text
stringlengths
270
8.19k
meta
dict
-2*x**2 + 7*x. Let y be g(6). Let b be (24/(-9))/(4/y). Suppose -5*o = -3*w - 122, 2*o - o = 5*w + b. Does 12 divide o? False Let a be (254/2)/(-1 - -2). Suppose 7*w - 2*w = -25, 5*w = -3*j - a. Does 8 divide 3/((-6)/j) - 1? True Let b(v) = -v**3 + 10*v**2 + 10*v + 16. Is b(11) a multiple of 5? True Suppose 5 = -p - 2...
{ "pile_set_name": "DM Mathematics" }
-3, k, 2? 2 Suppose 2*r - 5*l + 8*l + 1 = 0, 5*r - l = 6. Let d = 0.4 - 3.4. What is the nearest to r in d, -0.4, -1/2? -0.4 Let q = -6 - -6.5. What is the nearest to -2 in -5, q, 2? q Let q be 4/(-16) - 2/(-8). Let x = 0.06 + -0.66. Let r = x + -0.4. Which is the nearest to q? (a) 3/7 (b) -5 (c) r a Suppose 0 = -3*...
{ "pile_set_name": "DM Mathematics" }
prime? True Let q(d) = -13*d**3 - d**2 - d - 4. Let x be q(-3). Suppose -995 = -4*j - 4*r + x, -j - 4*r + 334 = 0. Suppose -z = 3*v - 248 - 98, -z = -v - j. Is z composite? False Let g = -2559 - -4464. Suppose -8*t = -11*t + g. Is t a composite number? True Let q(o) = 7*o. Let s be q(1). Suppose -10*i + 9*i = -5. Supp...
{ "pile_set_name": "DM Mathematics" }
than 0.05? 21.05 Calculate -0.2 + 179941. 179940.8 -0.332 - 6 -6.332 Calculate 0.0473 - 246. -245.9527 Calculate 863 + -0.159. 862.841 Work out 11.02 + 0.1. 11.12 2+-1518 -1516 What is the distance between 0.4 and -0.081? 0.481 Calculate 0.0639 + -327. -326.9361 What is 0.27 + -2624? -2623.73 Calculate 432.5 - 2. 430.5...
{ "pile_set_name": "DM Mathematics" }
t is the product of -0.26615 and 8436? -2245.2414 Work out 45429 * 5.98. 271665.42 Work out -13.55939 * 499. -6766.13561 What is -0.622 times 8.8343? -5.4949346 17 * -4090103 -69531751 Multiply -0.2328177 and 0.5. -0.11640885 Work out -3 * 17296107. -51888321 What is the product of -818.6 and 53.74? -43991.564 5.3913 t...
{ "pile_set_name": "DM Mathematics" }
f a microgram? 75 What is 62/7 of a week in hours? 1488 What is 908861.7 millimeters in nanometers? 908861700000 How many millimeters are there in eleven eighths of a meter? 1375 How many minutes are there in three sixteenths of a week? 1890 What is twenty-seven quarters of a meter in centimeters? 675 How many millisec...
{ "pile_set_name": "DM Mathematics" }
? -50 Evaluate (915/16470)/((-2)/30). -5/6 What is the value of 42*(-33)/(-99) - (-29)/1*1? 43 What is (-3)/4 - ((-5501646)/460)/137*(-20)/(-24)? 72 What is the value of 92/6 - (-81)/(4860/40)? 16 Calculate (-683704)/(-20208) + (-15)/18. 33 What is 108 + 45/(60/(-24) - -1)? 78 Calculate (-8349475)/2905920 - (-1)/(-64)....
{ "pile_set_name": "DM Mathematics" }
x - 26. Let o(l) = -8*d(l) - 5*h(l). Let f be o(8). Solve 12 = 5*r - 3*t, 13 = f*r - 3*t + 1 for r. 0 Suppose -15 = -3*g - 2*g. Suppose 2*x - 3 = 3*o, 2*o = 2*x + 4 - 12. Solve -5*v + g = -2*v + w, -2*v - 3*w + x = 0 for v. 0 Let g(p) = -13*p**2 + 12*p**2 + 2*p - 2 - p - 6*p. Let v be g(-4). Solve -m + 4*o = 2*o + 6, 1...
{ "pile_set_name": "DM Mathematics" }
suming i is positive. i**(-1504/801) Simplify (((d*d**2*d)/d)/d**(-1)*d**6/(d**(-1)*d))/((d*d/((d*d/(d/(d**(-2)*d)))/d*d))/d**(-2/11)*d**0*d**(1/9)/d) assuming d is positive. d**(862/99) Simplify (j**(-1))**(-19)*(j/j**1)**(5/7)*(j/j**0*j*j)**(-49)*(j/j**(-2/5))**(-7) assuming j is positive. j**(-689/5) Simplify ((x*x*...
{ "pile_set_name": "DM Mathematics" }
42) Simplify ((v*v**2)/v)**21*(v**(2/3))**(-33/4) assuming v is positive. v**(73/2) Simplify ((j**6*j*j*j*j*j**(-3))/(j*j**(-1))**(2/55))**(7/4) assuming j is positive. j**(49/4) Simplify (f*(f*f**(-3)/f*f*f)/f*f*f*f)**(-4/7)*(f**(-2))**(-7/8) assuming f is positive. f**(17/28) Simplify (t**15*t*t**(2/13)/t)**(-2/47) a...
{ "pile_set_name": "DM Mathematics" }
) + sqrt(117) - -2*sqrt(117)*1)/(((sqrt(81) - (sqrt(81) - sqrt(81)*2))*-5 - sqrt(81) - sqrt(81))/(sqrt(9) + -2*sqrt(1296))). -23*sqrt(13)/6 Simplify ((sqrt(70) + -5*sqrt(70))*3 - sqrt(70)*3*5)/(((sqrt(240)/sqrt(4))/sqrt(3))/(3*-2*sqrt(2))). 162*sqrt(7) Simplify (1 + sqrt(14)/sqrt(2) - sqrt(7) - (2 + sqrt(7))*3)**2 + 2 ...
{ "pile_set_name": "DM Mathematics" }
be ((-1)/(-10))/(3/6). Which is the third smallest value? (a) -5 (b) 6/5 (c) y b Let v = 1 - -13. Which is the smallest value? (a) v (b) -1 (c) 4/3 b Suppose -2*k - 6 = -3*g, -2*k - 15 = 3*k. Suppose -2*x + 2*t + 7 = t, 5*x - 3*t - 17 = 0. Which is the second biggest value? (a) -5 (b) g (c) x b Let l(j) = -j*...
