text
stringlengths
270
8.19k
meta
dict
159 What is 45 + 11096? 11141 What is 0 minus 1.4? -1.4 What is -0.01 less than 1041? 1041.01 What is 0 + -0.6115? -0.6115 What is 7 - 23.3? -16.3 Total of -35107 and 33. -35074 What is 0.03 minus 15595? -15594.97 What is -191002 less than -5? 190997 What is the distance between -0.097 and -509? 508.903 Work out -4 - 4...
{ "pile_set_name": "DM Mathematics" }
be the third derivative of 14*p**2 + 22/3*p**4 + 0 + 0*p + 7/10*p**6 + 62/15*p**5 + 16/3*p**3. Let g(v) = 0. Calculate v. -2, -2/3, -2/7 Let h(x) = -2*x**2 + 580*x - 42065. Let t(g) = g**2 - 290*g + 21031. Let b(d) = 2*h(d) + 5*t(d). Factor b(j). (j - 145)**2 Let m = -1137 - -1138. Let c be (-21)/(-504)*44/m. Solve 35/...
{ "pile_set_name": "DM Mathematics" }
+ 5*s(d). Factor k(y). (y + 7)*(3*y - 2) Let a = -500 - -503. Let p(k) be the first derivative of 3/16*k**4 + 1 - 1/20*k**5 - 1/12*k**a + 1/2*k - 3/8*k**2. Suppose p(d) = 0. Calculate d. -1, 1, 2 Let i be 10/(-55) + (-47)/(-77). Let w(n) be the first derivative of 1/7*n**3 - i*n**2 + 4 + 3/7*n. Find x such that w(x) =...
{ "pile_set_name": "DM Mathematics" }
4, 27902, 27898, 27892, 27884, 27874, 27862? 27848 What comes next: 82, 129, 216, 349, 534, 777? 1084 What is next in -104, -109, -118, -131, -148, -169, -194? -223 What is the next term in 500, 510, 530, 566, 624, 710, 830? 990 What is the next term in 166, 168, 184, 220, 282? 376 What comes next: -166, -663, -1490, -...
{ "pile_set_name": "DM Mathematics" }
he form x*n**2 + m + t*n**3 + d*n + s*n**4 and give t. -1 Express -483*u - 426*u + 65*u as z + v*u and give v. -844 Rearrange -17*v + 18285 - 9146 - 9146 to the form s + r*v and give r. -17 Rearrange (11 - 2*q**3 - 9 + 4*q**3)*(-12*q + 45 - 45) to j*q**3 + x + n*q**2 + a*q + s*q**4 and give s. -24 Rearrange (-q**3 - q*...
{ "pile_set_name": "DM Mathematics" }
a prime number? True Suppose 0 = 5*q - q - 1196. Is q a composite number? True Let a(n) = 108*n**2 - 4*n - 5. Is a(-3) composite? True Let g(u) = u - 161. Let a be g(0). Let r = -108 - a. Is r prime? True Suppose -f + 2*f - 59 = 0. Is f composite? False Suppose 5*x - 6*x + 391 = 0. Is x composite? True Suppose 3*v - 16...
{ "pile_set_name": "DM Mathematics" }
is 3/((-126)/3)*(-140)/(-800)*-8? 1/10 What is the value of ((258/10)/(-3))/(12384/(-1376)*1/(-9))? -43/5 ((472/1652)/(16/14))/(22/(-48)) -6/11 Evaluate 240/56*(-26775)/2295. -50 -19*69/15732*-8*1/13 2/39 What is (77/(-22))/((-4)/5)*-11*(-100)/(-275)? -35/2 What is the value of ((-36*18/1944)/((-2)/(-150)))/((-18)/3)?...
{ "pile_set_name": "DM Mathematics" }
- 2053452*s + 45177880. -4*(s - 22)*(s + 513385) Solve -2*m**2 + 3647810*m - 10943412 = 0 for m. 3, 1823902 Factor q**3 - 42746*q**2 - 641361*q - 2309094. (q - 42761)*(q + 6)*(q + 9) Solve -2*d**5/3 - 512818*d**4/3 - 32874582460*d**3/3 - 230104641692*d**2/3 - 164356502422*d - 98612978406 = 0 for d. -128201, -3, -1 Fact...
{ "pile_set_name": "DM Mathematics" }
y be (-133)/(-9) + (56/(-36))/(-7). Suppose -y = 27*i - 24*i. Which is the second smallest value? (a) 0.01 (b) i (c) 5 a Let s = 1.167 - 6.167. Which is the fourth smallest value? (a) 0.8 (b) -1/2 (c) s (d) -1 a Let z = 2557/12 + -214. Let w = z + 5/12. Let h = 1.63 - 0.63. What is the third biggest value in w,...
{ "pile_set_name": "DM Mathematics" }
mon denominator of l and -45/26. 208 Find the common denominator of (203/70)/(48/(-10)) and -133/12. 48 Let a = -5 - -4. Let f be 1/(a/(-75) - 0). Suppose x = -w + 4 + 5, 5*x - f = 5*w. What is the least common multiple of 4 and x? 12 Calculate the common denominator of (((-450)/(-12))/(-3))/((-6)/(-4)) and 79/15. 15 C...
{ "pile_set_name": "DM Mathematics" }
hen three letters picked without replacement from {m: 1, x: 4, o: 1, k: 2, y: 1, n: 6}? 6/455 What is prob of picking 1 j and 2 p when three letters picked without replacement from {p: 5, j: 3}? 15/28 Two letters picked without replacement from gngggnbnggbggyggbng. What is prob of picking 1 n and 1 g? 44/171 Four lette...
{ "pile_set_name": "DM Mathematics" }
i be (-343)/x + (-1)/(-2). Let h be (-4)/10 + 835/i. Calculate the highest common divisor of h and 11. 11 Let n = -35 + 6. Let b = n + 30. What is the highest common factor of 1 and b? 1 Let a(i) = i**3 - 4*i**2 + 8*i + 5. Let v be a(5). Calculate the greatest common factor of 14 and v. 14 Suppose 5*f - 134 = -5*h + 27...
{ "pile_set_name": "DM Mathematics" }
(-102)/156060*9146 - 2/20*-2? -52/9 What is ((-4)/(-1))/((-1)/(-4))*(-74)/(21016/(-426))? 24 Calculate 9*((-10)/(-5))/((-30)/45)*4/4. -27 What is the value of (-66)/(-14553)*-21*3? -2/7 What is the value of -41*(-112)/(-3444)*(-15)/(-1)? -20 Calculate ((-45110)/2002 + (-230)/(-10))/(6/28). 24/11 What is (2/10 + (-56)/...
