55/170672 and 119/512016?
512016
Calculate the common denominator of 191/34980 and 127/46640.
139920
Calculate the common denominator of 75/2 and 73/25764.
25764
What is the common denominator of 121/57738 and 73/450?
4330350
Calculate the lowest common multiple of 1680 and 35.
1680
What is the smallest common multiple of 954180 and 1539?
954180
Calculate the lowest common multiple of 1511242 and 636.
9067452
Calculate the common denominator of 11/65 and -34/60705.
789165
Calculate the smallest common multiple of 763700 and 4.
763700
What is the lowest common multiple of 508002 and 41349?
3556014
What is the smallest common multiple of 17664 and 46368?
370944
Calculate the lowest common multiple of 6435 and 122265.
122265
Find the common denominator of -1/11 and 4/9517.
104687
What is the common denominator of -89/12 and -87/237436?
712308
Calculate the common denominator of 1/12 and -71/33503306.
201019836
What is the smallest common multiple of 36128 and 63224?
252896
Calculate the common denominator of 131/51018 and -127/120588.
1326468
What is the common denominator of 36/53 and 89/41616?
2205648
Calculate the common denominator of 9/3262 and 79/3376.
5506256
What is the lowest common multiple of 1420 and 286?
203060
Calculate the smallest common multiple of 37455 and 18.
224730
Calculate the smallest common multiple of 720016 and 392736.
4320096
Calculate the common denominator of -40/1053 and -71/3159.
3159
Calculate the common denominator of -39/76694 and 3/4948.
153388
What is the smallest common multiple of 135 and 15930?
15930
What is the smallest common multiple of 102776 and 102776?
102776
Calculate the smallest common multiple of 1760 and 1210.
19360
What is the common denominator of 95/95232 and 67/37696?
1809408
Calculate the common denominator of -51/322 and -75/10276.
236348
Calculate the least common multiple of 2079 and 8778.
79002
What is the common denominator of 83/6 and -199/2442180?
2442180
Calculate the smallest common multiple of 739206 and 22815.
3696030
What is the lowest common multiple of 136286 and 747?
1226574
Find the common denominator of 149/50160 and -95/8.
50160
What is the common denominator of 9/58588 and -11?
58588
What is the common denominator of -25/112 and -75/586?
32816
Calculate the lowest common multiple of 11024 and 2968.
77168
Calculate the smallest common multiple of 384165 and 640275.
1920825
What is the least common multiple of 1344 and 2688?
2688
Calculate the smallest common multiple of 85008 and 44528.
935088
Calculate the lowest common multiple of 1006264 and 14.
1006264
Calculate the lowest common multiple of 270 and 11052.
165780
What is the lowest common multiple of 431688 and 14?
3021816
Calculate the smallest common multiple of 169245 and 665697.
9985455
What is the common denominator of 9/544 and -137/16320?
16320
Calculate the common denominator of -93/128 and -37/4096.
4096
Calculate the common denominator of 29/14 and -25/36296.
254072
What is the smallest common multiple of 7760 and 18430?
147440
What is the common denominator of -41/10508 and 5/12?
31524
What is the common denominator of -47/156 and -49/57072?
741936
Find the common denominator of 69/44 and -137/233136.
2564496
What is the common denominator of 57/524 and -73/912808?
912808
What is the common denominator of 83/13902 and -31/7944?
55608
Find the common denominator of 79/3196 and -39/268.
214132
Find the common denominator of 13/62548 and 113/14814.
562932
Calculate the least common multiple of 3295276 and 14.
23066932
Calculate the least common multiple of 113310 and 37770.
113310
What is the least common multiple of 36 and 13425?
161100
Find the common denominator of 40/8137 and 7/3.
24411
What is the smallest common multiple of 1120 and 184?
25760
Calculate the common denominator of 31/23200 and 71/125280.
626400
What is the common denominator of 67/4312 and -131/86240?
86240
Calculate the smallest common multiple of 169518 and 29740.
1695180
What is the lowest common multiple of 1782 and 27918?
83754
What is the least common multiple of 728904 and 820017?
6560136
Calculate the common denominator of 41/8316 and -119/4644.
357588
Calculate the least common multiple of 672 and 2592.
18144
Find the common denominator of 82/45 and 29/25380.
25380
Calculate the smallest common multiple of 7038 and 506.
77418
Calculate the smallest common multiple of 9718 and 13.
126334
What is the common denominator of -12/50545 and -25/86386?
4751230
Calculate the smallest common multiple of 31280 and 1282480.
1282480
Find the common denominator of 133/768 and 59/45888.
183552
What is the lowest common multiple of 12908 and 1266?
8170764
What is the lowest common multiple of 828 and 43056?
43056
What is the common denominator of 211/926640 and 109/20592?
926640
Calculate the smallest common multiple of 15 and 66867.
334335
Calculate the lowest common multiple of 21784 and 435.
9476040
Calculate the least common multiple of 164170 and 65668.
328340
Calculate the common denominator of 3/860 and 23/8600.
8600
Calculate the common denominator of -44/11487 and -24/77.
126357
What is the common denominator of 46/56433 and 71/15?
282165
Calculate the common denominator of 9/37 and -59/458.
16946
What is the least common multiple of 261960 and 52392?
261960
Calculate the smallest common multiple of 322770 and 90.
968310
Find the common denominator of -61/172620 and 61/9864.
345240
What is the common denominator of 31/192 and -67/5736?
45888
Find the common denominator of 97/1016 and 5/18796.
37592
Find the common denominator of -29/283650 and -58/425475.
850950
What is the least common multiple of 7080 and 2715?
1281480
Calculate the least common multiple of 416 and 687296.
8934848
Calculate the common denominator of 137/701316 and 103/24.
1402632
Calculate the common denominator of -115/324 and -169/161028.
161028
What is the lowest common multiple of 4 and 148816?
148816
What is the lowest common multiple of 9310 and 1995?
27930
What is the common denominator of 73/17248 and 117/400?
431200
What is the smallest common multiple of 230 and 2500?
57500
Find the common denominator of -47/17 and 53/116603.
116603
What is the smallest common multiple of 23712 and 228?
23712
What is the smallest common multiple of 30580 and 50?
152900
Calculate the least common multiple of 91462 and 188.
182924
What is the least common multiple of 305983 and 697?
305983
Find the common denominator of -83/391680 and 11/97920.
391680
Calculate the common denominator of 21/32 and -73/33968.
67936
Find the common denominator of 32/3381 and -29/1087716
|
{
"pile_set_name": "DM Mathematics"
}
|
27. Let g(f) = 4*q(f) + 11*u(f). What is the hundreds digit of g(12)?
1
Let o(v) be the third derivative of 11*v**5/10 + v**4 + 23*v**3 + 3*v**2 - 36*v. What is the thousands digit of o(-5)?
1
Let r = 24366 + -13341. What is the hundreds digit of r?
0
Let m = -596 + 596. Suppose m = 7*r - 4258 - 1118. What is the tens digit of r?
6
Let w = -689 - -4753. What is the units digit of w?
4
Suppose b - 545 = -0*b. Suppose -5*h - 5*f - b = 0, -3*f = -4*h - 2*f - 431. What is the tens digit of 2/(-18) + (-7464)/h?
6
Suppose 3908 = 5*g - 4*y, 5*y + 516 = g - 253. Let z = g - 440. Suppose -14*r + 10*r = -z. What is the tens digit of r?
8
Suppose 0 = 22*w - 19*w - 123. Suppose 84 + w = 5*d. Suppose d*b - 21*b - 388 = 0. What is the tens digit of b?
9
Let v(r) = 2*r**2 + 26*r - 26. Let x be v(-14). Suppose 5*a = -x*f + 1225, -f = -186 + 181. What is the tens digit of a?
4
Let c(k) = 550*k - 26. Let x be c(2). Suppose -x = -a + 55*w - 51*w, -2*a + 2196 = 4*w. What is the hundreds digit of a?
0
Suppose 8 = 2*v - 74. Suppose -5*w + 3*l = -3*w - v, -5*w = -4*l - 92. What is the units digit of w + 0 + 4 + -3?
7
Suppose -9*t = -19*t + 11350. Let m = t - 684. What is the tens digit of m?
5
Let d(m) = -7732*m + 51. What is the tens digit of d(-1)?
8
Suppose 2*z - 5*s - 35 = 0, -2*s = 7 + 3. Suppose 0 = -z*w + 908 - 103. Let k = w + -72. What is the tens digit of k?
8
Suppose 6*l + 0*l = 48. Let a be 38*2 + l/4. Suppose -5*v - 4*c + 137 = 0, -4*v + 7*v - a = -c. What is the units digit of v?
5
Let g = -5476 - -8235. What is the thousands digit of g?
2
Let g = 157 + -90. Let u = 190 - g. What is the units digit of u?
3
Let t = -1 + -11. Let i = t + 29. Let r = 104 - i. What is the units digit of r?
7
Suppose 152*k - 4*a + 74114 = 155*k, a = -k + 24704. What is the thousands digit of k?
4
Suppose -t - h + 4810 = 0, -68*t + h + 14430 = -65*t. What is the thousands digit of t?
4
Let x(f) = 104*f + 380. What is the tens digit of x(101)?
8
Let u(h) = 18*h**2 + 6*h + 14. Suppose -19 = 2*k - 11. What is the units digit of u(k)?
8
Let n = -823 - -915. Let q be (-466)/(-3)*9/6. Suppose 13*f - q = n. What is the tens digit of f?
2
Let w(l) = 10*l**2 - 22*l + 232. What is the thousands digit of w(-33)?
1
What is the hundreds digit of ((-12)/(-21))/1 + (-296703)/(-231)?
2
Let r(k) = 197*k + 2051. What is the tens digit of r(41)?
2
Suppose -4*d - 44 = 156. What is the units digit of 352 - (d/15 - (-16)/12)?
4
Let u(b) = 7*b**3 + 18*b**2 - 4*b - 11. Let w be u(5). Suppose -4*i - r + 2588 = 0, -w = -2*i - 5*r + 9*r. What is the tens digit of i?
4
Let v(j) = j. Suppose u = -3*a - 11, 21 = -0*u + u - 5*a. Let l(s) = 40*s - 16. Let b(q) = u*l(q) - 4*v(q). What is the tens digit of b(3)?
9
Let i be (-1 - -7) + 3/(-1). Suppose 14*f = -i*f + 17204. Suppose -4*v - 3*a + f = 293, -2*v + a = -367. What is the hundreds digit of v?
1
Let l = -150 + 11. Let f = -125 - l. What is the tens digit of f?
1
Let q(x) = x**3 - x**2 - x - 4. Let t be q(0). Let k be t/6*3 + (3 - -38). Let l = k - -14. What is the tens digit of l?
5
Let m(o) = 3438*o - 2519. What is the thousands digit of m(4)?
1
Suppose -526768 = -38*g - 51917 + 222715. What is the ten thousands digit of g?
1
Suppose 123*s - 6209456 = 872761. What is the hundreds digit of s?
5
Suppose 29*b - 22*b = 21. Suppose k - 30 = -3*m + 84, -3*k = -b*m - 318. What is the hundreds digit of k?
1
Let l(u) = -25*u + 164. What is the hundreds digit of l(-13)?
4
Let c(i) = -42*i**2 + 3*i - 11. Let n be c(-7). Let a = -1111 - n. What is the tens digit of a?
7
Suppose -2 = -98*y + 97*y. Suppose r + r + 2*v - 8 = 0, -11 = -3*r - y*v. Suppose r*w - 190 - 179 = 0. What is the tens digit of w?
2
Suppose -10*j - 18339 = -66349. What is the units digit of j?
1
Let s be (-306)/(-24) - 35/(-28). Suppose -3976 = 6*i - s*i. What is the units digit of i?
7
Suppose -42*a + 47*a - x - 153930 = 0, -153930 = -5*a - x. What is the tens digit of a?
8
Suppose 5*d = 17*d + 2436. Let b = -95 - d. What is the hundreds digit of b?
1
Let n(l) = l**2 + 38*l + 113. Let i be n(-35). Suppose -i*m = 460 - 3700. What is the hundreds digit of m?
4
Let t = 4 + 1. What is the tens digit of 145*(t - 4) - -4?
4
Let l be (32/(-24))/(2/(-33)). What is the units digit of (-4)/l + ((-190236)/(-132) - 1)?
0
Let q(m) be the third derivative of m**4/4 - 17*m**3/6 - 16*m**2. Let b be q(4). Suppose -b*g + 347 = 109. What is the tens digit of g?
3
Let v(o) = 3921*o**3 - 6*o**2 - 7*o + 8. What is the ten thousands digit of v(2)?
3
What is the tens digit of (174/30 - 6) + ((-1286688)/(-40) - -6)?
7
Let p(c) be the third derivative of 9*c**5/20 - c**4/6 - 16*c**3/3 - 46*c**2. What is the tens digit of p(-4)?
1
Suppose 5 = -r + 5*i + 110, -3*r + 4*i = -326. Let u = -7 + r. What is the units digit of u?
3
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the smallest value in 6, 31/5, 60, -3/2, -3, -655?
-655
What is the third smallest value in 0.02, 491033, 0.44?
491033
What is the fourth biggest value in -29, -4, 0.83, 3, 3/134?
-4
What is the fourth biggest value in -5/13, 4, 2/5, 1, -24, -67, -0.1?
-0.1
Which is the smallest value? (a) 219986 (b) -7 (c) -0.005
b
Which is the fourth biggest value? (a) 654/17 (b) -121 (c) 0.2 (d) 0.5 (e) -1/4
e
What is the biggest value in 1, -5, -2/5, 6212, 5, 0.1, -1/3?
6212
What is the third biggest value in -1/2, -1/7, 39893, 1/54, 0.1?
1/54
Which is the fourth biggest value? (a) -1 (b) -13 (c) 0.1988 (d) 1.6
b
Which is the fifth smallest value? (a) 16/31 (b) 0.2 (c) -2/11 (d) -19 (e) 5 (f) 1
f
Which is the third smallest value? (a) 0.4 (b) 130997 (c) -14/25
b
What is the sixth smallest value in -0.05, -0.2, -7, -3/7, -1/136, -0.34?
-1/136
Which is the biggest value? (a) -9 (b) -4/1641 (c) -15.6
b
What is the sixth smallest value in 0, 64, 29, -3/2, 0.3, -5/8, -2?
29
Which is the second biggest value? (a) -2.8 (b) 0 (c) 3 (d) -20.98 (e) 5 (f) 4
f
What is the third smallest value in -1/116931, -1, 2?
2
Which is the second biggest value? (a) 4 (b) -6.26 (c) -0.049061
c
Which is the fifth smallest value? (a) 1.6 (b) 8/15 (c) -1 (d) -0.5 (e) -7/4 (f) -4/29
b
What is the biggest value in -0.326, 4, -0.92, -83?
4
Which is the third smallest value? (a) -15.2 (b) -42/193 (c) 2 (d) -5 (e) -1/6
b
What is the biggest value in -0.5, -12.7, -14579, 0.07?
0.07
Which is the fifth biggest value? (a) -2/7 (b) 0.5246 (c) 9 (d) -1/8 (e) 1/3 (f) -2/15
f
What is the fourth smallest value in -13, -5, -27, -0.7, 23?
-0.7
Which is the fourth biggest value? (a) 8/15 (b) 1/5 (c) 0.1 (d) -0.12 (e) -6 (f) 3
c
What is the sixth biggest value in 3.6, -2/9, 76, -0.05, 8, 0.2?
-2/9
Which is the fourth smallest value? (a) 13.507 (b) 4 (c) 3/4 (d) -1 (e) 0 (f) 12
b
What is the smallest value in -138, -5, 807, 10?
-138
What is the sixth biggest value in 0.19, -4, -11, -2/91, -0.3, 0.5, -0.5?
-4
What is the fifth smallest value in 22, 31/4, 24, 0.5, -8?
24
Which is the biggest value? (a) -2.34 (b) 5/443 (c) 4
c
What is the biggest value in 3, -280.3, 72/7, -2?
72/7
What is the fourth biggest value in 4/11, 4, 0.24, 1874?
0.24
Which is the second smallest value? (a) -4791634 (b) 4 (c) 3/4
c
Which is the third biggest value? (a) 315 (b) 14.95 (c) 5 (d) -0.5 (e) -1/4
c
Which is the sixth biggest value? (a) 0.23 (b) -0.4 (c) 2/55 (d) 222 (e) 0.2 (f) 1
b
What is the third smallest value in -3, -0.3, -151, 5, -13?
-3
Which is the smallest value? (a) 114517 (b) 138/11 (c) 4
c
What is the smallest value in -4, -74, 0.1, -12/11, -2/23, 0.3, 0.02?
-74
What is the third smallest value in -1, 20, -12/5, -110.2?
-1
Which is the biggest value? (a) -1.2 (b) -9.15 (c) -2/699
c
What is the second biggest value in -4987/4696, 2/3, 2?
2/3
What is the second smallest value in 5, -2, -209, 119, -30, -5?
-30
Which is the smallest value? (a) 0.9025 (b) 207 (c) -1
c
What is the sixth smallest value in 6, 14, 56, -14552, -4, 0.4?
56
What is the fourth smallest value in 165, 2, 2/9, 1/9, 1/6, 5, 18/5?
2
Which is the fourth biggest value? (a) -0.09 (b) -54/11 (c) -1/13 (d) -3841 (e) 3
b
Which is the third smallest value? (a) 0.4 (b) 0.14 (c) 1 (d) 4 (e) -45429 (f) 3 (g) 0
b
Which is the fifth smallest value? (a) -3 (b) 0.12 (c) -4 (d) -4/3 (e) 3/1556
b
What is the biggest value in 5, 7, 2279/72?
2279/72
Which is the sixth biggest value? (a) -4 (b) -6 (c) -5 (d) 1/3 (e) -2/5 (f) -4/3 (g) -838
b
Which is the second smallest value? (a) -4714.3 (b) 3/2 (c) 2/9
c
Which is the second smallest value? (a) -11048 (b) 0.02 (c) 0.4 (d) -29
d
What is the second biggest value in 2, 3/5, 2/5, -0.11, -15133?
3/5
What is the third biggest value in 5, 241492, 2?
2
Which is the second biggest value? (a) 1/3 (b) 5 (c) 20 (d) -7484.7
b
What is the sixth biggest value in 0.0097, -3/8, -1/7, -1, 9, -0.5, -0.3?
-0.5
Which is the sixth biggest value? (a) 495 (b) 0.3 (c) 3/4 (d) -2 (e) -1.18 (f) -1
d
Which is the biggest value? (a) 1/2 (b) -0.2 (c) -3/8 (d) -1 (e) -5 (f) -18.5 (g) -3
a
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -58*g - 13 = -45*g. What is the closest to 5 in b, 4, g?
4
Let t = -1.5 + 1.2. Let y = 13.74 - 14. Let m = -2.26 - y. Which is the closest to -0.4? (a) m (b) -5 (c) t
c
Let p = -0.037 + -0.063. Which is the nearest to 0? (a) -4 (b) 14 (c) p
c
Let o be 2 - -2 - (-2)/(-1 - 1). Let q = 4798447/145 + -33093. Let l = q + -4/29. Which is the nearest to l? (a) -2 (b) -5 (c) o
a
Let y = -63 - -62.874. Let l = y + 0.026. Let s be 0 - (2 + (-4)/3). Which is the nearest to s? (a) 3 (b) l (c) 0
b
Let i = -2.409 - -2.459. What is the closest to i in 4, -4, 0.2, -3?
0.2
Let y be 10/24 - 2/3. Let p = -100 - -90. Let o be 35/p - 4*3/(-3). Which is the closest to y? (a) 0 (b) -0.1 (c) o
b
Let s = 2/457 - -2720/5027. What is the nearest to s in -4, 0, -0.3?
0
Let m = -4.3 + 0.3. Suppose -4*j + 26 = -5*x, -j + 6 = x + 4. Which is the closest to 2? (a) -0.1 (b) m (c) j
c
Let a = 600.7 - 601. What is the closest to -2 in 0.1, a, -3/2, -2/9?
-3/2
Let d = 8 + -6. Let r = -290 - -293. What is the nearest to 0 in r, -4, d?
d
Let f = -46/7 + 361/56. Let u = 0.3 + -0.4. Let t = -1/1023 - -2053/7161. What is the closest to u in -2, t, f?
f
Let x = 880 - 6162/7. What is the nearest to x in 2, 6/13, -2?
6/13
Let z be 1/(-1)*(-14 + 13). What is the closest to z in 3/8, 5, -2?
3/8
Let s = 629/28 - 159/7. Which is the closest to -2? (a) s (b) 3/5 (c) 3
a
Let a = -3 - -2.7. Let t be (-16)/(-30) + 2/(-10). Suppose -3 + 0 = -3*p. What is the nearest to -1/2 in a, p, t?
a
Let o = 1447 + -1444. What is the closest to -2/5 in o, 4, -1/15, -2/11?
-2/11
Let x = -3 + 5/2. Let l = 0 + 9. Let i be (l/30)/(1/(-12)) + 4. What is the nearest to 0 in 1, x, i?
i
Let i = 5 - 2. Let t be -3*1 + (-24)/(-9). Let g = 23.9 + -24. What is the closest to t in g, -4, i?
g
Let u be (-138)/336 + (-4)/(-32). Let x = -1 - -0.5. What is the closest to x in u, 0.2, 0.3?
u
Let n = -0.27 - -0.13. Let r = n - -0.44. What is the closest to 0.1 in 5, 2/7, r?
2/7
Let w be (-31)/(-18) + (-6)/4. Let j = -3.92 + -0.08. Let r be ((-4)/(-8))/(12/(-6)). Which is the nearest to w? (a) r (b) 5 (c) j
a
Let s = -1046 - -1039. What is the nearest to 5 in s, -0.5, 0?
0
Let i be 12/4 + (-7)/(28/(-12)). Which is the nearest to 0? (a) 13 (b) i (c) 0.5 (d) 1
c
Let c = 0 - -0.5. Let s = 14 + -12. Let y = s + -2. What is the nearest to y in c, -2, 3?
c
Let a = 20 - 20.5. Let x be 4/7*-6*21/180. Let l = 0 - -2. What is the nearest to -2 in l, x, a?
a
Let w be (12/10)/((-6)/15). Let x(h) = h**2 + 6*h + 3. Let o be x(w). Let p be (-20)/(-12)*o/2. Which is the closest to -2/3? (a) 2/9 (b) p (c) -3
a
Let j(z) = -5*z**2 - 44*z + 40. Let x be j(-9). Which is the nearest to x? (a) 2 (b) -1/5 (c) 0.4
a
Let m = -2.1 - -2. Suppose 5*w + 4*z = -41, 3*w + 5*z = -21 - 14. Let q(s) = s - 6. Let y be q(10). What is the nearest to -1/4 in w, m, y?
m
Let w = 3.63 - 1.63. What is the closest to -3 in 3, w, -5, 5/4?
-5
Let u = 2.154 - 2.254. Let q = 4.7 + -5. What is the nearest to 0 in q, u, -2.6?
u
Let m = -61 - -791/13. Let l = -1444 + 1449. Which is the nearest to m? (a) 3/7 (b) -2 (c) l
a
Let k be 4/(-7) - (-5 + 4). Suppose -4*a - 5*d + 3*d = 22, -a - 7 = 2*d. Let v(x) = x**2 + 3*x - 5. Let p be v(a). What is the nearest to 0 in p, -1/9, k?
-1/9
Let q = -156.7 - -160.7. Let y be (-16)/10 + (-2)/5. Which is the closest to -0.1? (a) y (b) q (c) -4/3
c
Let z = 8943/5 - 1788. What is the nearest to -2/13 in z, 2, -2, 3?
z
Let d = 4.8 - 9.8. What is the nearest to 2 in 4, 0.5, d?
0.5
Suppose 5*o = 2*b - 2 + 20, 5*o = 3*b + 22. Suppose 20 = -9*l + 4*l. Let g be (l - -8)*o/12. What is the nearest to g in 0.5, -0.4, 2?
0.5
Suppose 5*y = 5*r + 15, 0 = 2*r - 5*r + 4*y - 14. Let u = -22.8 - -22. Which is the closest to u? (a) -3 (b) -0.2 (c) r
b
Let j = 0.375 - -0.025. Let v(m) = -m**3 - 4*m**2 + 3*m + 4. Let u be v(-3). Let g be 18/u + (0 - -1). Which is the nearest to -2/7? (a) j (b) 0.2 (c) g
c
Let w = 1158 + -1157.9. Which is the closest to 0? (a) -0.06 (b) -3 (c) w
a
Let d = -55.4 + 57.4. What is the nearest to -0.1 in 1, d, 5?
