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Calculate 1454367157 + -3607. 1454363550 What is 4342 - 5547.526? -1205.526 What is 138681.3 + 2.0143561? 138683.3143561 Work out -31.128431 - 8917. -8948.128431 What is -0.228089 - -0.09688056? -0.13120844 What is 994678237650 less than -17? -994678237667 Calculate -8044679.402 - -3.192. -8044676.21 What is 34 take a...
{ "pile_set_name": "DM Mathematics" }
l - 31. Let p(f) = 4*f - 16. Let t(s) = m*p(s) - 3*x(s). Let o be t(12). Is 0.2 greater than o? False Let q(t) = 5*t**2 - 4*t. Let s be q(3). Let i = s - 35. Let j = -0.05 + 0. Which is smaller: j or i? i Let t = 23 + -18. Suppose 4*h - 122 = 2*c, t*h - 6*c + c - 145 = 0. Suppose 4*i + 26 = -2*k + 4, -4*k - 4*i = h. Wh...
{ "pile_set_name": "DM Mathematics" }
et g(b) be the second derivative of b**5/60 - 5*b**4/9 - 23*b**3/2 + 81*b**2 - 286*b - 2. Find h, given that g(h) = 0. -9, 2, 27 Let h = -2/9005 + 216146/117065. Factor 2/13*i**2 + 0 - h*i. 2*i*(i - 12)/13 Let s = -235548 + 235552. Factor 0 - 4/13*x - 10/13*x**2 + 2/13*x**5 + 2/13*x**s - 6/13*x**3. 2*x*(x - 2)*(x + 1)*...
{ "pile_set_name": "DM Mathematics" }
r(i) = -8337*i + 41771. What is r(5)? 86 Let q(d) = 7208*d - 5319524. Determine q(738). -20 Let t(k) = 2*k**3 + 307*k**2 - 32*k - 28278. What is t(-153)? 27 Let b(h) = -2*h**2 - 322*h - 8701. What is b(-36)? 299 Let n(k) = 4*k**3 - k**2 - 37*k + 180. Calculate n(4). 272 Let g(t) = 28493*t + 4786822. What is g(-168)? -2...
{ "pile_set_name": "DM Mathematics" }
84? False Let w = 84088/75 - 1121. Is 1 at least w? True Let i be (-6)/3*(-6 + (-1233)/(-126)). Which is bigger: -7 or i? -7 Let x = -80 - -146. Let y = x - 45. Suppose 0 = 18*c - 25*c - y. Is c >= -3? True Let b(z) = 12*z + 1. Let r be b(1). Let a be (98/(-14) - 4/16*18)/(-1). Is r at most a? False Let z be (-180)/315...
{ "pile_set_name": "DM Mathematics" }
*q - 20*q - 148 for q. -4 Solve 397*p - 389*p + 10764 = -820*p for p. -13 Solve 1266 - 353 = 83*k for k. 11 Solve 7*a - 40*a = 20*a + 106 for a. -2 Solve -587*t = -1158*t + 547*t + 288 for t. 12 Solve 0 = 4492*y - 4398*y + 658 for y. -7 Solve 0 = 100*f + f + 25*f + 378 for f. -3 Solve 72*u + 419 + 145 = -12 for u. -8 S...
{ "pile_set_name": "DM Mathematics" }
tury? 200 What is 57/5 of a gram in milligrams? 11400 What is 796.1283 nanograms in kilograms? 0.0000000007961283 What is 86829.87ng in kilograms? 0.00000008682987 Convert 313.3429 centimeters to nanometers. 3133429000 How many milligrams are there in one tenth of a gram? 100 How many nanoseconds are there in 63.20969u...
{ "pile_set_name": "DM Mathematics" }
*2 + w + 1. Let a(f) = -f**2 + f - 1. What is b*a(j) + q(j)? -5*j**3 + 4*j - 2 Let b(q) = 9*q**2 + 12*q. Let r(t) = -5*t**2 - 6*t. Let i(v) = -41*v**2 - 453*v - 18. Let f be i(-11). Calculate f*b(m) + 7*r(m). m**2 + 6*m Let y(s) = -130*s**3 + 7*s**2 + 81*s + 14. Let k(m) = -65*m**3 + 4*m**2 + 44*m + 8. Determine 7*k(z)...
{ "pile_set_name": "DM Mathematics" }
factors of x. 2 Let l(z) = z**3 + 4*z**2 + 3*z + 3. Let s be l(-4). Let q be 0 - ((1 - -2) + 1). List the prime factors of q/6*3 - s. 7 Let s(j) = 4*j**2 + j - 5. List the prime factors of s(4). 3, 7 Suppose -4*k + 70 = k. List the prime factors of k. 2, 7 Let u(a) = -a**3 - 5*a**2 + 4*a + 7. Let j be u(-6). List the p...
{ "pile_set_name": "DM Mathematics" }
give d. -17 Express m**2 - m**2 - m**2 as i + z*m + k*m**2 and give k. -1 Express (-1 + 0 - 1)*(6 - 2 - 2)*(1 - i - 1)*(6*i**2 + i**2 - 5*i**2) in the form s*i**3 + x + u*i + a*i**2 and give s. 8 Express 10*w**3 - 11*w**3 + 1 + 1 - 3*w - 2*w**4 + w**4 - 2*w**2 as u*w**4 + m + a*w**3 + b*w + g*w**2 and give a. -1 Expre...
{ "pile_set_name": "DM Mathematics" }
7*i, 0 = 3*i - 9. Suppose 0*g + g = 19. Solve c*n = 3*n + 2*t - 18, -n + w*t = g for n. -4 Suppose -38 = -4*j + 22. Solve -4*w = -n - 11, 2*n - j = -3*w + 5*n for w. 2 Let w be ((1*18)/(-3))/(-1). Suppose 0 = f - 2*f + 2*a - 5, 3*f + w = 3*a. Suppose 4 + f = y. Solve g = -y*c + 8, 2*g - 4*c + 1 = g for g. 3 Suppose 0 =...
{ "pile_set_name": "DM Mathematics" }
v**3. -16*v**5 - 3*v**3 Expand (-1 - 1 + 4)*(-10*v - 12*v + 8*v)*(-4*v - 9*v + 2*v). 308*v**2 Expand (-1 - 2 + 1)*(1 - 1 - 2*y) - 5*y + 4*y - 45 + 2*y + y + 0*y + y. 7*y - 45 Expand (-2 - 18 - 13 + 2*i)*(-4 + 0 - 4). -16*i + 264 Expand (-5*l**3 + 0*l**3 + 2*l**3 - 18*l**2)*(2*l**2 - 10*l**2 - 6*l**2). 42*l**5 + 252*l**...
