text
stringlengths
270
8.19k
meta
dict
and 31951? 351461 Calculate the least common multiple of 50022 and 14. 50022 What is the least common multiple of 6795 and 1890? 285390 What is the common denominator of 79/31752 and -117/686? 222264 Find the common denominator of -121/1000 and -43/40. 1000 Calculate the smallest common multiple of 94 and 401. 37694 Ca...
{ "pile_set_name": "DM Mathematics" }
ming b is positive. b**(-17/4) Simplify (u**(-1/3))**38 assuming u is positive. u**(-38/3) Simplify w**1/w*w**3*(w/w**(-1/4))/w*w*((w**6/w)/w*w*w)/w assuming w is positive. w**(37/4) Simplify (q**8*q)/q**(9/2) assuming q is positive. q**(9/2) Simplify (i**(-1))**(-1)*(i**(2/9)*i)/i**(-4) assuming i is positive. i**(56/...
{ "pile_set_name": "DM Mathematics" }
at is the biggest value in 2/3, 2/13, k? 2/3 Let b = -379 - -379.3. What is the third smallest value in -1/7, b, 2/29? b Suppose 5*k + g + 228 = -3*g, 0 = -2*k + 3*g - 105. Let s be 4/(k/(-58)) - 1. Let j = -19/6 + s. Which is the second biggest value? (a) j (b) 0.5 (c) -5 b Let w = 2 + 11. Let u = 0.6 + -12.6. Let ...
{ "pile_set_name": "DM Mathematics" }
Let n be (-3)/(2/(-2 - 0)). Suppose x = n*x - 66. What is the greatest common divisor of x and m? 11 Suppose -2*z + 10 = s - 15, -2*z + 22 = 2*s. What is the highest common factor of 154 and z? 14 Suppose -5*k - 14 = -o - 5, 2*o - 51 = -k. Let a = 263 + -257. Calculate the highest common divisor of o and a. 6 Let s be ...
{ "pile_set_name": "DM Mathematics" }
alue in 5/33, 1, -1681.04? 5/33 What is the third smallest value in -26, 2/5, -6/7483, -5, 2/3, 3? -6/7483 Which is the fourth biggest value? (a) -32 (b) 1 (c) -0.811 (d) -3 (e) -11 e What is the fifth smallest value in -2, 0.2, -24, -0.2, -0.5, -351320, -2/3? -0.5 What is the fifth biggest value in 3274, -2, 0.2,...
{ "pile_set_name": "DM Mathematics" }
446 What is 1615 divided by -4? -1615/4 Calculate -5227656 divided by -6. 871276 -1254748 divided by 1 -1254748 -2556 divided by -12 213 Calculate 44612 divided by -38. -1174 What is -234 divided by 6941? -234/6941 Calculate -1 divided by -32920. 1/32920 -347 divided by 155 -347/155 192136 divided by 28 6862 Calculate ...
{ "pile_set_name": "DM Mathematics" }
ve -5*k - 4*h = 7, -37*k + 32*k + 2 = h for k. 1 Solve 5 = -3*o + 4*z + z, o + z - 9 = 0 for o. 5 Solve -220*j + 218*j + u = 7, -j - 2*u - 11 = 0 for j. -5 Solve c = -5*r - 15, -8*c = -4*c - r + 18 for c. -5 Solve -3*s + 5 = -a, 34*s = -5*a + 39*s - 25 for a. -5 Solve 3*j - 7*j - 2*t = 10, -2*j - 5*t = -7 for j. -4 Sol...
{ "pile_set_name": "DM Mathematics" }
actor of 1241920484? True Does 99 divide 36229784? False Does 75 divide 726870525? True Does 76 divide 100070972? False Is 88521238 a multiple of 607? True Does 2399 divide 29452523? True Is 641951576 a multiple of 871? False Is 77029320 a multiple of 2840? True Is 18893942 a multiple of 35? False Is 1928372400 a multi...
{ "pile_set_name": "DM Mathematics" }
cked without replacement from {o: 13, k: 4, l: 3}? 156/1615 Two letters picked without replacement from {l: 7, x: 1}. What is prob of picking 1 l and 1 x? 1/4 Calculate prob of picking 3 x when three letters picked without replacement from xxeepxepe. 1/84 Three letters picked without replacement from {z: 4, v: 7}. Give...
{ "pile_set_name": "DM Mathematics" }
tor of 70 and i. 14 Let c be (-4)/18 + (-7552)/36. Let r = -78 - c. What is the highest common factor of r and 33? 33 Let x be 5 - -3 - (-4 - -11). Calculate the highest common factor of x and 6. 1 Let g(n) = -4*n**2 + 81*n + 3. Let o be g(18). Let i be ((-6)/4)/(2/(-20)). What is the highest common divisor of i and o?...
{ "pile_set_name": "DM Mathematics" }
decimal places? -1.36 What is -13.452 rounded to the nearest ten? -10 What is -1379500 rounded to the nearest 100000? -1400000 Round 0.068071 to 2 dps. 0.07 What is 5793000 rounded to the nearest 100000? 5800000 Round 140300 to the nearest one thousand. 140000 What is -0.000000324 rounded to 7 decimal places? -0.000000...
{ "pile_set_name": "DM Mathematics" }
. Which is the closest to 0? (a) -5 (b) o (c) 3 b Let v be 20/(-9) + 6/27. Let i = -0.28 - -118.28. Let r = i - 119. What is the closest to r in -17, v, -0.4? -0.4 Let d = 1.83 + -2.5. Let g = -6.33 + d. Let s = 4 + g. Which is the closest to 0.3? (a) -5 (b) 1 (c) s b Let l = -2493 + 2493. What is the closest to ...
{ "pile_set_name": "DM Mathematics" }
pose 3*h + a = 18, -8*h + a = -7*h - 6. Solve b = -c*w - w - h for w. -2 Let x be 12/(-30) + (-38)/5. Let h be x/40 - 4/5. Let m be h/7 + (-90)/(-42). Solve -9 = -m*u - 1 for u. 4 Let l(m) = 3*m**3 - m**2 - m + 4. Let c be l(0). Suppose -f - 6 = f + 5*x, 0 = -f - 3*x - c. Solve -2*y = f*y + 12 for y. -3 Suppose 3 - 29 ...