{ "pile_set_name": "DM Mathematics" }
between 8:27 AM and 3:07 PM? 400 What is 139 minutes before 1:59 AM? 11:40 PM What is 688 minutes after 6:48 PM? 6:16 AM How many minutes are there between 3:25 PM and 9:36 PM? 371 How many minutes are there between 12:53 AM and 11:45 AM? 652 How many minutes are there between 6:33 AM and 11:43 AM? 310 What is 20 minu...
{ "pile_set_name": "DM Mathematics" }
0 Solve 172*r - 3*t = 177*r + t - 36, -7*t + 63 = 0 for r. 0 Solve -5*k + 5*u - 53 + 43 = 0, k = -10*u + 64 for k. 4 Solve -4*x + 14 = 2*c, 11*x + 17 - 17 - 21 = -2*c for c. 5 Solve -80*p + 84*p = -h + 21, -2*h - 10 = -5*p for p. 4 Solve -379*c = 2*j - 381*c + 12, -12*c = 3*j - 117 for j. 3 Solve -5*o - 159 = -5*t - 10...
{ "pile_set_name": "DM Mathematics" }
5:41 PM and 10:11 PM? 270 How many minutes are there between 12:31 AM and 6:38 AM? 367 What is 596 minutes after 1:27 PM? 11:23 PM How many minutes are there between 10:05 AM and 2:19 PM? 254 What is 482 minutes after 7:44 AM? 3:46 PM What is 625 minutes after 1:14 PM? 11:39 PM What is 167 minutes after 2:08 AM? 4:55 ...
{ "pile_set_name": "DM Mathematics" }
'th term of 1254, 2511, 3768, 5025, 6282? 1257*f - 3 What is the h'th term of 19, 53, 87? 34*h - 15 What is the i'th term of 21, -1, -27, -57, -91, -129, -171? -2*i**2 - 16*i + 39 What is the o'th term of -6, -14, -34, -72, -134, -226, -354, -524? -o**3 - o - 4 What is the h'th term of -149, -147, -145? 2*h - 151 What ...
{ "pile_set_name": "DM Mathematics" }
. 16 Solve 2593*s - 2616*s = 92 for s. -4 Solve 1151*h - 255 = 1202*h for h. -5 Solve 0 = 636*a + 1646 - 783 + 2317 for a. -5 Solve 0 = 62*t + 369 + 692 - 7 for t. -17 Solve -19 = 1264*y - 1245*y - 95 for y. 4 Solve 0 = 294*y - 789*y - 10395 for y. -21 Solve 73*n = -34*n - 548*n + 7860 for n. 12 Solve 302 = -138*q + 44...
{ "pile_set_name": "DM Mathematics" }
True Suppose 0 = -5*u - 141 - 34. Let a be ((-60)/u)/(3 + 57/(-21)). Does 18 divide a/(((-12)/(-232))/1)? False Suppose 0*a + a + 491 = 3809. Is 79 a factor of a? True Let f be (-48)/(-84) + (-76)/(-14). Suppose -12*g + 7*g - 220 = 0. Let d = f - g. Is d a multiple of 9? False Let z be ((-21)/(-14))/((-13)/(-6) + -2). ...
{ "pile_set_name": "DM Mathematics" }
t the terms in -8847470976 - 2*u + 8847470976. -2*u Collect the terms in 28*x**2 + 28*x + 9*x + 28*x - 9*x. 28*x**2 + 56*x Collect the terms in 0*l - 989*l**3 + 0*l - 710*l**3. -1699*l**3 Collect the terms in -7700 + 8908 - 19287 + 781 - 2*q - 37603. -2*q - 54901 Collect the terms in -75777342*f + 557 + 75777338*f - 55...
{ "pile_set_name": "DM Mathematics" }
for w. -2 Let v(z) = -11*z - 2. Let g be v(4). Let y = -253 - -222. Let b = y - g. Solve -2*u + 7*u = b for u. 3 Let d(t) = 4*t + 11. Let y be d(-4). Let a be 58*(2 + y/2). Let j = -27 - a. Solve 0 = 2*s - j for s. 1 Suppose -i - 2*j + 7 + 3 = 0, 27 = 3*i + 5*j. Solve 19*q + i = 17*q for q. -2 Suppose -1 = -j + 3*n, -3...
{ "pile_set_name": "DM Mathematics" }
eger? 108 What is the cube root of 3085 to the nearest integer? 15 What is the sixth root of 12007 to the nearest integer? 5 What is the square root of 26629 to the nearest integer? 163 What is the square root of 34147 to the nearest integer? 185 What is 2048 to the power of 1/3, to the nearest integer? 13 What is the ...
{ "pile_set_name": "DM Mathematics" }
-6. Let x = -2.1 - 18.9. Let h = 21 + x. Put -0.5, s, h in decreasing order. h, -0.5, s Suppose -3*k + 20 = 11. Let z be (-36)/48 - k/(-4). Sort -2, z, 7 in ascending order. -2, z, 7 Let i = -68 + 76. Let m be (i/(-15))/(6/9). Sort m, 4, 3 in descending order. 4, 3, m Let n be (-3)/2*(-1 + -1). Suppose 2*c - 2*t + 10 ...
{ "pile_set_name": "DM Mathematics" }
tors of 1901955175. 5, 127, 353, 1697 List the prime factors of 313334912. 2, 11, 139, 1601 What are the prime factors of 15358221? 3, 568823 What are the prime factors of 51590337? 3, 17196779 List the prime factors of 2657203614. 2, 3, 13, 11355571 What are the prime factors of 979983557? 7, 139997651 What are the pr...
{ "pile_set_name": "DM Mathematics" }
. -4, 0, d Let o(q) = -q**2 - 12*q - 15. Let i be 5/(-30) - 130/12. Let w be o(i). Sort -6, -5, w in increasing order. -6, -5, w Let n be (-2)/4*(-2 - -1). Let u = 0.15 - 0.05. Let s = -0.09 + 2.09. Put n, u, s in decreasing order. s, n, u Let q(a) = -a**3 - a**2 - a - 1. Let u be q(-2). Suppose -u - 5 = -2*t. Sort 4, ...
{ "pile_set_name": "DM Mathematics" }
(14/280)/1 + 459/20 23 What is the value of 5/2*(-11172)/(-237405)? 2/17 What is (2/4)/(110/(56 - -274))? 3/2 What is (-4)/62 - (18 + (17895/775)/((-56)/40))? -11/7 What is ((-1617)/(-315))/(-77) + (-165)/(-7650)*-46? -18/17 Evaluate (12/(-385))/((-6402)/(-5335)). -2/77 What is -18*((-16)/12 - (-40 - 20910/(-459)))? 1...