{ "pile_set_name": "DM Mathematics" }
? False Is 167116811 composite? False Is 154252886881 a prime number? False Is 67129793557 a prime number? True Is 814150187 a composite number? False Is 4244291169 prime? False Is 17880870211 composite? False Is 35861813833 a prime number? False Is 957998567 a composite number? False Is 290809606 a prime number? False...
{ "pile_set_name": "DM Mathematics" }
Let f(n) = -n**2 + 2*n. Let b be f(0). Suppose 2*j = -8, -d + 0*d + 5*j = -24. Solve b = 5*a - p - 9, -5*a - d*p - 7 = -p for a. 1 Let w = 13 + 19. Suppose w = x + 9. Let j(f) = -2*f + 22. Let q be j(9). Solve -d = -2*n - 3, q*d = -4*n + n + x for n. 1 Let m = -5 - -3. Let r be 51/12 + m/8. Solve -r*b + b = 2*n - 8, -3...
{ "pile_set_name": "DM Mathematics" }
= 4*u. Is 5 a factor of u? True Suppose 0 = -0*y + 4*y - 132. Let d be 6/(-33) + 105/y. Let r(u) = -u**3 + 3*u**2 + 2*u. Is 3 a factor of r(d)? True Suppose -2*h - 3*b = -7*h - 9, 2*h + 5*b - 15 = 0. Let r be 1 + h + (-3 - -10). Suppose -24 - r = -4*k. Is 7 a factor of k? False Let i = 26 + 58. Is 14 a factor of i? Tru...
{ "pile_set_name": "DM Mathematics" }
is 661 - 0.04? 660.96 Add together 36938 and 0.2. 36938.2 What is -5 minus 55.053? -60.053 What is 3902 + 2? 3904 What is 45185 + 1? 45186 Work out 4 - -1098. 1102 Calculate -0.09 - -0.039. -0.051 Sum 125 and 0.074. 125.074 What is 1312 take away 3? 1309 What is the difference between -2 and 2118? 2120 -24+970.3 946.3...
{ "pile_set_name": "DM Mathematics" }
z + 237 = 0. Is z prime? True Let y(k) = 300*k**2 + 5*k - 4. Is y(1) a prime number? False Let m = -9 - -12. Suppose -178 = -m*j - 40. Is j a prime number? False Let i be 1*((0 - 0) + -4). Let q be 2198/4*108/(-63). Is q/(-30) + i/10 prime? True Suppose -u + 2*u - 5 = 0. Suppose 4*g - 646 = 394. Suppose u*w - g = w. Is...
{ "pile_set_name": "DM Mathematics" }
+ 3*j - 5. Let q be m(2). Sort -8, 4, q in descending order. q, 4, -8 Suppose -3*b + 8*b - 30 = 0. Let z be b/(-4)*12/45. Let q(n) = -n**2 + 8*n - 10. Let i be q(7). Sort z, i, 7 in descending order. 7, z, i Let z = -10826 + 10823. Suppose 5*b = 3*b. Sort z, b, -1, 2 in descending order. 2, b, -1, z Let r = -2.02 - -0....
{ "pile_set_name": "DM Mathematics" }
d) = -d**2 + 15*d - 7. Give u(x). 49 Let y(i) = i**3 - 7*i**2 + 13*i - 4. Let v(u) = -4*u**2 + 2*u + 1. Let k(x) = 3*v(x) + y(x). Calculate k(18). 17 Let h(g) = 21*g - 15. Suppose 7 = 23*q - 24 + 8. Give h(q). 6 Let o = -1375 + 1387. Let a be (-30)/4*(-8)/10. Suppose -o = -a*s + 6. Let w(c) = 4*c + 3. Give w(s). 15 Let...
{ "pile_set_name": "DM Mathematics" }
*z**3 + 4*z Let n(m) = m**2 - 12*m - 6. Suppose -p + 18 = 2*u - 6, -48 = -4*u + p. Let x be n(u). Let a(v) = -v. Let q(j) = 7*j + 1. Determine x*a(i) - q(i). -i - 1 Let d(i) be the first derivative of -i**4/4 - i**2/2 - 3*i + 1. Let y(c) = 1920*c - 3 + 4 - 964*c - 957*c. What is d(m) + 2*y(m)? -m**3 - 3*m - 1 Let u(x) ...
{ "pile_set_name": "DM Mathematics" }
x**3 - 3*x**3 + (2 - 2 + 4*x**2)*(-2*x - 4*x + x) to m*x + l + g*x**2 + w*x**3 and give w. -22 Express (2*h + 4*h - 4*h)*(2*h**3 - 3*h + 3*h) + 41*h**3 - 41*h**3 - h**4 + 12 as a + q*h**3 + c*h**4 + n*h + r*h**2 and give q. 0 Rearrange -l**4 - 177*l + l**3 + 186*l + 3*l**4 - 2*l**3 + 2 to the form r*l**4 + m*l**2 + u*l...
{ "pile_set_name": "DM Mathematics" }
112.1. Is 1 at least k? True Let y = 304 - 182. Suppose -124*u + y*u - 282 = 0. Is -141 less than u? False Let m = 0.038 + -0.268. Let y = -3.022 - -2.922. Which is greater: m or y? y Let i(z) = -z**3 - z + 24. Let r be i(0). Let x be r/108 + 10/(-18). Is 0.05 at most as big as x? False Let w = -1/369 - -5911/2583. Let...
{ "pile_set_name": "DM Mathematics" }
*i**2 + l*i**3 + h + z*i and give s. -1 Express (0*g + g - 15*g + 2)*(4*g - 2*g + g)*(4*g**2 - 3*g**2 - 2*g**2) in the form u*g**2 + n + l*g**3 + a*g**4 + t*g and give l. -6 Express -8 + 3*o + 2 + 7 - o - o**3 - o**4 as r*o**2 + b + h*o**4 + t*o + a*o**3 and give a. -1 Express (8 - 21 + 2*w**3 + 8)*(2 - 5 + 1) in the f...
{ "pile_set_name": "DM Mathematics" }
2/3 (c) 20/391 (d) 1 (e) -2/7 a Which is the closest to -3931? (a) 0.11 (b) 1/6 (c) 3/5 (d) -3 d Which is the nearest to 1? (a) -3 (b) 0.34 (c) -385/6 b What is the closest to -2 in 220/371, -0.02, 0? -0.02 Which is the closest to -2/5? (a) -1/127 (b) -2034.3 (c) 0.4 (d) 0.5 (e) 4 (f) -5 a What is the ...