1
Let u = -54.9 - -54.7. Which is the closest to -0.3? (a) 3 (b) 2
|
{
"pile_set_name": "DM Mathematics"
}
|
/7) assuming q is positive.
q**(-1644/287)
Simplify ((g**14*g*g**(-6/5))**(10/7))**42 assuming g is positive.
g**828
Simplify (s**(-17)/s*s**0)/(((s/s**16)/s)/s)**32 assuming s is positive.
s**526
Simplify (c*(c/c**(-7))/c*c)**(-2/3)*c**(-1/4)*c**(-2) assuming c is positive.
c**(-33/4)
Simplify ((d/(d*d**(-9/5)))/(d**9*d))**(2/99) assuming d is positive.
d**(-82/495)
Simplify ((y**(-2/35)/y*y)/y)**(-20)/((y/(y*y**(-18)))/y)**(4/9) assuming y is positive.
y**(856/63)
Simplify (t**(-2))**43/(t**7*t)**(-1/15) assuming t is positive.
t**(-1282/15)
Simplify ((d**(-19)/d)/(d/(d*d/((((d*d**20*d*d)/d*d*d)/d)/d)*d)))/(d/(d*d**(4/5)*d))**34 assuming d is positive.
d**(106/5)
Simplify ((y/(y/y**(-1/8)))/(y**(-5/3)*y))/((y*y**2)/y)**(-8/11) assuming y is positive.
y**(527/264)
Simplify (b**(-7/4)/(b*b/((b**23/b*b)/b)))/((b*(b**(-18/11)*b)/b)/b**(-1/10)) assuming b is positive.
b**(4133/220)
Simplify ((w**(-1/5)*w*w**(-17)/w)**(-11/3))**35 assuming w is positive.
w**(6622/3)
Simplify (k**(-1/5)*k**7/k)/(k/(k*k**(-4))*k)**(3/25) assuming k is positive.
k**(26/5)
Simplify (x**(2/13)/x)**(-2)*(x**(-2))**(2/7) assuming x is positive.
x**(102/91)
Simplify (v/((((v**(-8)/v)/v)/v)/v))/v**(-3/11)*((v*v/(v/(v/(v*v**(-6/11)*v))))/v)/v**(-4) assuming v is positive.
v**(185/11)
Simplify (z*(z**(-3)*z)/z*z)**1/(z**(3/5))**(-23/4) assuming z is positive.
z**(49/20)
Simplify (r*r/(r**1/r)*r*r**(1/12)*r**0*r/(r*((r/(r**(-1/7)/r))/r)/r*r))**(-4/43) assuming r is positive.
r**(-163/903)
Simplify ((b*b**(-14/11))/(b**12*b))/((b*b**18)/b**23) assuming b is positive.
b**(-102/11)
Simplify p*p*p**(-6)/p*((p**(-2)/p)/p)/p*(p/p**(-4/7))/p**5 assuming p is positive.
p**(-94/7)
Simplify r*r**(-25)*r*r*r**(-25)*(r/(r/r**(-1/10)))**(1/2) assuming r is positive.
r**(-941/20)
Simplify ((v**(-2/13)/((v*v**(-6))/v))/(v**(-3))**13)**(-5/13) assuming v is positive.
v**(-2915/169)
Simplify (u*u**(-12)/u*u/u**14)/((u*u*(u**(-5)/u)/u*u)/(u*u**(-3/13)/u)) assuming u is positive.
u**(-276/13)
Simplify (q**(-5/7)/q*q*q**(-1/26))**(-3/2) assuming q is positive.
q**(411/364)
Simplify (d/(d/d**(-1/5)*d))**4/(d**(4/5))**34 assuming d is positive.
d**(-32)
Simplify ((t**20/(t/(t*t/(t**(15/2)*t)*t)))**(-24))**26 assuming t is positive.
t**(-8424)
Simplify h**(2/37)*h**13*(h**6*h)**(1/20) assuming h is positive.
h**(9919/740)
Simplify (b*b*b**(-3)*b*b*b)/b**(1/8)*(b**(-2)*b)**41 assuming b is positive.
b**(-313/8)
Simplify ((t**(-23)*t)/t*t)**(14/13)*((t/t**(8/3))/t)/t**(-27) assuming t is positive.
t**(25/39)
Simplify (o*o**31*o**21)**(8/13) assuming o is positive.
o**(424/13)
Simplify (l**(2/45)*l)/l*l*(l*l**(-13)/l*l)/l*l/l**(1/5)*l*l**(-17) assuming l is positive.
l**(-1222/45)
Simplify (((s**(1/2)*s)**(-46/3))**(-2/9))**(-1/35) assuming s is positive.
s**(-46/315)
Simplify (x/(x**(-1/2)*x)*x/(x*x*(x*x**31*x)/x))**(-1/7) assuming x is positive.
x**(65/14)
Simplify (o*o*o/(o*o**2)*o)**14*(o**(1/3)*o*o)/o*o**(-2/41) assuming o is positive.
o**(1880/123)
Simplify ((r/r**13)/r)/(((r/(r/(r/(r**(3/5)*r))))/r)/r*r)*(r**3*r)**33 assuming r is positive.
r**(603/5)
Simplify (t/t**(-20)*t/(t*(t/(t/(t**20/t)))/t)*t)/(t*t**1/t)**32 assuming t is positive.
t**(-28)
Simplify (r**(-7/6))**4*r**(-15)*r*r*r**(11/5) assuming r is positive.
r**(-232/15)
Simplify (m*m/(m**14*m))/m*m*((m/(m*m**2))/m*m)/m*m**10/m**4 assuming m is positive.
m**(-10)
Simplify (x/x**(1/6)*x*x**(6/11)*x)/(x/((x/(x*x/(x**(-12)*x)*x)*x)/x))**(-12/11) assuming x is positive.
x**(1231/66)
Simplify (f/(f**(-2/37)/f)*f**2)/(f**6*f**(-2)) assuming f is positive.
f**(2/37)
Simplify (a/a**(-6))/a*a**(-2/5)*((a/a**(2/15))/a)/(a*a*a/(a*a**(-2/11)*a*a)*a*a*a) assuming a is positive.
a**(377/165)
Simplify ((t**(7/4))**(-25))**(-20) assuming t is positive.
t**875
Simplify (((x*x**(-1/2))**(-2/7))**(3/4))**(-4) assuming x is positive.
x**(3/7)
Simplify q**(-3/2)/(q*(q/(q/q**(2/17)))/q)*(((q*q*q**(2/53))/q)/q)/q*q/(q**(-2/11)/q)*q*q assuming q is positive.
q**(31753/19822)
Simplify (((f*f**2*f)**25)**(2/5))**5 assuming f is positive.
f**200
Simplify ((g**(4/3)*g/g**1)/((g/g**(-4))/g**(-6)))**(-1/15) assuming g is positive.
g**(29/45)
Simplify (((v**(2/3)*v)**5)**18)**32 assuming v is positive.
v**4800
Simplify (s/s**(2/5))**(-12)*(s**11/s)/(s/s**(-9/2)) assuming s is positive.
s**(-27/10)
Simplify (((m**22*m)/m*m*m*m)/m*m**(1/21))/(m/(m*(m**(2/19)*m)/m)*m)**(-43/4) assuming m is positive.
m**(53731/1596)
Simplify a**(-1/8)/(a**(3/2)/a)*((a*a**(-1/10))/a)**(2/21) assuming a is positive.
a**(-533/840)
Simplify ((g/(g/g**(-12))*g)/(g/(g
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the units digit of b(j)?
0
Suppose -3*p + 9*p - 102 = 0. What is the tens digit of p?
1
Let h(b) = -b**3 + 3*b**2 + 6*b - 3. Let m be h(4). Suppose 0 = -s + 2*s - 4. Suppose s = -k + m*k. What is the units digit of k?
1
Suppose 0 = 4*l + j - 66, 9 = l + j - 6. What is the units digit of l?
7
Suppose 0 = -23*t + 24*t - 27. What is the tens digit of t?
2
Let l(d) = d**3 + 37. Let u be l(0). Let h(k) = 25*k**3 + k**2 - 1. Let a be h(-1). Let z = u + a. What is the units digit of z?
2
Let m(y) be the first derivative of -y**5/20 + y**4/4 - y**2/2 - y - 1. Let c(x) be the first derivative of m(x). What is the units digit of c(2)?
3
Suppose -150 = -v - 4*w, 0 = -5*v + w + 2*w + 704. What is the units digit of v?
2
Let x = 53 - 6. Suppose -m = 0, -2*m + x + 48 = 5*s. What is the units digit of s?
9
Let p = -210 - -535. What is the tens digit of p?
2
Suppose 4*k - 4*w + 9*w - 8 = 0, -8 = -4*k - 4*w. What is the units digit of (4/6)/(k/27)?
9
Let f(r) = -r**3 - 7*r**2 - 9*r - 7. Let g be (-176)/28 - 2/(-7). What is the units digit of f(g)?
1
Let p = 324 - 147. What is the units digit of p?
7
Let d(s) = 20*s - 11. What is the hundreds digit of d(10)?
1
Suppose 11*k + 20 = 12*k. What is the units digit of k?
0
Let c = -1 - -8. Suppose 0 = 2*d - c*d + 2*p + 33, -4*d - 4*p = -32. What is the units digit of d?
7
Suppose -24*t + 19*t + 500 = 0. What is the tens digit of t?
0
Suppose -5*x + 4*b - 5 + 39 = 0, -b = 1. Suppose 3*k + 3 = -x. What is the tens digit of (-47)/k - 4/(-12)?
1
Let v be (-2)/(-3) - (-156)/9. Let a = -14 + 20. Suppose v = 2*c - 2*o, -o - a = -2. What is the units digit of c?
5
Suppose 0*h + 18 = 2*h - 5*t, 0 = 5*h + t - 99. What is the tens digit of h?
1
Let g(r) = -2*r - 1. Let p be g(1). What is the tens digit of p/((-9)/(-6)) - -21?
1
Let h = 106 - 48. What is the tens digit of h?
5
Suppose 0*r - 3*r = -102. What is the units digit of r?
4
What is the units digit of (-5)/((-15)/(-181))*6/(-1)?
2
Suppose 0 = -2*c - 0*c. Suppose -22 = 4*k - 5*k - 5*h, c = k + 3*h - 14. Suppose 0*i = -k*i + 14. What is the units digit of i?
7
Suppose -3*u = -8*u. Suppose 2*q = 2*k + 24 + 18, 5*q + 3*k - 129 = u. Suppose -2*w = 2*p - q, 5*w - 39 = -4*p + 4*w. What is the units digit of p?
9
What is the tens digit of 3/(1*(-3)/(-22))?
2
Let y = 116 + -28. Suppose 3*v = o + 41, -4*v + 3*o - 25 + y = 0. What is the tens digit of v?
1
Let r(o) = 2919 + 2*o**2 - 2919 - 4*o. Suppose 6*d + 3*z = d + 29, -2*z + 6 = 0. What is the units digit of r(d)?
6
Let a = -560 + 875. What is the units digit of a?
5
Suppose -4*u = -4*v + 1200, -3*v - 5*u = -2*v - 312. What is the hundreds digit of v?
3
Let w be (-7)/4*60/(-5). Let v = 29 - w. What is the units digit of v?
8
Let k = -132 - -192. What is the tens digit of ((-6)/(-18))/(2/k)?
1
Let n(k) = 2*k**2 - 3 - k**2 + 3 + 15 + 2*k. What is the tens digit of n(0)?
1
Let q(v) = 8*v**2 - 25*v + 3. What is the hundreds digit of q(6)?
1
Let f = -8 - 6. Let r = 20 + f. Suppose -11*h + 40 = -r*h. What is the units digit of h?
8
Let h(r) = 2*r**3 - 2*r**2 - 15*r + 7. What is the tens digit of h(5)?
3
Suppose 154 = o - 45. What is the hundreds digit of o?
1
Let b = 6 - 8. Let l be (-25)/(-2) + 1/b. What is the units digit of ((-7)/(-3))/(4/l)?
7
Suppose 0 = -2*c - 2*k + 25 - 5, 95 = 5*c - 4*k. Suppose c = j + 2*d, 0 = -j + 2*d + 15. What is the tens digit of j?
1
Let t be (-45)/3*1/(-3). Suppose 5*q - 26 = -y + 25, 3*y = t*q - 47. What is the units digit of q?
0
Suppose 2*k - 4*k = 2*b - 12, 5*b + 10 = 5*k. What is the units digit of b?
2
Let u be ((-8)/(-3))/4*6. Suppose m = -u*b + 17, 3*b + 0*b - 29 = -4*m. Suppose -b = -p - 1. What is the units digit of p?
2
What is the units digit of 68 + (6 - (-1 - -4))?
1
Let h(l) = -2*l - 2. Let m be h(-2). What is the units digit of (9/m)/((-7)/(-14))?
9
Let n(b) = b**3 - 3*b**2 - 5*b + 6. Let q be n(4). Suppose q*p - 210 = -5*f - p, 4*p - 42 = -f. What is the units digit of f?
2
Let d(l) = -l**3 - 6*l**2 + 11*l - 7. What is the units digit of d(-8)?
3
Suppose 4*z + 5*w + 24 = 0, 2*z + 7*w - 3*w = -18. Let j = z - -2. What is the units digit of j?
1
Suppose 0 = -4*d + d + 99. What is the units digit of d?
3
Let z(r) be the third derivative of r**4/12 + r**3/3 - r**2. Suppose 0 = 2*d + d - 6. What is the units digit of z(d)?
6
Let p(s) = s + 2. Let f be p(-4). What is the tens digit of 28 - ((-6)/f - 3)?
2
Suppose 43 = 4*w - 4*f - f, -5*f - 9 = -2*w. What is the units digit of w?
7
Let u = -18 - -32. What is the units digit of u?
4
Let c = 1 + 3. Suppose 63 = c*u - u. What is the units digit of u?
1
Let k(w) = -6 - 2*w**2 - 3*w - 3 + 3*w**2. What is the units digit of k(7)?
9
Suppose 7*c
|
{
"pile_set_name": "DM Mathematics"
}
|
f - 1. Let b be k(-3). Suppose 0 = b*s + d - 31, -4*s + s + 46 = 2*d. Calculate the lowest common multiple of 16 and s.
16
Suppose 0 = 3*y - 27 + 87. Let o = -14 - y. What is the least common multiple of 4 and o?
12
Suppose 3*s - s + 108 = 0. Let n = -47213/10 - -4725. Find the common denominator of n and (285/s)/1 + 1.
90
Let c be 1/(-2)*(-23864484758307)/(-522206790). Let x = -1/17406893 - c. Let q = x - 22845. Find the common denominator of q and -67/16.
80
Let l(g) = g**3 + 6*g**2 - 8*g - 7. Let h be l(-7). Suppose h*s = 2*s. Suppose s = 2*x - 0*x - 28. Calculate the lowest common multiple of x and 4.
28
Let d = 43 - 40. Calculate the lowest common multiple of d and 30.
30
Let r = -90 - -51. What is the least common multiple of 10 and r/(-4) + (-6)/(-24)?
10
Let f be -1 - (0/(-3) - 1). Suppose 5*c = -f*c + 20. Suppose -c*v + 40 = 4*g, 3*g - 2*g - 6 = -5*v. What is the least common multiple of 4 and g?
44
Suppose -l + 12 = -5*m, 3*l - 10 + 4 = 0. Suppose 3*k - 42 = -12. What is the smallest common multiple of k and ((-1)/m)/((-1)/(-14))?
70
Let r(w) = 3*w + 7. Let z be r(-5). What is the lowest common multiple of (-6)/z - (-85)/20 and 9?
45
Let r = 16 + -17. What is the common denominator of -9/11 and 130/(-110) + (-3)/r?
11
Let r(z) = z**3 - 6*z**2 - 8*z + 8. Let p be r(7). Let v = 1 + p. Suppose -q + v = -1. What is the lowest common multiple of q and 5?
15
Suppose 2*t + 4 = -3*t + 2*l, -l - 5 = t. Let a(b) = -b**3 + 2*b**2 + 2. Suppose 3*x - 69 + 21 = 0. What is the smallest common multiple of a(t) and x?
144
Suppose 0 = 140*a - 130*a - 60. Suppose 0 = 3*u - 9 - 15. Calculate the least common multiple of u and a.
24
Let o = 5/641 - 23857/17948. Calculate the common denominator of o and -23/32.
224
What is the common denominator of ((-4)/16)/((-3)/75) and 69/2 - (1 + 1)?
4
Calculate the least common multiple of 7*(-3)/(-4) - 1/4 and 7.
35
Let r(u) = -58*u + 7. Let v be r(-7). Let q = -62932 - -312606/5. Let c = q + v. What is the common denominator of 2/7 and c?
35
Let c be 1/(2 - 1)*42. What is the smallest common multiple of (1/(-3))/((-2)/c) and 8?
56
Let v be 32855/((2/3)/(-2)). Let z be v/(-2122)*(-1)/(-9). Let a = 6/1061 + z. Calculate the common denominator of a and -5/12.
12
Let g = 6 + -1. Suppose 0 = g*x - 12 + 2. Calculate the least common multiple of 10 and 456/21 + x/7.
110
Calculate the common denominator of 17/10 + -4 + 3 + -3 and 19/2.
10
Let y = 428845/281602 - 311/206. Let a = y - -37744129/8202. Let u = -4584 + a. Find the common denominator of u and -20/7.
42
Suppose -4*s = -0*s + 64. Find the common denominator of 33/20 and (-22)/(-4) - s/72.
180
Let j = -15 - -25. Suppose -2*i = -0 - 16. Calculate the smallest common multiple of j and i.
40
Let d = -645116 - -3859373/6. Let z = -1881 - d. What is the common denominator of (-261)/120 + (-2)/10 and z?
24
Let f(l) = 7*l - 2. Let g be f(6). Suppose 5*p = -5*i + g, i + 4 = -i. What is the lowest common multiple of p and 2?
10
Let p(v) = -v**3 - 42. Let f be p(0). What is the common denominator of 229/f - 4/(-14) and 49/20?
60
Let q = -30 + 39. Calculate the least common multiple of q and 32.
288
Let a(c) = 2*c - 6. Let f be a(6). Let h = 91 + -161/2. Find the common denominator of h and f/15 - 354/(-15).
2
Let c be 24/28*13*7. Find the common denominator of (c/(-2))/(0 - -10) and 109/18.
90
Let c = -9 + 21. Calculate the lowest common multiple of c and 10.
60
Let n be (-1146)/(-572) + -4 + 2. Let m = -2291/858 + n. Calculate the common denominator of m and 31.
3
Find the common denominator of 1/46 and (-13 - -43)*10/64.
368
Suppose 1 = -2*d - 3. Let p = d - -4. Let b(j) = -j**3 + 7*j**2 + j - 4. Calculate the smallest common multiple of p and b(7).
6
Suppose 0 = 4*w + 2 - 26. What is the common denominator of 49/10 and 4/w + 182/(-48)?
40
Let x = -22 - -24. Calculate the lowest common multiple of 9 and x.
18
Let k(s) = -5*s + 51. Calculate the lowest common multiple of 20 and k(7).
80
Let g(j) = j**3 + 7*j**2 - 8*j + 6. Calculate the lowest common multiple of g(-8) and 65/4 + 7/(-28).
48
Let b = 1685/2 + -889. What is the common denominator of b and -77/18?
18
Let m = 155/2 + -86. What is the common denominator of m and -55/13?
26
Let v = -4 + 13. What is the lowest common multiple of v and 8?
72
Let j(r) = -2*r**2 + 23*r + 16. Calculate the least common multiple of j(12) and 4.
4
Let n be (1/(-2))/(1/33757). Let h = -17752 - n. Let u = h + 844. What is the common denominator of u and -31/6?
6
Suppose -3*g = -5*s - 1, -3*g - g = 3*s - 11. Suppose -2*w = 2*w - 40. What is the smallest common multiple of w and g?
10
Suppose 0 = k - 2 - 1. Suppose -x - 42 = -7*x. Calculate the least common multiple of k and x.
21
Let d(p) = p**2 - 2. Let f(j) = j**3 + 5*j**2 + 4*j + 6. Calculate the least common multiple of f(-3) and d(4).
84
Let n(x) = -x**3 + x**2 + 5*x - 3. Let q be (5 - 2/1)*1. Let s be n(q). Let v = s - -9. Calculate the least common multiple of 2 and v.
6
What is the common denominator of -87/20 and (21/(-22))/((-9)/21)?
220
Let l(q) = q - 6. Let p be l(0). What is the common denominator of 23/20 and 51/90 + (-2)/p?
20
Let c = -2663 - -24031/9. What is the common denominator of -48/5 and c?
45
Let y(c) = c**2 + 11*c + 12. Let q be y(-10). Suppose 32 = 2*r + q*r. What is the smallest common multiple of 16 and r?
16
Let u(f)
|
{
"pile_set_name": "DM Mathematics"
}
|
y*a and give g.
18
Express -2*y**2 + 0*y**3 - y**3 + 105 - 103 as p*y**2 + b + o*y**3 + g*y and give b.
2
Rearrange -2*i**4 + 13*i**2 - 4*i - 192 + 191 + 2*i to the form s*i**3 + d + k*i**4 + b*i**2 + v*i and give b.
13
Express (4*t - 4*t + t**2)*(3*t - t - t)*(-5 + 6 + 10) in the form o*t**2 + k + h*t**3 + v*t and give h.
11
Express -2*t**2 + 1 - 98*t - 96*t + 2*t**3 + 189*t + 2*t**4 as x*t**3 + h*t + q*t**2 + o*t**4 + u and give q.
-2
Express -30*y**2 + 5*y - 8*y**2 - 9*y**2 - 3*y as u + m*y + h*y**2 and give m.
2
Rearrange 14*r**2 - 3*r**3 - r**3 - 16*r**2 - 3*r**4 to the form o*r**2 + z + m*r**4 + s*r + p*r**3 and give p.
-4
Express (2*i**2 - 2*i**2 + i**2)*(2 + i**2 - 2) - 4*i**4 + 1239*i**2 - 1239*i**2 as u*i**4 + l*i + r*i**2 + a + q*i**3 and give u.
-3
Rearrange (-3 + 0 + 5)*(2 - 3*a - 2*a + a) to c*a + i and give i.
4
Express 0 + 2 + 9*p - 2 in the form u + q*p and give q.
9
Express ((-l + l - 2*l)*(1 - 4 + 6) + 2*l + 3 - 3)*(3*l - 3*l - 2*l) as b + u*l + g*l**2 and give g.
8
Rearrange ((1 - 3 + 6)*(2*u + u - u) + 0*u + 3*u - 2*u)*(0 - 3 + 1)*(-u**3 + 4*u**3 - 2*u**3) to the form t*u**2 + y*u**4 + l + d*u**3 + z*u and give d.
0
Rearrange (5*j**2 + 29*j**2 + 172*j**2)*(3 + 0 - 4)*(1 - 2*j - 1)*(-2 + 0 + 3) to z*j**3 + g*j**2 + a*j + i and give z.
412
Express 5*b**2 - b**2 + 27*b**3 - 26*b**3 as d + l*b**3 + r*b**2 + y*b and give d.
0
Rearrange 6*t - 3*t - t - 18*t to w + f*t and give f.
-16
Rearrange (2 + v**2 - 2)*(-5 + 3 + 3)*(3 + 0 - 4) to the form j + n*v**2 + z*v and give z.
0
Rearrange -2*t**2 - t**3 + 7*t**2 + 2*t - 6*t**2 to k*t**2 + j*t**3 + n + c*t and give c.
2
Rearrange -3 + 546*i - 12*i**2 - 546*i to d + y*i**2 + o*i and give d.
-3
Express 12*a**3 + 2*a**2 - 2*a**2 - 13*a**3 - 8*a**2 as u*a + b*a**2 + w*a**3 + q and give w.
-1
Express -9 - 2*l**3 + 1 + 0 in the form a*l + g*l**2 + n + k*l**3 and give n.
-8
Rearrange 1 - 1 + 6*d to l*d + q and give l.
6
Express 0*a - 6*a + 6*a - a as l + c*a and give c.
-1
Rearrange 17 + 3*r**3 - 6 - 15 to j + w*r**2 + k*r + z*r**3 and give z.
3
Rearrange (-c + 2*c - 4*c)*(99 - 99 + 17*c) to i + u*c**2 + g*c and give u.
-51
Rearrange (4*x**2 - 5*x**2 - x**2 + 4*x**2 - 5*x**2 + 3*x**2 + (0*x + 0*x - 2*x)*(-x - 3 + 3))*(0*x + 8*x - x) to z*x**3 + u + m*x**2 + l*x and give z.
14
Rearrange (-1 + 4*k + 1)*(0 + 3 - 1) - 3*k - k - 2*k to v + x*k and give x.
2
Rearrange (1 + 0 + 2)*(-k + 17 - 17)*(2*k - 2*k - 1 - 2*k**2) to u + t*k**2 + d*k + w*k**3 and give w.
6
Rearrange 326*x**2 + x**4 + x**3 - x + 6*x - 326*x**2 to j*x + a*x**2 + g + l*x**3 + p*x**4 and give p.
1
Express -3*c**3 + 7 - 7 + 0*c**3 + c**2 as k + a*c**3 + j*c + i*c**2 and give i.
1
Express (6*n - 6 + 6)*((-n**2 + n**2 - 3*n**2)*(1 - 4 + 1) - 1 + 1 + 4*n**2) in the form f*n**2 + x*n**3 + c*n + z and give x.
60
Express 40 + 2*k**3 - k**2 - 40 - 2*k in the form s*k**3 + m*k**2 + p*k + j and give s.
2
Rearrange -3*l + 6*l + 6*l**2 - 2*l**2 - l**3 + 2 - l to the form j*l + o*l**2 + k + v*l**3 and give v.
-1
Express (4*t + 4*t - 5*t)*(3*t**2 + t**3 - 4*t**3 - 5*t**2 + (t - 1 + 1)*(0*t**2 - 2*t**2 + 0*t**2)) in the form s*t**3 + b*t + f*t**2 + c + o*t**4 and give o.
-15
Express 17*r**3 - 2*r**3 - 3*r**3 + (3 - r**2 - 3)*(-2*r - 2*r + 2*r) - r**3 + 0*r**3 + 3*r**3 in the form z*r**2 + o*r**3 + u*r + h and give o.
16
Express 8 - 8 - 128*a**2 + 0 in the form u*a + k + z*a**2 and give u.
0
Rearrange (-r**3 + 1 + 1 - r**3)*(-2 - 1 - 12) to y*r**2 + j*r + n*r**3 + i and give i.
-30
Express (8*k - 16 + 16)*(-2 - 1 - 2)*(1 - 2 + 0) in the form c*k + v and give c.
40
Rearrange (-121*m**2 + 347*m**2 - 165*m**2)*(-3*m - 2*m + 4*m) to the form t*m + g + w*m**2 + y*m**3 and give y.