{ "pile_set_name": "DM Mathematics" }
0 = 5*r - n*b - 19, 16 = 7*r - 3*r - 4*b for r. 3 Let h be ((-104)/32)/(1/(-4)). Suppose h*j = 18*j - 25. Solve -c = j*z - 6 - 23, -4*z + 8 = -3*c for z. 5 Let k(s) = 2*s**2 - 2. Let j be k(-3). Let n be (-13)/4 - (-4)/j. Let q be (-14)/n - 3/(-9). Solve -14 = -3*a + 3*p - 5*p, q*a + p - 21 = 0 for a. 4 Suppose 93 = 5*...
{ "pile_set_name": "DM Mathematics" }
, what is 11 - 202201? -202120 In base 6, what is -5 - 3315? -3324 In base 15, what is ad - 5? a8 In base 11, what is 1 - 16? -15 In base 12, what is -2 - 156? -158 In base 4, what is -2 + -20012? -20020 In base 8, what is 0 - -22? 22 In base 7, what is 21 - -1002? 1023 In base 15, what is -489e - 3? -48a2 In base 9, w...
{ "pile_set_name": "DM Mathematics" }
e product of -842 and 0? 0 Work out -54.9 * 0.1. -5.49 Work out -0.2 * -189. 37.8 Multiply -0.3 and 3.3. -0.99 Product of -6 and -1922. 11532 What is 4 times -10.9? -43.6 What is the product of -108 and 0.06? -6.48 -1079 * 3 -3237 Product of 114 and 0.17. 19.38 Product of 580 and 0.6. 348 Multiply -299 and 1.8. -538.2 ...
{ "pile_set_name": "DM Mathematics" }
*4 + 9*b - 9*b + (0 + b**2 + 0)*(6*b**2 + 0*b + 0*b) + 2*b**4 - 4 + 4 + (-b + 4 - 4)*(3*b**3 - b**3 + 0*b**3). 3*b**4 Expand 15*h**5 - 21*h**5 - 91*h**5 + (2*h**2 - 2*h**2 - 2*h**2)*(h**3 + 3*h**3 - 2*h**3) - 7*h**5 + 4*h**5 - h**5. -105*h**5 Expand 75*f**3 + 100*f**3 - 154*f**3 + (-f**2 + 3*f**2 - 4*f**2)*(-5*f + 5*f ...
{ "pile_set_name": "DM Mathematics" }
Let x(u) = 2 + 5*u + 0 - u**2 + 2*u**2 + 0*u**2. What is the units digit of x(z)? 2 Suppose 2*i - 13 + 59 = 0. Let d = -14 - i. What is the units digit of d? 9 What is the tens digit of (-6)/9*1 - (-1376)/12? 1 Let k = 154 - 72. What is the tens digit of k? 8 Let f(x) = -4*x - 1. Let v(y) = -y + 1. Let i(u) = f(u) - 3...
{ "pile_set_name": "DM Mathematics" }
e? True Is 1248631 composite? False Is 671483 a composite number? True Is 334563 prime? False Is 29819 prime? True Is 61823 composite? True Is 74653 prime? True Is 262097 prime? False Is 132571 prime? False Is 146563 composite? False Is 409573 a prime number? True Is 15349 composite? False Is 853 composite? False Is 88...
{ "pile_set_name": "DM Mathematics" }
5*k**2 + 4*k - 5. Let y(u) = -u**3 + u**2 - u + 1. Give -c(z) - 5*y(z). 11*z**3 + z Let f(r) = -5*r - 6. Let w(c) = 10*c + 13. Give 13*f(t) + 6*w(t). -5*t Let y(p) be the third derivative of p**6/120 + p**5/60 - p**3/6 + 40*p**2. Let d(g) = -2*g**2 + g + 1. Calculate -d(t) - y(t). -t**3 + t**2 - t Let q(n) = -4*n**2 -...
{ "pile_set_name": "DM Mathematics" }
*-1 a prime number? True Suppose 15 = 6*n + 3. Suppose -w = -2*d + 7*d - 261, -n*w + 486 = -2*d. Let j = -83 + w. Is j a composite number? False Is ((-109042)/5)/((-214)/535) composite? False Suppose -66*b = -53*b - 122083. Is b a prime number? True Let a = -1718 - -4277. Is a a composite number? True Suppose -2*b + 19...
{ "pile_set_name": "DM Mathematics" }
-12*l + 10*l = 3*j - 76811, 2*j - 51177 = 3*l. Does 49 divide j? False Suppose 158*j - 153*j = 12*a - 513, -5*a + 2*j = -214. Does 11 divide a? True Suppose -c = -4*m - 273 + 6897, -4968 = -3*m - c. Suppose -2*a = -6*a + m. Does 18 divide a? True Is 7/(-3)*38232/(-18) a multiple of 28? True Let g = -239 + 1416. Suppose...
{ "pile_set_name": "DM Mathematics" }
989. -5 What is -3 divided by 11211? -1/3737 Calculate -10220 divided by -5110. 2 What is -5 divided by -9827? 5/9827 -90 divided by 20 -9/2 Calculate 23 divided by -191193. -23/191193 Calculate -1589703 divided by -3. 529901 -990264 divided by 2904 -341 4 divided by -21881 -4/21881 Divide 111573 by -12397. -9 What is...
{ "pile_set_name": "DM Mathematics" }
actors of y. 2 Let l(u) = u**2 + 4*u. List the prime factors of l(3). 3, 7 Suppose 0 = -9*n - n + 90. List the prime factors of n. 3 Let k(g) be the first derivative of g**5/60 - g**4/12 + g**3 - 2. Let t(h) be the third derivative of k(h). What are the prime factors of t(2)? 2 Suppose 0 = -3*n - 2*w - 34, 0*n + 4*w + ...
{ "pile_set_name": "DM Mathematics" }
0.5. Let b = 187 - 184. Put -2, b, w in descending order. b, w, -2 Let r be (-120)/(-36) + 2/(-6). Suppose -2*t + 19 = -2*s - s, 5*s + 2*t + 21 = 0. Let q = -9 - s. Put 4, r, q in decreasing order. 4, r, q Let j(q) = -q**3 + 5*q**2 - 5*q + 1. Let s be j(4). Let t = s - 0. Let a = 4.4 - 4. Sort a, -2/9, t in increasing...