{ "pile_set_name": "DM Mathematics" }
Simplify ((d*(d*d**(-10)/d)/d)/(d*d*d/(d**2/d)))**(1/54)*(d**6*d*d*((d*d**5)/d)/d)/(d/(d*d**(-1)))**(-15/4) assuming d is positive. d**(559/36) Simplify ((g**(1/9))**21/(g*g/(g/g**(-2/7))*g*g/(g**(-25)/g)))**(32/7) assuming g is positive. g**(-17728/147) Simplify (((v**9)**(-20))**(5/4))**(2/7) assuming v is positive. ...
{ "pile_set_name": "DM Mathematics" }
rs? 78863.15 What is 7/4 of a day in hours? 42 What is 2/7 of a week in hours? 48 What is 8.952795 weeks in hours? 1504.06956 How many minutes are there in twenty-nine thirds of a hour? 580 What is 2.69826us in seconds? 0.00000269826 Convert 824212.8 weeks to milliseconds. 498483901440000 What is 20309.05ug in milligra...
{ "pile_set_name": "DM Mathematics" }
-6*x - 2215488 What is the y'th term of -8727207, -17454413, -26181619? -8727206*y - 1 What is the k'th term of 236460, 472936, 709412, 945888, 1182364, 1418840? 236476*k - 16 What is the u'th term of 8251803, 8251802, 8251809, 8251830, 8251871? u**3 - 2*u**2 - 2*u + 8251806 What is the c'th term of -115970, -115871, ...
{ "pile_set_name": "DM Mathematics" }
2638? 75*c**2 - 11*c + 4 What is the c'th term of 2, 13, 28, 47, 70? 2*c**2 + 5*c - 5 What is the k'th term of -2343, -2341, -2339? 2*k - 2345 What is the b'th term of 368, 741, 1114? 373*b - 5 What is the w'th term of -316, -648, -980? -332*w + 16 What is the m'th term of 1271, 1276, 1293, 1328, 1387, 1476, 1601? m**3...
{ "pile_set_name": "DM Mathematics" }
493258, 986822, 1480386, 1973950, 2467514? 2961078 What is the next term in -1297, -1590, -2093, -2818, -3777? -4982 What is the next term in -1674253, -1674251, -1674249, -1674247, -1674245? -1674243 What is the next term in 6756, 26455, 59292, 105273, 164404, 236691, 322140? 420757 What is the next term in 782418, 15...
{ "pile_set_name": "DM Mathematics" }
. Let w(m) = 57*m**2 - 4. Let f(j) = 169*j**2 - 11. Let t(b) = 4*f(b) - 11*w(b). Calculate k(t(i)). 147*i**2 Let h(m) = -116*m + 348. Let t(q) = -3. Let y(s) = h(s) + 116*t(s). Let z(l) = 2*l. Calculate y(z(w)). -232*w Let c be (-3)/7 + (-17)/(-7). Let p(a) = -3*a**2 - 2*a**2 + c*a**2. Let m(t) = 2*t**2. Give p(m(q)). ...
{ "pile_set_name": "DM Mathematics" }
he third derivative of -33*o**3*s**3 - 65*o**3*s + 19*o**2*s**3 + o*s**3 + o*s - 47 wrt o. -198*s**3 - 390*s Find the third derivative of 19*b**3*g**2*r - 2*b**3*g + 184*b**3*r - 2*b**2*g*r - 2*b*g**2*r + b*g**2 - 75*b*g*r wrt b. 114*g**2*r - 12*g + 1104*r What is the second derivative of -5*g**5 + g**4 - 10357*g**2 + ...
{ "pile_set_name": "DM Mathematics" }
)? 0 Suppose 3 = -u + 2*u. Suppose -5*p = -u*p - 4. Suppose -2*d + 14 = p. What is the remainder when d is divided by 4? 2 Suppose 620 = 5*j - v, -5*j + 4*j + 150 = 5*v. Calculate the remainder when j is divided by 32. 29 Let h(p) = 2*p - 2. Let q(s) = 8*s + 1. Let a be q(-2). Let l = 21 + a. What is the remainder when...
{ "pile_set_name": "DM Mathematics" }
- 2379*s**2 - 3351*s - 1440. 3*(s - 160)*(s + 1)**2*(s + 3) Find h, given that 12*h**2 - 4*h - 96 = 0. -8/3, 3 Suppose 3*n**5/2 - 15*n**4 - 75*n**3/2 + 15*n**2 + 36*n = 0. Calculate n. -2, -1, 0, 1, 12 Factor 2*c**3/5 + 74*c**2/5 + 124*c/5 - 112. 2*(c - 2)*(c + 4)*(c + 35)/5 What is u in -u**5 + 23*u**4 - 94*u**3 - 43...
{ "pile_set_name": "DM Mathematics" }
3 - c**2 + c*y - 4*y**4 - 2*y**2 wrt y. -146850*c**3 - 96*y Find the second derivative of -1471170*x**2 + 2118681*x wrt x. -2942340 Find the third derivative of 1027354*d**5 - 243392*d**2 wrt d. 61641240*d**2 Find the first derivative of 6236*g**4*l**2 - 2*g**4*l + 31840*l**2 wrt g. 24944*g**3*l**2 - 8*g**3*l What is t...
{ "pile_set_name": "DM Mathematics" }
f? 33/70 What is prob of picking 1 m and 2 r when three letters picked without replacement from {m: 2, g: 2, r: 2, n: 2, q: 3, x: 1}? 1/110 Four letters picked without replacement from ffffffffffffffeffff. Give prob of picking 1 e and 3 f. 4/19 Two letters picked without replacement from qppqqqppppqqpppqppp. What is pr...
{ "pile_set_name": "DM Mathematics" }
255 What is the u'th term of 998, 3154, 6522, 11102, 16894? 606*u**2 + 338*u + 54 What is the p'th term of 110356, 110336, 110316, 110296, 110276? -20*p + 110376 What is the x'th term of -4680279, -4680282, -4680287, -4680294? -x**2 - 4680278 What is the i'th term of 1285, 1776, 2487, 3418, 4569, 5940, 7531? 110*i**2 +...
{ "pile_set_name": "DM Mathematics" }
is divided by 17? 16 What is the remainder when (-875)/(-15) + 4/(-12) is divided by 15? 13 Let n = -13 - -25. Calculate the remainder when 2/(-3) - (-46)/6 is divided by (n*1)/3*1. 3 Let d(u) = -2*u**3 + 8*u + 4. Let a(f) = 7*f. What is the remainder when a(1) is divided by d(-2)? 3 Suppose 75 = -0*h + 3*h. Suppose 0...