{ "pile_set_name": "DM Mathematics" }
*2 + 45147*q + 1300. Give m(34). -26 Let r(b) = -9510*b + 142639. What is r(15)? -11 Let d(l) = 47564*l + 523243. What is d(-11)? 39 Let r(c) = -80*c + 502. Calculate r(-11). 1382 Let v(y) = -y**3 - 97*y**2 - 568*y - 45317. Determine v(-96). -5 Let x(g) = 2342*g + 121807. Give x(-52). 23 Let l(k) = -3740*k + 33689. Giv...
{ "pile_set_name": "DM Mathematics" }
many millilitres are there in 0.5426488l? 542.6488 How many micrometers are there in thirteen eighths of a millimeter? 1625 What is one sixth of a year in months? 2 What is twenty-one eighths of a kilogram in grams? 2625 How many minutes are there in 3/5 of a week? 6048 What is 31/2 of a litre in millilitres? 15500 Wh...
{ "pile_set_name": "DM Mathematics" }
e (-9 - -12) + 3 + -11. -5 -5 + 1 + 4 + (-8 - -7) -1 What is -1 - (2 + 0 + 16 + -17)? -2 Evaluate -6 + (-1 - 0 - (-9 - -3)). -1 -2 - (-3 + (4 - 5)) 2 What is the value of (-2 - 2) + (3 - 0) + 4? 3 Evaluate (-3 - (0 + -2)) + -4. -5 -1 + (-6 - -7) + -1 + -1 -2 What is the value of -2 - -4 - (1 + -2 + 1)? 2 What is (-1 - ...
{ "pile_set_name": "DM Mathematics" }
-9*f**3 Let g(p) = 6*p - 7. Let x be -1*(-3)/6*-10. Let w(y) be the second derivative of 7*y**3/6 - 4*y**2 - 3*y. What is x*w(j) + 6*g(j)? j - 2 Let t(l) = -5*l + 4. Let n(a) = -1. Calculate -20*n(i) - 5*t(i). 25*i Let d(c) = 15*c**3 - 9*c**2 - 9*c + 9. Let p(q) = 8*q**3 - 5*q**2 - 5*q + 5. Suppose 4*n + 45 = -n. Calcu...
{ "pile_set_name": "DM Mathematics" }
biggest value? (a) 1 (b) i (c) m b Let n be ((-596)/(-12))/((-2)/6). Let w = n - -599/4. Let y = 13/2 + -7. What is the smallest value in w, y, 1/8? y Let f = -2 - -2.07. Let u = 16 - 15.57. Let t = u + f. Which is the smallest value? (a) -3 (b) -4/3 (c) t a Let v = -9.08 - -0.08. Let z = v + 8.94. Let o = z + -0...
{ "pile_set_name": "DM Mathematics" }
1298. Is t a multiple of 12? False Let w = -123 - -226. Is 92/(-20) - -5 - w/(-5) a multiple of 7? True Let p(m) = -m**2 + 107. Let c = -16 - -16. Does 24 divide p(c)? False Let t be (0 + 1)/1 - -4. Let j be 1 + (-1 - (-35)/7). Suppose j*d - 79 = -2*w, t*w - 2*d - d - 213 = 0. Does 7 divide w? True Let y = 55 - -19. Is...
{ "pile_set_name": "DM Mathematics" }
506 - -515. Calculate the greatest common factor of p and 2. 1 Suppose -2*h - 3*o + 84 = 0, -3*h - 4*o = -148 + 24. What is the highest common divisor of h and 228? 12 Let f = -379 + 787. Calculate the greatest common divisor of f and 255. 51 Suppose 5*b - 5*i - 205 = 0, -198 = 27*b - 32*b - 2*i. What is the greatest c...
{ "pile_set_name": "DM Mathematics" }
et g(s) = -12*s + 11*s - 2 - 1 - 3. Let r be g(-10). Let f be 2/8 - 34/40. Which is bigger: f or r? r Let c be (33/(-15) + 1)/((-1)/10). Let t be 40/(-3)*c/(-5). Which is smaller: 34 or t? t Let c = 10 - 8. Suppose -3*f = -d + c, 3*d + 8 = d. Let g be ((-30)/(-27))/5 + 22/(-18). Which is greater: g or f? g Let r(l) = -...
{ "pile_set_name": "DM Mathematics" }
e common denominator of -149/148357110 and 71/94409070? 1038499770 Calculate the common denominator of -34/125 and 42/1738105. 43452625 What is the common denominator of 7/18889566 and 73/963? 56668698 Find the common denominator of -43/702800 and -79/6606320. 33031600 What is the least common multiple of 7145880 and 2...
{ "pile_set_name": "DM Mathematics" }
or u. 5 Suppose -56 = 30*w - 58*w. Solve 11 = -w*i + 15 for i. 2 Let j = 4247 + -4242. Solve 8*t - 7*t = -j for t. -5 Suppose -2*a + 4 + 28 = 0. Let d = -16 + a. Suppose 3*y = -d*y - 2*y. Solve -3*x + 4*x + 1 = y for x. -1 Suppose 3*y = 12*s - 16*s + 362, -s + 83 = -3*y. Solve -91*o = -s*o - 2 for o. 1 Suppose 2*x = 2*...
{ "pile_set_name": "DM Mathematics" }
ue of ((-25)/(-10))/(295/118)? 1 What is the value of ((-9)/(-36) - 9/(-2)) + -51 + 45? -5/4 Calculate (-5115)/(-3906) + 2/24 + (-1)/4. 8/7 Evaluate (-420196)/(-166152) - 5/2. 2/69 What is the value of (-560)/840 + (-10)/(-105)? -4/7 Evaluate -1*(7 + ((-7)/(-11))/(30/330)). -14 Evaluate (-429)/4026*116/377. -2/61 126/4...
{ "pile_set_name": "DM Mathematics" }
pose 0 = 2*l - 5*m - s - 11, 6 = l - 3*m. What is the units digit of l? 6 Suppose 0*q - 4*q = 5*s - 665, 5*q - 847 = -s. What is the tens digit of q? 7 Suppose 22 = 5*w - 3*d, 3*d + 8 = d. Let l = w - 0. Suppose -h - 17 = -l*h. What is the units digit of h? 7 Let w(h) = h**3 + 6*h**2 - 4. Let u be w(-6). Let v(j) = 0*j...
{ "pile_set_name": "DM Mathematics" }
or p. -1 Let y be 1/(-6)*(-1 - 1)*15. Let m(k) = -k**3 + 9*k**2. Let s be m(9). Suppose -r - 3*r - 3*v + 40 = s, 0 = -2*r - v + 20. Solve 10*a + r = y*a for a. -2 Suppose 5*x - 131 = -2*q, -x + 62 = x + 4*q. Solve -30*z = -x*z for z. 0 Suppose -10 = -5*c, 4*k - 116*c - 56 = -118*c. Solve -6*x - 5 = k for x. -3 Let i be...