{ "pile_set_name": "DM Mathematics" }
m of -1040, -2272, -3698, -5312, -7108, -9080? w**3 - 103*w**2 - 930*w - 8 What is the d'th term of 19541, 39121, 58701, 78281? 19580*d - 39 What is the q'th term of -1192, -1920, -2646, -3370, -4092, -4812? q**2 - 731*q - 462 What is the o'th term of 43740, 43762, 43800, 43854, 43924, 44010, 44112? 8*o**2 - 2*o + 4373...
{ "pile_set_name": "DM Mathematics" }
der when 2588 is divided by 70. 68 Calculate the remainder when 3527 is divided by 704. 7 What is the remainder when 31 is divided by 16? 15 Calculate the remainder when 22039 is divided by 16. 7 Calculate the remainder when 5051 is divided by 79. 74 Calculate the remainder when 830 is divided by 61. 37 Calculate the r...
{ "pile_set_name": "DM Mathematics" }
= 2*l, 3*t + z*l = 191 + 31. Calculate the greatest common divisor of 8 and t. 8 Let l(j) be the second derivative of j**4/12 + 7*j**3/3 - 3*j**2 + 8*j. Let f be l(-13). Let q = f + 28. What is the greatest common divisor of q and 9? 9 Let u(i) = -i - 12. Let m be u(-13). What is the highest common divisor of m and 2?...
{ "pile_set_name": "DM Mathematics" }
59, 1338, 1671, 1482, 495? -46*z**3 + 291*z**2 - 2*z - 33 What is the a'th term of 6672647, 6672607, 6672567, 6672527, 6672487? -40*a + 6672687 What is the a'th term of 6015, 3881, 1747, -387, -2521, -4655? -2134*a + 8149 What is the w'th term of 53949, 53960, 53979, 54006, 54041? 4*w**2 - w + 53946 What is the z'th te...
{ "pile_set_name": "DM Mathematics" }
0/13*y**2 + 20/13 = 0. -5, -2/7, 1 Suppose -6*g = -8*g - 4. Let r be (((-8)/(-20))/1)/(g/(-10)). Factor -8*a**2 - 10*a**r + 2*a**4 - 10*a**2 + 26*a**2. 2*a**2*(a - 1)*(a + 1) Let j(o) = -o**3 + 5*o**2 - 59*o - 79. Let q be (-2)/(-2)*-6 + 39 + -35. Let v(w) = -2*w**2 + 20*w + 26. Let s(x) = q*j(x) - 7*v(x). Find t such ...
{ "pile_set_name": "DM Mathematics" }
059. Calculate the remainder when i is divided by 21. 16 Let y(l) = -l**2 + 5*l - 2. Let a be y(3). Let j(t) = t**2 + 5*t - 3. What is the remainder when j(-7) is divided by (a - 5*-2)/2? 4 Suppose 2*a - 114 = -q, -38*q + 34*q = -5*a - 508. Suppose 5*l = 3*c - 155 + 52, -185 = -5*c + 5*l. Calculate the remainder when q...
{ "pile_set_name": "DM Mathematics" }
16. 16 Find the common denominator of -53/16 and -17/416. 416 Calculate the least common multiple of 2061 and 1603. 14427 Find the common denominator of -34/11 and -13/633. 6963 Calculate the common denominator of 43/90 and 41/40. 360 Calculate the common denominator of 53/2 and 59/336. 336 What is the least common mul...
{ "pile_set_name": "DM Mathematics" }
- 12. Let y(v) = 8*c(v) - 3*q(v). Suppose -3*a - 4*h = 2*a - 46, 3*a - 34 = -4*h. What is y(a)? -8 Let h be 9/(-8) + (4/32 - 0). Let o(i) = -23*i**3 - i. Give o(h). 24 Let t(j) = j. Suppose -2*f + 5 = 3*f. Suppose 5*i + 6 - 1 = 0. Let w be (f - 1) + i + 1. Determine t(w). 0 Let m(x) = -x**3 + 5*x**2 - 2*x - 1. Let f(a...
{ "pile_set_name": "DM Mathematics" }
- (-4 - -9)) -17 Calculate -6 + (-3 - 1) + 2 + 5. -3 Calculate -5 + 7 - (24 + -4 + -3). -15 37 + (46 - 28 - 38) 17 Evaluate (-15 - 12 - -9) + 41. 23 Calculate -10 + -13 - (26 - 28). -21 Evaluate (0 - -1) + (9 - 6) - (45 + -60). 19 -5 - (35 - 21 - -6) -25 Evaluate -36 + 77 + -65 - (21 - 3). -42 Evaluate 33 + -30 + -1 +...
{ "pile_set_name": "DM Mathematics" }
for h. 3 Let y(c) = c**3 + 33*c**2 - 444*c + 143. Let h be y(10). Solve 32*i - 36*i - l + 12 = 0, 0 = -h*i - 5*l + 9 for i. 3 Let d be -6 - -6 - -4 - -72. Let v = d + -73. Solve -3 = -4*w + w - v*b, -5*b + 19 = -2*w for w. -2 Let f be 6480/(-70) - (-9)/(-21) - 2. Let m = f - -106. Solve -2*c + p - m = 1, 3*c = 2*p - 2...
{ "pile_set_name": "DM Mathematics" }
escending order. 5, 0.2, w Suppose -2 = -4*o + 6. Sort -2, 0, o in decreasing order. o, 0, -2 Suppose -d = -3*d. Suppose d = n + 2*n - 6. Put -5, 4, n in descending order. 4, n, -5 Let n be ((-2)/(-4))/((-11)/(-22)). Let b be -3*(n - 68/66). Put b, -0.4, 0.5 in decreasing order. 0.5, b, -0.4 Let k = 0.006 + -2.806. Put...
{ "pile_set_name": "DM Mathematics" }
(m*m**36*m/(m/m**39))/(m/(m*m*m/(m/(m*m**(-2/43)))*m*m)*m**(-2/39)) assuming m is positive. m**(134168/1677) Simplify (l**(-1/14)/l**(-3))/(l*l**1)**(-2/43)*(((l*l/(l*l**(1/4)*l))/l)/(l**5*l))**(2/23) assuming l is positive. l**(16554/6923) Simplify (((p**(3/11)*p*p**7)**34)**(-1/13))**4 assuming p is positive. p**(-9...