{ "pile_set_name": "DM Mathematics" }
2910819, -12910828, -12910851, -12910894, -12910963, -12911064? -12911203 What comes next: -5832, -11757, -17826, -24039? -30396 What is next in 4064, 8102, 12112, 16100, 20072? 24034 What is the next term in -4122643, -8245216, -12367789, -16490362, -20612935, -24735508? -28858081 What comes next: -2, 351, 1038, 2047,...
{ "pile_set_name": "DM Mathematics" }
the third derivative of -f**6/12 - 8*f**5/15 - 13*f**2 + f. Find the third derivative of l(x) wrt x. -60 Let h(i) be the first derivative of -13*i**7/42 + 17*i**3/6 + 18*i + 3. Let l(f) be the first derivative of h(f). What is the second derivative of l(m) wrt m? -260*m**3 Suppose -10*a + 5*a + 80 = 0. What is the sec...
{ "pile_set_name": "DM Mathematics" }
What is the lowest common multiple of m and 8? 40 Suppose c + 2*v = 43, 0 = -2*c + v + 40 + 61. Calculate the lowest common multiple of c and 9. 441 Let n = -34059/8 - -4250. Calculate the common denominator of (-2)/(-8) - 23*-1 and n. 8 Let x be -218 - -1 - (5 - 4). Find the common denominator of -57/16 and ((-9)/132)...
{ "pile_set_name": "DM Mathematics" }
t is 2001290 rounded to the nearest 100000? 2000000 What is 99640 rounded to the nearest one thousand? 100000 Round -0.8026 to two decimal places. -0.8 Round -0.11336 to two dps. -0.11 Round -0.003781 to 4 decimal places. -0.0038 What is -41.734 rounded to 1 decimal place? -41.7 What is 0.0003338 rounded to 5 dps? 0.00...
{ "pile_set_name": "DM Mathematics" }
1. Let b be i(2). Let m be (2/6)/((-2)/6). Let v be (-3 - -7)*m/(-2). Is b at least v? False Suppose 2*o - 3*k - 40 = 0, -2*k + 25 = 4*o - 23. Is o < 13? False Let b = 12 + -4. Which is smaller: b or 7? 7 Let g = 5 + -6. Let q = g + 0. Does 0 = q? False Suppose -2*j + k = -7, -4*j - 3*k + 25 = 6. Suppose 0 = -j*w - 5*...
{ "pile_set_name": "DM Mathematics" }
vided by 23. 20 Suppose u - 5 + 0 = 0. Suppose 3*g - 12 = 0, u*g = 3*x + g - 29. What is the remainder when 27 is divided by x? 12 Let r = 29 - 20. What is the remainder when (-90)/r*10/(-4) is divided by 9? 7 Let j(s) = s**3 + 6*s**2 - 8*s - 7. Let q = -15 - -8. Let x be j(q). Suppose -5*l = 5*n - 60, 8*n - 3*n - 15 =...
{ "pile_set_name": "DM Mathematics" }
d by x(u). 0 Suppose -4*u + 4*n = -u - 277, 2*u = -4*n + 218. Let x(p) = 24*p**3 - p**2 + 3*p - 1. What is the remainder when u is divided by x(1)? 24 Let y(f) = -f**3 + 105*f**2 - 591*f - 3. Suppose -4*x = 4*z - 424, -5*x + 2*x = 5*z - 322. What is the remainder when x is divided by y(6)? 14 What is the remainder when...
{ "pile_set_name": "DM Mathematics" }
1. -26, -4, 0, 1 Sort 1, -2, -345, -1 in increasing order. -345, -2, -1, 1 Put 5, 18, 6 in ascending order. 5, 6, 18 Put 0, -8, -19, 4 in ascending order. -19, -8, 0, 4 Sort 20, -3/2, -1 in descending order. 20, -1, -3/2 Sort 0.3, -1, -2, 8, -3 in ascending order. -3, -2, -1, 0.3, 8 Put -2, 15, -4 in decreasing order. ...
{ "pile_set_name": "DM Mathematics" }
Let x = -3 + 3.1. Which is greater: -4 or x? x Let z be 19 - (2 - 5)/(-3). Let k = z + -56/3. Which is smaller: 1/4 or k? k Suppose -6*n = -n. Is n smaller than 0? False Let i = -25 + 23. Is -7 <= i? True Let d = 8.64 - -0.16. Let r = -9 + d. Is r at least 0.2? False Let x be ((-11 - -4) + 6)*0. Let l be (-6)/(2 + -1 ...
{ "pile_set_name": "DM Mathematics" }
t is the next term in -1103, -1102, -1111, -1136, -1183, -1258, -1367, -1516? -1711 What is the next term in 1172, 1594, 2014, 2432, 2848, 3262, 3674? 4084 What is next in -104, -53, 70, 301, 676? 1231 What is next in 2370, 2378, 2386, 2394, 2402, 2410? 2418 What is next in -5693, -5667, -5641? -5615 What is the next t...
{ "pile_set_name": "DM Mathematics" }
is the value of ((-126)/36)/(15/6 - 2)? -7 Evaluate 135/(-350) - (-10)/35. -1/10 What is (-12)/(-216) + -2*(-3)/(-12)? -4/9 (-2 - -8 - 5)*5 5 (-27)/18 + 27/6 - 6 -3 What is the value of 1 - (-7)/(14/8)? 5 What is the value of 10/40*(0 - 1)? -1/4 (2/4)/((-5)/30) -3 What is 131/(-11790) + 2/18? 1/10 Calculate (0 - (-2)/...
{ "pile_set_name": "DM Mathematics" }
-2 + 5 - 2) + w**3 + 3*w**3 - 5*w**3. -w**3 Expand (2*s + s - s)*(-4*s + s + 2*s) - 20*s**2 + 2*s + 24*s**2 - s. 2*s**2 + s Expand (4*u - 2*u - u)*(-4*u + 4*u**4 - 5*u**4 + u). -u**5 - 3*u**2 Expand (1 - 3 - 2)*(-t + 3 - 3)*(-3*t**3 + 0*t**3 + 2*t**3). -4*t**4 Expand (3 + 1 - 2)*(2*b + 4 - 4) + b + 0 + 0 + (-b - b - 9*...
{ "pile_set_name": "DM Mathematics" }
- -6). Suppose -2*q + 5*q = 9. Suppose -2*d + q + 7 = 0. Solve -3*i + 2*w + 11 = -x*i, -d = -i + 2*w for i. -3 Suppose 0 = -6*m + 5*m + 2. Suppose -3*t = m*t. Solve 4*y + t*k + 2*k = -12, 0 = -4*y - 3*k - 10 for y. -4 Let a be 54/10 - (-4)/(-10). Suppose -z - 3*b = -5*b - 2, 5*z + 2 = -2*b. Solve 4*i + 2*r + 2 = z, -4*...