-61
Express 3*s**4 - s + 12*s**2 + 9*s**3 - 12*s**2 - 2*s**4 in the form q + c*s + f*s**2 + t*s**4 + w*s**3 and give c.
-1
Rearrange -3*w + w + 0*w + (4 - 2 - 4)*(3 - 3 + w) - 3*w + 12*w - 32*w to the form p*w + f and give p.
-27
Rearrange (-4
|
{
"pile_set_name": "DM Mathematics"
}
|
82
What is the v'th term of -83, -647, -2249, -5447, -10799, -18863, -30197, -45359?
-93*v**3 + 39*v**2 - 30*v + 1
What is the a'th term of -562773, -562823, -562905, -563019, -563165?
-16*a**2 - 2*a - 562755
What is the k'th term of -33781, -67553, -101363, -135229, -169169, -203201, -237343?
-3*k**3 - k**2 - 33748*k - 29
What is the g'th term of -28992670, -57985340, -86978010?
-28992670*g
What is the n'th term of -1937, -2458, -2971, -3476, -3973, -4462, -4943?
4*n**2 - 533*n - 1408
What is the x'th term of 29347, 234852, 792643, 1878856, 3669627, 6341092, 10069387?
29356*x**3 + 7*x**2 - 8*x - 8
What is the w'th term of -547456, -1095209, -1642962, -2190715, -2738468, -3286221?
-547753*w + 297
What is the c'th term of -30274, -60624, -90992, -121378, -151782, -182204, -212644?
-9*c**2 - 30323*c + 58
What is the b'th term of 1139, 3105, 4929, 6539, 7863, 8829, 9365, 9399?
-12*b**3 + b**2 + 2047*b - 897
What is the u'th term of 21438, 48959, 76480, 104001?
27521*u - 6083
What is the p'th term of -21086, -9089, 2908, 14905, 26902?
11997*p - 33083
What is the y'th term of 5934717, 11869434, 17804151, 23738868, 29673585?
5934717*y
What is the b'th term of 19970, 43130, 66290, 89450?
23160*b - 3190
What is the k'th term of -311729, -312514, -313279, -314018, -314725, -315394, -316019?
k**3 + 4*k**2 - 804*k - 310930
What is the u'th term of 14029904, 28059817, 42089732, 56119649, 70149568?
u**2 + 14029910*u - 7
What is the t'th term of 45917, 92024, 138135, 184250?
2*t**2 + 46101*t - 186
What is the l'th term of 3206931, 6413864, 9620797, 12827730?
3206933*l - 2
What is the r'th term of 32977, 264059, 891511, 2113591, 4128557?
33043*r**3 - 73*r**2 + 7
What is the z'th term of -35975, -71927, -107865, -143789, -179699?
7*z**2 - 35973*z - 9
What is the j'th term of -4506, -4671, -4834, -5001, -5178, -5371?
-j**3 + 7*j**2 - 179*j - 4333
What is the h'th term of 5996, 26070, 59528, 106370?
6692*h**2 - 2*h - 694
What is the f'th term of 2826671, 2826661, 2826651, 2826641, 2826631, 2826621?
-10*f + 2826681
What is the y'th term of -19528, -78104, -175712, -312334, -487952, -702548, -956104?
3*y**3 - 19534*y**2 + 5*y - 2
What is the w'th term of -45165, -184844, -417643, -743562?
-46560*w**2 + w + 1394
What is the c'th term of -9274, -36677, -82352, -146299?
-9136*c**2 + 5*c - 143
What is the a'th term of 5179900, 5179923, 5179948, 5179975, 5180004, 5180035, 5180068?
a**2 + 20*a + 5179879
What is the x'th term of -719, -1252, -2755, -5714, -10615?
-81*x**3 + x**2 + 31*x - 670
What is the x'th term of 143988, 287975, 431948, 575901, 719828, 863723, 1007580?
-x**3 - x**2 + 143997*x - 7
What is the h'th term of 3405741, 3405740, 3405739, 3405738?
-h + 3405742
What is the q'th term of 16478, 32845, 49212, 65579?
16367*q + 111
What is the s'th term of -120202, -240447, -360682, -480901, -601098, -721267, -841402, -961497?
s**3 - s**2 - 120249*s + 47
What is the p'th term of -2356, -4845, -7306, -9733, -12120?
p**3 + 8*p**2 - 2520*p + 155
What is the m'th term of -76223530, -152447063, -228670596, -304894129, -381117662, -457341195?
-76223533*m + 3
What is the p'th term of 484507, 969003, 1453499?
484496*p + 11
What is the c'th term of 590678, 590611, 590536, 590453, 590362, 590263?
-4*c**2 - 55*c + 590737
What is the u'th term of -10541, -10393, -10245?
148*u - 10689
What is the s'th term of -25850, -51671, -77460, -103217, -128942, -154635?
16*s**2 - 25869*s + 3
What is the q'th term of -151437223, -151437228, -151437233, -151437238, -151437243?
-5*q - 151437218
What is the h'th term of 24810, 25976, 27928, 30672, 34214, 38560, 43716?
h**3 + 387*h**2 - 2*h + 24424
What is the x'th term of 497654, 995304, 1492952, 1990598?
-x**2 + 497653*x + 2
What is the t'th term of 8559, 17062, 25605, 34212, 42907, 51714, 60657?
4*t**3 - 4*t**2 + 8487*t + 72
What is the s'th term of -446220, -892458, -1338696, -1784934, -2231172, -2677410?
-446238*s + 18
What is the n'th term of -59949, -242667, -547197, -973539, -1521693, -2191659?
-60906*n**2 + 957
What is the y'th term of -93833, -93861, -93889, -93917?
-28*y - 93805
What is the y'th term of 3271, 6623, 10113, 13789, 17699, 21891?
8*y**3 + 21*y**2 + 3233*y + 9
What is the z'th term of -16129988, -16129987, -16129986, -16129985?
z - 16129989
What is the r'th term of 13091, 52586, 118427, 210614, 329147, 47
|
{
"pile_set_name": "DM Mathematics"
}
|
0
Let s(g) = -g**2 - 6*g - 19. Let z(y) = y**2 + 6*y + 19. Let m(i) = 5*s(i) + 6*z(i). What is the units digit of m(-16)?
9
Suppose 11*a - 6 = 8*a. Let w(l) = -15 - l**a - 21 + 34 + 18*l. What is the units digit of w(14)?
4
Let x(f) = f**3 + 5*f**2 + 5*f + 11. Let l(k) = -2*k**3 - 4*k**2 - 6*k - 12. Let d(r) = 2*l(r) + 3*x(r). What is the tens digit of d(7)?
3
Suppose z + 2*f + 69 = 6*z, -66 = -5*z + 3*f. Let h = 275 - z. What is the hundreds digit of h?
2
Let y = 141 - 139. Suppose 3*g = -3*h + 972 - 288, 0 = -y*g + 4*h + 450. What is the units digit of g?
7
Suppose 0 = 2*p - 4 - 16. Suppose -6*r + p = -2. What is the units digit of r?
2
Let s(d) = 30*d**2 + 11*d - 13. What is the units digit of s(-7)?
0
Let q(c) = 7*c**2 - 2*c + 57. What is the hundreds digit of q(-10)?
7
Suppose 2*d = 38 - 10. What is the units digit of 2/d - (-1217)/7?
4
Suppose 136 - 26 = 11*t. What is the units digit of t?
0
Let q be -1 + 1 - (-6 + 3). Let r = -48 + 83. Suppose -5*t - 4 + 110 = 4*y, -q*t - r = -y. What is the units digit of y?
9
Let w(i) = 2*i**2 - 15*i + 28. What is the tens digit of w(8)?
3
Suppose -4*j = 2*q - 1574, j - 2392 + 31 = -3*q. What is the tens digit of q?
8
Let y(p) = -p**3 + 21*p**2 - 25*p + 39. What is the hundreds digit of y(19)?
2
Suppose 20*s = 28*s - 6576. What is the units digit of s?
2
Let t(k) be the second derivative of 11*k**6/40 + k**5/30 - k**3/6 - k**2 + k. Let f(i) be the first derivative of t(i). What is the tens digit of f(1)?
3
What is the units digit of (200360/120)/((-1)/(-2 - 1))?
9
Let t be ((-3)/(-1))/(1/2). Suppose 570 = 5*z + z. Suppose m = t*m - z. What is the tens digit of m?
1
Suppose -4*o - 656 = -3*h + 824, 0 = -h + 5*o + 497. What is the units digit of h?
2
Let c(w) = 0*w**2 + w - w**2 + 4 + 2*w. Let n be c(5). Let l(f) = -f**3 - 7*f**2 - 9*f - 9. What is the units digit of l(n)?
9
Let a = -2350 - -4484. What is the thousands digit of a?
2
Let f = 219 - 119. Suppose 0*h + 5*h - f = 0. What is the tens digit of h?
2
Let l(r) = -31*r - 137. What is the hundreds digit of l(-21)?
5
Let g(i) = 25*i**2 - 19*i - 10. What is the hundreds digit of g(7)?
0
Let s be (1 - (1 - 1))*276. Suppose -c + 7*c - s = 0. What is the units digit of c?
6
Let r = 102 - 78. Suppose 56*o = 54*o + r. What is the units digit of o?
2
Let h(s) = s**2 - 7*s + 9. Let w be h(6). Suppose a + 232 = w*a. Suppose 0 = 6*o - 2*o - a. What is the units digit of o?
9
Suppose 0 = -5*r - 51 - 14. Let a = r - -5. What is the units digit of (-12)/a*(3 - -23)?
9
What is the tens digit of (4 - 2*(-2)/4) + 461?
6
Let l(a) = a**3 + 11*a**2 + a + 14. Let h be l(-11). Suppose 0 = -h*f + 2*o + o + 183, -5*f = -o - 301. What is the tens digit of f?
6
Let i(c) = 42*c**2 + 12*c + 27. What is the units digit of i(-2)?
1
Let f(u) = 6*u - 22. Let g be f(7). Suppose g = v - 34. What is the units digit of v?
4
Suppose 680 + 2540 = 28*i. What is the units digit of i?
5
Let f(h) = -2*h**3 + h**2 - h - 3. Let u be ((-1)/(-2))/(1/2)*-2. What is the tens digit of f(u)?
1
Suppose 10 = p + p. Suppose -2*b + 2*g - 68 = -394, 0 = p*g - 20. What is the units digit of b?
7
Let c(a) be the second derivative of 0 - 1/6*a**3 + 4*a + 0*a**2. What is the units digit of c(-6)?
6
Let a(f) = 8*f + 3. Let d = 12 + -24. Let k be ((-9)/12)/(3/d). What is the tens digit of a(k)?
2
Suppose -4*g + 12 = 4*s, -8*g - 3*s + 15 = -3*g. Suppose -p - 12 = -q, -g*p + 2*q = -2*p + 8. Let l = 27 + p. What is the tens digit of l?
1
Let r(y) = -2*y**3 + y**2 - 3*y + 2. Let i be r(1). Let q be (4 - 5)/(i/420). Suppose -6*d + 3*t = -2*d - q, 0 = 2*d - 3*t - 108. What is the units digit of d?
1
Let y be 0 - (-18)/(-1 - -4). Suppose y = -5*h + 21. What is the units digit of h?
3
Suppose -4746 = -4*m + 2*d, 13*m - 5*d = 12*m + 1209. What is the units digit of m?
4
Suppose 3*y + 2 = 26. Let f = y + -8. Suppose 2*s + 3*s - 110 = f. What is the units digit of s?
2
Suppose -2*n - 401 = -2451. What is the hundreds digit of n?
0
Let l be -69*(-3 - 0)*20/30. Suppose 0 = -2*r + 26 + l. What is the tens digit of r?
8
Let s be (156/9)/(2/(-24)). What is the tens digit of (s/40)/(2/(-20))?
5
Suppose 0 = -2*t - 2, 4*x - 4*t = x - 8. Let v = 13 + 5. Let j = v - x. What is the units digit of j?
2
Let x(y) = -y**2 + 5*y + 9. Let g = 5 + 1. What is the units digit of x(g)?
3
Suppose -80*t + 77*t + 1355 = 2*w, 4*t + 1362 = 2*w. What is the hundreds digit of w?
6
Suppose -2*b = 2*b + 844. Let u = -108 - b. What is the tens digit of u?
0
Suppose 0 = -9*x + 4884 + 57. What is the tens digit of x?
4
Let d be 2 - ((-6)/(-2))/(-1). Let c(o) = o**3 - 6*o**2 + 8*o - 3. Let i be c(d). Suppose -i = -0*m - m. What
|
{
"pile_set_name": "DM Mathematics"
}
|
l)*(1 + 0 - 2) + 2*l + 7*l - 8*l + 3*l + 0*l - l.
4*l
Expand (2*v + 0*v - v)*(-1 - 1 + 4) - 2 - 3 + 4 + v.
3*v - 1
Expand (9 - 7 - 5)*(0*q + q - 2*q).
3*q
Expand -7*y**3 - 10*y**5 + 7*y**3 + (y + 2*y**4 - y)*(-7*y + 12 - 12).
-24*y**5
Expand (0*v + 3*v - 4*v)*(-174 + 174 + 51*v).
-51*v**2
Expand (-4 + 1 + 4)*(0 - 1 + 3)*(4*l + l - 2*l).
6*l
Expand (r + 0*r - 3*r)*(5 - 3 + 0) + (26 - 5 + 7)*(2*r - 1 + 1).
52*r
Expand (1 - 5 + 2)*(1 - 10*n + 1 + 6*n).
8*n - 4
Expand (-v - 3 + 3)*(0*v - 3*v + 2*v)*(6*v - 6*v + v**2).
v**4
Expand (1 + 0 - 3)*(h**3 + 3*h**3 - 2*h**3) - 3*h**3 + 2*h**3 + 2*h**3 + 4*h**3 - 3*h**3 - 2*h**3 + (0*h + 3*h - h)*(1 - 3 + 6)*(-h**2 - h**2 + 5*h**2).
20*h**3
Expand -2*c**2 + 4*c**2 - 4*c**2 + (-3*c**2 + c**2 + 4*c**2)*(-4 + 4 - 2) + 0*c**2 - 2*c**2 + 4*c**2 + 0 - 4*c**2 + 0.
-8*c**2
Expand (5*z - 5*z + 2*z)*((4*z**2 - z**2 - 4*z**2)*(-z**2 + 0*z**2 + 0*z**2) + 6*z**4 + 7*z**4 + 3*z**4).
34*z**5
Expand (-i**2 + 0*i + 0*i)*(-3 - 1 + 5) - 6 - i**2 + 6.
-2*i**2
Expand -5*g**2 + 0*g**2 + 4*g**2 + (5 + 0 - 3)*(-6*g**2 + 5*g**2 + 2*g**2) - 3 + 3 + 2*g**2.
3*g**2
Expand -18*w**3 + 5*w**3 + 147*w**4 - 145*w**4 + (-2*w**2 + 0 + 0)*(-5*w**2 - w**2 + 5*w**2).
4*w**4 - 13*w**3
Expand (3*r - 3*r + r)*(-3 + 3 - 1 + (-4 + 1 + 1)*(1 - 1 - 2))*(r - 3*r + 0*r).
-6*r**2
Expand (g - 2*g + 3*g)*(g**4 + 2*g**2 - 2*g**2) + g**3 + 2*g**5 - g**3 + 2*g**5 + 3*g**5 - 4*g**5.
5*g**5
Expand (-7*p**2 + 2*p**2 + 6*p**2 - 15*p)*(2*p**2 + p**2 + 0*p**2)*(2 - 1 + 0)*(5 - 2 - 1).
6*p**4 - 90*p**3
Expand (7 - 7 + 22*l)*(2*l**2 - l**4 - 2*l**2 + (6*l**4 + 0*l**4 - 4*l**4)*(0 + 1 + 2)).
110*l**5
Expand (0*c - 3*c + 4*c)*(-4*c + 0*c + 3*c)*(3*c**2 - 6*c**2 - 5*c**2).
8*c**4
Expand (5*c - c - 3*c + (9*c - 1 + 1)*(-6 + 6 + 4))*(5 + 0 - 3)*(-c + c + c).
74*c**2
Expand (3 - 3 + 2)*(y**2 + 0*y**2 - 2*y**2 + (0*y + 0*y - 2*y**2)*(-1 + 0 - 1) - 1 + 1 + y**2 - y**2 + 4*y**2 - 2*y**2)*(2*y - 2*y - y).
-10*y**3
Expand (-2 - 1 + 1 + (0 + 1 - 2)*(3 - 2 + 0) - 3 - 2 + 3)*(-2*y**3 + y**4 + 2*y**3).
-5*y**4
Expand (-i - i + 0*i)*(3*i**4 + 0*i**2 + 3*i**2 + i**2).
-6*i**5 - 8*i**3
Expand (-s - 1 + 1)*(1 + 3 - 2).
-2*s
Expand (-20 + 3 + 12)*(2*r**2 + r**4 - 2*r**2 + r**3).
-5*r**4 - 5*r**3
Expand (n**3 + 6 - 6 - 3)*(-4*n - 2*n + 3*n).
-3*n**4 + 9*n
Expand (-2*h + 18*h - h)*(7*h**3 - 5*h**2 + 6*h**2 - 4*h**3).
45*h**4 + 15*h**3
Expand (0*w**3 - 2*w**3 + 3*w**3)*(25*w**2 - 12 + 12).
25*w**5
Expand 0*a + a + a + (4 - 1 - 4)*(a + 0 + 0) + 4*a - 2*a - 3*a + 0*a - 2*a + a - 3 - a + 3 - 2*a + 3*a - 3*a + a - 1 + 1 + (-4 + 1 + 2)*(-a - 4 + 4).
-2*a
Expand -4*t**3 + 3*t**3 + 3*t**3 - 1400 + 1400 + 47*t**3 + (t - 5*t + 2*t)*(-3*t**2 + 4*t**2 - 2*t**2).
51*t**3
Expand (-6*s + 2*s + 3*s)*(-3*s**2 - 3*s**2 + 4*s**2) + 3*s - 3*s**3 - 3*s + 3*s**3 - 10*s**3 - 8*s**3.
-16*s**3
Expand (2*h + h - 5*h)*(h**2 - 3*h**2 + 3*h**2) - 4*h**3 + 4*h**3 - 5*h**3.
-7*h**3
Expand -2 - 4*n + 2 + (0 - 5 + 3)*(-n + n + n) + (-3 + 1 + 0)*(n - 5*n + 0*n).
2*n
Expand ((-b - 3*b + 9*b)*(0 + 2 + 1) - 2*b - 1 + 1)*(0*b**4 + 2*b**4 - b**4).
13*b**5
Expand (8 - 3 - 2)*(0*b**2 + 0*b**2 - 6*b**3 + 4*b - 2*b**3 - 4*b + (-2*b - 2*b + 3*b)*(b**2 + 0*b**2 - 2*b**2))*(2 - b**2 - 2).
21*b**5
Expand (9 - 4*p**2 - 10 - 5)*(-7 - p**2 + 7) - 4*p**4 + p**4 + p**4.
2*p**4 + 6*p**2
Expand (0 + 0 - x)*(0*x**3 + 2*x**3 - 3*x**3 + (5*x**3 - 5*x**3 - 2*x**3)*(-2 + 2 - 3)).
-5*x**4
Expand (-6*b + 0*b + b)*(2*b**2 + 7*b**2 - 3*b**2).
-30*b**3
Expand (-3 + 3 + d**2
|
{
"pile_set_name": "DM Mathematics"
}
|
d to one decimal place?
-3004.6
What is -0.001067342071 rounded to six dps?
-0.001067
Round -0.0000695591429 to 7 dps.
-0.0000696
What is 0.1842629786 rounded to four decimal places?
0.1843
What is -339.33747 rounded to the nearest ten?
-340
Round -36947.31 to the nearest ten.
-36950
Round 1303.41492 to the nearest one hundred.
1300
Round 4534.2157 to the nearest 10.
4530
Round -19155818540 to the nearest 1000000.
-19156000000
Round 0.00211786731 to 4 dps.
0.0021
Round -20090896.06 to the nearest one million.
-20000000
What is 145.67306693 rounded to one decimal place?
145.7
What is -5714041.987 rounded to the nearest one hundred thousand?
-5700000
What is 99.516936 rounded to the nearest integer?
100
Round -4144.563592 to the nearest one thousand.
-4000
What is 0.16619335 rounded to 2 decimal places?
0.17
Round -10.172976989 to 2 decimal places.
-10.17
What is 87645.346 rounded to the nearest 1000?
88000
What is 5108406.993 rounded to the nearest one thousand?
5108000
Round -84099.8829 to the nearest 10000.
-80000
What is 43.73679 rounded to the nearest integer?
44
Round -0.03142035949 to 5 decimal places.
-0.03142
What is 3632.07463 rounded to the nearest 10?
3630
What is 0.003217196687 rounded to seven decimal places?
0.0032172
What is 0.000000683442738 rounded to 7 dps?
0.0000007
What is -0.000010121087 rounded to four decimal places?
0
Round 4216303.513 to the nearest 10000.
4220000
What is 16.7910401 rounded to three decimal places?
16.791
Round 27499.7023 to the nearest integer.
27500
What is 182.4799 rounded to 1 dp?
182.5
Round -558.910591 to the nearest 100.
-600
Round -0.000313668335 to five decimal places.
-0.00031
What is -236645.362 rounded to the nearest one hundred?
-236600
What is 21.0720414 rounded to three decimal places?
21.072
Round 180052.773 to the nearest 10000.
180000
What is -6595958530 rounded to the nearest 1000000?
-6596000000
What is 4557.355176 rounded to 1 decimal place?
4557.4
What is 174669724 rounded to the nearest one million?
175000000
What is 0.1402140803 rounded to 5 dps?
0.14021
Round 125378174 to the nearest one million.
125000000
What is 0.0003782071464 rounded to 4 decimal places?
0.0004
What is -0.02898422293 rounded to three dps?
-0.029
Round -3288.18791 to one dp.
-3288.2
What is 274886361 rounded to the nearest 1000000?
275000000
Round -450176.6829 to the nearest ten thousand.
-450000
What is -6366.99905 rounded to the nearest one hundred?
-6400
What is 2581.274 rounded to the nearest one hundred?
2600
Round -0.0000125805088 to six decimal places.
-0.000013
Round 4037.313924 to the nearest ten.
4040
What is -14100.19539 rounded to the nearest 100?
-14100
Round 3126263.307 to the nearest one million.
3000000
Round 1540390340 to the nearest one million.
1540000000
Round -57.3034532 to two dps.
-57.3
What is -12458.35831 rounded to the nearest one thousand?
-12000
What is -2.392461 rounded to 2 decimal places?
-2.39
Round -22943590.68 to the nearest ten thousand.
-22940000
Round 39398093 to the nearest 100000.
39400000
What is -2610612.917 rounded to the nearest ten thousand?
-2610000
Round -107228.092 to the nearest one hundred.
-107200
What is -1.033842231 rounded to three decimal places?
-1.034
Round 13.2139463 to two dps.
13.21
What is -112482793 rounded to the nearest 1000000?
-112000000
What is -5660633.005 rounded to the nearest 1000?
-5661000
What is 3.4251052 rounded to 3 decimal places?
3.425
Round 0.0000885553282 to six decimal places.
0.000089
Round 0.08437090453 to six decimal places.
0.084371
What is 6786879.177 rounded to the nearest ten thousand?
6790000
Round -0.15186803595 to 5 decimal places.
-0.15187
Round -1180893.6 to the nearest 1000.
-1181000
Round -0.0000000277495669 to seven dps.
0
What is 96062.2815 rounded to the nearest integer?
96062
What is 1859.71578 rounded to the nearest integer?
1860
What is 64381.893 rounded to the nearest ten?
64380
What is -10781023.78 rounded to the nearest one thousand?
-10781000
What is 0.00012183864 rounded to 6 decimal places?
0.000122
Round -0.00005452692 to four decimal places.
-0.0001
What is 0.000001017855185 rounded to seven dps?
0.000001
Round 29883.6315 to the nearest 10000.
30000
What is 3070.40398 rounded to the nearest integer?
3070
Round -0.0296517849 to two dps.
-0.03
What is -11310120.96 rounded to the nearest 1000?
-11310000
Round 152.361273 to the nearest 10.
150
Round -0.0000002862055367 to seven dps.
-0.0000003
Round 7181401693 to the nearest one million.
7181000000
What is 21932.8865 rounded to the nearest integer?
21933
What is 0.000276214216 rounded to 5 dps?
0.00028
What is 0.7849943739 rounded to 3 dps?
0.785
Round -0.00762707276 to 3 decimal places.
-0.008
What is 862994930 rounded to the nearest one hundred thousand?
863000000
Round -70986.19653 to the nearest 10000.
-70000
What is 0.008458579622 rounded to 5 dps?
0.00846
What is -84.730491 rounded to the nearest integer?
-85
Round 141076.04 to the nearest ten thousand.
140000
Round 105.456535 to the nearest 100.
100
Round -26.08354775 to two dps.
-26.08
Round -8.191649 to two decimal places.
-8.19
Round 7495871.916 to the nearest 1000.
7496000
Round -2.28432193 to two decimal places.
-2.28
Round 0.0004267572816 to six decimal places.
0.000427
What is 0.0001034383585 rounded to seven decimal places?
0.0001034
What is 76444169 rounded to the nearest one hundred thousand?
76400000
What is 31284556270 rounded to the nearest one million?
31285000000
Round 40034.759 to the nearest 10000.
40000
What is -259723.222 rounded to the nearest 10?
-259720
Round 0.0297313898 to 4 dps.
0.0297
What is -1.537468124 rounded to three decimal places?
-1.537
Round 0.01330845445 to 3 dps.
0.013
What is 0.67366256 rounded to 3 dps?
0.674
What is -1894907.9 rounded to the nearest 1000?
-1895000
What is 0.00000481764972 rounded to six dps?