{ "pile_set_name": "DM Mathematics" }
)*(-2 - 1 + 1) - 2*h + 0*h + h in the form f*h + n and give f. -13 Express -11*a + 49*a + 51*a as g*a + j and give g. 89 Express (-1 - 5 + 2)*(4 - 7*s - 4)*(2*s**2 - 2*s + 2*s) as u*s**3 + z*s**2 + p + d*s and give u. 56 Rearrange -s**3 - 6*s**3 + 0*s**3 + 0*s - 2*s to the form v*s + m*s**2 + n*s**3 + q and give v. -2 ...
{ "pile_set_name": "DM Mathematics" }
5)*o*o/o**(3/5)*o*(o**(-2/13)/o)/o assuming o is positive. o**(172/65) Simplify k**(2/15)*k/(k*k*k*k**(-2/9))*(k/(k/(k**6*k)))/(k/((((k*k**6)/k)/k*k)/k)) assuming k is positive. k**(421/45) Simplify ((j**(-8)*j)/j)/j*j*j**(-2/9)*(j**(-1/2))**1 assuming j is positive. j**(-157/18) Simplify ((f**(-2/7))**(11/2))**(1/11) ...
{ "pile_set_name": "DM Mathematics" }
2. Let w be g(a). What is the third smallest value in -4, w, 2/7? w Let f = 31.6 + -32. Which is the third biggest value? (a) -2 (b) 2/5 (c) f (d) 4 c Let s = -0.5 + 0.4. Let k = -20.5 - -20. Let v = 0.3 + 0.7. What is the second smallest value in s, v, k? s Let m = 9/10 + -13/20. Suppose -2*k - 1 = -b - 2*b, 20 = ...
{ "pile_set_name": "DM Mathematics" }
-0.2 (c) -5 (d) 0.02 c Which is the closest to -1? (a) 1.6 (b) -0.4 (c) 92 b Which is the nearest to -2/3? (a) -104 (b) -0.34 (c) 5 b Which is the closest to -0.4? (a) 2537 (b) 3 (c) 10 b Which is the closest to 0? (a) 24582 (b) 5/7 (c) -1 b Which is the closest to -1/2? (a) 4 (b) -16.61 (c) 1 (d) -1....
{ "pile_set_name": "DM Mathematics" }
factor of 6755104 and 416. 32 What is the greatest common factor of 32584013 and 407? 407 Calculate the greatest common factor of 56 and 41701366. 14 What is the greatest common factor of 4880 and 2249131? 61 What is the greatest common factor of 39226 and 3674? 22 What is the highest common divisor of 58330785 and 195...
{ "pile_set_name": "DM Mathematics" }
55000 What is twenty-one halves of a litre in millilitres? 10500 What is 1151.958 years in decades? 115.1958 What is nine tenths of a century in years? 90 What is 21/8 of a centimeter in micrometers? 26250 How many nanoseconds are there in 273302.4us? 273302400 How many grams are there in 87893.65 micrograms? 0.0878936...
{ "pile_set_name": "DM Mathematics" }
/5 (b) -2.3 (c) 395 (d) 2 d Which is the closest to 0.4? (a) 0.4 (b) -0.1 (c) 0.1 (d) -58032/5 (e) -2 a Which is the nearest to 1/2? (a) -4 (b) 0.21 (c) 0 (d) -6.26 (e) -49 b Which is the nearest to -1? (a) 1.5 (b) 12658 (c) -419 a What is the nearest to -1 in 1/6, 188889, 1/12? 1/12 Which is the neares...
{ "pile_set_name": "DM Mathematics" }
)/(15/(-70)*2). 2/15 What is the value of ((-174)/44 - -4)*(-2 - 2)? -2/11 What is the value of ((-624)/(-117))/(10/6 - 1)? 8 6/12*3*4/18 1/3 Evaluate ((-6)/(-21))/((-1)/(21/(-36))). 1/6 Calculate ((-84)/(-126))/((-4)/18). -3 What is the value of ((-64 - -10)/6)/(-1)? 9 What is ((-6)/(-4) - 4)*(-8)/(-90)? -2/9 What is ...
{ "pile_set_name": "DM Mathematics" }
*3 + 5*r**2 + r + 1. Let n(c) = 42*c**2 - 14*c - 2. Give 2*l(s) + n(s). 2*s**3 + 52*s**2 - 12*s Let a(w) = -w. Suppose 5*l - 6 = -d - 1, d = 2*l + 5. Suppose -2*k - 4*t + 6 = l, -6*t + 5*t = 3*k - 14. Let g(y) = -2*y. Give k*a(p) - 3*g(p). p Let i(g) = -5*g**2 - 13*g + 6. Let u(h) = 5*h**2 + 16*h - 7. Calculate -6*i(c)...
{ "pile_set_name": "DM Mathematics" }
What is the remainder when 112868 is divided by 24? 20 Calculate the remainder when 83444 is divided by 843. 830 What is the remainder when 1363498 is divided by 674? 670 Calculate the remainder when 216130 is divided by 72020. 70 Calculate the remainder when 5883 is divided by 56. 3 What is the remainder when 160 is d...
{ "pile_set_name": "DM Mathematics" }
rob of sequence nkkn when four letters picked without replacement from kkknnnknnknnn? 28/429 Calculate prob of sequence wb when two letters picked without replacement from {a: 3, c: 2, j: 1, w: 2, b: 6}. 6/91 What is prob of sequence aa when two letters picked without replacement from {a: 6}? 1 What is prob of sequence...
{ "pile_set_name": "DM Mathematics" }
ed without replacement from {k: 2, z: 4, u: 1, v: 3, t: 1}. 1/55 Four letters picked without replacement from {y: 5, z: 4, c: 3, o: 1}. Give prob of picking 2 c and 2 z. 18/715 Three letters picked without replacement from {u: 7, q: 4, w: 7}. Give prob of picking 1 q and 2 w. 7/68 What is prob of picking 2 f when two l...
{ "pile_set_name": "DM Mathematics" }
4. Let r(h) be the first derivative of h**4/4 + 2*h**3 + 19. Calculate the remainder when r(-3) is divided by p(6). 7 Suppose -25169 = -79*r - 65*r + 69151. Calculate the remainder when r is divided by 109. 1 Let v(o) = 18*o + 126. Let s be v(-7). Suppose j - 2*f + 56 = 113, -3*f = s. Let t = -11 + 42. Calculate the r...