{ "pile_set_name": "DM Mathematics" }
-3246. List the prime factors of k. 29, 83 Suppose -3*t = 3*i + 21, -5*t = -3*i - 0*i + 27. Let k(v) = v**3 + 7*v**2 + 5*v - 5. Let b be k(t). Let s(q) = 7*q**2 - 2*q + 2. List the prime factors of s(b). 7 Let f be (-20)/4*(2 - 1). Let n(u) = -2*u**2 - 17*u + 5. Let b(c) = c**2 + 17*c - 5. Let r(o) = -5*b(o) - 6*n(o)....
{ "pile_set_name": "DM Mathematics" }
a composite number? True Let h(c) = c**2 - c - 4. Suppose -3*b = -6*b + 9. Let m be h(b). Suppose m*l + 2*q = 93 + 9, -4*l - 5*q = -202. Is l a composite number? False Let k = -5 + -111. Is (-1)/(-2 + k/(-60)) a composite number? True Let l = -7061 + 10360. Is l prime? True Suppose -w + 0*t - 17 = -4*t, -5*w + t = -10....
{ "pile_set_name": "DM Mathematics" }
the prime factors of 261? 3, 29 What are the prime factors of 13485? 3, 5, 29, 31 List the prime factors of 27548. 2, 71, 97 What are the prime factors of 1341? 3, 149 What are the prime factors of 34365? 3, 5, 29, 79 List the prime factors of 4315. 5, 863 List the prime factors of 1561. 7, 223 List the prime factors ...
{ "pile_set_name": "DM Mathematics" }
g = 5 + -1. Suppose -g*d + 50 - 14 = 0. What is the smallest common multiple of d and 11? 99 Let a = -2/4001 + 52045/64016. Find the common denominator of a and -79/20. 80 Calculate the lowest common multiple of 16 and 21/(-7) - (-38)/2. 16 Let s = -2900 + 58073/20. Let x = 349/2 - 1205/7. Find the common denominator ...
{ "pile_set_name": "DM Mathematics" }
, 1, -24, 39 in ascending order. -528, -24, 1, 2, 39 Sort 59, 0, 4, 5, -391, -6 in ascending order. -391, -6, 0, 4, 5, 59 Sort -12, -3, 27, -1, -118, 46, -11. -118, -12, -11, -3, -1, 27, 46 Put -51/11, 1/3, 40 in ascending order. -51/11, 1/3, 40 Put -11, 5, -1, 4, 2583 in descending order. 2583, 5, 4, -1, -11 Put -7, -...
{ "pile_set_name": "DM Mathematics" }
4). 2 Suppose x - 3*f = -8*f + 17, 0 = -x - 2*f + 8. Suppose 2*i - 8 = x. What are the prime factors of i? 5 Let m = -30 + 60. Suppose -5*c + m = -5. What are the prime factors of c? 7 Let f be 3*(0 - 4/(-3)). Suppose 5*r - 7 - 12 = -f*v, 5*v - 65 = 2*r. List the prime factors of v + (-3 - -2*1). 2, 5 Let g be 57/12 + ...
{ "pile_set_name": "DM Mathematics" }
rivative of 2*v**3*z**2 - 14*v**3*z - 5002*v**3 + v**2*z**2 - 3*v*z**2 + 2*v*z + 12768*z**2 wrt z. 4*v**3 + 2*v**2 - 6*v + 25536 Differentiate -1227*h**4 + 79*h**2 - 2*h + 1582447 with respect to h. -4908*h**3 + 158*h - 2 Find the third derivative of 6795*u*w**5 + 2799*u*w**2 + 2*w**6 - 3*w**2 wrt w. 407700*u*w**2 + 24...
{ "pile_set_name": "DM Mathematics" }
our letters picked without replacement from {e: 2, h: 2, c: 3, m: 2}. 1/252 Two letters picked without replacement from {a: 2, y: 1, m: 2, t: 4, l: 3}. Give prob of sequence tm. 2/33 Calculate prob of sequence gc when two letters picked without replacement from gceon. 1/20 Two letters picked without replacement from {e...
{ "pile_set_name": "DM Mathematics" }
plify (5*sqrt(800)*5 - sqrt(800))/(sqrt(1210) + -5*sqrt(1210)*-4 - sqrt(1210) - sqrt(1210)) + 5. 96*sqrt(5)/209 + 5 Simplify -1*(1 + 3 + -2*-1*sqrt(425)) + -1 + 3. -10*sqrt(17) - 2 Simplify (-1*-3*sqrt(68) - sqrt(68))/((sqrt(400) - -2*sqrt(400)) + sqrt(400)) + -1*(0 + sqrt(272) + 4)*-1. 4 + 81*sqrt(17)/20 Simplify ((5*...
{ "pile_set_name": "DM Mathematics" }
st ten. 50 What is 1.312512 rounded to 1 decimal place? 1.3 What is 0.000177832 rounded to 6 dps? 0.000178 Round -55310930 to the nearest one hundred thousand. -55300000 What is 5.576678 rounded to two decimal places? 5.58 What is -123324000 rounded to the nearest 1000000? -123000000 What is -0.10802683 rounded to 1 dp...
{ "pile_set_name": "DM Mathematics" }
the units digit of f? 2 Suppose 0 = -0*i + 2*i. Suppose -17 = -y - 3*d, i*d = y - 5*d + 23. What is the units digit of y? 2 Let t be 1*(2 - -2) - -2. Suppose w - n - t = -0*n, -2*n + 33 = 3*w. What is the units digit of w? 9 Let s(x) = -13*x - 2. Let l be s(-1). What is the units digit of l/33 + (-86)/(-3)? 9 Suppose ...
{ "pile_set_name": "DM Mathematics" }
- 4*g = 27. Let f(m) = -7*m**2 + 9*m + 5. Let s(v) = -3*v**2 + 4*v + 2. Calculate q*s(h) + 2*f(h). h**2 - 2*h Let z(o) = -4*o**3 + 5*o**2 + 3*o. Let n(x) = -3329*x**3 - 2 + 2 - 6*x**2 + 3*x + 3334*x**3 - 6*x. Calculate -5*n(h) - 6*z(h). -h**3 - 3*h Suppose -k - y = -2*y - 12, 0 = 5*k + 2*y - 46. Let v(z) = z**2 + z. L...