{ "pile_set_name": "DM Mathematics" }
**2 + 11*d - 11. Give -4*f(t) + 11*v(t). 2*t**3 Let a = 32 + -58. Let d be 3/((-2)/(-4) - 1). Let r(j) = -4*j**2. Let g(u) be the second derivative of 17*u**4/12 + 18*u. Give a*r(f) + d*g(f). 2*f**2 Let g(k) = -17*k**2 - 4*k - 9. Let f(t) = -9*t**2 - 2*t - 5. Determine 11*f(v) - 6*g(v). 3*v**2 + 2*v - 1 Let n(o) = -6*o...
{ "pile_set_name": "DM Mathematics" }
w be -8*(-3 + 1*4/16). Suppose 17*r = w*r - 315. List the prime factors of r. 3, 7 Suppose -k + 3*h = -175, 3*h + 567 = 3*k + 8*h. Suppose 5*r = -3*z + 306, -4*r = -r + 2*z - k. List the prime factors of r. 2, 3, 5 Let z(k) = -4*k**2 - k + 3. Let a be z(0). What are the prime factors of (54 - a) + 4/(-1)? 47 Suppose s ...
{ "pile_set_name": "DM Mathematics" }
(m) = -3 - m**2 + 35*m + 15 - 37*m - 4*m**3. Let j(b) = 2*n(b) + 11*y(b). Is j(-7) a prime number? True Let w(v) = -4*v**3 - v**2 - 2*v. Let u be w(-1). Suppose -u*y - 4 = -7*y. Suppose 5*d + 4*s - 203 = 0, -2*d + y*s = -0*s - 92. Is d a composite number? False Suppose k = -288 - 1793. Let d = k - -3648. Is d composite...
{ "pile_set_name": "DM Mathematics" }
d derivative of -g**5/30 - g**4/6 - g**3/2 - 3*g**2. Calculate j*u(o) - 5*n(o). 2*o**2 - 1 Let d(q) = 14*q - 53. Let f(t) = 5*t - 16. Calculate 3*d(g) - 8*f(g). 2*g - 31 Let u(f) = -3. Let q(r) = -5. Let d(z) = -3*q(z) + 4*u(z). Let v(g) = 8*g - 29. Let a(j) = 3*j - 10. Let t(w) = -11*a(w) + 4*v(w). Give -5*d(p) - 2*t(...
{ "pile_set_name": "DM Mathematics" }
0.13, a, -1/4? a Let f = -80.89 - -1.89. Let r = -73.9 - f. Let u = r + -5. Which is the second biggest value? (a) 2 (b) -4 (c) u c Suppose 2*w = -w. Let d = -43/124 + 3/31. Which is the second biggest value? (a) 1/10 (b) d (c) w c Let j = 1431/5 - 286. What is the second biggest value in 1/4, -2/15, -0.3, j? j L...
{ "pile_set_name": "DM Mathematics" }
for i. -12 Solve -699*q = -2452*q - 92909 for q. -53 Solve 20069*i + 372936 + 521209 + 60505 = 232166 for i. -36 Solve -60223*l = -60389*l - 625 + 7763 for l. 43 Solve -351*u - 1704*u = -443*u + 5053*u - 653170 for u. 98 Solve 355*b = -52 - 1957 - 476 for b. -7 Solve 0 = 653*p + 470*p + 4729 - 18205 for p. 12 Solve -33...
{ "pile_set_name": "DM Mathematics" }
2*y - 5*p**2*y + p**2 wrt l. 194*l*p**2*y Find the first derivative of -209*i**4 + 927 wrt i. -836*i**3 What is the first derivative of 4*i**3 + 10*i + 185? 12*i**2 + 10 What is the derivative of 155*t + 75? 155 What is the second derivative of -16*v**3 + 51*v**2 + 2*v + 1125 wrt v? -96*v + 102 What is the first deriva...
{ "pile_set_name": "DM Mathematics" }
h(v) = 3*v**3 + 4*v**2 - 28*v + 78. What is the units digit of h(6)? 2 Let a = -2445 - -3958. What is the units digit of a? 3 Let r(h) = 2*h**2 - 15*h - 124. What is the units digit of r(13)? 9 What is the hundreds digit of 1/(-10) + (-4704810)/(-1100)? 2 Suppose 0 = -17*x + 12*x - 15. Let k(r) = -22*r + 2. What is the...
{ "pile_set_name": "DM Mathematics" }
termine f*w(d) - 4*g(d). -3*d - 1 Let i(b) = -9*b**3 + 4*b**2 + 7*b + 19. Let o(p) = -4*p**3 + 2*p**2 + 3*p + 10. Determine 3*i(g) - 7*o(g). g**3 - 2*g**2 - 13 Let r(c) = 2*c**2 + 7. Let k(a) = -a**2 + 28 - 74 + 3*a**2 + 38 - 4*a**2. What is -4*k(n) - 5*r(n)? -2*n**2 - 3 Let y(s) = -s**3 - 7*s - 4. Let k(d) = -d**3 - 4...
{ "pile_set_name": "DM Mathematics" }
47*v**2 + 397*v - 80. Let p(h) = j(h) + 5*o(h). Let p(s) = 0. What is s? -35, -13, 1 Let u = 448 - 443. Suppose -51 = -5*k + 139. Factor u*j**3 + k*j**5 + 38*j**5 - 81*j**5. -5*j**3*(j - 1)*(j + 1) Let h(d) = 22*d**2 + 13*d - 25. Let k be h(2). Factor 319 - k + 2*o**2 - 72 - 86 - 24*o. 2*(o - 6)**2 Let k(y) be the seco...
{ "pile_set_name": "DM Mathematics" }
-13 - w. Sort i, 5, 2 in descending order. 5, 2, i Let i be 1/5 - (-10)/50. Sort 3, -4, i, -0.1 in descending order. 3, i, -0.1, -4 Let w be (-1)/(-2) - 6/4. Let f be -2 + w - (-9 - -1). Sort 1, f, -1. -1, 1, f Suppose -41178 = 4*p - 2*a + 166064, 5*p - 4*a + 259045 = 0. Let l = p + 468290/9. Let y = l - 219. Sort 3, -...