0.000005
Round -0.0000003869436 to 7 dps.
-0.0000004
What is 2820228.8637 rounded to the nearest 10?
2820230
Round -0.0377505 to 2 decimal places.
-0.04
What is 428191.2 rounded to the
|
{
"pile_set_name": "DM Mathematics"
}
|
-5 for n.
-3
Solve 0 = 43*w - 39*w - 8 for w.
2
Solve 0 = 7*y - 48 + 20 for y.
4
Solve 7*g - 11 = 17 for g.
4
Solve 3828 = -15*d + 3738 for d.
-6
Solve 0 = 14*d - 0*d + 14 for d.
-1
Solve 0 = 5*q + 38 - 28 for q.
-2
Solve 18*u - 28*u = 40 for u.
-4
Solve -12*u - 21 = -5*u for u.
-3
Solve 6*q + 7*q = -26 for q.
-2
Solve 14 - 39 = -5*h for h.
5
Solve -17*w + 19 = 19 for w.
0
Solve 0 = -4*k - 4 + 4 for k.
0
Solve -v - 14 = -10 for v.
-4
Solve 127*o - 125*o - 6 = 0 for o.
3
Solve 72*s = 74*s - 12 for s.
6
Solve 0 = 24*v - 141 - 75 for v.
9
Solve 18*x = 7*x + 11 for x.
1
Solve 166*w = 419 + 245 for w.
4
Solve 6 = 7*h - 4*h for h.
2
Solve 4*u = 4 - 12 for u.
-2
Solve 78 - 72 = 3*j for j.
2
Solve 3*z + 30 = 13*z for z.
3
Solve -3*x + 336 = 354 for x.
-6
Solve 6*w + 660 = 636 for w.
-4
Solve 0 = -3*k + 456 - 438 for k.
6
Solve 0 = 87*s - 33*s - 162 for s.
3
Solve 0 = -264*m + 291*m + 189 for m.
-7
Solve 17*s - 31*s = -28 for s.
2
Solve -8*v - 39 = 5*v for v.
-3
Solve -8 = -11*y - 63 for y.
-5
Solve -3*q = -17*q for q.
0
Solve -242 = 63*k + 73 for k.
-5
Solve -9*q = 64 + 17 for q.
-9
Solve 5*k = -0*k - 5 for k.
-1
Solve 3*c + 24 = -3*c for c.
-4
Solve 1280 - 1388 = 12*a for a.
-9
Solve -26*k + 104 - 26 = 0 for k.
3
Solve -2 = 2*v - 0 for v.
-1
Solve 33 + 0 = -11*i for i.
-3
Solve 8*r = 19*r for r.
0
Solve 15*c = 20*c + 10 for c.
-2
Solve -123*f + 115*f = -48 for f.
6
Solve -63*r = -31 - 473 for r.
8
Solve -5*w = -7*w for w.
0
Solve -14*t - 10 = -24*t for t.
1
Solve -14*y + 3*y - 11 = 0 for y.
-1
Solve 0 = 228*f - 247*f - 38 for f.
-2
Solve -151*a + 80 = -161*a for a.
-8
Solve -108*h = -173*h + 260 for h.
4
Solve -12*k + 14*k = -6 for k.
-3
Solve 4*v = -13 + 5 for v.
-2
Solve 15 = -10*v + 5*v for v.
-3
Solve 0 = 26*h - 19 + 97 for h.
-3
Solve -5*g + 872 = 877 for g.
-1
Solve 5*d + 24 = 4 for d.
-4
Solve 5*f + 36 = -7*f for f.
-3
Solve y + 10 = 8 for y.
-2
Solve 19*p - 6 = 13*p for p.
1
Solve 60 = -57*h + 69*h for h.
5
Solve 5*o + 2 + 13 = 0 for o.
-3
Solve 8*v + 61 - 29 = 0 for v.
-4
Solve -9*n - 90 = -45 for n.
-5
Solve 12*g - 87 = -3 for g.
7
Solve -33*m - 100 = 65 for m.
-5
Solve -2*d + 10*d + 40 = 0 for d.
-5
Solve -180 + 132 = 6*w for w.
-8
Solve -53 = -18*l + 1 for l.
3
Solve 40 = -9*r + 40 for r.
0
Solve 0 = -16*k + 20*k - 24 for k.
6
Solve -106 = 5*f - 101 for f.
-1
Solve 108 + 81 = 21*r for r.
9
Solve -15*y + 1100 = 85*y for y.
11
Solve 4*n - 1 - 7 = 0 for n.
2
Solve 6*p - 140 = -22*p for p.
5
Solve -668*q = -693*q - 75 for q.
-3
Solve 936*g - 15 = 933*g for g.
5
Solve 7*v + 110 = 29*v for v.
5
Solve 417*w - 27 = 426*w for w.
-3
Solve -133*i = -149*i + 112 for i.
7
Solve 5*t + 42 = 32 for t.
-2
Solve 3*t + 26 - 29 = 0 for t.
1
Solve -13*h = 132 - 2 for h.
-10
Solve -2 = 2*c + 4 for c.
-3
Solve -64*f + 20 = -68*f for f.
-5
Solve 14*t - 6 = -48 for t.
-3
Solve -3*v = 233 - 215 for v.
-6
Solve 363 = 53*f - 61 for f.
8
Solve -85*d = -2 + 2 for d.
0
Solve 11*m - 25 = 16*m for m.
-5
Solve 0 = 9*c - 839 + 776 for c.
7
Solve 45*j + 252 = -63 for j.
-7
Solve 3*u - 208 = -223 for u.
-5
Solve 12 = -b + 8 for b.
-4
Solve 130*k + 2 = 131*k for k.
2
Solve -108 = 29*r - 47*r for r.
6
Solve 2*g - 129 = -135 for g.
-3
Solve 2*f = -0*f - 10 for f.
-5
Solve 5*l - 14 = 6 for l.
4
Solve -11 = 4*d + 5 for d.
-4
Solve -28 = 2*t - 20 for t.
-4
Solve -23*w = -2*w + 84 for w.
-4
Solve 68*x + 6 = 74*x for x.
1
Solve -1895 = 4*u - 1871 for u.
-6
Solve -8*n = -148 + 196 for n.
-6
Solve 39*x - 6 = 45*x for x.
-1
Solve -7*d = -10*d for d.
0
Solve 4 + 8 = 3*s for s.
4
Solve -10*s - 28 = 2 for s.
-3
Solve 2*n = -7*n + 46*n for n.
0
Solve 4*p = -17 + 5 for p.
-3
Solve -6 = -5*j + 4 for j.
2
Solve -72 = -23*w + 5*w for w.
4
Solve 2*i - 196 + 180 = 0 for i.
8
Solve 16*v - 30 - 82 = 0 for v.
7
Solve 72*n - 280 = 16*n for n.
5
Solve 26*q - 71 = 85 for q.
6
Solve -125*x = -129*x - 12 for x.
-3
Solve 9*y = 2*y + 28 for y.
4
Solve 8*k + 6 + 2 = 0 for k.
-1
Solve -4*n = 7*n - 66 for n.
6
Solve 91 - 36 = -11*i for i.
-5
Solve 5*d + 4 + 6 = 0 for d.
-2
Solve 22 - 62 = -10*y for
|
{
"pile_set_name": "DM Mathematics"
}
|
05578.
2, 11, 4799
What are the prime factors of 54187?
7, 7741
List the prime factors of 9686.
2, 29, 167
What are the prime factors of 14028?
2, 3, 7, 167
What are the prime factors of 2288?
2, 11, 13
List the prime factors of 5366.
2, 2683
What are the prime factors of 14245?
5, 7, 11, 37
What are the prime factors of 29108?
2, 19, 383
List the prime factors of 1365.
3, 5, 7, 13
What are the prime factors of 834?
2, 3, 139
List the prime factors of 105614.
2, 52807
List the prime factors of 848.
2, 53
List the prime factors of 8864.
2, 277
List the prime factors of 1753.
1753
List the prime factors of 333.
3, 37
List the prime factors of 423.
3, 47
List the prime factors of 34161.
3, 59, 193
What are the prime factors of 9471?
3, 7, 11, 41
List the prime factors of 643.
643
What are the prime factors of 997?
997
List the prime factors of 29.
29
List the prime factors of 1212.
2, 3, 101
What are the prime factors of 1474?
2, 11, 67
List the prime factors of 105031.
105031
What are the prime factors of 11153?
19, 587
What are the prime factors of 46107?
3, 47, 109
What are the prime factors of 3055?
5, 13, 47
List the prime factors of 437.
19, 23
What are the prime factors of 9218?
2, 11, 419
List the prime factors of 676.
2, 13
What are the prime factors of 29524?
2, 11, 61
List the prime factors of 155477.
7, 19, 167
What are the prime factors of 78242?
2, 19, 29, 71
What are the prime factors of 3239?
41, 79
What are the prime factors of 61237?
11, 19, 293
What are the prime factors of 863?
863
List the prime factors of 3002.
2, 19, 79
List the prime factors of 6387.
3, 2129
List the prime factors of 4148.
2, 17, 61
List the prime factors of 2200.
2, 5, 11
What are the prime factors of 5447?
13, 419
What are the prime factors of 45934?
2, 7, 17, 193
List the prime factors of 36774.
2, 3, 227
List the prime factors of 18163.
41, 443
What are the prime factors of 63521?
63521
What are the prime factors of 3597?
3, 11, 109
What are the prime factors of 5574?
2, 3, 929
List the prime factors of 629.
17, 37
List the prime factors of 116974.
2, 11, 13, 409
List the prime factors of 8284.
2, 19, 109
List the prime factors of 156748.
2, 149, 263
List the prime factors of 173.
173
What are the prime factors of 4501?
7, 643
List the prime factors of 66157.
7, 13, 727
List the prime factors of 6210.
2, 3, 5, 23
List the prime factors of 3106.
2, 1553
List the prime factors of 555.
3, 5, 37
List the prime factors of 47724.
2, 3, 41, 97
List the prime factors of 1753.
1753
What are the prime factors of 81706?
2, 40853
List the prime factors of 71.
71
What are the prime factors of 23801?
23801
List the prime factors of 2767.
2767
List the prime factors of 884.
2, 13, 17
What are the prime factors of 396?
2, 3, 11
What are the prime factors of 7637?
7, 1091
What are the prime factors of 2501?
41, 61
What are the prime factors of 17826?
2, 3, 2971
What are the prime factors of 15680?
2, 5, 7
What are the prime factors of 1744?
2, 109
What are the prime factors of 2479?
37, 67
What are the prime factors of 7725?
3, 5, 103
What are the prime factors of 5900?
2, 5, 59
List the prime factors of 23.
23
What are the prime factors of 970?
2, 5, 97
List the prime factors of 63727.
63727
What are the prime factors of 6057?
3, 673
List the prime factors of 3250.
2, 5, 13
What are the prime factors of 359?
359
List the prime factors of 817.
19, 43
List the prime factors of 446.
2, 223
List the prime factors of 1089.
3, 11
What are the prime factors of 480?
2, 3, 5
List the prime factors of 7282.
2, 11, 331
List the prime factors of 961.
31
What are the prime factors of 5427?
3, 67
What are the prime factors of 2387?
7, 11, 31
What are the prime factors of 6694?
2, 3347
List the prime factors of 13365.
3, 5, 11
What are the prime factors of 242?
2, 11
List the prime factors of 1783.
1783
What are the prime factors of 19857?
3, 6619
List the prime factors of 7990.
2, 5, 17, 47
List the prime factors of 30444.
2, 3, 43, 59
What are the prime factors of 3399?
3, 11, 103
What are the prime factors of 41387?
41387
What are the prime factors of 131420?
2, 5, 6571
List the prime factors of 22446.
2, 3, 29, 43
List the prime factors of 32675.
5, 1307
What are the prime factors of 159311?
159311
List the prime factors of 3339.
3, 7, 53
List the prime factors of 1952.
2, 61
What are the prime factors of 530?
2, 5, 53
List the prime factors of 216.
2, 3
What are the prime factors of 115?
5, 23
What are the prime factors of 4690?
2, 5, 7, 67
List the prime factors of 489.
3, 163
List the prime factors of 52541.
52541
List the prime factors of 5216.
2, 163
What are the prime factors of 27514?
2, 13757
What are the prime factors of 807?
3, 269
List the prime factors of 11208.
2, 3, 467
What are the prime factors of 16745?
5, 17, 197
List the prime factors of 5966.
2, 19, 157
List the prime factors of 429.
3, 11, 13
What are the prime factors of 577?
577
List the prime factors of 2618.
2, 7, 11, 17
What are the prime factors of 5147?
5147
What are the prime factors of 345?
3, 5, 23
What are the prime factors of 6127?
11, 557
What are the prime factors of 670?
2, 5, 67
List the prime factors of 16653.
3, 7, 13, 61
List the prime factors of 7787.
13, 599
What are the prime factors of 28454?
2, 41, 347
What are the prime factors of 17745?
3, 5, 7, 13
List the prime factors of 1137.
3, 379
List the prime factors of 432.
2, 3
List the prime factors of 3784.
2, 11, 43
What are the prime factors of 14496?
2, 3, 151
What are the prime factors of 1660?
2, 5, 83
What are the prime factors of 1640?
2, 5, 41
List the prime factors of 2107.
7, 43
What are the prime factors of 3681?
3, 409
What are the prime factors of 2788?
2, 17, 41
What are the prime factors of 733?
733
What are the prime factors of 1401?
3, 467
What are the prime factors of 813?
3, 271
List the prime factors of 9392.
2, 587
List the prime factors of 988.
2, 13, 19
What are the prime factors of 106392?
2, 3, 11, 13, 31
List the prime factors of 581.
7, 83
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 25*g*j**2 - 2*j**2*o**2 + 2*j**2 wrt g.
-f*j**2*o**2 + 3*f*j + 25*j**2
What is the third derivative of 1590*r**3 - 1000*r**2 wrt r?
9540
What is the second derivative of -77*u**3*x - 2*u**2*x - 5*u*x + 28*x + 1 wrt u?
-462*u*x - 4*x
What is the second derivative of -39*v**5 - 342*v**2 - 15404*v?
-780*v**3 - 684
What is the second derivative of -734*j**5 + 3*j - 30 wrt j?
-14680*j**3
Find the second derivative of -114*g*y**5 + 4*g*y - 81*g - 7*y**4 wrt y.
-2280*g*y**3 - 84*y**2
What is the second derivative of 16*b**2*x + 2*b*x - 2*x - 33 wrt b?
32*x
Differentiate z**3 + 525*z - 3390 with respect to z.
3*z**2 + 525
What is the second derivative of 18259*s**2 + 7*s - 92 wrt s?
36518
Differentiate -2397*n*p**2*z - p**2*z + 2047*z with respect to n.
-2397*p**2*z
What is the third derivative of -607*x**4 + 1498*x**2?
-14568*x
What is the third derivative of -3424*d*t**5 - 96*d*t**2 + d - t**5 - 4*t**2 wrt t?
-205440*d*t**2 - 60*t**2
Differentiate 6*z**4 - 3*z**3 + 57 with respect to z.
24*z**3 - 9*z**2
Find the second derivative of -2*a**3*h**2*x**3 - 2*a**3*h*x - 5*a**3*x**3 + 94*a**2*h**2*x**3 - 2*a**2*h wrt h.
-4*a**3*x**3 + 188*a**2*x**3
Find the second derivative of 720*j**4 - 466*j wrt j.
8640*j**2
What is the second derivative of 240*v**2 + 475*v - 2 wrt v?
480
What is the second derivative of 26*c*d**3*w + c*d**2*w + 9*c*d*w**2 - 2*c*w + 2*c - 7*d**3*w**2 wrt w?
18*c*d - 14*d**3
Differentiate -29*d*w**2 + 31*w**2 wrt d.
-29*w**2
What is the second derivative of 4*h**3 - 28*h**2*s + 12*h**2 + 647*h*s wrt h?
24*h - 56*s + 24
What is the derivative of b**2 - 14521*b - 14339?
2*b - 14521
What is the derivative of -1003*c**2*h - 1197*c**2 wrt h?
-1003*c**2
Find the second derivative of o**3*t**3 - 78*o**3*t - 135*o*t**3 + 19*t wrt t.
6*o**3*t - 810*o*t
Find the first derivative of -52*p**2 - 43*p - 10461.
-104*p - 43
Differentiate -2*f**2 + f*q*r + 50*f*r - 4*q*r + q + 83 wrt f.
-4*f + q*r + 50*r
What is the second derivative of -183*i**5 + 3*i**4 - 2*i**2 + 35*i + 16?
-3660*i**3 + 36*i**2 - 4
What is the third derivative of 34*b*k*n**3*t - 2*b*k*t - 2*b*n**3*t + b*n**2*t - b*n**2 + 5*k*n**2*t - k*n**2 wrt n?
204*b*k*t - 12*b*t
Differentiate 2*c**3*w - 283*c**3 - 177*c**2*w wrt w.
2*c**3 - 177*c**2
Find the third derivative of -7601*j**3 - 14832*j**2.
-45606
Find the third derivative of -15350*l**3 + 2240*l**2 - 2*l + 1.
-92100
Find the first derivative of -297*a**3 - a**2 - 387 wrt a.
-891*a**2 - 2*a
Find the second derivative of o*v**3 - 3*o*v + o - 2*v**3 + 62*v**2 wrt v.
6*o*v - 12*v + 124
What is the derivative of 3476*z**4 - 1949?
13904*z**3
Find the third derivative of -962*h**4 + 81*h**2 - 2*h wrt h.
-23088*h
What is the second derivative of -2*a**3*c**3 + 142*a**3*c**2 - a**3*c - 9*a**2*c - 5 wrt c?
-12*a**3*c + 284*a**3
What is the derivative of 2*t*w - 35*t - 77*w + 2 wrt w?
2*t - 77
Differentiate -150*d**2*h**3*l - 22*d**2*h**2 + d**2*l + 2*d*h**3 with respect to l.
-150*d**2*h**3 + d**2
Differentiate 309*i**3 + 19*i**2 + 1544.
927*i**2 + 38*i
Find the first derivative of 593*c*p**2 - 14*p**2 - 8*p wrt c.
593*p**2
What is the second derivative of -50*p**2 - 4*p + 2 wrt p?
-100
Find the second derivative of -212*w**3 - w - 113.
-1272*w
Find the second derivative of 881*v**3 + 216*v - 3.
5286*v
Find the second derivative of -2*i**2*p**3*y**3 - 1973*i**2*p*y**3 - 8*i*p**3 + 13*i*p*y**3 - 2*i*y**2 wrt i.
-4*p**3*y**3 - 3946*p*y**3
Find the third derivative of 131*a**3 + 35*a**2 + 3*a wrt a.
786
Find the third derivative of -1178*t**3 + 20295*t**2 wrt t.
-7068
Differentiate 3*l**2*t + 122*l**2 - 2*l - 136*t + 1 with respect to l.
6*l*t + 244*l - 2
Find the third derivative of -m**3*s**3 + 4*m**3*s**2 + 6*m**3 + 4*m**2*s**3 + 4*m*s**4 wrt s.
-6*m**3 + 24*m**2 + 96*m*s
Find the third derivative of 182*p**3 + 508*p**2 wrt p.
1092
What is the third derivative of 9*b**4*w**3 - 10*b**4*w + b**3*w**3 - 2*b**2*w**3 - 2*b*w + 55*w**3 wrt b?
216*b*w**3 - 240*b*w + 6*w**3
Differentiate 2003*v**4 - 5*v**3 - 1320.
8012*v**3 - 15*v**2
Find the second derivative of 4*m**4 - 31*m**2 - 10566*m.
48*m**2 - 62
Differentiate 7*m**2*q + 10*m**2 - 3*m*q**2 + 1819*q**2 with respect to m.
14*m*q + 20*m - 3*q**2
What is the first derivative of 12*q**3 - 12*q**2
|
{
"pile_set_name": "DM Mathematics"
}
|
t(z(s))?
-18*s
Let q(z) = -7*z. Let g(m) = -85*m**2 + 11*m - 39*m + 12*m + 16*m. Determine g(q(i)).
-4165*i**2
Let c(o) be the first derivative of o**5/15 + 14*o**3/3 + 14. Let a(p) be the third derivative of c(p). Let s(x) = x**2. Determine s(a(f)).
64*f**2
Let c(m) = -5*m. Let k(j) = -2*j**2 - 26949*j. What is c(k(z))?
10*z**2 + 134745*z
Let v be 2 - (8/(-4) + 2). Let f(b) = 79*b**v - 36*b**2 - 44*b**2. Let s(i) = -i. What is s(f(n))?
n**2
Let i(m) = 5*m + 6. Let d = -58 - -64. Let b(s) = 4*s + 5. Let k(v) = d*b(v) - 5*i(v). Let q(r) = -6*r. What is k(q(h))?
6*h
Let s(t) = -2*t. Let f(u) = -2*u**2 + 4*u - 27. Let d(v) = -5*v**2 + 9*v - 55. Let x be 18/(4/(-2))*1. Let r(h) = x*f(h) + 4*d(h). Give r(s(b)).
-8*b**2 + 23
Let f(a) = 121*a**2 + 8. Let h(l) = 11*l - 3*l - 8*l - 2*l. What is h(f(j))?
-242*j**2 - 16
Let h(s) = -6*s + 2*s + 3*s. Suppose 3 = z - b, 2*z + 7*b - 3*b = -12. Let q(f) = 0*f - 4*f - 2*f + z*f. What is h(q(y))?
6*y
Suppose 6*j - 7*j + 2 = 0. Let q(g) = 47*g + g**j - 47*g. Let s(y) = -y. Let c(a) = -4*a. Let k(r) = -4*c(r) + 14*s(r). Calculate q(k(i)).
4*i**2
Let i(n) = -3*n**2 + 65*n + 26. Let a be i(22). Let d(l) be the second derivative of -10*l + 0*l**3 + 5/12*l**a + 0*l**2 + 0. Let v(q) = -2*q**2. Give v(d(h)).
-50*h**4
Let j(s) = 3*s**2 + s - 745. Let p(r) = 7*r. Calculate j(p(t)).
147*t**2 + 7*t - 745
Let k(p) = -3*p**2. Let c(y) be the first derivative of 73*y**3/3 - 145. What is k(c(z))?
-15987*z**4
Let u(o) = o**2 - 1. Let d(q) = 5*q**2 - 2. Let s(i) = 2*d(i) - 4*u(i). Let a = 5 + -3. Let w(h) = a*h - 28 + 28. Determine s(w(x)).
24*x**2
Suppose -8 = w + 4*t, -3*w = -5*w - 4*t. Let v(o) = 10*o**2 - 7 - 1 + w. Let g(z) = 2*z**2. Calculate v(g(b)).
40*b**4
Let c(w) = 2*w - 282. Let d(u) = -22*u. What is d(c(z))?
-44*z + 6204
Let i(b) = 646*b**2. Let v(j) = -173*j. Calculate v(i(f)).
-111758*f**2
Let l(q) = -q**2 + 1. Suppose 2*v - 8 + 4 = 0. Let o(x) = -48 + 2*x**v + 48. Give l(o(d)).
-4*d**4 + 1
Let c(t) = -7312*t - 182. Let k(v) = -v. Calculate k(c(i)).
7312*i + 182
Let l(m) = 6*m**2. Let i(n) = -9*n**2 - 6. Let x(h) = 16*h**2 + 11. Let w(g) = -11*i(g) - 6*x(g). Determine l(w(j)).
54*j**4
Let b(q) = -518*q. Let m(h) = -3*h**2 + 5. Calculate b(m(l)).
1554*l**2 - 2590
Let p(n) = -5*n. Let i = 688 - 688. Let v(f) be the third derivative of 0 - 1/8*f**4 + i*f + 0*f**3 + 9*f**2. Determine p(v(z)).
15*z
Let v(x) be the first derivative of 4*x**2 - 783. Suppose 0 = -3*a - a + 12. Let l(u) = -a*u + 2*u**2 + 3*u. What is l(v(s))?
128*s**2
Let g(u) = u**2. Let q(z) = 14838*z + 10. What is q(g(x))?
14838*x**2 + 10
Let m(z) = 2*z. Let s(t) = 746521*t**2. What is m(s(v))?
1493042*v**2
Let x(v) = 3*v. Let f(h) = h. Let u(l) = 8*f(l) - 3*x(l). Let n(q) = -64*q. What is n(u(o))?
64*o
Suppose 4 = 2*c, 3*k + 4*c - 8*c - 19 = 0. Let x(g) = -7 + k*g + 7 + 5*g. Let y(u) = -2*u**2. Give y(x(o)).
-392*o**2
Let r(m) = 20*m**2. Suppose -c + s = 3*s - 12, 2*c + 5*s - 28 = 0. Let x(w) = c*w + 248 - 248. Give x(r(f)).
80*f**2
Let c(f) = 155705*f. Let v(d) = -d**2. What is c(v(m))?
-155705*m**2
Let o(i) = 2*i. Let f be ((-12)/15)/(8/(-20)). Let m(b) = 3 + f*b + 0*b - 3. Give o(m(c)).
4*c
Let o(t) = 404*t**2 - t - 7. Let x(n) = 4*n. What is o(x(j))?
6464*j**2 - 4*j - 7
Suppose 3*l - 2*p - 3188 = -2*l, 4*l - 2540 = -p. Let u(c) = l*c - 636*c - c**2. Let m(k) = k. What is m(u(g))?
-g**2
Let t(v) = 5*v + 2. Let p(u) = -25*u - 11. Let f(c) = 4*p(c) + 22*t(c). Let y(m) = 3*m - 3*m + 2*m. What is y(f(o))?
20*o
Let k(y) = -7*y**2. Let j(m) = -m + 11. Let d be j(8). Suppose -4*w + d*w + 12 = -3*o, 3*o - 15 = 0. Let p(t) = -w*t + 7*t + 18*t. Give k(p(n)).