{ "pile_set_name": "DM Mathematics" }
65 to the power of 1/3, to the nearest integer? 15 What is 4514 to the power of 1/8, to the nearest integer? 3 What is the cube root of 162474 to the nearest integer? 55 What is 8160 to the power of 1/3, to the nearest integer? 20 What is the cube root of 1223 to the nearest integer? 11 What is the tenth root of 1257 t...
{ "pile_set_name": "DM Mathematics" }
the prime factors of 28190010? 2, 3, 5, 653, 1439 List the prime factors of 1405589293. 223, 6303091 List the prime factors of 3543538522. 2, 79, 22427459 What are the prime factors of 8637092? 2, 53, 131, 311 What are the prime factors of 445091608? 2, 13, 149, 28723 What are the prime factors of 2004532024? 2, 11, 40...
{ "pile_set_name": "DM Mathematics" }
rue Suppose -5*s + 213 = 3*g - 259, -5*g - 100 = -s. Is 5 a factor of s? True Let w be (-6)/(-8) - (-1506)/8. Suppose h - 4*h - w = 0. Let u = h - -102. Is 13 a factor of u? True Suppose w - 13 = -4*o, 0*o + 4*w - 13 = -3*o. Does 27 divide (o + -1)/((-8)/(-436))? False Suppose -3*k + 4 = -8. Suppose 0 = -z - 0*z - b - ...
{ "pile_set_name": "DM Mathematics" }
9*u wrt t? -2246*t*u - 996*t + u + 1 Find the second derivative of m**2*q**3 - 553951*m**2*q**2 - 47*m*q**3 - 30*m*q**2 - 50*m*q - 2*q**3 - 1 wrt m. 2*q**3 - 1107902*q**2 What is the third derivative of 9886485*x**5 - 429*x**2 - 1911? 593189100*x**2 Find the third derivative of -v**5 + 48*v**4 + 195928*v**3 - 6*v**2 + ...
{ "pile_set_name": "DM Mathematics" }
9/(-3)*(-23604)/(-2529). -28 (-258)/1376*26*((-160)/(-12))/(-5) 13 ((-7)/28*18)/(564/94) -3/4 Calculate ((-90)/(-767340)*-42)/((-2)/(-14)). -1/29 What is (1316/(-3102))/(330/27225)? -35 5/(-22)*(21962/(-695))/(-79) -1/11 Evaluate ((-3)/((-17)/(408/396)))/((-380)/(-110)). 1/19 (-5480)/(-35072)*224/40 7/8 What is 10/(9*(...
{ "pile_set_name": "DM Mathematics" }
1? (a) 2/11 (b) 0.4 (c) s a Let r be (-4)/12*-4 - 1. What is the nearest to -1 in -5, r, -0.1? -0.1 Let s = -16 + 17. What is the nearest to 0.1 in 5, 0.1, s? 0.1 Let r(v) = v + 12. Let k be r(-9). Let y be ((-1)/k)/(5/3). Which is the closest to 0? (a) 4 (b) 2 (c) y c Let o = -296 + 4438/15. Let l = 0.39 - -0.01...
{ "pile_set_name": "DM Mathematics" }
0 What is the lowest common multiple of 2104 and 16? 4208 What is the lowest common multiple of 53528 and 9? 481752 Calculate the common denominator of 59/100 and -49/20. 100 Find the common denominator of -39/4 and -10/149. 596 Find the common denominator of -113/18 and 33/100. 900 Calculate the common denominator of ...
{ "pile_set_name": "DM Mathematics" }
hs of a kilometer in meters? 1375 What is fifty-five halves of a millennium in years? 27500 What is 1/4 of a day in seconds? 21600 Convert 0.0020584 milligrams to grams. 0.0000020584 Convert 892.8137 centimeters to millimeters. 8928.137 How many decades are there in 95107.86 months? 792.5655 Convert 142250.01 hours to ...
{ "pile_set_name": "DM Mathematics" }
nd 22155? 3478335 What is the smallest common multiple of 86 and 2836? 121948 Calculate the lowest common multiple of 1904 and 80368. 9563792 Calculate the common denominator of 25/742086 and -1/308. 114281244 What is the common denominator of 113/888 and -89/6793940? 40763640 Calculate the smallest common multiple of ...
{ "pile_set_name": "DM Mathematics" }
/2 - 4*a**2. Let p be q(5). Solve -18 - p*l**2 - 2*l + 6 + 10*l**2 = 0. -2, 3 Let x = 56 - 53. Suppose x*b - 6 = -o, 4*b - 8 = 2*o - 4*o. Suppose 26*v**3 + 17*v**b - 30*v - 31*v**3 + 8*v**2 = 0. Calculate v. 0, 2, 3 Let v be (-16)/(-40)*95/76. Let k(s) be the first derivative of 1/12*s**6 - 1/4*s**4 - 1/3*s**3 - 4 + 1/...
{ "pile_set_name": "DM Mathematics" }
-1 = r - 3 for n. 1 Solve 0 = 5*k + 5*r + 2 - 97, 2*r = -16*k + 360 for k. 23 Solve j = 4*o + 3, -96*o + 20 = -97*o + 3*j for o. 1 Solve -c = 3*j + 18, -108*c = 8*j - 103*c + 41 for j. -7 Solve -a - 2*a - 20 = 8*l, 7800*a + l = 7798*a - 9 for a. -4 Solve -1583 + 1560 = -2*k + 5*i, -7*k - 5*i - 32 = 0 for k. -1 Solve -2...
{ "pile_set_name": "DM Mathematics" }
to -1? (a) -6 (b) 5 (c) 2 (d) 1/8 (e) -0.486 e What is the closest to -1/4 in -4, 2/745, 2/3, -2/5, 5? -2/5 What is the nearest to 1 in -3, 1/4, -3077, -3/4? 1/4 What is the closest to 1/4 in -0.4, -15, 0.05, 392, 0? 0.05 Which is the nearest to -1? (a) 2/13 (b) 1.83 (c) -2 (d) 0.21 (e) 7 c Which is the near...
{ "pile_set_name": "DM Mathematics" }
) - 2). -3/16 Evaluate (40 - 37)*((-20)/(-60) - (-15)/(-3)). -14 Evaluate (-546 - -495) + -9 + -4. -64 Calculate 12/162*-2*(-27)/6. 2/3 What is 345/((-72450)/(-280)) - (-344)/(-6)? -56 Evaluate 1/33 - ((-2134480)/(-973500)*-5 - -11). -2/295 Calculate (1482/(-42588) - 6/117*-3)/((-100)/(-160)). 4/21 What is the value of...