{ "pile_set_name": "DM Mathematics" }
*(1/6))*(f*f/(f/(f*f**0*f)))**(-4)) assuming f is positive. f**(395/12) Simplify ((d**6)**(2/13)*(d*d*d*d*(d*d**(-1))/d*d)/d*d*d**(-13)*d*d)**47 assuming d is positive. d**(-3713/13) Simplify ((c**(-7)/(c/(c/(c**(-1/4)/c)*c)))/(c**(2/3))**(-8/11))/(c**(4/5)*c**5)**(-25) assuming c is positive. c**(18577/132) Simplify (...
{ "pile_set_name": "DM Mathematics" }
omposite number? True Suppose 53*c + 42*c + 2441883 = 98*c. Is c prime? True Suppose 39118 = -14*h + 290320. Is h composite? True Suppose -20*y - 16774 = b - 15*y, -4 = -4*y. Let a = b + 29408. Is a prime? False Let r(c) be the second derivative of c**6/120 + c**5/30 + c**4/8 - 11*c**3/6 + 4*c**2 + 4*c. Let q(a) be the...
{ "pile_set_name": "DM Mathematics" }
94 = 38*l + 110 for l. -8 Solve -k + 2 = 6 for k. -4 Solve -2*p + 30 = 4*p for p. 5 Solve 82*q - 308 = 38*q for q. 7 Solve -14*i + 22 = 36 for i. -1 Solve 0 = -8*m + 34 - 10 for m. 3 Solve -37*y + 60 = -67*y for y. -2 Solve 12*a - 3*a = 18 for a. 2 Solve a = -78 + 80 for a. 2 Solve -1262 + 1280 = -3*y for y. -6 Solve -...
{ "pile_set_name": "DM Mathematics" }
1764, -1/7 Put 0.1, 8, -41, 2/35, 0.01, 4 in descending order. 8, 4, 0.1, 2/35, 0.01, -41 Sort -74, 3, 5, -408, 6, -53 in decreasing order. 6, 5, 3, -53, -74, -408 Sort -69, -5, 47360 in ascending order. -69, -5, 47360 Put -3, 0.8, -7, 0, -2, 7, 44 in decreasing order. 44, 7, 0.8, 0, -2, -3, -7 Put -4, 9, 76, 11, -3, 4...
{ "pile_set_name": "DM Mathematics" }
+ 7*h - 14, 3*h + 0 = 6 for z. 2 Solve 0 = -3*j + 4*y + 4, 3*j + 5*y = -2*y - 7 for j. 0 Solve 2*s + 3*s = -2*q + 7*s - 6, 0 = 2*s + 4 for q. -5 Solve n + 7 = -5*a, -5*n - 165*a + 9 = -162*a for n. 3 Solve 5*j + 3 = 2*g, -3*g - 56*j + 7 = -61*j for g. 4 Solve 4*u + 128 = 5*g + 172, -3*u + 27 = -3*g for u. 1 Solve -479*...
{ "pile_set_name": "DM Mathematics" }
) = -37*o - 558. Let h be s(-15). Let k(g) = g + 1. Let y(q) = q. Let t be y(3). Let n(a) = 2*a + 1. Determine h*n(j) + t*k(j). -3*j Let g(f) = f**2 + 2*f - 4. Let l(h) = -2*h**2 - 3*h + 5. Let j(n) = -5*g(n) - 4*l(n). Let v(s) = -14*s**2 - 8*s - 5*s - 5*s**2. Determine -39*j(t) - 6*v(t). -3*t**2 Let c(n) = -3*n**3 + 6...
{ "pile_set_name": "DM Mathematics" }
rmine g(y). -45 Let c be (17 - 25 - (-138)/15)/(1/(-5)). Let m(u) = u**3 + 5*u**2 + 7*u + 2. Calculate m(c). -76 Let l(x) = -3*x**2 - 2*x - 8. Let w(n) = n**3 - 9*n**2 + 67*n - 300. Let h be w(6). Give l(h). -104 Suppose 95*c - 92*c = 0. Suppose 3*b + s - 5*s + 23 = c, s - 17 = 3*b. Let a(u) = 3*u - 7. Give a(b). -22 L...
{ "pile_set_name": "DM Mathematics" }
-2)/(-20))/((-3)/18)). Let u = -0.01 - -2.01. Which is the third biggest value? (a) k (b) -4/3 (c) u a Let t = -62 - -59. Let s = 8 - 8.3. Which is the third biggest value? (a) t (b) 1 (c) s a Suppose -2*z = j - 1, -2*z - 22 = -5*j - 5. Let g = 48.6 - 49. Which is the third biggest value? (a) -4 (b) g (c) z (...
{ "pile_set_name": "DM Mathematics" }
4) to base 12. -25a9a Convert -205 (base 15) to base 4. -13013 Convert 1107 (base 8) to base 4. 21013 -41431 (base 7) to base 8 -23665 What is -96 (base 16) in base 11? -127 Convert -1c90 (base 13) to base 16. -10f6 -2c8 (base 16) to base 6 -3144 Convert 21325 (base 9) to base 6. 145205 What is -43042 (base 5) in base...
{ "pile_set_name": "DM Mathematics" }
e of (-16 - (-910)/63) + 1940/1305? -2/29 What is 9/((-351)/390) - (0 - 11)? 1 Evaluate -1 + (-256)/24 - (4/6)/2. -12 Evaluate ((-28)/(-18))/((952/(-2448))/(7/(-4))). 7 What is ((-32)/14*483/(-345))/((-2)/(-5))? 8 What is the value of 1454/(-44) + 471/10362? -33 Calculate 2/(-8) - (140/(-40) - 87/(-24)). -3/8 What is -...
{ "pile_set_name": "DM Mathematics" }
is the third biggest value in 3, -0.4, -30, 4/5? -0.4 Which is the fourth biggest value? (a) -12 (b) -13 (c) 0.4 (d) -1 (e) 1 a What is the smallest value in 198, 1/3, -0.4? -0.4 What is the third smallest value in 2/5, -36, 2/9? 2/5 What is the third smallest value in 0.03, -4.3, 2/21? 2/21 What is the second sma...
{ "pile_set_name": "DM Mathematics" }
AM and 3:32 PM? 689 How many minutes are there between 6:01 AM and 5:44 PM? 703 How many minutes are there between 8:41 AM and 5:06 PM? 505 What is 117 minutes after 3:08 AM? 5:05 AM How many minutes are there between 5:25 PM and 2:55 AM? 570 What is 35 minutes before 11:10 AM? 10:35 AM What is 172 minutes after 11:49 ...
{ "pile_set_name": "DM Mathematics" }
en 461345 is divided by 7203. 353 Calculate the remainder when 17453 is divided by 5764. 161 What is the remainder when 350565 is divided by 70108? 25 What is the remainder when 2261492 is divided by 54? 26 Calculate the remainder when 316089 is divided by 1175. 14 What is the remainder when 3725026 is divided by 36519...