-28*n**2
Let u
|
{
"pile_set_name": "DM Mathematics"
}
|
4*t
What is the p'th term of -38, -76, -102, -110, -94, -48?
p**3 - 45*p + 6
What is the s'th term of 223, 223, 213, 187, 139, 63?
-s**3 + s**2 + 4*s + 219
What is the k'th term of 9, 24, 51, 90, 141, 204, 279?
6*k**2 - 3*k + 6
What is the y'th term of -21, -19, -7, 21, 71, 149, 261?
y**3 - y**2 - 2*y - 19
What is the c'th term of -11, -12, -17, -26, -39, -56?
-2*c**2 + 5*c - 14
What is the i'th term of 53, 90, 131, 176, 225, 278, 335?
2*i**2 + 31*i + 20
What is the b'th term of 26, 49, 74, 101, 130, 161, 194?
b**2 + 20*b + 5
What is the n'th term of -1, 38, 139, 332, 647, 1114, 1763?
5*n**3 + n**2 + n - 8
What is the n'th term of 233, 225, 211, 191, 165, 133, 95?
-3*n**2 + n + 235
What is the p'th term of 31, 48, 67, 88, 111?
p**2 + 14*p + 16
What is the m'th term of 45135, 45134, 45131, 45126, 45119, 45110, 45099?
-m**2 + 2*m + 45134
What is the d'th term of -42, -178, -404, -720, -1126, -1622, -2208?
-45*d**2 - d + 4
What is the k'th term of -332, -537, -744, -953, -1164?
-k**2 - 202*k - 129
What is the l'th term of 53, 186, 407, 716, 1113?
44*l**2 + l + 8
What is the z'th term of 17723, 17722, 17721?
-z + 17724
What is the q'th term of 16, 3, -34, -107, -228, -409, -662, -999?
-2*q**3 + q + 17
What is the s'th term of -372, -595, -830, -1083, -1360, -1667?
-s**3 - 216*s - 155
What is the b'th term of -32, -33, -34, -35, -36, -37?
-b - 31
What is the k'th term of 2611, 5220, 7829, 10438, 13047?
2609*k + 2
What is the o'th term of 513, 515, 517?
2*o + 511
What is the k'th term of -77, -75, -73, -71, -69?
2*k - 79
What is the z'th term of -54, -56, -58, -60, -62?
-2*z - 52
What is the b'th term of -150, -165, -180, -195?
-15*b - 135
What is the u'th term of 739, 777, 817, 859?
u**2 + 35*u + 703
What is the m'th term of 227, 339, 533, 815, 1191?
m**3 + 35*m**2 + 191
What is the b'th term of -659, -658, -657, -656, -655, -654?
b - 660
What is the b'th term of -139, -165, -207, -265, -339, -429?
-8*b**2 - 2*b - 129
What is the x'th term of -86, -98, -124, -170, -242, -346, -488, -674?
-x**3 - x**2 - 2*x - 82
What is the u'th term of 24, 46, 90, 162, 268, 414, 606, 850?
u**3 + 5*u**2 + 18
What is the b'th term of 7, 33, 59, 85, 111?
26*b - 19
What is the i'th term of 1, 24, 75, 160, 285?
i**3 + 8*i**2 - 8*i
What is the v'th term of -5, -5, -1, 7, 19, 35?
2*v**2 - 6*v - 1
What is the q'th term of -12, -46, -116, -240, -436, -722, -1116?
-3*q**3 - 13*q + 4
What is the g'th term of -14, -26, -38, -50, -62, -74?
-12*g - 2
What is the h'th term of -738, -737, -736, -735, -734, -733?
h - 739
What is the l'th term of 532, 1052, 1546, 2002, 2408, 2752, 3022, 3206?
-2*l**3 - l**2 + 537*l - 2
What is the m'th term of -541, -531, -515, -493?
3*m**2 + m - 545
What is the f'th term of 0, 5, 12, 21, 32, 45?
f**2 + 2*f - 3
What is the p'th term of 6, 35, 54, 57, 38?
-p**3 + p**2 + 33*p - 27
What is the h'th term of -205, -195, -177, -151, -117?
4*h**2 - 2*h - 207
What is the r'th term of -1299, -1298, -1297, -1296, -1295, -1294?
r - 1300
What is the y'th term of 2300, 4604, 6912, 9224, 11540?
2*y**2 + 2298*y
What is the g'th term of -69, -142, -215?
-73*g + 4
What is the w'th term of 40, 101, 164, 229?
w**2 + 58*w - 19
What is the i'th term of 67, 124, 181?
57*i + 10
What is the n'th term of 108, 191, 288, 405, 548, 723?
n**3 + n**2 + 73*n + 33
What is the m'th term of 345, 693, 1041, 1389, 1737, 2085?
348*m - 3
What is the p'th term of -4543, -4540, -4537, -4534, -4531, -4528?
3*p - 4546
What is the c'th term of -19, -7, 31, 107, 233, 421, 683, 1031?
2*c**3 + c**2 - 5*c - 17
What is the y'th term of -32, -6, 6, -2, -36, -102?
-y**3 - y**2 + 36*y - 66
What is the q'th term of -12, -25, -54, -105, -184, -297?
-q**3 - 2*q**2 - 9
What is the x'th term of -5, -25, -53, -83, -109, -125?
x**3 - 10*x**2 + 3*x + 1
What is the v'th term of 16484, 32965, 49448, 65933, 82420, 98909, 115400?
v**2 + 16478*v + 5
What is the x'th term of 2948, 2946, 2944, 2942, 2940, 2938?
-2*x + 2950
What is the c'th term of 80, 293, 640, 1121, 1736?
67*c**2 + 12*c + 1
What is the t'th term of -14, -11, -8, -5, -2, 1?
3*t - 17
What is the o'th term of 103, 102, 101, 100, 99, 98?
-o + 104
What is the n'th term of 46, 111, 212, 367, 594, 911, 1336?
3*n**3 + 44*n - 1
What is the l'th term of 42, 33, 18, -
|
{
"pile_set_name": "DM Mathematics"
}
|
Let p = 1465.2 - 1465. Let w be ((-4)/(-16))/(1/8). Suppose 5*j = -22 + w. Which is the smallest value? (a) j (b) p (c) -6
c
Let w = -0.33 - -19.33. Let o = w - 19.3. Suppose 5*d - 11 = -4*f + 14, 3*f = -2*d + 10. What is the second smallest value in 0, d, o?
0
Let r = -47419/42 - -1129. Let n = 27 - 23. Which is the second smallest value? (a) -0.3 (b) r (c) n
b
Let b = 23 + -48. Let g = -25 - b. Let t = -3 - g. What is the third smallest value in t, 0.7, -3/4?
0.7
Let z = -11746/555 - -788/37. What is the third smallest value in z, 10.81, -4?
10.81
Let h = -59.737 - -60. Let o = h - 0.26. Let g = -4.003 + o. Which is the fourth smallest value? (a) 2/7 (b) g (c) 1 (d) -1/10
c
Let b = 430 - 393.7. Let m = -36.6 + b. Let w = -0.3 + 1.3. What is the smallest value in w, -1/13, m?
m
Let c = -73 - -84. Let t = 9.1 - 14.1. What is the third biggest value in 5, -1, t, c?
-1
Let q = -11 - -23. Let u = -7 + q. Let j = -1596 - -17552/11. Which is the biggest value? (a) u (b) j (c) 2
a
Let m(p) = p**3 + 7*p**2 - 15*p - 21. Let x be m(-9). Let n be ((-2)/8)/(x/64). What is the second biggest value in n, 0.3, -1/6?
0.3
Let s = -1142/3 - -400. Let l = -113/6 + s. Which is the second smallest value? (a) -2 (b) -0.4 (c) l
b
Let j = 5296 + -5298. Which is the third biggest value? (a) 2 (b) 3/7 (c) j (d) 4 (e) -0.4
b
Let f = 55 - 54.7. Let k = -6 - -5.6. Let w = 795/4 + -199. Which is the biggest value? (a) -4/3 (b) f (c) w (d) k
b
Let f = -5918 - -5916. What is the second biggest value in f, -27/5, -5?
-5
Let m = -0.04185 - -0.02685. Which is the biggest value? (a) 9 (b) m (c) 2/5
a
Let l = -0.02 + 0.52. Let t = -16 + 58. Let q = -8961 - -8960. Which is the biggest value? (a) t (b) l (c) q
a
Let w = -0.3404 - -0.4304. Which is the second biggest value? (a) -12 (b) -3/7 (c) w
b
Let s = 133/22 - 61/11. Let p = -0.01 - 0.04. Which is the second biggest value? (a) p (b) 1/3 (c) s
b
Let m = -1.161 + 6.161. Which is the second biggest value? (a) m (b) 3 (c) 0.05 (d) 11
a
Let x be ((-120)/132)/(10/(-44)). Which is the biggest value? (a) 69 (b) 0.6 (c) x
a
Suppose -61*t = -5*t + 112. Which is the fourth biggest value? (a) 34 (b) -5 (c) -0.4 (d) t
b
Let v = 465/3656 - 1/457. Let m = 80/3 + -26. Let q = 11 + -9. Which is the fourth smallest value? (a) q (b) v (c) 4 (d) m
c
Let d be ((-198)/9 - -18)/(1/5 + -1). What is the biggest value in 43/5, d, -2/15?
43/5
Let z = 6.68 + -10.68. Let m = -8 - -2. Let r = 6.4 + m. What is the second smallest value in z, r, 0.5?
r
Let n = 15.795 - 15.195. Which is the second smallest value? (a) n (b) -1 (c) 3 (d) -114
b
Let q = -126 + 8. Let d = -123 - q. What is the third biggest value in 0.1, d, -0.1, 42?
-0.1
Let x = 1971 - 1970.9. Which is the third biggest value? (a) x (b) 7/8 (c) 3 (d) -4
a
Suppose -43*h + 556 - 156 = -143*h. Let q be (3/10)/(84/70). Which is the fourth smallest value? (a) h (b) -0.4 (c) 0.5 (d) q
c
Let l = -86 + 86.13. Let q = -0.025 + -0.205. Let g = l + q. Which is the second smallest value? (a) -1 (b) -3 (c) g
a
Let y = 2963 + -927416/313. Let t = 304/939 + y. Which is the second smallest value? (a) 33 (b) -1 (c) t
c
Suppose 53*p = 50*p - 12*x + 39, 0 = x - 4. Let f be 15/(-108) - 1/(-4). Which is the biggest value? (a) f (b) -1 (c) 0.2 (d) p
c
Let p(f) = 12*f**2 + 41*f - 27. Let i be p(-4). Which is the third biggest value? (a) -10/41 (b) -2 (c) i
b
Let q = 2.97 - -0.03. Let n = -67097/2 - -33548. Let v = 0 + 0. What is the biggest value in n, q, v?
q
Let h = 1.323 - 1.36. Let s = h - -0.937. What is the smallest value in 1/6, -1, 1, s?
-1
Suppose 2*v = 2999 - 2981. Which is the fourth smallest value? (a) 0 (b) 1/6 (c) -1 (d) v
d
Let t be 550/693 + (-16)/28. Which is the smallest value? (a) -14 (b) 2 (c) t (d) -1/6
a
Let m = -32.201 + 32.6. Let t = m + -0.699. What is the second smallest value in 0.5, 62, t?
0.5
Let p be (84/(-840))/(1/(-4)). What is the fourth smallest value in 0, 0.1, 1/4, 6.01, p?
p
Let i = 0.319 - -0.093. Let m = -0.012 + i. Let s = -25 + 31. Which is the second biggest value? (a) m (b) s (c) -3
a
Let p = 1.913 + -3.913. Let r(u) = u**2 + u + 1. Let v be r(-2). Suppose z - 8 = -v*z. Which is the biggest value? (a) p (b) 0.1 (c) 4 (d) z
c
Suppose -18 = -3*w - 2*l, -469 = -3*l - 460. Let z be 18/(-45) + (-47)/(-30). Let o = -3/2 + z. What is the biggest value in o, -14
|
{
"pile_set_name": "DM Mathematics"
}
|
= 38 - 37. Differentiate 2 + 6*l**3 + 7*l**3 + r with respect to l.
39*l**2
Find the third derivative of 76804 - 372*x**2 - 76804 - 179*x**6 wrt x.
-21480*x**3
Let y(s) be the first derivative of -s**6/3 + 163*s**4/4 + 201*s**2/2 + 49. Find the second derivative of y(p) wrt p.
-40*p**3 + 978*p
Differentiate -10*m + 10714*m**2 - 10716*m**2 + 450 + 123 with respect to m.
-4*m - 10
Let j(i) = -i**2 + 10*i - 9. Let r be j(8). Find the second derivative of 9*z - r*z**5 - 4*z**5 + 4*z**5 wrt z.
-140*z**3
Suppose 15 = 5*m - 0*m. Suppose 2*w + m*x + 3 = -5, -4*x - 6 = 5*w. Find the third derivative of -4*v**4 + w*v**4 - 4*v**4 + 2*v**2 + 4*v**4 wrt v.
-48*v
Differentiate 1080*c**3 - 105*c**4 + 1082*c**3 - 2162*c**3 - 18 + c with respect to c.
-420*c**3 + 1
Let b = -35 - -40. Find the third derivative of 5*n**5 + n**2 + b*n**5 - 4*n**5 + 0*n**2 wrt n.
360*n**2
What is the second derivative of -176*q**4 + 9*q**4 - 154*q + 866*q + 34*q wrt q?
-2004*q**2
Let x(g) be the first derivative of -g**5/60 + 3*g**4/8 + g**2/2 - 11. Let d(q) be the second derivative of x(q). What is the second derivative of d(z) wrt z?
-2
Suppose u = 2*p - 4, u = -3*p + 5*u + 1. What is the third derivative of -11*b**4 + 50*b**2 - p*b**4 - 6*b**4 + 4*b**4 wrt b?
-384*b
Let d(j) = -137*j + 132. Let l(o) = 137*o - 133. Let t(u) = -2*d(u) - 3*l(u). What is the first derivative of t(v) wrt v?
-137
Let f(n) be the first derivative of n**6/20 + n**4/2 + 2*n**2 + 7. Let b(w) be the second derivative of f(w). Find the second derivative of b(v) wrt v.
36*v
Let s(o) be the third derivative of 29*o**8/168 - 37*o**4/24 + 35*o**2 - o. Find the second derivative of s(v) wrt v.
1160*v**3
Let v(b) be the third derivative of -23*b**6/30 - 7*b**5/4 + 13*b**2 - 2*b. Find the third derivative of v(j) wrt j.
-552
Let o(d) = 2*d - 11. Let l be o(7). Suppose 0 = l*j - 2*j + 2*r + 8, -j + r = -7. Find the first derivative of 0 + j*s**2 + 6*s**2 + 2 wrt s.
16*s
Suppose 3*j - 7*j + 8 = 0. Suppose 3*d - j*d = 2. What is the derivative of -3*m**4 - 1 + d + 2*m**4 + 5 wrt m?
-4*m**3
Let s(r) = -145*r**3 - 2*r**2 - 8. Let g(u) = 217*u**3 + 4*u**2 + 13. Let y(m) = -5*g(m) - 8*s(m). What is the third derivative of y(c) wrt c?
450
Find the third derivative of -3 - 150*l**2 + 35*l**2 + 34*l**2 + 53*l**2 - 423*l**3 wrt l.
-2538
Let s = 546 - 542. Let t(k) be the first derivative of -k - 11/3*k**3 + s + 0*k**2. Differentiate t(u) wrt u.
-22*u
Suppose 2*j = -j - 5*y + 24, -3*j + 2*y + 3 = 0. What is the derivative of j + 13*x + 19*x - 16*x wrt x?
16
Let x(b) = -237*b**3 + 4*b + 52. Let n(a) = -709*a**3 + 11*a + 157. Let p(z) = -4*n(z) + 11*x(z). Differentiate p(i) with respect to i.
687*i**2
Let k(m) be the first derivative of -m**6/90 + m**4/4 + 8*m**3/3 + 9. Let v(z) be the third derivative of k(z). What is the first derivative of v(g) wrt g?
-8*g
Suppose 0 = 5*c + 2*p - 93, 7*c - 47 = 4*c + p. Let o = -9 + c. What is the first derivative of o*k**4 + 8*k - 12 - 8*k + 0*k wrt k?
32*k**3
Let u(z) be the second derivative of -41*z**5/20 - 19*z**3/6 - 3*z**2/2 + 14*z - 6. Find the second derivative of u(o) wrt o.
-246*o
Let n(v) be the third derivative of -v**7/105 - 49*v**4/12 - 31*v**3/3 + 112*v**2. What is the derivative of n(u) wrt u?
-8*u**3 - 98
Suppose d = 4*l + 2*d - 9, 0 = 4*l - d + 1. Suppose 2*q - 5 = l. Find the second derivative of -54*p**q + 54*p**3 + 2*p**5 - 3*p wrt p.
40*p**3
What is the third derivative of -36*d**3 - 18*d**3 - 8*d**3 - 446*d**2 + 396*d**2 wrt d?
-372
Let m = -57 - -61. Let q(b) = -20*b + 6. Let k(n) = -20*n + 6. Let t(f) = m*q(f) - 3*k(f). What is the derivative of t(v) wrt v?
-20
Let a(n) be the second derivative of -7*n**6/6 + n**3/3 + 65*n**2/2 - 26*n + 2. What is the derivative of a(j) wrt j?
-140*j**3 + 2
Let c(m) = 2*m**2 - 4*m - 1. Let x be c(3). Let t be 2/x - 13/(-5). What is the first derivative of 4 + 0 - 4*y**4 - t + 0*y**4 wrt y?
-16*y**3
Let z(p) = -382*p + 1244. Let n(h) = -574*h + 1865. Let m(t) = -5*n(t) + 7*z(t). What is the first derivative of m(l) wrt l?
196
Let x(m) be the second derivative of 0 + 0*m**2 - 17/12*m**4 - 9*m + 8/3*m**3. What is the second derivative of x(y) wrt y?
-34
Let m(v) be the second derivative of 5/21*v**7 + 0*v**4 + 0 + 10*v + 7/3*v**3 + 0*v**2 + 0*v**5 + 0*v**6. Find the second derivative of m(w) wrt w.
200*w**3
Let t(z) = -15*z + 20. Let j(k) = 16*k - 19. Let w = 16 + -14. Let b(l) = w*j(l) + 3*t(l). Differentiate b(y) with
|
{
"pile_set_name": "DM Mathematics"
}
|
st value in 1/10, -1/4, 2, -9, 0.4?
1/10
Which is the fourth smallest value? (a) 5 (b) 0.5 (c) -1 (d) 0.4 (e) -89/2
b
What is the fourth smallest value in -3, -3/4, 5.4, -2/5?
5.4
Which is the second smallest value? (a) 2 (b) 3 (c) -17
a
What is the second biggest value in 0.05, 37, 1/9?
1/9
Which is the smallest value? (a) 2/15 (b) 8 (c) 3
a
Which is the third smallest value? (a) -247 (b) 2 (c) -0.1
b
Which is the fourth smallest value? (a) -2/3 (b) 52 (c) -1/3 (d) 4 (e) -1/5
d
What is the second smallest value in 3/2, -87, 1/10, 1/3, 2/11?
1/10
Which is the biggest value? (a) 5 (b) -1/21 (c) -1.3 (d) 0.1
a
Which is the third smallest value? (a) -5 (b) -2 (c) 0.056 (d) -3/10 (e) -3
b
Which is the biggest value? (a) 44 (b) 2/5 (c) 2 (d) -8
a
What is the fourth smallest value in -7, 3/7, -2/39, -6?
3/7
What is the fifth biggest value in -0.3, -4, 4, 1/2, 2/7?
-4
Which is the third biggest value? (a) -2 (b) -1/5 (c) -6 (d) 4
a
What is the smallest value in 2/5, -5, -1/4?
-5
What is the biggest value in -6, 3/4, -0.02?
3/4
What is the fourth smallest value in 2, -3, -0.2, 4, 5/2?
5/2
What is the second smallest value in -1, -0.03, 2/13?
-0.03
What is the smallest value in -15, -1, -2, 0.2?
-15
Which is the smallest value? (a) 1 (b) -2 (c) 1/5 (d) -18691 (e) 0.1
d
Which is the third biggest value? (a) -25 (b) 0.2 (c) -11/6 (d) -0.2
c
Which is the third smallest value? (a) 6 (b) 0 (c) 0.4 (d) -5/3
c
What is the second smallest value in 3075, 2, 3?
3
What is the smallest value in 1, -0.5, 300, 3?
-0.5
Which is the fourth biggest value? (a) 45 (b) 0.1 (c) -5 (d) 3/5
c
Which is the third smallest value? (a) -3 (b) -2/27 (c) -0.2
b
Which is the second smallest value? (a) 1/3 (b) -2/13 (c) -18 (d) 5/2
b
Which is the second smallest value? (a) 3/4 (b) 6302 (c) -3/7
a
What is the smallest value in 0.2, -0.443, -1?
-1
Which is the third smallest value? (a) -1/3 (b) -0.4 (c) 4 (d) -7
a
Which is the second biggest value? (a) -3 (b) 2 (c) 43 (d) 4
d
What is the biggest value in -3, 33/4, 3?
33/4
What is the second smallest value in 3, -3, -1244/3?
-3
Which is the second smallest value? (a) -1/2 (b) -0.4 (c) -1/6
b
What is the second biggest value in -154, 1/3, 0.06?
0.06
Which is the fifth smallest value? (a) -2/3 (b) 0.08 (c) 15 (d) -4 (e) -2/9
c
What is the third smallest value in -1/4, -1.4, -0.7, -2, -0.5?
-0.7
What is the smallest value in 1.88, 5, 2/7?
2/7
Which is the fourth biggest value? (a) -516 (b) -0.7 (c) 4 (d) 1/3
a
Which is the second smallest value? (a) 0.0717 (b) 0.1 (c) -0.2
a
What is the third smallest value in 4, -2, -0.5, -2/1825, 0.3?
-2/1825
Which is the third biggest value? (a) -0.2 (b) -295 (c) -5/3
b
What is the second smallest value in 810, 2/13, -0.4?
2/13
What is the smallest value in 1/54, -12, -1, -5?
-12
Which is the second biggest value? (a) -30.48 (b) -2/3 (c) 0.2 (d) -3/7
d
What is the second smallest value in -0.12, 43, -12/7?
-0.12
What is the second biggest value in 0, -68, -0.1?
-0.1
Which is the second biggest value? (a) 0 (b) 2/3 (c) 7 (d) 4/3
d
What is the biggest value in -2/19, -0.2, -1, 12?
12
What is the third biggest value in -5, 3/11, -1, -0.5?
-1
What is the biggest value in -0.26, -0.1, -5?
-0.1
What is the fourth biggest value in -4, 825, 4, -2/17?
-4
What is the smallest value in 2/3, -14, 5/6?
-14
What is the third biggest value in 3, 2.37, 4, -2?
2.37
Which is the third smallest value? (a) -9/7 (b) 0 (c) -14 (d) 3
b
What is the second biggest value in -0.129, -2, 4?
-0.129
What is the second biggest value in 0.1, 1, -5?
0.1
Which is the second biggest value? (a) -0.2 (b) -4 (c) -151 (d) -0.1
a
What is the fourth biggest value in 0.3, -0.29, 0.5, 48?
-0.29
What is the fifth biggest value in 1, -5, -3/5, -9, 1.5?
-9
Which is the second biggest value? (a) -43 (b) 3 (c) -2 (d) 4
b
Which is the third smallest value? (a) -18 (b) 0.5 (c) -1 (d) 3 (e) 1
b
Which is the third biggest value? (a) 2.1 (b) -9/4 (c) 0.2
b
What is the second smallest value in 0.01, -5, -2/7, -2/5?
-2/5
Which is the fourth smallest value? (a) 0.5 (b) 1/3 (c) 25 (d) 1
c
Which is the second biggest value? (a) 0.4 (b) -5 (c) -3
c
Which is the third biggest value? (a) -2 (b) -5 (c) -2/5 (d) -0.3
a
Which is the third biggest value? (a) 21
|
{
"pile_set_name": "DM Mathematics"
}
|
ominator of l and 16.
6
Let p = 50 + -30. Let i = 220 + -221. Calculate the smallest common multiple of p and 20 + (-6 - ((3 - 4) + i)).
80
Suppose 104 = 4*m + 96. Let p(c) = 2*c**3 - 2*c**2 - 4*c + 4. Calculate the least common multiple of 32 and p(m).
32
Let a(y) = -y**2 + 15*y - 22. Let x(z) = z + 1. Let c(r) = a(r) - 4*x(r). Calculate the lowest common multiple of c(7) and 20.
20
Let a be (2520/(-52))/(-3) + 4/(-26). Suppose 10*y - 2*y = a. Calculate the smallest common multiple of y and 5.
10
Suppose 7 = 5*i - 18. Suppose f - 5*f = 5*y - 30, -25 = -5*y - i*f. Calculate the least common multiple of y and 6.
30
Suppose 4*z = 4*w + 4, -2 + 18 = -2*z - 4*w. Let c be (1 + -2)/(z/332). Calculate the common denominator of (-6)/66*c/(-4) and 43/18.
198
Let s(r) = 1. Let y(m) = -m + 1. Let x(g) = -6*s(g) + 7*y(g). Let k be 2/24 - 689/636. What is the smallest common multiple of 1 and x(k)?
8
Let b = -1/34139069 - 804418882627/7510595180. Let n = b + 542/5. What is the common denominator of -81/4 and n?
44
Suppose 0 = -4*d + d - 9. Let x be (d/(-10))/((-12735)/(-12)). Let y = -841913/42450 - x. What is the common denominator of y and -47/18?
18
Let a = 89 - 77. What is the smallest common multiple of a and 8?