{ "pile_set_name": "DM Mathematics" }
4*c. Let q be -15 - (-70)/(-7)*-1. Calculate n(q). -30 Let p(w) be the second derivative of -w**3/6 - 7*w**2/2 - 70*w. What is p(0)? -7 Let i(r) be the third derivative of r**4/24 - r**3/6 - 3*r**2. Let a(k) = -7*k + 13. Let v(s) = a(s) + 6*i(s). Let b(g) = g - 2. Let t be b(5). Determine v(t). 4 Let a(i) = i**3 + i**2...
{ "pile_set_name": "DM Mathematics" }
*j + 2*j + a. Suppose j = 4*w - 3*w. Do 2 and w have the same value? True Let y = -986 - -990. Is -72 at most y? True Let k(c) = c**3 - 13*c**2 + 14*c - 19. Let q be k(12). Suppose 2*z = 3*n - z + 33, q*n + 3*z = -23. Which is smaller: n or 3? n Suppose -415 = -17*l + 146. Is l bigger than 168/5? False Let w(k) = -18*k...
{ "pile_set_name": "DM Mathematics" }
ate -3*m**3*r - 482*m**3*w - 150*m*r*w - 2*m*w with respect to r. -3*m**3 - 150*m*w Find the third derivative of 11664*d**5 + d**3 - 1334*d**2 + 2*d wrt d. 699840*d**2 + 6 Find the first derivative of -83*k**2 - 1848. -166*k Find the first derivative of 200*n**4*q**2 - 2*n**4*q + 2*q**2 - 3*q wrt n. 800*n**3*q**2 - 8*n...
{ "pile_set_name": "DM Mathematics" }
4*h = -2*r + 76. Let a be (r/(-12) + l)/(-3) - 1. What is the second biggest value in 3/4, -3, a? a Let l = 6759.1 + -6759. Let a be (-6)/(-9)*(-2)/4. What is the fourth smallest value in l, a, -1, 5/4? 5/4 Let x = -608 - -607.7. What is the fourth biggest value in 1, -12, -1/7, -5, x? -5 Let w = 5808.03 - 5808. Which...
{ "pile_set_name": "DM Mathematics" }
n be q(c). Solve 7*m - 3*m - 16 = n for m. 4 Let y be (-1)/(-4) + (4 - 135/(-20)). Solve -2*l = -y + 1 for l. 5 Suppose -3*k - 11 = -3*w - w, -w = 2*k - 11. Solve k*g = 1 + 2 for g. 1 Let q = -65 + 65. Solve q = -5*x - 2 + 12 for x. 2 Let y = -39 + 64. Solve -6*w + w = y for w. -5 Suppose 0 = 3*c - 6 - 0. Solve c*p - 1...
{ "pile_set_name": "DM Mathematics" }
be the first derivative of -d**4/4 + 4*d**3/3 + 2. Find the third derivative of w(v) wrt v. -6 Let x(q) be the third derivative of 13*q**7/210 - 7*q**3/3 + 13*q**2. Differentiate x(m) with respect to m. 52*m**3 Find the second derivative of -8*g + 0*g + 12*g + 13*g**2 wrt g. 26 Let n = 8 - 8. Find the second derivative...
{ "pile_set_name": "DM Mathematics" }
*j + 98408*j**2. j**3 + 78268*j**2 Collect the terms in 85384*j + 39995*j**3 - 85384*j. 39995*j**3 Collect the terms in -3*g + 162 + 76 - 415 + 91 + 86. -3*g Collect the terms in 11*p + 1007*p**2 - 929*p**2 - 31*p + 20*p. 78*p**2 Collect the terms in 9711*a + 9753*a - 41*a**2 - 38978*a + 9756*a + 9761*a. -41*a**2 + 3*a...
{ "pile_set_name": "DM Mathematics" }
cement from rrrkkrkkkkrrr. 42/143 Calculate prob of picking 1 c and 2 t when three letters picked without replacement from {z: 4, e: 1, t: 2, c: 3, o: 2}. 3/220 Calculate prob of picking 1 k and 2 n when three letters picked without replacement from ljjnjnsnjnnssnnk. 3/80 Four letters picked without replacement from pp...
{ "pile_set_name": "DM Mathematics" }
2 - -3 - (-3 + 8))? 4 9 - 2 - (-8 + 14) 1 2 + -6 + 9 + -6 + 2 1 Calculate -1 + (-8 - -6) + 1. -2 (-3 - 1) + -6 - (-1 + -5) -4 Calculate (-1 - 2) + 3 + 4 - 4. 0 -90 + 92 - (-1 - 2) 5 What is the value of 9 - (11 + -8 - -8)? -2 What is -6 + -9 + 4 + 7? -4 What is the value of -5 - 0 - (1 + -4 + 2)? -4 Evaluate 4 + 3 + -6...
{ "pile_set_name": "DM Mathematics" }
e 2*b - 6 = -2*u, -2*b + 3*b = f*u + 8. Suppose 0*s - s - 2 = 0. Which is smaller: u or s? s Let a be (6 + 280/(-15))*6/2. Let f be (-2)/6*(-18)/a. Is 0 at most f? False Suppose -1058*m - 15768 = -1067*m. Is m at most as big as 1751? False Let q = 335 + -336. Which is greater: q or 3/394? 3/394 Let u(i) = 15*i + 225. L...
{ "pile_set_name": "DM Mathematics" }
ed by u. 14 Suppose -8*i + 193 - 49 = 0. Suppose y + 12 = p + 2*p, -3*y = -p + 4. Calculate the remainder when i is divided by p. 2 Let v = 349 - 345. Suppose 2*n = -4*l + 4, l - 10 = -5*n - 4*l. Suppose n*y - 25 = -3*y. Calculate the remainder when y is divided by v. 1 Let t = 6546 + -6470. Let u = 92 - 148. Let l = u...
{ "pile_set_name": "DM Mathematics" }
) assuming g is positive. 1 Simplify ((a/(a*a**(1/2)))/a)**(3/13)/((((a/(a/a**(2/7)))/a)/a)/a*a)**(1/30) assuming a is positive. a**(-263/910) Simplify (o*(o*o/((((o*o*o**(1/3))/o*o*o)/o)/o))/o*o)/(o/(o**(-14)/o)*o)*o**(2/29)*o**8 assuming o is positive. o**(-632/87) Simplify (((q/(q**(-1/3)/q))/q)**(-4/5))**0 assuming...