{ "pile_set_name": "DM Mathematics" }
**2 Collect the terms in -4*s - 5*s + 4*s + 3*s. -2*s Collect the terms in -62*v - 69*v + 173*v. 42*v Collect the terms in 7*d**2 + 45*d - 81*d + 36*d - 5*d**2. 2*d**2 Collect the terms in -2 - 2*j**3 - 1 - 8*j**3 - 1. -10*j**3 - 4 Collect the terms in 0*b + 3*b + 19*b - 3*b + 15*b. 34*b Collect the terms in -217 + 217...
{ "pile_set_name": "DM Mathematics" }
? 3, 5 Let j(s) = -11*s - 1. Let t(r) = -r + 4. Let i be t(5). Let l be j(i). Let b = l - 0. What are the prime factors of b? 2, 5 Suppose -122 = 5*z - 787. What are the prime factors of z? 7, 19 Suppose -36*j = -37*j + 42. What are the prime factors of j? 2, 3, 7 List the prime factors of -1 - (3*-5 + 2). 2, 3 Suppose...
{ "pile_set_name": "DM Mathematics" }
pose -4*n - 4 = -5*x + 8, 3*n - 26 = -5*x. Let o(t) = -2*t - 3. Let p be o(-4). Suppose -n*h + p*h - 51 = 0. Is 13 a factor of h? False Let y(f) = -8*f**3 - f**2 - 2*f + 8. Let n(h) = -7*h**3 - h**2 - 2*h + 7. Let l(g) = -7*n(g) + 6*y(g). Does 15 divide l(2)? True Suppose -q = -4*h - 53, h = 5*q + 2*h - 202. Suppose -6...
{ "pile_set_name": "DM Mathematics" }
8. Let v be (-3)/((18/4)/q). Let m(u) = -v*u + 3*u - 2*u. Let y(p) = 3*p**2. What is y(m(i))? 3*i**2 Let q(b) = -4*b - 2. Let g be q(-3). Let v = -6 + g. Let u(d) = v*d - 5*d - 3*d. Let o(t) = -t. Determine u(o(r)). 4*r Let s(t) = -20*t - 26*t + 61*t - 17*t. Let d(b) = -2*b**2 - 19*b. Give d(s(r)). -8*r**2 + 38*r Let m...
{ "pile_set_name": "DM Mathematics" }
t k = v - -103. What are the prime factors of x(k)? 5 Suppose -71*a + 90 = -70*a. Let k = 395 - a. List the prime factors of k. 5, 61 Let c(v) = 11*v**2 + 18*v + 39. Let f be c(-23). Suppose 0 = 4*s - 5*r - f, 5*s - 10002 + 3164 = -2*r. What are the prime factors of s? 2, 683 Let c(d) = -d**3 + 10*d**2 + 21*d - 1. Let ...
{ "pile_set_name": "DM Mathematics" }
8 and 2413692? 54 Calculate the greatest common factor of 52780554 and 144. 18 What is the highest common factor of 10 and 17121? 1 Calculate the highest common divisor of 61990 and 185. 5 Calculate the highest common divisor of 1279365 and 24. 3 Calculate the greatest common divisor of 11684 and 416029267. 2921 What i...
{ "pile_set_name": "DM Mathematics" }
ger? 4 What is the seventh root of 545542 to the nearest integer? 7 What is 717782 to the power of 1/9, to the nearest integer? 4 What is 1994128 to the power of 1/5, to the nearest integer? 18 What is 679003 to the power of 1/7, to the nearest integer? 7 What is the fourth root of 801750 to the nearest integer? 30 Wha...
{ "pile_set_name": "DM Mathematics" }
/581 - -155592/16849. Let r = s - v. What is the common denominator of -65/4 and r? 28 Suppose z + 0*z + 3*a = 716, -4*a = -2*z + 1412. Calculate the smallest common multiple of z and 4. 1420 Calculate the common denominator of (-4)/10 - 422/(-105) and 1/(-10) + 30/70. 210 Let t = -4080 + 14844. Find the common denomin...
{ "pile_set_name": "DM Mathematics" }
y**2 + 10*y - 4. Let a be o(-11). Suppose 399 = -a*k + 1414. Calculate the greatest common factor of 29 and k. 29 Suppose -640 = -303*b + 295*b. What is the greatest common factor of 64 and b? 16 Suppose -2*q = -q. Let x = -8 + 24. Suppose 4*t + x = 0, 3*i - 2*t - 2 - 24 = q. Calculate the highest common divisor of 15 ...
{ "pile_set_name": "DM Mathematics" }
*h**2 + 4*h - 4 wrt m? -673221*h**3*m**2 + 676*h**3*m What is the first derivative of 11118835*k - 13641737? 11118835 What is the first derivative of -5475*c**2*w - 3*c**2 - 18*c - 15631*w + 123304 wrt w? -5475*c**2 - 15631 Differentiate -12*a**2*k - 6997554*a**2 - 43*k**3 + 525*k with respect to k. -12*a**2 - 129*k**2...
{ "pile_set_name": "DM Mathematics" }
pose y*v = -1 + 61. Solve 5*h - 9 = v for h. 3 Suppose 0 = -5*c + 24 + 141. Solve -26*h = -c*h + 21 for h. 3 Let i(r) = 150*r + 125. Let y be i(0). Solve -85 = -8*s - y for s. -5 Let m = 43 + -140. Let q = -97 - m. Solve q*s = 6*s for s. 0 Let a(n) = n**2 + 47*n + 624. Let v be a(-38). Solve 0 = -3*y + 50*y + v for y. ...
{ "pile_set_name": "DM Mathematics" }
-4*r**2 + 5. Let a(j) = -6*h(j) - 10*w(j). Calculate n(a(c)). 28*c**2 Let l(g) = 4062*g - 55. Let f(h) = -4*h**2. Calculate l(f(y)). -16248*y**2 - 55 Let y(a) = -7449*a**2. Let m(g) = -g + 2923. Give m(y(i)). 7449*i**2 + 2923 Let y(l) = 4*l**2 - 42*l. Let b(j) be the second derivative of 2*j**3/3 + 6190*j. Calculate b...
{ "pile_set_name": "DM Mathematics" }
59 minutes after 12:43 AM? 8:22 AM What is 472 minutes before 6:23 PM? 10:31 AM What is 88 minutes before 11:30 PM? 10:02 PM What is 416 minutes before 5:23 AM? 10:27 PM How many minutes are there between 11:00 AM and 7:05 PM? 485 How many minutes are there between 1:52 AM and 12:22 PM? 630 How many minutes are there b...