24
Calculate the common denominator of 4 + (-4)/14 + 4/(-21) and -39/14.
42
Let u = 20 - 35. Calculate the common denominator of -2 + ((-2)/u - 143/10) and 15/31.
186
Calculate the common denominator of ((-231)/(-918) + (-14)/63)*-58 and -18.
17
Suppose -5*f = -2*f. Suppose j - 3*o = -11, f = -2*j - 2*o - o + 14. What is the least common multiple of ((-33)/44)/(j/(-8)) and 2?
6
Let v = -1408/3 - -57512/123. Let c = -2401/410 - v. Calculate the common denominator of c and -53/56.
280
Let f be -4 - (126 - -5) - -2. Calculate the common denominator of -1/16 and f/(-308) + (-20)/8.
176
Find the common denominator of -79/2 and (1/((-6)/(-68)))/((-26988)/234).
346
Let i = 21 - -12. Let o(r) = r**2 + 2*r + 2. What is the smallest common multiple of o(-2) and 374/i - 4/(-6)?
12
Suppose 2*r = 29 - 9. Let v(d) be the third derivative of d**5/60 - 3*d**4/8 - 11*d**2. Calculate the smallest common multiple of v(11) and r.
110
Let c be (146/(-2))/((-8)/(-16)). Find the common denominator of (-41)/(-20) + (-6)/(-2) and c/24 + 3/9.
20
Let f be 2 + 1/(-1 + 0). Let q be (-40*f)/(1 + 0). Calculate the common denominator of 3/q*(-82)/(-6) and -75/14.
280
Let b be 4*(0 + -2)/2. Let i(s) = 2*s**2 + 4*s - 2. Let w(q) = -2*q + 10. Calculate the lowest common multiple of i(b) and w(-5).
140
Calculate the common denominator of (-2)/((-4)/10) + 7843/(-744) and 67/5*2/6.
120
Calculate the common denominator of -2*44/12*9/24 and (42/360)/(2/(-42)).
20
Let n(q) = q**3 + 11*q**2 - 12*q + 4. Let s be n(-12). Suppose 0 = -s*o - 0 + 8. Calculate the lowest common multiple of 11 and o.
22
What is the common denominator of ((-52)/105)/((2565/75)/(-19)) and -22/147?
1323
Let d = -2/48263 + -275371/289578. Find the common denominator of -32/119 and d.
714
Suppose -2*w = -0*w - 12. What is the least common multiple of w and (-3)/(3/(-5))*(-26)/(-65)?
6
Let p be ((-6)/18148)/((60/(-4604))/(-5)). Let i = p - -4/349. Calculate the common denominator of i and -89/6.
78
Let z = -8059 - -1635986/203. Calculate the common denominator of z and 79/232.
1624
Let q = -1 + 71. Calculate the least common multiple of 5 and (4 - -1)*84/q.
30
Suppose d + w = 16, -d - 4*d + 3*w + 40 = 0. Suppose -5*p - 2*y = -4*p + 1, -3*p - 5*y = 4. Let z = p + d. Calculate the common denominator of -56/9 and z.
9
Let a(x) = -4*x**2 - 177*x - 42. Suppose -3*b + 0*b + 3 = 0. Calculate the least common multiple of b + 1 + 9 + -2 and a(-44).
18
Let n(a) = -a**3 - 4*a**2 - 6*a - 7. Let g(l) = 3*l**2 + 9*l + 7. What is the lowest common multiple of g(-3) and n(-3)?
14
Suppose 16*h - 10*h + 48 = 0. Let f(x) = x**3 + 8*x**2 - 4*x. What is the lowest common multiple of f(h) and 10?
160
Let g(z) = -z**3 - z**2 - 5*z - 3. Let x be g(-3). Let f be 64/x + 6/(-45). What is the common denominator of 143/20 - f/8 and -89/6?
30
Find the common denominator of (-215)/(-20)*16/(-42) and -103/78.
546
Let y = 293 + -283. Calculate the smallest common multiple of y and 257.
2570
Suppose 0 = 2*f + f. Suppose 3*g = -f*g - 2*y + 50, -4*y = 20. Suppose 3*x - 40 - g = 0. Calculate the least common multiple of 18 and x.
180
Let a be -2*(-3)/(-2) + 1. Calculate the common denominator of 17/(-2) - a*(-6)/(-4) and -87/8.
8
Suppose 3*h + 0*u - 26 = -5*u, -u = -4*h + 50. Let o be -13 - (-12)/(h/3). Let n = 20 + o. Calculate the lowest common multiple of 1 and n.
10
Let w be 40/6*18/12. Suppose -14*y = -13*y + w. Let c = y + 34. What is the smallest common multiple of 12 and c?
24
Find the common denominator of -17/30 and 1*5 - (5 - (-1027)/(-1170)).
90
Let j(h) = h**3 - 4*h**2 - 3*h - 4. Let u(f) = -2*f**2 - 20*f - 5. Calculate the smallest common multiple of j(5) and u(-2).
54
Suppose -71*p + 75*p - 4*f = 272, 0 = -3*p + 5*f + 212. Calculate the lowest common multiple of 192 and p.
192
Let o = -60 + 68. Calculate the lowest common multiple of 4 and o.
8
Suppose j = 2*u + 20, -u = 2*j + j - 53. Suppose d + j = 46. What is the smallest common multiple of d and 22?
308
Let m be 4 + -6 + (2 - -3). Suppose -3 = -m
|
{
"pile_set_name": "DM Mathematics"
}
|
0 = -8*u + 11596 - 3324. Suppose -618 = 3*d - 2*t, 4*t + u = -5*d + 6*t. Let b = -18 - d. Does 19 divide b?
True
Let c(s) = -2*s**3 + 6*s**2 + 3*s + 5. Let a be c(4). Let q(p) = -24*p - 50. Does 31 divide q(a)?
True
Let r be (-1 - -5) + (-6 - (5 - 372)). Suppose -8*m + 10*m - 3*a - 141 = 0, 5*m + 5*a - r = 0. Is m a multiple of 6?
True
Let u be (-464)/(-6) - (16/12 + -1). Let w = u - 25. Suppose r + 5*k = k + w, 0 = -3*r + 2*k + 128. Is r a multiple of 18?
False
Let s = 80 + -77. Suppose -u - o = -54, -4*o - 3 = -s*u + 138. Is u a multiple of 8?
False
Suppose -11*j + 18 = -2*j. Suppose 7 = j*o - 0*r + r, 12 = 3*o + 3*r. Suppose -5*n + 82 = d, o*d - 107 = -5*n + 159. Is d a multiple of 18?
False
Suppose 4*z - 142 = -3*h + 1090, 0 = -5*h - 5*z + 2050. Does 3 divide h?
True
Let q(h) = h**3 + 17*h**2 + 9*h + 165. Is 150 a factor of q(15)?
True
Suppose 2*f + 0*u + u + 8 = 0, f - 7 = 5*u. Let o(g) = 8*g + 46. Let l be o(-6). Is l + 20 + f + 6 a multiple of 3?
True
Suppose -49023 + 144027 = 28*b. Is 23 a factor of b?
False
Let n = 224 + 760. Is n a multiple of 82?
True
Let g(u) be the second derivative of 25*u**4/12 + u**3/2 + 3*u**2/2 + 8*u + 5. Does 68 divide g(-2)?
False
Suppose -3144*j - 95 = -3139*j. Let v(r) be the first derivative of -r**3/3 - 21*r**2/2 + 14*r + 3. Does 26 divide v(j)?
True
Suppose -3*h + 310 = 7*h. Suppose -4*c - 154 = -3*o, -h - 21 = -o + 2*c. Is 10 a factor of o?
True
Let w(o) = -5*o**2 + 23*o - 17. Let f be w(8). Let a = 241 + f. Does 11 divide a?
True
Let n(s) = -49*s**2 + 1. Let j be n(-1). Let y = 32 + j. Let f = y + 133. Is 16 a factor of f?
False
Let k be -4 + 9 + (-1 - 4). Suppose -4*m - 3*u + 272 = 0, -u + 240 = 3*m + 36. Suppose 4*o = -k*o + m. Does 2 divide o?
False
Let n = 19742 + -6198. Is 60 a factor of n?
False
Let q(r) = 2*r**2 - 15*r - 13. Let l(t) = -37 + 14*t - 16*t + 14*t. Let h be l(4). Does 8 divide q(h)?
True
Suppose w - 225 = -2*u, -4*w + 624 = 4*u - 252. Does 2 divide w?
False
Let d be (-5 - (-5)/3)*-36. Let a = d - 107. Is a a multiple of 2?
False
Suppose 388 = -4*j + 4*r, 3*j - r = 7*j + 398. Let a = j - -128. Does 5 divide a?
False
Let g = -14168 + 15706. Is g a multiple of 2?
True
Let u = -6616 - -7100. Is 10 a factor of u?
False
Let d(m) = -m**2 + 8*m - 11. Let w be d(2). Let h be w + -3 - -5 - (13 + -1). Let j(t) = 2*t**2 + 7*t - 5. Is 7 a factor of j(h)?
False
Let o(z) = 3*z**2 + 29*z - 5. Suppose 4*p + 55 = -5*w, 2*p + 22 = -5*w - 13. Let j be o(p). Suppose -8*m + j*t = -5*m - 250, -80 = -m + t. Is 4 a factor of m?
False
Suppose 3*b + 3*b = 24. Let m(j) = -b - 243*j - j**2 + 0*j**2 + 234*j. Is 2 a factor of m(-7)?
True
Suppose 0*t - 48 = 18*t + 6*t. Let q(p) = -206*p - 13. Let y(f) = 103*f + 7. Let n(z) = -3*q(z) - 7*y(z). Is n(t) a multiple of 10?
False
Is 12/(-27) - 42929488/(-1764) a multiple of 156?
True
Let g = -4855 + 8713. Is g a multiple of 37?
False
Let p = -393 + 692. Let a = 329 - p. Does 10 divide a?
True
Let j be ((-3)/2)/((-141)/470). Let t(c) = -12*c**2 + 83*c + 6. Does 3 divide t(j)?
False
Let i(y) = 3*y**3 - 38*y**2 + 8*y - 223. Is i(19) a multiple of 53?
False
Let u(f) = f**3 - 8*f**2 - 37*f + 256. Let l be u(9). Suppose 2 = 2*b + 2*o, 5*o = -2*b + 7*b - 5. Does 13 divide ((-78)/(-24))/(1/l*b)?
True
Let d(q) = -q**3 - 14*q**2 - 58 + 105 - 71 - 12*q. Does 48 divide d(-14)?
True
Let c(z) = 2*z**2 - 2*z + 9. Let u(k) = -k**2 + k - 2. Let p(w) = -c(w) - 4*u(w). Does 2 divide p(-2)?
False
Let f = 117619 + -82287. Is f a multiple of 14?
False
Let z(k) = k**3 + 6*k**2 - 2*k - 12. Let c be z(-5). Suppose -g - 22 + c = 0. Suppose -3*m - 13 = -g, -2*m = -4*n + 152. Is 8 a factor of n?
False
Let r(x) = -36*x - 73. Let h be r(-3). Suppose 0 = 8*w - h - 949. Is 3 a factor of w?
True
Suppose 2*o + 301 = 311. Suppose 73 = o*v + 4*x - 211, 0 = -v + x + 55. Is v a multiple of 40?
False
Let x = 18 - -26. Let l(k) = 2*k**2 + k - 259. Let q be l(-11). Let j = x - q. Is j a multiple of 23?
False
Let o(j) = -8*j - 127. Let t(y) = 7*y + 128. Let c(s) = -6*o(s) - 5*t(s). Does 41 divide c(19)?
True
Let n(i) = -i**3 + 38*i**2 - 95*i + 221. Is 11 a factor of n(26)?
True
Let s = -122 + 123. Let l(c) = -7 - 4*c + 6*c - 4 + s + c**2. Is 38 a factor of l(-8)?
True
Suppose 5*u + 5 - 25 = 0. Suppose 13*l - 396 = u*l. Let y = l - -17. Is y a multiple of 9?
False
Suppose 2*t - 2124 = 1468. Suppose 3*y - 505 - t = 0. Is y a multiple of 8?
False
Suppose -382
|
{
"pile_set_name": "DM Mathematics"
}
|
g order.
r, -2/9, a
Let z be -2 - (0 - -1)/(3/(-12)). Put 5, z, -1, -25 in increasing order.
-25, -1, z, 5
Let i = -271/7 + 39. Put -3, i, -4 in descending order.
i, -3, -4
Let d = 9 + 3. Let a be 2/6 - 19/d. Let s = 63.8 - 61.8. Put a, 0, s in decreasing order.
s, 0, a
Let w = 2 - 7. Sort w, -6.6, -0.1, -0.4 in decreasing order.
-0.1, -0.4, w, -6.6
Let s be 150/2 - 30/10. Sort 3, 1, s in increasing order.
1, 3, s
Let v = -541 + 544. Sort -8, -3, 2, v in decreasing order.
v, 2, -3, -8
Let z = -166 + 163. Put 0.19, z, 1/4 in ascending order.
z, 0.19, 1/4
Let f(v) = v**3 + 11*v**2 + 5*v + 13. Let p be f(-8). Let j = p - 160. Put j, -12, -1, 0 in decreasing order.
j, 0, -1, -12
Let n(o) = -o**2 - 14*o - 22. Let v be n(-14). Sort -1, v, 2 in descending order.
2, -1, v
Let o(g) be the third derivative of 5*g**4/24 - 10*g**3/3 - 9*g**2. Let h be o(5). Let v be (-6)/(-4)*(-1)/(-2). Sort h, v, 3/8.
3/8, v, h
Let q = 1082 - 1082. Let b = 4 - 7. Sort q, b, -8.
-8, b, q
Let j be (475/(-76))/(-25) + 1/4. Put -12, -2, j, -1/2 in ascending order.
-12, -2, -1/2, j
Suppose -m = -3*m - 8. Suppose -9*c + 5*c = -i - 17, 3*c = 5*i + 34. Sort -1, i, m, 0.
i, m, -1, 0
Suppose -4*f + 4*n = -20, 0*n = -5*f - 5*n - 15. Sort 0, 105, -4, f in ascending order.
-4, 0, f, 105
Let z = -295 - -295.1. Let n = 6 + -2. Sort n, 4/5, z.
z, 4/5, n
Let f(h) = h**3 + 36*h**2 + 36*h + 36. Let d be f(-35). Put -2, d, 16 in descending order.
16, d, -2
Let o be 24/3*-1 + 3. Let a be o + 4 + 4/7. Put 13, 2/7, a in increasing order.
a, 2/7, 13
Let g be 3 - (5/(-5) - 3). Let x = g - 3. Sort 5, -16, x, 3.
-16, 3, x, 5
Let p be (-4)/(-7)*(-135)/180. Put p, -20, -3 in increasing order.
-20, -3, p
Let k(j) = 65*j**2 + 2*j - 3. Let x be k(3). Let r be x/(-315) - (2/(-2) + -1). Put -1, -0.5, -3, r in descending order.
r, -0.5, -1, -3
Let l(h) = 2*h**2 - 14*h - 36. Let a be l(-2). Put 5, a, 1, -1 in increasing order.
-1, a, 1, 5
Let w be 4 - (0 - 24/4) - 5. Sort -2, -4, w.
-4, -2, w
Let f = -0.09 - 0.15. Let y = f + 0.24. Let h be 14/30 - (-1)/3. Sort h, y, 2/7 in descending order.
h, 2/7, y
Let j = -7.8 - -8.8. Sort j, -1, -1/6 in ascending order.
-1, -1/6, j
Suppose 2*p = -4, -5*a - 2*p + 136 - 15 = 0. Sort 1, a, -4, 4.
-4, 1, 4, a
Let y(p) = p**2 + 5*p + 2. Let v be y(-5). Let z = -0.0444 - 0.0256. Put z, -5/6, v in increasing order.
-5/6, z, v
Suppose 3*q + 2*q = -40. Suppose -105 = -11*f - 50. Sort -3, 4, f, q.
q, -3, 4, f
Let q = -24 + -1. Let p be (-3 - 170/(-55))*(1 - -1). Sort -5, p, q in decreasing order.
p, -5, q
Suppose 0*a - 5*a - 18 = p, -2*a + 5*p = -9. Let r be -4 - 2*(a - 1). Put -8, 0, r in descending order.
r, 0, -8
Let p = 0 - 3. Let m = -5602 + 5597. Sort -15, p, m.
-15, m, p
Suppose -j + 4*j + 79 = -2*h, 0 = 4*h - 3*j + 131. Let y be (0 + -2)/(-6 + (-12 - -26)). Sort y, h, -3 in increasing order.
h, -3, y
Let x = -4.77 - -3.87. Sort -3/5, 8, x in descending order.
8, -3/5, x
Let t = -5 + 4.94. Let q = 2.06 + t. Let i be (-5)/(-3)*14/(-35). Put -1, i, q in decreasing order.
q, i, -1
Let c = 2/1253 - -2480/16289. Sort 4, -0.3, c, -0.1 in decreasing order.
4, c, -0.1, -0.3
Suppose 0 = -5*v - 4*t - 5, 8*v - t + 4 = 4*v. Let r = -4 + 12. Suppose -f = 4*w + w - 4, -2*f - 2*w = -r. Put -3, v, f in descending order.
f, v, -3
Let r be (-2)/10*(113 + -118). Suppose -s - 8 = -5*s. Suppose 15 = m - 4*a, -s*m - 2*m - 3*a - 35 = 0. Sort -1, m, r in descending order.
r, -1, m
Let c = 0.2 - 0.7. Let w = 479.4 + -478.9. Put 1, w, c, 0.2 in decreasing order.
1, w, 0.2, c
Let h = -7 - -3. Suppose -6*n + 1052 = -556. Let x = n + -268. Put 1, x, h in ascending order.
h, x, 1
Let y be -3 + (2/1 - 3). Suppose 4*n - 3*n = 9. Suppose -n*k + 6*k = -6. Sort y, k, 1 in descending order.
k, 1, y
Let m be -5*(-3*(-147)/35 - 1). Sort -4, m, 1 in decreasing order.
1, -4, m
Let b = -2160 - -2154. Sort -114, b, -3, 0 in decreasing order.
0, -3, b, -114
Suppose 7*o = -12*o + 114. Put 1, -4, -5, o in ascending order.
-5, -4, 1, o
Let u be (-2)/4 - (-33)/(-6). Let t(g) = 2*g + 1. Let m be 0/(-3) + 1 + -1. Let h be t(m). Sort -3, h, u in descending order.
h, -3, u
Let w be 45/(-231) + 3/(-33). Put w, 4, 1/7, 0.9 in increasing order.
w,
|
{
"pile_set_name": "DM Mathematics"
}
|
the second derivative of -1678*x**4 + x + 472 wrt x.
-20136*x**2
Differentiate -247*b**3*c**3*j - 3*b**3*c**3 + 12*b**2*c**3 - b*c**3*j + 1 with respect to j.
-247*b**3*c**3 - b*c**3
Find the second derivative of a**4*n + 2*a**4 + 2148*a**2 + 2*a*n + a - 414*n wrt a.
12*a**2*n + 24*a**2 + 4296
Find the second derivative of -50*s**5 + 32*s - 2 wrt s.
-1000*s**3
Differentiate -4*b**4 - 108*b**3 - 17560 wrt b.
-16*b**3 - 324*b**2
What is the second derivative of -971*c**4*j - 5*c**4*t**3 + c*j*t + 3*c*t**2 + 86*j*t**3 - 3*j*t - 2*t**3 wrt c?
-11652*c**2*j - 60*c**2*t**3
What is the second derivative of 5*b**5*h**2 - 16*b**3*h**2 - b*h**2 - 137*b wrt b?
100*b**3*h**2 - 96*b*h**2
Find the second derivative of 2*h**5 + 12*h**4 - 17*h**3 - 7*h - 55 wrt h.
40*h**3 + 144*h**2 - 102*h
What is the second derivative of 3*g*s**3*y - 24*g*s**2 - 5*g*s - g*y + s**3*y - 2*s**2*y + 64*s*y wrt s?
18*g*s*y - 48*g + 6*s*y - 4*y
Find the second derivative of -2*l**3*m**2*r + l**3*r - 387*l**3 - l*m**2*r + 2*l*m**2 + 5*l*m*r + r wrt l.
-12*l*m**2*r + 6*l*r - 2322*l
Differentiate -4*l**3 - 4*l - 35 with respect to l.
-12*l**2 - 4
What is the first derivative of 33*s**3 - 12*s - 11731 wrt s?
99*s**2 - 12
What is the third derivative of -679*f**6 - 7*f**2 + 9 wrt f?
-81480*f**3
Find the second derivative of -240*k*x**4 + 2*k*x - 55*k wrt x.
-2880*k*x**2
Find the third derivative of 230*u**5 - 73*u**2 wrt u.
13800*u**2
Find the third derivative of -141*k**6 + 21*k**2 wrt k.
-16920*k**3
Differentiate -2*i**4 + 121*i - 193 wrt i.
-8*i**3 + 121
Find the third derivative of 1725*k**5 + k**4*n + 2*k**2*n + 2344*k*n wrt k.
103500*k**2 + 24*k*n
What is the third derivative of -28*k**6 - 115*k**2?
-3360*k**3
Differentiate -1896*l*o*r + l*r - 3677*o*r + 4*r with respect to l.
-1896*o*r + r
Differentiate -221*b**2*w**2 - b**2 + 232*w**2 + 1 with respect to b.
-442*b*w**2 - 2*b
What is the second derivative of -6*d**3*o**3 - 406*d**3 + 570*d*o**2 - d + o**3 - o wrt d?
-36*d*o**3 - 2436*d
Find the second derivative of 6*b**5 - 35*b**4*x - b**3 + 2*b*x - 97*b - 2*x wrt b.
120*b**3 - 420*b**2*x - 6*b
Find the second derivative of 1287*x**5 - 11*x + 10 wrt x.
25740*x**3
Find the second derivative of 3373*i**2 + 1940*i + 1.
6746
What is the third derivative of -1724*j**6 + 4*j**2 + 64*j wrt j?
-206880*j**3
What is the third derivative of -88*b*x**3 - 2*b*x**2 + 340*b wrt x?
-528*b
Find the second derivative of 4*i**5 + 6*i**4 + i - 2 wrt i.
80*i**3 + 72*i**2
What is the third derivative of -66*q**5 + 122*q**2?
-3960*q**2
Find the second derivative of 3*s**5 - 30*s**4 + 18*s**3 + 21714*s.
60*s**3 - 360*s**2 + 108*s
Find the third derivative of -1203*b**4 - 310*b**2 + b.
-28872*b
What is the second derivative of -2*h*n**2 + 101*h*n + 474*n**2 - n wrt n?
-4*h + 948
Find the second derivative of -d**3*n**3 - 3*d**3*n**2*u - 180*d**3*u**2 - d*n**3*u**2 - 97*u wrt u.
-360*d**3 - 2*d*n**3
What is the second derivative of -2263*r**5 + r**4 + 2*r - 9861 wrt r?
-45260*r**3 + 12*r**2
Find the first derivative of -381*q**2 + 482 wrt q.
-762*q
What is the second derivative of -73*o**5 + 56*o**2 - 1467*o - 1?
-1460*o**3 + 112
What is the third derivative of -b*c**4*s + 10803*b*c**3*s**3 - 18*b*c*s**3 - 2*b*s - 205*c**2*s wrt c?
-24*b*c*s + 64818*b*s**3
What is the second derivative of 19*h**3 + h**2 + 21*h wrt h?
114*h + 2
What is the third derivative of 165*f**2*u**5 + 13*f**2*u**4 - 169*f**2*u + 3*u**2 wrt u?
9900*f**2*u**2 + 312*f**2*u
Differentiate -l*n*p**2 + 107*l*n*p + 2*l*p**2 - 66*l*p - n*p**2 + 23 wrt n.
-l*p**2 + 107*l*p - p**2
What is the third derivative of 2*f**5 + 342*f**4 - 98*f**2 wrt f?
120*f**2 + 8208*f
What is the third derivative of -484*c**4 + 3*c**2 - 3 wrt c?
-11616*c
Find the third derivative of 5104*z**5 + 2*z**3 + 16243*z**2 wrt z.
306240*z**2 + 12
What is the first derivative of 23*k**2*t**2 - 4649*k**2 + 65*k*t**2 wrt t?
46*k**2*t + 130*k*t
Differentiate 1203*a**2 + 744 wrt a.
2406*a
Differentiate 4*f**3*t**3*y + 17*f**3*t*y**3 + 2*f**3*t - 196*f*t**3 + f with respect to y.
4*f**3*t**3 + 51*f**3*t*y**2
Find the third derivative of 1861*u**6 - 1357*u**2.
223320*u**3
What is the third derivative of -766*d**6 - 747*d**2 wrt d?
-91920*d**3
What is the first derivative of -6300*q**2
|
{
"pile_set_name": "DM Mathematics"
}
|
d**2
Let y(o) = -14673*o. Let i(u) = -6*u. What is i(y(m))?
88038*m
Let a(t) = -t. Let j(u) = 1. Let k(i) = 3*i + 5. Let l = -1 - -27. Let r = l + -11. Let y(f) = r*j(f) - 3*k(f). Determine a(y(h)).
9*h
Let y = 57 - 55. Let u(v) = -6*v + 9*v**2 - 11*v**y + 6*v. Let f(k) = -3*k. Calculate u(f(x)).
-18*x**2
Let v(q) = 3 - 3*q + 0 - q**2 + 2*q**2. Let a(x) = -2*x**2 + 8*x - 8. Let r = -124 - -121. Let c(n) = r*a(n) - 8*v(n). Let f(o) = -2*o**2. What is c(f(y))?
-8*y**4
Let h(o) be the first derivative of 5*o**2/2 - 165. Let f(z) = -9*z**2 + 5. What is h(f(u))?