{ "pile_set_name": "DM Mathematics" }
- 11*p + 10*p. Suppose -4*q = 3*l - 20, -4*q = 5*l - 0*l - 20. Calculate w(l). -10 Let w(z) = -15*z**2 + z - 1. Suppose 5 = 5*u + 5*v, 3*u + 2*v - v = 3. What is w(u)? -15 Let d(s) = s**3 + 5*s**2 + 4*s + 5. Let q be (3 - -1)*(0 + -1). Calculate d(q). 5 Let f(c) = 6*c - 1. Let p = -15 - -16. What is f(p)? 5 Let f be (...
{ "pile_set_name": "DM Mathematics" }
-8.2486 + 463.8946. Let n = m + -458.046105. Let k = 2.4 + n. What is k rounded to five dps? -0.00011 Let o = -0.419 - -0.221. Let u = -0.11 - o. Let w = u - 0.026. What is w rounded to 2 decimal places? 0.06 Let p = 15.36 + -16. Let w = -3.3 + -2.26. Let y = w + p. Round y to 0 decimal places. -6 Let w = -1 + 6. Suppo...
{ "pile_set_name": "DM Mathematics" }
n. Calculate -3*d(t) - 8*w(t). t**3 + 28*t Let d(g) = 15*g**3 + 23*g**2 + 8*g + 1. Let m(n) = 42*n**3 + 69*n**2 + 22*n + 3. What is -11*d(l) + 4*m(l)? 3*l**3 + 23*l**2 + 1 Suppose 0 = 11*w - 6*w + 10. Let j(y) = 4*y. Let v(n) = 5*n + 1. Give w*v(q) + 3*j(q). 2*q - 2 Let s(k) = -3*k**2 + 6*k - 1. Let b(l) = -l**2 + 2*l ...
{ "pile_set_name": "DM Mathematics" }
) = k**3 - 8*k**2 + 2*k - 3. Give d(6). -63 Let j(p) = -p + 1. What is j(-7)? 8 Let q(z) = 2*z + 4. Determine q(9). 22 Let c(x) = -x**3 - 12*x**2 + 14*x - 30. What is c(-13)? -43 Let l(o) = 2*o**2 + 5*o. What is l(-3)? 3 Let s(v) = -5*v**2 - 2*v + 5. Determine s(-5). -110 Let j(i) = i**3 + 3*i**2 + 8*i + 5. Calculate j...
{ "pile_set_name": "DM Mathematics" }
re the prime factors of 13246? 2, 37, 179 List the prime factors of 8454. 2, 3, 1409 List the prime factors of 6602. 2, 3301 What are the prime factors of 15034? 2, 7517 List the prime factors of 8112. 2, 3, 13 List the prime factors of 52793. 13, 31, 131 What are the prime factors of 455? 5, 7, 13 What are the prime f...
{ "pile_set_name": "DM Mathematics" }
0)? -1/2 What is (40/60)/(8/6)? 1/2 Calculate (-7)/(-5) - 2 - 183/(-255). 2/17 (6*3/(-20))/((-12)/5) 3/8 Evaluate (2 - 18/4)*(-4)/(-2). -5 What is (-9)/6*(1 - 2)*2? 3 Calculate ((-6)/8)/(-3) + 12/16. 1 What is -2 + (-9)/(-5 + 8)? -5 Evaluate (64 - 62)/((-2)/(-7)). 7 (-48)/(-60) + 2/10 1 Calculate (-7)/(-14) - 14/4*-1. ...
{ "pile_set_name": "DM Mathematics" }
in 14*m**3 + 8*m**2 - 15*m**2 + 7*m**2. 14*m**3 Collect the terms in 19*g + 45*g - 63*g. g Collect the terms in -5*a + 3*a + a - a. -2*a Collect the terms in 6*r**2 + 1274 - 2*r**2 - 1274. 4*r**2 Collect the terms in -7*t**2 + t**2 + 2*t**2 + t**2. -3*t**2 Collect the terms in -47*n + 4 - 5 + 49*n + 1. 2*n Collect the...
{ "pile_set_name": "DM Mathematics" }
.18 a Which is the sixth biggest value? (a) -5 (b) -0.2 (c) 6.82 (d) 0.1 (e) -0.1 (f) 5 (g) -154 a Which is the third smallest value? (a) -3/4 (b) -0.01 (c) -2.088 (d) 0.15 (e) 2/17 (f) -2 (g) 3/8 a What is the fifth biggest value in -1, -0.209, 2.52, 2/11, -14? -14 What is the biggest value in -2/3, -1, ...
{ "pile_set_name": "DM Mathematics" }
te? False Let j(q) = -q**3 + 2*q**2 + 3*q + 3. Let v be j(3). Suppose 0 = -p - 0 + v. Suppose 3*i - 311 = -4*n, -p*i - 316 = -4*n - 7*i. Is n composite? True Let a = -7381 + 11192. Is a prime? False Let z(y) = -6*y**2 - y + 1. Let r be z(4). Suppose 7*u + 311 = 9*u + f, 5*u - 3*f = 761. Let v = u + r. Is v a prime numb...
{ "pile_set_name": "DM Mathematics" }
+ 200. Round p to two decimal places. -0.27 Let o = 220 - 153. Let q = -66.979 + o. Round q to two dps. 0.02 Let x = 773 + -765.22. Let z = 2.69 - x. Round z to one decimal place. -5.1 Let n = 266108.9860085 - 266403.724. Let r = n - -294.8. Let y = r + -0.062. What is y rounded to 6 decimal places? 0.000009 Let d = 59...
{ "pile_set_name": "DM Mathematics" }
24/5 = 0. What is d? 4, 4807828 Solve 3*c**2/2 + 1861545*c/2 = 0. -620515, 0 Factor 3*b**3 + 71718*b**2 + 424432707*b - 50203914108. 3*(b - 116)*(b + 12011)**2 Suppose 4*s**3 - 9104*s**2 + 5144780*s - 25496800 = 0. Calculate s. 5, 1015, 1256 Determine o so that 16*o**4/9 - 30592*o**3/3 + 7508500*o**2/9 - 2479892*o/3 + ...
{ "pile_set_name": "DM Mathematics" }
12)*2)**2*-2. -497736 - 6912*sqrt(3) Simplify ((-3*6*sqrt(132)*-4*2)/((sqrt(84) - ((sqrt(84) + 2*sqrt(84) - sqrt(84))*3 + sqrt(84) + sqrt(84)))/(-2*sqrt(63) - sqrt(7))))**2. 228096 Simplify (-4*(0 + -2*sqrt(1377)) + 4 + sqrt(1377)*-4 + 1 + 4 + -1)**2. 576*sqrt(17) + 22096 Simplify (sqrt(190)*-2*6 + -3*sqrt(190)*-3)/((s...