{ "pile_set_name": "DM Mathematics" }
29. Solve 0 = -4*j - 3*x + 2*x + k, j - 5*x = -15 for j. 5 Let n be -10*(1 - 2)*(-7)/(-14). Suppose 0*m + 4*i = n*m - 537, 0 = 4*i - 8. Let l = m + -107. Solve 4*a + 4 = -p, -5*a - l*p - 5 = -6*p for a. -1 Suppose -3*m + 35 = -4*d, 129 = d + 134. Solve -4*u + 82*j = 78*j - 24, 0 = -m*u - 5*j - 10 for u. 2 Suppose -12*r...
{ "pile_set_name": "DM Mathematics" }
usands digit of 116693? 1 What is the thousands digit of 9452016? 2 What is the units digit of 271561? 1 What is the ten thousands digit of 169816? 6 What is the millions digit of 2102751? 2 What is the ten thousands digit of 5902431? 0 What is the thousands digit of 272389? 2 What is the units digit of 448224? 4 What ...
{ "pile_set_name": "DM Mathematics" }
1 - 1637602*m/11 = 0. Calculate m. 0, 818801 Let -2*f**4 + 4454*f**3 + 53792*f**2 - 125384*f = 0. Calculate f. -14, 0, 2, 2239 Factor l**2 - 1080*l + 38591. (l - 1043)*(l - 37) Find x, given that -x**5/2 + 1595*x**4/2 - 197589*x**3/2 + 8589121*x**2/2 - 66399439*x + 116398248 = 0. 2, 43, 1464 Solve 2*x**5/5 - 7596*x**4/...
{ "pile_set_name": "DM Mathematics" }
cimal places. 0.6 What is 0.00002862764 rounded to six decimal places? 0.000029 Round 0.960042 to three decimal places. 0.96 What is -0.009111095 rounded to four dps? -0.0091 What is -0.00011407305 rounded to 6 decimal places? -0.000114 What is 1321110 rounded to the nearest one thousand? 1321000 What is -0.00000045910...
{ "pile_set_name": "DM Mathematics" }
nd h. 11 Suppose 5*p + a - 550 = 0, -2*p - 2*a - 2*a + 220 = 0. Calculate the greatest common divisor of 33 and p. 11 Suppose -2*s + r = -11, 0 = -s + 3*r + 4 + 4. Suppose 3*y = 29 + 31. What is the highest common divisor of s and y? 5 Suppose 13 = x + 2*x - k, -5*x + k + 19 = 0. Suppose 0 = -5*w + 57 + x. What is the ...
{ "pile_set_name": "DM Mathematics" }
decimal place? -0.8 Let f = 56.0308 + -56. Round f to 2 dps. 0.03 Let d = -4342062 + 4342062.1862681. Let h = 1.1137323 + d. Let n = 1.3 - h. What is n rounded to 6 dps? 0 Let h = 1054 + -1053.99998679. Round h to 6 dps. 0.000013 Let t = -27.8 - 0.2. Let o = -28.56 - t. Let r = o + 0.55999977. What is r rounded to 7 dp...
{ "pile_set_name": "DM Mathematics" }
the common denominator of (-9)/(-162)*369/6 and 125/12. 12 What is the common denominator of (-435)/24*12/10 and 25/4? 4 Let d be (9/(-6))/(3/(-6)). Suppose 2*x + 12 = b, -3*b + d*x + 10 + 11 = 0. Let v = -1 + 11. Calculate the smallest common multiple of v and b. 10 Let k = -219809 + 889273/4. Suppose 0 = -w - 8*w - ...
{ "pile_set_name": "DM Mathematics" }
= j + -18. Suppose -l = -1 + 4. Sort l, o, 9 in ascending order. l, o, 9 Suppose 28 = 2*p - 9*p. Let h be (p + (-80)/(-15))*(1 + 2). Let x be 0 - (-1 - 0)*-2. Put 1, -3, h, x in ascending order. -3, x, 1, h Let k = -518 - -519. Sort k, 4, -5, 2 in increasing order. -5, k, 2, 4 Let c = 3489.94 - 3490. Put -0.44, -4, c, ...
{ "pile_set_name": "DM Mathematics" }
Let h = 486 - 485. Solve 7*a = 8 - h for a. 1 Let o = 41 + -38. Suppose -o*z = 3*g - 12, 0 = -2*z + 3 - 1. Suppose 4*q = -f + 8, -4*f = q + f - 21. Solve -2*t - g = q for t. -2 Suppose 1 = -4*t - 0*c + c, -5*t - 2*c = -2. Let b = -103 + 103. Suppose -7*r = -3*r - b*r. Solve t*g - 2*g = r for g. 0 Suppose -3*z = 3*x - 1...
{ "pile_set_name": "DM Mathematics" }
uence xe. 3/68 Four letters picked without replacement from {a: 1, w: 1, y: 1, m: 1, q: 1}. Give prob of sequence yyqy. 0 Calculate prob of sequence cbc when three letters picked without replacement from rrrrerreeerbcceee. 1/2040 Calculate prob of sequence mh when two letters picked without replacement from {m: 3, h: 5...
{ "pile_set_name": "DM Mathematics" }
1 + (5 - 4)) a prime number? False Let n be 2/(-8) - 1118/8. Let t = -71 - n. Suppose u - 4*u + t = 0. Is u a prime number? True Let q(y) = y**2 - y - 4. Let v(u) = 3*u**3. Let w be v(1). Let p be q(w). Is ((-2)/(-2))/(p/70) composite? True Let b(t) = -t**2 + 9*t - 11. Let u be b(9). Let s = -7 - u. Suppose -103 + 19 =...
{ "pile_set_name": "DM Mathematics" }
-7 + 0 + -63. -56 What is the value of (14 - 1 - (50 - -16)) + 1? -52 Evaluate -5 + 3 + (-1 - (22 - 0)). -25 Calculate 64 + -63 + 16 - (5 + -7 + 87). -68 Calculate 23 - (-13 - (-3 - 12)) - 43. -22 What is the value of ((2 - (-14 + 9)) + -18 - (-25 + 3)) + 38? 49 (-102 - -141) + 8 + -15 + -9 23 Evaluate -4 + -77 - -16 ...
{ "pile_set_name": "DM Mathematics" }
-5*x - r = 5*s for s. -3 Suppose 2*x - r - 6 = -2*r, 0 = -5*x + r + 22. Solve -2*t = -3*c + 16, x*t + 10 = -9*c + 4*c for c. 2 Suppose -5*k = -3*n - 3*k + 40, 3*k + 35 = 2*n. Solve -2*u = m + 5, 7*m - 5*u + n = 2*m for m. -3 Let z = -9 + 17. Solve 4*x = k + 3*k + z, -x + 4*k + 8 = 0 for x. 0 Let u be 0/2*(-2)/(-4). Su...