-45*u**2 + 25
Let l(c) be the first derivative of -c**3/3 + 13. Let w(m) = -14*m**2 - m. Give w(l(x)).
-14*x**4 + x**2
Let p(j) = -5*j**2. Let x(i) = 100255*i. Calculate p(x(k)).
-50255325125*k**2
Let d(r) = 2*r. Let w(o) = -24*o - 20*o + 43*o. Let m(n) = 3*d(n) + 4*w(n). Let t(k) = -4*k**2. What is t(m(g))?
-16*g**2
Let v(a) = -131737*a. Let m(u) = -u**2. What is m(v(s))?
-17354637169*s**2
Let j(c) = 38*c - 39. Let f(w) = 27*w**2 + 3*w. What is f(j(z))?
38988*z**2 - 79914*z + 40950
Let h(d) = 10*d**2. Let g(s) = 310149*s**2. Calculate h(g(p)).
961924022010*p**4
Let p(s) = -s. Let c be -2 + 0/4 - 19. Let i be 12/c + (-54)/(-21). Let h(g) = g**2 + 7*g**2 - 14*g**i. Give p(h(z)).
6*z**2
Let b(g) = 24*g**2. Let f(n) = 15103*n**2. What is f(b(y))?
8699328*y**4
Let k(l) = l**2 + l - 1. Let n(s) = 8*s**2 + s - 1. Let y(b) = k(b) - n(b). Let m(w) = -7*w. Give y(m(d)).
-343*d**2
Let m(f) = -f**2 - 12*f - 6. Let q(s) = 2*s**2 + 22*s + 11. Let d(u) = -11*m(u) - 6*q(u). Let v(z) = -6*z. What is v(d(n))?
6*n**2
Let x(i) = 80*i**2 - 39*i**2 - 43*i**2. Let v(w) = -8*w. Give x(v(z)).
-128*z**2
Let h(s) = -3*s**2. Let x = -5 + 10. Let u(w) = w**3 - 4*w**2 - 4*w - 3. Let j be u(x). Let c(o) = 5 + j*o**2 - 10 + 5. What is h(c(p))?
-12*p**4
Let w(a) = -7*a + 29*a - 20*a. Let j(y) = 3*y**2 - 3*y. Determine j(w(b)).
12*b**2 - 6*b
Let j(h) = -10*h. Let s(x) = -6*x. Let v(o) be the second derivative of -o**3/6 - 3*o. Let y(a) = 6*s(a) - 33*v(a). Give y(j(z)).
30*z
Let q(w) be the second derivative of w**3/3 - 80*w + 1. Let v(r) = 76*r + 1. Calculate v(q(u)).
152*u + 1
Let h(n) = -180620*n. Let z(p) = 10*p**2. Calculate z(h(o)).
326235844000*o**2
Let u(z) = -36*z. Let c(h) = h - 1. Let p(w) = -2*w**2 + 3*w - 3. Let i(o) = 6*c(o) - 2*p(o). What is i(u(t))?
5184*t**2
Let p(g) = -8*g. Let n(k) be the third derivative of -k**5/15 - 580*k**2. What is n(p(d))?
-256*d**2
Let v(g) = g**3 - 5*g**2 + 5*g + 2. Let m be v(4). Let z(h) = 153*h - 39. Let f(b) = -8*b + 2. Let y(n) = m*z(n) + 117*f(n). Let a(s) = 3*s**2. What is a(y(q))?
972*q**2
Let n(s) = 4*s**2. Let x be 48/(-18)*(-9)/6. Let v(d) = -7*d**2 + 4*d**2 + x*d**2. Give v(n(o)).
16*o**4
Let l(s) = -2*s**2. Suppose 5*m - 16 - 24 = 0. Suppose 5*w + 6 = 2*h - 0*h, -4*w + m = 0. Let j(u) = -u + 10*u - h*u - 5*u. Calculate l(j(a)).
-32*a**2
Let h(o) = -o**2. Let f(g) = g**2 - 7082. Give f(h(l)).
l**4 - 7082
Let h(z) = 9*z**2 - 23. Let c(i) = -2*i - 33. Calculate h(c(m)).
36*m**2 + 1188*m + 9778
Let c(i) = -7*i. Let b = 9 + -10. Let r be -7 - b/(3/6). Let y(p) = -p**2 - 3*p + 3. Let v(z) = -2*z**2 - 5*z + 5. Let s(a) = r*y(a) + 3*v(a). Give s(c(d)).
-49*d**2
Let h(q) = 13*q - 31*q + 21*q. Let n(s) = 161*s. Give h(n(b)).
483*b
Let s(h) = -15*h**2. Let a(b) = -b**2 - b. Let q(l) = -10*l**2 - 3*l. Let y(n) = -3*a(n) + q(n). Give s(y(f)).
-735*f**4
Let l(z) be the third derivative of 7*z**5/30 + 6*z**2. Let g(x) = -95 + 2*x**2 + 95. Give g(l(d)).
392*d**4
Let s(j) = 13*j**2 + 6*j + 12. Let o(b) = -28*b**2 - 13*b - 26. Let d(c) = 6*o(c) + 13*s(c).
|
{
"pile_set_name": "DM Mathematics"
}
|
s in -5*j**3 + j**3 - j**2 + 8*j**3 + 5*j**2.
4*j**3 + 4*j**2
Collect the terms in 9*i**2 + 18*i**2 + 8*i**2 + i**3 - 34*i**2.
i**3 + i**2
Collect the terms in -41 - s + 0*s + 28 - 54.
-s - 67
Collect the terms in 63*f + 139*f - 99*f + 188*f.
291*f
Collect the terms in 0*u**3 + 3*u**3 + 11041*u - 11041*u.
3*u**3
Collect the terms in -3*p**3 + 8505*p**2 - 8505*p**2.
-3*p**3
Collect the terms in -3*h**2 + h**3 + 3*h**2 + 5 + 0.
h**3 + 5
Collect the terms in t + 9287 - 9287.
t
Collect the terms in 805*k**3 - 793*k**3 + 4*k - 4*k.
12*k**3
Collect the terms in 13*p - 22*p + 10*p + 30.
p + 30
Collect the terms in 1 - 27*q - q - 24*q - q.
-53*q + 1
Collect the terms in q**2 + 2*q**2 + 25*q - q**2 - q**2.
q**2 + 25*q
Collect the terms in 3 - d - 3 - d - 316*d**2.
-316*d**2 - 2*d
Collect the terms in -14*i**3 + 8*i**3 + 3*i**3 + 5*i**3.
2*i**3
Collect the terms in -5*f**2 + 3*f**2 - 10*f + 4*f + 6*f.
-2*f**2
Collect the terms in -4*u**2 + 0*u**2 + 4*u**2 + 2*u**3 + 7.
2*u**3 + 7
Collect the terms in 15 - 1 + 4*v**2 - 3*v**2.
v**2 + 14
Collect the terms in -12*l**2 + 4*l**2 + 2*l**3 - 9*l**2.
2*l**3 - 17*l**2
Collect the terms in 414*l**3 - 2 + 413*l**3 - 821*l**3 + 2.
6*l**3
Collect the terms in -567*i - 5*i**2 + 567*i.
-5*i**2
Collect the terms in -13228 + 13228 - 27*w.
-27*w
Collect the terms in -3*h + 2 - 1 + 1.
-3*h + 2
Collect the terms in -13*x**2 - 2*x**2 - 6*x**2.
-21*x**2
Collect the terms in -2 + 1 + 3 + 0 + 9*y**3.
9*y**3 + 2
Collect the terms in -118*s**2 + 63*s**2 + s + 57*s**2 - s.
2*s**2
Collect the terms in 2*a**2 + 12*a**2 - 5*a**2.
9*a**2
Collect the terms in m**2 - m**2 - 12*m**2 + m**2.
-11*m**2
Collect the terms in f**2 - 28*f**2 + 28*f**2.
f**2
Collect the terms in -723 + 2*f - 3*f + 723.
-f
Collect the terms in -47 + 138 - 44 - 47 + 3*l.
3*l
Collect the terms in 1 - 2*l - 3 + 1 - 3*l.
-5*l - 1
Collect the terms in 373*b - 748*b + 379*b.
4*b
Collect the terms in -63442*s**2 - 63437*s**2 + 126882*s**2.
3*s**2
Collect the terms in -7*l + 8*l + 12*l + 16.
13*l + 16
Collect the terms in 5*f - 4*f - f - 4*f.
-4*f
Collect the terms in -56*f**2 + 11*f**3 + 9*f**3 + 56*f**2.
20*f**3
Collect the terms in 119*m + 105*m - 247*m.
-23*m
Collect the terms in -12*p - 13*p - 15*p + 44*p.
4*p
Collect the terms in -3 + 8*t - 4 + 7.
8*t
Collect the terms in -l + 3*l - 6*l + 18*l.
14*l
Collect the terms in 17 - 12 - 8 + 169*k.
169*k - 3
Collect the terms in 0*v + 2*v - 3*v + 1 + 5.
-v + 6
Collect the terms in -206*z - 230*z + 438*z.
2*z
Collect the terms in 151*i - 297*i + 148*i.
2*i
Collect the terms in -5*s**2 + 48*s**2 - 28*s**2.
15*s**2
Collect the terms in -a**2 - a**3 + 68803 - 68803 + a**2.
-a**3
Collect the terms in 32*w**2 - 14*w**2 - 9*w**2.
9*w**2
Collect the terms in -5*h + 4*h - 9*h**3 + h + 2*h**3.
-7*h**3
Collect the terms in -144*v - 2*v**2 + 144*v - 8.
-2*v**2 - 8
Collect the terms in 12*k**2 - 6*k**2 - 4*k**2 - 7*k**2.
-5*k**2
Collect the terms in -208*v - 203*v + 13*v**2 + 411*v.
13*v**2
Collect the terms in r**2 - 717 + 360 + 357.
r**2
Collect the terms in -1051 + 1051 - 3*p.
-3*p
Collect the terms in -124 - 127 + 251 + 3*b.
3*b
Collect the terms in -8*r**3 - 109*r + 61*r - 9*r**3 + 48*r.
-17*r**3
Collect the terms in 2*j**2 - 22*j**2 + j**2.
-19*j**2
Collect the terms in 326*g**2 + 321*g**2 - 657*g**2.
-10*g**2
Collect the terms in 1235*j**2 - 3696*j**2 + 1232*j**2 + 1233*j**2.
4*j**2
Collect the terms in 13107 - 13107 - 2*v**2.
-2*v**2
Collect the terms in -28*n**3 + 64*n**3 - 33*n**3.
3*n**3
Collect the terms in -8*l**3 - 10*l**3 - 9*l**3 + 14*l**3.
-13*l**3
Collect the terms in -4*r + 6*r - 59*r**2 + 46*r**2 - 2*r.
-13*r**2
Collect the terms in -3*s**2 + 5*s**2 - 2*s**2 - 8*s**3.
-8*s**3
Collect the terms in -167*h**3 + 58*h**3 + 59*h**3 + 52*h**3.
2*h**3
Collect the terms in -9*y - 517*y + 4 - 4.
-526*y
Collect the terms in 7 - 28 + 2*d + 6 - 19.
2*d - 34
Collect the terms in -167 + k + 167.
k
Collect the terms in 51*c - 7 + 7.
51*c
Collect the terms in -j**3 - 667 - 659 + 1326.
-j**3
Collect the terms in 66*g**3 - 29*g**3 - 29*g**3.
8*g**3
Collect the terms in -7*h + 5*h - 4*h + h.
-5*h
Collect the terms in -25*c - 37*c + 65*c.
3*c
Collect the terms in d
|
{
"pile_set_name": "DM Mathematics"
}
|
e 25 = 5*l, 0 = -3*t + m*t - 3*l + 23. Is t a multiple of 3?
False
Suppose -1 - 16 = -x. Does 5 divide x?
False
Let s be ((-52)/6)/(4/(-60)). Let a = s - 79. Does 17 divide a?
True
Let p(t) = 96*t - 28. Is 13 a factor of p(3)?
True
Suppose -4*x - x + 147 = 2*a, 3*a + 84 = 3*x. Is 12 a factor of x?
False
Suppose -7 = 5*d - 2. Let p = 6 + d. Does 5 divide p?
True
Let m(a) = -17*a - 5. Let u be m(-5). Let j = -40 + u. Does 8 divide j?
True
Let b = -2 + 5. Suppose -59 = -2*i - 5*l, i - 43 = -b*i + 5*l. Let p = i - 6. Is 11 a factor of p?
True
Suppose 0 = -2*a - 2*x + 12, -5*x - 3 = -6*x. Let u(o) = -2 + 6 - 3*o**a + 0*o**2 - 8*o**2 + 2*o**3. Is 4 a factor of u(-8)?
True
Let w(i) = i. Let p(c) = c**2 + 18*c. Suppose 0 = -4*a - 4, 2*m + 0*a = -4*a - 6. Let j(k) = m*p(k) + 5*w(k). Is 13 a factor of j(-6)?
False
Let d = -27 + 69. Does 5 divide d?
False
Let a(j) = 12*j. Let k be a(1). Suppose 0 = -3*z + 5*z - k. Does 6 divide z?
True
Let l = 251 - 87. Is 16 a factor of l?
False
Let z(x) = x**2 + 6*x - 1. Is z(7) a multiple of 15?
True
Let u(h) = h**2 + h - 4. Suppose -5*b - 15 = -2*b. Is u(b) a multiple of 8?
True
Let i(j) = -j**2 - 8*j - 3. Let p be i(-7). Suppose -p*y - 112 = -8*y. Is y a multiple of 6?
False
Suppose 0 = v + 9 - 61. Suppose g + v = 4*k - g, -3*g = -5*k + 67. Is k a multiple of 3?
False
Let q(o) = o**2 - 6*o + 2. Let z be q(3). Let c(f) = -f**2 - 9*f - 4. Does 10 divide c(z)?
True
Let k = 18 + -10. Let v be (15/4)/(2/k). Let u = v - 10. Is u a multiple of 5?
True
Suppose 5*n - 25 = -r, 3*n + r + 4*r = 37. Suppose -4*v = 4 + n. Let u = v + 20. Does 9 divide u?
True
Is 6 a factor of (-6)/2 + (13 - -8)?
True
Let q(j) = -j**3 - 4*j**2 + 2*j. Let b(t) = t**3 + 4*t**2 - 5*t - 5. Let z be b(-5). Is q(z) a multiple of 15?
True
Suppose 3*b + 34 - 124 = 0. Is b a multiple of 15?
True
Suppose -2*y = -3 + 1, -53 = -3*i + 4*y. Is 19 a factor of i?
True
Let i(s) = -s**3 + s - 23 + 7 + 0*s + s**2. Let a be i(0). Let d = a - -24. Is 4 a factor of d?
True
Let a = -143 + 31. Let n = -76 - a. Is n a multiple of 9?
True
Let d(n) be the second derivative of n**5/20 + n**4/6 - 2*n**3/3 + 3*n**2/2 + 4*n. Let s be d(2). Let w = 21 - s. Does 10 divide w?
True
Is 13/(-91) + 422/14 a multiple of 12?
False
Suppose 5*a + 0 - 10 = 0. Suppose 3*q - 5*b - 7 + a = 0, 4*q + 3*b + 3 = 0. Suppose q = 2*h - 6*h + 44. Is h a multiple of 11?
True
Let p = -11 - -15. Suppose 0*j = 3*j + p*g + 16, -20 = -2*j + 5*g. Suppose -t + 3 = -j*t. Is t even?
False
Let y(i) = i**3 - 15*i**2 + 4*i - 18. Does 7 divide y(15)?
True
Let c(j) = -13*j - 19. Is 36 a factor of c(-7)?
True
Let l = -96 - -223. Let x = -67 + l. Is 10 a factor of ((-8)/(-5))/(8/x)?
False
Let d(u) = u + 5 + 7 - 1. Let z be d(-10). Is 6 a factor of (2 + -13)/(-1*z)?
False
Let o = 12 + -7. Suppose t + 0*a = -4*a + 21, -3*a - 220 = -o*t. Is 16 a factor of t?
False
Let s = -33 + 50. Is s a multiple of 11?
False
Let k(x) = 2*x**2 + 8*x + 6. Let a(v) = v**3 + 3*v**2 + 3*v + 4. Let r be a(-3). Is 16 a factor of k(r)?
True
Suppose 0*h = 2*h - 22. Let i = h - 4. Does 7 divide i?
True
Let k = -54 + 51. Let u = -3 + 8. Let o = k + u. Is o a multiple of 2?
True
Let x(w) = w. Let s(c) = -c**2 + 2*c + 7. Let g(b) = s(b) + x(b). Let z be g(5). Let m(u) = u**2 - u + 2. Does 8 divide m(z)?
False
Let y(x) = 6 - 1 + 4*x - 3*x + 1. Is y(0) a multiple of 3?
True
Is -2 + 21*28/6 a multiple of 16?
True
Suppose -5*f - 3 = l, 4*f + 9 + 3 = -4*l. Suppose 4*x = 4*v + x - 3, -4*v - 2*x + 18 = f. Suppose 0*g = v*g - 45. Is g a multiple of 9?
False
Let b = 69 + -40. Is b a multiple of 9?
False
Suppose 5*h - 242 = -4*x + 250, 3*x = -4*h + 370. Does 31 divide x?
False
Let b(x) = 10*x + 8. Let v be b(7). Suppose l = -2*l + v. Is l a multiple of 7?
False
Suppose 0 = -0*w - 3*w + 90. Let g = w - 15. Is g a multiple of 12?
False
Let q(p) = p**3 + 6*p**2 - 3. Let b be q(-6). Is 18 a factor of 4/6 - 82/b?
False
Let t(a) = a**3 - 3*a**2 - 4. Let g be t(3). Let d(r) = -r + 1. Let p(m) = -m**2 - 5*m - 1. Let x(b) = 2*d(b) - p(b). Does 7 divide x(g)?
True
Suppose 0 = 5*k - 2*s - s - 120, 0 = -3*k - 4*s + 43. Let m = -9 + k. Is m a multiple of 4?
True
Let h be 7/2 + 1/(-2). Suppose h = -2*d - d, 0 = 5*s - d - 201. Suppose c - s = 5*v, 3*v - v = -5*c + 173. Is 9 a factor of c?
False
Suppose 0 = -0*b + 4*b + 2*s - 62, 0 = 4*b - 4
|
{
"pile_set_name": "DM Mathematics"
}
|
a(12) a multiple of 10?
True
Does 13 divide (-6)/(-432)*-12 + 50894/12?
False
Let g = 457 + 107. Suppose -l + 0*l = -g. Suppose 0 = 6*d - 366 - l. Is 31 a factor of d?
True
Let z = 356 + -361. Let w(v) = -4*v**3 - v**2 - 15*v - 56. Is w(z) a multiple of 12?
False
Suppose 0 = -4*z + g + 9981, 3*g = 2*z - 3275 - 1728. Does 29 divide z?
True
Suppose 5*g + 3*f - 72 = 0, -4 = -f - 0*f. Suppose 0 = -9*o + g*o - 255. Does 5 divide o?
True
Let w(p) = -126*p - 514. Is 9 a factor of w(-16)?
False
Suppose -3060 = 77*l - 94*l. Suppose -19*u = -l - 1872. Is 25 a factor of u?
False
Let s(r) = r**3 + 7*r**2 + 11*r. Let l be s(-3). Suppose 0 = l*b + 318 - 2208. Is b a multiple of 70?
True
Let x(u) = 1 + 6 - u**3 - 29*u - 1 - 806*u**2 + 827*u**2. Is x(19) a multiple of 26?
False
Let x(n) = 10*n**2 - 10*n + 17. Let m(q) = -9*q**2 + 10*q - 17. Let i(h) = -6*m(h) - 5*x(h). Is 13 a factor of i(3)?
False
Let o(f) = f**2 - 9*f + 18. Let b = 36 + -29. Let r be o(b). Suppose 152 = 6*c - r*c. Is c a multiple of 19?
True
Let k = 37 + -3. Let a = k + -24. Suppose 1596 = 4*r + a*r. Is 19 a factor of r?
True
Let p(q) = -q - 109*q**2 + 7*q - 4 + 3 - 5*q. Let h be p(1). Let c = -61 - h. Is c a multiple of 5?
False
Let m(i) = i**3 + i**2 + 7*i + 35. Let s be m(-3). Is 14 a factor of (s + 36/6)*(1 - -190)?
False
Let y(j) = 176*j**2 - 765*j + 43. Does 308 divide y(-13)?
True
Let p(n) = 24*n**2 - 1 - 5*n - 22*n**2 - 4*n. Let q be p(5). Suppose -y = -q*k - 116, -77 = 2*y - 5*k - 309. Is y a multiple of 29?
True
Suppose 0 = 2*k - 3*k - 5*l - 3, 5 = -5*l. Suppose k*z - 1268 = -5*o, -2*o - z = -6*z - 484. Suppose o - 60 = 8*q. Is 4 a factor of q?
True
Let m(x) = -14*x**2 - 20*x - 4. Let a(d) = -5*d**2 - 7*d - 1. Let c(v) = 11*a(v) - 4*m(v). Let b be c(-3). Is 335/b - (4 + -1) a multiple of 4?
True
Let u = -184 - -3121. Is u a multiple of 3?
True
Let g(w) = 228*w + 3572. Is g(43) a multiple of 32?
True
Let h be -4 + 1 + -1 + 8. Suppose 4*t - 3*u + 81 = 0, t - h*u = 5*t + 88. Is 24 a factor of (-2408)/t + 4/(-6) + -1?
False
Let y be ((-782)/(-4) - 0) + 3/6. Suppose -h = 6*h - y. Suppose 4*v + p = 78, 3*p = v - p - h. Is v a multiple of 5?
True
Suppose 2*t = 6*m - 5*m + 265, -1405 = -11*t - 2*m. Does 2 divide t?
False
Let j(u) = u**3 + 6*u**2 + 9*u + 14. Let c be j(-5). Does 14 divide c + 1158/8 - 2/(-8)?
False
Suppose -d = g + 349, 109 = 2*d - 2*g + 795. Let b = d - -562. Is 24 a factor of b?
True
Let u = 142 + -60. Let c be (6/12)/((-4)/272). Let m = u + c. Is 12 a factor of m?
True
Let b = -195 - -247. Is 80 a factor of b/39 - (-1091)/3?
False
Suppose -8720813 = -494*l + 2007385. Is 28 a factor of l?
False
Let v be (13035/(-44))/15 - (-1)/(-4). Let b(f) = f**3 + 21*f**2 + 4*f - 41. Does 13 divide b(v)?
False
Let s(x) = -22*x + 15. Let j be s(3). Let g = j - -55. Is 9 a factor of (-68)/(-6)*g*(-6)/(-16)?
False
Let f(w) = w**2 - 15*w + 3. Let y be f(0). Is 10 a factor of 1*(-5 - (y - 117))?
False
Suppose 22*y - 119543 = 145889 + 14562. Is y a multiple of 7?
False
Let q(m) = 2*m - 1. Let n be q(3). Let h(x) = 23*x**2 + 26*x - 5. Let v(f) = 13*f**2 + 13*f - 2. Let k(s) = 4*h(s) - 7*v(s). Is 10 a factor of k(n)?
False
Let c be (-11 + 12)/((-2)/(-2)). Suppose 0 = 4*p - 2*w - 17 - 5, 2*w = -3*p - c. Let k = p - -3. Is 3 a factor of k?
True
Suppose 13*t - 10 = 8*t. Suppose t*f + 4 = -4*s, -4*s = -3*f + 2 + 2. Suppose f = -3*z + 2*z + 59. Does 12 divide z?
False
Suppose 6*x = 45 + 81. Suppose -224 = 20*l - x*l. Suppose -5*t = 4*o - 729, 5*o + t + l = 1109. Is 27 a factor of o?
False
Let r(p) = 18*p**2 - 28*p + 207. Let j be r(7). Suppose 4*k = z + j, -8*k + 7*k + 4*z + 227 = 0. Is k a multiple of 29?
False
Suppose -3*i = -16*i + 3185. Suppose i + 7 = 6*a. Does 7 divide a?
True
Suppose 10*w + 457 = -1783. Does 11 divide w/(-1 - 0 - (-21 - -21))?
False
Is ((-12)/(-10))/(3/5) - -17251 a multiple of 9?
True
Suppose 0 = 11*t - 8*t - 9. Suppose 0 = 4*m + b - 33, -2*m + 2*b = -m - 15. Suppose -t*c + m = -9. Is c even?
True
Suppose 0 = -4*k + 6*d + 33554, -5*k - 52*d = -51*d - 41934. Does 152 divide k?
False
Let p = 105 + 2178. Let k = p + -1213. Is k a multiple of 13?
False
Suppose 0 = -5*s + 20, -4*j = 2*s + 3*s - 4912. Let h = j - 23. Is h a multiple of 35?
False
Let r(u) = 5*u**3 - 12*u**2 + 7*u + 27. Let z(w) = -3*w**3 + 6*w**2 - 3*w - 14. Let l(j) = -4*r(j) - 7*z(j). Let t = 2 - 8. Is 6 a factor of l(t)?
False
Let a(u) = 58*
|
{
"pile_set_name": "DM Mathematics"
}
|
0) + (11*c + 1062 - 1062)*(-2*c**2 - c + c).
-23*c**3
Expand (-5*h + 2*h + 4*h)*(-3 - 2 + 0).
-5*h
Expand (-6 - 2 + 2)*(-4*m**4 - 2*m**4 + 3*m**4) + 0*m**4 + 0*m**4 + m**4.
19*m**4
Expand (-2 + 2 - 1)*(4*d - 4*d - d)*(-11 + 11 - 4*d).
-4*d**2
Expand (c**2 + 0*c**2 - 3*c**2)*(4*c**3 - c**3 - 4*c**3) + 4*c**5 + 0*c**5 - 3*c**5 + 3*c**5 - 4 + 4.