{ "pile_set_name": "DM Mathematics" }
be t(-20). Let r be 3/30 + (-82)/v. Let z be -27*(-10)/(-4 + 3 - r). Round z to the nearest ten. 90 Let m = -12857.9998379 - -12858. What is m rounded to 5 dps? 0.00016 Let o = 0.161352 + -0.14563. Round o to 4 dps. 0.0157 Let v = -846.878817906 + 937.6722979. Let i = 0.206639006 + v. Let p = i + -91. What is p rounded...
{ "pile_set_name": "DM Mathematics" }
the first derivative of b(q). Determine a(x(u)). u**2 Let t(y) be the second derivative of -2*y + 2/3*y**4 + 0*y**3 + 0 + 0*y**2. Let s(c) = c**2. Determine t(s(n)). 8*n**4 Let g(p) = -17*p**2. Let x(z) = -2*z**2 - 99 + 99. What is x(g(h))? -578*h**4 Let p(v) = -24*v. Let m(y) = -6*y**2. Calculate m(p(b)). -3456*b**2 L...
{ "pile_set_name": "DM Mathematics" }
qrt(847)) + sqrt(847) - (0 + sqrt(847)*-2)) + 4*(sqrt(847) + sqrt(847)*-2*1 + sqrt(847) + 1*sqrt(847) + -5))**2. -1650*sqrt(7) + 8249 Simplify -3*(((5 + sqrt(720) + -3 + sqrt(720) + 3 + sqrt(720))*2)**2 + -5). -78045 - 4320*sqrt(5) Simplify ((sqrt(864) - (sqrt(864)*-1*-5 + sqrt(864)) - sqrt(864))*-1)/((sqrt(8)/sqrt(8))...
{ "pile_set_name": "DM Mathematics" }
p? False Let t = 0 - -4. Suppose 0*y + t = -4*y. Which is smaller: -1/5 or y? y Let s = -1.2 - -8.2. Let n = 1.7 + 1.3. Let l = s - n. Is 1/2 not equal to l? True Let q = 3.25 + -1.17. Let m = -6 + 4. Let b = q + m. Which is greater: 2/3 or b? 2/3 Suppose -10 - 10 = -4*n - 5*f, 2*n + 5*f - 20 = 0. Suppose n = 2*u - 1 ...
{ "pile_set_name": "DM Mathematics" }
a - v - 7 = 0 for a. -1 Let d = 191 - 190. Solve -3*y + d = -5*w + 9, 0 = y + 2*w - 12 for y. 4 Let t be 0*(0 - -2 - 1). Suppose t = r - 5*r - u + 23, -3*r - 4*u + 1 = 0. Let x be 8/12 + r/3. Solve x*f - 3*m + 24 = 0, -3*m - 2*m = -20 for f. -4 Suppose 4*y + 5*g = 43, 2*y - 16 = -2*g + 6. Let d be 2*(-3)/y*0. Suppose ...
{ "pile_set_name": "DM Mathematics" }
1657/30) Simplify (f**(-8/5)*f**(-14))/(f**22/f**(-7/3)) assuming f is positive. f**(-599/15) Simplify ((u/u**(1/10))/u**(-8))**(2/27)*(u**2*u)/(u**(-7)/u*u)*(u/(u*u/u**(-1)*u*u*u*u)*u)**29 assuming u is positive. u**(-18136/135) Simplify ((l**(27/2)*l**(2/19))/(l/(l/((l*l/(l*l*l**(-28)))/l))*l*l/(l*(l*l**(6/7))/l)))**...
{ "pile_set_name": "DM Mathematics" }
at is the highest common divisor of 10 and t? 5 Let z(w) = 6*w**2 - 50*w + 160. Let o be z(8). What is the highest common divisor of o and 88? 8 Let b be 2340/8*10/4*184/69. Calculate the highest common factor of b and 234. 78 Let b = -5556 + 6282. Calculate the highest common divisor of b and 1254. 66 Let u = -932 - -...
{ "pile_set_name": "DM Mathematics" }
m - 2. Solve 0 = 3*w - 2*w + t for w. -1 Suppose -2*l + 0*k = 4*k - 48, -l + 2*k = -16. Solve -l = 6*w - 2*w for w. -5 Let v(f) = f + 5. Let o be v(-6). Let c(l) = 4*l**2 - l - 1. Let a be c(o). Solve 5*d = d - a for d. -1 Let z be (-1 - -20) + (0 - -2). Suppose 4*b + 12 = -x - 3, -x = -4*b - 9. Let k(v) = v**2 + v - 2...
{ "pile_set_name": "DM Mathematics" }
wrt r. -425561892*x What is the second derivative of -19824997*d**2 + 18384747*d? -39649994 Differentiate -6499*g*s**2*x**2 + 105*g*s*x**3 + 82443*g*x**3 - 47*g*x**2 with respect to s. -12998*g*s*x**2 + 105*g*x**3 Differentiate -1610630*p**2 - 13*p - 7357665 with respect to p. -3221260*p - 13 What is the derivative of...
{ "pile_set_name": "DM Mathematics" }
replacement from {r: 1, s: 1, t: 4, g: 2, w: 2, h: 2}? 1/66 Four letters picked without replacement from afaaaqqqbqbqq. Give prob of sequence fqqb. 1/286 Calculate prob of sequence giw when three letters picked without replacement from {z: 2, w: 1, i: 1, g: 5, y: 1}. 1/144 What is prob of sequence kr when two letters ...
{ "pile_set_name": "DM Mathematics" }
x = 50 + d. Calculate the remainder when (-2 + x)/(16/24) is divided by 5. 4 Suppose 0 = 5*b + 22*d - 27*d - 15, 2*d = 10. Calculate the remainder when 125 is divided by b. 5 Let f = 6729 - 5770. What is the remainder when f is divided by 46? 39 Suppose -25 = -7*n + 80. Let u(x) = -x**3 + x**3 - 8 + 2*x + x**3 - 8*x**2...
{ "pile_set_name": "DM Mathematics" }
h is the nearest to -0.1? (a) -2 (b) -3/2 (c) -4 (d) 2/9 d Which is the closest to 1? (a) 1/2 (b) 2/35 (c) 0.034 (d) -3 a Which is the nearest to -0.04? (a) 8 (b) -5 (c) 3 (d) 2 d Which is the nearest to 0.2? (a) 1/7 (b) -1/3 (c) 1 (d) 10 a What is the nearest to -2/9 in -43, -2/5, 5, -1/4? -1/4 Which i...
{ "pile_set_name": "DM Mathematics" }
2*b - 1 - 5 - 3*b. Let z(x) = 2*x + 4. What is -4*p(q) - 3*z(q)? -2*q Let x be (-3 - (-7 + -2))*1. Let g(s) = -9*s + 2. Let w(k) = -19*k + 4. Calculate x*w(j) - 13*g(j). 3*j - 2 Let t(s) = 417*s**3 + 33*s**2 - 33*s - 33. Let u(w) = -26*w**3 - 2*w**2 + 2*w + 2. What is -2*t(l) - 33*u(l)? 24*l**3 Let a(o) = o. Suppose 40...