{ "pile_set_name": "DM Mathematics" }
2, 664, 816? w**3 + 2*w**2 - w + 382 What is the v'th term of -1682, -3359, -5034, -6707, -8378, -10047? v**2 - 1680*v - 3 What is the d'th term of 75, 90, 105, 114, 111, 90, 45, -30? -d**3 + 6*d**2 + 4*d + 66 What is the u'th term of 112, 104, 74, 10, -100, -268? -2*u**3 + u**2 + 3*u + 110 What is the b'th term of -12...
{ "pile_set_name": "DM Mathematics" }
11*g - 73*g. Let b = -0.06 + -2.94. Let j = b - -4. What is the smallest value in g, 3/7, j? g Let h be ((-2)/(-6))/(-7 - 742/(-105)). Let l = -0.078 - -1.078. Which is the third biggest value? (a) -0.3 (b) 3 (c) l (d) h c Let o = -0.36 - -0.06. Let t = -0.248 - -0.448. Which is the fourth smallest value? (a) 2 ...
{ "pile_set_name": "DM Mathematics" }
- 2*o. 2*o*(o - 3)**2*(o - 1)/9 Factor -2*o**5 + 2*o**4 + 6*o**3 - 10*o**2 + 4*o. -2*o*(o - 1)**3*(o + 2) Solve 5*b**2 + 1100*b = 0. -220, 0 Let -6*s**4 - 21*s**3 - 18*s**2 = 0. What is s? -2, -3/2, 0 Factor -2*z**4/9 + 124*z**3/9 + 130*z**2/3. -2*z**2*(z - 65)*(z + 3)/9 Factor -2*t**3/7 - 3950*t**2/7 - 278898*t - 2783...
{ "pile_set_name": "DM Mathematics" }
38 Calculate prob of sequence nnn when three letters picked without replacement from aaaaaannanannnnannn. 40/323 What is prob of sequence ttt when three letters picked without replacement from ttttt? 1 Two letters picked without replacement from lazzlzzlal. Give prob of sequence za. 4/45 Calculate prob of sequence fz w...
{ "pile_set_name": "DM Mathematics" }
be 3/(-4) - (-22)/p. Suppose -k*r - 3*s + 11 = -134, -4*r + 2*s = -298. Is r prime? False Suppose 3*q - 231 = 261. Suppose m - 5*s - q = 0, -5*s + 283 = 6*m - 4*m. Is m composite? False Let j be -107 - -2 - (2 - 0). Let w = j + 226. Is w composite? True Suppose -t + 2391 = 4*d, -4*d + 5*t + 3359 = 986. Is d a composit...
{ "pile_set_name": "DM Mathematics" }
1 -0.31165401 Work out 4912197 + 3. 4912200 3185 - -24582 27767 Sum 1 and 56487.92. 56488.92 Add 136481 and 130929. 267410 0.23932258 + -5 -4.76067742 Total of -0.06916747 and 94. 93.93083253 7087.6+-0.009 7087.591 What is the distance between 2.91 and -8959.9934? 8962.9034 Add together -0.18 and 83663766. 83663765.82 ...
{ "pile_set_name": "DM Mathematics" }
. 1.0658 Product of 0.02 and -65.1. -1.302 2100.1 times 15 31501.5 -14*-13.1957 184.7398 0.2 times 1371 274.2 -3 * 153.38 -460.14 -232 * -0.135 31.32 Product of 0.3 and 288377. 86513.1 Work out -1372 * -20. 27440 Product of -0.4 and -3.6369. 1.45476 What is 2 times -0.123484? -0.246968 4.1*103.9 425.99 Calculate 1.153*...
{ "pile_set_name": "DM Mathematics" }
9*m = 10*m - 2 for m. 2 Solve 8*z = 23*z - 60 for z. 4 Solve -24*h + 27 - 51 = 0 for h. -1 Solve 14*b - 29*b = -90 for b. 6 Solve -47*l + 18 = -50*l for l. -6 Solve -1 - 8 = 3*m for m. -3 Solve -15 = -128*n + 125*n for n. 5 Solve 0 = -11*t - 2 - 20 for t. -2 Solve 24*z + 24 = 12*z for z. -2 Solve 88 - 44 = -11*x for x....
{ "pile_set_name": "DM Mathematics" }
128.3 - 128. Which is the third biggest value? (a) p (b) 2/3 (c) -7 c Let h be (-5)/3 + ((-6)/14 - (-46)/42). Let j = 2913/11 + -265. Which is the fourth biggest value? (a) -2/15 (b) h (c) 0.4 (d) j b Let k = -129 + 122. What is the third smallest value in -5, k, 1/8? 1/8 Let h = -3/185 - -191/370. What is the s...
{ "pile_set_name": "DM Mathematics" }
*2 - 2650*n**2 + 430*n**2. -13*n**2 Collect the terms in -37*w + 46*w + 3*w**2 - 33*w**2 - 6 - 87*w**3 + 2. -87*w**3 - 30*w**2 + 9*w - 4 Collect the terms in 77600*s - 25734*s - 25738*s - 26124*s. 4*s Collect the terms in -19*o + 157 + 25548*o**2 - 2*o - 25561*o**2 - 20*o - 157. -13*o**2 - 41*o Collect the terms in -22...
{ "pile_set_name": "DM Mathematics" }
1, -4588? -847*a - 353 What is the w'th term of 132883, 265759, 398635, 531511? 132876*w + 7 What is the j'th term of 2055, 4138, 6221, 8304? 2083*j - 28 What is the w'th term of -12801, -51247, -115319, -205011, -320317, -461231? w**3 - 12819*w**2 + 4*w + 13 What is the z'th term of -1729, -1730, -1723, -1702, -1661, ...
{ "pile_set_name": "DM Mathematics" }
ird derivative of 1/8*v**4 + 0*v**3 + 0*v + q*v**2 + 0. Calculate x(u(b)). -3*b Let w(o) = 3*o - 2*o + 6*o. Let v(a) = -6*a + a + 10*a - 2*a. Give v(w(c)). 21*c Let z(c) = 156*c. Let i(d) = 5*d. Determine i(z(u)). 780*u Let f(l) = -7*l. Let g(x) = 9*x**2 - 7*x + 7. Let h(t) = -5*t**2 + 4*t - 4. Let y(v) = 4*g(v) + 7*h(...
{ "pile_set_name": "DM Mathematics" }
nder when 13007 is divided by 250. 7 Calculate the remainder when 5942 is divided by 136. 94 Calculate the remainder when 1780 is divided by 418. 108 Calculate the remainder when 8067 is divided by 207. 201 What is the remainder when 18 is divided by 4? 2 What is the remainder when 7519238 is divided by 1279? 1276 Calc...