{ "pile_set_name": "DM Mathematics" }
te q(18). 30 Let l(z) = 5*z - 1. Determine l(-3). -16 Let t(o) = 6*o - 16. Determine t(5). 14 Let o(z) = -4*z**3 - 3*z**2 + 5*z + 4. Determine o(-3). 70 Let s(j) = -5*j + 41. Calculate s(12). -19 Let v(d) = -7*d - 2. Determine v(-1). 5 Let s(m) = -m**3 - 6*m**2 - 4*m - 5. What is s(-4)? -21 Let x(a) = -a**3 - 23*a**2 +...
{ "pile_set_name": "DM Mathematics" }
-k**3 - 4*k**2 + 4*k + 4. Let n be g(-4). Let o be 4/(n/a) - -2. Determine z(o). -3 Let t(o) = 3*o + 3. Let i(l) = l**3 + 3*l**2 - 7*l - 3. Let f be i(-5). Let v = -15 - f. Give t(v). 12 Let c(v) = -v**2 + 4*v - 3. Suppose -2*s - 2*p + 26 = 0, 4*p - 8 - 8 = -s. Suppose s = 2*u + 2*u. Calculate c(u). 0 Let g(r) = r**3 -...
{ "pile_set_name": "DM Mathematics" }
b: 2}. What is prob of sequence br? 1/5 Four letters picked without replacement from {j: 1, t: 1, i: 4, w: 1, z: 7, l: 4}. Give prob of sequence izji. 7/6120 Calculate prob of sequence qqi when three letters picked without replacement from {i: 7, d: 6, q: 2}. 1/195 Four letters picked without replacement from llll. Giv...
{ "pile_set_name": "DM Mathematics" }
biggest value in y, 2/5, 3, c? 3 Let m be 4 + (-9)/((-18)/(-4)) + -2. Suppose 0*u = u - 5*d + 24, 4*d - 20 = m. Which is the smallest value? (a) u (b) 3/7 (c) -0.2 c Let t = -3613.9 + 3614. Which is the second biggest value? (a) t (b) -8/7 (c) -0.3 (d) 1/6 a Let z = -6 - -10. Let o = -799.8 - -799.7. Which is th...
{ "pile_set_name": "DM Mathematics" }
r**3))/(r**(2/5)*r**(-7)))/((r/r**(-5)*r**(-6))/(r*(r**(-1/6)/r)/r*r**(-3/2)*r)) assuming r is positive. r**(44/15) Simplify u/((u/(u/(u/u**43)))/u*u)*u*(u/((u/(u*u**37*u))/u))/u*u*(u*u/u**(1/16))/(u/(u*(u**12/u)/u)) assuming u is positive. u**(1535/16) Simplify (t*t**(-34))**(-47)/((t/(t/t**(1/50)))/t)**(-17/6) assumi...
{ "pile_set_name": "DM Mathematics" }
e -l + 0 + 6 = 0. What is the lowest common multiple of p(-10) and 0 + l - (3 + -5)? 8 Let z = 19 + 11. What is the lowest common multiple of (-17 - (-3)/(-3))*30/(-20) and z? 270 Let w be 312/(-182) + 2/(-7). Calculate the common denominator of (777/240 + 1)*w/3 and -39/8. 40 Let u = -25 + 17. Suppose 3*l + z - 66 + 1...
{ "pile_set_name": "DM Mathematics" }
olve z - 8 = -z for z. 4 Solve 0 = -9*c - 41 + 50 for c. 1 Solve 0 = -11*r - 12 + 1 for r. -1 Solve -4*z = 3*z + 21 for z. -3 Solve 0 = -5*f + 14*f - 18 for f. 2 Solve -5*i = 19 + 1 for i. -4 Solve -12*p + 20 = -2*p for p. 2 Solve 10*f + 18 = -12 for f. -3 Solve -4*n = 6*n - 100 for n. 10 Solve 3*q - 29 = -20 for q. 3 ...
{ "pile_set_name": "DM Mathematics" }
*(-22)/1. Suppose 6 = 2*s, -2*z + s + 1 + 6 = 0. Calculate the least common multiple of z and (i/16)/(2/8). 55 What is the common denominator of (132/64)/((-2)/(-6)) and -29/32? 32 Let k be (4 - 1 - 3) + 4 + 20. Suppose 0 = -11*d + 12*d - k. Calculate the least common multiple of d and 15. 120 Let h be (1*-4)/((-19)/38...
{ "pile_set_name": "DM Mathematics" }
)/3 - d? 34 Let y(k) = -k**3 + 8*k**2 - k + 11. Let a be y(8). Suppose 3*p + 1 = 5*z, 3*z - 7 = -a*p + 4*z. Let x = 0 - -5. What is the remainder when x is divided by p? 2 Let i = -254 + 313. Calculate the remainder when i is divided by 18. 5 Suppose -4 = 6*f - 7*f. Suppose -f*j + d = -2*d - 59, 4*j - 5*d - 53 = 0. Wha...
{ "pile_set_name": "DM Mathematics" }
+ 2328. Calculate -4*a(x) - q(x). -2*x**3 - x**2 + 2*x - 2324 Let h(z) = -2*z**3 + 5*z**2 + 5*z + 5. Let a(b) = -1017*b + 29488. Let k be a(29). Let i(o) = 3*o**3 + 3*o - 5*o**2 - 9*o - o**2 - 6. Determine k*i(j) - 6*h(j). -3*j**3 Let n(t) = -53*t + 30. Let p(x) = -1395*x + 810. What is -55*n(w) + 2*p(w)? 125*w - 30 Le...
{ "pile_set_name": "DM Mathematics" }
= j - -73. Suppose -3*q = -g + 1 + 8, -3*q - 9 = 0. What is the third smallest value in d, g, 0.3? d Let f = -303 - -307.98. Let v = f - -0.02. Let a be 1/(-3) + 1 + -1. What is the second biggest value in v, a, 3/2? 3/2 Let u = 11.97 - 11.87. Which is the smallest value? (a) -4 (b) 42/5 (c) 2/9 (d) u a Let x = 0.2...
{ "pile_set_name": "DM Mathematics" }
- 8 = 0, 5*a + 10 = 2*g for g. 0 Solve -144*a + 3*d = -146*a + 4, -4*d = 2*a - 4 for a. 2 Solve 5*y + 5*c - 20 = 0, -2*c + 2 + 3 = -y for y. 1 Solve -2*k + r + 5 = 3*k, -r + 1 = -2*k for k. 2 Solve -x - 13 = 4*q, 3*q + 4*x - x + 21 = 0 for q. -2 Solve -105*l + 109*l - t = -14, -5*t = 10 for l. -4 Solve h - 3*f - 2 = 3...