{ "pile_set_name": "DM Mathematics" }
s) = -s**2 - 3*s - 1 + 1 + 3. Suppose 2*w - 7 + 15 = -2*n, -16 = -w + 4*n. Suppose -5*f = -w + 15. Calculate x(f). 3 Let z be 21/(-28) + 0 - 11/(-4). Let r(g) = 2*g + 6 - 6*g**z + 6 - 9 - g**3. Give r(-6). -9 Let c(u) = -u**3 - 5*u**2 + 5*u + 1. Suppose 40 = -8*p - 0*p. Give c(p). -24 Let k(j) = 96 + j**2 - 8*j + 93 + ...
{ "pile_set_name": "DM Mathematics" }
Find the third derivative of -26*l**3 - 7*l**3 + 8 + 10*l**2 - 61*l**3 - 83*l**3 wrt l. -1062 Let r(c) = 12*c**3 - 162*c**2 + 12*c + 12. Let z(y) = -y**3 - y**2 + 2*y + 2. Let o(m) = r(m) - 6*z(m). Find the third derivative of o(k) wrt k. 108 Let v(m) = -m**2 + 5*m - 4. Let i be v(3). Suppose i*y - 3 = y. What is the s...
{ "pile_set_name": "DM Mathematics" }
en 373832 is divided by 1591. 1538 What is the remainder when 707292 is divided by 59? 0 Calculate the remainder when 124361 is divided by 31007. 333 Calculate the remainder when 2435723 is divided by 687. 308 Calculate the remainder when 378319 is divided by 2664. 31 Calculate the remainder when 1901 is divided by 331...
{ "pile_set_name": "DM Mathematics" }
- 3*sqrt(117)). -47 + 15*sqrt(13) Simplify ((2 + 3*((sqrt(272) - (sqrt(272) + 0)) + -4) + 1)*-6)**2. 2916 Simplify (((sqrt(1700) - 2*sqrt(1700)*-1) + sqrt(1700) - (sqrt(1700) + (2 + 1*sqrt(1700) - sqrt(1700)))) + 1)**2. -60*sqrt(17) + 15301 Simplify (5*2*sqrt(833)*-2 + (sqrt(833) - (1 + sqrt(833))) + 2 + -1 + sqrt(833...
{ "pile_set_name": "DM Mathematics" }
0030. 2, 5, 2003 List the prime factors of 10426. 2, 13, 401 What are the prime factors of 11222? 2, 31, 181 List the prime factors of 60829. 59, 1031 List the prime factors of 1370. 2, 5, 137 List the prime factors of 689. 13, 53 List the prime factors of 5086. 2, 2543 List the prime factors of 2814. 2, 3, 7, 67 What ...
{ "pile_set_name": "DM Mathematics" }
c = -1 - -1. Put c, s, -3 in increasing order. s, -3, c Let b(w) = 5*w**3 - 8*w**2 - 7*w. Let s be b(-1). Sort 2, -5, s, -2. s, -5, -2, 2 Let w(h) = 4*h + 5. Let c be w(-2). Let u be 6/2 + (c - -1). Put -19, 4, u in decreasing order. 4, u, -19 Let j = -338 + 263.4. Let q = -75 - j. Sort q, 3/5, 3 in descending order. 3...
{ "pile_set_name": "DM Mathematics" }
0.24 - -0.06. Which is the closest to y? (a) -0.5 (b) t (c) 0.4 b Suppose -2*g - 9*r = -4*r + 8, 6 = 2*g - 2*r. What is the nearest to g in 2/9, -0.2, 0.03? 2/9 Let o = 1976 + -1981. Which is the nearest to 0? (a) o (b) 0.26 (c) 2 b Let t(x) = x. Let q be t(-5). Let i = 12561/8 - 1570. Which is the closest to 0?...
{ "pile_set_name": "DM Mathematics" }
5 What is the thousands digit of 446401423? 1 What is the hundreds digit of 110655062? 0 What is the thousands digit of 266378299? 8 What is the units digit of 4505890867? 7 What is the ten thousands digit of 2283403646? 0 What is the thousands digit of 122742709? 2 What is the ten millions digit of 14972208? 1 What i...
{ "pile_set_name": "DM Mathematics" }
*m**2/8 - 1103973*m/8 - 17519523. -3*(m + 127)*(m + 367864)/8 Solve q**5 + 1020545*q**4 - 1020547*q**3 - 1020545*q**2 + 1020546*q = 0 for q. -1020546, -1, 0, 1 Determine a, given that -a**3 - 1951*a**2 + 1351206*a = 0. -2493, 0, 542 Factor 34067*b**3/2 - 33775*b**2 + 32899*b/2 + 292. (b - 1)**2*(34067*b + 584)/2 Factor...
{ "pile_set_name": "DM Mathematics" }
+ 16*p**3/5 - 42*p**2/5 + 44*p/5 - 16/5 = 0. Calculate p. 1, 2, 4 Suppose d**3/4 - 16*d**2 - 67*d - 68 = 0. Calculate d. -2, 68 Factor -2*m**2/13 + 94*m/13 + 96/13. -2*(m - 48)*(m + 1)/13 Solve -2*t**5/3 - 6*t**4 - 56*t**3/3 - 24*t**2 - 32*t/3 = 0. -4, -2, -1, 0 Factor -2*r**3/13 + 186*r**2/13 - 5766*r/13 + 59582/13. ...
{ "pile_set_name": "DM Mathematics" }
-6*i + i = -v + 21. What are the prime factors of v? 2 Let x = 962 - 734. What are the prime factors of x? 2, 3, 19 Let l be 10/4*(-12)/(-15). Suppose r - 4 = -l*b, -r + 3*r = 0. Suppose b*z = 4*z - 22. What are the prime factors of z? 11 Let r = -74 + 473. What are the prime factors of r? 3, 7, 19 Let a be (2/3)/(4/(-...
{ "pile_set_name": "DM Mathematics" }
**(1/7)/(q*q**(-2/7))**47*(q*((q/(q*q**(-3/5)*q))/q)/q)/q*q*q**(-3)*q*q**(-8)*q**(7/5) assuming q is positive. q**(-307/7) Simplify ((v*v*v**(-1/11))**(5/9)/((v**(-2/47)/v*v)/v**0))**(-2/11) assuming v is positive. v**(-3422/17061) Simplify ((l**(-1/10)*l)/(l*l*l**(-1))*l**5/l**2)/((l*l**(-7))/l*l/(l*l**(5/6)/l))**(7/2...