{ "pile_set_name": "DM Mathematics" }
What is the nearest to 1 in -42, -15.5, -0.3, 1? 1 What is the nearest to 0.2 in 2, -1, -96? -1 Which is the nearest to 0? (a) -0.06641 (b) 0 (c) 0.5 (d) -3 b What is the nearest to 3.6 in 0.3, -10, 22? 0.3 What is the closest to 1/2 in -19, -2/5, 0.04, -5? 0.04 Which is the closest to 2/3? (a) 2 (b) 1/9 (c) -1...
{ "pile_set_name": "DM Mathematics" }
fferentiate m(d) with respect to d. -3723*d**2 What is the third derivative of 30 - 310*b**4 - 28*b**2 - 5 + 252*b**4 + 21*b**2 - 1330*b**4 wrt b? -33312*b Suppose -4*s - t + 12 = 0, -7*s + 10*s - 9 = -3*t. What is the second derivative of -27*p**5 - 4 - 1 - 5 - 3*p**2 - 82*p + 79*p - s*p**5 wrt p? -600*p**3 - 6 Let t ...
{ "pile_set_name": "DM Mathematics" }
at is the hundreds digit of b(-10)? 1 Suppose -2*r - 14 = -f - 7*r, 50 = 2*f - r. What is the units digit of f? 4 Let z(r) = -18*r**3 + 6*r**2 + 7*r + 6. Let v(i) = -i**2 - i - 1. Let a(u) = 5*v(u) + z(u). Let f be a(-1). What is the tens digit of (-10)/45 - (-328)/f? 1 Let v = -56 + 61. Let x(p) = 6*p**3 + 5*p - 4. Le...
{ "pile_set_name": "DM Mathematics" }
a9? 10061 In base 5, what is 20020223 - -1040? 20021313 In base 10, what is -1 - -136687264? 136687263 In base 15, what is -175a - 4844? -609e In base 8, what is -2 - -16426217? 16426215 In base 11, what is 1224 + -20398? -1a174 In base 16, what is 5e88278 + 4? 5e8827c In base 5, what is -200 + 422010400? 422010200 In ...
{ "pile_set_name": "DM Mathematics" }
6*t. Let o = -2 + 9. Suppose s = o*s - t. Is s prime? False Let k(o) = -3462*o + 23. Is k(-8) a prime number? False Let x = -2243 + 3336. Suppose -2*s + x + 69 = 0. Is s composite? True Let g = 108481 - 61230. Is g composite? False Let t(r) = -4*r**3 - 20*r**2 + 2*r + 35. Is t(-18) prime? False Suppose k + 5*m + 22 = ...
{ "pile_set_name": "DM Mathematics" }
. What is the remainder when t is divided by 35? 34 Suppose 0 = -6*f + q + 1107, -1331*f + 1336*f - 940 = 2*q. Calculate the remainder when f is divided by (-1)/((-2)/190) + 1. 86 Let u = 13866 + -13818. What is the remainder when 2780 is divided by u? 44 Suppose -92*d = -101*d + 1260. Calculate the remainder when 276 ...
{ "pile_set_name": "DM Mathematics" }
- u**2 + 6*u + 4100 What is the d'th term of 132, 555, 1254, 2217, 3432, 4887, 6570, 8469? -2*d**3 + 150*d**2 - 13*d - 3 What is the m'th term of -11116, -22207, -33298, -44389, -55480, -66571? -11091*m - 25 What is the s'th term of 49166, 49116, 49066, 49016, 48966, 48916? -50*s + 49216 What is the j'th term of -140, ...
{ "pile_set_name": "DM Mathematics" }
*f**2*l - 739*b*f - 86*b*l wrt f. -4*b**3 - 53283656*b*l Find the third derivative of 1041488*j**5 - 2970008*j**2. 62489280*j**2 What is the second derivative of -33236*c**2*o**2 + 35606*c**2*o - 212*c*o**2 - 16*c*o wrt o? -66472*c**2 - 424*c Find the third derivative of 3*d**3*p**4 - 63*d**3*p**2 - 8*d**3*p + 4*d**3 +...
{ "pile_set_name": "DM Mathematics" }
9860? 9 What is the units digit of 1930906? 6 What is the tens digit of 3297338? 3 What is the hundred thousands digit of 1263428? 2 What is the ten thousands digit of 2478467? 7 What is the hundred thousands digit of 8416767? 4 What is the millions digit of 10046995? 0 What is the ten thousands digit of 294159? 9 What...
{ "pile_set_name": "DM Mathematics" }
-5*o - 1. Let i = -3 - h. Solve 5 = -i*t + 5*u, 5*t + 0 = 3*u - 1 for t. 1 Suppose 4*f - 5*y = -29, 3*f - 2*f - y = -6. Let a = f + 5. Solve -10 = 2*x - 3*m - m, -3*x + 5 = a*m for x. -1 Suppose 6 - 4 = d. Suppose -r = -5*j - 18 - 10, 0 = -5*j - 25. Solve d*q + 7 = r*k, 0*k + 5*k - 25 = 0 for q. 4 Let q = 21 - -16. Le...
{ "pile_set_name": "DM Mathematics" }
e the prime factors of 41*(5 - 24/z)? 41 Let h = -6616 - -24304. List the prime factors of h. 2, 3, 11, 67 Let p(l) = -l**3 - 10*l**2 - 6*l + 11. Let a = 5 + -17. List the prime factors of p(a). 7, 53 Let t = -131 + 129. List the prime factors of t + (754/(-1))/(-2). 3, 5 Let p(t) = -t**3 + 8*t**2 - 7*t + 2. Let q be p...
{ "pile_set_name": "DM Mathematics" }
- 5/2*h**4 + 0. -h**2*(h + 1)*(5*h - 1)/2 Suppose -21*d + 70522 = 70459. Let 8/15 + 2/3*c**2 - 2/15*c**d - 16/15*c = 0. What is c? 1, 2 Let l = 8 + -3. Suppose 8*f = 3*f + l. Let -3*u**2 - u**2 - f + 5*u**2 - 2*u**2 - 2*u = 0. What is u? -1 Let y be (3 - 86/6)/((-2)/(-18)). Let j = y - -104. Factor -1/2*f + 5/2*f**3 - ...
{ "pile_set_name": "DM Mathematics" }
places? -0.000009 Let g be 66164564/10 + 2/(-5) - -3. Suppose -w + g = -14183541. Round w to the nearest 1000000. 21000000 Let o = 421.000347 + -421. What is o rounded to 4 decimal places? 0.0003 Let d = -67156 + 34556. What is d rounded to the nearest ten thousand? -30000 Let w = -1379 - -1378.999996223. What is w ro...