{ "pile_set_name": "DM Mathematics" }
in -276149, -1104664, -2485531, -4418750, -6904321? -9942244 What comes next: 31399175, 31399174, 31399173, 31399172? 31399171 What comes next: 1379, 4936, 10869, 19178? 29863 What is the next term in 522040, 1043710, 1565380, 2087050, 2608720, 3130390? 3652060 What is next in -19600, -78437, -176572, -314065, -490976,...
{ "pile_set_name": "DM Mathematics" }
i**6. Find the third derivative of b(s) wrt s. -360*s**2 What is the second derivative of -15*h**2 - 12*h**4 + 16*h**2 - 13*h + 27*h wrt h? -144*h**2 + 2 What is the second derivative of -3*o**3 - 15*o + 0*o**3 + 8*o wrt o? -18*o Let q(a) be the second derivative of -11*a**4/12 - a**3/6 - 9*a**2 + a + 8. Find the secon...
{ "pile_set_name": "DM Mathematics" }
410707 a prime number? False Is 56113 a composite number? False Is 25573 prime? False Is 1543994 a prime number? False Is 134327 prime? True Is 664901 a composite number? True Is 57221 a composite number? False Is 1056145 a composite number? True Is 20707 prime? True Is 33559 composite? True Is 31615 a prime number? F...
{ "pile_set_name": "DM Mathematics" }
AM? 310 How many minutes are there between 2:49 PM and 7:47 PM? 298 How many minutes are there between 6:10 PM and 7:32 PM? 82 What is 687 minutes after 9:07 AM? 8:34 PM How many minutes are there between 2:10 PM and 11:56 PM? 586 What is 480 minutes after 7:46 PM? 3:46 AM What is 591 minutes after 3:07 PM? 12:58 AM H...
{ "pile_set_name": "DM Mathematics" }
AM? 660 What is 4 minutes before 7:19 AM? 7:15 AM What is 277 minutes before 10:55 AM? 6:18 AM What is 596 minutes after 6:06 PM? 4:02 AM What is 704 minutes before 10:16 PM? 10:32 AM What is 60 minutes after 12:08 AM? 1:08 AM How many minutes are there between 1:03 AM and 4:32 AM? 209 How many minutes are there betwe...
{ "pile_set_name": "DM Mathematics" }
? False Is 40329857 composite? True Is 181091213 a prime number? False Is 14263521 composite? True Is 6933541 a composite number? True Is 52894367 composite? True Is 387831517 prime? True Is 63044363 prime? True Is 4299679 prime? False Is 9667459 composite? False Is 29773187 a composite number? False Is 621139 a compos...
{ "pile_set_name": "DM Mathematics" }
3*c**3 + 2*b**2*c**3 - 2506*b*c**3 wrt b? 84*b*c**3 + 4*c**3 What is the second derivative of -1407*i**2 + 2170*i? -2814 What is the third derivative of 298*o**5 - 68*o**2 wrt o? 17880*o**2 What is the third derivative of 250*i**6 - i**4*k**2 - 3*i**2*k**2 - 97*i*k**2 wrt i? 30000*i**3 - 24*i*k**2 What is the second de...
{ "pile_set_name": "DM Mathematics" }
6595*n - 612. Does 12 divide r(2)? False Suppose -4*i + 20996 = -4*g, -91*i = -86*i - 4*g - 26243. Is 99 a factor of i? True Suppose -25*t + 5*t + 49702 = -58658. Does 7 divide t? True Let o(j) = j**3 - 14*j**2 + 12*j + 7. Let m be o(13). Let x be (10 - 16)*8/m. Suppose -x*a - 180 = -11*a. Is 10 a factor of a? True Sup...
{ "pile_set_name": "DM Mathematics" }
13 What is the i'th term of 15827, 18963, 24189, 31505? 1045*i**2 + i + 14781 What is the h'th term of -163150, -163575, -164000, -164425, -164850? -425*h - 162725 What is the n'th term of -8644, -7125, -4594, -1051? 506*n**2 + n - 9151 What is the r'th term of 265769485, 531538971, 797308457? 265769486*r - 1 What is ...
{ "pile_set_name": "DM Mathematics" }
igit of 3650572328? 2 What is the units digit of 202655842? 2 What is the hundred thousands digit of 1021957961? 9 What is the hundreds digit of 602342648? 6 What is the thousands digit of 345828060? 8 What is the units digit of 61006450? 0 What is the ten millions digit of 81762054? 8 What is the units digit of 967428...
{ "pile_set_name": "DM Mathematics" }
4 + 3*w**2 - 8*w**2 + w**q wrt w. 72*w Let b(c) be the first derivative of -5*c**8/56 + 5*c**4/12 - 4*c - 6. Let s(y) be the first derivative of b(y). Find the third derivative of s(t) wrt t. -600*t**3 Let r(l) be the third derivative of -l**8/20160 - l**6/720 + l**5/30 + 4*l**2. Let p(d) be the third derivative of r(d...
{ "pile_set_name": "DM Mathematics" }
36606201? 6 What is the thousands digit of 685523? 5 What is the tens digit of 533084? 8 What is the tens digit of 322710? 1 What is the thousands digit of 4395419? 5 What is the thousands digit of 8667? 8 What is the hundred thousands digit of 1178603? 1 What is the hundreds digit of 24065954? 9 What is the tens digit...
{ "pile_set_name": "DM Mathematics" }
k = -2.2 + -16.8. Let z = k + 15. Which is the second biggest value? (a) -1/3 (b) z (c) 3/4 a Let j = -20.5 - -21. What is the biggest value in j, -3, -2/19? j Let k(v) = -3*v + 2. Let u(l) = 2*l - 3. Let f(b) = -3*k(b) - 4*u(b). Let d be f(-9). Let a be (0 + 0 + -2)*-2. What is the biggest value in a, -2/5, d? a L...
{ "pile_set_name": "DM Mathematics" }
0, a, 2 Suppose -5*i = -2 + 17. Let c(h) = -h**2 - 3*h + 4. Let o be c(-4). Sort 3, o, i in decreasing order. 3, o, i Suppose -x + 1 - 4 = 0. Let c = 2/19 - 56/171. Sort 2, x, c in decreasing order. 2, c, x Suppose -75 - 10 = 17*v. Sort 0, -3, v in decreasing order. 0, -3, v Let j = -1 - -2. Let r be j/2 + (-18)/(-4). ...