{ "pile_set_name": "DM Mathematics" }
n(f) = 5187*f + 200. Is n(15) prime? False Suppose 25*z = 14700 + 565675. Is z a composite number? True Let q(i) = -2*i**3 - i**2 + 3*i - 2. Let y be q(1). Let t(w) = 113*w**2 + w - 1. Is t(y) a prime number? True Let i(j) = -2798*j**2 + 2*j + 2. Let z(n) = 1399*n**2 - n - 1. Let y(h) = 6*i(h) + 13*z(h). Is y(-1) prime...
{ "pile_set_name": "DM Mathematics" }
1. Suppose -m = -0*g - g. Solve 0*b - v = g*b for b. -5 Suppose -5*m + 5 = 5*u, 2*m - 5*u + 0*u = 37. Solve m*d - 3*d = 0 for d. 0 Let b(m) = -3*m + 3. Let g be b(-5). Suppose -4*c + g = 2. Let f(u) = -u**2 - 6*u + 7. Let q be f(-7). Solve c*h - 5 - 7 = q for h. 3 Let s(p) = p**2 + p + 1. Let c be s(-1). Solve 0 = 5*d ...
{ "pile_set_name": "DM Mathematics" }
-r**2 Let g(r) = -6*r**3 + r**2 - 5*r - 5. Let c(l) = -l**3 - l**2 - l - 1. Determine -5*c(w) + g(w). -w**3 + 6*w**2 Let f(x) = -7*x**2 - 3*x + 2. Let y(a) = -6*a**2 - 3*a + 2. Determine 5*f(g) - 6*y(g). g**2 + 3*g - 2 Let k(h) = 2*h**2 - 5 + 1 + 3 + 2*h**3 + h**2 - h. Let g = 11 - 13. Let q(d) = 2*d**3 + 2*d**2 - d - ...
{ "pile_set_name": "DM Mathematics" }
*b - 4*z - u, 0 = 3*z + 6 + 6. Suppose b*n + 10 + 10 = 0, 0 = d - 5*n - 42. Is d a multiple of 13? False Suppose 3*g - 1092 = 5*g. Does 20 divide 1/(((-3)/g)/1) + -2? True Let o = -45 - -207. Is 18 a factor of o? True Let p(a) = 2*a**3 - 24*a**2 + 24*a + 18. Is p(14) a multiple of 20? False Suppose -17*y + 212 = -16*y....
{ "pile_set_name": "DM Mathematics" }
j. 1 Suppose -3*v + 0*x = -5*x - 56, 3*v - x - 40 = 0. Solve -r + 8 - v = 0 for r. -4 Let f = 1 + 1. Suppose -4*u - 88 = -5*p + 8, -u + 1 = 0. Solve f*x + p = -2*x for x. -5 Let f be 6*(6/(-4) - -2). Let c(x) = -2*x**3 - x. Let v be c(-1). Let i be -2*(3 + (v - 9)). Solve f + i = 3*a for a. 3 Suppose 35*l - 5*j = 39*l ...
{ "pile_set_name": "DM Mathematics" }
16143? 1 What is the hundreds digit of 3846? 8 What is the hundreds digit of 85911? 9 What is the thousands digit of 69487? 9 What is the thousands digit of 39855? 9 What is the hundreds digit of 916? 9 What is the units digit of 441? 1 What is the units digit of 42294? 4 What is the thousands digit of 8404? 8 What is ...
{ "pile_set_name": "DM Mathematics" }
2/(f/(-380)) - -4. 3, 11 What are the prime factors of (-30)/2*(-16146)/390? 3, 23 Suppose -2*o + 1558 = -5*w, -5*o + 1562 = -5*w - 2*o. Let g = w + 522. List the prime factors of g. 2, 53 Let g = 445 - 296. Suppose -4*n = 3*d - g - 300, 0 = 2*d + 3*n - 298. List the prime factors of d. 5, 31 Let j(b) = -b**3 - 3*b**2 ...
{ "pile_set_name": "DM Mathematics" }
c**3 - 2765*c**2. Let m(k) = -18*k**3 + 553*k**2. Let l(z) = 11*m(z) + 2*n(z). Find the third derivative of l(t) wrt t. -96 Suppose -4*s = -2*s. Let k be (s + 0)/(10 + -9). Differentiate -3 + k*j + 2 - 3*j + 5 with respect to j. -3 Find the first derivative of -120 - 39*n + 70*n + 26*n + 66*n wrt n. 123 What is the sec...
{ "pile_set_name": "DM Mathematics" }
*3 + 64*f**2/9 = 0. Calculate f. -1, 0, 32 Factor 2*a**3/5 + 12*a**2/5 + 2*a. 2*a*(a + 1)*(a + 5)/5 Solve -4*f**4 + 44*f**3 + 16*f**2 - 176*f = 0. -2, 0, 2, 11 Let -5*a**5 + 126*a**4 - 1209*a**3/5 - 1276*a**2/5 - 276*a/5 = 0. Calculate a. -2/5, 0, 3, 23 Factor 3*f**5/5 + 501*f**4/5 - 504*f**3/5. 3*f**3*(f - 1)*(f + 168...
{ "pile_set_name": "DM Mathematics" }
304/(-60)? -1/15 Calculate (33/(-88) + 50/(-16))*(-108)/(-63). -6 (-163)/7 - (-3672)/(-2142) -25 (394 + -394)*(-3)/(-36) 0 What is the value of ((-1)/(-22) - (-3026)/(-748))*-2? 8 Evaluate 2496/(-192)*(2 + -1). -13 1/(16*(-16)/(-768) - (-110)/(-6)) -1/18 What is the value of (-135)/18 + 2*1/4? -7 What is the value of 6...
{ "pile_set_name": "DM Mathematics" }
se -4*z + u*z = -20. Suppose z*l = -2*m + 23, 3*l - 5*m - 8 = 12. Let n(b) = b**3 - 5*b**2 - 2*b + 3. What is n(l)? -7 Let d(h) = -7*h**2 + 4. Let x(y) = y**2. Let a(p) = d(p) + 6*x(p). What is a(0)? 4 Suppose 3*b = -10 - 5. Let m = b + 12. Suppose 2*g + 5*i = -16, 3*i - m*i - 8 = 0. Let j(t) = -t**2 - 2*t - 2. Calcula...
{ "pile_set_name": "DM Mathematics" }
z**3 + 5*z**2 + 2*z + 21. Let l be v(-5). Solve l*x - 36 = -3 for x. 3 Let k = -17 - -8. Let g = k - -18. Let x be (8/(-18))/((-2)/g). Solve -3*v - x*v = -20 for v. 4 Let u(j) = -2*j + 42. Let s be u(-13). Solve -14*v + s = 20*v for v. 2 Suppose 0 = -4*a + 21 + 3. Let n(y) be the second derivative of -y**3/6 + 9*y**2/2...