{ "pile_set_name": "DM Mathematics" }
(57061/210) Simplify f/((f*(f*f**(2/15))/f)/f)*f**12*(f*f**3)**(-6) assuming f is positive. f**(-167/15) Simplify (d*d**(-4/7)*d/((d*d**(-3/11))/d))/(d*(d**(-24)/d)/d*d/(d/(d*d**(-1/40)))) assuming d is positive. d**(79237/3080) Simplify (u**(-1/10)*u*u**(-33)/u)**(10/11) assuming u is positive. u**(-331/11) Simplify (...
{ "pile_set_name": "DM Mathematics" }
2 Let k(f) = 9*f**4 - 5*f**2 - 5*f - 5. Let u(z) = -3*z. Let o be u(4). Let x(r) = 22*r**4 - 12*r**2 - 12*r - 12. Let i(n) = o*k(n) + 5*x(n). Factor i(h). 2*h**4 Let d = 7877/10412 + -17/2603. Factor -d*f**2 - 33/4 + 9*f. -3*(f - 11)*(f - 1)/4 Determine n so that -140/9*n**3 + 226/9*n**2 - 44/9*n - 5 + 1/3*n**4 = 0. -1...
{ "pile_set_name": "DM Mathematics" }
u(5). Is h equal to a? False Let k = 171 - 159. Suppose f + 25 = 2*s + 2*f, s = 2*f. Let a = k - s. Which is smaller: 3 or a? a Let q = 6612.634 - 6.634. Is -2/5 not equal to q? True Let m = -102415/136 - -4916/17. Is -464 at most as big as m? True Let b = -520319 + 520321. Let u be (-6)/(-4)*(-2)/(-1). Is u at least a...
{ "pile_set_name": "DM Mathematics" }
pose -d*n = 3*f - 12 - 24, 4*n = -2*f + 28. Suppose -9*k - 35 = -f*k. List the prime factors of k. 5, 7 Let v(h) = 3 + 2*h**2 + 0*h - 8 - h. Let y = 123 + -127. List the prime factors of v(y). 31 Let y(k) = 61*k**2 - 13*k + 5. What are the prime factors of y(-6)? 43, 53 Let m(t) = -6*t - 27. Let z be (-4)/2*(-7 + 14). ...
{ "pile_set_name": "DM Mathematics" }
ided by -507? -17952 What is -2 divided by -97887485? 2/97887485 Divide 162535720 by -4594. -35380 -13830102 divided by -48357 286 55510400 divided by 8300 6688 Divide -7684040 by 4. -1921010 -6599736 divided by 52 -126918 Calculate 5 divided by 11528768. 5/11528768 What is 1059396 divided by 81492? 13 Divide 95 by 180...
{ "pile_set_name": "DM Mathematics" }
11 = 26. Calculate the remainder when f is divided by s. 10 Suppose 174*x - 24 = 151*x - 1. What is the remainder when 352 is divided by x? 0 Let q = 39 - 18. Let r(n) = n**3 + 24*n**2 - 129*n - 37. What is the remainder when r(6) is divided by q? 17 Suppose 0*w - 840 = -4*w. Let x(f) = f**3 - 13*f**2 - 87*f - 34. What...
{ "pile_set_name": "DM Mathematics" }
1/4. Let g = s - x. Sort 1, g, 5 in decreasing order. 5, 1, g Suppose 35*u - 28 = 42*u. Sort 3, -5, 7, u in decreasing order. 7, 3, u, -5 Let r(i) = -2*i + 14. Let u be r(6). Sort u, -2/3, 0, -7. -7, -2/3, 0, u Let y be 4*(-2 - 15/(-6)). Let r = y - -1. Let g = -7 + r. Sort 4, g, 0 in increasing order. g, 0, 4 Let m(s)...
{ "pile_set_name": "DM Mathematics" }
177, -237, -327, -453? -h**3 + h - 117 What is the l'th term of 3, 6, 11, 18, 27? l**2 + 2 What is the c'th term of 72, 118, 154, 174, 172, 142? -c**3 + c**2 + 50*c + 22 What is the z'th term of 1325, 1320, 1315, 1310? -5*z + 1330 What is the s'th term of 304, 456, 608? 152*s + 152 What is the d'th term of 95, 206, 403...
{ "pile_set_name": "DM Mathematics" }
+ sqrt(133) + sqrt(133)) - sqrt(133)*1*-4)/(sqrt(7) + sqrt(441)/sqrt(7) + -2*sqrt(112)). sqrt(19)/2 Simplify (sqrt(2736)*-3 + sqrt(2736) + -2 - sqrt(2736) - (-4*sqrt(2736) + 0))**2 + 4. -48*sqrt(19) + 2744 Simplify ((2*sqrt(6000) + sqrt(6000))/(sqrt(240)/sqrt(5) + sqrt(12)))**2. 500 Simplify (0 + (-1*(0 + sqrt(2299)) ...
{ "pile_set_name": "DM Mathematics" }
number? True Is 1900153 composite? False Is 838 a prime number? False Is 21313 a composite number? False Is 301447 composite? False Is 2227 prime? False Is 120421 prime? False Is 8997 composite? True Is 4043 prime? False Is 1552583 prime? True Is 271367 a composite number? False Is 1245758 a prime number? False Is 4055...
{ "pile_set_name": "DM Mathematics" }
4*w**3 + (64 + 19 - 7)*(-54 + w + 54)*(-5*w + 3*w**2 + 5*w) in the form r*w**3 + v*w + c*w**2 + z and give r. 232 Rearrange -11*i**4 - 2*i**3 + 2*i**4 + 139 + 32*i**2 - 31*i**2 + i - i**4 - 138 to the form v*i + g*i**2 + t*i**4 + n*i**3 + w and give v. 1 Rearrange 0*i**2 + 5845 - 5842 + i**3 - 10*i + 2*i**2 - 3*i**2 t...
{ "pile_set_name": "DM Mathematics" }
uppose -96*i - 45700344 - 5801016 = -336*i. Is i prime? True Let h = -6173 - -10944. Is h a composite number? True Suppose -139 = -3*r - 121. Is 20/r*1596/56 composite? True Suppose 2*q - 13*q = -33. Suppose 0 = 3*j - 5*a - 3193, -2*j - a = -q*a - 2122. Let r = j - 739. Is r a composite number? False Let l(c) = 0*c**3 ...
{ "pile_set_name": "DM Mathematics" }