{ "pile_set_name": "DM Mathematics" }
d derivative of 4*g**5*h - 174510*g**4*h**2 + 2*g*h**2 - 25*g*h + 84*g - 5*h**2 wrt g. 80*g**3*h - 2094120*g**2*h**2 Find the third derivative of 2*s**5 - 6*s**4 + 4779*s**3 + 49*s**2 + 3*s + 663. 120*s**2 - 144*s + 28674 What is the second derivative of -70366*o*s*x**2 + 134*o + 4*s*x - 75*s wrt x? -140732*o*s What is...
{ "pile_set_name": "DM Mathematics" }
? 0 Suppose -48*x - 44 = -52*x. Suppose 3*j + 2*j - 220 = 0. Suppose -x = -w + j. What is the remainder when w is divided by 19? 17 Suppose w - 4*i - 60 = 0, -i + 129 = -5*w + 353. What is the remainder when w is divided by 16? 12 Calculate the remainder when 265 is divided by (-26)/(-156) + (-166)/(-12). 13 Suppose -3...
{ "pile_set_name": "DM Mathematics" }
et t be (-6)/27 + (-316)/c. Let h = t - -11. Solve 4*a - 3*p - 26 = 0, h*a - 2*p = -0*a + 14 for a. 5 Let o be -2*(-8)/(-72) - 20/(-9). Solve o*y + y = -2*d + 2, 0 = -2*d - y + 2 for d. 1 Let m be (1 + 6 + -5)*2. Solve 0 = 4*c + 4 + 8, 0 = -j - m*c - 15 for j. -3 Let h = -33 - -46. Solve q + 3 = -3*m - h, 0 = -3*m + q ...
{ "pile_set_name": "DM Mathematics" }
e the first derivative of x**5/25 + x**4/10 - 7*x**3/15 + 2*x**2/5 + 134. Factor z(g). g*(g - 1)**2*(g + 4)/5 Let x(n) = n**3 - n**2 + 3*n + 1. Let r = 169 + -170. Let u(h) = -2*h**2 + 5*h**2 - 2*h**2. Let k(s) = r*x(s) - 4*u(s). Suppose k(m) = 0. Calculate m. -1 Let x(o) = -3*o - 70. Let q be x(-24). Suppose -d - q*d ...
{ "pile_set_name": "DM Mathematics" }
et y = 221 - 220. Let p = 65.93 + -66. Which is the second biggest value? (a) 5 (b) p (c) y c Let y = 1 - 0.3. Let g = 277.2 - 282.2. Which is the fourth smallest value? (a) y (b) g (c) 6 (d) 2 c Let g = -110 + 181. Let q = 114 - g. Let v = q - 45. Which is the third biggest value? (a) v (b) 6 (c) 0.2 a Let l...
{ "pile_set_name": "DM Mathematics" }
8582*s - 1 What is the third derivative of -265*y**5 - y**2 + 7 wrt y? -15900*y**2 What is the third derivative of -5*m**2*q**3 + m**2*q**2 + 16*m**2*q - 2*m*q**3 - m*q**2 wrt q? -30*m**2 - 12*m Differentiate 2*a*d**3*o - 2*a*o - 350*a + 9*d**3*o + 3*d**2*o + d*o + o wrt a. 2*d**3*o - 2*o - 350 Find the second derivat...
{ "pile_set_name": "DM Mathematics" }
**2 + 0*y**2). -74*y**4 Expand (-m**2 - 2*m**2 + 4*m**2)*(-m + m - 2*m) + 175*m**3 + 27369*m**2 - 27369*m**2. 173*m**3 Expand 2*w**2 - 2*w**2 + 2*w**3 + (-11*w**2 - 48*w**2 + 10*w**2)*(-2*w - w - w) - 3*w**3 - 2*w**3 + 3*w**3. 196*w**3 Expand (258 + 30 - 57)*(2 - 2 + 2)*(b**2 - b**2 - b**3). -462*b**3 Expand (0*w**2 + ...
{ "pile_set_name": "DM Mathematics" }
+ 0 - 2 + 1 - 3 + 1). 10*p Expand (0 - 1 + 3)*(-2*s**3 + 2*s - 2*s) + (-1 + 1 + 2*s**2)*(s - 4*s + s). -8*s**3 Expand -7*d**5 - 2*d**2 + 2*d**2 - 2*d**5 + 0*d**5 - d**5 + (-4 + 2 + 4)*(0*d**2 + 2*d**5 + 0*d**2). -6*d**5 Expand 0*l**2 + 4*l**2 - 5*l**2 + (0*l**2 - 2*l**2 + 0*l**2)*(-4 + 3 + 2) + l**2 + l**2 - l**2. -2*l...
{ "pile_set_name": "DM Mathematics" }
om {p: 2, i: 12, h: 4, o: 2}? 8/95 Two letters picked without replacement from wcjwjwjwwwgjhjgwjjfj. What is prob of picking 1 h and 1 w? 7/190 Four letters picked without replacement from uhphgkkughpgk. What is prob of picking 1 h, 1 u, 1 g, and 1 p? 36/715 Calculate prob of picking 2 a when two letters picked without...
{ "pile_set_name": "DM Mathematics" }
506. -7002.0506 Subtract -0.101 from 4142727.5. 4142727.601 Put together -30789 and -214.5. -31003.5 What is 851.5 minus -609723? 610574.5 Sum -10.1772012 and -0.044. -10.2212012 What is 0.4 less than -8433804? -8433804.4 Sum 1.69 and -18225675. -18225673.31 Work out -0.412830603 - 1.3. -1.712830603 What is 83.29 take ...
{ "pile_set_name": "DM Mathematics" }
)))**2. -56*sqrt(2)/11 + 2034/121 Simplify (4*-1*sqrt(132) + sqrt(132) + 4*sqrt(132)*2)/(-4*(sqrt(12) + -1*sqrt(1200) + sqrt(1200) + sqrt(12))). -5*sqrt(11)/8 Simplify 3 + 3 + ((-1 + sqrt(99)*1 + -5)*1)**2. -36*sqrt(11) + 141 Simplify ((-2*sqrt(520))/sqrt(10)*6)/(-5*(sqrt(4) - (sqrt(4) - sqrt(8)/sqrt(2))) + sqrt(4) + (...