{ "pile_set_name": "DM Mathematics" }
-5*b - 11 = -h + 47. What is the highest common divisor of h and 145? 29 Let u be (2/(-4))/((-2)/8). Suppose 2*s = -s + 33. Let b = 12 - s. What is the highest common divisor of u and b? 1 Let n = 1376 - 1365. What is the greatest common divisor of n and 77? 11 Let r be (-18240)/(-78) + 3/(39/2). Let y(q) = q**2 + 11*q...
{ "pile_set_name": "DM Mathematics" }
ending order. -106, 2, c Let a = 4.4 - 4. Let u = -21 - -20.9. Let i = u - a. Put i, -4, -5 in increasing order. -5, -4, i Let b = 316 + -312. Let t(f) = -2*f**2 + 12*f - 16. Let m be t(b). Sort 1, 2, 9, m in increasing order. m, 1, 2, 9 Suppose 0 = 76*r - 68 - 160. Sort r, 20, -2/9 in descending order. 20, r, -2/9 Sup...
{ "pile_set_name": "DM Mathematics" }
hat is -1 - -1222102? 1222101 In base 13, what is -4 - -1309? 1305 In base 15, what is 1 - 1137ec? -1137eb In base 7, what is -1641 + 34? -1604 In base 12, what is -598 - -108? -490 In base 11, what is -198 + -679? -866 In base 15, what is -2c90 - -3? -2c8c In base 9, what is 0 + 513858? 513858 In base 6, what is -3132...
{ "pile_set_name": "DM Mathematics" }
2. -200*sqrt(13) + 130001 Simplify -2 + (4*(sqrt(1900) + sqrt(1900) + 0 + -5 + -2) - (-3 + 1 + -1*sqrt(1900) + sqrt(1900) + (sqrt(1900) + 0 + sqrt(1900))*-4))**2. -8320*sqrt(19) + 487074 Simplify ((-6*5*(3 + sqrt(832)) - (4 + 2 + sqrt(832) + 1)**2) + 3)*-4. 3872 + 1408*sqrt(13) Simplify ((3 + sqrt(1088) + -3 + sqrt(108...
{ "pile_set_name": "DM Mathematics" }
10/(i*i*i/(i/i**(-21)*i*i))) assuming i is positive. i**(-377/12) Simplify ((p**2)**(-5/16)/(p**(-1)/(((p**(-10)*p)/p)/p)))**(-8) assuming p is positive. p**85 Simplify (x*x**(2/5))/(x*x/(x*x*x/((x*((x**(1/7)*x*x)/x)/x*x)/x))*x*x)*((x**(2/13)/x)/x)/(x**(-1/4)*x) assuming x is positive. x**(-6077/1820) Simplify (y*y/(y/...
{ "pile_set_name": "DM Mathematics" }
1.8 and -416190. -749142 What is the product of -9507.536 and -3? 28522.608 -0.08 times -1.65735 0.132588 What is the product of -228819 and -17.8? 4072978.2 What is -3751694 times 0? 0 What is the product of 0.11 and 33416.11? 3675.7721 -1.1392302*-2 2.2784604 What is the product of 40519 and -0.002? -81.038 What is ...
{ "pile_set_name": "DM Mathematics" }
sqrt(5) - sqrt(5)*4)*6 + (sqrt(180) - sqrt(180)*2)))**2. 275/576 Simplify (4*((sqrt(605)*-1 - sqrt(605))*2 - (2 + (sqrt(605) + 0 - sqrt(605)))) + 1*(-2 + sqrt(605) + sqrt(605)) + 3*sqrt(605)*-3)**2. 5060*sqrt(5) + 320145 Simplify (-6*(-3 + sqrt(891) + 5) + ((sqrt(99) + 0)*-1 - (1*sqrt(99) + -1)))**2. 1320*sqrt(11) + 39...
{ "pile_set_name": "DM Mathematics" }
- 1)*(l + 1)**2 Suppose -2*y + 0*y = -2. Let x be (y + 0)*6/18. Factor -x*c**2 - 1/3 - 2/3*c. -(c + 1)**2/3 Let n = 7 - 3. Let -3*l**3 + 2*l**2 - l + l**2 - 2*l**4 + 4*l**4 - l**n = 0. What is l? 0, 1 Let q(m) be the first derivative of m**6/240 - m**4/16 + m**3/6 - 3*m**2 - 2. Let s(c) be the second derivative of q(c)...
{ "pile_set_name": "DM Mathematics" }
0143 a multiple of 73? True Is 88 a factor of 1298459976? True Is 66490800 a multiple of 2010? True Does 141 divide 261127411? False Does 179 divide 300474841? False Does 76 divide 949267132? True Does 1582 divide 266507549? False Does 115 divide 479705771? False Is 6886211995 a multiple of 43? True Is 52 a factor of 1...
{ "pile_set_name": "DM Mathematics" }
)*(-18*y - 8*y + 3*y))*(-3*y**3 - y**3 + 6*y**3). 82*y**4 Expand (4*w - 4*w + 2*w)*(1 + 3 - 2) - 1274*w + 10 + 5025*w - 10. 3755*w Expand (-3 + 2 + 0)*(6 - q - 6)*(3 + 2 - 2)*(1 - 19 - 12)*(3 - 4 + 0). 90*q Expand ((-3 + 0 + 4)*(-4 + 3 + 2) + 3 - 1 + 4)*(-3*k**4 + 4*k**4 + k**4 + k**5 + (5*k**2 - 5*k**2 + 4*k**4)*(0*k ...
{ "pile_set_name": "DM Mathematics" }
hat is r(d(w))? -11768*w Let c(d) = 21*d. Let u(p) be the second derivative of p**6/360 + 49*p**4/12 + 17*p + 1. Let j(b) be the third derivative of u(b). Calculate j(c(l)). 42*l Let c(b) be the first derivative of 10*b**2 + 809. Let j(t) be the first derivative of 2*t**2 + 2. Give c(j(y)). 80*y Let v(o) = 10*o - 25*o ...
{ "pile_set_name": "DM Mathematics" }
5*h + 8. Solve 0 = 2*r - 2*s - 2, -h*r = -5*s - 4 for r. 1 Let m = 4 - 2. Suppose r + m*r - 5*u = -19, u - 7 = -r. Let t be ((-28)/35)/(r/(-10)). Solve 0*k - 2*k = 4*a - 6, 1 = 3*k + t*a for k. -5 Suppose 0 = -72*l + 775 + 1241. Solve 4*q - p + 20 = 0, 3*q + l = p + 3*p for q. -4 Let i = -125 + 132. Solve -2*l - 4*d + ...
{ "pile_set_name": "DM Mathematics" }