{ "pile_set_name": "DM Mathematics" }
w) = -w**3 + 4*w**2 - 1. Let d(s) = -2*s**3 + 9*s**2 - 2. Suppose 5*a - 3 = 4*j - 6, 0 = 5*a - 5. Determine j*d(l) - 5*n(l). l**3 - 2*l**2 + 1 Let u be (12/14)/((-2)/14). Let k(i) = 4*i + 7. Let n(f) = -22 + 2*f - 13*f - f. Let b(m) = -16*k(m) - 5*n(m). Let q(o) = -o - 1. Determine u*q(v) + 2*b(v). -2*v + 2 Let a(m) = ...
{ "pile_set_name": "DM Mathematics" }
the prime factors of 31484450? 2, 5, 629689 List the prime factors of 3054126603. 3, 11, 31, 173, 17257 List the prime factors of 292393876. 2, 73098469 What are the prime factors of 47377406? 2, 79, 299857 List the prime factors of 4779768959. 7, 1223, 558319 What are the prime factors of 700144310? 2, 5, 53, 89, 148...
{ "pile_set_name": "DM Mathematics" }
der when 875506 is divided by 1069? 1064 What is the remainder when 191894 is divided by 4568? 38 Calculate the remainder when 4023 is divided by 1005. 3 What is the remainder when 1536568 is divided by 271? 269 What is the remainder when 3265 is divided by 2107? 1158 What is the remainder when 6784 is divided by 6716?...
{ "pile_set_name": "DM Mathematics" }
th root of 2573834 to the nearest integer? 40 What is the third root of 1141407 to the nearest integer? 105 What is 1474096 to the power of 1/2, to the nearest integer? 1214 What is the seventh root of 16007259 to the nearest integer? 11 What is the cube root of 2366952 to the nearest integer? 133 What is 23961201 to t...
{ "pile_set_name": "DM Mathematics" }
allest value in -1, 337/3, 24? 337/3 Which is the biggest value? (a) -0.1 (b) -621 (c) 5 (d) 0.4 c What is the biggest value in -3.3, 17, -0.4, -2/13? 17 Which is the second smallest value? (a) 2/9 (b) 5 (c) 1.7 (d) -1/13 (e) -0.5 d What is the fourth biggest value in -95, -0.1, -0.3, 0.1? -95 What is the seco...
{ "pile_set_name": "DM Mathematics" }
t n = -93 + 839/9. Let w = -47/559 - 3/43. What is the smallest value in n, w, -3/2? -3/2 Let n = 2528/7 - 362. Which is the fourth smallest value? (a) -1 (b) 0.2 (c) -4/3 (d) n b Let m = -8 + 12. Let z be (-1)/m - (-2 + 2). Let x = -2 + 4. What is the biggest value in x, z, 1? x Let v = 64.94 - 65. What is the big...
{ "pile_set_name": "DM Mathematics" }
b, given that n(b) = 0. -1, 1 Find k, given that 4 - k**3 - 6 - 2*k**2 + 7*k**2 - 8*k + 6 = 0. 1, 2 Let n be (-4664)/(-6160) + (-2)/(-20). Factor -3/7*t + 0 + n*t**5 + 9/7*t**3 + 15/7*t**4 - 3/7*t**2. 3*t*(t + 1)**3*(2*t - 1)/7 Let q(x) be the third derivative of x**8/1176 - x**7/49 + 3*x**6/14 - 9*x**5/7 + 135*x**4/28...
{ "pile_set_name": "DM Mathematics" }
y. Which is the second smallest value? (a) 3 (b) k (c) -4 b Let x = -11 - -17. Suppose 3*f + 0 = -x. What is the smallest value in -2/5, f, 5? f Let k be (9/(-6))/(3/(-8)). Suppose -a + k*a = -9. Let c = -451 - -455. What is the smallest value in c, a, -2/3? a Let a = 677/5 - 136. What is the biggest value in 2/5, ...
{ "pile_set_name": "DM Mathematics" }
**3 - c*p**5 + 8/11*p**4 = 0. What is p? 0, 1 Let y(g) be the first derivative of -2*g**3/15 + 2309*g**2/5 + 924*g + 8901. Solve y(p) = 0 for p. -1, 2310 Let c = 17220 - 17210. Let d(o) be the first derivative of -o**5 + 0*o + 0*o**2 + 0*o**4 + 5/3*o**3 + c. Solve d(r) = 0 for r. -1, 0, 1 Find u, given that 55724504/5*...
{ "pile_set_name": "DM Mathematics" }
-4*w + 0*w - 4*m + 8 = 0, -4*w + a = 3*m. Suppose 3*j = w*j - 267. Is j composite? False Suppose -3*c - 8*c - 11242 = 0. Let g = c - -12521. Is g a prime number? False Let n(d) = -8*d + 63*d**3 - 6 + 1 + 7*d**2 - 3 - 3*d**3. Let s be n(-6). Is (-3)/(180/s) - (-2)/(-15) prime? True Is -2*2 - ((-2)/(-4))/(95/(-1857630)) ...
{ "pile_set_name": "DM Mathematics" }
ters picked without replacement from phhjphh? 4/105 What is prob of sequence gc when two letters picked without replacement from {q: 3, g: 1, j: 2, t: 6, c: 2}? 1/91 What is prob of sequence tt when two letters picked without replacement from {x: 1, v: 2, t: 2, l: 2, i: 1, r: 1}? 1/36 Three letters picked without repla...
{ "pile_set_name": "DM Mathematics" }
ghest common factor of o and f? 14 Let g(x) be the second derivative of -x**5/20 + x**4/2 - x**3/3 - 13*x**2/2 + 93*x. Let m be g(3). Calculate the highest common divisor of 12 and m. 4 Let w = 4965 - 4780. Let l(u) = -u + 148. Let m be l(0). Calculate the highest common divisor of w and m. 37 Let q(f) = -9*f - 25. Let...
{ "pile_set_name": "DM Mathematics" }
llect the terms in -80*y**2 + 23*y**2 + 23*y**2 + 27*y**2. -7*y**2 Collect the terms in 35*h**2 - 24*h**2 - 17*h**2. -6*h**2 Collect the terms in -195*q + 2 - 190*q - 2 + 388*q. 3*q Collect the terms in -3 - 2*k + 9*k - 2*k + 271. 5*k + 268 Collect the terms in 6725*b + 2*b**3 - 4*b**3 - 6725*b. -2*b**3 Collect the ter...
{ "pile_set_name": "DM Mathematics" }