{ "pile_set_name": "DM Mathematics" }
cking 1 d and 1 h? 1/18 Calculate prob of picking 2 n and 1 g when three letters picked without replacement from {g: 1, n: 2, a: 1}. 1/4 Calculate prob of picking 2 h, 1 t, and 1 l when four letters picked without replacement from {h: 3, l: 1, s: 1, i: 1, t: 1}. 3/35 Three letters picked without replacement from {x: 3,...
{ "pile_set_name": "DM Mathematics" }
z(-6). Suppose -w = -3*p + 828. Is p a prime number? False Let c(a) be the first derivative of 60*a**2 + a + 97. Suppose 2*b = 2*t, 0 = 3*b - 0*b - t - 8. Is c(b) composite? True Let z be (129 + 4)/(1 + 0). Let c = 189 - z. Let b = 357 + c. Is b a prime number? False Let m = 42 + -36. Suppose 328 = h + m. Suppose h = -...
{ "pile_set_name": "DM Mathematics" }
n when two letters picked without replacement from nnnnnnn. 1 Three letters picked without replacement from ooioaoaiao. Give prob of picking 3 o. 1/12 Four letters picked without replacement from {x: 2, s: 6, b: 2, h: 1, f: 1}. Give prob of picking 2 s and 2 x. 1/33 What is prob of picking 1 y and 1 b when two letters ...
{ "pile_set_name": "DM Mathematics" }
30 = -80. Solve -9*d + y = -23 for d. 5 Let r(y) be the second derivative of 7/6*y**3 + 1/12*y**4 + 6*y + 0 + 2*y**2. Let i be r(-7). Solve -k = -3 + i for k. -1 Let c be (-11 + -1)*(-6)/8. Suppose 5*u + 2*l - 3 = 0, 5*l + 41 = -2*u + 17. Solve u*g - c = -0*g for g. 3 Suppose 4*p - 2*p + 54 = 0. Let z be (p/(-6))/(1/(-...
{ "pile_set_name": "DM Mathematics" }
True Suppose 92 = 3*n - 2*n. Is 4 a factor of n? True Suppose -1064 = -3*z - 98. Suppose 3*t - 3*p = 11 + z, 0 = 2*t + p - 228. Is t a multiple of 34? False Let q(f) = -f**2 - 8*f - 16. Let u = 9 + -20. Let o be q(u). Let j = -22 - o. Is 9 a factor of j? True Let h be 13 - 4/(12/9). Let o = h + 10. Let l = 82 - o. Does...
{ "pile_set_name": "DM Mathematics" }
ert -10201 (base 3) to base 6. -244 What is 31 (base 5) in base 9? 17 b (base 12) to base 13 b What is -21102 (base 3) in base 12? -148 Convert -11001 (base 2) to base 13. -1c What is -156 (base 7) in base 12? -76 What is 120 (base 4) in base 11? 22 Convert 42 (base 8) to base 4. 202 Convert -11010 (base 2) to base 3. ...
{ "pile_set_name": "DM Mathematics" }
Let w(h) = 25*h + 6. Give w(0). 6 Let p(f) = 3*f - 11. Calculate p(2). -5 Let x(j) = -j**2 - 64*j - 352. What is x(-58)? -4 Let s(m) = -2*m**3 + 3*m**2 + 4*m - 1. What is s(3)? -16 Let t(o) = o**2 + 11*o - 22. Determine t(2). 4 Let h(b) = -6*b**2 - b. Determine h(-1). -5 Let t(a) = -12*a - 39. Give t(-3). -3 Let x(l) ...
{ "pile_set_name": "DM Mathematics" }
the least common multiple of 18 and m? 36 Calculate the lowest common multiple of 3 and 6/(-5)*105/(-14). 9 Let h be 1*(43 + 0 + 0). Let f(y) = -12*y - 72. Let p be f(-6). Calculate the common denominator of -67/16 and p/(-3) - h/(-14). 112 What is the common denominator of 76/(-10) - 4/(-8) and (548/48)/(-1 - -2)? 60...
{ "pile_set_name": "DM Mathematics" }
, 5*z = -2*u + 69. Suppose -12 = u*y - 40*y. Solve y = 2*h + 2*h for h. 1 Let x be (-40)/4 + 399 + -4 - -8. Solve 0 = 391*c - x*c for c. 0 Suppose 576 = 30*x - 14*x. Let f be (4 - 2) + (-15)/((-135)/x). Solve 4*m = 2*m - f for m. -3 Let c be (-4 + (-135)/(-35))/(((-8)/(-952))/(-1)). Solve 17*f - 68 = -c for f. 3 Let x ...
{ "pile_set_name": "DM Mathematics" }
= -2*l - d*l. Calculate the remainder when l is divided by a(8). 6 Let g(x) be the second derivative of 4*x**3 - 77*x**2/2 - 56*x. What is the remainder when g(12) is divided by 71? 69 Let k = -8978 + 8990. Let y = -3 - -6. Calculate the remainder when k is divided by y. 0 Let k = -529 + 299. What is the remainder whe...
{ "pile_set_name": "DM Mathematics" }
j**3 - 1845*j**3 + 911*j**3. 5*j**3 Collect the terms in -29*a**3 + 102*a - 102*a + 12*a**3 + 8*a**3. -9*a**3 Collect the terms in 8776 + q**3 + 8770 - 2*q**2 - 17546 + 2*q**2. q**3 Collect the terms in 1023 + 11*z + 17*z - 1023 - 34*z. -6*z Collect the terms in 42*h + 194*h - 1244*h. -1008*h Collect the terms in 5642*...
{ "pile_set_name": "DM Mathematics" }
s -236 + -36572? -36818 In base 2, what is 10011 - -10011100000001111001010? 10011100000001111011101 In base 8, what is 226201345 - -4? 226201351 In base 7, what is 1344 - 4250656? -4246312 In base 7, what is 1 + -550104366? -550104365 In base 7, what is -120150253 + 23? -120150230 In base 4, what is -2330 - 22312322? ...
{ "pile_set_name": "DM Mathematics" }
is the second biggest value? (a) w (b) l (c) m b Let h = 8 + -3. Let m be (-2)/6*(-4 + 7). Let y be -4 - 1 - (m - 1). Which is the third biggest value? (a) -0.5 (b) h (c) y c Let x = 104.5 - 105. What is the smallest value in 0.2, x, -0.6? -0.6 Let n = 188 - 188.3. What is the fourth biggest value in -5, 1/3, 0.1...
{ "pile_set_name": "DM Mathematics" }