6*c**5
Expand (-2*q + q + 2*q)*(8*q**3 - 95 + 95).
8*q**4
Expand y - y - 9 + y + (0 + 2 - 3)*(2*y - y - 3*y).
3*y - 9
Expand -3*b**3 + 0*b**3 + 4*b**3 + (5 + 2*b - 5)*(3*b - 3*b + b**2) + 0 - b**3 + 0.
2*b**3
Expand (1 + 3*r - 1)*(2*r**2 - 2*r**2 - r**2)*(1 + 1 - 1).
-3*r**3
Expand (0 + 0 - 1)*(0*v + v + 2*v)*(-2 + 0 + 0)*(2*v + 3 - 3).
12*v**2
Expand (-w - 5*w + 3*w)*(161*w - 10*w**3 - 161*w) - w**4 + 6*w**4 - 4*w**4 + w**4 + 2*w**4 - 2*w**4.
32*w**4
Expand (-2*u + 0*u + 4*u)*(2 - 4 + 0 - 1 - 1 + 1 + (-3 + 1 + 4)*(0 - 6 + 4) + 5 - 5 - 1 + 2 - 1 + 0 + 3 + 2 - 3).
-10*u
Expand (1 + 1 - 3)*(5*j**2 + 0 + 0 - 2).
-5*j**2 + 2
Expand 2 - 2*x - 2 + (3 + 2 - 3)*(4*x - x - 4*x)*(6 + 1 - 3).
-10*x
Expand (4*m - 2*m + 0*m + (m + 2*m - 4*m)*(2 - 2 + 2) + 0 + m + 0)*(-8*m + 12*m + 7*m).
11*m**2
Expand 2*l + 4*l - 4*l + (-110 + 110 + 9*l)*(-1 + 0 - 1).
-16*l
Expand (9*z**3 + 5*z**3 - 6*z**3)*(-z + 2*z + z) + (-1 + 2 - 3)*(-6*z**4 + z**4 + 3*z**4).
20*z**4
Expand (0*j + 2*j + 0*j)*(-2*j + j + 0*j)*(-2 - 2*j**2 + 2).
4*j**4
Expand (-p - p - p)*(1 - 3 + 1) + (-1 - 4 + 3)*(-3*p + 12*p - 2*p).
-11*p
Expand (2*g**2 - 4*g**2 + 3*g**2)*(1 - 1 + g)*(1 + 7 - 9).
-g**3
Expand (-2 - 2 + 2)*(-g - 2*g + g)*(-7 + g + 7).
4*g**2
Expand (18 - 18 + 2*g)*(-6*g - 8 + 8).
-12*g**2
Expand z**2 - 6 + 6 + 0*z**2 + 2*z**2 - z**2 + z**2 + 0*z**2 + 0*z**2 + (-2 + 1 - 1)*(-2*z**2 - z + z) + 2*z**2 + 3*z**2 - 3*z**2.
9*z**2
Expand -2*t**3 + 2*t**3 + 2*t**3 + (-2*t**3 - 2*t**3 + 7*t**3)*(1 + 4 - 4 + (0 - 5 + 4)*(-1 + 1 - 1)).
8*t**3
Expand 7 + 10 - 16 + 2*t**2 + (-5*t + 5*t - 3*t)*(-t - 4*t + 4*t).
5*t**2 + 1
Expand -2*t + 2*t + t**3 + (3*t - 4*t + 2*t)*(-2 - 2*t**2 + 2) - t**3 - 5*t**3 + 5*t**3 + t**3 + 0*t**3 + 0*t**3 + (-2*t + 0*t + t)*(0*t**2 - t**2 - t**2).
t**3
Expand (0 - 2 + 1)*(2*p - p + 5*p) - 2*p - 2*p + 5*p + (-4*p - p + 4*p)*(-3 + 2 - 1).
-3*p
Expand (-1 - 3*z**2 + 1)*(-4*z**2 + 1 - 4*z**2 + 0*z**2).
24*z**4 - 3*z**2
Expand 147*c**3 - 122*c**3 + 180*c**3 + (5*c**2 - 2*c**2 - c**2)*(c - 4*c + 2*c).
203*c**3
Expand (0 - 4 + 2 + 2 + 2 - 5 + (1 - 3 + 3)*(0 - 1 + 2))*(0*n + n + n)*(-5*n + 4*n + 2*n).
-4*n**2
Expand (-4*v**2 + 3*v**2 - v**2)*(-6 + 4 + 4) + (-2*v + v + 0*v)*(v - v + 5*v).
-9*v**2
Expand (z**4 - z**4 - 2*z**4 + 0*z**2 + 0*z**2 + 2*z**4 + (0*z**2 + 2*z**2 - z**2)*(3*z**2 + z**2 - 5*z**2) + 6*z**4 - 4*z**4 + 0*z**4)*(-2 + 2 + 2).
2*z**4
Expand (0 - 1 + 2)*(-z**2 + 4*z**2 - z**2) + (-2*z + 3*z - 2*z)*(3*z + z - z) + 2*z**2 + 0*z**2 + 0*z**2.
z**2
Expand (1 - 3 + 11)*(2 + 0 - 4)*(0*w + 0*w - w).
18*w
Expand (3*u - u - u)*(536 - 536 - 4*u**4 - 3*u**3 - 4*u**2).
-4*u**5 - 3*u**4 - 4*u**3
Expand (-9 + o - 2*o + 10)*(1 + 1 - 1)*(0 - 1 + 4 + (5 - 3 - 3)*(-2 - 3 + 2)).
-6*o + 6
Expand (9*x + 6*x - 7*x)*((1 + 2*x - 1)*(-4 + 4 + 2) + 2*x + 1 - 1).
48*x**2
Expand -3*p + 3*p + p + (-2 - 3 + 3)*(p - 4*p - 3*p).
13*p
Expand (0 + 0 + i**2)*(-3 + 3 - 2*i**2) - 22*i**4 + 0*i**4 + 0*i**4 + (-i**3 + 7*i**3 - 4*i**3)*(3 - 3 + i) + (2*i**3 + 0*i**2 + 0*i**2)*(i - i - 2*i).
-26*i**4
Expand ((-f + 0*f - f)*(2*f + 0*f - 4*f) + 2*f**2 + 1 - 1)*(-43*f - 20 + 20).
-258*f**3
Expand (2*u + 0*u + 0*u + 2*u - u - 2*u + (-4*u + 4*u + u)*(0 + 2 - 3) - u
|
{
"pile_set_name": "DM Mathematics"
}
|
is bigger: i or 0?
0
Let u(k) = 4*k. Let q be u(-2). Let l = q + 12. Suppose d + 33 - 8 = 4*n, -l*d - 3*n = 5. Do -5 and d have the same value?
True
Let x = -0.8 + 1. Let n = 4 - 18. Let z = -16 - n. Which is smaller: x or z?
z
Suppose 0 = -9*w + 16 + 164. Which is smaller: 21 or w?
w
Let v = -70 - -50. Let z be 4/(8/v*-5). Which is smaller: 3/4 or z?
3/4
Let f be (0 - (-4)/(-2))/((-263)/(-1)). Which is smaller: 1 or f?
f
Let m be -5*((-3)/5 - -1). Let p be (2/(-7))/((-2)/14). Let u be (2/(-6))/(p/12). Is m != u?
False
Let j be (-11)/3 - (-2)/3. Let k be j/3 - 1/(-1). Let c be (2/(-6))/(2/6). Which is greater: k or c?
k
Let y = 28 + -55/2. Let k = -2 - -1. Which is greater: k or y?
y
Suppose 5*a + 4*z + 18 = 48, 5*a - 2*z = 60. Is a greater than or equal to 10?
True
Let d(n) = -12*n**2 + n - 1. Let t be d(1). Let i be t/(-78) + (-24)/(-13). Is i smaller than 3?
True
Let c = -0.3 + 0.4. Let l = c - 0. Do l and -2/21 have the same value?
False
Let g(c) = 7*c - 1. Let a be g(-1). Let p = 7 + a. Is p < -1?
False
Suppose -u = 2 - 7. Suppose u*i - i = 12. Suppose -5*y + 8 = i. Which is smaller: -2/7 or y?
-2/7
Let m be (3/(-4))/(21/(-2)). Let f(w) = w. Suppose 5*s + 5*x = 0, -3*s + s - 4*x + 2 = 0. Let q be f(s). Which is smaller: m or q?
q
Let d(t) = -t**2 + 1. Let k be d(-1). Suppose k = 2*l - 0*l + 5*n + 8, n + 16 = -4*l. Is -4 greater than l?
False
Let d = 3 + 2. Are d and 4 unequal?
True
Let d(w) = w**2 + 6*w - 6. Let t be d(-7). Suppose -n - 4 - t = 0. Let h be (-6)/(2 + n) - 2. Which is smaller: h or 0.1?
h
Let x = -3 - 0. Which is bigger: x or -1?
-1
Let i = 81 - 62. Does 19 = i?
True
Let a be 89/(-249) + (-5)/(-15). Is a at most as big as 0?
True
Let k be 0/((-1)/2*-2). Let m = k - -1. Let b be 44/(-12) - 0 - -4. Is m at most as big as b?
False
Let d = 27 + -16. Let p = -11 + d. Which is bigger: p or -1?
p
Let s(z) = 2*z**2 + 23*z - 22. Let x be s(-12). Is x greater than or equal to -10?
True
Let f be ((-3)/102)/(2/16). Is 1 equal to f?
False
Let m be (-13)/(-3) + (-16)/(-24). Suppose -k = -m*y - 4, k - 5 + 1 = -3*y. Let x(j) = -j**3 + 3*j**2 + 3*j. Let q be x(4). Is y smaller than q?
False
Suppose 4*k - 2*k - 42 = 0. Suppose -19 = -3*q + 4*m, 0 = -0*q + q - 5*m - k. Are 0 and q unequal?
True
Let a(f) = f**2 - 1. Let g be a(2). Suppose 8 = -4*p + 4*c, g*p - 5 = 5*p - c. Let q be (p/2)/((-3)/6). Are q and 4 equal?
False
Suppose 2*y + 3*g = -9, -3*y - 3*g - 3 - 3 = 0. Suppose -5*n = -2 - y. Do -1/2 and n have different values?
True
Let c(b) = -2*b**2 + 7*b - 4. Let f be c(8). Is f at least as big as -76?
True
Let p be (-4)/8*(-257)/2. Suppose -29 = -4*s + 227. Let j = s - p. Which is bigger: j or 0?
0
Let a = -231/5 - -46. Let o be 30/8 - (-2)/8. Suppose 5*c = o*c. Is c equal to a?
False
Suppose -3*a + 44 = -a. Let x = a - 8. Are x and 14 equal?
True
Let m(c) = c**2 + 2*c - 3. Let a be m(-3). Suppose 4*b + a = -4. Let u(k) = k**3 - 14*k**2 + 12*k + 12. Let g be u(13). Is g at most b?
True
Let c be ((-90)/(-12))/(6/8). Let t be c/4 + (-2)/4. Suppose 16 = 2*p - 0*g - 2*g, p - 5*g - 28 = 0. Is t bigger than p?
False
Suppose 0 = -4*q + 3*k - 45, 46 - 12 = -3*q + 2*k. Which is bigger: -1 or q?
-1
Let w = 83/38 - 13/6. Which is bigger: w or -1?
w
Let o be ((-1)/3)/1*-12. Suppose 2*w + 17 = p - 2*w, 4*w + 5 = 5*p. Let u = o + p. Which is bigger: u or 0?
u
Let m(f) = -f - 1 + 3*f**2 + f**3 - 2*f + f. Let b be m(-3). Let z = 5 - b. Which is smaller: z or 2?
z
Let u = -18 + 22. Suppose -5*j = 3*p + 7, p = -u*j - 0*p - 7. Which is smaller: j or -13/4?
-13/4
Let y be (-6 + 2)/(-7 + 10). Let m = 31/12 + y. Which is smaller: m or 0?
0
Let f = -38 - -37. Is f smaller than 1/176?
True
Let h be -3 + 3 + 4 + -3. Which is greater: h or 0?
h
Suppose 0 = -y + 4*n - n + 8, 2*n = 2*y - 12. Is y <= 2?
False
Let p be (-3)/(-1) + -1 + -1. Let o be 15/(-6) - (-1)/(-2). Let j be (6/o + 1)/p. Are -1/2 and j non-equal?
True
Let g(f) = -2*f - 3. Let u(h) = -5*h - 7. Let r(j) = -9*g(j) + 4*u(j). Let t be r(-1). Which is smaller: -1/8 or t?
-1/8
Let o = 2.07 + -0.07. Let v = -2.2 + o. Which is smaller: 0.3 or v?
v
Let x be -2 - (4 + (-2 - 29)). Is 1/4 < x?
True
Let k(i) = 2*i**2 - 26*i + 3. Let s be k(13). Are 3 and s unequal?
False
Let o = -18 - -18. Is o smaller than 0?
False
Let a = -42395/252 + 3369/20. Let y = a + -14/45. Is -1 less than y?
True
Let w = -5 - -5. Suppose 5*d = 10, 3*d + 2 = -w*r + 4*r. Is 3 at most as big as r?
False
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the first derivative of -45661*z - 20854?
-45661
What is the second derivative of -1364558*a**2 - 2*a + 9343?
-2729116
Find the third derivative of -10*a**5 - 3265*a**4 + 2*a**3 + 227697*a**2.
-600*a**2 - 78360*a + 12
What is the second derivative of 1078*d**5 - 2*d**3 + 23*d**2 - 2*d - 704679 wrt d?
21560*d**3 - 12*d + 46
Find the second derivative of -i**3 - 2405*i**2 - 2484524*i wrt i.
-6*i - 4810
What is the third derivative of -186307*c**3 - 161666*c**2 wrt c?
-1117842
What is the derivative of i*r + 68036*i + 5667*r wrt r?
i + 5667
Find the third derivative of 97*g**3*k**3 - g**3*k**2*m**3 + 37*g**3*k*m**3 + 46*g**2*k**3*m**3 + 42*g*k**2*m wrt k.
582*g**3 + 276*g**2*m**3
Find the third derivative of -4353190*p**3 + 5200414*p**2 wrt p.
-26119140
What is the derivative of 87265*m**2 - 2*m + 552671?
174530*m - 2
Find the second derivative of 101874*q**5 + 64910*q.
2037480*q**3
What is the third derivative of 48409*j**3 + 3*j**2 - 2*j + 107?
290454
What is the derivative of 1420979*c**2 + 1099974?
2841958*c
What is the second derivative of -24675*o*p**3 + o*p - 2792*o - p**3 + 2*p - 1 wrt p?
-148050*o*p - 6*p
What is the first derivative of -561382*f - 5116446?
-561382
Differentiate 47637*l*o**3*t*x + l*o**2*t*x + 175*o**3*t*x + o**3*x - 13*o**2*t + 2*o*x - t*x with respect to l.
47637*o**3*t*x + o**2*t*x
What is the second derivative of -143*c**4*m**3 + 24*c**4 - 12*c*m**3 + 449*c*m**2 wrt c?
-1716*c**2*m**3 + 288*c**2
Differentiate 4*b*o*z + 2*b*o + 32*b*z**2 - 42*b*z - 336*o + 460*z**2 + z wrt b.
4*o*z + 2*o + 32*z**2 - 42*z
Find the third derivative of -94*f**3*k**2*l + 27*f**3*k*l - f**3 + 5*f**2*k**2*l - 24*f**2*k*l - f*l wrt f.
-564*k**2*l + 162*k*l - 6
What is the derivative of 627181*p**2 + 252507?
1254362*p
Find the second derivative of -139*j**4 + j**3 - 271*j**2 - 414253*j wrt j.
-1668*j**2 + 6*j - 542
Find the first derivative of -78751*v**2 + 130945 wrt v.
-157502*v
What is the first derivative of 2*o**3 - 16*o**2 - 26*o + 6245 wrt o?
6*o**2 - 32*o - 26
Find the second derivative of -229*k**2*w**2 - 13*k**2*w - 6*k*w**2 - 43*k wrt k.
-458*w**2 - 26*w
What is the third derivative of -56*c**4 - 11*c**3 + 26846*c**2?
-1344*c - 66
What is the third derivative of 233148*m**3 + 105831*m**2?
1398888
Find the second derivative of 1831*w**4 + 307*w**2 + 1612504*w + 1.
21972*w**2 + 614
Differentiate 207537*x**2 + 640105 wrt x.
415074*x
What is the second derivative of -80250*r**4 + 6601*r wrt r?
-963000*r**2
Find the third derivative of -1151*j**3*z + 14*j**3 - 3*j**2*z - 2*j**2 - 928*j*z + 2*z wrt j.
-6906*z + 84
Differentiate -85059*z**2 - 4358 with respect to z.
-170118*z
What is the third derivative of 261443*r**4 - 9*r**3 - 558*r**2 - 80*r wrt r?
6274632*r - 54
Differentiate -85569*h + 143447 wrt h.
-85569
What is the derivative of 3*b**2*p**2*v - 4*b**2 - 5*b*p**2 + 23*v wrt v?
3*b**2*p**2 + 23
Find the first derivative of -4*c*r*u + 2*c*r + 16*c*u**2 - 162*c + 3*r*u**2 + 239*r*u - r - 7*u**2 + 3 wrt c.
-4*r*u + 2*r + 16*u**2 - 162
Find the second derivative of 22*v**5 + 21865*v**2 + 2*v - 62069.
440*v**3 + 43730
What is the third derivative of 41110*h**3*u**5 + 2*h**3*u**3 + 4*h**3 + h**2*u + 29*h*u**2 + 2*h - 3*u**2 wrt u?
2466600*h**3*u**2 + 12*h**3
Differentiate -4*i**4 + 1594*i**2 - 49630 wrt i.
-16*i**3 + 3188*i
Find the first derivative of -3*j**3*p*x - 5*j**3*p - 5*j**3 + 4*j*x + 6*p*x - 33*x - 13 wrt x.
-3*j**3*p + 4*j + 6*p - 33
Find the third derivative of -824368*g**3 - 233744*g**2 wrt g.
-4946208
Find the first derivative of -6267*d**3*x + 3*d*x + 11089*x wrt d.
-18801*d**2*x + 3*x
What is the third derivative of -3*l*x**4 - 2*l*x**3 + 13*l*x**2 - 2*l*x + 25*x**4 - 400*x**3 + 25*x - 25 wrt x?
-72*l*x - 12*l + 600*x - 2400
What is the third derivative of -329813*j**3 + 8*j**2 - 21*j - 1?
-1978878
Find the first derivative of -2*n**3 - 834*n**2 + n - 13369.
-6*n**2 - 1668*n + 1
Differentiate -1118877*w + 1978909.
-1118877
What is the second derivative of -z**5 + 82*z**4 + 134*z**3 + 414673*z?
-20*z**3 + 984*z**2 + 804*z
Find the second derivative of 285585*y**3 + 1112673*y + 2.
1713510*y
Find the third derivative of 1021*i**5*t + 35*i**4*t + 3*i**2 - 29039*t wrt i.
61260*i**2*t + 840*i*t
Find the third derivative of 422*m**3*n**6 + 25*m**3*n**4 + 26116*m**3*n**2 wrt n.
50640*m**3*n**3 + 600
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 6*s(y). Differentiate b(z) wrt z.
39
What is the derivative of 2616 + 935*g - 901*g - 1466*g + 2979 - 1494*g wrt g?
-2926
Find the third derivative of 2006228*a**6 - 2003665*a**6 - a**3 + a**3 + 5437*a**2 wrt a.
307560*a**3
Let y be -1 + -1*(-1 + 0/(-1)). Suppose y = 2*a + 6*x - x - 15, 2*a + 4*x - 16 = 0. What is the second derivative of -21*n**5 + a*n - 6*n + 8*n + 0*n wrt n?
-420*n**3
What is the second derivative of -15 + 15 - 1205*x**2 - 177*x - 521*x**2 + 424*x**2 wrt x?
-2604
What is the derivative of 75 - 231 + 702 - 3*f - 24*f**3 - 26*f**3 + 809 wrt f?
-150*f**2 - 3
Let h = 103 + -143. Let r = h + 55. Find the second derivative of 5*y - 12*y - y + r*y**2 + 0*y wrt y.
30
Find the third derivative of 1376*t**3 + 2177*t**3 + 749*t - 299*t - 1232*t + t**2 wrt t.
21318
Let l(y) = 11541*y**2 - 30*y + 2066. Let w(k) = -28853*k**2 + 78*k - 5165. Let j(m) = 13*l(m) + 5*w(m). Differentiate j(v) with respect to v.
11536*v
Suppose 23*n = 60*n - 185. Find the second derivative of 26*s + 32*s - 30*s**n - 61*s**5 wrt s.
-1820*s**3
Let r(b) = 80*b + 13. Let q(c) be the third derivative of -c**4/24 + c**3/6 + 28*c**2. Let l(k) = -4*q(k) - r(k). Find the first derivative of l(g) wrt g.
-76
Let t(q) = -11*q + 201. Let b be t(18). Find the third derivative of -184*p**3 + 160*p**b - 3*p**2 - 7*p**2 wrt p.
-144
Let x(z) be the first derivative of -1850*z**3/3 - z**2 + 156*z - 2262. What is the second derivative of x(v) wrt v?
-3700
Let c = 47 - 26. Let i be (-5)/((-15)/c) - (-1 + 4). What is the second derivative of 8*n**i + 4*n**4 + 0*n**4 - 6*n wrt n?
144*n**2
Let x = 30 + -39. Let o be ((-12)/x)/((-8)/(-36)). What is the third derivative of 11*p**3 - 5*p**3 - 4*p**2 - o*p**2 wrt p?
36
Suppose -16*z = -365 + 125. Let v(c) be the second derivative of 17/6*c**3 + z*c + 0 + 7*c**2. Find the first derivative of v(d) wrt d.
17
Differentiate -622 + 140 + 6170 - 9210*b**3 wrt b.
-27630*b**2
Suppose -216*p = -220*p + 40. What is the third derivative of 3 - 5 + 47*m**3 + p*m**3 + m**2 + 7*m**2 - 2*m**2 wrt m?
342
Let t(k) = -3*k**3 - 420*k**2 - 505. Let n(s) = -4*s**3 - 419*s**2 - 514. Let j(b) = 4*n(b) - 5*t(b). Differentiate j(a) wrt a.
-3*a**2 + 848*a
Let r be (0 + -4)/(5/(-10)). What is the second derivative of -462*c**3 + r + 0*c - 2*c - 27 + 471*c**3 wrt c?
54*c
Find the third derivative of 534*z**5 + 895*z**2 + 220*z**5 + 259*z**5 + 103*z**2 wrt z.
60780*z**2
Differentiate -2*o**4 - 14*o**3 + 3336 - 513*o**3 - 453*o**3 - 52*o**3 wrt o.
-8*o**3 - 3096*o**2
Let y(p) be the second derivative of 292*p**6/5 - p**3/3 + 46*p**2 + 1348*p. What is the second derivative of y(o) wrt o?
21024*o**2
Suppose 4*q - 8123 = 10153. Find the second derivative of -4569*y**2 - 2*y**5 - 3 - 3*y**3 - 22*y + q*y**2 wrt y.
-40*y**3 - 18*y
Suppose -3*h - 3*n = -7*n - 29, -3*n = -12. Let d be ((-10)/h)/(4/6)*-5. Find the first derivative of -2*a + 12 - 8*a + 12*a - d*a wrt a.
-3
Let b(t) be the second derivative of -4 + 1/6*t**4 + 73/6*t**3 + 28*t**2 - t. Find the first derivative of b(r) wrt r.
4*r + 73
Let l = -120 + 123. Find the second derivative of -2*g**l - 11*g - 11*g + 24*g**3 wrt g.
132*g
Let i(j) be the second derivative of 763*j**3/3 + 1311*j**2/2 + 3*j - 394. Differentiate i(l) with respect to l.
1526
What is the first derivative of -22*d**4 - 27*d**4 + 3*d**2 - 32*d**4 - d**2 - 33*d**4 - 685 wrt d?
-456*d**3 + 4*d
Let g(c) = 1010*c**2 - 334*c - 12. Let o(u) = 6060*u**2 - 2010*u - 68. Let a(x) = -34*g(x) + 6*o(x). What is the second derivative of a(b) wrt b?
4040
Let h(o) be the second derivative of 0*o**5 + 1 - 47/30*o**6 - 77*o**2 + 0*o**4 + 0*o**3 - 3*o. Differentiate h(v) wrt v.
-188*v**3
Let q(p) be the third derivative of 12293*p**6/120 + 1033*p**5/5 + 25*p**2 + 104. What is the third derivative of q(f) wrt f?
73758
What is the second derivative of 672*h**5 - 360*h**5 - 315*h**5 - 431*h + 895*h**5 + 1 + 533*h**5 wrt h?
28500*h**3
Differentiate -262*u**2 + 3*u - 6*u - 922 + 223*u**2 + 0*u with respect to u.
-78*u - 3
Find the second derivative of -3965*f**2 + 432*f**2 - 6444*f**2 + 15 - 3 + 9*f + 1399*f**2 wrt f.
-17156
Let o(r) be the second derivative of 1449*r**5/4 + 1830*r**2 + 6*r - 370. Differentiate o(n) wrt n.
21735*n**2
Let b(x) = 61*x + 46*x + 92*x + 3. Let a(d) = 399*d + 7. Let t(s) = -3*a(s) + 5*b(s). What is the derivative of t(r) wrt r?
-202
Let r(y) be the first derivative of 8*y**6/3 - 37*y**2/2 + 15*y - 5. Let d(x) be the first derivative of r(x). Differentiate d(t) with respect to t.
320*t**3
Suppose -2*
|
{
"pile_set_name": "DM Mathematics"
}
|
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